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Nina [5.8K]
3 years ago
12

The volume of a cylinder is 252pi cm^3 and its height is 7 cm

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answer:

Step-by-step explanation:

volume= (pi)(radius^2)(h)

252(pi)=(pi)(radius^2)(7)

divide both sides by pi

252=(radius^2)(7)

divide both sides by 7

36=(radius^2)

square root each side

6=radius

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Can someone please help? i’ll mark brainliest!!
Liono4ka [1.6K]

Answer:

z+5 z+2 Z i think

Step-by-step explanation:

the lenght is longer to shorter

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2 years ago
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Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,
Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x[/tex]

Now we change the variables.

F(x)=log x-\frac{2}{3}

F(x) and g(x) are not inverse functions.

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2 years ago
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Fynjy0 [20]

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(3x³ + 2x - 3) - (4x³ - x² + x)<br> please just give the answer
natka813 [3]

Answer:

- x³ + x² + x - 3

Step-by-step explanation:

(3x³ + 2x - 3) - (4x³ - x² + x)

3x³ + 2x - 3 - 4x³ + x² - x

3x³ - 4x³ + x² - x + 2x - 3

- x³ + x² + x - 3

<u>-TheUnknown</u><u>Scientist</u>

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A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence inter
jasenka [17]

Answer:

The 80% confidence interval for the mean

(4.6199 , 4.7801)

Step-by-step explanation:

<u>Explanation</u>:-

Assuming that the population standard deviation for the number of energy drinks consumed each week is 1

Given the Population standard deviation 'σ' = 1

The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7

given sample size 'n' = 256

mean of the sample 'x⁻' = 4.7

<u>confidence interval for the mean</u>

The 80% confidence interval for the mean is determined by

(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\alpha }\frac{S.D}{\sqrt{n} } )

the z-score of 80% level of significance = 1.282

(4.7 - 1.282\frac{1}{\sqrt{256} } , 4.7 + 1.282\frac{1}{\sqrt{256} } )

(4.7 - 0.0801 , 4.7 +0.0801)

(4.6199 , 4.7801)

<u>Conclusion</u>:-

The 80% confidence interval for the mean

(4.6199 , 4.7801)

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