T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
3 rolls of carpet
the square footage of 40ft*60ft=2,400
well then you divide it and you would need 3 rolls because the answer is 2.6 and then you would just round up
Answer:
Reason 3: Definition of sine.
Reason 4: Multiplication property of equality
Reason 6: Division property of equality
Answer:
The diameter is 22.92 inches
Step-by-step explanation:
Hello, I can help you with this question
in this case we know the circumference of a circle, and we need to find out the diameter.
let's remember
the radius of a circle can be defined as

also

Step1
replace the value of the circumference of tyler's bike in equation 2 and isolate radius to find radius

Step 2
now, replace the value of radius into equation 1 to find diameter
radius=11.46 in

so, the diameter is 22.92 inches
I really hope it helps, have a great day.
Volume = Length x Width x Height
Volume = 80 x 45 x 12
Volume = 43200 ft³
Cost per cubic foot = $625 000 ÷ 43200
Cost per cubic foot = $14.47
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Answer: $14.47 per cubic foot.
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