Answer with explanation:
Since the motion of the ball is projectile motion we shall use the equations for projectile motion.
The maximum height achieved by the projectile is given by
Applying the values we get

The range of the projectile is given by

Applying values we get

thus the maximum horizontal distance reached by the ball equals 7.339 meters after which it bounces thus a person standing 8 meters away will not be able to catch it.
(The height of the players is not taken into account since no info is given about their height.)
Answer:
20 people only buy dvds.
Step-by-step explanation:
There are two groups in this problem. One group of people that buys dvds and one that buys blu rays. The total amount of people who buy blu rays is 300, but there's an intersection between the groups and the size of this is 280 people who actually buy both. In order to find out how many people only buy DVDs we first need to figure out how many only buy blu-rays. That is:
people who only buy blu rays = people who buy blu rays - people who buys blu rays and dvds
people who only buy blu rays = 300 - 280 = 20
We can now calculate the amount of people who only buy dvds and that is:
people who only buy dvds =total amount of people - ( people who only buy blu rays + people who buy both)
people who only buy dvds = 320 - (20 + 280) = 320 - 300 = 20 people
Given:
6% of the random sample were not edible
2300 ears of corn were picked
Find number of those ears of corn that were not edible.
2,300 * 6% = 138
138 ears of corn were not edible.
Answer:
Step-by-step explanation:
Expected amount the insurance company will pay= 0.069941*12000=839.292
Expected amount the insurance company will make= 445-839.292= -394.292= -394.29
Given
balloon rises straight up at a rate of 120 ft per min.
balloon is tracked from a rangefinder on the ground at point p, which is 400 ft from the release point q of the balloon.
d = the distance from the balloon to the rangefinder and t= the time in mins
Express d as a function of t.
To proof = With the help the diagram as shown in below .
balloon rises straight up at a rate of 120 ft per min.
thus RQ = 120t
rangefinder on the ground at point p, which is 400 ft from the release point q of the balloon.
thus PQ = 400 ft
Let PR =d
by using the pythagoras theorem
we have
RQ² + PQ² = PR²
now putting the value
we have
(120t)² + 400² = d²
= d
= d
= d
ft
hence d is express in the term of t
Hence proved