All categories

3 years ago

GCF of 30 48 and 72

Mathematics

1 answer:

USPshnik [31]3 years ago

7 0

The greatest common factor of those numbers is 8.

You might be interested in

amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber ha

charle [14.2K]

For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.

Your information:
I = (870)(0.08)(5)
I = 348

Add the interest to the principal for your total balance

348 + 870 = $1218 will be the total balance in the account.

4 0

3 years ago

Leno4ka [110]

Answer:

$\frac{s^2-25}{(s^2+25)^2}$

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

$F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s)$ .

Solving for F(s) on the last equation, $F(s)=\frac{s}{s^2+25}$ , then the Laplace transform we were searching is $-F'(s)=\frac{s^2-25}{(s^2+25)^2}$

3 0

3 years ago

A team of 15 workers picked 1,050 apples. Each person picked the same number of apples. How many did each worker pick?

GarryVolchara [31]

Answer:

70 apples

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

4 0

3 years ago

Let the positive numbers a, b, c. Prove that <img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2013%7D%2Bb%5E%7B2013%7D%2Bc%5E%

Serggg [28]

Answer:

I don't need to prove it, I already believe you

7 0

3 years ago

The difference between three times a number and 15 is equal to 6. Find the number

andreyandreev [35.5K]

15+6=21
21÷3=7
answer
3×7-15=6

5 0

4 years ago

GCF of 30 48 and 72​

GCF of 30 48 and 72