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andrew-mc [135]
3 years ago
14

Which equation shows the inverse property of multiplication?

Mathematics
2 answers:
serg [7]3 years ago
4 0
B is the correct answer to the following questions and
krek1111 [17]3 years ago
4 0

The answer is C. - 2*1/2=3

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[25 POINTS] A cylinder has a volume of 400π cm3. Find the dimensions that minimize its surface area.
miss Akunina [59]

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: SA=2\pi rh+2\pi r^2

Volume: V=\pi r^2h

Therefore, the height of a cylinder given its volume would be h=\frac{V}{\pi r^2}, thus:

SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r

0=-\frac{800}{r^2}+4\pi r

0=800\pi+4\pi r^3

-800\pi=4\pi r^3

-200=r^3

r\approx5.848

If 0If [tex]r>5.848, then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is r=5.848cm, making the minimum height h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm.

In conclusion, the 2nd option is correct.

3 0
3 years ago
FORTY WHOLE POINTS FOR U AND THANKS AND BRAINLIEST AND 5 STARS PLEASE I NEED THIS IM CONFUSED IDK SLOPE IM NOT GOOD AT MATH I NE
loris [4]

Answer:  b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help: What is 4 1/4 divided by 3/4 equal?
Solnce55 [7]
4/3 because I typed in on my calculator
7 0
3 years ago
To make 100g of jam you need 23g of strawberries, 51g of blackberries and the rest should be
Gelneren [198K]
More explain please?????
8 0
3 years ago
The body weight of a healthy 3 month-old colt should be about μ = 60 kg. (Source: The Merck Veterinary Manual, a standard refere
tatuchka [14]

Answer:

a

  The null hypothesis will be  H_o : \mu = 60 \ kg

b

  The alternative hypothesis will be  H_a : \mu <  60

c

  The alternative hypothesis will be  H_a : \mu >  60

d

  The alternative hypothesis will be  H_a : \mu \ne   60

e

  left; right; both

Step-by-step explanation:

Considering question a

    The body weight of the colt is  \mu = 60 \ kg

    The null hypothesis will be  H_o : \mu = 60 \ kg

Considering question b

    Given that we want to test the claim that the average weight of a wild Nevada colt is less than 60 kg , then

The alternative hypothesis will be  H_a : \mu <  60

Considering question c

       Given that we want to test the claim that the average weight of such a wild colt is greater than 60 kg , then

The alternative hypothesis will be  H_a : \mu >  60

Considering question d

   Given that we want to test the claim that the average weight of such a wild colt is different from 60 kg , then

The alternative hypothesis will be  H_a : \mu \ne   60

Considering question e

   For question b  , the corresponding p-value will be on the left because the average weight is less than 60 kg

   For question c  , the corresponding p-value will be on the right  because the average weight is more than 60 kg

   For question d  , the corresponding p-value will be on both  because the average weight is different from  60 kg

5 0
3 years ago
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