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.
Answer:
F(t)
Step-by-step explanation:
We have given 
Now 
Here 
Now first find the Laplace inverse of G(S)
Using partial fraction
On comparing the coefficient
and 
On putting the value of A and B
Taking inverse Laplace
Now in G(s) there is onether term 
So F(t)
Well here's your answer straight <u><em>he must pay 29.82$ </em></u>and here's my work,
- 20% of 35 is 7 and since its 20% off we must subtract 35-7=28
- Next it said there's a 6.5 tax so that means we are adding on to 28$
- 6.5 of 28 is 1.82 so we add 28+1.82 which equals your answer 29.82
Answer: 
by AA.
Step-by-step explanation:
Finding the third angle in triangle XYZ,
,
Thus, by AA.
