Help me with my homework, please!

Help Me With My Homework, Please!

Answers

Answer 1

The answer of the given question based on the linear function the answers are ,(a)  The initial value of the function is the y-intercept, which is 55000 , (b) the car will be valued at $35,002 when it has been driven approximately 1666 miles.

What is Function?

Function is a rule that assigns  unique output value to each input value in  a set. The input values are typically represented by variable x, while the output values are represented by  variable y. A function can be thought of as machine that takes an input, processes it according to a specified rule, and produces output.

Functions have many applications in various fields of mathematics and science, like  calculus, linear algebra, and physics. They are also used in computer science and programming, where they are essential for data analysis, machine learning, and other applications.

a. In the linear function y=-9x + 55000, the coefficient of x (-9) represents the rate of change, which indicates how much the value of the car decreases for each mile driven. Specifically, for each mile driven, the value of the car decreases by $9. The initial value of the function is the y-intercept, which is 55000. This represents the value of the car when it has not yet been driven any miles.

b. To find when the car will be valued at $35,002, we can substitute y=35,002 into the linear equation and solve for x:

y=-9x + 55000

35,002=-9x + 55000

-9x = -14998

x = 1666.44

Therefore, the car will be valued at $35,002 when it has been driven approximately 1666 miles.

To know more about Variable visit:

https://brainly.com/question/2466865

#SPJ1


Related Questions

Show your complete solution

4. 5x-13=12

Answers

Answer: x = 5

Step-by-step explanation:

To solve for x, we can first add 13 to both sides to isolate the variable term:

5x - 13 + 13 = 12 + 13

Simplifying the left side and evaluating the right side:

5x = 25

Then, divide both sides by 5 to isolate x:

5x/5 = 25/5

Simplifying:

x = 5

Therefore, the solution to the equation 5x - 13 = 12 is x = 5.

To solve for x in the equation 5x-13=12, we want to isolate the variable x on one side of the equation. We can do this by adding 13 to both sides of the equation:

5x-13+13 = 12+13

Simplifying, we get:

5x = 25

Finally, we can solve for x by dividing both sides of the equation by 5:

5x/5 = 25/5

Simplifying, we get:

x = 5

Therefore, the solution to the equation 5x-13=12 is x = 5.

10.5.PS-18 Question content area top Part 1 The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is square meters 11200. What is the perimeter of the​ track? Use 3.14 for pi.

Answers

First, we need to find the length and width of the rectangle:

Let's suppose the width of the rectangle is "w" and the length is "l".

The area of the rectangle is given as 11200 square meters:

lw = 11200

Now, we need to find the radius of each semicircle. Since the semicircle completes the circle with the rectangle width "w", the radius would be half of the width:

r = w/2

The perimeter of the track can be found by adding the perimeter of the rectangle with the circumference of both semicircles:

Perimeter = 2(l + w) + 2πr
Perimeter = 2(l + w) + 2(3.14)(w/2)
Perimeter = 2(l + w) + 3.14w

We know the area of the rectangle, which is lw = 11200, but we need to find the values of l and w. We can do this by trying different values of l and w that multiply to give 11200.

Here are a few possibilities:
l = 280, w = 40 -> Perimeter = 2(280 + 40) + 3.14(40) = 681.6
l = 560, w = 20 -> Perimeter = 2(560 + 20) + 3.14(20) = 1166.8
l = 1120, w = 10 -> Perimeter = 2(1120 + 10) + 3.14(10) = 2253.6

Therefore, the perimeter of the track could be 681.6 meters, 1166.8 meters, or 2253.6 meters, depending on the values of length and width. Without additional information, we cannot determine the exact perimeter of the track

find the following answer

Answers

According to the Venn diagram the value of [tex]n(A ^ C \cap B ^ C) = {3}[/tex] so the number of elements in that set is 1.

What is Venn diagram ?

A Venn diagram is a diagram that shows all possible logical relations between a finite collection of different sets. It is usually represented as a rectangle or a circle for each set and the overlapping areas between them, showing the common elements that belong to more than one set. Venn diagrams are widely used in mathematics, logic, statistics, and computer science to visualize the relationships between different sets and help solve problems related to set theory.

According to the question:
To solve this problem, we first need to understand the notation used.

n(A) denotes the set A and the numbers within the braces {} indicate the elements in set A. For example, n(A)={7,4,3,9} means that the set A contains 7, 4, 3, and 9.

n(AnB) denotes the intersection of sets A and B, i.e., the elements that are common to both A and B. For example, n(AnB)={4,3} means that the sets A and B have 4 and 3 in common.

^ denotes intersection of sets

cap denotes the intersection of sets

Now, we need to find the elements that are common to sets A and C, and sets B and C. We can do this by taking the intersection of A and C, and the intersection of B and C, and then taking the intersection of the two resulting sets.

[tex]n(A ^ C) = n(A \cap C) = {3,9}[/tex]

[tex]n(B ^ C) = n(B\cap C) = {3,5}[/tex]

Now, we take the intersection of [tex]n(A ^ C)[/tex] and [tex]n(B ^ C)[/tex]:

[tex]n(A ^ C \cap B ^ C) = {3}[/tex]

Therefore, the answer is 1.


To know more about Venn diagrams visit:
https://brainly.com/question/28060706
#SPJ1

x±Z./
x±t./
A highway safety researcher is studying the design of a freeway sign and is interested
in the mean maximum distance at which drivers are able to read the sign. The
maximum distances (in feet) at which a random sample of 9 drivers can read the sign are as follows:
400 600 600 600 650 500 345 500 440
The mean of the sample of 9 distances is 512 feet with a standard deviation of 105
feet.
(a) What assumption must you make before constructing a confidence interval?
•The population distribution is Uniform.
•The population distribution is Normal.
(b) At the 90% confidence level what is the margin of error on your estimate of the true mean maximum distance at which drivers can read the sign.
Answer= feet (round to the nearest whole number)
(c) Construct a 90% confidence interval estimate of the true mean maximum
distance at which drivers can read the sign.
Lower value= feet (round to the nearest whole number)
Upper value= feet (round to the nearest whole number)
(d) There is a 10% chance the error on the estimate is bigger than what value?
Answer= feet (round to the nearest whole number)
(e) The researcher wants to reduce the margin of error to only 15 feet at the 90% confidence level. How many additional drivers need to be sampled? Assume the sample standard deviation is a close estimate of the population standard deviation.
Answer=

Answers

In response to the stated question, we may state that The margin of error function is equal to the highest mistake on the estimate.

what is function?

