Answer: 8
Step-by-step explanation:
Since AB is a tangent, angle CAB is a right angle. Thus, by the Pythagorean theorem, 
42-14= 28
28÷2=14
answer: there are 14 females in the class and 28 males in the class
Check:14+28=42
9 1/2 = 19/2
(29/5) / (19/2)
When changing division to multiplication, flip the number (right hand side).
(29/5) * (2/19)
58/95
Answer: Choice D

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Explanation:
Let g(t) be the antiderivative of
. We don't need to find out what g(t) is exactly.
Recall by the fundamental theorem of calculus, we can say the following:

This theorem ties together the concepts of integrals and derivatives to show that they are basically inverse operations (more or less).
So,

From here, we apply the derivative with respect to x to both sides. Note that the
portion is a constant, so 
![\displaystyle F(x) = g(x^2) - g(\pi)\\\\ \displaystyle F \ '(x) = \frac{d}{dx}[g(x^2)-g(\pi)]\\\\\displaystyle F\ '(x) = \frac{d}{dx}[g(x^2)] - \frac{d}{dx}[g(\pi)]\\\\ \displaystyle F\ '(x) = \frac{d}{dx}[x^2]*g'(x^2) - g'(\pi) \ \text{ .... chain rule}\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%28x%29%20%3D%20g%28x%5E2%29%20-%20g%28%5Cpi%29%5C%5C%5C%5C%20%5Cdisplaystyle%20F%20%5C%20%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%5E2%29-g%28%5Cpi%29%5D%5C%5C%5C%5C%5Cdisplaystyle%20F%5C%20%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%5E2%29%5D%20-%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28%5Cpi%29%5D%5C%5C%5C%5C%20%5Cdisplaystyle%20F%5C%20%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E2%5D%2Ag%27%28x%5E2%29%20-%20g%27%28%5Cpi%29%20%5C%20%5Ctext%7B%20....%20chain%20rule%7D%5C%5C%5C%5C)

Answer is choice D
Answer:
Yes
6(x+0.4) is equivalent to 3(2x+0.8)
Step-by-step explanation:
Given in the questions two expressions
6(x + 0.4)
3(2x + 0.8)
We will apply distributive law
It is a law relating the operations of multiplication and addition, stated symbolically
<h3>a(b + c) = ab + ac</h3><h3 />
6(x + 0.4)
= 6(x) + 6(0.4)
= 6x + 2.4
3(2x + 0.8)
= 3(2x) + 3(0.8)
= 6x + 2.4
Since both equations when expanded have same answers, hence they are equivalent