Answer:
Step-by-step explanation:
Use Newton's Law of Cooling here:
where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:
which can simplify a bit to
and 
Take the natural log of both sides:
Taking the natural log allows us to pull that exponent down out front:
and now we can divide both sides by ln(38) to get
-35k = .794585 so
k = -.023
Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:
and
and
and
T(t) = 35 F, basically the temp of the fridge, which is not surprising!
6 because diameter times pie =area just like radius squared times pie = area. so you simply take 36 and find the square root of it. hope this helps!
if you are looking how to times a 2 digit witha 2 digit number there is a video where it explains everything.
Answer:
B, the second one.
Step-by-step explanation:
Take the equation, y=2x+1. 1 is the y-intercept, so that automatically eliminates some potential answer choices. Your slope is 2/1, so you would use rise over run to find the correct answer choice.
Answer:
14). 2nd quadrant
15). 1st quadrant
Step-by-step explanation:
14).Coordinates of a point → J(-8, -12)
Coordinates of the new point J' after reflection of x-axis will follow the rule,
(x, y) → (x, -y)
Coordinates of J' → (-8, 12)
Therefore, point J' will lie in 2nd quadrant.
15). Coordinates of a point → W(-6, 7)
Rule for the rotation by 90°clockwise about the origin,
(x, y) → (y, -x)
Coordinates of point W → (-6, 7)
Following this rule,
W(-6, 7) → W'(7, 6)
Therefore, point W' will lie in the first quadrant.
