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3 years ago

W/4 = -11 please help !!!

Mathematics

1 answer:

Elis [28]3 years ago

3 0

-44 because if u multiply -11 by 4 you get -44 and when divided by 4 you get -11

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Find the volume of this sphere. Round to the nearest tenth. plz help me!!!

raketka [301]

Answer:

523.6 cm^3

Step-by-step explanation:

We know the diameter is 10. The radius is half the diameter, so 10/2=5.

Knowing the radius is 5, we just need to plug it into the formula.

Volume=(4/3)pi5^3

≈523.6

Answer:523.6 cm^3

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3 years ago

You inherit $1000, but spends $8 each day at lunch. How many days until you have $768

schepotkina [342]

Answer:

29 days

Step-by-step explanation:

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3 years ago

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Write the equation of the line that passes through the points (-4,-7) and (8,7). Put your answer in fully reduced point-slope fo

Nikitich [7]

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3 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

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3 years ago

What is the word form of 602107

Tcecarenko [31]

Six hundred two thousand hundred seven.

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