The volume of the rectangular prism to the left is represented by the equation V = x ^ 4 + 11x ^ 3 + 34x ^ 2 + 5x - 75 Using what you know about these shapes, whose volumes are calculated using the formula V = lwh find the expression that represents the height (h). Length = x+5, Width = x+3

Answers

Answer 1

Answer:

[tex]h = x^2+3x-5[/tex]

Step-by-step explanation:

Given

[tex]V = x^4 + 11x^3 + 34x^2 + 5x - 75[/tex]

[tex]L = x + 5[/tex]

[tex]W = x + 3[/tex]

Required

Determine the height (h) of the prism

Volume is calculated as:

[tex]V =lwh[/tex]

Substitute values for V, l and w

[tex]x^4 + 11x^3 + 34x^2 + 5x - 75 = (x + 5) * (x + 3) * h[/tex]

Factorize the expression on the left-hand side

[tex](x+3)(x^3+8x^2+10x-25)= (x + 5) * (x + 3) * h[/tex]

Further, factorize:

[tex](x+3)(x+5)(x^2+3x-5)= (x + 5) * (x + 3) * h[/tex]

Divide both sides by (x+3)(x+5)

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= \frac{(x + 5) * (x + 3) * h}{(x+3)(x+5)}[/tex]

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= h[/tex]

[tex](x^2+3x-5)= h[/tex]

[tex]x^2+3x-5= h[/tex]

[tex]h = x^2+3x-5[/tex]

The height of the prism is [tex]x^2+3x-5[/tex]


Related Questions

PLEASE HELP ! (no fake answers please !)

Answers

Answer:

24.2 units²

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] a( b + c)

Substitute the given values for a, b and c , that is

A = [tex]\frac{1}{2}[/tex] × 4.4 × (8 + 3)

   = 2.2 × 11

   = 24.2

Will you help me plz?

Answers

Answer:

1. ⅔x

2. 3/2x

3. 3/2x

4. -7/5x

5. 1x

6. no slope

7. ½

8. -1x

9. 8/3x

10. -1x

11. -½x

12. 9x

13. -1x

14. -¼

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°

Answers

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

X=5 Y=-5 is the answer I think?

ANYONE HELP? ALGEBRA 1 :”””(

Answers

Answer:

Y=-3/2x+2

Step-by-step explanation:

Answer:

y=-1.5x+2

Step-by-step explanation:

Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira's expenses are half of Hideo's. Akira ends up saving 40% of his income. What percentage of his income does Hideo save?

Answers

Answer:

25%

Step-by-step explanation:

Let x represent Akira income and let y represent Hideo income.

Since Akira earns five-eighths of what Hideo earns, therefore Akira income is given by:

x = (5/8)y

Let a represent Akira expenses and let y represent Hideo expenses. Since Akira expenses is half of Hideo, hence:

a = (1/2)b; b = 2a

Given that Akira savings is 40% of his income, we have:

savings = income - expenses

40% of x = x - a

a = x - 0.4x

a = 0.6x

For Hideo:

Income = y, expenses = b = 2a

Savings = income - expenses

Savings = y - 2a

Savings = y - 2(0.6x) = y - 1.2x

Savings = y - 1.2(5/8)y

saving = y - 6y/8

savings = 2y/8 = 0.25y

Therefore Hideo saves 25% of his income

which expressions represent the sum of exactly two terms?

Answers

Answer:

A and D are your answers

Step-by-step explanation:

:) hope this helps

Answer:

A and C are the correct answers

xy and 3+7s+t

Step-by-step explanation:

53.53x 10 power of 2

Answers

The answer to your question is 5,353
it is 5353x hopefully this helped

(-3,10) and (-3,6) find the slope pleassseeee !!!

Answers

Answer:

the slope is undeifined

hope this helps :)

Answer:

undefined

Step-by-step explanation:

the formula for the slope of a line is m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

m = (6-10)/(-3+3) = -4/0 = undefined, you cannot divide by zero.

Jane bought 1.25 pounds of turkey. One pound of turkey costs $5.20. Before tax, how much did Jane pay for the turkey?

Answers

Answer:

5.408

Step-by-step explanation:

1=5.20

0.25=408

Drew is 3 years older than his brother, Jimmy. The sum of the​

brothers’ ages is 21.​

Answers

Answer:

jimmy is 18

Step-by-step explanation:

3+18=21 Hope this helps!

Answer:

Drew is 12 and Jimmy is 9

Step-by-step explanation:

12+9=21

;-;

1/4=something 8 plz help me

Answers

Answer:

1/4 = 0.25

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

i don't know what to put here but 1/4 is = to 2/8

PLEASE HELP ASAP LIKE PLEASE

Answers

Answer:

40

Step-by-step explanation:

60-20=40

Bern has 60. Delhi has 20. Subtracting those =40

(s+4)+(s+4)

can

someone

answer

this-

Answers

Let's simplify step-by-step.

s+4+s+4

Combine Like Terms:

=s+4+s+4

=(s+s)+(4+4)

=2s+8

Answer:

=2s+8

Factor s+4+s+4

2s+8

=2(s+4)

Answer:

2(s+4)

Answer:

2s+8

Step-by-step explanation:

(s+4)+(s+4)=s+s+4+4=2s+8

- 11 2/3 x (-4 1/5)=?

Answers

if you use photomath and show your question its easier but i got 49

Find the value of y = 500 -25x
for x = { -3, 2, 5}

Answers

Answer:

575, 450 and 375

Step-by-step explanation:

Find the value of y = 500 -25x

for x = { -3, 2, 5}

Given the function y = 500-25x

When x = -3.

y = 500-25(-3)

y = 500+75

y = 575

When x = 2

y = 500-25(2)

y = 500-50

y = 450

When x = 5

y = 500-25(5)

y = 500-125

y = 375

Hence the required values are 575, 450 and 375

Question 1
9 m
4 m
X
Solve for X. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

write an equation of the line in slope-intercept form slope 1 and y intercept -8

Answers

I got 41

Step-by-step explanation:

Symbolab is helpful

What is the measure of the angle in degrees? (Write number in answer only)
7080
60
50
| | +90 +
10 20 30 40
180 170 160 150 140 130 120 110
-
60 50 40 30 20 10
120 130 140 150 160 170 180
0

Answers

Answer:

it is 35 degrees

Step-by-step explanation:

I am sure of it

The measure of the angle indicated is 35 degrees

Protractor

Protractor is a mathematical measuring instrument use to measure angles. Therefore, A protractor is in the shape of a semi circle.

A protractor has degrees marked clockwise from 0° to 180° in the outer scale and anti-clockwise from 0° to 180° in the inner scale.

From the blue lines indicated above the angle was marked at 0 degrees and ended in 35 degrees,.

Therefore, the angle measure of the angle is 35°

learn more on protractor here: https://brainly.com/question/2786963

PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!! (Solving Equations with Distributive Property)


1) -1/2(12p-42) = -33

2) -3 + 2/3(6n-42) = -51

Answers

1.

-1/2*12p = -6p

-1/3* -42= 21

-6p+21=-33

-21. -21

-6p=-54

p= 9

(plug 9 in)

2. n= -5

PLZ HELP ME WITH THIS QUESTION!

Answers

Answer:

15

Step-by-step explanation:

Answer:

the answer is 15

Step-by-step explanation:

someone plz help me on this question plz

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

you have to times 22 times 3 to get the sq. units

Select the best possible first step to solving the system by first eliminating the x variable.

3x + 5y = 1
2x + 4y = −4

Answers

2x + 4y = -4

2x = -4 - 4y

x = -2-2y

(3x+5y=1) ----> (1)

3(-2-2y) + 5y = 1

-6 -6y + 5y = 1

-6 -y = 1

-y = 1 + 6

-y = 7

y = -7


2x + 4y = -4

2x + 4(-7) = -4

2x -28 = -4

2x = 24

x = 12

(x,y) = (12,-7)

Maia has a total debt of $25. She is trying to pay back $2 each week for the next 8 weeks. If Maia is successful, which amount will represent the change in the amount of her debt?

+$16
-$16
+$10
-$10

can someone please help? i've been asking questions and nobody's been helping :(

Answers

Answer to your question is -$16

Answer:

-16

Step-by-step explanation:

2(8)=16, 25+(-16)=current debt after 8 weeks

What is it ? Help ?

Answers

Answer:

15

Step-by-step explanation:

It is an obtuse triangle

Hope this helps!!!

Kurt says factors and multiples are related. Use the equation 8×5 = 40 to describe the relationship between factors and multiples.

Answers

Answer:

Before heading towards the solution, you need to make sure how multiple and factors are related to each other.

The multiple of a number could be obtained by multiply it with another number.

For example, the first five multiples of 12 are 12, 24, 36, 48 and 60

1 X 12 = 12

2 X 12 = 24

3 X 12 = 36

4 X 12 = 48

5 X 12 = 60

Factors are the numbers that are multiplied to get a given number.

For example,

1 X 12 = 12

2 X 12 = 24

3 X 12 = 36

The factors of 12 are 1, 2, 3, 4, 6 and 12.

As division and multiplication can be used to find factors and multiples.

For example a whole number is a multiple of its factors.

Let w = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} be the set of even wholes numbers from 2 to 20.

As 2 is a factor of 20 because 20 ÷ 2 = 4

20 is a multiple of 2 because 2 X 10 = 20

So, in the same way, the equation 8 X 5 = 40 can be used to determine how factors and multiples are related.

Let the equation be

                                   8 X 5 = 40

8 is a factor of 40 because 8 X 5 = 40

40 is a multiple of 8 because 40 ÷ 5 = 8

So, this is how factors and multiples are related to each other.

Someone plz help me with this 2 questions I will give brainliest
(Look at the pictures)

Answers

Answer:

61 ounces

Step-by-step explanation:

1 pound = 16 ounces

8 pound 3 ounces = 8*16 + 3 = 128 +3 = 131 ounces

No Jesse's weight = 12 pounds = 12*16 = 192 ounces

Weight gained = 192 - 131 =  61 ounces

What is 62% written as a decimal?

Answers

Answer:

62% = 0.62 in decimal form. Percent means 'per 100'. So, 62% means 62 per 100 or simply 62/100. If you divide 62 by 100, you'll get 0.62 (a decimal number).

The decimal of 62% is 0.62

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

We have to change 62% in decimal.

As, 62%

= 62/100

And, the number of zeroes in denominator decimals where to put the decimal.

so, 62/100

= 0.62

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ5

What is the value of the variable in the equation, y/12=7 *



please help me with this

Answers

Answer:

y=84

Step-by-step explanation:

12*7 = 84

11 1 1 point Find the circumference of the circle. Do NOT round your answer. 16.8 m​

Answers

Step-by-step explanation:

22/7*1111=3491

this is the ams

Find the missing side length.
12
15
X

Answers

x^2 = c^2 -b^2
225-144=81
square root of 81 is 9
answer is 9
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