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11111nata11111 [884]
3 years ago
14

Here are 10 test scores: 30, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these scores is 74.

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0
We add up all those numbers (excluding 30) and divide by the number of numbers (9). This results in 78.8 (round up to 79).

79-74 = 5. So the mean has increased by 5 points. (C)
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3 years ago
What is the derivative of g(x)=e^(x^2+2x)+3x
UNO [17]
Ok first we can split it in two : e^{x^2+2x} and 3x.

The derivative of 3x is 3.

For the first part, we use the chain rule : [f(g(x))]'=g'(x)f'(g(x)) hence (e^{x^2+2x})'=(x^2+2x)'e^{x^2+2x} (since the derivative of the exponential is itself) hence g'(x)=(2x+2)e^{x^2+2x}+3
7 0
3 years ago
Read 2 more answers
2m+1 _2m÷2m:simplify​
denis-greek [22]

Simplify the <u>expression</u>.

2m

4 0
2 years ago
Please help please help
gogolik [260]
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4 0
3 years ago
Solve the equation. StartFraction dx Over dt EndFraction equals StartFraction 1 Over x e Superscript t plus 7 x EndFraction An i
MAVERICK [17]

Answer:

\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

Step-by-step explanation:

We are given that

\frac{dx}{dt}=\frac{1}{xe^{t+7x}}

We have to find the implicit function

Using separation variable method

\frac{dx}{dt}=\frac{1}{xe^t\cdot e^{7x}}

By using property x^a\cdot x^y=x^{a+y}

xe^{7x}dx=e^{-t}dt

By using property \frac{1}{x^a}=x^{-a}

Taking integration on both sides

\int xe^{7x}dx=\int e^{-t}dt

Parts integration method

\int u\cdot v dx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx

By parts integration method

x\int e^{7x}dx-\int (\frac{dx}{dx}\int e^{7x}dx)dx=-e^{-t}+C

Using formula \int e^{ax} dx=\frac{e^{ax}}{a}+C

\frac{xe^{7x}}{7}-\frac{1}{7}\int e^{7x}dx=-e^{-t}+C

\frac{xe^{7x}}{7}-\frac{1}{49}e^{7x}+e^{-t}=C

\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

We are given that

F(x,t)=C

F(x,t)=\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

8 0
3 years ago
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