Answer: Yes. The new average is 3
<u>Step-by-step explanation:</u>
25 students at 3 siblings each = 75 siblings
26 students has 75 siblings + 8 siblings = 83 siblings
New average is 83 siblings ÷ 26 students = 3.19 siblings per students
If you've started pre-calculus, then you know that the derivative of h(t)
is zero where h(t) is maximum.
The derivative is h'(t) = -32 t + 96 .
At the maximum ... h'(t) = 0
32 t = 96 sec
t = 3 sec .
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If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.
In that case, the question GIVES you the maximum height.
Just write it in place of h(t), then solve the quadratic equation
and find out what 't' must be at that height.
150 ft = -16 t² + 96 t + 6
Subtract 150ft from each side: -16t² + 96t - 144 = 0 .
Before you attack that, you can divide each side by -16,
making it a lot easier to handle:
t² - 6t + 9 = 0
I'm sure you can run with that equation now and solve it.
The solution is the time after launch when the object reaches 150 ft.
It's 3 seconds.
(Funny how the two widely different methods lead to the same answer.)
The answer is from AL2006
Answer:
KI=11.25 and HI=6.75
Step-by-step explanation:
Consider the below figure attached with this question.
According to Pythagoras Theorem:

Use Pythagoras in triangle HKL




Taking square root on both sides.

Let length of HI be x.
LI = 12+x
Use Pythagoras theorem in ΔKLI,




Use Pythagoras theorem in ΔHKI,


From (1) and (2) we get



Hence, the measure of HI is 6.75 units.
Substitute x=6.75 in equation (2).


Taking square root on both sides.


Hence, the measure of KI is 11.25 units.
Answer:
ok fine 1.3x+4y<10
Step-by-step explanation:
So according to the picture you sent the first part is 2(x-8) (x+6)=0 so it’s the first answer. The second part the answer is (8;0) and (-6;0) the last answer in the second frame.
The reason the answer is those is because it’s using coordinates (x;y) and since we were solving for x we got the x coordinates. But since we got the x coordinates our y coordinates will be 0. If the answer was y=8 than out coordinates would be (0;8). Hope this makes sense
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