Answer:
Step-by-step explanation: In isosceles triangle ABC, AB = BC.(2) Bob does his homework if and only if George gets candy.What is the length, to the nearest tenth, of the line segment joining 1.25000. (3) 151.9. (-4-146)2+(2-5272. 6. What is the slope of a line perpendicular to the line whose MLABC = (2x+10), find mLACB. C. rectangular box has a base that is a rectangle with are 10 and 6, find the height of the trapezoid. c) 6. 8) In triangle ABC, the measure of angle A is 60 degrees. If the measure of angle B is 12) Square ABCD, above, has coordinates: C(-2, 2) and D(-2, -2).
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Answer:
2 hours
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
For a kayak speed of k miles per hour in still water, the speed upstream is (k-2) and the speed downstream is (k+2). Over the distances given, the times are the same, so we can write ...
10/(k-2) = 14/(k+2)
Multiplying by (k+2)(k-2) gives ...
10(k+2) = 14(k -2)
10k +20 = 14k -28 . . . . . eliminate parentheses
48 = 4k . . . . . . . . . . . . . . add 28-10k
12 = k
Then the time for 28 miles downstream is ...
time = 28 / (12 +2) = 2 . . . . hours
It will take the person 2 hours to kayak 28 miles downstream.
it's either 2/3 or 66.6 (neverending 6s)
Answer:
Therefore the height of the water in the pool changes at the rate of 
feet per minute.
Step-by-step explanation:
Given that the shape of swimming pool is right circular cylinder.
The rate of water pouring in the pool = 3 cubic feet per minute.
It means the rate of change of volume is 3 cubic feet per minute.
cubic feet per minute.
When the volume of the swimming pool changed it means the height of the water level of the pool change and the radius of the swimming pool remains constant.
Let the height of the pool be h.
The volume of the pool is = 
cubic feet
cubic feet
Therefore,
v
Differentiating with respect to t
Putting
The change of height of the pool does not depend on the depth of the pool.
Therefore the rate of change of height of the water in the pool is feet per minute.
Answer: 9.9 years
Step-by-step explanation:
We have an interest of 7.25%, compounded continuously, we can write this as:
P = A*e^(r*n)
where:
P is the total balance after n years.
A is the initial investment.
r is the ratio of increase, in the case of a continuous compound, this will be:
r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070
n is the time in years.
Then we want to have our initial investement doubled, this means:
P = 2*A
let's find n for this situation:
P = 2*A = A*e^(0.070*n)
2 = e^(0.070*n)
Now we can apply the Ln() to both sides, remember that:
Ln(e^x) = x
Then:
2 = e^(0.070*n)
Ln(2) = Ln(e^(0.070*n)) = 0.070*n
Ln(2)/0.070 = 9.9
So we need 9.9 years to double the initial investment.
