If you consider the logarithm base 3 of both sides, you have
You can use a rule of logarithms that allow you to turn exponents into multiplicative factors:
So the equation becomes
Now, by definition, you have
So, you have
So, the equation becomes
Answer:
y=34x+2.625
y=34x+2.75
y=−34x+1.25
y=34x+1.25
y=−34x+2.75
Correct answer:
y=−34x+2.75
Step-by-step explanation:
This is a matter of Amount = Rate times time.
First, find the area of the circular opening. A = pi (r^2). Here,
A = pi(10.5 inches)^2.
To obtain the volume of water that flows out of the pipe per second, multiply this area by the 30 inches per second rate.
That comes out to a volume per second of Volume rate = pi*(10.5 inches)^2 * 30 inches per second:
Volume rate = 3.14(110.25 in^2)(30 inches/sec)
= 10390.8 cubic inches per second
Convert this result to cubic feet per second. Recall that 1 cubic foot = (12 inches)^3, or 1728 cubic inches / 1 cubic foot.
Thus, 10390.8 cubic inches per second comes out to
10390.8 cubic inches
---------------------------- = Just over 6 cubic feet per sec.
1728 cu. inches
---------------------
1 cu. ft
How many sec in 1 day? 1 day = 24 hours
1 hour = 60 minutes
60 seconds = 1 minute
Figure out how many seconds there are in 1 day, and then multiply your result by 6 cu. ft. / sec.
Based off the measures of the arcs DC and AB, your answer should be B. 36 Hope it helps.
