Answer:
A. 1/5
Step-by-step explanation:
Add all the numbers up, you get 25. There is 5 yellow marbles, so that's a 5/25 chance of picking a yellow one, now you just have to simplify, you then get 1/5, because 5 ÷ 5 is 1, and 25 ÷ 5 is 5.
Answer:
1. t = 0.995 s
2. h = 15.92 ft
Step-by-step explanation:
First we have to look at the following formula
Vf = Vo + gt
then we work it to clear what we want
Vo + gt = Vf
gt = Vf - Vo
t = (Vf-Vo)/g
Now we have to complete the formula with the real data
Vo = 32 ft/s as the statement says
Vf = 0 because when it reaches its maximum point it will stop before starting to lower
g = -32,16 ft/s² it is a known constant, that we use it with the negative sign because it is in the opposite direction to ours
t = (0 ft/s - 32 ft/s) / -32,16 ft/s²
we solve and ...
t = 0.995 s
Now we will implement this result in the following formula to get the height at that time
h = (Vo - Vf) *t /2
h = (32 ft/s - 0 ft/s) * 0.995 s / 2
h = 32 ft/s * 0.995 s/2
h = 31.84 ft / 2
h = 15.92 ft
Answer:
slope = - 
Step-by-step explanation:
Differentiating implicitly with respect to x
2x + 2y
= 0
2y
= - 2x
= -
= - 
is the measure of the slope of the tangent
rearrange equation to find corresponding y-coordinate of x = - 2
y² = 16 - 4 = 12 = 2
⇒ y = ± 2
using x = - 2, y = - 2
, then
= -
= - 
Answer:
C = 14π cm
Step-by-step explanation:
C = πd
or
C = 2πr
Simply use the 1st equation and plug in the diameter to find you answer.