Answer:
A. Because the coefficient of time is negative .
The value of t decreases as time passes .
The temperature of the coffee decreases as time passes and the coffee will evemtually cool down to room temperature
B. At the beginning , t=0
Hence Temperature will be 80 + 120 = 200º
c. He wont be alright . High temperature , less time to cool down . So he wont be alright . Coffee might still be hot .
D. Assuming the temp is 130º
80 + 120ᵅ⁻⁰·⁰⁰⁸ˣ = 130
120ᵅ⁻⁰·⁰⁰⁸ˣ =130-80
120ᵅ⁻⁰·⁰⁰⁸ˣ =50
a-0.008x =(50/120)
0.008x = ln(0.416)
x = 10.962 =11mins
so he has to wait 11 mins to drink.
Answer:
The value of r to have maximum profit is 3/25 ft
Step-by-step explanation:
To find:
The size of the sphere so that the profit can be maximized.
Manufacturing cost of the solid sphere = $500/ ft^3
Selling price of sphere (on surface area) = $30 / ft^2
We see that the manufacturing cost dealt with he volume of the sphere where as the selling price dealt with the surface area.
So,
To maximize the profit (P) .
We can say that:
⇒
⇒
⇒
⇒
Differentiate "" and find the "" value then double differentiate "", plug the "" values from to find the minimum and maximum values.
⇒
⇒
Finding r values :
⇒
Dividing both sides with 240π .
⇒ ⇒
⇒ and
To find maxima value the double differentiation is :
⇒ ...first derivative
Double differentiating :
⇒ ...second derivative
⇒
Test the value r = 3/25 dividing both sides with 240π
⇒
⇒
⇒
It passed the double differentiation test.
Extra work :
Thus:
⇒
⇒
⇒
Finally r =3/25 ft that will maximize the profit of the manufacturing company.
Answer:
1/5
0.2
Step-by-step explanation:
hope it helped:)))))))())
I need you to explain more I just do not get it I want to help you u need to explain it more
Answer:
Steve got 32 points
Step-by-step explanation:
Take the total score and multiply by the percentage received
40 * 80%
Change to decimal form
40 * .80
32
Steve got 32 points