In mathematics, a function is a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, whereas outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.v

(a) The population distribution must be assumed to be normal before generating a confidence interval.

(b) The margin of error with 90% confidence is provided by:

Error Margin = Z (/2) * (/n)

Where Z (/2) is the confidence level/2 crucial value, is the population standard deviation (unknown), and n is the sample size.

Error Margin = t (/2, n-1) * (s/n)

Where t (/2, n-1) is the critical value for the degrees of freedom /2 and n-1, and s is the sample standard deviation.

(d) The margin of error is equal to the highest mistake on the estimate.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Select which function f has an inverse g that satisfies g prime of 2 equals 1 over 6 period
f(x) = 2x3
f of x equals 1 over 8 times x cubed
f(x) = x3
1 over 3 times x cubed

Answers

The function that satisfies  F Has An Inverse G That Satisfies G'(2) = 1/6 is f(x) = 2x³ (option a).

More precisely, if f(x) is a function, then its inverse function g(x) satisfies the following two conditions:

g(f(x)) = x for all x in the domain of f

f(g(x)) = x for all x in the domain of g

In other words, if we apply f(x) to an input value x, and then apply g(x) to the resulting output, we get back to the original input value.

Now, let's look at the given condition: G'(2) = 1/6. This means that the derivative of the inverse function at x=2 is 1/6. We can use this condition to eliminate some of the options.

f(x) = 2x³

If we take the derivative of f(x), we get: f'(x) = 6x²

To find the inverse function, we can solve for x in the equation y = 2x³:

x = [tex]y/2^{(1/3)}[/tex]

Now we can express the inverse function g(x) in terms of y:

g(y) = [tex]y/2^{(1/3)}[/tex]

To find the derivative of g(x), we use the chain rule:

g'(x) = f'(g(x))⁻¹

g'(2) = f'(g(2))⁻¹

g'(2) = f'([tex]1/2^{(1/3)}[/tex])⁻¹

g'(2) = 6([tex]1/2^{(1/3)}[/tex])²)⁻¹

g'(2) = 6/36 = 1/6

Since g'(2) = 1/6, option a) is the correct answer.

To know more about function here

https://brainly.com/question/28193995

#SPJ4

Mr. wings class collected empty soda, cans for recycling project. each of the 20 students had to collect 40 cans. Each can has a mass of 15 grams. How many kilograms of cans did the class collect to recycle?

A 0.6 kg.
B 12 kg
C 12,000 kg
D 12,000,000 kg

Answers

Step-by-step explanation:

40 cans/student   X   20 students  X  15 gram/can = 12 000 gm  = 12 kg

Locate the absolute extrema of the function on the closed interval

Answers

Answer:

The absolute extrema is minimum at (-1, 2/9)

Step-by-step explanation:

Absolute extrema is a logical point that shows whether a the curve function is maximum or minimum.

Forexample a curve in the image attached. A, B and C are points of absolute maxima or absolute maximum. and P and Q are points of absolute minima or minimum.

Remember A, B, C, P, Q are critical points or stationary points.

How do we find absolute extrema?

The find the sign of the second derivative of the function.

From the question;

[tex]{ \sf{g(x) = \sqrt[3]{x} }} \\ \\ { \sf{g(x) = {x}^{ \frac{1}{3} } }} \\ [/tex]

Find the first derivative of g(x)

[tex]{ \sf{g {}^{l}(x) = \frac{1}{3} {x}^{ - \frac{2}{3} } }} \\ [/tex]

Find the second derivative;

[tex]{ \sf{g {}^{ll} (x) = ( \frac{1}{3} \times - \frac{2}{3}) {x}^{( - \frac{2}{3} - 1) } }} \\ \\ { \sf{g {ll}^{(x)} = - \frac{2}{9} {x}^{ - \frac{5}{3} } }}[/tex]

Then substitute for x as -1 from [-1, 1]

[tex]{ \sf{g {}^{ll}(x) = - \frac{2}{9} ( - 1) {}^{ - \frac{5}{3} } }} \\ \\ = \frac{ - 2}{9} \times - 1 \\ \\ = \frac{2}{9} [/tex]

Since the sign of the result is positive, the absolute extrema is minimum

Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
NOTE: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the 30°-60°-90° Triangle Theorem to find the answer.

Answers

The value of the x is 5√3 after we successfully do the application of the 30°-60°-90° Triangle theorem.

What is Triangle theorem?

The 30°-60°-90° Triangle Theorem states that in such a triangle, the side opposite the 30° angle is half the length of the hypotenuse, and the side opposite the 60° angle is the product of the length of the hypotenuse and the square root of 3 divided by 2.

Using this theorem, we can write:

y = hypotenuse

Opposite of 30° angle = 5 = hypotenuse/2

Opposite of 60° angle = x = hypotenuse × (√(3)/2)

Solving for the hypotenuse in terms of y from the first equation, we get:

hypotenuse = 5×2 = 10

Substituting this value into the third equation, we get:

x = 10 × (√(3)/2) = 5 × √(3)

To know more about hypotenuse, visit:

https://brainly.com/question/29407794

#SPJ1

John is standing on top of a cliff 275 feet above the ocean. The measuremment of the angle of depression to a boat in the ocean is 38 degrees. How far is the boat from the base of the cliff?

Answers

Answer: The boat is approximately 357.4 feet from the base of the cliff.

