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4 years ago

Find the volume of the prism. Write your answer as a decimal

Mathematics

2 answers:

nikitadnepr [17]4 years ago

7 0

Answer:

121.50

Step-by-step explanation:

LuckyWell [14K]4 years ago

6 0

Answer: $121.50 ft^3$

Let me know if you need the steps.

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Write an equation for each <br> 1. 10 <br> 2. 12<br> 4. 16 <br> 6. 20

Mariulka [41]

When x is 1 and y is 10

x(10) = y

When x is 2 and y is 12

x(6) = y

when x is 4 and y is 16

x(4) = y

When x is 6 and y is 20

x(4) - 4 = y

hope this helps

5 0

3 years ago

A woman is emptying her aquarium at a steady rate with a small pump. The water pumped to a 12-in.-diameter cylindrical bucket, a

Temka [501]

Answer:

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

Step-by-step explanation:

Given that,

The diameter of cylindrical bucket = 12 in.

Depth is increasing at the rate of = 4.0 in per minutes.

i.e $\frac{dh_1}{dt}=4$

$h_1$ is depth of the bucket.

The volume of the bucket is V = $\pi r^2 h$

$=\pi \times 6^2\itimes h_1$

$\therefore V=36\pi h_1$

Differentiating with respect yo t,

$\frac{dV}{dt}=36\pi \frac{dh_1}{dt}$

Putting $\frac{dh_1}{dt}=4$

$\therefore\frac{dV}{dt}=36\pi\times 4$

The rate of volume change of the bucket = The rate of volume change of the aquarium .

Given that,The aquarium measures 24 in × 36 in × 18 in.

When the water pumped out from the aquarium, the depth of the aquarium only changed.

Consider h be height of the aquarium.

The volume of the aquarium is V= ( 24× 36 ×h)

V= 24× 36 ×h

Differentiating with respect to t

$\frac{dV}{dt}=24\times 36 \times \frac{dh}{dt}$

Putting $\frac{dV}{dt}=36\pi\times 4$

$36\pi\times 4= 24\times 36\times \frac{dh}{dt}$

$\Rightarrow \frac{dh}{dt}=\frac{36\pi \times 4}{24\times 36}$

$\Rightarrow \frac{dh}{dt}=\frac{11}{21}$

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

7 0

3 years ago

The one-to-one functions g and h are defined as follows.

Ad libitum [116K]

Answer:

Step-by-step explanation:

The one-to-one functions g and h are defined as follows.

g={(-7,-6), (-5,4), (4,-7)(7,6)}

h(x)= 3x-14

Find the following.

g-1(4)=

"g-1(4)" just says "Find the pair of coordinates that has 4 for its

y-coordinate, and the answer is its x-coordinate". So we look through those

and find (-5,4) is the only one of those up there that has a 4 for it's y-

coordinate, and so its x-coordinate is -5 and we write:

g-1(4)=-5

8 0

3 years ago

Selena and Drake are evaluating the expression (StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript n

Anastasy [175]

Answer: A- Selena is incorrect because she should have substituted the values for the variables first, and then simplifed

i just took the test. i know that drake is correct because his finale answer was -1/2 and Selenas finale answer was 1/2 if she would have substituted her vaules before simplifying she would have gotten the answer 1/-2 instead of -1/-2 which resulted in her finale answer to be 1/2

8 0

3 years ago

Read 2 more answers

When the polynomial:

sleet_krkn [62]

Thanks this helps a lot

8 0

3 years ago