What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.

Answer:

f(3) = 4

Step-by-step explanation:

The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.

Thus, based on the function:

f(x)=|x−5|+2

f(3) = |3−5|+2

f(3) = |-2|+2

-Absolute value of -2 = 2-

f(3) = 2+2

Answer:

Part A. 20.7

Part B. 6.9, 6.9, 6.9

Part C. Slower. 33/5.5= 6. 6 minutes is greater than 5 minutes so Simon  ran slower than 1 mile  every 5 minutes.

Step-by-step explanation:

Answer:I think it’s option 2, light blue

Step-by-step explanation:

Answer:

He loves you too!!

Step-by-step explanation:

The question is vague, but I'll try and help.

Answer:

She saves $100.59 a year.

Step-by-step explanation:

Saving 7% of $1,437.00 each year.

7% of $1,437.00 (0.07 x $1,437.00) = $100.59

If it asks how much she saves over a certain number of years, just multiply 100.59 times how many years it asks for. Hope this helps.

The required, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they invested.

Here,
If Maria spends $1,437.00 on her auto insurance annually and she takes the defensive driving course, she will get a 7% discount on her liability insurance, PIP, comprehensive insurance, and collision insurance for three years.

To calculate the amount of the discount, we first need to find 7% of $1,437.00:

Discount = 0.07 × $1,437.00 = $100.59

So, the amount of the discount that Maria will receive annually is $100.59.

To find the total savings over three years, we multiply the annual discount by three:

Total savings = $100.59 × 3 = $301.77

Therefore, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

Learn more about investments here:

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Answer:

6

Step-by-step explanation:

6 inches of snow is an amount above ground, so it is represented by a positive integer.

Answer: 6

Answer:

Firstly, it was 4 inches

After snowing it becomes (4+6)= 10 inches;

From ground it is 10 inches of snow

So, 10 inches is the right answer.

Answer:

17

8/17

Step-by-step explanation:

x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]

sin∠D = [tex]\frac{8}{17}[/tex]

Answer:

x / 9 = 12 / 15

Step-by-step explanation:

Correct proportion by given same angle;

x / 9 = 12 / 15

x = (12)(9) / 15

x = 108 / 15

x = 7.2 unit

the “/“ sign means division, what kind of question even is this.

9/5= 9÷5

19/28=19÷28

So for the last one, we can turn it into an improper fraction which is:

8/5 = 8÷5

P .= 2L + 2W at W= 10, P= 44

44 = 2L + 2 (10)

44 = 2L + 20

44-20 = 2L

24 = 2L

L= 24/2

L= 12cm

Answer:

The answer would be B :)

Step-by-step explanation:

Answer:

there are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.

Step-by-step explanation:

Answer:

I believe its 52.94% (53 rounded)

Step-by-step explanation: First add all the numbers to see the total amount of marbles (34) Second is add the marbles that are NOT red or yellow (18).Then the final step is divide 18/34

Hope this helps and have a great day

Answer:

$5.34

Step-by-step explanation:

Step-by-step explanation:

$5.34

hope it helps!

......

Answer:

1. >

2. <

3. =

4. >

5. >

6. =

7. <

8. <

9. =

10. <

11. >

12. >

13. <

14. =

15. >

16. <

17. >

18. <

19. yes

20. yes

21. yes

22. 2/3, 0.65, 63%

23. 98.5%, 0.98, 7/8

24. 0.2, 1/12, 2%

25. The Pitchers for the visiting team

26. School Bus, Family Vehicle, Bike

Hope this helps :)

Answer:

a = 2, b = -1

Step-by-step explanation:

type the formula into desmos and adjust the sliders until you have a symmetrical pattern

This question is awfully vague without any images of the equation to back it up, sorry

Answer:

Psychology textbooks = 98 and physics textbooks = 294

Step-by-step explanation:

Let there are x psychology textbooks sold.

No of physics textbooks sold = 3x

ATQ,

A textbook store sold a combined total of 392 physics and psychology textbooks in a week.

x + 3x = 392

4x = 392

x = 98

It means there are 98 psychology textbooks sold and 3x = 3(98) = 294 physics textbooks sold.

Answer:

19

Step-by-step explanation:

Answer:

k = 5x - 42

Step-by-step explanation:

Option B - The worker earns $8 per hour is the correct alternative.

We have a graph that shows the relationship between the number of dollars a worker earns and the number of hours worked.

We have to select the statement which best describes the rate of change for this situation.

The slope of a line can be calculated using -

[tex]$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

According to the question, we have two coordinate points marked on the graph -

P(20, 60)

Q(40, 320)

Using the formula to calculate the slope of a line, we get -

[tex]$m = \frac{320-160 }{40 -20 }[/tex]

m = 8

We know that the slope of the line represents the rate of change of y with respect to x. Therefore, the worker earns $8 per hour.

Hence, Option B is correct.

To solve more questions on Rate of change, visit the link below-

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Answer:

x=-6

Step-by-step explanation:

x+6=-x-6

(-6)+6=(6)-6

0=0

Answer:

Solve the equation. You may find using algebra tiles helpful in solving this problem.  X +6=-X-6               X= -6

Answer:

Esther has 200, Richard has 40

Esther gives Richard 50 cards. Now they have

Esther: 150, Richard: 90

Richard gives Esther 15, so they now have

Esther: 165, Richard 75

Step-by-step explanation:

Answer:

Esther had 200 cards at first

Step-by-step explanation:

Variables:

  Esther:  5r

  Richard:  r

Equalities:

  e = 5r

  e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90

Solve:

  Replace e with 5r and solve for r:

        e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90

     5r - 5r/4 + 1/6 (r + 5r/4) = 5/6 (r + 5r/4) + 90

        5r - 5r/4 + 1/6 (2.25r) = 5/6 (2.25r) + 90

            5r - 1.25r + 0.375r = 1.875r + 90

            5r - 1.25r + 0.375r - 1.875r = 90

                                             2.25r = 90

                                                     r = 40

  Esther:  5r = 5(40) = 200

  Richard:  r = 40

Answer:

Angle 1 is obtuse, and adjacent. Angle 2 is obtuse, and is also adjacent.

Step-by-step explanation:

Both seem to be obtuse since they're not right triangles, and they're both adjacent because they have two angles that share the same vertex. Hope this helped :)

Answer:

1/4+2/3=11/12

3/4+2/3=17/12

Step-by-step explanation:

Answer:

Intersect means two lines met together and formed a point.

Step-by-step explanation:

None

Answer:

[tex]\boxed {\boxed {\sf b=8}}[/tex]

Step-by-step explanation:

The Pythagorean Theorem is:

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

In this triangle, 6 and b are the legs, because they form the right angle.

10 is the hypotenuse, because it is opposite the right angle. Plus, it's the longest side.

[tex]a=6 \\b=b\\c=10[/tex]

Substitute the values into the Theorem.

[tex]6^2+b^2=10^2[/tex]

Evaluate the exponents.

[tex]36+b^2=10^2[/tex]

[tex]36+b^2=100[/tex]

Subtract 36 from both sides of the equation to isolate the variable (b).

[tex]36-36+b^2=100-36[/tex]

[tex]b^2=100-36[/tex]

[tex]b^2=64[/tex]

b is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{b^2}=\sqrt{64[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=8[/tex]

In this triangle, b (the other leg) is equal to 8