Answer:
35
Step-by-step explanation:
1.divide the miles that Oscar drove to get 105÷3=35
a young rattlesnake grows at a rate of about 20 centimeters per year. Write an expression to represent how much ghe rattlesnake grows in y years
The exponential function to show the growth in y years is P(1.2)^y
Exponential FunctionAn exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
In this problem, this is an exponential growth since the rate increases.
Let;
P = Initial lengthA = Length in y yearsr = rate of growthThe exponential function to represent this will be;
A = P(1 + r)^y
A = P(1 + 0.2)^y
A = P(1.2)^y
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75 points
Which statement is true about the relationship between the amount of plant food remaining and the number of days?
A. This relationship is not a function because only one amount of plant food remains each day.
B. This relationship is a function because only one amount of plant food remains each day.
C. This relationship is not a function because more than one amount of plant food remains each day.
D. This relationship is a function because more than one amount of plant food remains each day.
Answer:
Step-by-step explanation:
it is A/ this relationship is not a function because only one amount of plant food remains each day.
Answer:
it is A/ this relationship is not a function because only one amount of plant food remains each day.
Step-by-step explanation:
Michael and Maria saw 6 cupcakes on the table. Michael ate 1/3 of the cupcakes. Maria ate 1/2 cupcakes. How many cupcakes are left on the table?
A:1 cupcake
B:1 1/2 cupcakes
C:4 2/5 cupcakes
D:2 cupcakes
Answer: The answer is C
Step-by-step explanation:
6- 1/3 - 1/2 = 4 2/5
(redo) A mistake was made in the steps shown to simplify the expression. which step includes the mistake?? EDMENTUM
The step in which there was a mistake in the simplification of the expression is given as follows:
A. Step 5.
How to simplify the expression?The expression in this problem is defined as follows:
(1 + 3²)/5 + |-10|/2
The first step is applying the absolute value of -10, which is the distance of -10 from the origin of 0, hence it is of 10 and the expression is given then by:
(1 + 3²)/5 + 10/2.
Then the square is applied to 3², as 3 x 3 = 9, hence:
(1 + 9)/5 + 10/2
The parenthesis takes precedence, hence:
10/5 + 10/2.
The first quotient takes precedence, hence:
2 + 10/2.
Then in Step 5 there was the mistake, as the quotient takes precedence over the addition, meaning that the expression should have been simplified as follows:
2 + 5 = 7.
This means that option A is correct.
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At a little-known vacation spot, taxi fares are a bargain. A 21-mile taxi ride
takes 28 minutes and costs $8.40. You want to find the cost of a 48-minute taxi ride. What unit price do you need?
The unit price of a taxi cost is $0.30 per minute. And the total cost of a 48-minute taxi ride will be $14.4.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
At a generally secret getaway destination, taxi passages are a deal. A 21-mile taxi ride requires 28 minutes and expenses $8.40.
The number of dollars in each minute that the taxi driver charges will be given as,
Rate = $8.40 / 28
Rate = $0.30 per minute
If the taxi ride is of 48-minute. Then the total cost is given as,
Total cost = $0.30 x 48
Total cost = $14.4
The unit cost of a taxi cost is $0.30 each moment. Furthermore, the complete expense of a 48-minute taxi ride will be $14.4.
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The base of triangle exceeds the height by 4cm if the area is 30cm² then find the langth of base & hight of triangle
Answer:
Base = 10 cm
Height = 6 cm
Step-by-step explanation:
Here is the formula for the area of a triangle.
[tex]A=\frac{bh}{2}[/tex]
We are given
[tex]A=30[/tex]
[tex]b=h+4[/tex]
Replace all occurrences of [tex]b[/tex] with [tex]h+4[/tex] in each equation.
[tex](h+4)*\frac{h}{2} =30[/tex]
Apply the distributive property.
[tex]h(\frac{h}{2})+4(\frac{h}{2})=30[/tex]
[tex]\frac{h*h}{2}+4(\frac{h}{2})=30[/tex]
Use the power rule to combine exponents.
