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Luden [163]
3 years ago
10

Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh

t of 72 inches. What is the height, in inches, of the water in the tank after 10 minutes? Round your answer to the nearest tenth.
Mathematics
1 answer:
beks73 [17]3 years ago
5 0

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = \frac{80000}{\pi(64)^{2}}=6.2169899

∴ The height of the water = 6.2 in. to the nearest tenth

 

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The probability is the number of positive events divided by the number of total possible events. The probability searched will be the probability that the first fish selected is a goldfish times the probability that the second fish selected is also a goldfish. The probability that the first fish selected is a goldfish is the number of goldfish in the tank divided by the total number of fish, i.e. 18 / 40. The probality that the second fish selected is a goldfish is 17 / 39 (because there is one goldfish less in the thank). Then, the joint probability is (18/40)*(17/39) = 306/1560 =102/ 520 = 51/260. Then,<span> the answer is the option b. 51/260</span>
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3 years ago
How much larger is 6" than 5 3/8"
Slav-nsk [51]
We convert 5 3/8 to a mixed number and will be equal to 43/8 and 6/1 we multiply it by 48 to be 288/48 and 43/8 multiply numerator and denominator by 6 to get 258/48 and then we subtract we will get 5/8 which is 0.628 and that would be the answer.
8 0
3 years ago
The U.S. annual energy consumption is roughly 1 x 1020 joules per a year. If there are 350,000,000 people in the U.S., express t
AnnZ [28]

Answer with Step-by-step explanation:

Given the total energy consumption for all of the population is

E=1\times 10^{20}Joules

Thus energy consumed by each person per year can be obtained by dividing the total energy consumed by the total population Thus we get

E_{per\cdot person}=\frac{1\times 10^{20}}{350\times 10^{6}}\\\\E_{per\cdot person}=28.57\times 10^{10}Joules/Year

Now the energy consumed in each second assuming that there are 365 days in each year equals

E_{second}=\frac{28.57\times 10^{10}}{365\times 24\times 3600}\\\\E_{second}=9059.49Joules

4 0
3 years ago
FIRST ANSWER GETS BRANLIEST!!
Mashcka [7]

Answer:

(0,0)

Step-by-step explanation:

Let's think about how the graph of this would look.

We know that y will be x^2, meaning that if x was 0, y would be 0.

If x was 1, y would be 1

If x was 2, y would be 4.

Now let's think about negative numbers.

If x was -1, y would be 1 (since -1^2 = 1

If x was -2, y would be 4 (since -2^2 = 4).

This means that our graph would turn at the point where x and y are equal (excluding 1,1)

This is 0,0.

So 0,0 is the turning point of this graph.

Hope this helped!

3 0
2 years ago
A shipping container is in the shape of a right rectangular prism with a length of 2 feet, a width of 1.5 feet, and a height of
Anastaziya [24]

Answer:

5 pounds

Step-by-step explanation:

the volume of the container = 2*1.5*3.5= 10.5cubic foot.

Density of the content = 0.49 pound per cubic foot.

As already know,

Density = mass/ volume.

therefore, mass = density * volume.

mass of the content = 0.49 * 10.5 =5 pounds approximately

6 0
2 years ago
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