What is the slope of the line that passes through (5, 4) and (7, 10) ?
A 3
B -3
C 2
D
-2

The value of k in the equation f(x) + k is 8

To find the value of k in the equation f(x) + k, we can use the information given about the y-intercepts of the linear functions.

The y-intercept of a linear function is the value of y when x is equal to 0. In this case, the original function f(x) has a y-intercept of -2, which means that when x is 0, the value of y is -2.

Therefore, we can write the equation for the original function as f(x) = mx - 2, where m represents the slope of the function.

Now, let's consider the function f(x) + k. This function is obtained by adding k to the original function, which means that for any value of x, the y-value of the new function will be k units higher than the y-value of the original function.

Given that f(x) + k has a y-intercept of 6, we can substitute x = 0 and y = 6 into the equation f(x) + k to solve for k:

f(0) + k = 6

Since f(0) is the y-intercept of the original function and is equal to -2, we can rewrite the equation as:

-2 + k = 6

By adding 2 to both sides of the equation, we find:

k = 6 + 2 = 8

Therefore, the value of k is 8.

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The value of x in the ratio 5x : 9 = 7 : 3 is x = 21/5

From the question, the ratio is given as

5x : 9 = 7 : 3

Express the ratio, as a fraction

So, we have the following representation

5x / 9 = 7 / 3

Cross multiply the following expression

So, we have the following representation

3 * 5x = 9 * 7

Evaluate the products

15x = 63

Divide both sides by 15

So, we have

x = 63/15

Simplify the fraction

x = 21/5

Hence, the solution to the ratio is x = 21/5

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The conclusion from the test of significance is that we h0 is rejected

From the question, we have the following parameters that can be used in our computation:

p value, p = 0.008

Using the significance level of 0.05, we have

α = 0.05

By comparing the p value and the significance level, we have

α > p value

This means that we reject the null hypothesis

Hence, the conclusion is that we h0 is rejected

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Answer:

I don't know if its right.

Ans:1.215

Answer:

Second choice

Step-by-step explanation:

f(x) = (1/4)(x + 4)^2 - 9

f(x) = (1/4)(x^2 + 8x + 16) - 9

f(x) = (1/4)x^2 + 2x + 4 - 9

f(x) = (1/4)x^2 + 2x - 5

(1/4)x^2 + 2x - 5 =

= (1/2 x + 5)(1/2 x - 1)

Answer: Second choice

The alpha level for each hypothesis test made on the same set of data is called B. experimentwise alpha

When numerous suppositions are examined concurrently, the likelihood of committing at least one type I mistake grows.

In order to manage the probability of erroneously rejecting the null hypothesis in all tests, scientists usually modify the alpha level for each test, with the purpose of maintaining an experimentwise alpha that reflects the probability of making a type I error in the entire set of tests.

The Bonferroni procedure is a technique utilized to regulate the experimentwise error rate by adjusting the alpha level for each hypothesis test.

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Answer:

Paula will use 45 oz of sauce and 30 oz of cheese to make 5 pizzas

How to find quantity of ingredients for 5 pizzas?

To find this, you can use the proportion of ingredients used for 2 pizzas and scale it up to 5 pizzas.

For 2 pizzas, Paula uses 18 oz of sauce and 12 oz of cheese.

The proportion of sauce to cheese used is 18/12

To make 5 pizzas, you can use this proportion to find how much sauce and cheese is needed:

2 pizzas =  18 sauce

5 pizzas = 5 / 2 x 18 = 45 sauces.

For cheese required, Paula will use:

2 pizzas =  12 cheese

5 pizzas = 5 / 2 x 12 = 30 cheese.

So the total is 45 oz of sauce and 30 oz of cheese.

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Step-by-step explanation:

Answer:

Paula will use 45 oz of sauce and 30 oz of cheese to make 5 pizzas

Step-by-step explanation:

The equation for the line of best fit is y = -5000/3x + 15000

From the question, we have the following parameters that can be used in our computation:

The scatter plot

When the line of best fit is drawn, we have the following points

(3, 10000) and (0, 15000)

The linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 15000

Using the other point, we have

10000 = 3m + 15000

So, we have

3m = -5000

Divide by 3

m = -5000/3

Hence, the equation is y = -5000/3x + 15000

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Answers:

5.) Yes it is, you add each one to itself to get the next number

6.) Yes, you subtract 5 from each number

7.) yes, you add 1.50 to each number

8.) Yes, you add 50 to each number

9.) No, they do not follow a pattern

10) Yes, you divide by 5 every time.

Answer:

y= -3x + 7:)

Step-by-step explanation:

Hope this helps!

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (4, - 5) into the partial equation

- 5 = - 12 + c ⇒ c = - 5 + 12 = 7

y = - 3x + 7 ← equation of line

Answer:

i dont

Step-by-step explanation:

thanks for points thoo

(a) Volume of any Pyramid =   \(\frac{1}{3} * (Base-Area)*height = \frac{1}{3} *220.22*9 = 660.66\) cubic units

(b) Sarah doesn't have to go through all the hard work as the smaller pyramid has a ratio of 2:3 to the bigger pyramid, so we get the equation, to help us solve it.

\(660.66 = \frac{2}{3} *(Area-of-larger-pyramid)\)

Hope that helps!

Step-by-step explanation:

(a) To calculate the volume of a pyramid, you can use the formula: V = (1/3) * B * h, where V is the volume, B is the area of the base, and h is the height of the pyramid.

In this case, Sarah has the area of the base (B) as 220.22 square units and the height (h) as 9 units. Let's substitute these values into the formula:

V = (1/3) * 220.22 * 9

V ≈ 660.66 square units

Therefore, the volume of the smaller pyramid is approximately 660.66 cubic units.

(b) No, Sarah doesn't need to go through the hard work again to find the volume of the larger pyramid. Since the two pyramids are similar, the ratio of their volumes will be equal to the cube of the ratio of their corresponding sides.

The scale factor of the smaller pyramid compared to the larger pyramid is 2:3. Since the scale factor is determined by the corresponding sides, it applies to both the base length and the height of the pyramid. Therefore, the volume of the smaller pyramid compared to the larger pyramid is (2/3)^3 = 8/27.

In other words, the volume of the smaller pyramid is 8/27 times the volume of the larger pyramid. So if Sarah already knows the volume of the smaller pyramid, she can simply multiply it by 27/8 to find the volume of the larger pyramid.

(c) To calculate the volume of the larger pyramid, we can use the ratio mentioned above:

Volume of the larger pyramid = (Volume of the smaller pyramid) * (27/8)

Volume of the larger pyramid ≈ 660.66 * (27/8)

Volume of the larger pyramid ≈ 2239.99 square units

Therefore, the volume of the larger pyramid for Sarah is approximately 2239.99 cubic units.

Please mark as y

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The given equation is :

1. The relationship such that dependent variable (y) is isolated is :

2. The table accompanying this equation :

3. graph of the given equation is in attachment ~

Answer:

The answer is $15.00 :)

Step-by-step explanation:

I took the test and that was the correct answer I got for this problem

The constraint optimization problem can be solved by determining the expressions for x' and y' and confirming the second-order condition using the bordered Hessian Matrix. The value function and the Envelope Theorem can be used to analyze the effects of changes in income and prices on the optimal value of u(x, y).

To find the expressions for x' and y', we set up the Lagrangian function:

\(L(x, y, \lambda) = 2x^2 + y - \lambda (p_x * x + p_y * y - M)\)

Taking partial derivatives with respect to x, y, and λ, we get:

\(\partial L/\partial x = 4x - \lambda p_x = 0\\\partial L/\partial y = 1 - \lambda p_y = 0\\p_x * x + p_y * y = M\)

Solving these equations simultaneously, we find the optimal values of x and y. Differentiating the first-order conditions, we obtain the second derivative expressions, denoted as 2". The bordered Hessian matrix can be used to confirm the second-order condition for part (a).

