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Lana71 [14]
3 years ago
15

Which expression is equivalent to

Mathematics
2 answers:
Aneli [31]3 years ago
6 0
<h3> ♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 5 is multiplied by itself giving this value:

5^{6}

However, the 3 isn't involved with the exponents so the answer would be:

3(5)^{6}

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Mice21 [21]3 years ago
6 0

Answer:

C) 3(5)^6

Step-by-step explanation:

Note the amount of 5's inside the expression and 3's inside the expression.

In the given expression (3 x 5 x 5 x 5 x 5 x 5 x 5), there are 6 5's and 1 3's.

Note that, when changing multiplication into powers, the amount of the same number multiplied together will equal the number you put as a power. For example:

5 x 5 = 5²

5 x 5 x 5 = 5³

In this case:

5 x 5 x 5 x 5 x 5 x 5 = 5^6

Note that there is still a 3 multiplied inside the expression, and so remember to keep it in the answer.

3(5)^6, or C) is your answer.

~

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Reg is visiting the united states and needs to convert 2,000 rupees to US dollars
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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}

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3 years ago
Evaluate the following expression when x = 31 and y = 28.<br> 3(x-7)3 + 128 - 35
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I hope this is correct

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