Answer:
5
Step-by-step explanation:
Add the given numbers to the last recorded temp and see what is closest to 100 degrees.
95.5 + 6.5 = 101.5
95.5 + 6.6 = 102.1
95.5 + 5.5 = 101
95.5 + 5 = 100.5
So the closest to 100 degrees would be 5.
30 is the least common multiple
Step-by-step explanation:
Miles travelled in 1h=66600
Miles travelled in 1 sec=66600/3600
=18.5miles
Miles travelled in 15 seconds =18.5×15
=<em><u>277.5miles</u></em>
Therefore, f(x) = 2x + 3 is your derivative function, and you need to find the original curve. So find the antiderivative using the given conditions...
∫f(x) = ∫2x + 3 dx
F(x) = x^2 + 3x + C
2 = (1)^2 + 3(1) + C
2 = 4 + C
C= -2
Therefore, the curve is F(x) = x^2 + 3x - 2
Proof: The derivative is the slope at every (x, y) point. The derivative of F(x) comes out to be 2x + 3, so we have found the curve. Plug in x = 1, and y = 2, so the conditions have been met.
<span>Hope I helped.</span>
Since the numbers are consecutive, they must be near each other in size, and therefore near one-third of 168. And since the lower number is -2 off the middle, and the upper number is +2 from the middle, the middle number must be exactly one-third of 168—otherwise the sum of the three could never be 168. Labelling the three consecutive numbers as x, y, and z:
x + y + z = 168
(y-2) + y + (y+2) = 168.
3y = 168
y = 56
therefore the smallest number (x) = 54.
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