Answer:
The maximum distance traveled is 4.73 meters in 0.23 seconds.
Step-by-step explanation:
We have that the distance traveled with respect to time is given by the function,
.
Now, differentiating this function with respect to time 't', we get,
d'(t)=9.8t-2.3
Equating d'(t) by 0 gives,
9.8t - 2.3 = 0
i.e. 9.8t = 2.3
i.e. t = 0.23 seconds
Substitute this value in d'(t) gives,
d'(t) = 9.8 × 0.23 - 2.3
d'(t) = 2.254 - 2.3
d'(t) = -0.046.
As, d'(t) < 0, we get that the function has the maximum value at t = 0.23 seconds.
Thus, the maximum distance the skateboard can travel is given by,
.
i.e.
.
i.e.
.
i.e.
.
i.e. d(t) = 4.73021
Hence, the maximum distance traveled is 4.73 meters in 0.23 seconds.
Answer:
A. h(x)=4x+2
Step-by-step explanation:
Because it's shifted to the left, you would subtract three units from 5, resulting in 4x+2. Hope this helps, have a nice day! :)
Answer:
<em>The perimeter of the green cross is 32 cm</em>
Step-by-step explanation:
<u>Perimeter</u>
It's the sum of all the external side lengths of a given shape.
The green cross formed by two rectangles is shown in the figure below.
We have outlined the dimensions of the external sides of the resulting cross.
Note there are four corners of 2 cm by 2 cm and four sides of 4 cm each.
The total perimeter is:
8 * 2 cm + 4 * 4 cm = 16 cm + 16 cm = 32 cm
The perimeter of the green cross is 32 cm
Twenty-five times two = fifty