Answer:
<h2>The required ratio is 8</h2>
Step-by-step explanation:
Volume of a sphere =
where r is the radius of the sphere.
If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;
Vo = 

If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.
radius of current sphere = 2cm+(1cm+1cm) = 4cm
Volume of the current sphere Vc = 

The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;
Vc/Vo = 

The required ratio is 8
To determine the answer, we need to express the fractions into its decimal counterparts. 3/5 is equal to 0.6 therefore it is closest to 0.5 while 1/10 is equal to 0.1 therefore it is the last option. Hope this answers the question. Have a nice day.
Answer:
Solution. The domain of g(x) consists of all real numbers except x = 32, since that input value would cause us to divide by 0. Likewise, the domain of f consists of all real numbers except 1. So we need to exclude from the domain of g(x) that value of x for which g(x) = 1.
Step-by-step explanation:
Answer:
(507.05, 592.95)
Step-by-step explanation:
Given data:
sample mean = $550, sample standard deviation S = $60.05
95% confidence interval , n = 10
For 95% confidence interval for the mean
mean ± M.E.
where M.E. is margin of error = 
Substituting the values in above equation

= 2.62×18.99
=42.955
= 550±42.95
=(507.05, 592.95)
It would be $9 per hour all you have to do is divide 54 by 6 you get 9, unit rate is 1
I hope this helps