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Fofino [41]
3 years ago
9

Tbh im dumb but what are the prime factors of 400 and the square root of 400

Mathematics
2 answers:
Eva8 [605]3 years ago
7 0
The prime factors are:
2 x 2 x 2 x 2 x 5 x 5

The square root is 20
expeople1 [14]3 years ago
3 0
Prime factors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, and 400.

Square root: √400=√20^2=20
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Is pi/pi irrational
dedylja [7]

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No, \frac{\pi}{\pi} is 1 which can be written as \frac{1}{1}. The definition of rationals is any number that can be written as a ratio of an integer to an integer where the bottom integer is not 0.

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\frac{\pi}{\pi}=1  since 1(\pi)=\pi.

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3 0
3 years ago
Any help with this greatly appreciated.
Anestetic [448]

Put the equation in standard linear form.

x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}

Find the integrating factor.

\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5

Multiply both sides by \mu.

(t+5) x'(t) + x(t) = 5(t+5)e^{5t}

Now the left side the derivative of a product,

\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}

Integrate both sides.

(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt

On the right side, integrate by parts.

(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C

Solve for x(t).

\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}

3 0
2 years ago
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