Answer:
the domain of the function = [0,12]
Step-by-step explanation:
Given that:
f(t) = 60 t - 5t²
at time t = 0
f(0) = 60 (0) - 5(0)²
f(0) = 0
the differential of f(t) is:
f(t)' = 60 - 10t
for the maximum height
f'(t) = 0
i,e
60 - 10t = 0
60 = 10t
t = 60/10
t = 6
Now, t = 6,
f(6) = 60(6) - 5(6)²
f(6) = 360 - 180
f(6) = 180
Hence, after 6 seconds, the stone is noticed to have raise to 180 m and 180 m drop after 6 seconds.
Hence, the domain of the function = [0,12]
Working:
Area of the rectangle= 12 x 4 =
48cm^2Area of the semicircles=
x 2² =
12.56cm^2
48+12.56= 60.56
Answer: 60.56cm²
Answer:
It is multiplied by and reflected about the y-axis.
Step-by-step explanation:
In order to transform the graph of into the graph , we have to multiply it by so that it becomes .Then we have to reflect it over the y-axis, and we do this by multiplying its domain by -1. This gives us .
Answer:
43.496
Step-by-step explanation:
When going from kilometers to miles, divide the length in kilometers by 1.609. When we do that, we get 43.496.
Squared feet is basically area. A=lxw. A=18 1/5 X 8 2/5. Make both fractions improper: 91/5 X 42/5 = 3822/25. Since he painted half the wall multiply by 1/2: 76 22/50. Simplify: 76 11/25 square feet will be painted :) I hope this helps!