Step-by-step explanation:

Let x be the horizontal distance from the base of the cliff to the boat. Using the tangent function, we can write:

tan(38) = 275 / x

Solving for x, we have:

x = 275 / tan(38)

Using a calculator, we get:

x ≈ 357.4 feet

Therefore, the boat is approximately 357.4 feet from the base of the cliff.

Answer:

352m

Step-by-step explanation:

h = 275m

a = b (alternative angles)

.: b = 38°

Let the base from the boat to the cliff be d

Using Tan

Tan 38° = opposite ÷ adjacent

Tan 38° ° = 275 ÷d

d = 275 ÷ Tan 38 °

d = 352m

.: The boat is 352m away from the foot of the cliff

4.1 h(x) Consider h(c) = cos 2x 4.1.1 Complete the table below, rounding your answer off to the first decimal where needed: -90° -75° -60° -45° -30° -15° 0° 15° 30° 45° 60° 75° 90° 4.1.2 Now use the table and draw the graph of h(x) = cos 2x on the system of axes below: -90°-75°-60-45-30-15 2- 14 - 1+ -24 (2) 15° 30° 45° 60⁰ 75⁰ 90⁰ (2) (2)​

Answers

Here's the completed table and the graph:

x  h(x)

-90°  1.0

-75°  -0.5

-60°  -1.0

-45° -0.0

-30° 1.0

-15° 0.5

0° 1.0

15° 0.5

30° -0.0

45° -1.0

60° -0.5

75° 1.0

90° 1.0

What is function?

In mathematics, a function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output. Functions are often represented as a set of ordered pairs, where the first element of each pair is an input and the second element is the corresponding output. Functions are a fundamental concept in many areas of mathematics and have many real-world applications, including in science, engineering, and economics.

Here,

To calculate the values of h(c) in the table, we plug in the given values of x into the function h(c) = cos 2x and evaluate. For example, to find h(c) when x = -75°:

h(c) = cos 2x

h(c) = cos 2(-75°) (substitute -75° for x)

h(c) = cos (-150°) (simplify using the double angle identity)

h(c) = -0.5 (evaluate using the unit circle or a calculator)

We repeat this process for each value of x to fill out the table.

To graph the function h(x) = cos 2x, we plot each point from the table on the given system of axes. The x-axis represents the angle x in degrees, and the y-axis represents the value of h(x) = cos 2x. We then connect the points with a smooth curve to obtain the graph.

To know more about function,

https://brainly.com/question/28278699

#SPJ1

Show your solution ( 3. ) C + 18 = 29

Answers

Answer:

Show your solution ( 3. ) C + 18 = 29

Step-by-step explanation:

To solve the equation C + 18 = 29, we want to isolate the variable C on one side of the equation.

We can start by subtracting 18 from both sides of the equation:

C + 18 - 18 = 29 - 18

Simplifying the left side of the equation:

C = 29 - 18

C = 11

Therefore, the solution to the equation C + 18 = 29 is C = 11.

Answer this imagine please

Answers

The expression that is not equivalent to the model shown is given as follows:

-4(3 + 2). -> Option C.

What are equivalent expressions?

Equivalent expressions are mathematical expressions that have the same value, even though they may look different. In other words, two expressions are equivalent if they produce the same output for any input value.

The expression for this problem is given by three times the subtraction of four, plus three times the addition of 2, hence:

3(-4) + 3(2) = -12 + 6 = 3(-4 + 2) = 3(-2) = -6.

Hence the expression that is not equivalent is the expression given in option C, for which the result is given as follows:

-4(3 + 2) = -4 x 5 = -20.

More can be learned about equivalent expressions at https://brainly.com/question/15775046

#SPJ1

According to Money magazine, Maryland had the highest median annual household income of any state in 2018 at $75,847.† Assume that annual household income in Maryland follows a normal distribution with a median of $75,847 and standard deviation of $33,800.
(a) What is the probability that a household in Maryland has an annual income of $90,000 or more? (Round your answer to four decimal places.)
(b) What is the probability that a household in Maryland has an annual income of $50,000 or less? (Round your answer to four decimal places.)

Answers

The required probability that a household in Maryland with annual income of ,

$90,000 or more is equal to 0.3377.

$50,000 or less is equal to 0.2218.

Annual household income in Maryland follows a normal distribution ,

Median =  $75,847

Standard deviation = $33,800

Probability of household in Maryland has an annual income of $90,000 or more.

Let X be the random variable representing the annual household income in Maryland.

Then,

find P(X ≥ $90,000).

Standardize the variable X using the formula,

Z = (X - μ) / σ

where μ is the mean (or median, in this case)

And σ is the standard deviation.

Substituting the given values, we get,

Z = (90,000 - 75,847) / 33,800

⇒ Z = 0.4187

Using a standard normal distribution table

greater than 0.4187  as 0.3377.

P(X ≥ $90,000)

= P(Z ≥ 0.4187)

= 0.3377

Probability that a household in Maryland has an annual income of $90,000 or more is 0.3377(rounded to four decimal places).

Probability that a household in Maryland has an annual income of $50,000 or less.

P(X ≤ $50,000).

Standardizing X, we get,

Z = (50,000 - 75,847) / 33,800

⇒ Z = -0.7674

Using a standard normal distribution table

Probability that a standard normal variable is less than -0.7674 as 0.2218. This implies,

P(X ≤ $50,000)

= P(Z ≤ -0.7674)

= 0.2218

Probability that a household in Maryland has an annual income of $50,000 or less is 0.2218.

Therefore, the probability with annual income of $90,000 or more and  $50,000 or less is equal to 0.3377 and 0.2218 respectively.

learn more about probability here

brainly.com/question/24111146

#SPJ4

CALCULUS HELP NEEDED: Express the integrand as a sum of partial fractions and evaluate the integrals.

