Answer:
A. 1/2 ÷ 2 = 1/4 is true.
B. 1/3 ÷ 4 = 1/12 is true.
C. 1/2 ÷ 6 = 1/12 is true.
D. 1/5 ÷ 2 = 1/10 is true.
E. 1/8 ÷ 3 = 1/24 is true.
Therefore, all the quotients are true.
(please mark my answer as brainliest)
Help me please.
Whoever answers right gets brainliest
Answer:y=x-5
Step-by-step explanation:this is the answer for sure
Answer:
[tex]y=x-5[/tex]
Step-by-step explanation:
Notice for every X you do increase your Y by 1, this is the slope must be 1, to check you can use the slope equation with any two points
[tex]m= \frac{-4-(-3)}{1-(2)} =-1[/tex]
The lets use one point and the line equation:
[tex]y-yo=m(x-xo)[/tex]
[tex]y+4=-1(x-1)[/tex]
Solving for Y you can obtain
[tex]y=x-5[/tex]
You can input any X value and check the Y value to be sure, for example, for X=3 you can check Y=3-5=-2. In the table for X=3 the Y value is -2, so this checks.
Suppose that an individual has a body fat percentage of 16.3% and weighs 163 pounds. How many pounds of his weight is made up of fat? Round your answer
to the nearest tenth.
pounds
X
Consequently, the person's weight is roughly 26.5 pounds of fat (rounded to the nearest tenth).
what is unitary method ?By determining the value of a single unit or quantity and then scaling that value up or down to determine the value of another quantity, the unitary method is a mathematical strategy used to solve problems. According to the unitary method's guiding concept, if one quantity or unit has a certain value, then a predetermined number of those same quantities or units will have a proportionate value. For instance, 5 apples would cost $5 if 1 fruit cost $1.
given
We can use the person's weight and body fat proportion to determine how many pounds of body fat they have. We can commence by calculating the decimal weight of the body fat:
weight of body fat Equals body fat percentage * weight
= 0.163% * 163 lbs.
= 26.509 lbs.
Consequently, the person's weight is roughly 26.5 pounds of fat (rounded to the nearest tenth).
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Replace the loading system by an equivalent resultant force and couple moment acting at point o. Assume F1 = {-300i + 170j + 190k}N (Figure 1) Part A Determine the resultant force. Enter the 2, y and a components of the resultant force separated by commas. A vec O ? FR = Submit Request Answer Part B Determine the couple moment acting at point 0. Enter the x, y and 2 components of the couple moment separated by commas. Figure O AQ O vec O ? < 1 of 1 > (Mon= N.mn Submit Request Answer 1 m OS Provide Feedback F = (-450k) N
The resultant force is equal to F1, which is {-300i + 170j + 190k}N, and the couple moment acting at point 0 is (-0.19i - 0.34j + 0.15k) N.m.
To determine the resultant force acting at point O, we can add all the forces acting at point O. In this case, we have only one force F1 = {-300i + 170j + 190k}N. Therefore, the resultant force acting at point O is F1 itself.
To determine the couple moment acting at point O, we can use the formula:
M = r x F
where r is the position vector from point O to any point on the line of action of force F.
Since we don’t know the position vector r, we can choose any arbitrary point on the line of action of force F. Let’s say we choose point A which lies on the line of action of force F and is perpendicular to it.
Therefore, r = OA where OA is the position vector from point O to point A. We can find OA by subtracting position vectors of points O and A i.e., OA = A - O.
Now, let’s calculate M using M = r x F.
M = (OA) x F1
M = (A - O) x {-300i + 170j + 190k}N M
= (-0.19i - 0.34j + 0.15k) N.m
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Complete question is:
Replace the loading system by an equivalent resultant force and couple moment acting at point o. Assume F1 = {-300i + 170j + 190k}N
Part A Determine the resultant force. Enter the 2, y and a components of the resultant force separated by commas.
Part B Determine the couple moment acting at point 0. Enter the x, y and 2 components of the couple moment separated by commas.
An organization wishing to attract more people decides to base its
membership fees on the age of the member. Also, wanting members to
attend more activities, it gives a reduction on the membership fee for each
activity attended in the previous year.
The following table depicts the corresponding fee and reductions. The
minimum membership fee is $1, even if the member attended a lot of
activities.
