The volume of a rectangular prism is the product of its length, width, and height. The length of a rectangle prism is 3 feet more than five times its height. The width is 5 feet less than six times its height. Express the length and width in terms of the height h. The length is The width is (Be sure to Write down the expanded form of the expression for the volume: expand the volume expression) (Express the interval in which the In what range must the height fall? He height must be)

Answers

Answer 1

The length and width in terms of the height h is  5h+3 feet and 6h-5 feet respectively, the volume will be  [tex]30h^3 - 7h^2 -15h[/tex] units and the height must be in the interval of [tex][0,\infty)[/tex].

According to the question,

The height of the rectangular prism is h.

The length of the rectangular prism  is  5h+3 feet

The width of the rectangular prism  is  6h-5 feet

The volume of the rectangular prism can be calculated as:

[tex]Length \times width \times height = Volume[/tex]

Substitute the value of height, length  and width in the formula:

[tex]V = (5h+3) \times (6h-5) \times h[/tex]

V = [tex](30 h^2 -7h-15)h[/tex]

[tex]V = 30h^3 - 7h^2 -15h[/tex]

The height is always positive. So, the interval in which the In what range must the height fall is [tex][0,\infty)[/tex].

The length and width in terms of the height h is  5h+3 feet and 6h-5 feet respectively and the volume will be  [tex]30h^3 - 7h^2 -15h[/tex] units

The height must be in the interval of [tex][0,\infty)[/tex].

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Related Questions

If a flagpole is 30 feet tall and Mai-Lin is
standing a distance of 15 feet from the flagpole, what
is the distance from her feet to the top of the flagpole?

Answers

Add the information given.

She is 15 feet away:

15 + ? = ?

The pole is 30 feet, and it is asking distance to the top.

15 + 30 = ?

15 + 30 = 45

Answer:

about 33.5 ft

Step-by-step explanation:

The distance from Mai-Lin’s feet to the top of the

flagpole is about 33.5 ft.

What is 10/3(fraction) times 6/5(fraction)

Answers

Answer:

4

Step-by-step explanation:

When multiplying those fractions, you multiply the top (numerators) by each other and you'll get 60

Then when you divide the denominators you'll get 15.

60 divided by 15 is 4.

10/3 x 6/5 = 4

Step-by-step explanation:

You multiply the numerators together, same with the denominator. You get 60/15. You divide those numbers so you get 4 as your answer. Hope this helps!

Help me please! Will mark Brainliest! <3

Answers

Answer:

助けはないが私をマークする

Step-by-step explanation:

Answer:

(0,0) is the origin therefore $0 per hour

(1,125) means that in 1 hour the company rents rafts for $125 per hour

what is the approximate volume of the cone? use 3.14 for p? help immediately

Answers

Answer:

V=157

Step-by-step explanation:

Formula-

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]

1.) Place height and radius in the formula.

V=π[tex]5^{2}[/tex][tex]\frac{6}{3}[/tex]

2.) Now all you have to do is simplify.

V=3.14 x 25 x 2

3.) Now solve.

V=157.07963

Answer:

I say 157 cubic centimeters

Step-by-step explanation:

WHAT DO I DO NEXT!!!!!!!!!!
Names
Item 1
Price
Item 2
Price
Item 3
Price
Subtotal
Tip
Total Bill
Your name
My sister
Kids meal and chicken tenders
4.99
burger
3.99
Drink
small
2.50
49.77
3
50.00
Friend #1
family
Kids meal
4.99
Cheese burger
2.99
Drink
small
1.99
29.69
10
30.00
Friend #2
me
burger
2.30
fries
2.99
Coffe
mocha
2.00
13.75
20
14.00
Friend #3
Family and family
Burger with stuff in side
4.99
Burger with stuff in side
4.99
Two drinks for two people.
9.00
18.99
20
c
Part 2: Questions
Answer the following questions, showing all work:
What is the total cost of the entire bill (all four meals), including tip?
50 + 30+ 14 + 19 = 113


Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
113
If you just multiply 4.99 by 3.99 by 2.50 you would get 49.77 thats just an example.



If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.

Answers

There is no answer you did everything? :/

Answer:

what ????

Step-by-step explanation:

Lucy made a pumpkin pie to sell at a bake shop. She cut it into 6 slices and sold each slice for $1.25. How much money will she make if she sells the entire pie?

Answers

She will make $7.50

Answer:

$7.50

Step-by-step explanation:

Lucy cut it into 6 slices so the total is 6 and sold for $1.25 each slice so you multiply the total number of slices by the cost of each slice

6 times 1.25 = 7.5

7.5 = 7.50

So Lucy will make $7.50 if she sells the entire pie

Hope that helps dude !

Jeremy is saving $250 per month for his vacation . How much will Jeremy save up for his vacation in 1 year and 6 months?

Answers

Answer:

The expression shows the number of dollars he will have saved by the end of the year is given by 35(7)+40(5)=\$44535(7)+40(5)=$445

Step-by-step explanation:

Since we have given that

Amount he saved per month over the first 7 months = $35

Amount he saved per month over the next 5 months = $40

So, total saving by the end of the year is given by

\begin{gathered}35\times 7+40\times 5\\\\=\$245+\$200\\\\=\$445\end{gathered}

35×7+40×5

=$245+$200

=$445

Hence, the expression shows the number of dollars he will have saved by the end of the year is given by

35(7)+40(5)=\$44535(7)+40(5)=$445

NEED HELP
Which equation represents a line parallel to the line shown on the graph?
y=4x-1
y=-4x+3/5
y=1/4x+5
y=-1/4x-1

Answers

Answer:

It is -1/4-1. The slope of the line is -1/4, so the only line that can be parallel is a line with the same slope.

Answer: y=1/4x-2

Step-by-step explanation:

i just took the lesson :)

Consider the triangle.

Triangle A B C is shown. Side A B has a length of 22, side B C has a length of 16, and side C A has a length of 12.

Which shows the order of the angles from smallest to largest?

angle A, angle B, angle C
angle B, angle A, angle C
angle B, angle C, angle A
angle C, angle A, angle B

Answers

Answer:

It's B for edge 2020

Step-by-step explanation:

The order of the angles from smallest to largest is angle B, angle A, angle C and is denoted as option B.

What is a Triangle?

This is referred to a polygon which has three edges and vertices with its longest side being the hypotenuse.

The angle facing the largest side(AB) is always the largest which in this case is angle C, the medium side is side BC which has a length of 16 with the angle facing it as A which is why it is the second largest.

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There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of the speed of light, while the other twin stays home on Earth. How much does the twin on Earth age while the other twin travels to Proxima Centauri?

Answers

Answer:

4.7 years

Step-by-step explanation:

Distance of planet from Earth = 1.3 parsec

We know that 1 parsec = 3.26 light years

And a light year is the distance traveled by light in time period of 1 year.

So, Distance of planet from Earth = 1.3 [tex]\times[/tex] 3.26 = 4.24 light years

Given that, the person travels at a speed equal to 90% of the light speed.

To travel to the planet from Earth, Light takes 4.24 years.

To travel the distance [tex]D[/tex], at a speed [tex]s[/tex] light takes time of 4.24 years.

To travel the distance [tex]D[/tex], at a speed [tex]0.90s[/tex], the person takes time:

[tex]\dfrac{4.24}{0.90} = \bold{4.7\ years}[/tex]

So, the twin on Earth ages by 4.7 years.

Answer:

4.7 years

Step-by-step explanation:

WILL MARK AS BRAINLIEST BUT PLEASE HURRYY!!!!
What is the y-intercept of a line that has a slope of –3 and passes through point (0, -7)?
O-7
O-3
ОО
O4

Answers

Answer:

(0, -7)

Step-by-step explanation:

y = -3x - 7

y -int - > (0,-7)

hope this helps!

How do equations or inequalities help us understand how to interpret whether a solution is possible for a particular real world situation

Answers

If you simplify a polynomial equation and then try to solve each side for 0 and come
Up with an imposible solution to one of the sides, then it tells us that that particular number cannot be used to get satisfy the equation. One real life application of inequalities is in profit maximizing. We use inequality equations to determine which product/production combination should be used in order to generate the most profit

Algebra, help please ASAP

Answers

Answer:

GCF

I hope this helps!

Answer:

GCF

Step-by-step explanation:

A deluxe bakery sells a cookie for $2.38, a brownie for $3.07 and a cake for $14.87. On Wednesday they sold 13 cookies, 4 brownies and 4 cakes. The cost in ingredients for each cookie is $1.7, for each brownie is $1.91 and for each cake is $5.83. How much profit did they make on Wednesday?

Answers

Answer:

$ 49.64

Step-by-step explanation:

Selling price of cookie on Wednesday = 13 × 2.38 = $30.94

Selling price for brownie on Wednesday = 4 × 3.07 = $ 12.28

Selling price for cakes on Wednesday = 4 × 14.87 = $ 59.48

Cost price for cookie = 13 × 1.7 = $ 22.1

Cost price for brownie = 4 × 1.91 = $ 7.64

Cost price for cakes = 4 × 5.83 =$ 23.32

Total profit for Wednesday= Total selling price - total cost price

That is;

(30.94 + 12.28 + 59.48) - (22.1 + 7.64 +23.32) = $ 49.64

write the lengths in order from greatest to least

12.7 ( 12 7/10) 12 3/5 12 3/4

Answers

12 3/5, 12 7/10, 12 3/4

can someone help please ASAP?????????????

Answers

Answer:

B

Step-by-step explanation:

they are real numbers that are greater than 0 but less than 4

What does (+7)-(-3) equal

Answers

Answer:

10

Step-by-step explanation:

7−(−3)

=7−(−3)

=7+3

=10

Answer:

10

Step-by-step explanation: calculator

Jill babysat for 7 1/2 hours and earned $63.75. How much money does she earn per hour?​

Answers

Answer:

$8.50 per hour

Step-by-step explanation:

63.75 / 7.5 = 8.5

Pls help
Solve 2/3x- 1/5>1

Answers

Answer:

x > 9/5

Step-by-step explanation:

Step 1: Write inequality

2/3x - 1/5 > 1

Step 2: Solve for x

Add 1/5 to both sides: 2/3x > 6/5Divide both sides by 2/3: x > 9/5

Here we see that any x value greater than 9/5 will work.

help plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

Step-by-step explanation:

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet

If you deposit $5000 at the end of each year for 30 years using an annual interest rate of 9% compounded annually, how much money will you have after 30 years?

Answers

$163,500

5000(0.09) x 30 = 13,500
5000 x 30 = 150,000
Altogether 163,500

7( x-2) -3(x+3) = 5(x-3) + x

Answers

Answer:

-4

Step-by-step explanation:

ig i was right the first time

HELP ME PLEASE!!!!!!!!!

Answers

Use Conects it got all the math questions n got the answer to questions ahead of the one u looking for

Which equation represents exponential decay? A. y=100 (31)
B. y = To (3.1)
c. y = 10(0.13)
D. y = 100(1.03)
HURRY I AM DOING MAP TESTING

Answers

Answer:

C

Step-by-step explanation:

simplifying radicals pt.3 please help ASAP and explain if possible

Answers

Answer: It would be the first option. 15√​6

Step-by-step explanation:

5√3 = 5x3=15

√18= √9x2

√9=3

√3x2= √6

15√6

the sum of two numbers is -18. if the first number is 10 which equation represents this situation and what is the second number?​

Answers

The answer would be -28
10+ -28= -18

Charlotte is working two summer jobs, making $18 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work at most 15 total hours and must earn a minimum of $150. If Charlotte worked 5 hours walking dogs, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

the answer is 6.6 or at estimation 7

Answer:7

Step-by-step explanation:

If the length of a rectangle in terms of x is x2 + 2x + 5, and its width is 2x + 3, what is the perimeter of this rectangle?

Answers

Answer:

6x

Step-by-step explanation:

Perimeter of rectangle is [tex]2x^{2} +8x+16[/tex].

What is perimeter of rectangle?

The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.

Given

Length of a rectangle in terms of x = [tex]x^{2} +2x+5[/tex]

Width of a rectangle in terms of x = [tex]2x+3[/tex]

Perimeter of rectangle = 2(length + width)

P = [tex]2(x^{2} +2x+5 + 2x+3)[/tex]

P = [tex]2(x^{2} +4x+8)[/tex]

P = [tex]2(x^{2} )+2(4x)+2(8)[/tex]

P = [tex]2x^{2} +8x+16[/tex]

Hence, Perimeter of rectangle is [tex]2x^{2} +8x+16[/tex].

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What's the value of r (common ratio)
7, 21, 63, 189, ......
11)
A. 3
B. -3
C.
32
D.
Neither

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex]the \: common \: ratio \: is \: 3 \\ i.e \: \frac{21}{7} = \frac{63}{21} = \frac{189}{63} = 3[/tex]

The answer is A

I already wrote the steps and explanation in the image

Sorry for my broken English QAQ

help please this for algebra 1​

Answers

Answer:

D. 1/3

Step-by-step explanation:

When you add 1/3 and 6 you get 6 1/3 so yeah

I think the answer would be D:)
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