[tex]\int\ {\frac{x+3}{2x^{3}-8x}} \, dx[/tex]

**I know I need to solve for A&B, but I have no idea where to start for partial fractions.

Answers

The integral of the function expressed as sum of partial frictions is -3/8 ln|x| + 7/8 ln|x + 2| - 1/8 ln|x - 2| + C.

What is the integral of function?

First, factor out 2x from the denominator to obtain:

∫[(x + 3)/(2x³ - 8x)] dx = ∫[(x + 3)/(2x)(x² - 4)] dx

Next, we use partial fractions to express the integrand as a sum of simpler fractions. To do this, we need to factor the denominator of the integrand:

2x(x² - 4) = 2x(x + 2)(x - 2)

Therefore, we can write:

(x + 3)/(2x)(x² - 4) = A/(2x) + B/(x + 2) + C/(x - 2)

Multiplying both sides by the denominator, we get:

x + 3 = A(x + 2)(x - 2) + B(2x)(x - 2) + C(2x)(x + 2)

Now, we need to find the values of A, B, and C. We can do this by equating coefficients of like terms:

x = A(x² - 4) + B(2x² - 4x) + C(2x² + 4x)

x = (A + 2B + 2C)x² + (-4A - 4B + 4C)x - 4A

Equating coefficients of x², x, and the constant term, respectively, we get:

A + 2B + 2C = 0

-4A - 4B + 4C = 1

-4A = 3

Solving for A, B, and C, we find:

A = -3/4

B = 7/16

C = -1/16

Therefore, the partial fraction decomposition is:

(x + 3)/(2x)(x² - 4) = -3/(4(2x)) + 7/(16(x + 2)) - 1/(16(x - 2))

The integral becomes:

∫[(x + 3)/(2x³ - 8x)] dx = ∫[-3/(8x) + 7/(8(x + 2)) - 1/(8(x - 2))] dx

Integrating each term separately gives:

∫[-3/(8x) + 7/(8(x + 2)) - 1/(8(x - 2))] dx

= -3/8 ln|x| + 7/8 ln|x + 2| - 1/8 ln|x - 2| + C

where;

C is the constant of integration.

Therefore, the final answer is:

∫[(x + 3)/(2x³ - 8x)] dx = -3/8 ln|x| + 7/8 ln|x + 2| - 1/8 ln|x - 2| + C

Learn more about partial fractions here: https://brainly.com/question/24594390

#SPJ1

The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.
n(A)=

Answers

The cardinality of set A, n(A) = 29

What is cardinality of a set?

The cardinality of a set is the total number of elements in the set

Given the Venn diagram here shows the cardinality of each set. To find the cardinality of set A, n(A), we proceed as follows.

Since the cardinality of a set is the total number of elements in the set, then cardinality of set A , n(A) = 9 + 8 + 3 + 9

= 29

So, n(A) = 29

Learn more about cardinality of a set here:

https://brainly.com/question/27846845

#SPJ1

Carli is getting new carpet for her rectangular bedroom. Her room is 14 feet long and
10 feet wide.
If the carpet costs $2.50 per square foot, how much will it cost to carpet her room?

Answers

Therefore, it will cost $350 to carpet Carli's rectangular bedroom with carpet that costs $2.50 per square foot.

What is area?

Area is a measure of the size of a two-dimensional surface or region. It is usually expressed in square units, such as square meters (m²) or square feet (ft²). To calculate the area of a shape, you need to multiply its length by its width or use an appropriate formula for the specific shape. The concept of area is important in many fields, including mathematics, geometry, physics, engineering, architecture, and more. It is used to quantify the space occupied by objects or regions, to determine the amount of material needed to cover a surface, or to calculate the amount of paint or wallpaper required to decorate a room, among other applications.

Given by the question.

The area of Carli's rectangular bedroom can be calculated by multiplying its length by its width:

Area = Length × Width

Area = 14 ft × 10 ft

Area = 140 sq ft

The cost of carpeting her room can be found by multiplying the area of the room by the cost per square foot of carpet:

Cost = Area × Cost per square foot

Cost = 140 sq ft × $2.50/sq ft

Cost = $350

To learn more about measure:

https://brainly.com/question/2384956

#SPJ1

Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch. I need help
D: Please !!!!​

Answers

Answer:

We can use the formula for the area of a rectangle to solve this problem. Let's assume that the length of the top of the bookcase is L and the width is b. Then, we can write:

L × b = 300

Solving for b, we get:

b = 300 / L

Since we don't know the length L, we cannot find the exact value of b. However, we can use the given information to make an estimate. Let's say that the length of the bookcase is 60 inches. Then, we have:

b = 300 / 60 = 5

So, if the length of the bookcase is 60 inches, the width needs to be at least 5 inches to accommodate Bria's soap carving collection. However, if the length is different, the required width will also be different.

Question 6 of 10
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ACDE AOPQ?
Check all that apply.
AA
A. AAS
B. ASA
C. LL
OD. HL
E. LA
F. SAS

Answers

Therefore, A, B, C, and F are the proper responses as the congruence theories or postulates based on the data.

what is triangle ?

Having three straight sides and three angles where they intersect, a triangle is a closed, two-dimensional shape. It is one of the fundamental geometric shapes and has a number of characteristics that can be used to study and resolve issues that pertain to it. The triangle inequality theory states that the sum of a triangle's interior angles is always 180 degrees, and that the longest side is always the side across from the largest angle. Triangles can be used to solve a wide range of mathematical issues in a variety of disciplines and can be categorised based on the length of their sides and the measurement of their angles.

given

We can use the following congruence theories or postulates based on the data in the diagram:

A. ASA

B. AAS

C. LL (corresponding angles hypothesis)

F. SAS

Therefore, A, B, C, and F are the proper responses as the congruence theories or postulates based on the data.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

If n is an integer and n > 1, then n! is the product of n and every other positive integer that is less than n. for example, 5! = 5 x 4 x 3 x 2 x 1a. Write 6! in standard factored formb. Write 20! in standard factored formc. Without computing the value of (20!)2, determine how many zeros are at the end of this number when it is written in decimal form. Justify your answer

