Given:
The sum of 8 and B is greater than 22.
To find:
The inequality for the given statement and its solution.
Solution:
We know that, sum of two number is the addition of two numbers.
Sum of 8 and B = 8+B
It is given that, the sum of 8 and B is greater than 22.
Subtracting 8 from both sides, we get
Therefore, the required inequality for the given statement is and the solution is
.
a. has an average value on [5, 11] of
b. The mean value theorem guarantees the existence of such that
. This happens for
Answer:
<em>The mass of the steel ball is 4,235.9 gr</em>
Step-by-step explanation:
<u>Density</u>
The density ρ of a substance is a measure of its mass per unit volume:
If the density and the volume are given, the mass can be calculated by solving the above formula for m:
We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.
We need to calculate the volume of the sphere:
The volume of a sphere of radius r is given by:
The radius is half the diameter: r= 10/2 = 5 cm. Thus:
Calculating:
The mass is:
m=4,235.9 gr
The mass of the steel ball is 4,235.9 gr