Answer:
1,000 cm......there are 100 cm per meter so 1,000 cm per 10 meters
Step-by-step explanation:
Answer:
623
Step-by-step explanation: 62.3x10=623
We have the following functions:
f (x) = x + 2
g (x) = 1 / x + 2
Multiplying we have:
(f * g) (x) = (x + 2) * (1 / x + 2)
Rewriting:
(f * g) (x) = (x + 2 / x + 2)
(f * g) (x) = 1
Therefore, the domain of the function is any real number.
Answer:
a. all real numbers
Answer:
Step-by-step explanation:
Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.
So, dV/dt = 0.03.
We want to show that dS/dt is directly proportional to 1/r.
In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.
First, the volume of a sphere V is given by:
Therefore:
Next, the surface area of a sphere S is given by:
Therefore:
We can divide both sides by 2:
We can substitute this into dV/dt. Rewriting:
So:
Since dV/dt = 0.03 or 3/100:
Therefore:
Where k = 3/50.
And we have shown that dS/dt is directly proportional to 1/r.
1. She is making 8.76 per hour. Let <em>h </em>be the number of hours she worked, and <em>x </em>be what she earned at the end of the day if each hour gave her 8.76. Your answer is h*8.76=x.
2. If she worked 5 hours and 30 minutes, then we will do 5*8.76=43.8. So if it was <em>30 minutes, </em>then you do 43.8/2=21.9. So 43.8+21.9=65.7, so your answer is 65.7.
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