Answers

a. 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720. b. 20! = 20 x 19 x 18 x ... x 2 x 1. c. There are 16 zeros at the end of the decimal representation of (20!)2.

a. 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

b. 20! = 20 x 19 x 18 x ... x 2 x 1. To write this in factored form, we can identify the prime factors of each number and write the product using exponents. For example, 20 = 2² x 5, so we can write 20! as:

20! = (2² x 5) x 19 x (2 x 3²) x 17 x (2² x 7) x 13 x (2 x 2 x 3) x 11 x (2³) x (3) x (2) x 7 x (2) x 5 x (2) x 3 x 2 x 1

Simplifying, we get:

20! = 2¹⁸ x 3⁸ x 5⁴ x 7² x 11 x 13 x 17 x 19

c. The number of zeros at the end of (20!)² in decimal form is determined by the number of factors of 10, which is equivalent to the number of factors of 2 x 5. Since there are more factors of 2 than 5 in the prime factorization of (20!)², we only need to count the number of factors of 5. There are four factors of 5 in the prime factorization of 20!, which contribute four factors of 10 to the square. Therefore, (20!)²ends in 8 zeros when written in decimal form.

Learn more about integer here: brainly.com/question/15276410

#SPJ4

The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.

Answers

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

What is the Venn diagram?

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

Know more about the Venn diagram here:

https://brainly.com/question/2099071

#SPJ1

Can someone please help with these 4

Answers

Answer:

Step-by-step explanation:

1)  b      (acute is less than 90)

2)  a     (obtuse: more than 90, less than 180)

3)  c

4) c

Answer:

1. NOM, JOK, KOL

2. MOL, NOK, MOJ

3. NOJ, JOL

4. NOL, MOK

what percentage of the area under the normal curve lies (a) to the left of m? (b) between m s and m 1 s? (c) between m 3s and m 1 3s

Answers

The percentages of the area under curve are 50%, 68%, and 99.7%.

Assuming a standard normal distribution with mean m = 0 and standard deviation s = 1, the percentage of the area under the curve can be determined as follows

To the left of m: This is equivalent to finding the area to the left of the z-score corresponding to m = 0. This is 50%, as the normal distribution is symmetric around the mean.

Between m s and m 1 s: This is equivalent to finding the area between the z-scores corresponding to z = -1 and z = 1. Using a standard normal distribution table or calculator, this is approximately 68% (which is also known as the 68-95-99.7 rule).

Between m 3s and m 1 3s: This is equivalent to finding the area between the z-scores corresponding to z = -3 and z = 3. Using a standard normal distribution table or calculator, this is approximately 99.7% (which is also known as the 68-95-99.7 rule).

Therefore, the percentages of the area under the normal curve are: (a) 50%, (b) 68%, and (c) 99.7%.

To know more about area under curve:

https://brainly.com/question/14998474

#SPJ4

Parts A-D. What is the value of the sample mean as a percent? What is its interpretation? Compute the sample variance and sample standard deviation as a percent as measures of rotelle for the quarterly return for this stock.

Answers

The sample mean is 2.1, the sample variance is 212.5% and the standard deviation is 14.57%

What is the sample mean?

a. The sample mean can be computed as the average of the quarterly percent total returns:

[tex](11.2 - 20.5 + 13.2 + 12.6 + 9.5 - 5.8 - 17.7 + 14.3) / 8 = 2.1[/tex]

So the sample mean is 2.1%, which can be interpreted as the average quarterly percent total return for the stock over the sample period.

b. The sample variance can be computed using the formula:

[tex]s^2 = sum((x - mean)^2) / (n - 1)[/tex]

where x is each quarterly percent total return, mean is the sample mean, and n is the sample size. Plugging in the values, we get:

[tex]s^2 = (11.2 - 2.1)^2 + (-20.5 - 2.1)^2 + (13.2 - 2.1)^2 + (12.6 - 2.1)^2 + (9.5 - 2.1)^2 + (-5.8 - 2.1)^2 + (-17.7 - 2.1)^2 + (14.3 - 2.1)^2 / (8 - 1) = 212.15[/tex]

So the sample variance is 212.15%. The sample standard deviation can be computed as the square root of the sample variance:

[tex]s = \sqrt(s^2) = \sqrt(212.15) = 14.57[/tex]

So the sample standard deviation is 14.57%.

c. To construct a 95% confidence interval for the population variance, we can use the chi-square distribution with degrees of freedom n - 1 = 7. The upper and lower bounds of the confidence interval can be found using the chi-square distribution table or calculator, as follows:

upper bound = (n - 1) * s^2 / chi-square(0.025, n - 1) = 306.05

lower bound = (n - 1) * s^2 / chi-square(0.975, n - 1) = 91.91

So the 95% confidence interval for the population variance is (91.91, 306.05).

d. To construct a 95% confidence interval for the standard deviation (as percent), we can use the formula:

lower bound = s * √((n - 1) / chi-square(0.975, n - 1))

upper bound = s * √((n - 1) / chi-square(0.025, n - 1))

Plugging in the values, we get:

lower bound = 6.4685%

upper bound = 20.1422%

So the 95% confidence interval for the standard deviation (as percent) is (6.4685%, 20.1422%).

Learn more on sample mean here;

https://brainly.com/question/26941429

#SPJ1

Equation of the line in the graph is y=? X + ?

Answers

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-4}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{-6}{3 +3} \implies \cfrac{ -6 }{ 6 } \implies - 1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-3)}) \implies y -2 = - 1 ( x +3) \\\\\\ y-2=-x-3\implies {\Large \begin{array}{llll} y=-x-1 \end{array}}[/tex]

A set of sweater prices are normally distributed with a mean of

58

5858 dollars and a standard deviation of

5

55 dollars.

What proportion of sweater prices are between

48.50

48.5048, point, 50 dollars and

60

6060 dollars?

Answers

Answer:

0.6267

Step-by-step explanation:

See the picture.