[tex]\frac{h^2}{2}+4(\frac{h}{2})=30[/tex]
Factor 2 out of 4 .
[tex]\frac{h^2}{2}+2(2)(\frac{h}{2})=30[/tex]
Cancel the common factor.
[tex]\frac{h^2}{2}+2h=30[/tex]
Solve for h.
Multiply each term in [tex]\frac{h^2}{2}+2h=30[/tex] by 2 to eliminate the fractions.
[tex]\frac{h^2}{2}*2+2h*2=30*2[/tex]
Simplify each term.
Cancel the common factor of 2.
[tex]h^2+2h*2=30*2[/tex]
[tex]h^2+4h=60[/tex]
Subtract 60 from both sides of the equation.
[tex]h^2+4h-60=0[/tex]
Factor using the AC method.
Consider the form [tex]x^2+bx+c[/tex] . Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex] . In this case, whose product is − 60 and whose sum is 4 .
−6, 10
Write the factored form using these integers.
[tex](h-6)(h+10)=0[/tex]
Set [tex]h-6[/tex] equal to 0 and solve for h.
Then add 6 to both sides of the equation.
[tex]h-6=0\\h=6[/tex]
Set [tex]h+10[/tex] equal to 0 and solve for h.
Then subtract 10 from both sides of the equation.
[tex]h+10=0\\h=-10[/tex]
The final solution is all the values that make [tex](h-6)(h+10)=0[/tex] true.
[tex]h=6,-10[/tex]
Given [tex]b=h+4[/tex]
Replace all occurrences of h with 6 in each equation.
[tex]b=6+4\\b=10\\h=6[/tex]
Given that a line has a y-intercept of 3 and a slope of 4, write an equation for the line in slope intercept form.
a. y=3x+4
b. y=4x+3
c.y=(-3/4)x+3
d.y=(4/3)x+4
Answer:
equation of the line should be y=3x+4.
Step-by-step explanation:
I apologize if i'm wrong :)
Consider the equation y = negative 2 x + 5. Create a table of five ordered pairs that satify the equation. What is the slope of the line represented by the equation? a. M = 2 b. M = 5 c. M = negative 2 d. M = negative 5.
Answer: C
Step-by-step explanation:
Slope is the number right in front of x, which in this case would be -2. So C is the answer.
Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.
x|y
0|5
1|3
2|1
3|-1
4|-3
Given MN is perpendicular to MP, PQ is perpendicular to MP, and NR is congruent to OR. Prove triangle NRP is congruent to triangle QRM
1. [tex]\overline{MN} \perp \overline{MP}[/tex], [tex]\overline{PQ} \perp \overline{MP}[/tex] (given)
2. [tex]\angle NMP[/tex] and [tex]\angle MPQ[/tex] are right angles (definition of perpendicular lines)
3. [tex]\angle NMP \cong \angle MPQ[/tex] (all right angles are congruent)
4. [tex]\overline{NR} \cong \overline{QR}[/tex] (given)
5. [tex]\angle NRM \cong \angle QRP[/tex] (vertical angles)
6. [tex]\triangle PRQ \cong \triangle MRN[/tex] (AAS)
7. [tex]\overline{MR} \cong \overline{RP}[/tex] (CPCTC)
8. [tex]\angle NRP \cong \angle MRQ[/tex] (vertical angles)
9. [tex]\triangle NRP \cong \triangle QRM[/tex] (SAS)
Round 24.07 to the nearest tenths. It’s for an app it got a number line
24.07 rounded to the nearest tenth is 24.1
what is the the difference between a repeating decimal and a nonstop decimal on the rational numbers chart
Repeating decimals are those numbers that, following the decimal point, continue to repeat the same value. The term "non-repeating rational numbers" refers to decimal numbers that do not repeat their value after the decimal point.
Repeating decimals are those numbers that, following the decimal point, continue to repeat the same value. Recurring numbers is another name for these figures. The term "non-repeating rational numbers" refers to decimal numbers that do not repeat their value after the decimal point.
