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sergij07 [2.7K]
3 years ago
6

The cost for a certain music plan is $9.99 per year plus $0.25 per song you downloaded. If you paid $113.74 one year, find the n

umber of songs you downloaded
Mathematics
2 answers:
Leviafan [203]3 years ago
8 0
I would first add  9.99 and 0.25 then subtract 113.74-1024 which was total to 9.99 0.25 which would give you your awnser of 123.5
vlabodo [156]3 years ago
3 0
They downloaded 415 songs. You can find this solution if you subtract 9.99 from 113.74 then divide that answer by 0.25
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solniwko [45]
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4 years ago
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erma4kov [3.2K]

Answer:

a

   Since the integral has an infinite discontinuity, it is a Type 2 improper integral

b

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c

  Since the integral has an infinite interval of integration, it is a Type 1 improper integral

d

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Step-by-step explanation:

Considering  a

          \int\limits^4_3 {\frac{x}{x- 3} } \, dx

Looking at this we that at x = 3   this  integral will be  infinitely discontinuous

Considering  b    

        \int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx

Looking at this integral we see that the interval is between 0 \ and  \  \infty which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  c

       \int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx

Looking at this integral we see that the interval is between -\infty \ and  \  \infty which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  d

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3 years ago
What is the inverse of y=pi/2+sin x​
Alekssandra [29.7K]

Answer:

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

Step-by-step explanation:

The given function is

y=\frac{\pi}{2}+\sin x

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x=\frac{\pi}{2}+\sin y

we now solve for y.

x-\frac{\pi}{2}=\sin y

Take the sine inverse of both sides to obtain;

\sin ^{-1}(x-\frac{\pi}{2})=y

Hence the inverse of the given function is;

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

where \frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1

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