To derive the value function, we substitute the optimal values of x and y into the utility function: u(x, y) = 2(x')² + y'.

Suppose the income increases by one unit. We can determine the effect on the optimal value of u(x, y) by using the value function and considering the change in the optimal values of x and y.

Applying the Envelope Theorem, we can evaluate the change in the optimal value of u(x, y) by taking the derivative of the value function with respect to income, while keeping the prices constant.

Similarly, if the price of y increases by one unit, we can analyze the impact on the optimal value of u(x, y) using the Envelope Theorem and considering the change in the optimal values of x and y, with the price of y denoted as p.

These steps will help us understand the changes in the optimal values of u(x, y) under different scenarios based on the given utility function, prices, and income.

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Answer:  42

Step-by-step explanation:

  6x7=42 ft

Answer:

$3.23 per pound.

Step-by-step explanation:

First, you need to find what 12.5% of $3.69 is.

To do so, you multiply 3.69 by 0.125 which equals to 0.46125.

Then you subtract 0.46125 from 3.69 which gives you 3.22875.

Then I just rounded the answer to $3.23 per pound.

A) The explicit rule for the value of the collection n years after it was worth $300,000 is  = $300,000 * (1.15)^n

B) Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.

A) We know that the value of the art collection three years ago is $300,000, and the value of the collection two years ago is $345,000. Using these values, we can find the common ratio (r) of the geometric sequence:

r = (value two years ago) / (value three years ago)

r = 345,000 / 300,000

r = 1.15

Now that we have the common ratio, we can write the explicit rule for the value of the collection n years after it was worth $300,000:

value after n years = $300,000 * (1.15)^n

B) Using the explicit rule we found in part A, we can determine the value of the collection 7 years after it was worth $300,000:

value after 7 years = $300,000 * (1.15)^7

value after 7 years ≈ $698,285

Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.

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FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.

Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.

Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.

In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.

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Answer:

Teo is 7 and Richard is 18

Step-by-step explanation:

7 + x = 25

x = 18

Please mark me brainliest!!

Richard is 19 years old and Teo is 6 years old.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let Richard's and Teo's age be R and T years old respectively.

R +T= 25 -----(1)

R= 2T +7 -----(2)

Substitute (2) into (1):

(2T +7) +T= 25

3T +7= 25

3T= 25 -7

3T= 18

T=18 ÷3

T= 6

Substitute T= 6 into (2):

R= 2(6) +7

R= 12 +7

R= 19

Thus, Richard is 19 years old and Teo is 6 years old.

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Answer:

RQ

Step-by-step explanation:

Since there are congruent, they are mirrored.

Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

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Answer:

Inverse relationship

Step-by-step explanation:

The equation we are looking at is;

y = 87.2/x

which implies xy = 87.2

If it was a direct relationship

y = constant * x

if it was inverse, it would have been

y * x = constant

since 87.2 is a constant, the question looks exactly like the second scenario.

This means that what we have is an inverse relationship

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Rearrange making y the subject

9x + 3y = 12 ( subtract 9x from both sides )

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4 , that is

f(x) = - 3x + 4

Answer:

34 packages

25 packages

Step-by-step explanation:

He needs a pair of buns for each hamburger.

He needs 200 hamburger. That means that he needs 400 buns for his picnic.

If buns come in a package of 12, the number of packages he needs is:

400 / 12 = 33.33 packages

Because packages come in whole numbers, we have to round up.

That means he needs 34 packages.

If buns come in a package of 16, the number of packages he needs is:

400 / 16 = 25 packages

Answer:

$9

Step-by-step explanation:

Answer:

15/3 x 2

Step-by-step explanation:

I hope this helps

Answer:

Length=8

Step-by-step explanation:

128= Length×Width

W=2L

so we can rewrite the first equation as:

128=L×2L

128=2L²

64=L²

8=L

and W=2L so:

W=2(8)

W=16