A repeating decimal can be a rational number, and any integer is a rational number since it can be expressed as a fraction by simply assigning it a denominator of 1. Then, by multiplying and dividing the decimal according to its place values, we can also state that a terminating decimal can be expressed as a fraction.
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I need help with these
Answer:
[tex] = \frac{11}{10} \\ \\ [/tex]
this is the correct answer for first question
The Fernandez family has a square kitchen with an area of 182.25\ m^{2}182.25 m
2
.
Find the perimeter of the Fernandez' square kitchen, in meters
Answer:D 3,215.36 square feet. 1.9m. 2)
Step-by-step explanation:
Answer:
perimeter = 54.08
Step-by-step explanation:
We are told that the area of a square kitchen is 182.25 m². We are then asked to calculate the perimeter of the kitchen.
The perimeter of a shape is simply the sum of the length of its sides. Therefore, in order to calculate the perimeter of the kitchen, we need to know the length of its sides.
Given that we know the area of the square kitchen, we can use the formula:
[tex]\boxed{\mathrm{Area = side^2}}[/tex],
and rearrange it to make the side the subject:
Area = side²
⇒ [tex]182.25 = \mathrm{side^2}[/tex]
⇒ [tex]\sqrt{182.85} = \mathrm{\sqrt{side^2}}[/tex] (taking the square root of each side)
⇒ [tex]13.52 = \mathrm{side}[/tex]
⇒ side = 13.52 m
Therefore, the length of each side of the square kitchen is 13.52 m.
A square has 4 sides; therefore the perimeter of the kitchen can be calculated as follows:
perimeter = [tex]4 \times 13.52[/tex]
= [tex]\bf 54.08 \ m[/tex]
Therefore, the perimeter of the square kitchen is 54.08 m.
A storage box with a square base has a length of 2 feet and a height of 2 1/2 feet what is the volume of the storage box
Answer:
10
Step-by-step explanation:
Using this equation,
l × w × h = v
We can simply substitute the numbers into the equation.
2 × 2 × 2 1/2 =?
(We know that the width is equal to 2 because it is a square.)
2 × 2 = 4,
4 × 2 1/2 = 10
The volume of the storage box is equal to 10.
Using composition of functions, determine if the two functions are inverses of each other. A. No, because the functions contain different operations. B. Yes, for all values x ≥ 0. C. No, because the composition does not result in an answer of x. D. Yes, because F(x) is equal to –G(x).
Yes, for all values x ≥ 0. If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other.
What is composition of functions?Composition of functions is a mathematical operation that involves combining two functions to form a new function. To determine if two functions are inverses of each other using composition of functions, we need to first define the two functions and then determine if the composition of the two functions is equal to the identity function (f(x) = x).If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other. In this case, the correct answer is B: Yes, for all values x ≥ 0.To learn more about composite functions refer :
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Annapurna suppliers sold construction materials of
Rs. 4,40,000 to Angel suppliers making 10% profit
and adding 13% VAT. Angel suppliers spent Rs. 5,000
for transportation cost and made 10% profit on the
purchased price excluding VAT and levied local tax Rs.
2500 and sold to constructor. What VAT amount should
be paid by the constructor?"
Ans: Rs. 70187
First, we need to find the price that Angel suppliers paid for the construction materials, including the profit made by Annapurna suppliers and the VAT.
The price that Annapurna suppliers sold the materials for was Rs. 4,40,000 + Rs. 4,40,000 * 10% = Rs. 4,84,000.
The VAT that Annapurna suppliers added was Rs. 4,84,000 * 13% = Rs. 62,820.
So, the total price that Angel suppliers paid was Rs. 4,84,000 + Rs. 62,820 = Rs. 5,46,820.
Next, we need to find the price that the constructor paid for the materials, including the profit made by Angel suppliers, the transportation cost, the local tax, and the VAT.
The profit that Angel suppliers made was Rs. 5,46,820 * 10% = Rs. 54,682.
