
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>

We have to write in simplest form
<em><u>Use the following law of exponent</u></em>

Using this, simplify the given expression

Thus the given expression is simplified
Answer:
A). 23
Step-by-step explanation:
Answer:

Step-by-step explanation:
From the question we are told that:
Force 1 
Force 2 
Force 3 
Direction 1
Direction 2 
Direction 3 
Generally Resolving forces to X axis is mathematically given by


Generally Resolving forces to Y axis is mathematically given by


Generally the equation for Resultant force R is mathematically given by



Answer:
Step-by-step explanation:
Let x represent the number of hours that that he spent washing cars.
Let y represent the number of hours that that he spent landscaping.
In a week, he can work no more than 19 total hours. This means that
x + y ≤ 19- - - - - - - - - - - -1
Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that
10x + 8y ≥ 170 - - - - - - - - - -2
If Jacob worked 4 hours landscaping, it means that
x + 4 ≤ 19
x ≤ 19 - 4
x ≤ 15
Also,
10x + 8 × 4 ≥ 170
10x + 32 ≥ 170
10x ≥ 170 - 32
10x ≥ 138
10x ≥ 138/10
x ≥ 13.8
The minimum number of hours is 14
Answer:
min = 24 LQ = 27 median = 32 UQ = 37 Max=44