A tank is in the shape of a cube with edge lengths of 6 feet. Find the number of cubic feet of water needed to fill the tank. Then find the number of cubic yards of water needed to fill the tank.

Answers

Answer 1

Answer:

The number of cubic feet of water needed to fill the tank is [tex]216 \mathrm{ft}^{3}$[/tex]

The number of cubic yards of water needed to fill the tank is [tex]8 \mathrm{yd}^{3}[/tex]

Step-by-step explanation:

Given

A tank is in the shape of a cube with edge lengths of 6 feet.

Step 1 of 2

The volume of a cube with edge length [tex]$e$[/tex] is given by:

[tex]V=e^{3}[/tex]

Given that [tex]$e=6 \mathrm{ft}$[/tex], the number of cubic feet of water needed to fill the tank is:

[tex]V=6^{3}[/tex]

[tex]V=216 \mathrm{ft}^{3}[/tex]

Step 2 of 2

The number of cubic yards of water needed to fill the tank is

[tex]V=216 \mathrm{ft}^{3} \times \frac{(1 \mathrm{yd})^{3}}{(3 \mathrm{ft})^{3}}[/tex]

[tex]=8 \mathrm{yd}^{3}[/tex]

Learn more about volume, refer :

https://brainly.com/question/898827


Related Questions

Give the slope of a line perpendicular to AB

Answers

Answer:

m = -1

Step-by-step explanation:

Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].

8-5/7-4

3/3

1

Find the y-intercept.

5 = 1(4) + b

5 = 4 + b

1 = b

So the equation of the line AB is y = x + 1.

The slope of a perpendicular line is the opposite reciprocal of the original line.

1 -> -1/1 -> -1

Best of Luck!

The angle turns through 1/12th of the circle what is the measure of the angle

Answers

Answer:

30°

Step-by-step explanation:

A full circle has 360°.

1/12 of a circle has 1/12 of 360°.

1/12 * 360° = 360°/12 = 30°

Answer: 30°

Evaluate the expression for u = –8. Simplify your answer. –8 u

Answers

9514 1404 393

Answer:

  64

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  -8u = -8(-8) = 64

10. The product of two integers is -18. The difference between the integers is 9. The sum of the
integers are 3. What are the two integers?

Answers

Answer:

x = 6

y = - 3

Step-by-step explanation:

x * y = - 18

x - y = 9. 3-y-y = 9. 3 -2y = 9.

-2y = 9-3

y = 6/-2

y = -3

x + y = 3. x = 3-y

x * -3 = - 18

x = -18/-3

x = 6

4. A model of the Elffel Tower that was
purchased in a gift shop is 30 -
inches tall. The actual height of the
Elffel Tower is 1000 feet, or 12,000
inches. What scale factor was used to
make the model?

Answers

Answer:

400

Step-by-step explanation:

To find the scale factor, you need to find out how much the initial value was multiplied by to get the new value. To do that, you need to divide the new value by the initial value. Make sure the units are the same; don't divide 1000 feet by 30 inches!

[tex]\frac{new}{initial} = \frac{12000}{30}=400[/tex]

Hope this helps!

Given: g(x) = -2x-5 and f(x)= x2 +1
Find: f(g(-8))

Answers

Answer:

[tex]g( - 8) = - 2( - 8) - 5 = 16 - 5 = 11[/tex]

[tex]f(g( - 8)) = {11}^{2} + 1 \\ = 121 + 1 \\ = 122[/tex]

I hope I helped you^_^

[tex]\\ \sf\longmapsto g(x)=-2x-5[/tex]

[tex]\\ \sf\longmapsto g(-8)[/tex]

[tex]\\ \sf\longmapsto -2(-8)-5[/tex]

[tex]\\ \sf\longmapsto 16-5[/tex]

[tex]\\ \sf\longmapsto 11[/tex]

Now

[tex]\\ \sf\longmapsto f(x)=x^2+1[/tex]

[tex]\\ \sf\longmapsto f(g(-8))[/tex]

[tex]\\ \sf\longmapsto f(11)[/tex]

[tex]\\ \sf\longmapsto 11^2+1[/tex]

[tex]\\ \sf\longmapsto 121+1[/tex]

[tex]\\ \sf\longmapsto 122[/tex]

A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the population after eight years if there are 10 rabbits at t=0?

