Answer:
7. -
a. 3.5 or 7/2 hours
b. 24.5
c. After 7 hours (and at the beginning when t=0)
8. -
a. 4 seconds
b. 1 second
c. 54 meters
Step-by-step explanation:
7. M(t)=-2t^2+14t
M’(t)=-4t+14
a)
-4t+14=0
4t=14
2t=7
t=7/2
b) M(7/2)=24.5
c)
M(t)=0
-2t^2+14t=0
t^2-7t=0
t(t-7)=0
t=0, 7
8.
a)
h(t)=0
-6t^2+12t+48=0
t^2-2t-8=0
(t-4)(t+2)=0
t=-2, 4
t=4
b)
h(t)=-6t^2+12t+48
h’(t)=-12t+12
h’(t)=0
-12t+12=0
12t=12
t=1
c) h(1)=54
I hope this helps; please vote brainliest!
Answer:
1
Step-by-step explanation:
The slope of the line (when in point-slope form) will be the coefficient of the term on the right side of the equation. In this case that is 1.
Answer:
3.40 rad
Step-by-step explanation:
18
12 + 6 = 18
There Are 12 In One Year.
Answer:
C. 28 ft³
Step-by-step explanation:
The general formula for the volume of a pyramid:
V = 
, where B = the area of the base and h = height of the pyramid
Since the base is a rectangle, we can find area using the formula:
A = l x w or A = 3 x 4 = 12 ft²
Using B = 12 and h = 7:
V = 
V = 28 ft³