Hope its clear.

the figure below shows the change of a population over time. which statement best describes the mode of selection depicted in the figure?

Answers

The statement that best describes the mode of selection depicted in the figure is (b) Directional Selection, changing the average color of population over time.

The Directional selection is a type of natural selection that occurs when individuals with a certain trait or phenotype are more likely to survive and reproduce than individuals with other traits or phenotypes.

In the directional selection of evolution, the mean shifts that means average shifts to one extreme and supports one trait and leads to eventually removal of the other trait.

In this case, one end of the extreme-phenotypes which means that the dark-brown rats are being selected for. So, over the time, the average color of the rat population will change.

Therefore, the correct option is (b).

Learn more about Directional Selection here

https://brainly.com/question/12226774

#SPJ4

The given question is incomplete, the complete question is

The figure below shows the change of a population over time. which statement best describes the mode of selection depicted in the figure?

(a) Disruptive Official, favoring the average individual

(b) Directional Selection, changing the average color of population over time

(c) Directional selection, favoring the average individual

(d) Stabilizing Selection, changing the average color of population over time

The diagrams show three circuits consisting of concentric circular arcs (either half or quarter circles of radii r, 2r, and 3r) and radial lengths. The circuits carry the same current. Rank them according to the magnitudes of the magnetic fields they produce at C, least to greatest
solve correctly and I will pay you $100​

Answers

The rank of the three circuits consisting of concentric circular arcs according to the magnitudes of the magnetic fields they produce at C, from least to greatest is (3), (2), (1).

We know that, the radial segments don't produce magnetic field at C, so consider arcs.

Assume that the current is counter clockwise and the magnetic field to be positive pointing out of the page.

Understand that, magnetic field at the center from an arc φ of radius R is [tex]\frac{{{\mu _0}i\phi }}{{4\pi R}}[/tex]

Therefore, for (1) :

[tex]\begin{gathered}\begin{array}{l}B = \frac{{{\mu _0}i\pi }}{{4\pi \left( {3r} \right)}} + \frac{{{\mu _0}i\pi }}{{4\pi r}}\\ \Rightarrow B = \frac{1}{3}\frac{{{\mu _0}i}}{r}\end{array}\end{gathered}[/tex]

For (2) :

[tex]\begin{gathered}\begin{array}{l}B = \frac{{{\mu _0}i\pi }}{{4\pi \left( {3r} \right)}} - \frac{{{\mu _0}i\pi }}{{4\pi r}}\\ \Rightarrow B = - \frac{1}{6}\frac{{{\mu _0}i}}{r}\end{array}\end{gathered} \\[/tex]

For (3) :

[tex]\begin{gathered}\begin{array}{l}B = \frac{{{\mu _0}i\pi }}{{4\pi \left( {3r} \right)}} - \frac{{{\mu _0}i\left( {\frac{\pi }{2}} \right)}}{{4\pi r}} - \frac{{{\mu _0}i\left( {\frac{\pi }{2}} \right)}}{{4\pi \left( {2r} \right)}}\\ \Rightarrow B = - \frac{5}{{48}}\frac{{{\mu _0}i}}{r}\end{array}\end{gathered}[/tex]

Therefore, the magnitude of the magnetic fields at C after arranging them in the order of least to greatest are (3), (2), (1).

Learn more about Magnetic Fields :

https://brainly.com/question/29658343

#SPJ4

given a function f(x), find the critical values and use the critical values to find intervals of increasing/deacreasing, maxes and mins.

Answers

The critical values, the intervals of increasing or decreasing and the maximum and minimum points of the f(x) is (-1.5, -16), x < -1.5 and x = -1.5 and for b (4,6) and (2,10), (2,4).

A) Critical values

We will find out the critical value by solving for f ' (x) = 0

therefore, taking the derivative of given function we get,

f ' (x) = 4(2x) + 12 = 0

        = 8x + 12 = 0

therefore, 8x = -12

                 x = -12/8

                 x= -1.5

x = -1.5 is the only critical value in x-coordinate. Now to determine the y-coordinate, simply put the value of x in the function f(x) = 4x2 + 12x - 7

we get, f(-1.5) = 4(-1.5)2 + 12 (-1.5) - 7

                      = 4(2.25) - 18 - 7

                      = 9 - 25 = -16  

therefore, the critical value of the function f(x) = 4x2 + 12x - 7 is (-1.5, -16)

f(x) =x3 - 9x2 + 24x - 10.

Intervals of increasing and decreasing function is i.e. f decreases for

x < -1.5.

Therefore, f has minimum value at x = -1.5.

B) Critical values

We will find out the critical value by solving for f ' (x) = 0

therefore, taking the derivative of given function we get,

f '(x) = 3x2 - 9(2x) + 24

       = 3x2 - 18x + 24 = 0

therefore, 3 ( x2 - 6x + 8) = 0

   i.e x2 - 6x + 8 = 0

        (x-4) (x-2) = 0

So, x = 4 or x = 2 are the two critical values in x-coordinate. Now to determine the y-coordinate, simply put the values of x in the function f(x) =x3 - 9x2 + 24x - 10

we get, Substituting x = 4

f(4) = 43 - 9 (4)2 +24 (4) -10

     = 64 - 144 + 96 - 10

     = 6

Now, Substituting x = 2

f(2) = 23 - 9(2)2 + 24(2) - 10

     = 8 - 36 + 48 - 10

     = 10

Therefore, the critical values of the function f(x) =x3 - 9x2 + 24x - 10 are (4,6) and (2,10).

Intervals of increasing and decreasing functions is f decreases in (2,4).

therefore, f has minimum at x = 4 and maximum at x = 2.

