Answer:
The surface area of the square prism is 
Step-by-step explanation:
we know that
The surface area of the square prism is equal to

where
b is the length side of the square base
h is the height of the prism
In this problem we have


substitute

Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:

Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

Substitute:

Solve for <em>k</em>. Simplify:

Solve:

Thus, our answer is indeed A.
Answer:
B 9/10
Step-by-step explanation:
3/5 ÷2/3
Copy dot flip
3/5 * 3/2
9/10
I think it is 15 percent is a statistic.
I am not 100% sure if it is right or not but I hope it helps!
Answer:
Dimensions: 
Perimiter: 
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:

This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:

The function we want to optimize is the diameter.
We can express the diameter as:

To optimize we can derive the function and equal to zero.

The minimum perimiter happens when both sides are of size 16 (a square).