Answer: radius = 19.99 centimeters
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 22/7
From the information given,
Volume = 16328 cubic centimeters
Height = 13 centimeters
Therefore,
16328 = 22/7 × r² × 13
16328 = 40.857r²
Dividing the left hand side and the right hand side of the equation by 40.857, it becomes
r² = 16328/40.857 = 399.6378
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = 19.99 centimeters
Answer:
she need to pay is $550.40
Step-by-step explanation:
given data
interest = 4.2 % compounded quarterly = 0.042 / 4 = 0.0105
future value = $7000
time = 3 year = 3 × 4 = 12 months
to find out
How much money she need to pay
solution
we will apply here formula for future value for compound quarterly
that is
future value = principal ×
.............1
put here all these value
future value = principal ×
7000 = principal ×
principal = 550.40
so she need to pay is $550.40
Answer: B
Step-by-step explanation:
LJ should corresponds with RQ but it should correspond with PR.
The equation of the piecewise function is 
<h3>The piecewise function</h3>
On the graph, we have:
- y = 3 for all x values not more than -1
- y = -1 for all values greater than 2
Hence, the piecewise function is:

<h3>The domain of the function</h3>
This is the set of input values
In (a), we have:
x ≤ -1 and x > 2
Hence, the domain is (∞, 3] u (2, ∞)
<h3>The range of the function</h3>
This is the set of output values
In (a), we have:
f(x) = 3 and f(x) -1
Hence, the range is [3] u (-1)
Read more about piecewise function at:
brainly.com/question/18859540
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Answer: First option
Step-by-step explanation:
You have the quadratic equation given in the problem:

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.
These numbers would be -15 and 2.
Therfore, you obtain the following equivalent expression:

If you don't want to apply the method above, you can use the quadratic formula:

Where:

When you susbstitute values you obtain that:

Then you can rewrite the equation as 