Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)
If certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. The amount it cost to run this refrigerator for one year if the cost per kWh is $0.11 is: $53.856.
<h3>Cost</h3>
Given:
Electricity watts = 170 watts
Minutes run = 20 minutes
Cost per KWh =$0.11
Hence,
170 watts = 1.7×10^-1
20 min = 1/3 h
Now let calculate the cost of running the refrigerator for one year
1.7×10^-1 × 1/3 × 24 ×360 × $0.11
= $53.856
Therefore If certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. The amount it cost to run this refrigerator for one year if the cost per kWh is $0.11 is: $53.856.
Learn more about watts here: brainly.com/question/25781540
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Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = 
Cosθ = 
tanθ = 
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = 
θ = 
Option (A) will be the answer.
The answer is 16
And also , can people please stop posting did you get the answer yet, just so you could get the points. They only take two answers, and that's a waste of somebody who could've answered or helped.
