Answer:
the profit will be $172
Step-by-step explanation:
The function given is:
p(x) = 2(x-9)^2 + 100
Where x is the price of the each shirt.
if each shirt is sold for $15, hen x = 15.
the profit will be:
p(15) = 2(15-9)^2 + 100
p(15) = 2(6)^2 + 100
p(15) = 2(36) + 100
p(15) = 72 + 100
p(15) = 172
So, the profit will be $172
<em>If the dog could fly, it would need to fly 147 meters to catch the helicopter</em>
This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.
Using pythagoras theorem, we have
120² + 85² = c²
c² = 14400 + 7225
c² = 21625
c = 
c = ±147 meters.
Since distance cant be in the negative, our answer is 147 m
read more about pythagoras theorem here brainly.com/question/15138986
Answer:
Correct answer is: D) a₆ = - 11
Step-by-step explanation:
Given:
a₁ = 9 and aₙ = aₙ₋₁ - 4
We know it is
a₆ = a₅ + d also it is given a₆ = a₅ - 4
When we equate the right sides of equality we get:
a₅ + d = a₅ - 4 => d = - 4
We also know it is a₆ = a₁ + 5 d
Now we will find a₆
a₆ = 9 + 5 (-4) = 9 - 20 = - 11
a₆ = - 11
God with you!!!
Answer:
Step 1: Find f(5/2)
f(5/2) = -23(5/2) + 5
f(5/2) = -115/2 + 5
<em><u>f(5/2) = -105/2</u></em>
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Step 2: Find f(52)
f(52) = -23(52) + 5
f(52) = -1196 + 5
<em><u>f(52) = -1,191</u></em>
