Match the slopes with the correct relationships.

N 7

Part A

In a direct variation

k=y/x

take one point from the graph

(2,4)

k=4/2

Part B

In a direct variation, the equation is

y=kx

we have

k=2

therefore

Answer:

1

Step-by-step explanation:

so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.

Please check the attached image for answer.

By Benjemin

Answer:

what

Step-by-step explanation:

The expression, representing the total amount he paid, is $1.3x

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Nolan in a restaurant, had a bill of x dollars with a tax of 6%, and we want to leave a tip of 24%, We need to write an expression that represents the total amount he paid,

The bill = X

Tax = 6%

Tip = 24%

In total, he should have to pay = x+(6% of x)+(24% of x)

= x+0.06x+0.24x

= 1.3x

Hence, the expression representing the total amount he paid, is $1.3x

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Answer:

14 dollars

Step-by-step explanation:

They vary in direct proportion

Thus; If 15 copies = 6dollars

35 copies = (35 × 6) ÷ 15

= 210 ÷ 15

= 14

It would cost 18$

Every fifteen copies you have to pay 6$, and since 35 is 3 times 15, it would also be 3 times the price, or 6 * 3$ which equals 18$

The difference quotient of \(f(x) = x^2 - 6x + 5\) is is 2x - 6 + h.

To find the difference quotient for the function \(f(x) = x^2 - 6x + 5\), we need to evaluate

(f(x + h) - f(x)) / h, where h is not equal to 0.

First, let's find f(x + h):

\(f(x + h) = (x + h)^2 - 6(x + h) + 5\)

\(= x^2 + 2hx + h^2 - 6x - 6h + 5\)

\(= x^2 - 6x + 5 + 2hx - 6h + h^2\)

Now, we can substitute the values of f(x + h) and f(x) into the difference quotient:

\((f(x + h) - f(x)) / h = ((x^2 - 6x + 5 + 2hx - 6h + h^2) - (x^2 - 6x + 5)) / h\)

= (2hx - 6h + h^2) / h

= 2x - 6 + h

Therefore, the difference quotient of \(f(x) = x^2 - 6x + 5\) is 2x - 6 + h.

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The system of inequalities that has a solution that is a line is a. x + y ≥ 3

x + y ≤ 3

A system of inequalities has a solution that is a line when the inequalities are equal to each other. In the given options, the first system of inequalities has the same expression on both sides, but with different inequality signs:

x + y ≥ 3

x + y ≤ 3

These inequalities will be equal when x + y = 3. So, the solution for this system of inequalities is a line.

In conclusion, the solution set of the system of inequalities in option A is a line.

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We will simply subtract 3 3/8 from 6 1/2

That is;

6 1/2 - 3 3/8

= 3 4-3/8

=3 1/8

The amount of berry left is more than 3 cups, hence Ryan have enough very stuff to also make a pie

Answer:

Step-by-step explanation:

Answer: x=9/8

Let's solve your equation step-by-step.

x(8)=9

Step 1: Simplify both sides of the equation.

8x=9

Step 2: Divide both sides by 8.

8x/8=9/8

x=9/8

The answer is C) Step 3

Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.

The right steps are:

-4/5 / 8/-3

Flip the second part to multiply:

-4/5 * -3/8

Multiply:

12/40

Simplify:

3/10

I hope this helps!

2(10v - 5) + 5v + 5v =

= 20v - 10 + 5v + 5v =

= 20v + 5v + 5v - 10 = 30v - 10 ← the end

So, the gradient vector field of f is (∇f) = (cos(5y/z), -5x sin(5y/z)/z, 5xy sin(5y/z)/z^2).

To find the gradient vector field of the function f(x, y, z) = x cos(5y/z), we need to calculate the partial derivatives with respect to each variable and combine them into a vector.

The gradient vector is defined as:

∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Taking the partial derivatives of f(x, y, z) with respect to each variable:

∂f/∂x = cos(5y/z)

∂f/∂y = -5x sin(5y/z)/z

∂f/∂z = 5xy sin(5y/z)/z^2

Putting these partial derivatives together, we have:

∇f = (cos(5y/z), -5x sin(5y/z)/z, 5xy sin(5y/z)/z^2)

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Answer:

18.3

Step-by-step explanation:

a^2 + b^2 = c^2

We can call the unknown side x. The hypotenuse (25) is c.

Knowing this, you know that x^2 + 17^2 = 25^2.

Now simpify!

x^2 + 289 = 625

Subtract 289 from both sides:

x^2 = 338

Now take the square root of 338 which is 18.3 rounded to the nearest tenth.

Hope this helped! :)

Answer:

That´s easy and plus if it´s not to you, you can look that stuff up

Step-by-step explanation:

Answer:

12 cm^3

Step-by-step explanation:

Before we do anything, we should set up the proportion.

\(\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}\)

Now do the Cancelations of \pi r^2 on the left.

h// (4/3) r  = 18/x

but h = 2*r

2r // (4/3) * r   = 18/x   Cancel the rs on the left

2// (4/3) = 18/x            Make 2 = 2/1 so you can handle the fraction

2/1 // (4/3) = 18/x         Invert and multiply the denominator

2/1 * 3/4 = 18/x

6/4 = 18x                     You can reduce the left side

3/2 = 18x                     Cross multiply

3x = 2*18                     Combine the right

3x = 36                        Divide by 3

x = 12

So what you have found is the volume of the sphere. 12 cm^3

This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).

