Answer:
draw out a number line going from positive 8 to negative 8, on the number line look at -8 and go one number to the right adding positive 1 leaving you with -7
Step-by-step explanation:
2^2 , or 4
since the exponents have the same base, we can subtract the exponent of the numerator by the exponent in the denominator.
So 2^-3 - 2^-5 = 2^(-3-(-5)) = 2^2
The new exponent is 2 because -3-(-5) is equal to 2.
Answer:
just look for the LCM of 6,8,12,9 then that will be your answer
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.
I have it please like me or whatever