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1 year ago

A swimming pool is shaped like

Mathematics

1 answer:

grigory [225]1 year ago

8 0

The volume of the swimming pool is 240 ft³

Given, a swimming pool is shaped like a rectangular prism.

The bottom of the pool has an area of 48 ft² and the pool is 5 ft deep.

We have to find the volume of the swimming pool,

So, Area = 48 ft² and Height = 5 ft

Volume = Area × Height

Volume = 48×5

Volume = 240 ft³

Hence, the volume of the swimming pool is 240 ft³

Learn more about Volumes here brainly.com/question/463363

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Covert 77 1/2% to a fraction in lowest term

Elodia [21]

$77\frac{1}{2} \%$ converted to fraction in lowest terms is $\frac{31}{40}$

<em><u>Solution:</u></em>

Given that we have to convert $77\frac{1}{2} \%$ to fraction in lowest terms

Let us first convert the mixed fraction $77\frac{1}{2}$

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

$77\frac{1}{2} \% = \frac{77 \times 2+1}{2} \% = \frac{155}{2} \%$

$\frac{155}{2} \% = 77.5 \%$

Now convert 77.5 % to fraction

So we have to convert percentage to fraction

Divide the percentage by 100 to get a decimal number

$77.5 \% = \frac{77.5}{100} = 0.775$

Use that decimal number as the numerator of a fraction. Put a 1 in the denominator of the fraction

Count the number of places to the right of the decimal. If you have x decimal places then multiply numerator and denominator by $10^x$

$0.775 = \frac{0.775}{1} \times \frac{1000}{1000} = \frac{775}{1000}$

Simplify and reduce the fraction to lowest terms

$\rightarrow \frac{775}{1000} = \frac{31}{40}$

Thus the given percentage is converted to fraction in lowest terms

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3 years ago

Monica is multiplying 8.714 by 1,000. How many places should she move the decimal point? For the most helpful answer, I will giv

WITCHER [35]

The decimal point should move all the way behind '4'. Therefore the answer is 8714.0

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3 years ago

Tully has 24 stamps in his collection this is 1/3 times the number Jordan has how many stamps does Jordan have

vredina [299]

Jordan should have 72 stamps. since Tully has 1/3 of Jordans collection, you multiply 24 by 3 to get 72

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3 years ago

Observe that equation (3) has constant coefficients. If y1(x) and y2(x) form a fun- damental set of solutions of equation (3), s

WARRIOR [948]

The equations (2) and (3) you referred to are unavailable, but it is clear that you are trying to show that two set of solutions y1 and y2, to a (second-order) differential equation are solutions, and form a fundamental set. This will be explained.

Answer:

SOLUTION OF A DIFFERENTIAL EQUATION.

Two functions y1 and y2 are set to be solutions to a differential equation if they both satisfy the said differential equation.

Suppose we have a differential equation

y'' + py' + qy = r

If y1 satisfies this differential equation, then

y1'' + py1' + qy1 = r

FUNDAMENTAL SET OF DIFFERENTIAL EQUATION.

Two functions y1 and y2 are said to form a fundamental set of solutions to a second-order differential equation if they are linearly independent. The functions are linearly independent if their Wronskian is different from zero.

If W(y1, y2) ≠ 0

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3 years ago

We toss two dice 1,000 times. How many times do we expect to have the sum of the two dice equal to 4?

Delicious77 [7]

Total possible outcomes = 36
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{1, 3} {2, 2}, (3, 1}

P(sum equal to 4) = 3/36 = 1/12

If you throw it 1000 times,
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Answer: About 83 times

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3 years ago