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3 years ago

Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Answer:

y = 5x - 2

Step-by-step explanation:

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

lyudmila [28]

$f(\theta)=10\cos\theta+5\sin^2\theta$

then the derivative is

$f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta$

Critical points occur where $f'(\theta)=0$ . This happens for

$-10\sin\theta+10\sin\theta\cos\theta=0$

$-10\sin\theta(1-\cos\theta)=0$

$\implies-10\sin\theta=0\text{ or }1-\cos\theta=0$

In the first case, we find

$-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi$

In the second,

$1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi$

So all the critical points occur at multiples of $\pi$ , or $n\pi$ . (This includes all the even multiples of $\pi$ .)

3 0

3 years ago

In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are

kenny6666 [7]

Answer:

0.194

Step-by-step explanation:

Probability that BOTH are democrats means probability of "one being democrat" AND "another also being democrat".

The AND means we need to MULTIPLY the individual probability of a person being democrat.

Probability that a voter is democrat is 44% (0.44) -- stated in the problem

Now, Probability BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

$0.44*0.44=0.1936$

Rounded to nearest thousandth, 0.194

Last answer choice is correct.

6 0

2 years ago

Which expression is equivalent to 3/4(x-5y) please help!!!

irakobra [83]

Step-by-step explanation:

I think that is the right answer I hope ut helps

8 0

3 years ago

What is the arc measure of arc AB on circle P in degrees?

Nastasia [14]

Answer:

measure of arc AB = 74°

Step-by-step explanation:

360 - 286 = 74

6 0

3 years ago

Solve for y. py + qy = -4y + 8 y =

Elanso [62]

Answer:

y=8/(p+q+4)

Step-by-step explanation:

py+qy=-4y+8

Collect all terms containing y together

Py+qy+4y=8

Factor out y

y(p+q+4)=8

Divide both sides by (p+q+4)

y(p+q+4)/(p+q+4)=8/(p+q+4)

y=8/(p+q+4)

3 0

3 years ago

Read 2 more answers