For this case we have the following interval:
The equivalent expression for this interval is given by:
Therefore, we have the following inequations:
From where, we can conclude:
All real numbers greater than -6 and less than 7
Answer:
An expression in words that describes the set of numbers given by the interval (-6, 7) is:
A. All real numbers greater than -6 and less than 7
If we multiply 1 through 10, the mathematical representation of the product would be,
P = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10
Getting the factors of each number,
P = 1 x 2 x 3 x (2 x 2) x 5 x (3 x 2) x 7 x (2 x 2 x 2) x 9 x (5 x 2)
Then, we take out all the 2's.
2 x (2 x 2) x (3 x 2) x (2 x 2 x 2) x (5 x 2)
Combining all the 2's.
2^8 x 3 x 5
2^8 can also be written as (2 x 2)^4. Thus, the answer is 4.
Answer:
h = 135/(4π)
Step-by-step explanation:
The formula for the volume of a cone is V = (1/3)πr²h,
where r is the radius, and h is the height. We need to use the given info and this fomula to find h.
Step 1: We are told that V = 45, and r = 2, so plug those values in
45 = (1/3)π(2²)h
Step 2: Solve for h
Simplify...
45 = (1/3)π(4)h (2² = 4)
45 = (4π/3)h (commutative property of multiplication)
Multiply both sides of the equation by 3/(4π) to isolate h
[3/(4π)](45) = [3/(4π)](4π/3)h
135/(4π) = h { [3/(4π)](4π/3) simplifies to 1 }