Answer:
36,000 would be 20 percent. 72,000 would be 40 percent.
Step-by-step explanation:
You just divide 36,000 by 180,000
Answer:
so for the mean u add all the numbers on there and then divide it by 5 since there are 5 numbers on there so 78+84+100+78+81=421 now we divide 421 by 5 so 421÷5= 84!
now the median would be 100? and the mode is 78 since 78 is the number that showed the most!
The data for linear pair are;
The domain are the values (input) on the x-axis which is the time
The range are the values input on the y-axis which is the height reached by the balloon
Part A
The interval of the domain during which the water balloon height is increasing is 0 ≤ x ≤ 2
Part B
The intervals of the domain the water balloon’s height stays the same are;
2 ≤ x ≤ 3 and 6 ≤ x ≤ 8
Part C
The water balloon height is decreasing at the following intervals;
At the interval 3 ≤ x ≤ 4
The rate of decrease = (20 ft. – 80 ft.)/(4 s – 3 s) = -20 ft./s.
At the interval 4 ≤ x ≤ 6
The rate of decrease = (0 ft. – 20 ft.)/(6 s – 4 s) = -10 ft./s
Therefore, the interval of the domain that the balloon’s height is decreasing the fastest is 3 ≤ x ≤ 4
Part D
According to Newton’s law of motion, provided that the no additional force is applied to the the balloon, at 10 seconds, the height of the water balloon is 0 ft. given that the height of the balloon is constantly decreasing from 3 seconds after being thrown off the roof, reaching a height of 0ft. at 6 seconds and maintaining that height up until 8 seconds.
By extending the graph further, the height of 0 ft. is obtained at 10 seconds after the balloon is thrown
So it is given that f(x) and g(x) are inverse of each other.
Then f(5) = -7 and hence g(-7) = 5
Now let's use f( g( x ) ) = x
Now take deviation. Use chain rule:
f'( g(x) ) g'( x ) = 1
Plug in x = -7
f'( g( -7 ) ) g'( -7 ) = 1
f'( g( -7 ) ) · -2/3 = 1
f'( g( -7 ) ) = -3/2
f'( 5 ) = -3/2
Hope this helps.