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3 years ago

The initial number of views for a reader board was 25. The number of views is growing exponentially at a rate of 18% per week.

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

7 0

I think the number is 30. Hope this works. Good luck!

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Indefinite integral need help pleaseeeeeee

tatiyna

Integrate indefinite integral:
$I=\int\frac{dx}{e^{2x}+3e^x+2}dx$

Solution:
1. use substitution $u=e^x$
=>
$du=e^xdx$
=>
$dx=\frac{du}{e^x}$
=>
$dx=\frac{du}{u}$
=>
$I=\int\frac{du}{u(u^2+3u+2)}du$
$=\int\frac{du}{u(u+2)(u+1)}du$
2. decompose into partial fractions
$\frac{1}{u(u+2)(u+1)}$
$=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}$
where A=1/2, B=1/2, C=-1
$=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}$
3. Substitute partial fractions and continue
$I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}$
$=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}$
4. back-substitute u=e^x
$=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$
$=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$

Note: log(x) stands for natural log, and NOT log10(x)

7 0

2 years ago

Can someone please help me, I don’t get this

leonid [27]

Answer:

Sure Amaya , the grouping is the parenthesis, right?

Step-by-step explanation:

so just add up.. the things outside of the parenthesis

- $4^{2}$ * 4

so exponents come first in the order of what to do... right?

$4^{2}$ =16 okay , got that part, the next part is

16 * 4 = 64 okay got that part, now

- 64 is what is subtracted from the grouping , got it?

4 0

3 years ago

A car is traveling at a speed of yy miles per hour. Which situation would be described by the expression 1.2y1.2y? the speed of

kotykmax [81]

Answer:
<span>the speed of the car after it is increased by 20%
</span>
Explanation:
We are given that the speed of the car is y miles per hour.
Now, 1.2y can be expressed as follows:
1.2y = y + 0.2 y
which is equivalent to:
1.2y = y + 20%y

Since y is the speed, based on the above, we can infer that the speed of the car increased by 20%

Hope this helps :)

5 0

3 years ago

Five thousand two hundred sixty-seven. standard form

Sati [7]

Answer:

5,267

Step-by-step explanation:

Five thousand: 5,000

Two hundred: 200

Sixty: 60

Seven: 7

Put them together: 5,267

3 0

3 years ago

Read 2 more answers

1 - 2³ - 3² 1 please answer correctly please

Bas_tet [7]

Answer:

-16

Step-by-step explanation:

1 - 8 - 9 = - 16

8 0

2 years ago