9514 1404 393
Answer:
a) average rate = (total distance)/(total time)
b) Rave = 2·R1·R2/(R1 +R2)
c) cheetah's average rate ≈ 50.91 mph
Step-by-step explanation:
a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...
First leg distance: AB = 70·t1 ⇒ t1 = AB/70
Second leg distance: AB = 40·t2 ⇒ t2 = AB/40
The average rate is the ratio of total distance to total time:
average rate = (AB +AB)/(t1 +t2)
average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)
average rate = 560/11 = 50 10/11 . . . mph
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No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.
b) For two rates over the same distance (as above), the average is their harmonic mean:
average rate = 2r1·r2/(r1+r2)
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c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.
<span>2x + x = 12
=> x =12/3 =4
so, original number is 84.
</span>
It's a little hard to see, but I'm almost positive the y intercept is -1.
Remember, the y intercept is wherever the line intercepts in the y axis 0.
Good luck my man.
Answer:
first option
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5
The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus
f(n) = - 5f(n - 1) if n > 1
with f(1) = 3 ← first term
It would be $83.00 kid
Have a nice day!!!