Answers

We have to find derivative of t

[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]

[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]

[tex]\\ \sf\longmapsto 6t-12[/tex]

Now

t=8..

[tex]\\ \sf\longmapsto 6(8)-12[/tex]

[tex]\\ \sf\longmapsto 48-12[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

What is 8(9h - 6) simplifyed

Answers

Answer:

72h - 48

Step-by-step explanation:

Use distributive property

8(9h - 6)

Multiply 8 out of 9h - 6

72h - 48

Can someone help me out with this math problem please. 4/5= a/30 so a=

Answers

Answer:

24

Step-by-step explanation:

[tex] \frac{4}{5} = \frac{a}{30} \\ 30 \times \frac{4}{5} = a \\ a = 24[/tex]

Answer:

a=24

Step-by-step explanation:

4/5=a/30

5a=120

a=120÷5

=24

0.21 es mayor o menor que 0.210

Answers

Nope it’s equal to! 0.21 = 0.210

Find an ordered pair (x, y) that is a solution to the equation. 4x-y=4 (x, y) = 00 X Х ?​

Answers

(0
,

4
)
,
(
1
,
0
)
,
(
2
,
4
)

Is the awnser

Your teacher has asked you to explain the difference between quantitative and qualitative observations. Which statement is correct?



Question 8 options:

Quantitative observations use numbers, qualitative uses the senses.


Quantitative observations use the senses, qualitative uses numbers.


Quantitative observations use measurement, qualitative uses numbers.


Quantitative observations use colors, qualitative uses the senses.

Answers

Answer:

Step-by-step explanation:

B is the answer and if the next has something to do with connie then your answer is C

Will give brainliest!

Answers

Answer:

the area!!!

Step-by-step explanation:

2(a+b)h

to find b you have to know the base of the triangle. you may use pythagoras' theorem for that. you will then get 5ft as the base.

5ft + 48ft = 53ft.

put in the formula, the area is then

2(48+53)*13

am not with a calculator.... so sort it out....

I think you can get the rest with this...

I’m stuck on this question if someone could help me I would highly appreciate:)

Answers

Answer:

CA=20

SEE THE IMAGE FOR SOLUTION

Simplify the expression. 10 (n^2+ n) - 6 (n^2 - 2)

Answers

10(n²+n)-6(n²+2)10n²+10n-6n²-1210n²-6n²+10n-124n²+10n-12

please mark this answer as brainlist

plz answer i need this B

Answers

Answer:

Option C

Step-by-step explanation:

The data in the table shows quantity increase with the price increase and we want to analyze the relationship between price and quantity.

The data indicates a positive slope if we keep price on x-axis and quantity on y- axis.

Option C is reflecting this and correctly highlighted.

Answer:

Option C

Step-by-step explanation:

Because as we can see y is increasing with respect to x

So the slope is positive

The line should go up rightwards

Hence option C is correct

a window is 9ft long. It is x feet longer than it is high. What is the height of the window.

Answers

Length of the window = 9ft
The length is x feet more than the height
Therefore, the height is (9-x) ft

The height of the window is 9-x feet.

Given that, a window is 9 ft long. It is x feet longer than it is high.

We need to find what is the height of the window.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here, the length of the window = 9 ft

Then, the height of the window = x feet smaller than the length = 9-x feet

Therefore, the height of the window is 9-x feet.

To learn more about an expression visit:

https://brainly.com/question/28170201.

#SPJ2

the postage to mail a letter that weighs 0.4 o will cost $_? (type an integer or a decimal)

Answers

9514 1404 393

Answer:

  $0.42

Step-by-step explanation:

Look at the function definition to see which part applies when x = 0.4. It will be the first part, which is defined for 0 < x < 1. That part tells you the postage for 0.4 oz is $0.42.

What is the value of 2x^2+5y-8 when x=2 and y=4

Answers

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

I hope you understood! :))

15/45 turned into a decimal
15/16 turned into a decimal
1/8 turned into a decimal

.875 turned into a fraction
.4375 turned into a fraction
.625 turned into a fraction
.03 turned into a fraction

40% turned into a fraction​

Answers

Answer:

0.33333333

0.9375

0.125

7/8

7/16

5/8

3/100

4/10 or 40/100

Step-by-step explanation:

CAN SOMEONE PLZ HELP ME

Answers

Answer:

Slope intercept is y = mx+b.

SLOPE is m

and Y-INTERCEPt, where the thing touches the y axis is b.

The line touches the y axis at -6.

The slope is 2/3

y=2/3x-6

Step-by-step explanation:

Look at the attached image. I need help!!!​

Answers

Answer:

$9

Step-by-step explanation:

5 x 9 = $45

Or

9+9+9+9+9

Answer:

$9

Step-by-step explanation:

45 ÷ 5 = 9

hope this helps

20 points help quick

Answers

Answer:

6s-36 is the answer . Hope this helps you.

Answer:

6(x-6) = 6x-36

Step-by-step explanation:

Answer the question please

Answers

Answer:Perimeter: 99.4 feetArea: 609.4 feet^2Step-by-step explanation:Perimeter:

To find the perimeter of a rectangle, you add up 2 times the length and 2 times the width. Here's the expression: [tex]2l+2w[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]2l+2w=99.4[/tex]. [tex]22*2=44. \\27.7*2=55.4[/tex].

Area:

To find the area of a rectangle, you multiply the length by the width. Here's the expression: [tex]lw[/tex].  In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]22*27.7=609.4[/tex].

Side note:

It doesn't matter what l or w equal because There's a property in addition that says it doesn't matter which order the values go in. There's also a property in multiplication that it doesn't matter which order the values go in (same as addition).

Identify the domain of the function

Answers

Answer:

(-2,4)

Step-by-step explanation:

It will be the correct answer.......

2m(xy-3p)

Please solve

Answers

Answer:

2mxy - 6mp

Step-by-step explanation:

2m(xy - 3p)

2m × xy - 2m × 3p

2mxy - 6mp

give brainliest please I need it to level up

Going to sleep goodbye

Answers

ayo good night and hope to have a good day tomorrow’s

can someone plz help me with this question

Answers

Answer:

it is  she thought that the concentration of allicin might be to low.... decrease the number of new tumors

why? because its asking to selct the part where its revising her hypotheses and thats exaclty what she did she analyzed what happened.

Hi land is not 2:35647

Find the inverse of the function: f(x)=−14x+4
A f−1(x)=−4x+16
B f−1(x)=−12x+2
C f−1(x)=4x+16
D f−1(x)=12x+1

Answers

Answer:

[tex]\displaystyle f^{-1}(x) = -\frac{x}{14} + \frac{2}{7}[/tex]

Step-by-step explanation:

It is neither of these. To find the inverce, interchange the variables, then solve for y:

[tex]\displaystyle x = -14y + 4 \hookrightarrow \frac{x - 4}{-14} = \frac{-14y}{-14} \\ \\ f^{-1}(x) = -\frac{x}{14} + \frac{2}{7}[/tex]

I am joyous to assist you at any time.

Jessica, an experienced bungee jumper, leaps from a tall bridge and falls toward the river below. The bridge is 200 feet above the water and Jessica's bungee cord is 130
feet long unstretched. When will Jessica's cord begin to stretch? Round your answer to two decimal places

Answers

Answer:

70 feet above the water will it begin to stretch.

Step-by-step explanation:

200 - 130 = 70

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