For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
Answer:
the answer is 20
Step-by-step explanation:
The answer is 20. The rule of math, for this math problem, is that you do the multiplication first and then solve. Order of operations is "PEMDAS," which explained is by following these rules: Parentheses First.
First you have to use the formula which is r to the second times height times pi
You would do 4 times 2 equals 8 then multiply 8 times 10 equals 80 then multiply that answer times 3.14 then your answer is 251.2
CD = certificate of deposit (an investment)
Interest rate, i = 10% per annum (simple interest)
Principal, P = $2000 (present value)
Period, T = 3 months = 0.25 year
Simple interest formula
Interest earned = Pit
=2000*0.10*0.25
=$50
Balance at maturity (amount that investor gets after three months)
=$2000+$50
=$2050
Easy...
to even begin to factor..you must factor out a 3, to simplify your answer.
3(12
-7x-10)
Now, you can factor.
So..to find the answer...
12*-10=-120x
and
you would use -7x
What multiplies to -120..but adds to -7?
-15*8=-120
and
-15+8=-7
To find the answer, plug in what you know..
3(3x+2)(4x-5)
Thus, your answer.
