Use what you know about transformations to describe the
relationship between figure PQRS and figure P'Q'R'S'.
Use at least three math or academic vocabulary terms from
this unit in your answer. Underline each term you use.

Answer:

d divided by 1/15 is o.75

Step-by-step explanation:

The given question is related to a regression line, where the equation is given as y = 1425 + 19.87x.

Slope of the equation is 19.87 and the intercept of the equation is 1425.

In part (a), step 2, we can explain that the slope in the least square regression equation is the coefficient of x and represents the average increase or decrease in y per unit of x.

Therefore, the slope value here is b = 19.87, which means that the average consumption of natural gas per day by Joan will decrease by 19.87 cubic feet per degree Fahrenheit over a month.

In part (b), step 1, we can explain that the y-intercept is a constant value in the least square regression equation that represents the average value of y when x is 0. Here, the intercept value is m = 1425, which means that when the temperature is 0 degrees Fahrenheit, the average consumption of natural gas per day is 1425 cubic feet.

This value has significance in this scenario because it indicates that a temperature of 0 degrees Fahrenheit is a possible temperature for which the natural gas consumption has been calculated.

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Answer:

true

Step-by-step explanation:

Considering the situation described, the p-value for Amy's result is of 0.0203.

At the null hypotheses, it is tested if the mean is not greater than $50,000, that is:

\(H_0: \mu \leq 50000\)

At the alternative hypotheses, it is tested if the mean is greater, hence:

\(H_1: \mu > \leq 50000\)

We are testing if the mean is greater than a value, hence we have a right-tailed test. Using a right-tailed test with t = 2.06 and 200 - 1 = 199 df, the p-value is of 0.0203.

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The Frequency is the number of scores within each interval, while the cumulative frequency is the sum of all frequencies up to that interval.

To compute for the frequency distribution table for the given test results of 40 students, we need to follow these steps:

Step 1: Arrange the data in ascending order

Step 2: Determine the range (the difference between the highest and lowest scores)

Step 3: Decide on the number of class intervals

Step 4: Determine the class interval width (the range divided by the number of class intervals)

Step 5: List down the class limits for each interval

Step 6: Tally the scores for each interval

Step 7: Determine the frequency (number of scores) for each interval

Step 8: Create a table showing the class limits, tally marks, frequency, and cumulative frequency

the class intervals are 50-54, 55-59, 60-64, and so on.

The class interval width is 5 since the range is 29 and we want to have 6 class intervals.

The class limits are determined by adding 0.5 to the lower class limit and subtracting 0.5 from the upper class limit to avoid overlap.

The tally marks are used to keep track of the number of scores falling within each interval.

The frequency is the number of scores within each interval, while the cumulative frequency is the sum of all frequencies up to that interval.

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Answer:  The standard deviation is 443.6  (rounded up to one decimal place)

Step-by-step explanation:

σ2 = (Σ(xi - μ)^2)/N

= ((3940 - 3682.5)^2 + ... + (4040 - 3682.5)^2)/8

= 1574150/8

= 196768.75

σ = \(\sqrt{196768.75}\)  

= 443.58623738795

Frequency Table

Value Frequency

2990 1 (12.5%)

3200 2 (25%)

3810 1 (12.5%)

3940 1 (12.5%)

4040 1 (12.5%)

4140 2 (25%)

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The gradient vector field of f is a field of vectors that points in the direction of the steepest increase of f at each point in the xy-plane. To find the gradient vector field of f(x, y) = tan(2x − 3y), we need to calculate the partial derivatives of f with respect to x and y.

∂f/∂x = 2sec^2(2x - 3y)
∂f/∂y = -3sec^2(2x - 3y)

The gradient vector field is then given by the vector [2sec^2(2x - 3y), -3sec^2(2x - 3y)]. This field shows the direction and magnitude of the steepest increase of f at each point. The field will be perpendicular to the level curves of f, which are the curves where f is constant. In this case, the level curves are given by the equation tan(2x − 3y) = constant.
To find the gradient vector field of f(x, y) = tan(2x - 3y), we first need to compute the partial derivatives of f with respect to x and y.

1. Calculate the partial derivative with respect to x:
∂f/∂x = (2)(sec^2(2x - 3y))

2. Calculate the partial derivative with respect to y:
∂f/∂y = (-3)(sec^2(2x - 3y))

3. Form the gradient vector field using the partial derivatives:
∇f = (∂f/∂x, ∂f/∂y) = (2sec^2(2x - 3y), -3sec^2(2x - 3y))

The gradient vector field of f(x, y) = tan(2x - 3y) is (∇f) = (2sec^2(2x - 3y), -3sec^2(2x - 3y)).

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Answer:

x = 3 and y = -6

Step-by-step explanation:

Use the elimination method to get rid of one of the variables.

Find the value of one variable.

Find the value of the remaining variables using substitution.

Clearly state the final answer.

Check your answer by substituting both values into either of the original equations.

The sine function with the properties listed in this problem is defined as follows:

y = 3sin(3(x - π/3)).

The standard definition of a sine function is given as follows:

y = Asin(Bx + C) + D.

The parameters are given as follows:

A: amplitude.

B: the period is 2π/B.

C: phase shift.

D: vertical shift.

The function in this problem has an amplitude of 3, hence the coefficient A is given as follows:

A = 3.

Considering the period, the coefficient B is obtained as follows:

2π/B = 2π/3

B = 3.

Considering the shift right, the coefficient C is given as follows:

C = -π/3.

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Answer:

x = 55

Step-by-step explanation:

a triangle's angles must equal when added up to 180.

so

76 + 49 + x = 180

combine terms

125 + x = 180

x = 55

Answer:

$283.2

Step-by-step explanation:

Area of the order = Length * Width

7.02×10^3 = 1.17×10^2 * Width

7020 = 117W

W = 7020/117

W = 60feet

Perimeter of the border = 2(L+W

P = 2(117+60)

P = 2 * 177

P = 354 feet

If a border cost $0.80 per foot, 354 feet long border will cost 0.80 * 354 = $283.2

Answer:

It's actually $283.20. I found out by putting the answer the other person put so I got it wrong the correct answer is $283.20 I hope this helps :)

Step-by-step explanation:

Using long division, 704 ÷ 46 can be written as

For checking, we perform the following.

which agrees with our result above perfectly.

Answer:

i think it is -14.56

Step-by-step explanation:

The term​ annuity is best described as​ a stream of equal installments made at equal time intervals​.

An annuity is a term used to define a series of payments of equal size at equal intervals. Equal time intervals such as months, quarters, or years, and uniform payments are the two characteristics that make a series of payments an annuity. Therefore, a series of payments can be an annuity however all series of payments are not annuities. If the series of payments is of different values or at different intervals, it is not considered to be an annuity. An annuity that provides for payments for the remainder of a person's lifetime is known as a life annuity.

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Answer:

Divide the diameter by 2

Step-by-step explanation:

70 days

that is the procedure above

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

The tangent trigonometry ratio can be used to determine the measure of m∠F using the length shown. Option C is correct

The given figure is a right triangle.

According to the question, we are to determine the trigonometry ratio that can be used to find m∠F.

Given the following sides

Hypotenuse = EF

Opposite to m∠F = DE

Adjacent = DF

Since tan m∠;F = opposite/adjacent = DE/DF

tan m∠F can be used to determine m∠F.

The same goes with tan and sine since we can determine the value of the hypotenuse but only tangent can be used to find the measure given the length shown.

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Answer:

Zara ate 50 almonds last week

Step-by-step explanation:

part to whole ratio is 50 : 100

150 divided by 2 is 75

100 divided by 50 is equal to 2

Zara ate 50 almonds last week

pls mark brainliest if this helped :)

The function that takes three decimal numbers as inputs and finds the sum of those inputs and returns the sum has been given below

What is programming?

Program is the set of instructions given to the computer so that the computer can execute those instructions. The act of writing program is called programming.

The program has been shown below

#include<stdio.h>

using namespace std;

int main()

{

double n1, n2, n3;

double s;

printf("Enter first numbers");

scanf(%lf, &n1);

printf("Enter second numbers");

scanf(%lf, &n2);

printf("Enter third numbers");

scanf(%lf, &n3);

s = n1 + n2 + n3;

printf("Sum = %f", s);

return 0;

}

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The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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The probability of rolling a sum of 10 is \(\frac{1}{18}\)

as we know that total number of outcomes for a dice is equal to six raised to the power times the dice is rolled

that is,  total number of outcomes = \(6^{2} = 36\)

also, the sum can be equal to 10 in only two cases, (6,4) and (5,5)

according to the formula

Probability = \(\frac{favorable events}{ total number of outcome} = \frac{2}{36} = \frac{1}{18}\)

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Question:

You roll a fair six-sided die and record the result X. You roll the die again and record the result Y. What is the probability of rolling a sum of 10?

Answer:

c

Step-by-step explanation: because if you go up 5 then move 4 left you will get to the number coresponding it c

answer THE ANSWER IS C, 0 TO 1750

Step-by-step explanation:

El medio ambiente es un tema crucial para la supervivencia de todas las especies del planeta, incluyendo los seres humanos. La actividad humana ha tenido un impacto significativo en el medio ambiente, lo que ha llevado a la degradación de los ecosistemas, la pérdida de biodiversidad y el cambio climático.

Es importante que tomemos medidas para proteger el medio ambiente. Podemos hacer esto reduciendo nuestra huella de carbono, utilizando fuentes de energía renovable, reduciendo nuestro consumo de recursos naturales y siendo más conscientes de nuestras acciones en relación con el medio ambiente.

Además, la educación es clave para la protección del medio ambiente. Si todos estamos educados sobre los problemas ambientales y las soluciones, podemos trabajar juntos para encontrar formas de proteger y preservar nuestro planeta para las generaciones futuras.

En resumen, el medio ambiente es esencial para nuestra supervivencia y debemos tomar medidas para protegerlo. La educación y la acción son necesarias para abordar los desafíos ambientales que enfrentamos como sociedad.

Answer:

In order of the questions asked, the answers are, C, D, A, C

Step-by-step explanation:

After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.

if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D

the isotope for dating organic remains is A. carbon-14

for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460

so the answer is C

Answer:

75.437

Step-by-step explanation:

To begin with you type in 75 since it to begin with inquires you to do that and since it has the word "and" in it, which means add a decimal point, and after that you type in 4 hundred 37 (437) which would be your reply.

Answer:

a = 2

b = 3

c = 2³ or 8

Step-by-step explanation:

Exponent Rule: \(\frac{b^m}{b^n} =b^{m-n}\)

log₂(4) = 2 or 2² = 4

2⁵/2² = 2³

2³ = 8

Answer:

a=2

b=3

c=8

Step-by-step explanation:

a=2, 2^a must equal 4

b=3, 2^b must equal 8 which is answer to 2⁵/4

c=8, the answer to 2⁵/4, and