The formula for the volume of this rectangular prism is:

V = x 3 + 5x 2 - 4x - 20

The length is x+5; the width is x+2; the height is unknown. Find an expression for the height.

Show all steps of your work for full credit.

Answers

Answer 1

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

32

;

............... (2)

W

=

(

x

1

)

;

   

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

l

0

)

(

x

+

8

)

(

x

1

)

,

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

8

)

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

8

)

   

   

   

   

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

8

)

x

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

   

7

l

0

8

=

20

;

   

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)


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43

Step-by-step explanation:

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Answer:

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A student in eighth grade notices that the current cost of of tuition, books, and fees at a 4 year college is $16,000 per year. The family reads that there is an annual increase of $450 per year.

What will the the total cost of tuition, books, and fees for this student when this student attends college for four years, after graduating high school?


$73,700

$75,700

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Answers

Answer: It's  (B)  $75,700

Calculator
What is the value of x?
8 in.
15 in.
Enter your answer in the box.
5 in
X=
in.

Answers

Answer:

x = 24 in

Step-by-step explanation:

The corresponding  sides of similar triangle will be in same proportion.

[tex]\frac{x}{8}=\frac{15}{5}\\\\\frac{x}{8}=3\\\\x = 3*8\\x = 24[/tex]

Step-by-step explanation:

x/15 = 8/5

x = 15 * 8 / 5

x = 24

answer

x = 24 in

HELP HELP PLEASE IM BEGGING YOU HELP!

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Answer:

22 * n + 4

Step-by-step explanation:

Tyree wants to know if the value of -1 3/4, raised to the 12th power is a positive or negative number

Answers

9514 1404 393

Answer:

  positive

Step-by-step explanation:

The exponent 12 tells you how many times (-1 3/4) is a factor in the product. The number 12 is even, so there will be an even number of minus signs in the product. That results in a positive product.

__

The value is ...

  825.005006849765777587809625

Help please due today!!!

Answers

Answer:

C

Step-by-step explanation:

Ivy says:

f(1) = -100

f(n) = -100 + 50( n - 1 )f(1) = -100 + 50( 1 - 1 )f(n) = -100 + 50(0 ) anything times 0 is 0!f(1) = -100

You do that with the other numbers in the sequence. 2 = -50, 3 = 0 and so on

When you to n as 1, 2, and 3 they seem to all check out. So Ivy is right!

Andrey says:

f(1) = -100f(1)= -150 +50(1)f(1) = -150 + 50f(1) = -100

That's a little suspicious don't you think that both answers are right..

Essentially they are both the same equation!

So let's simplify Ivy's equation!

f(n) = -100 + 50( n - 1 )

f(n) = -100 + 50n - 50

f(n)= -150 +50n

Which is basically Andrey's equation and they both seem to be right for the sequence! So both of them are right!

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2
8
2
Least multiple that is the sam
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no

Step-by-step explanation:

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Answer:

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Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?

Answers

A 10% tip would be $7.50, so a$7 tip is too little

Answer:

a $7 tip is too little

Step-by-step explanation:

Find a solution to the linear equation y=-4x+36 by filling in the boxes with a valid value of x and y

Answers

Answer:

23

Step-by-step explanation

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stream

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reckless

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find the tax sales on item divide the price of the item by 20 write an algebraic expression to find the sales tax on an item that cost three dollars find the sales tax on a television that cost $800

Answers

Answer:

Step-by-step explanation:

tax = 1/20 of price

1/20 of $3 = 1/20 × 3 = 3/20 = $0.15

1/20 of $800 =  1/20 × 800 = $40

whats the largest number that can round to 440000?

Answers

Answer:

439999.999999999999999

Step-by-step explanation:

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Answers

D is the correct answer because a true proportion is a proportion that has to be equal to one another. 9 goes into 45 five times and 20 goes into 100 five times therefore the fractions are equal.

Diana is painting a circular mural on her wall.
Her mural is going to have a diameter of 7
feet. How much wall space will she be
painting?

Answers

Answer:

3.5 hope I help you that's the answer

a coach on a motorway is travelling at a constant speed . in ten minutes it travels 16 kilometer

work out its travells

20 minutes
please answer

30 minutes

50 minutes

1 hour

Answers

Step-by-step explanation:

10 minutes= 16km

20 minutes= 16x2 = 32km

30 minutes= 16x3 = 48km

50 minutes= 16x5 = 80km

60 minutes = 16x6 = 96km

I hope this helps, have a great day! :) -wilzW

Write the percent as a mixed number in simplest form.
168%

Answers

Answer:

1 and 17/25

Step-by-step explanation:

First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.

(hope this helps :P)

given f(x) = 1/4 (5-x)^2 what is the value of f(11)

Answers

Answer:

9

Step-by-step explanation:

f(11) means that x = 11 (plug it in)

f(11) = 1/4(5-11)^2

      = 9

The value of f(11) is 9.

The function of a given term is a form of an expression where element of the domain consists of a unique identity and each input value of a function is allocated to only one output value.

From the parameters given;

[tex]\mathbf{f(x) = \dfrac{1}{4}(5 - x)^2}[/tex]

we are to replace x with 11 wherever we see x

[tex]\mathbf{f(11) = \dfrac{1}{4}(5 - 11)^2}[/tex]

[tex]\mathbf{f(11) = \dfrac{1}{4}(-6)^2}[/tex]

[tex]\mathbf{f(11) = \dfrac{1}{4} \times 36}[/tex]

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https://brainly.com/question/10283950

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Answers

Answer:

i believe the answers D

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

Select the correct answer.
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A.
4w + 3
B.
w – 3
C.
5w
D.
6w + 4

Answers

Answer:

hope it helps

Step-by-step explanation:

х2 - 6х + 40 = (х + 5

Answers

x^2 - 6x + 40 = x + 5

Solution for quadratic equation

Subtract 40 from both sides.

x^2 - 6x + 40 - 40 = x + 5 - 40

= x^2 - 6x = x - 35

Subtract x from both sides.

x^2 - 6x - x = x - 35 - x

= x^2 - 7x = -35

Rewrite the equation in the form
(x + a)^2 = b

(x - 7/2)^2 = - 91/4

Answer

x = 7/2 + sqroot 91/2,
x = 7/2 - sqroot 91/2

Solution to simplify

Group like terms

x^2 - 6x + 40 = x + 5
x^2 - 6x - x = 5 - 40
x^2 - 7 = -35

A triangle is equilateral if
sides are the same length.
I need help please

Answers

Answer:

all 3

Step-by-step explanation:

yes all 3 sides would be equal

In one town, 47% of all voters are Democrats. If three
voters are randomly selected for a survey, what is the
probability that they are all Democrats?

Answers

Answer:

The  probability that the all three votes are  Democrats

P(X=3) = 0.1038

Step-by-step explanation:

Step(i):-

Given that the all voters are democrats

The probability that the all voters are democrats

p = 47% =0.47

q = 1-p =1-0.47 = 0.53

Step(ii):-

Let 'X' be the random variable in binomial distribution

[tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]

The  probability that the all three votes are  Democrats

P(X=3) = 0.1038

n=3 and r=3

[tex]P(X=3) = 3_{C_{3} } (0.47)^{3} (0.53)^{3-3}[/tex]

[tex]P(X=3) = 1 (0.47)^{3}[/tex]

P(X=3) = 0.1038

Final answer:-

The  probability that the all three votes are  Democrats

P(X=3) = 0.1038

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Answers

Answer:

Burgers: 12

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Step-by-step explanation:

Which statement best describes the function below? f(x)=2x^3+2x^3-x​

Answers

Answer:

A

Step-by-step explanation:

It is a one-to-onw function

solve and graph 3t - 12 < -9

Answers

Answer:

x = anything lower than 1

Step-by-step explanation:

x < 1

The constraint of inequality 3t - 12 < -9 is t < 1 and has been plotted on a number line.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Given the inequality

3t - 12 < -9

Add 12 on both sides

3t - 12 + 12 < -9 + 12

3t < 3

Divide by 3 into both sides

t < 1

Hence "The constraint of inequality 3t - 12 < -9 is t < 1".

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brainly.com/question/20383699

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Coach Kay has assets that total $22,500 and liabilities that total $48,000. What is Coach Kay's net worth?

Answers

Answer:

70,500

Step-by-step explanation:

Add 22,500 and 48,000

The answer is 70,500

Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?

Answers

14-3=11, The answer is 11

Answer:

well I have this question too if you are doing amplify math so I got the soulutions x+3=14 and x=14-3.

Step-by-step explanation:

And for the x= part its x=11

Brian walk 1 1/4 miles in 5/12 hour. What is Brian's unit rate?

Answers

Answer:

3 miles per hour

Yep brainliest if correct

Answers

it d
2197
hope that helps

9514 1404 393

Answer:

  B)  -125

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  (a^2 -b^2)^3

  = (2^2 -(-3)^2)^3

  = (4 -9)^3

  = (-5)^3

  = -125 . . . . . matches choice B

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