Age
6 years or less
7-12 years
13-18 years
Over 18 years
Membership
Fee Reduction per Activity
$0.75
$1.25
$2
$5
$10
$15
$25
$2
Write a program that asks the user to input their age and the number of
activities attended and then displays the corresponding membership fee.
Input Validation: Do not accept a negative value for either the age or the
number of activities
C++
1. Begin the program by including the header file <iostream> which includes basic input/output library functions as well as the <vector> library which is needed for this program.
2. Declare a vector of integer type named 'ageGroups' which will store the age groups and the corresponding membership fee and reductions.
3. Create a void function named 'calculateFee()' which will take a parameters age and activities attended.
4. In the calculateFee() function, use the switch statement for the age group and store the corresponding membership fee and reduction value in variables.
5. Use an if statement to check that the number of activities attended is non-negative.
6. Calculate the membership fee using the variables and store it in a variable named 'fee'.
7. Use an if statement to check if the fee is less than 1 and if yes, assign the fee to 1.
8. Print the fee to the user.
9. End the program.
five players are each dealt 2 cards without replacement. (a) what is the expected value of the sum of all 10 cards?
The expected value of a total of all 10 cards is 65.38 when the five players are dealt with 2 cards each without replacement.
The expected value of the sum of all 10 cards dealt without replacement can be calculated by multiplying the expected value of a single card by 10.
The expected value of a single card can be calculated by adding up all possible outcomes (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K) and dividing by the total number of cards in a deck (52).
= 52/13
This gives us an expected value of 6.5381.
Therefore, the expected value of the sum of all 10 cards is 65.38
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Complete question is:
Five players are each dealt 2 cards without replacement.
What is the expected value of the sum of all 10 cards?
Find the missing length indicated
The answer of the given question based on finding the missing length of a triangle the answer is , None of the answer choices match this value exactly, but the closest one is D) 15. Therefore, the answer is D) 15.
What is Triangle?In geometry, triangle is two-dimensional polygon with three straight sides and three angles. It is one of basic shapes in geometry and can be defined as closed figure with three line segments as its sides, where each side is connected to two endpoints called vertices. The sum of interior angles of triangle are 180° degrees.
Triangles are classified based on length of their sides and measure of their angles. A triangle can be equilateral, isosceles, or scalene based on whether all sides are equal, two sides are equal, or all sides are different, respectively.
To find the missing length indicated, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs (the sides adjacent to the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).
In this triangle, we can see that the two legs have lengths of 9 and 16, and the hypotenuse has length X. So we can write:
9²+ 16² = X²
Simplifying the left-hand side:
81 + 256 = X²
337 = X²
Taking the square root of both sides (and remembering that X must be positive, since it is a length):
X = sqrt(337)
X ≈ 18.3575
So the missing length indicated is approximately 18.3575. None of the answer choices match this value exactly, but the closest one is D) 15. Therefore, the answer is D) 15.
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Pls help me right now
Find an equation for a sinusoidal function that has period 47, amplitude 1, and contains the point
(-л, 2).
Write your answer in the form f(x) = Asin (Bx + C) + D, where A, B, C, and D are real numbers.
f(x) =
The sine function with the desired features is given as follows:
F(x) = sin(3.5π(x + π/2)) + 1.
How to define the sine function?The standard definition of the sine function is given as follows:
y = Asin(B(x - C)) + D.
For which the parameters are listed as follows:
A: amplitude.B: the period is 2π/B.C: phase shift.D: vertical shift.The function has an amplitude of 1, hence the parameter A is given as follows:
A = 1.
The period is of 4/7, hence the coefficient B is given as follows:
2π/B = 4/7
4B = 14π
B = 3.5π.
The function contains the point (-π, 2), hence the phase shift and the vertical shift are given as follows:
c = π/2, as the function has it's maximum value at x = π, while the standard function has at x = π/2.d = 1, as the function oscillates between 0 and 2.Hence the function is:
F(x) = sin(3.5π(x + π/2)) + 1.
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help ASAP PLSSSS
The table of values represents a linear function.
Enter the rate of change of this function.
The rate of change (or slope) of this linear function is -1/2.
Describe Linear Function?A linear function is a mathematical function that has a constant rate of change, meaning that the output (y-value) changes at a constant rate for every unit increase in the input (x-value). In other words, the graph of a linear function is a straight line.
