Answer:
30.3 cm
Step-by-step explanation:
Suppose the height is h after the sphere is full submerged.
4/3
R³ =
r²(h-30) The volume of the sphere is equal to the volume
4/3
(10/2)³=
× (14/2)²(h-30) of the water surface rising
4/3 × 125 = 49 × (h-30)
h - 30 = 49 × 3/4 × 125
h - 30 = 0.3
h = 30 + 0.3
h = 30.3 cm
We need to find the distance between (7, 5) and (10, 11) and double it, since they run it twice. We can do this as follows: 2√(11-5)² + (10-7)² = 2√36 + 9 = 2√45 = 6√5.
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Hope this helps!
The zeros are the values of t for which f(t) = 0.
i.e. <span>-16t^2 + 96t = 0
16</span>t^2 - 96t = 16t(t - 6)
16t = 0 or t - 6 = 0
t = 0 or t = 6
Therefore, the zeros are 0, 6
The time taken for the ball to hit the ground is the value of t when f(t) = 0.
i.e. t = 6.
Answer:
How many standard deviations above the mean is 14,500 hours? 1.25 1.5 2.5 Using the standard normal table, the probability that Seth's light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about ✔ 89% .