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Troyanec [42]
3 years ago
7

Solve for the h: V= 1/3 π r^2 h

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0

Answer:

H = 3V/πr^2   V ∈ ℝ, r ∈ ℝ

Step-by-step explanation:

multiply both sides

swap the sides

and then write in parametric form

hope this helps!

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How do I solve this using the substitution method for finding anti derivatives?
rewona [7]
A bit blurry, but if I'm making it out correctly, that's

\displaystyle\int t\sqrt{(t^2-9)^3}\,\mathrm dt=\int t(t^2-9)^{3/2}\,\mathrm dt

Set u=t^2-9. Then \mathrm du=2t\,\mathrm dt, or t\,\mathrm dt=\dfrac{\mathrm du}2. The integral is then equivalent to

\displaystyle u^{3/2}\dfrac{\mathrm du}2=\frac12\int u^{3/2}\,\mathrm du
=\dfrac12\dfrac{u^{5/2}}{\frac52}+C
=\dfrac12\times\dfrac25u^{5/2}+C
=\dfrac15u^{5/2}+C
=\dfrac15(t^2-9)^{5/2}+C
6 0
3 years ago
select the domain and range, then determine if the relation is a function R= {(7,5), (2,0), (1,-1), (-5,-1), (2,6)}​
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Answer:

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grin007 [14]

Answer:

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Step-by-step explanation:

Calculator

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3 years ago
Explain the effect level of significance and sample size have on hypothesis testing results. Provide an example and explain how
Scorpion4ik [409]

Solution :

The level of significance refers to the probability of the null hypothesis that may be rejected in the study by the observer. As the sample size increases, the p value also increases but the significance remains same. When the sample size increase and becomes large, the null hypothesis can be rejected more easily.

The business decisions are taken defending the significance level of the statistical validation in cases of uncertainty. Suppose the null hypothesis is the sales after the marketing campaigning remains same. The company will launch the marketing campaign when the confidence level is 95% so that after the campaign the sales will increase. It means that the significance level must be high enough for rejecting null hypothesis of sales post of the marketing campaign that remains same.

When the sample size increases, the sensitivity of hypothesis increases, and for a large sample, the hypothesis may be rejected even though it is true.  

4 0
3 years ago
Identify the parent function that can be used to graph the function f(x) = - 3x +2
Nat2105 [25]

Answer:

f(x)=x

Step-by-step explanation:

We are given with the function f(x) = -3x+2

we have been asked to find the parent function?

As we can see there are two kinds of Tranformation applied here

f(x)+b and f(-ax)

So Here the parent function is f(x)=x

Using the above two mentioned transformations the parent f(x)=x has been converted to f(x) = -3x+2

Hence the parent Function is f(x)=x

6 0
3 years ago
Read 2 more answers
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