His estimate is reasonable. But only if Michael is less than 2 years old.
Answer:
hmax = 194 ft
The maximum height is 194 ft
Step-by-step explanation:
According to the given equation for the model of the vertical motion. The height at any point in time can be written as;
h(t) = -16t^2 + v0t + h0 .......1
Where;
h(t) = height at time t
t = time
v0 = initial velocity = 96 ft/s
h0 = initial height = 50 ft
To determine the maximum height we need to differentiate the equation 1 to find the time at which it reaches maximum height;
At the highest point/height h' = dh/dt = 0
h'(t) = -32t +v0 = 0
-32t + v0 = 0
t = v0/32
t = 96/32
t = 3 s
At t=3 it is at maximum height.
The maximum height can be derived from equation 1;
Substituting the values of t,v0,h0 into equation 1;
h(t) = -16t^2 + v0t + h0 .......1
hmax = -16(3)^2 + 96(3) + 50 = 194 ft
hmax = 194 ft
The maximum height is 194 ft
First, order the number set from least to greatest:
3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20
Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:
(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10
(97)/10 = 9.7
Mean: 9.7
Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:
8 & 9 are the median numbers:
(8 + 9)/2 = (17)/2 = 8.5
Median: 8.5
Mode: The mode is the number(s) in the set that shows up the most:
Mode: 4 (shows up one more time than all other numbers)
Range: The range can be found by subtracting the least number from the greatest number in the number set:
Range: 20 - 3 = 17
Range: 17
~
Question 4- is 32.25
question 5- is 12.4
question 6 -is 14/17
question 7 - is 10.7
Answer:
b
Step-by-step explanation:
