What is the volume of a rectangular prism with a length of 2x, a width of x−2, and a height of x + 2?

Answers

Answer 1
Answer:2x³ - 8x is the volume of a rectangular prism.Step-by-step explanation:Volume: L x B x H=> (2x) × (x - 2)(x + 2)=> (2x) × (x² - 4)=> 2x(x² - 4)=> 2x³ - 8x units³ [According to DMAS rule]Conclusion:

Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer 2

(2x³ - 8x) is the volume of a rectangular prism.

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, a rectangular prism with a length of 2x, a width of (x−2), and a height of (x + 2)

Volume: L x B x H

= (2x) × (x - 2)(x + 2)

= (2x) × (x² - 4)

= 2x(x² - 4)

= 2x³ - 8x units³

Hence, 2x³ - 8x units³ is the volume of a rectangular prism.

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Answer:

the triangle always equals 180.

so divide it right?

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Answer:

123-23=100

100^2=100*100=10^4=10000

Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers.​

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Answer:

y = - 3x + 7

Step-by-step explanation:

( 2 , 1 )

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m = ( - 8 - 1 ) / ( 5 - 2 ) = - 3

y - 1 = - 3 ( x - 2 )

y = - 3x + 7

Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x−9.

Answers

y = -2x + 24

hope this is helpful!

Answer:

y+2x=24

Step-by-step explanation:

the equation of the line: y=1/2x -9

Get the slope by using derivative:

dy/dx= 1/2

dy/dx= slope of the normal line

Since we are looking for slope of the tangent line:

Use Mn=-1/Mt

The slope of the tangent line is -2

Using point slope form:

(y-y1)=m(x-x1) ; where x1=7, y1=10, and m=-2

y-10=-2(x-7)

y-10=-2x+14

ANSWER: y+2x=24

it takes a swimmer 72.54 seconds to swim the 100 meter length of the pool going west what was his velocity.

(MUST show work and formula)

Answers

Step-by-step explanation:

Solution

(s) = 100m

(t) = 72.54s

(v) = ??

We have,

v = s÷t

v = 100 ÷ 72.54

v = 1.37 m/s

Hence, the velocity of the swimmer is 1.37 m/s

[this is how I personally have to do it but not sure about you]

the functions below show the amount of money bella and sweet t had saved after earning money for doing chores

Answers

Answer:

Hello your answer should be: Bella saved more per chore than Sweet T.

Step-by-step explanation:

Hope this helped! :)

Have a great rest of your day!

Identify the slope represented in the graph below.

Answers

Answer:
The slope is -2
Explanation:
I choose two points on the graph (0,-2) and (-1,0) and put it into the slope form using two coordinate pairs which is y-y/x-x and got -2/1 which simplifies down to -2

For every 20 emails that Greg sent in a month, he received 50 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Greg that month?
A. 5:2
B. 3:5
C. 2:5
D. 5:3

Answers

Answer:

C. 2:5

Step-by-step explanation:

You can divide both side of the ratio 20:50 by 5 which leaves you with 4:10. You can simplify it again by dividing it by 2 and get 2:5

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If f(x) = 2x – 3 and g(x) = 3x2
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Here’s my work to your question.

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Answer:

the third answer, y= (1/3) x

Answer:y=(1/3)x

Step-by-step explanation:

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Answers

Answer:

5/6

Step-by-step explanation:

What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1)
y= 3x + 1
y=x-3
y=2x+5
y= 2x – 5​

Answers

The last one y=2x-5 if you plug the points into the x and y values you can see this equation works for both points.

A local volunteer group has 150 raffle tickets to sell. They sell them in packs of three tickets per customer. Determine which graph and which equation represent the number of tickets, T, the group has left after selling tickets to c customers.

Answers

The equation that represents the number of tickets T, the group has left after selling tickets to c customers is:

T  =   150  -  3c

The graph representing the equation is plotted below

The total number of tickets that the volunteer group has = 150

They sell the tickets in packs of three tickets per customer

The number of customers is c

Number of tickets sold to c customers = 3c

The number of tickets left after selling tickets to c customers is:

T  =   150  -  3c

Learn more here: https://brainly.com/question/25912293

Answer:

I HAVE COME TO SAVE THE DAY!

ok the equation is t= -3c + 150

the graph is the one that is the same as the equation the y intercept is 150 the slope is -3 over 1 (up three over one) on y test the answers were the top right for both boxes but it might be different for you

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Answer:

Step-by-step explanation:

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Answer:

The answer is −42

ANSWER PLZZ NO LINKS PORFA

How many miles longer is Trail A than Trail B?

Answers

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How many terms are in the expression 3xy+2x+1​

Answers

Answer:

4

Step-by-step explanation:

In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X

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Answers

Answer: (-1, 7) should be the answer

Step-by-step explanation:

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Use the information given to answer the question. An office supply store has 1,508cases of paper and
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24
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50 pens.

Part A

How many packs of paper does the office supply store have?
36,192 packs of paper

36 , 192 packs of paper

36,432 packs of paper

36 , 432 packs of paper

37,700 packs of paper

37 , 700 packs of paper

37,750 packs of paper

Answers

36,192 packs of paper. It’s multiplication if you have 1,508 packs of paper and each case contains 24 packs you would multiply to see how many packs of paper you have.

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Answers

Answer:

The answer is 113.

Answer:

141

Step-by-step explanation:

There are 8 nines: 9×8=72

There are 3 sevens: 7×3=21

There are 4 eights: 8×4=32

6×2=12

2×2=4

All together you get

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Answers

Answer:

Your calculation is correct, but I'd answer 33.0 in.

Step-by-step explanation:

You are correct. Good job.

Answer:

I'm 96% sure its right, and those are pretty good odds ^^

Find the surface area of the cuboid.

Answers

Answer:

62 cm²

Step-by-step explanation:

The surface area (SA) is the sum of the areas of the 6 faces.

The opposite faces are congruent, then

SA = area of front/ back + area of top/ bottom + area of 2 sides

     = 2(5 × 3) + 2(5 × 2) + 2(3 × 2)

     = 2(15) + 2(10) + 2(6)

     = 30 + 20 + 12

     = 62 cm²

if x and x/4 are a pair of supplementary angles find angles​

Answers

[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]

5y+12>62 solve for y

Answers

Answer:

y>10

Step-by-step explanation:

5y+12>62

Subtract 12 on both sides

5y > 50

Divide 5 on both sides

y  > 10

Answer:

y>10

Step-by-step explanation:

First, let's subtract 12 from both sides:

5y+12-12>62-12

Then let's simplify:

5y>50

Now let's divide both sides by 5:

5y/5>50/5

And then simplify to get our answer y>10

Hope this helped

how much is 3 liters in 50 bottles

Answers

Answer : 0.06 liters per bottle

Step - by - step explanation :

3 liters divided by 50 bottles = 0.06 liters per bottle

[ Sorry if this wasn't what you meant when you asked the question ]

Happy holidays ! :3

What property was used in step 1 to arrive at step 2?

Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.

Answers

Answer:

Distributive Property

Step-by-step explanation:

5(x - 7) = 55   ⇒   5x - 35 = 55

The 5 was distributed in 5(x-7) to get 5x - 35.

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Please help

Answers

1: 51
2: 34
3: 95
4: 38
5: 47
6: 74
7: 59

Hope this helps!
Brainliest and a like is much appreciated!
Comment if you want a explanation!
1. 51
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59

Solve the inequality.
D
— < -4
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Answers

d>20 should be the answer good luck

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Answers

Answer is 7x-21
....

Answer:

7x-21

---------------------

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b) [tex]b^{b}[/tex]

c) [tex]-b[/tex]

d) [tex]b[/tex]

Answers

[tex]\log_b \left(\dfrac 1{b^{-b}}\right)\\\\=\log_b (b^{-b})^{-1}\\\\=\log_b b^b\\\\=b \log_b b\\\\=b \cdot 1\\\\=b[/tex]

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