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3 years ago

What is the result when the number 15 is decreased by 6%?

Mathematics

2 answers:

Tasya [4]3 years ago

6 0

Answer:

It would be 14.1

Step-by-step explanation:

6% of 14 is 0.9, so subtracting that from 15 would leave you with 14.1

IrinaVladis [17]3 years ago

4 0

Answer:

It would be 14.1

Step-by-step explanation:

6% of 14 is 0.9, so subtracting that from 15 would leave you with 14.1

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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

The sum of two numbers is 22, and their difference is 12. What are the numbers?

Shkiper50 [21]

Answer:

the anwser is 10 and 12

8 0

2 years ago

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Find the equation of the line that is perpendicular to y = –4x + 8 and passes though the point (–12, 4). A) y = – 1 4 x + 7 B) y

____ [38]

Answer:

Step-by-step explanation:

perp: 1/4

y - 4 = 1/4(x + 12)

y - 4 = 1/4x + 3

y = 1/4x + 7

answer is C

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3 years ago

It takes a guard 3 hours to walk 12 miles on foot. Another guard travels by horse at a rate of 14 miles per hour. How long will

kotegsom [21]

Answer:

around 50 minutes

Step-by-step explanation:

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3 years ago

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If the zeros of a quadratic functions are -2 and 4, which graph could represent the function?

anygoal [31]

Answer:

The Graph having the X-intercepts of (-2,0) and (4,0)

Step-by-step explanation:

The zeroes of the function is the X-intercept.

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2 years ago