We have the expression:
When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.
That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.
If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).
Expression:
Answer: There is no restriction for x in the expression.
Let the length of the shorter sides be x, then
Perimeter = x + x + x + 5
29 = 3x + 5
3x = 29 - 5 = 24
x = 24/3 = 8
Therefore, the length of longest side is 8 + 5 = 13 m.
8/10 of a dollar is the correct answer
Answer: 7,333.32 m3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
V = 1/3 π (19.3)^2 (18.8) = 7,333.32 m3
The volume of the right circular cone is 7,333.32 cubic meters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
4.66
Step-by-step explanation:
We are given the following data
26, 26, 21, 22, 20, 25, 35
Step 1
We find the Mean
Mean = 26+ 26+ 21+ 22+20+25+ 35/7
= 175/7
= 25
Step 2
We find the Standard Deviation
The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager
= √(x - Mean)²/n
= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7
= √152/7
= √21.7142857
= 4.65985898
Approximately = 4.66