Learn more about Critical values:

https://brainly.com/question/15970126

#SPJ4

Complete question:

For each function determine: i) the critical values ii) the intervals of increasing or decreasing iii) the maximum and minimum points.

a. f(x) = 4x²+12x–7 (3 marks)

b. F(x) = x°-9x²+24x-10 (3 marks)

When expressions of the form (x −r)(x − s) are multiplied out, a quadratic polynomial is obtained. For instance, (x −2)(x −(−7))= (x −2)(x + 7) = x2 + 5x − 14.
a. What can be said about the coefficients of the polynomial obtained by multiplying out (x −r)(x − s) when both r and s are odd integers? when both r and s are even integers? when one of r and s is even and the other is odd?
b. It follows from part (a) that x2 − 1253x + 255 cannot be written as a product of two polynomials with integer coefficients. Explain why this is so.

Answers

a.(1) When both r and s are odd integers, the quadratic polynomial obtained by multiplying out (x - r)(x - s) will have a coefficient of 1 for x^2 term, and both the coefficient of x term and constant term will be odd integers.

(2) When both r and s are even integers, the polynomial obtained by multiplying out (x - r)(x - s) will also have a coefficient of 1 for x^2 term, but the coefficient of x term and constant term will be even integers.

(3) When one of r and s is even and the other is odd, the polynomial obtained by multiplying out (x - r)(x - s) will have a coefficient of 1 for x^2 term, the coefficient of x term will be an odd integer, while the constant term will be an even integer.

b. x^2 - 1253x + 255 cannot be written as a product of two polynomials with integer coefficients.

a. When both r and s are odd integers, the product (x − r)(x − s) will have a coefficient of 1 for x^2 term, and both the coefficient of x term and constant term will be odd integers. This is because the sum of two odd integers and the product of two odd integers is also an odd integer.

When both r and s are even integers, the product (x − r)(x − s) will also have a coefficient of 1 for x^2 term, but the coefficient of x term and constant term will be even integers. This is because the sum of two even integers and the product of two even integers is also an even integer.

When one of r and s is even and the other is odd, the product (x − r)(x − s) will have a coefficient of 1 for x^2 term, and the coefficient of x term will be an odd integer, while the constant term will be an even integer. This is because the sum of an odd and even integer is an odd integer, and the product of an odd and even integer is an even integer.

b. If x^2 - 1253x + 255 can be written as a product of two polynomials with integer coefficients, then we can write it as (x - r)(x - s) where r and s are integers. From part (a), we know that both r and s cannot be odd integers since the coefficient of x term would be odd, but 1253 is an odd integer. Similarly, both r and s cannot be even integers since the constant term would be even, but 255 is an odd integer. Therefore, one of r and s must be odd and the other must be even. However, the difference between an odd integer and an even integer is always odd, so the coefficient of x term in the product (x - r)(x - s) would be odd, which is not equal to the coefficient of x term in x^2 - 1253x + 255. Hence, x^2 - 1253x + 255 cannot be written as a product of two polynomials with integer coefficients.

Learn more about quadratic polynomial here

brainly.com/question/28988445

#SPJ4

Given f(x) = x³ + kx + 9, and the remainder when f(x) is divided by x − 2 is 7,
then what is the value of k?

Answers

Answer:

k = -5

Step-by-step explanation:

According to the Remainder Theorem, when we divide a polynomial f(x) by (x − c), the remainder is f(c).

Therefore, if we divide polynomial f(x) = x³ + kx + 9 by (x - 2) and the remainder is 7 then:

f(2) = 7

To find the value of k, simply substitute x = 2 into the function, equate it to 7 and solve for k.

[tex]\begin{aligned}f(2)=(2)^3 + k(2) + 9 &= 7\\8+2k+9&=7\\2k+17&=7\\2k&=-10\\k&=-5\end{aligned}[/tex]

Therefore, the value of k is -5.

