For this case we have the following expression:
h (t) = - 16t ^ 2 + 122t + 10
We look for the maximum of the function, for this, we derive:
h '(t) = - 32t + 122
We match zero:
-32t + 122 = 0
We cleared t:
t = 122/32
t = 3.8125 s
Then, the maximum height will be:
h (3.8125) = - 16 * (3.2185) ^ 2 + 122 * (3.2185) +10
h (3.8125) = 236.92 feet
Answer:
It takes the boulder to reach maximum height about:
t = 3.8125 s
the boulders maximum height is:
236.92 feet
Answer:
(0,12) and (5,0)
Step-by-step explanation:
Since the x is the small pot(5) it would come first when writing it out. And 12 is the large pot(y)
C I think sorry I will try I will get other answers later
Answer:
x= 7
Step-by-step explanation:
Theorem: The sum of the angles of a triangle is 180
Memorize that theorem
8x - 9 + 63 + 70 = 180
8x + 124 = 180
8x = 56
x= 7
Answer:
Standard deviation gets smaller
Step-by-step explanation:
No. of students = 45
The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM.
The teacher realized that the data from one student who typed 55 WPM was not entered.
So, new sum = 2520+55
New sum =2575
So, new mean =
New mean =57.22
Standard deviation is the measure of distance between observation and mean
So, if number gets closer to mean , Standard deviation gets smaller . if the numbers get bigger , Standard deviation gets bigger.
Since 55 is closer to 57.22
So, Standard deviation gets smaller