The general form of a linear function is y = mx + b, where m is the slope of the line (the rate of change) and b is the y-intercept (the point where the line crosses the y-axis). The slope represents how much the y-value changes for every one-unit increase in the x-value.
Linear functions can be used to model many real-world situations, such as distance vs. time or cost vs. quantity. They are also commonly used in economics, physics, and engineering.
The rate of change of a linear function represents the slope of the line. We can calculate the slope using the formula:
slope = (change in y) / (change in x)
Let's use the points (0, -3) and (2, -4) to calculate the slope:
slope = (-4 - (-3)) / (2 - 0)
slope = -1 / 2
Therefore, the rate of change (or slope) of this linear function is -1/2.
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Between which two consecutive integers does [tex]\sqrt138[/tex]lie?
The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.
What is number?Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.
This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.
To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.
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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.
What is number?Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.
To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.
138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.
Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.
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Prove that for every real number if c is the root of a polynomial with rational coefficients then root ofa polynomial with integer coefficients: It may be helpful to suppose that is a solution to the polynomial equation: GnXn An-1xn-1_ +q1* + 4o Where qi € Q
Every real root of a polynomial with rational coefficients is also a root of a polynomial with integer coefficients.
Suppose that c is a root of the polynomial equation:
[tex]q_n[/tex] × [tex]x^n[/tex] + q_{n-1} × [tex]x^{n-1}[/tex] + ... + q1 × x + q0 = 0
where [tex]q_i[/tex] are rational coefficients. Since c is a root of this polynomial equation, we have:
[tex]q_n[/tex] × [tex]c^n[/tex] + [tex]q_{n-1}[/tex] × [tex]c^{n-1}[/tex] + ... + q1 × c + q0 = 0
Multiplying both sides of the equation by the common denominator of the coefficients [tex]q_i[/tex], we can obtain an equation with integer coefficients. Let d be the least common multiple of the denominators of the coefficients [tex]q_i[/tex]. Then we can write:
d × ([tex]q_n[/tex] × [tex]c^n[/tex] + [tex]q_{n-1}[/tex] × [tex]c^{n-1}[/tex] + ... + q1 × c + q0) = 0
Expanding the left-hand side of the equation, we obtain a polynomial with integer coefficients:
d × [tex]q_n[/tex] × [tex]x^n[/tex] + d × [tex]q_{n-1}[/tex] × [tex]x^{n-1}[/tex] + ... + d × q1 × x + d × q0 = 0
Since c is a root of the original polynomial equation, it is also a root of this polynomial with integer coefficients. Therefore, we have shown that if c is a root of a polynomial with rational coefficients, then it is also a root of a polynomial with integer coefficients.
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please help with with this math
The slope of this linear function is equal to: B. -2/9.
The volume of a cylinder with a height of 10 m and a radius of 5 m is equal to 785 m³.
The value of each expression is: C. a) 2, b) 1/2, c) 2/9.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (8 - 10)/(6 - (-3))
Slope (m) = (8 - 10)/(6 + 3)
Slope (m) =
Slope (m) = -2/9.
How to calculate the volume of a cylinder?In Mathematics, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the given parameters, we have:
Volume of cylinder, V = 3.14 × 5² × 10
Volume of cylinder, V = 785 m³
(√2)² = 2
(1/√2)² = 1/2
(√2/3)² = 2/9
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Bhujangrao invested Rs. 2,50,590 in shares of F.V. Rs. 10 when M.V. is Rs. 250. [Nov 2020]
Rate of brokerage is 0.2% and GST is 18%, then find:
a. the number of shares purchased,
b. the amount of brokerage paid, and
c. GST paid for the trading
a. The number of shares purchased can be calculated as:
Number of Shares = (Investment Amount / Face Value)
= 25,059/ 10 = 2,505.9 = 2,506 (to the nearest whole number)
b. The amount of brokerage paid can be calculated as:
Brokerage = (Investment Amount x Brokerage Rate)
= 2,50,590 x 0.002 = Rs. 501.18
c. The GST paid for the trading can be calculated as:
GST = (Brokerage Amount x GST Rate)
= 501.18 x 0.18 = Rs. 90.22
For numbers 3, 4, and 5, find the value of the indicated length(s) in ⨀C. A and B are points of tangency. Simplify all radicals.
I just need help with these three problems!
As a result, AB = 52 and AC = BC = 5 as AC and BC are both the circle's radii since A and B are points of tangency .
what is circle ?A circle is a closed object made up of all points in a plane that are separated from the center by a predetermined distance, known as the radius. The diameter is the distance across the circle that passes through its center, while the circumference is the distance around the circle. The ratio of a circle's circumference to its diameter is always pi (), or roughly 3.14. Pi is also known as the proportionality constant. Circles are significant geometric forms that are used frequently in mathematics, science, and daily life.
given
AC and BC are both the circle's radii since A and B are points of tangency. Hence, AC = BC = 5.
We can apply the Pythagorean theorem to segment AB as follows:
[tex]AB^2 = 52 + 52 \\AB^2 = AC^2 + BC^2[/tex]
AB² = 50
AB = √50 = 5√2
As a result, AB = 52 and AC = BC = 5 as AC and BC are both the circle's radii since A and B are points of tangency .
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Standard Error of the Mean =
Confidence Interval Estimate for the Mean
Margin of Error E= Z
= Z. V
±Z
You want to rent a one-bedroom apartment near BCIT for next term. The mean
monthly rent for a random sample of 36 apartments advertised for rent on Craigslist is $1,235. Assume that the population standard deviation is $150.
(a) Give the point estimate of the true mean monthly rent for one-bedroom
apartments available for rent near BCIT.
Answer=$
(b) At the 95% confidence level, what is the margin of error on your estimate of
the true mean monthly rent for one-bedroom apartments available for rent near
BCIT.
Answer=$
(c) Construct a 95% confidence interval for the true mean monthly rent for one-
bedroom apartments.
Lower value=$
Upper value=$
Choose the correct statement to interpret the confidence interval.
1) I am totally confident that the population mean belongs to this confidence interval.
2) Clam 95% confident that the true population mean belongs to this confidence
interval.
(d) A friend claims the average monthly rent for a one-bedroom apartment available for rent near BCIT is at least $1,300. Based on your confidence interval do you agree?
• Yes
• No
(e) What is the z-score used to construct a 92% confidence interval?
Answer= (Enter a positive value in 2 decimal places)
The answers are a)the sample mean, which is $1,235. b) margin of error = $58.50. c)95% .d)the average monthly rent is at least $1,300.e)The z-score for a 92% confidence interval is 1.75.
How to calculate the sample mean and z-score ?a) The sample mean is the point estimate of the true mean monthly rent for one-bedroom apartments available for rent near BCIT, which is $1,235.
(b) At a 95% confidence level, the margin of error on the true mean monthly rent estimate is calculated as follows:
Margin of error = Z * (standard deviation / square root of sample size), where Z is the desired confidence level's z-score, which is 1.96 for a 95% confidence level.
Thus, the margin of error is equal to 1.96 * (150 / sqrt(36)) = $58.50.
(c) The 95% confidence interval for the true mean monthly rent is calculated as follows:
Lower value = point estimate minus margin of error = $1,235 minus $58.50 equals $1,176.50
Upper estimate + margin of error = $1,235 + $58.50 = $1,293.50.
(d) To see if the confidence interval supports the friend's claim that the average monthly rent for a one-bedroom apartment available for rent near BCIT is at least $1,300, we need to see if the lower limit of the confidence interval is greater than or equal to $1,300.
Given that the confidence interval is $1,176.50 $1,300, we can conclude that the confidence interval does not support the friend's claim that the
average monthly rent is at least $1,300. As a result, the answer is "No."
(e) A standard normal distribution table or calculator can be used to calculate the z-score corresponding to a 92% confidence interval.
A 92% confidence interval has a z-score of 1.75. (to two decimal places).
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Which graph matches the function given:
The graph that matches the piecewise function, f(x) = √(x + 5), if x < -2, f(x) = |x + 1| if -2 ≤ x ≤ 2, and f(x) = (x - 2)² if x > 2 is the graph in the third option.
What is a piecewise function?A piecewise function is a function is a function that consists of two or more subfunctions each of which are applied, based on the specific interval of the input variable.
The intervals of the piecewise function are;
f(x) = √(x + 5) if x < -2
f(x) = |x + 1| -2 ≤ x ≤ 2
f(x) = (x - 2)² if x > 2
The graph of the piecewise function is a three piece graph which consists of the graph of f(x) = √(x + 5), for x values less than -2, f(x) = |x + 1|, for x-values in the interval -2 ≤ x ≤ 2 and the graph of f(x) = (x - 2)²
The <-2, symbol indicates the presence of an open circle in the graph of f(x) = √(x + 5) at x = -2
The interval -2 ≤ x ≤ 2 for the function f(x) = |x + 1| indicates that the graph of f(x) = |x + 1| in the interval -2 ≤ x ≤ 2, consists of closed circles at x = -2 and x = 2.
The interval, x > 2, for the function, f(x) = (x - 2)², indicates that the presence of an open circle in the graph of f(x) = (x - 2)² at x = 2.
The correct option for the graph of the piecewise function is therefore the third option.
Please find the attached the graph of the piecewise function created with MS Excel
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Can you help me, please!?
Answer:
The correct answer is (b+2)
Step-by-step explanation:
(3b-7) + (-2b+9)
3b-7-2b+9
3b-2b+9-7
b+2 Ans
Answer:
b+2 is the answer of this expression.
Step-by-step explanation:
(3b-7) and (-2b+9)
3b+(-2b) + (-7+9)
(3b-2b) + 2
b+2
Find the standard normal area for each of the following(round your answers to 4 decimal places)
The standard normal area is the region under the standard normal distribution curve, which has a mean of 0 and a standard deviation of 1. One is equal to the entire area under the normal distribution curve.
What is the standard normal area?To determine the probability for the above intervals using a typical normal distribution table or a calculator with a normal distribution function:
[tex]P(1.22 < Z < 2.15) = 0.1143[/tex]
[tex]P(2.00 < Z < 3.00) = 0.0228[/tex]
[tex]P(-2.00 < Z < 2.00) = P(Z < 2.00) - P(Z < -2.00) = 0.9772 - 0.0228 = 0.9544[/tex]
The number of standard deviations the variable is from the mean is shown by the ensuing Z-score. The chance of detecting a certain value of the variable in a given interval can then be determined using the standard normal area.
Therefore, The symmetry of the normal distribution allows us to use the third interval's coverage of 4 standard deviations to simplify the calculation, as illustrated above.
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Help would be greatly appreciated.
The description of the ensembles would be: 1. Students who attend both recitals, 2. Students who attend one of the two recitals, 3. students who attend both recitals, 4.The difference between the set P and U, that is, 3 students.
How to graph the information?To graph the information in a Venn diagram we must take into account the information in the statement. In this case we must place 6 students outside the circles because there are 6 who do not attend any activity.
So, there would be 34 remaining students, of which 20 go to the piano recital and 23 to the voice recital. So, we can establish that 20 go to both recitals, 3 go to the voice recital, and 1 go to the piano recital.
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Find the exact value of the expression: tan270 degrees
Answer:
What is the Value of Tan 270 Degrees? The value of tan 270 degrees is undefined. Tan 270 degrees can also be expressed using the equivalent of the given angle (270 degrees) in radians (4.71238 . . .) ⇒ 270 degrees = 270° × (π/180°) rad = 3π/2 or 4.7123 . . .
please marke a a brainalist pls
Two trains A and B left the same station at the same time. The speed of
train A is 105 kmph, while train B's is 87 kmph. If they travel in the same
direction, how far apart will they be in three hours?
Answer:
Step-by-step explanation:
Since they are traveling in the same direction, the distance between them increases at a rate of the difference of their speeds.
The relative speed of train A with respect to train B is:
105 kmph - 87 kmph = 18 kmph
In three hours, the distance between them will be:
Distance = Speed x Time
Distance = 18 kmph x 3 hours
Distance = 54 km
Therefore, the two trains will be 54 kilometers apart after three hours.
explain integral calculus
Answer:
Integral
Step-by-step explanation:
explain integral calculus
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 !!!!
The width of the top of the bookcase should be approximately 12.2 inches to give Bria's soap carving collection an area of 300 square inches.
How do you compute the area of a square inch?Simply multiply the length and width measurements to get the area of your square or rectangular area in square inches.
Assume the bookcase's top is rectangular, with length "L" and width "b". Because the area of a rectangle is the product of its length and width, we get:
L * b = 300
To find "b," we can rearrange the equation as follows:
b = 300 / L
We don't have enough information to directly solve for "L," but we can make an educated guess based on the figure provided. Based on the illustration, the bookcase appears to be roughly twice as long as it is wide. So let us suppose:
L ≈ 2b
When we plug this into the equation above, we get:
b = 300 / (2b) (2b)
To simplify, we have:
b^2 = 150
When we take the square root of both sides, we get:
b ≈ 12.2
We have, rounded to the nearest tenth of an inch:
b ≈ 12.2 inches
As a result, the width of the top of the bookcase should be approximately 12.2 inches in order to give Bria's soap carving collection a 300-square-inch area.
