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neonofarm [45]
3 years ago
14

Y varies directly as x . If x = 6 then y = 18. Find the constant of variation.

Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

<u>Answer</u>

3


<u>Explanation</u>

Y varies directly as x

Y ∝ x Inserting constant of variation, k,

Y = kx

k = Y/x

  = 18/6

  = 3

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What is 0.42857142857 as a fraction?
inna [77]

Answer:

What is 0.42857142857 as a fraction?

To write 0.42857142857 as a fraction you have to write 0.42857142857 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.42857142857 = 0.42857142857/1 = 4.2857142857/10 = 42.857142857/100 = 428.57142857/1000 = 4285.7142857/10000 = 42857.142857/100000 = 428571.42857/1000000 = 4285714.2857/10000000 = 42857142.857/100000000 = 428571428.57/1000000000 = 4285714285.7/10000000000 = 42857142857/100000000000

And finally we have:

0.42857142857 as a fraction equals 42857142857/100000000000

3 0
4 years ago
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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
A. 14 more than a number x.​
AURORKA [14]

Answer:

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Step-by-step explanation:

14 + x

Hope it helps.

5 0
3 years ago
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Help i cant figure this out:(
stealth61 [152]

Answer:

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answers in order

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Step-by-step explanation:

8 0
3 years ago
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Answer:

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3 years ago
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