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2 years ago

What are all the prime and composite factors of 45

Mathematics

1 answer:

Helen [10]2 years ago

3 0

I may not know many but here it goes...
1,3,5,9,45

Hope this helped you!

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Make r the subject of t = 6r^2 + 6

SpyIntel [72]

First step, divide 6 from both sides.

t/6=r^2+1

second step, subtract 1 from both sides

t/6 -1=r^2

Now take the square root of each side.

$\sqrt{\frac{t}{6}-1}=r$

Done!

3 0

2 years ago

Consider the radical equation √n+ 4 = n-2.

muminat

Answer:

Pretty sure neither of them work. So prolly the last one. Hope I’m right :)

3 0

2 years ago

Integrate this two questions

tankabanditka [31]

Simplify the integrands by polynomial division.

$\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)$

$\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)$

Now computing the integrals is trivial.

$\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}$

where we use the power rule,

$\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)$

and a substitution to integrate the last term,

$\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)$

$\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}$

using the same approach as above.

5 0

1 year ago

The assembly time for a product is uniformly distributed between 6 to 10 minutes. the expected assembly time (in minutes) is

Marta_Voda [28]

The expected assembly time is the middle of the range of the uniform distribution, 8 minutes.

7 0

3 years ago

Hailey has a summer job at the water slide park. She earns $9.50 an hour as a lifeguard, but never works more than 25 hours in a

ki77a [65]

It's C. (0 < h < 25)

6 0

2 years ago