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dezoksy [38]
3 years ago
5

Simplify the expression 112+218

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

330

Step-by-step explanation:

    1

  112

+218

____

  330

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Charlotte reads 8 1/2 pages in 10 minutes. What is her average reading rate in pages per minute?
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Answer:

0.85 pages per minute

Step-by-step explanation:

8 1/2 ÷ 10 = 8.5 ÷ 10 = 0.85

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3 years ago
P = (12, 4) and M = (-8, 8)
Elena-2011 [213]
You can look on the app Socratic to help you.
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The product of 5 and m squared,increased by the sum of the square of m and 5
Harrizon [31]
The product (multiplication) of 5 and m squared (²) increased (addition) by the sum (addition) of the square (²) of m and 5.

(5m²) + (m² + 5)
5 0
3 years ago
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Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).
zzz [600]

Answer:

F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

Step-by-step explanation:

We have given F(S)=\frac{7e^{-7s}}{s^2-49}

Now  F(S)=e^{-7s}G(s)

Here G(S)=\frac{7}{S^2-49}

Now first find the Laplace inverse of G(S)

Using partial fraction

\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}

7=A(S-7)+B(S+7)

On comparing the coefficient

A=\frac{1}{2}  and B=\frac{-1}{2}  

On putting the value of A and B  

G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}

Taking inverse Laplace

G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}

Now in G(s) there is onether term e^{-7s}

So F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

6 0
3 years ago
Ln(1/e^2) without calculator
castortr0y [4]
Once you remember the definition of a log, the answer to this question will literally fall out of your pencil.

First, ' Ln ' means 'natural log' ... logs to the base of ' e '.

Definition of the natural log of a number:
In order to get the number, what power do I have to raise ' e ' to ?

OK.  What power do you have to raise ' e ' to in order to get  1/e²  ?

Isn't  1/e²  the same thing as  e⁻²  ?

So, in order to get  1/e² , you have to raise ' e ' to the  -2  power .

In math-speak:    Ln(1/e²) = <em><u>-2</u></em> .
7 0
3 years ago
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