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First-year students at a university must take history or philosophy during their first semester. 400 are enrolled in both out of a total of 1200 first-year students. If 600 are enrolled in philosophy, how many are taking history?
Answer: I really don't know I'm just trying to get a quest done sorry
Best describes , whats the best possible answer
Answer:
D?
Step-by-step explanation:
I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees
When measured on the other line it is (y+70+x=180) I'm not too familiar with this??
which best describes the resulting three-dimensional figure?
The resulting three-dimensional figure is a cone with base radius of 17 inches.
What is a cone?A cone is a three-dimensional geometric shape that has a circular base and a curved surface that tapers to a point, called the apex. The base of the cone is a circle, and the height of the cone is the perpendicular distance from the apex to the center of the base. The surface of the cone is made up of all the points that are equidistant from the apex and lie on the base.
According to the given information :Consider an isosceles triangle with 82 inches of circumference and a leg length of 24 inches.
This means that 82 - 2(24) = 82 - 48 = 34 inches is the length of the other side.
The triangle is rotated along a line that passes through points B and D, with point D serving as the intersection of lines AC.
When this happens, a cone will be created in three dimensions with a base radius equal to the length of line AD (i.e. half of the length of line AC being the other side of the isosceles triangle).
The resulting cone's base radius is 1/2 (34) = 17 inches.
Hence, the resulting three-dimensional figure is a cone with base radius of 17 inches.
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The result of adding 15 to x and dividing the answer by 4 is the same as taking x from 80. a Express this statement as an algebraic equation. b Hence find the value of x.
Answer:
(15+x)÷4 = 80-x
by criss cross we'll get:
15+x = 4(80-x)
15+x = 320-4x
x+4x=320-15
5x = 305
x = 61
I’m not sure what the limit would be if it’s discontinued but defined
The graph's function limit at x=4 is 6.
Define limitIn mathematics, the limit of a function is the value that the function approaches as the input approaches a certain value or as the input approaches infinity or negative infinity. A function may or may not have a limit at a given point or as the input goes to infinity or negative infinity.
The formal definition of the limit of a function f(x) as x approaches a value a is as follows:
For every positive number ε (epsilon), there exists a corresponding positive number δ (delta) such that if 0 < |x-a| < δ, then |f(x)-L| < ε.
Limit f(x) at x tend to 4⁺ =6.
Limit f(x) at x tend to 4⁻ =6
Hence, the graph's function limit at x=4 is 6.
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Estimate the product. Then find each product 3/4 8 1/2
PLEASE HELP
The product of the number 3/4 and 8 1/2 is 51/8.
What is mixed fraction and improper fraction?A mixed number is one that has a fraction and a whole number, separated by a space. An example of a mixed number is 8 1/2. Contrarily, an improper fraction is one in which the numerator exceeds or is equal to the denominator. For instance, 17/2 is a bad fraction. An improper fraction is a fraction in which the numerator is more than or equal to the denominator, as opposed to a mixed number, which combines a whole number with a proper fraction.
The given numbers are 3/4 and 8 1/2.
Convert the mixed number to an improper fraction:
8 1/2 = (8 x 2 + 1) / 2 = 17/2
Then, we can multiply the fractions:
3/4 x 17/2 = (3 x 17) / (4 x 2) = 51/8
Hence, the product of 3/4 and 8 1/2 is 51/8.
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I give brainliest for the answer
The intersection of two parallel lines; x = 10 metres.
Describe another angle using an example.Alternate angles are created when two parallel lines are intersected by a transversal. Have a look at the given illustration; the two parallel lines are EF and GH. When a transversal splits two parallel lines, the alternate angles are equal.
The alternate interior angles are equal because of the parallel lines characteristic.
Angle STQ (denoted as 2x+10) and angle RQS are hence equal. Angle QRP (shown as x+20) and angle RQS are likewise equal.
Setting these two angles equal to each other, we can get:
x+20 = 2x+10
Simplifying this equation, we get:
x = 10.
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