The total price that the constructor paid was Rs. 5,46,820 + Rs. 54,682 + Rs. 5,000 + Rs. 2,500 = Rs. 6,58,002.
The VAT that the constructor should pay is Rs. 6,58,002 * 13% = Rs. 70187.
Therefore, the answer is Rs. 70187.
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Hello can someone help me out with these two questions!?!?! This will help me a lot thank you! :D
The solution to the first inequality is x ≥ -2. Option 1 is correct. The solution to the second inequality is x ≤ -7. Option 1 is correct.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
The inequalities are,
2( x +6 ) > -6( x +1) +2
2x + 12 > -6x - 6 + 2
2x + 6x > -12 - 6 +2
8x > -16
x > -2
-3x - 1 ≥ 20
-3x ≥ 21
x ≥ -7
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Delma finds that it takes 27 paces to walk from her current location to the rock. She also knows that each of her paces is 14 inches long. Explain how she can use this information to estimate the distance across the river.
To estimate the distance across the river, Delma can multiply the number of paces she takes by the length of each pace to find the total distance she walks.
For example, if Delma takes 27 paces and each of her paces is 14 inches long, she can estimate the distance she walks by performing the following calculation:
27 paces * 14 inches/pace = 378 inches
This means that Delma estimates the distance across the river to be 378 inches, or about 31.5 feet.
It's important to note that this is just an estimate, and the actual distance across the river may be slightly different due to factors such as the terrain or the accuracy of Delma's pacing.
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Which of the following represents a true statement
The equation on indices that represents a true statement is B . 14 ⁰ x 14 ³ = 14 ³.
How to multiply indices ?When multiplying indices , we follow the Law of Indices which states that when multiplying indices with the same base , we simply keep the base and add the indices . For division with the same base , we subtract the indices from each other .
The answer to 14 ⁰ x 14 ³ is therefore :
= 14 ⁰ x 14 ³
= 14 ⁰ ⁺ ³
= 14 ³
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what is the product of all constants $k$ such that the quadratic $x^2 kx 15$ can be factored in the form $(x a)(x b)$, where $a$ and $b$ are integers?
The value of k as calculated from the information provided is -16 , -8 , 8 , 16.
The given equation is,
x² + kx + 15
= ( x + a ) (x + b)
= x² + (a + b ) x + ab
Therefore,
k = a + b
ab = 15
as known , a and b are integers,
15 = ( -1 x -15 ) , ( 1 x 15)
15 = (-3 x -5) , (3 x 5 )
Therefore,
k = -1 -15
= -16
and
k = -3 - 5
=8
The values of k are -16 , -8 , 8 , 16.
The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.
On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.
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a plane, 50 miles away from its destination, is flying toward the airport at an altitude of 30,500 feet. later, this same plane is 20 miles from the airport and has descended to an altitude of 18,000 ft. how far has the plane flown?
Using the geometry from the question and using the Pythagorean theorem with the distance provided, The answer is 30.09 miles.
What is unit conversion?By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units.
What is Pythagorean theorem and it's formula?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
It's formula is:
[tex]h^{2} = p^{2} +b^{2}[/tex]
h1=30500 feet = 5.77 miles
d1= 50 miles
h2= 18000 feet = 3.4 miles
d2= 20 miles
for right angle triangle,
height = h1-h2 = 2.37 miles
distance = 50-20 = 30 miles
plane flown = [tex]\sqrt{2.37^{2}+30^{2}}[/tex]
=30.09 miles
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The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100 m, find Its area.
Answer:4
Step-by-step explanation:
rectangular prism 1 829 equals the conterpostiive
In the formula for average rate of change, what does the triangle in front of the x and y stand for? a. interval between x and y c. delta notation-change in y over change in x b. initial value of x and y d. the percent rate of change of y and x
The triangle in front of the x and y represents the ratio of the change in y to the change in x. Option C is the correct choice based on this interpretation.
The calculation involves determining the average rate of change between two given points, namely (x₁, y₁) and (x₂, y₂).
