Answer:
The Total number of Professors = 48
Step-by-step explanation:
Given as,
The total number of Faculty = 136
And the Ratio of Professors to Lecturers = 6 Ratio 11
Now According to question
Professors : Lecturers = 6 : 11
So, Let the Number of Professors = 6x
And The Number of Lecturers = 11x
∴ 6x + 11x = 136
Or, 17x = 136
Or, x =
= 8
Hence, the number of Professors = 6 × 8 = 48 Answer
37.9 equals 30+7+.9 you should try to put in number form so you know what you're dealing with
Part a: Option D 18 feet per second
Part b: increasing
Solution:
Height 
Part a: To find the average rate of change for h(t) between t = 0 and t = 2.
Substitute t = 0 in h(t).

h(0) = 3
Substitute t = 2 in h(t).
h(2) = 39
Average rate of change formula:

Here, a = 0 and b = 2.



= 18
Average rate of change = 18 feet per second
Option D is the correct answer.
Part b:
This means height of the ball is increasing for 0 < x < 2.
Answer:
7miles
equations shown in work image below
work shown on the paper with more explanations because text is hard to write equations (sorry I used km but it is miles for your problem.)
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Step-by-step explanation:
For both d=r*t
Each bikes to others house and leave at the same time so for Tony,
11 = 30*t
t= 11/30 hours
for Gerry,
11 = 25*t
t= 11/25 hours
Comparing these, with LCD,
Tony's time is 55/150
Gerry's time is 66/150
So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.
Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.
We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150
Answer:
Subject B.
Step-by-step explanation:
It is given that,
There are total four subjects, namely A, B, C and D.
Out of these four subjects, we have, Subject B wants to impress the researcher above everyone while the other subjects do not care.
Since, Subject B wants to impress the researcher, they would want to use any means as possible so that the researcher gets amazed by them.
For this, it is highly possible that they will start answering questions in a way that makes them impressive, which would lead them to not answer questions honestly.
While the other subjects do not care whether the researcher is impressed, this will make them give the answer honestly.
Hence, Subject B is least likely to answer the questions honestly.