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:
A AND D ARE CORRECT.
Step-by-step explanation:
IT IS A NUMBER LINE SO IT IS JUST BASIC ADDITION AND SUBTRACTION.
Answer:
A
Step-by-step explanation:
I think its A because if you see the line which is the slope, the slope is going up, so its positive. to find the x, you use ride over run. also, you see the y intercept is up and its positive. sorry if I get it wrong.
I hope it helped!!!:)
Answer:
480 inches^3
Step-by-step explanation:
The volume of a Prism is: Bh
B= length of the base
h= height of the lateral face
(8*10)4
320 inches^3
So for the 2nd figure on top you do the same.
This time you divide by 2.
So it's 160 inches^3.
Add up you get a sum of 48- inches^3.
Or 480 cubic inches.
Answer:
D Line segments are the same and do not intersect
Step-by-step explanation:
They are parallell lines and are the same length
