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]
Answer:
The correct option is;
D) 62 in²
Step-by-step explanation:
Here we have from the drawing, the dimensions of the right rectangular prism are;
Height = 2 in.
Width = 5 in
Length = 3 in
Therefore the surface area is found as follows;
Surface area of right rectangular prism = 2 × Height × Width + 2 × Height × Length + 2 × Width × Length
Surface area of right rectangular prism = 2 × 2 × 5 + 2 × 2× 3+ 2 × 5× 3 = 20 + 12 + 30 = 62 in².
Answer:
x = 43 degrees; 2x = 86 degrees; x+ 8 = 51
Step-by-step explanation:
x + 2x + x + 8 = 180
4x + 8 = 180
- 8 -8
4x = 172 (divide both sides by 4)
x = 43
3,240 ......................
Answer:
The third bubble. 2x=6
Step-by-step explanation:
This one because natural numbers are whole numbers and the others require negative or fractioned numbers. This one, x is equal to 3 because 2x3=6.