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Oduvanchick [21]

3 years ago

8

Find dimensions of the rectangular box of maximum volume that can be inscribed in a sphere of radius a?

1 answer:

ivolga24 [154]3 years ago

4 0

This is an optimization calculus problem where you would need to know a little bit more about the box, atleast i would think. You would just need to use the volume equation of a sphere as the restrictive equation in the optimization problem. Perhaps there is a way to solve with the given information, but i do not know how to.

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For a given function f(x), the domain is (-[infinity],-2] and the range is (5,[infinity]). What is the correct domain and range

Serga [27]

Answer:

Domain of the inverse is (5, infinity)

Range of the inverse is (-infinity , -2)

Step-by-step explanation:

To find the domain of the inverse function, we have that;

The range of the function becomes the domain of the inverse

The domain of the function becomes the range of its inverse

so the domain is (5, infinity)

range is (-infinity, -2)

6 0

2 years ago

Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

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3 years ago

I really need help who can help me?

Gelneren [198K]

Yes
Y varies directly with x, it is a direct relationship between the two.

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Fahrenheit . The freezing point of water in degrees celsius is zero while in degrees fahrenheit it is 32

EastWind [94]

That is correct?

Dunno what the question is.

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3 years ago

What is the missing reason in the proof?

spayn [35]

Perpendicular bisector theorem

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3 years ago

Read 2 more answers