5.3 minutes.
First, let's calculate the volume of the tank. That will be the area of the base multiplied by it's length. And since it's base is a circle, the area is pi*r^2. So:
V = l*pi*r^2
V = 3.5 * pi * (2.2/2)^2
V = 3.5 * pi * (1.1)^2
V = 3.5 * pi * 1.21
V = 4.235 * pi
V = 13.30464489
So the tank has a volume of about 13.3 ft^3. Now simply divide that volume
by the rate of incoming fluid. So
13.3 / 2.5 = 5.32
Rounding to 2 significant figures gives a time of 5.3 minutes.
We can take out one of the points such as H (2,6) and then take it's dilation H' (1,3)and see that 2 and 6 were both multiplied by 1/2 to get 1 and 3, so the scale factor is 1/2
Answer:
a(10) = 3^9 = 19683
Step-by-step explanation:
In this sequence each new term is equal to 3 times the previous term. Thus, 3 is the common ratio. The first term is 1.
The general formula for the nth term of a geometric sequence i
a(n) = a(1)*r^(n -1), where r is the common ratio.
Here, a(n) = 1*3^(n - 1), and so
the 10th term is
a(10) = 1*3^(10 - 1), or
a(10) = 3^9 = 19683
Answer:
2791
Step-by-step explanation:
Yea