I'm a little long winded here, but the first time you see this, you should be given very small steps.

Answer:

1.15

2.1

3.3

45

5.3

6.8

7.4

8.5

9. 24

Step-by-step explanation:

Answer:

1. 15

2. 1

3. 3

4.  2.5

5. 3

6. 8

7. 4

8. 5

9. 24

10. 6

11. 3

12. 52

13. 44

14. 38

15. 24

16. 12

17. 2

18. 12

Step-by-step explanation:

The milk will be served in cups to make it easier for them to consume, we are switching from the larger unit (i.e. quarts) to the smaller unit (i.e. cups).

4 cups or 2 pints are equivalent to one quart (qt). We can switch to utilizing gallons if we still need extra liquid. 16 cups, 8 pints, or 4 quarts make up a gallon (gal). It is a measurement of the largest liquid.

Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup. In a quart, there are 4 cups. In 2 quarts, there are 8 cups. In 4 quarts, there are 16 cups.

Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup.

1 quart = 4 cups

2 quarts = 2 × 4 quarts = 8 cups

3 servings/cup × 8 cups = 24 servings

The complete question is:

A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 fluid ounces

Before you try that problem, answer the question below.

How many cups will you need to find the number of servings for?

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its true

they are both already right triangles so if both have acute angles that are congruent then the right triangles are similar

if one of the acute angles of a right triangle is congruent to an acute angle of another right triangle then by angle angle Similarity the triangles are similar

The probability of 2 red and 3 green apples being chosen out of the bag is 10/20 x 12/19 x 9/18 x 8/17 x 7/16 = 0.0273 or 2.73%.

The probability of 2 red and 3 green apples being chosen out of the bag is calculated by multiplying the probabilities of each individual apple. Firstly, there is a 10/20 probability of choosing a red apple, as there are 10 red apples in the bag. The probability of choosing a green apple is 12/19, as there are 12 green apples in the bag and one has already been taken. Now, there is a 9/18 probability of choosing the second red apple, as one of the red apples has already been selected. The probability of selecting the third green apple is 8/17, as two of the green apples have already been chosen. Finally, the probability of selecting the fourth green apple is 7/16, as three of the green apples have already been chosen. To get the overall probability, these probabilities must be multiplied together. This gives us a final probability of 10/20 x 12/19 x 9/18 x 8/17 x 7/16 = 0.0273 or 2.73%.

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Both statements b) and e) must be true for Evelyn's claim to be true.

For Evelyn's claim that parallelogram ABCD is a square to be true, the following statements must be true:

b) AD = AB: In a square, all sides are equal in length, so AD must be equal to AB.

e) m∠AXB = 90 degrees: In a square, all angles are right angles (90 degrees), and the central angle of a square is equal to 90° so ∠AXB must be equal to 90 degrees.

Therefore, both statements b) and e) must be true for Evelyn's claim to be true.

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Given question is incomplete, the complete question is below

consider parallelogram ABCD with X at the intersection of the diagonal segments AC and BD.

Evelyn claims abcd is a square. select all statements that must be true for Evelyn's claim to be true.

Answer:

(x - 4) is a factor

Step-by-step explanation:

If x - 4 is a factor, then x should be 4.

By substituting:

= 4² - 6(4) + 8

= 16 - 24 + 8

= 0

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The Pennsylvania Vehicle Code mandates that the driver and front-seat passengers in automobiles, light trucks, and motor homes must wear seat belts.

According to the Pennsylvania Vehicle Code, it is a legal requirement for the driver and front-seat passengers of automobiles, light trucks, and motor homes to wear seat belts. This law is in place to promote safety and reduce the risk of injuries or fatalities in the event of a motor vehicle accident.

Seat belts are designed to restrain occupants in their seats, preventing them from being thrown forward or ejected from the vehicle during a collision. By wearing seat belts, drivers and passengers are better protected and have a higher chance of avoiding severe injuries. It is important to note that the seat belt law in Pennsylvania specifically applies to the driver and front-seat passengers.

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The statement "secondary data should be gathered first because this type of information is less expensive to obtain" is actually false because it has already been collected, there are some important factors to consider.

Primary data is data that is collected specifically for the purpose of the research project at hand. This type of data can include surveys, interviews, experiments, and observations. On the other hand, secondary data is data that has already been collected by someone else for a different purpose.

Firstly, it's important to consider the quality of the data. Secondary data may not always be reliable or up-to-date, which could impact the accuracy of your research findings. In some cases, you may need to spend time and resources verifying the accuracy of the secondary data, which could end up being more expensive in the long run.

Additionally, it's important to consider the specific needs of your research project. Depending on your research question, primary data may be necessary to obtain the specific information you need. In other cases, secondary data may be sufficient.

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The x-y equation for the curve is y = (7/8)x + 2.625.

The given parametric equations are:

x = -3 + 8t

y = 7t

To find the corresponding x-y equation for the curve, we can eliminate the parameter t by isolating t in one of the equations and substituting it into the other equation.

From the equation y = 7t, we can isolate t:

t = y/7

Substituting this value of t into the equation for x, we get:

x = -3 + 8(y/7)

Simplifying further:

x = -3 + (8/7)y

x = (8/7)y - 3

Therefore, the corresponding x-y equation for the curve is:

y = (7/8)x + 21/8

In slope-intercept form, the equation is:

y = (7/8)x + 2.625

So, the x-y equation for the curve is y = (7/8)x + 2.625.

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