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3 years ago

PLEASE ANSWER!!! You don’t have to do number 25 *****

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The directed lines have the form < x, y >

With the usual notation

right in x- direction → +

left in x- direction → -

up in y- direction → +

down in y- direction → -

EF = < 4, 1 >

FG = < 4, - 2 >

GH = < - 4, - 2 >

EH = < 4, - 3 >

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The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her sch

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Answer:it B I think

Step-by-step explanation:

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3 years ago

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PLEASE HELP: The mass of a ball is 128 g. It has a density of 0.5 g/cm³. What is the volume of the ball? Show your work and plac

tiny-mole [99]

Answer:

Part 1) The volume of the ball is 256 cm³

Part 2) The radius of the ball is 3.94 cm

Step-by-step explanation:

Part 1) we know that

The density is equal to divide the mass by the volume

D=m/V

Solve for the volume

The volume is equal to divide the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

Part 2) what is the radius of the ball?

we know that

The volume of the sphere (ball) is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=256\ cm^{3}$

assume

$\pi =3.14$

substitute and solve for r

$256=\frac{4}{3}(3.14)r^{3}$

$768=(12.56)r^{3}$

$r^{3}=768/(12.56)$

$r=3.94\ cm$

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3 years ago

I need help. The question is in the picture

Rudik [331]

Answer: In attached

Step-by-step explanation:

Use the given functions to set up and simplify

Attachment has your answer.

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3 years ago

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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

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

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

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

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

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3 years ago

3(4a + 2) = 2(a - 2)?

Likurg_2 [28]

Answer:

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Step-by-step explanation:

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3 years ago