The average Rate of Change is given by, = ∆y / ∆x
where ∆y represents the change in the y-values [tex](y_2_-y_1)[/tex], and ∆x represents the change in the x-values [tex](x_2 - x_1)[/tex] between the two points on the function.
In the average rate of change formula, the triangle symbol (∆) preceding the x and y denotes the delta notation, which signifies "change in." More precisely, it indicates the change in y divided by the change in x.
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Jada has a meal in the Bobby Salazar's restaurant. The subtotal on her bill was $48. If the tax rate is 8% how much was the tax? (round to the nearest cent)
Answer:
Tax = $3.84
Total = $51.84
Step-by-step explanation:
48 • 8%
48 • 8/100 = 3.84
48 + 3.84 = 51.84
question in screenshot (need help ASAP)
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
stays the same
increases
decreases
Population standard deviation, level of significance are same.
Margin of error increased.
With increase in margin of error sample size decreases.
By dividing the population's standard deviation by the sample size and then multiplying the resulting number by the crucial factor, the margin of error—a statistical expression used to estimate how much a result will deviate from the value of the full population—can be determined.
The standard deviation of the sample statistics, if we could take several samples of the same size, is the standard error.
Population standard deviation, level of significance are same.
Margin of error increased.
Margin of error increases leads to decrease in the sample size
as the margin of error is in denominator position in sample size formula. Hence with increase in margin of error sample size decreases.
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Find the inverse of the function f(x) = 3x + 2. State the answer in slope-intercept form.
I need to know what p is 12.4 - p =7.9
Answer: p = 4.5
Step-by-step explanation:
12.4 - 4.5 = 7.9
Answer: p=4.5
Step-by-step explanation:
You do it like this: 12.4=7.9+p
12.4-7.9=p
p=4.5
Word Problems: (please write out the equations and solve it)
1. David is going out for a pizza. The Pizza costs $10.50 plus $1.50 for each extra
topping ,x. Write an equation to represent the total cost of the pizza, t.
Dependent variable:
Independent variable:
Equation:
Use your equation to determine the total cost of the pizza with 3 extra
toppings.
The total cost of the pizza is
Dependent variable: t (total cost of the pizza)
Independent variable: x (number of extra toppings)
Equation: t = 10.50 + 1.50x
To determine the total cost of the pizza with 3 extra toppings, plug in x = 3 into the equation:
t = 10.50 + 1.50(3)
t = 10.50 + 4.50
t = 15.00
So the total cost of the pizza with 3 extra toppings is $15.00.
What is Dependent Variables?
The dependent variable is the variable that is being measured or studied in a statistical or scientific research study. It is called the dependent variable because it is believed to depend on the value of one or more other variables, known as the independent variables.
What is Independent Variables?
Independent variables are variables that are manipulated or controlled by the researcher in a scientific or statistical study. They are called independent variables because they are believed to have an effect on the dependent variable, which is the variable being measured or studied.
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Use long division to find the quotient below.
(5x5 + 90x² - 135x) + (x+3)
O A. 5x -5x³ + 25x² - 45x
OB. 5x4-15x³ + 45x² - 45x
O C. 5x + 5x³-25x² - 45x
○ D. 5x¹ + 15x³ - 45x² - 45x
Use long division to the quotient is [tex]5 x^5+90 x^2-134 x+3[/tex]
What is quotient?
A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.A fraction's quotient is the whole number that results from simplifying the fraction. The quotient is the fraction's decimal form if the simplified fraction yields a non-whole number.
[tex]\begin{aligned}& \text { Simplify }\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-134 x+3 \\& \text { Steps } \\& \left(5 x^5+90 x^2-135 x\right)+(x+3)\end{aligned}[/tex]
[tex]Simplify $\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-135 x+x+3$[/tex]
[tex]=5 x^5+90 x^2-135 x+x+3[/tex]
[tex]Add similar elements: $-135 x+x=-134 x$[/tex]
[tex]=5 x^5+90 x^2-134 x+3[/tex]
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