3 years ago

What’s the answer? (picture)

Mathematics

1 answer:

Tems11 [23]3 years ago

3 0

I think it would be B i’m sorry if it’s wrong have a good day!

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Find the length of the arc of the circular helix with vector equation r(t) = 2 cos t i + 2 sin t j + tk from the point (2, 0, 0)

USPshnik [31]

$\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath+t\,\vec k$

$\implies\vec r'(t)=-2\sin t\,\vec\imath+2\cos t\,\vec\jmath+\vec k$

$\implies\|\vec r'(t)\|=\sqrt{(-2\sin t)^2+(2\cos t)^2+1^2}=\sqrt5$

Then the length of the arc is

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3 years ago

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Gnesinka [82]

The value of K for which f(x) is a valid probability density function is 1/4.

<h3>How to solve for the value of K</h3>

$\int\limits^4_0 {fx(x)} \, dx =1$

$\int\limits^2_0 {Kx} \, dx +\int\limits^4_2 {K(4-x)} \, dx =1$

$K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1$

open the equation

$K\frac{4}{2}+K[8 - (\frac{16}{2} -\frac{4}{2} )] = 1\\$

$2K+K[\frac{4}{2} ]=1$

2K + 2K = 1

4K = 1

divide through by 4

K = 1/4

Read more on probability density function here

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1 year ago

Given The following Graph:<br><br> a.)Evaluate f(0). <br> b.) Solve for f(x) = -3

dlinn [17]

Answer:

see explanation

Step-by-step explanation:

f(0) means find the value of y when x = 0

That is f(0) = 1 ← the point (0, 1) on the graph

When f(x) = - 3 means what are the values of x corresponding to y = - 3

From the graph when y = - 3 there are 2 corresponding values of x, that is

x = - 2 or x = + 2

The solution to f(x) = - 3 is x = ± 2

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4 years ago

Jim's monthly salary is $1,079.40. His monthly job hours are 140. What is his hourly rate of pay?

alex41 [277]

I'm guessing 7.71

Step-by-step explanation:

1,079.40/140

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3 years ago

Jasmine saves $46 each month from her part-time job. She saves 2/5 of her earnings. Her earnings a can be found by using the equ

ludmilkaskok [199]

Answer:

$115 is the correct answer please mark me as brainliest

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