You can reduce the first one by combining the ab and the ba term
Answer:
5
Step-by-step explanation:
150/30 = 15/3 = 5
Good luck!
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
Answer:
Equation: 65+1.50m=78.50
Solution to the equation= 9 minutes
Step-by-step explanation:
The parents have to give 65 dollars for their children to be under care till 6 o'clock. AFter 6 o'clock, they had to pay 1.50 dollars for one minute. This parent gives a total of 78.50 dollar for that day. So, the equation is :
65+1.50m=78.50
(btw, m stands for minutes)
So to solve the equation:
1.50m=13.50
m= 9
Answer:
12 square inches.
Step-by-step explanation:
Please consider the complete question.
A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.
The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.
The area of the sail will be equal to area of triangle.
Therefore, the area of the sail is 12 square inches.
