Response:
Volume of the trapezoidal prism = 15x^2 cubic units
Detailed explanation:
First, let’s calculate the area of the trapezoidal bases.
The lengths of the parallel sides are x and 2x, averaging to 1.5x.
The height stands at x
Consequently, area of the trapezoidal base comes out to be 1.5x * x = 1.5x^2
The volume of this prism is computed as area of the base multiplied by height
(the length is not a factor, but height certainly is)
Thus, 1.5x^2 * 10 yields 15x^2
Response:
Step-by-step explanation:
Information given:
Objective:
Calculate the maximum and minimum values
The max value is found as follows:
The min value is identified as follows:
Answer:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
Step-by-step explanation:
Based on the details provided:
Employees with less than 3 years receive an increase of $0.50 hourly
Employees with at least 3 years but under 6 years receive $1.00 increase hourly
Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly
Employees with at least 9 years but below 12 years receive $2.00 increase hourly
This information can be expressed as a piecewise function:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
The conditions are outlined in the piecewise function above with x indicating the number of years employed.
The precise distance between the two points is calculated to be 10.
