Answer:
65
Step-by-step explanation:
(4-7i)(4+7i) =16 + 28i-28i -49i^2 ➡16 - 49i^2
16 + 49 = 65
the fault here is i^2= -1 and -1 multiplied by -49 is +49 not -49
Answer:
I believe the answer is b
Step-by-step explanation:
Answer:
The height of the prism measures 22 meters
The volume of the prism measures 10,890 cubic meters.
Step-by-step explanation:
The height is twice the width of the prism.
The prism's width is 11 meters.
2 x 11 = 22
The volume of a rectangular prism is calculated as:
V = l x w x h
So, the volume is:
V = 45 x 11 x 22
The volume is 10,890 cubic meters.
Hope this helps!
The price p based on the equation given is p = 3000 - 0.1x.
<h3>How to express the price?</h3>
The equation given in the question is x = 3000 - 10p. The price(p) will be:
x = 3000 - 10p.
Make p the subject of the formula
x + 10p = 3000
10p = 3000 - x
p = (3000 - x)/10
p = 3000 - 0.1x
The revenue will be price multiplied by quantity. This will be:
= (3000 - 0.1x) × x
= 3000x - 0.1x²
The marginal revenue will be calculated after differentiating. This will be:
= 3000x - 0.1x²
= 3000 - 0.2x
The demand which is the quantity based on the information will be:
3000 - 0.2x = 0
0.2x = 3000
x = 1500
Learn more about demand on:
brainly.com/question/1245771
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Answer:
=39.42857143 miles per hour
Step-by-step explanation:
To find the average speed, we need to the total distance and the total time
Distance 1
45 miles for 2 hours
45*2 = 90 miles
Distance 2
90 minutes * 1 hour/60 minutes = 1.5 hours
32 miles * 1.5 hours =48 miles
The total distance = 90+48 = 138 miles
The total time = 2 +1.5 = 3.5 hour
The average speed = total distance/ total time
= 138/3.5
=39.42857143 miles per hour
