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TiliK225 [7]
3 years ago
5

The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent decrease in the fee?

Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

The percentage of decrease is approximately 0.14%.

Step-by-step explanation:

35 - 5 = 30

What percentage is 5 of 35 (x/100 = is/of)

x/100 = 5/35 (cross multiply)

(5*100)/35 = 14.29%

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Find the indefinite integral ∫((x^2)/(4x^3+9)) dx
Leya [2.2K]

Answer:

\displaystyle  \frac{1}{12}   \ln( |{4x}^{ 3}  + 9|)  +  \rm C

Step-by-step explanation:

we would like to integrate the following indefinite integral:

\displaystyle \int  \frac{ {x}^{2} }{4 {x}^{3}  + 9} dx

in order to integrate it we can consider using u-substitution also known as the reverse chain rule and integration by substitution as well

we know that we can use u-substitution if the integral is in the following form

\displaystyle \int f(g(x))g'(x)dx

since our Integral is very close to the form we can use it

let our u and du be 4x³+9 and 12x²dx so that we can transform the Integral

as we don't have 12x² we need a little bit rearrangement

multiply both Integral and integrand by 1/12 and 12:

\displaystyle  \frac{1}{12} \int  \frac{ 12{x}^{2} }{4 {x}^{3}  + 9} dx

apply substitution:

\displaystyle  \frac{1}{12} \int  \frac{ 1}{u} du

recall Integration rule:

\displaystyle  \frac{1}{12}   \ln(|u|)

back-substitute:

\displaystyle  \frac{1}{12}   \ln( |{4x}^{ 3}  + 9|)

finally we of course have to add constant of integration:

\displaystyle  \frac{1}{12}   \ln( |{4x}^{ 3}  + 9|)  +  \rm C

and we are done!

6 0
3 years ago
What is the value of x?<br> (The diagram)..
telo118 [61]

10

Step-by-step explanation:

x + 5 = 2x - 5

x + 5 <u>- x </u>= 2x - 5 <u>- </u><u>x</u>

5 = x - 5

5 + 5 = x

<u>10 = x</u>

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Andre45 [30]
This can be solved using the formula for t test which is = x - mu over standard deviation divided by the square root of the number of samples. In this case, it is 1185 - 1200 over 70 divided by square root of 100 which give us a value of 2.14 which is equal to .9839 in area. Only rarely, just over one time in a hundred tries of 100 light bulbs, would the average life exceed 1200 hours.
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4 years ago
Complete the table of values for the equation: y= |x|-2
Tanya [424]

Answer:

To complete the given table we have to evaluate the given values of x in the function y=|x|-2.

The table is as follows:

The graph of the function is:

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The table represents some points on the graph of a linear function.
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Answer:

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