If 10% of a number is 44, 5% of the number is

Mathematics

1 answer:

inn [45]3 years ago

5 0

Answer:

Step-by-step explanation:

I hope this helps <3

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Prove that the value of the expression : 38^9–38^8 is divisible by 37

xenn [34]

$38^9-38^8 =38^8(38-1)=38^8\cdot37$

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4 years ago

Find dy/dx and d2y/dx2. x = cos(2t), y = cos(t), 0 < t < π

pogonyaev

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

$y=\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=-\sin t$
$x=\cos2t\implies\dfrac{\mathrm dx}{\mathrm dt}=-2\sin2t=-4\sin t\cos t$
$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{-\sin t}{-4\sin t\cos t}=\dfrac14\sec t$

Let $z=\dfrac{\mathrm dy}{\mathrm dx}$ . Then

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}=\dfrac{\frac{\mathrm dz}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$
$\implies\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac{\mathrm d}{\mathrm dt}\left[\frac14\sec t\right]}{-4\sin t\cos t}=\dfrac{\frac14\sec t\tan t}{-4\sin t\cos t}=-\dfrac1{16}\sec^3t$

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4 years ago

Expand the following 1/6 (18x-24)

monitta

Hello,

What we want to do is multiply 1/6 by each value within the parentheses individually.

So, it would be:
(1/6) * (18x) = 3x
(1/6) * (-24) = -4

Together, this would be 3x-4.

Hope this helps!

4 0

3 years ago

Read 2 more answers

I'll mark the correct answer brainliest!

sveta [45]

The perimeter of the larger octagon would be 238 units. This is because the given side is multiplied by 7, so if you do this to all sides and then add them up, you get 238. To check, you can divide 238 by 34 and get 7.

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3 years ago

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1. Find the perimeter of the figure. Each unit is 1 centimeter

Oxana [17]

Answer:

Step-by-step explanation:

count the sides of the boxes for each side of the shape

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3 years ago