Other Questions
41) The primary function of the integument of an ovule is to. A) protect against animal predation. B) ensure double fertilization. C) form a seed coat. Write It Down! Achieve 3000 answers. I need help!!! On April 1 Jiro Nozomi created a new travel agency, Adventure Travel. The following transactions occurred during the company's first month.April1 Nozomi invested $30,000 cash and computer equipment worth $20,000 in the company. Received common stock (50,000 shares at $1 par).2The company rented furnished office space by paying $1,800 cash for the first & last month's rent.3The company purchased $1,000 of office supplies for cash.10The company paid $2,400 cash for the premium on a 12-month insurance policy. Coverage begins on April 11.14The company paid $1,600 cash for two weeks' salaries earned by employees.24The company collected $8,000 cash on commissions from airlines on tickets obtained for customers.28The company paid $1,600 cash for two weeks' salaries earned by employees.29The company paid $350 cash for minor repairs to the company's computer.30The company paid $750 cash for this month's telephone bill.30Nozomi received $1,500 cash dividends from the company.The company's chart of accounts follows:101Cash405Commissions Earned106Accounts Receivable612Depreciation Expense Computer Equip.124Office Supplies622Salaries Expense128Prepaid Insurance637Insurance Expense167Computer Equipment640Rent Expense168Accumulated Depreciation Computer Equip.650Office Supplies Expense209Salaries Payable684Repairs Expense301Common Stock688Telephone Expense302Dividends901Income SummaryRequired: Create: Chart of Accounts, General Ledger, General Journal, Unadjusted Trial Balance, Adjusted Trial Balance, Post-Closing Trial Balance, Income Statement, Statement of Retained Earnings, Balance Sheet. READ the information on the accounting cycle, general ledger, etc. prior to beginning the assignment.1. Use the balance column format to set up each ledger account listed in its chart of accounts.2. Prepare journal entries to record the transactions for April and post them to the ledger accounts. The company records prepaid and unearned items in balance sheet accounts.3. Prepare an unadjusted trial balance as of April 30.4. Use the following information to journalize and post adjusting entries for the month:1. Two-thirds (or $133) of one month's insurance coverage has expired.2. At the end of the month, $600 of office supplies are still available.3. This month's depreciation on the computer equipment is $500.4. Employees earned $420 of unpaid and unrecorded salaries as of month-end.5. The company earned $1,750 of commissions that are not yet billed at month-end.5. Prepare the adjusted trial balance as of April 30. Prepare the income statement and the statement of retained earnings for the month of April and the balance sheet at April 30.6. Prepare journal entries to close the temporary accounts and post these entries to the ledger.7. Prepare a post-closing trial balance8. Check(3) Unadj. trial balance totals, $58,000(4a) Dr. Insurance Expense, $133(5) Net income, $2,197Retained Earnings (4/30), $697; Total assets, $51,117(7) P-C trial balance totals, $51,61 The back emf in a motor is 72 V when operating at 1800 rpm. What would be the back emf at 2500 rpm if the magnetic field is unchanged? Which of the following would be effective methods of implementing the new strategy for your business fraternity? Check all that apply._Create a strategic plan that outlines the steps necessary to achieve the goals. Present the plan at the next chapter meeting._Announce a new project at the chapter meeting and act as project manager for the activity._Invite leadership from local companies to attend your weekly meetings to speak about and provide training on various business topics._Ask chapter members to volunteer as project managers and task them with soliciting project opportunities from local businesses._Announce the new strategy to the chapter at your weekly meeting. If members are receptive, step back and allow members to seek out projects to work on. _________ occurs when people perceive that they are being attacked or threatened.-Defensiveness-Assertiveness-Passivity-Offensiveness-Aggression Miguel ofers to sell Nisha 100 laptops at $50 each. Nisha ponders over the offer but mails her acceptabnce that evening to Miguel. Before her acceptance reaches Miguel, Mignuel finds another buyer who is willing to pay $70.00 each for the laptops. Miguel sends a revocation mail the next day to cancel his intiial offer to to Nisha, but a storm has hit the city causing the mail services to halt temporariily. Which of the following satements is true about this stiuation? A) as per the miror image rule, Nisha cannot sue Miguel for revoking his initial offer b) Miguel can use the doctrine of the promissory estoppel to defend his right to find and sell his laptops to another buyer c) As per the mailbox rule, Miguel cannot revolke his initial offer to Nisha as she had accepted his offer d) Nisha cannot sue Miguel as the deposited asseptance does not create a binding contract despite Miguel's revocation. e) Nisha cannot sue Miguel as the storm prevents Miguel from mailing his revocation. When citrate is shuttled out of the mitochondria for fatty acid synthesis, the initial reaction by citrate lyase generates which of the following products?a. Citrate and oxaloacetateb. Pyruvate and malatec. Acetyl-CoA and oxaloacetated. Acetyl-CoA and citrate C. Direction: A. Match each type of pronoun to its description.*Relative pronoun *Possessive pronoun *Indefinite pronoun subject.*Demonstrative pronoun *Personal pronoun *Reflexive pronoun to. *Interrogative pronoun *Intensive pronoun is a word ending in -self or -selves that is used in combination is a pronoun used to ask a question. used as an object that refers to the same person or thing as the short word we use as a simple substitute for the proper name. a pronoun used to point to specific people or things.pronoun that doesn't specifically identify what it is referring. a pronoun used to indicate ownership. word that is used to connect an independent clause. Help!!.. Please... 1. Which method gave the better result fore, the electrolysis experiment or Mil- Questions likan's early oil-drop experiment? Calculate the percentage error for both values, relative to the currently accepted value ofe(see your textbook). Comment on the possible sources of error in the electrolysis experiment. What do you think were the sources of error in Millikan's experiment? 2. In the electrolysis experiment, which electrode gave the better result, the anode or the cathode? Why is the result better at one electrode than at the other? 3. Why should the electrodes be kept in fixed relative positions during the electrolysis? Is it really necessary for them to be parallel? Evaluate and discuss your results for the second electrolysis. Was there any difference between the first and second electrolysis? Which was more accurate? From your observations, can you tell why? Based on DNA evidence showing the presence of mitochondrial genes, microsporidia have been moved to the fungal kingdom from which of the following?Plant kingdomAnimal kingdomProtist kingdom what the main definition of Problem solving in psycholgy? how is okonkwo greeted by his mother's kinsmen? why do you think they do not judge him negetavely for his crime? In preparing a company's statement of cash flows for the most recent year, the following information is available:Loss on the sale of equipment $14,000Purchase of equipment $225,000Proceeds from the sale of equipment $106,000Repayment of outstanding bonds $87,000Purchase of treasury stock $25,000Issuance of common stock $96,000Purchase of land $115,000Increase in accounts receivable during the year $33,000Decrease in accounts payable during the year $75,000Payment of cash dividends $35,000Net cash flows from investing activities for the year were:a) $234,000$234,000 of net cash used.b) $120,000$120,000 of net cash provided.c) $340,000$340,000 of net cash used.d) $259,000$259,000 of net cash used.e) $280,000$280,000 of net cash provided. chromium metal has a binding energy of 7.21 x 10-19 j for certain electrons. what is the photon frequency needed to eject electrons with 2.2 x 10-19 j of energy? suppose you experimentally calculate the value of the density of co2 as 2.03 g/l. the known value is 1.98 g/l. what is the percent error of your experimentally determined density? Having goals for projects is very important. It is also helpful to keep that goal in a place that you will be reminded of it. Some students write it on a note and tape it to their computer. Others might create a reminder on their smart phones. One goal that you will need to meet is the due date for the research paper and the presentation.Take a few minutes to discuss with your teacher when your final research paper and presentation are due. Type in the date in the space below. 1. The line segment AB has endpoints A(-5, 3) and B(-1,-5). Find the point that partitions the line segment ina ratio of 1:3 calculate the fluid force on one side of a 5ft by 5ft square plate if the plate is at the bottom of a pool filled with water to a depth of 8ft and, a. lying flat on its 5ft by 5ft face. b. resting vertically on a 5 ft edge c. resting on a 5 ft edge and tilted at 45 degrees to the bottom of the pool. Among African Americans at the beginning of the twentieth century, Booker T. Washington's ideas were ______ they had been at the end of the nineteenth century.