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Sonja [21]
3 years ago
14

12 gallons of water to fill a tank to 3/4 capacity. What is the capacity of the tank?

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0
It can hold 16 gallons of water 
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Xy′ = √(1 − y2 ), y(1) = 0
Ulleksa [173]

Answer:

The particular solution is y=\sin (\ln|x|) .

Step-by-step explanation:

The given differential equation is

xy'=\sqrt {1-y^2}

It can be written as

x\frac{dy}{dx}=\sqrt {1-y^2}

Use variable separable method to solve the above equation.

\frac{dy}{\sqrt {1-y^2}}=\frac{1}{x}dx

Integrate both sides.

\int \frac{dy}{\sqrt {1-y^2}}=\int \frac{1}{x}dx

\sin^{-1} y=\ln|x|+C            .... (1)

It is given that y(1)=0. It means y=0 at x=1.

\sin (0)=\ln|1|+C

0=0+C

0=C

The value of constant is 0.

Substitute C=0 in equation (1) to find The required equation.

\sin^{-1} y=\ln|x|+0

Taking sin both sides.

y=\sin (\ln|x|)

Therefore the particular solution is y=\sin (\ln|x|) .

7 0
3 years ago
NEED HALP PLEAAAASE!!! I REALLY DONT GET THIS-
katen-ka-za [31]

Answer:

48

Step-by-step explanation:

1200/25=48

8 0
3 years ago
What is the answer to 80
aniked [119]
10×8 is that what you mean
5 0
3 years ago
Layla has a coin that has a 60%, percent chance of showing heads each time it is flipped. She is going to flip the coin 5 times.
Semenov [28]

Answer:

0.33696

Step-by-step explanation:

Given that:

Probability of showing up head (p) = 0.6

Number of flips = number of trials = 5

Probability of getting more than 3 heads

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x> 3) = p(4) + p(5)

P(x = 4) = 5C4 * 0.6^4 * 0.4^1 = 0.2592

P(x = 5) = 5C5 * 0.6^5 * 0.4^0 = 0.07776

Hence,

0.2592 + 0.07776

= 0.33696

3 0
2 years ago
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ROUND 3.05947821031 TO THE NEAREST WHOLE NUMBER HELP
Alexus [3.1K]
3 because the next number to the right is a 0 and will not be rounded up.
6 0
3 years ago
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