Answer:
1. both boxes 3
2. both boxes 7
3. both boxes 5
4. both boxes 2
5. top box 12 bottom 18
6. top box 9 bottom box 11
7. top box 42 bottom box 60
8. top box 4 bottom box 5
There is a 1/2 chance that he will get at least one of the two features.
There are 3 x 4 = 12 possibilities. There are all 4 colors of each 3 sizes.
All 4 of the medium trucks have one of the features.
For the other 2 sizes, only the red truck will have one of the features.
There are 4 + 2 = 6 possibilities out of 12 for a chance of 6/12 or 1/2.
Answer:
a. 2.2 m
b. 8 m
Step-by-step explanation:
4) a. Sin 32 = x/4
= (sin 32)(4) = x
b. Cos 65 = 4.5/x
x = 4.5/Cos 65
Answer:

Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:

A function has the form: (x,y)
Where
y = range:
From the coordinate points above,

Order from least to greatest"

Hence, the range are: 
Answer:
See Explanation.
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra II</u>
- Log/Ln Property:

<u>Calculus</u>
Derivatives
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Derivative of Ln: ![\frac{d}{dx} [ln(u)] = \frac{u'}{u}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bln%28u%29%5D%20%3D%20%5Cfrac%7Bu%27%7D%7Bu%7D)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Differentiate</u>
- Rewrite:

- Rewrite [Ln Properties]:

- Differentiate [Ln/Chain Rule/Basic Power Rule]:

- Simplify:

- Rewrite:

- Combine:

- Reciprocate:

- Distribute:
