Answer:
900
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
44x = 432
divide both sides by 44

x = 9.8
since 8 is the closest number, that would be your answer
Answer:
Your answer of option b is right.
Step-by-step explanation:
Given that a sinesoidal function has maximum 12 and minimum -6
Hence centre line would be average of these two.
Centre line is 
i.e. f(x) = a sin (bx+c)+3
Since amplitude = 12-3 =9 we have a = 9
i.e. f(x) = 9 sin (bx+c)+3
Frequency is given as 3, period = 1/3
This gives b = 6pi
f(0) = y intercept =
9sin(c)+3 =3
This gives c=0
Hence correct equation is

Answer:
3
Step-by-step explanation:
a + 3b - 18 has three terms: a, 3b and -18.
Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given by:

Aspherical balloon has a radius of 6 feet, hence the volume is:

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:


It will be completely empty when:





Rounding, it will take 24 hours for the balloon to become completely empty.
More can be learned about the volume of a sphere at brainly.com/question/25608353