Answer:
at t = 1 s: +56 ft/s
at t = 3 s: -8 ft/s
Step-by-step explanation:
The equation that describes the heigth of the ball at time t is
where
4 ft is the initial height at t = 0
+88 ft/s is the initial velocity of the ball
is the acceleration due to gravity
The instantaneous velocity of the ball can calculated as the derivative of the position.
Calculating the derivative of s(t) with respect to time, we find an expression for the instantaneous velocity:
Now we can find the value of the instantaneous velocity at various times t:
- At t = 1 second, we have
- At t = 3 seconds, we have
Answer:
The answer is the option B
The volume of the cylinder increases by a factor of 
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
------> original volume
In this problem
substitute in the formula
therefore
The volume of the cylinder increases by a factor of
PeRIMeter is the RIM around the rectangle.
P= 3.2+1.5+3.2+1.5= 6.4+ 3= 9.4 m
Area is A= 3.2• 1.5= 4.8 m^2
Answer:
A TRUE B FALSE C FALSE
Step-by-step explanation:
The confidence interval extremities are given by the formula:
m +/- (z · σ / √n)
In your problem:
m = 3.13
<span> σ = 0.23
n = 36
The z-score for a 99% confidence interval is 2.576
Therefore:
</span>m - (z · σ / √n) = 3.13 - (2.576 · 0.23 / √36) = 3.031
<span>m + (z · σ / √n) = 3.13 + (2.576 · 0.23 / √36) = 3.229
Therefore, the confidence interval is (</span>3.031, <span>3.229).</span>
