Because we are finding the lowest point of the rope we have to minimize the equation h=0.01x2-x+27<span>. We first have to find the derivative of the equation which would be h’=0.02x-1 then find the value of x when h’=0, which is x=50. Using this value to substitute for x in the original equation, we find that the lowest point of the rope is only 2 inches above ground.</span>
Solution:
The interior angles of a triangle sum up to 180°
<u>This means that...</u>
<u>Simplify the distributive property.</u>
<u>Combine like terms.</u>
- 3x + (6 + 52 + 35) = 180
- => 3x + (93) = 180
<u>Subtract 93 both sides.</u>
- 3x + (93) = 180
- => 3x + 93 - 93 = 180 - 93
<u>Simplify both sides.</u>
<u>Divide 3 both sides.</u>
- => 3x/3 = 87/3
- => x = 87/3 = 29
Answer:
d. 13.5, 20.25
Step-by-step explanation:
An exponential function is monotonic and does not change sign. On this basis alone, the first three choices can be eliminated.
The common ratio is 6/4 = 3/2.
The term in the sequence after 9 is 9·(3/2) = 27/2 = 13.5.
The term in the sequence after 27/2 is (27/2)·(3/2) = 81/4 = 20.25.
I think that the answer would be B) $5,000
Answer:
64 hope it helps
Step-by-step explanation: