Answer:
C. 2.0 < t < 2.5
Step-by-step explanation:
time = distance / speed
The circumference of the lake is given by ...
C = πd = 2π miles ≈ 6.28 miles
Then Johanna's time is ...
(6.28 mi)/(3 mi/h) ≈ 2.09 h
This time is in the interval (2, 2.5), so matches choice C.
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<em>Alternate solution</em>
If we take pi to be 3, then this boils down to ...
2×3/3 = 2 . . . hours
Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.
Every single one of those expressions factor. When factored, this is what we have:

. After canceling out like factors, what we are left with is this:

. That means that b = 9, c = 1, and d = -2
Answer:
517
Step-by-step explanation:
The radius of a circle is just half of the diameter (1/2d = r)
1034/2 = 517
Answer:
The slope is -1/8 and the y intercept is 7/6
Step-by-step explanation:
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/8 x + 7/6
The slope is -1/8 and the y intercept is 7/6
Answer: A OR E
Step-by-step explanation: