The formula for finding the surface area of a cube is 6s 2 to the second power, where s is the length of each side of the square. Evaluate for s=10 to find the number of square centimeters (cm2 to the second power) for the surface area of a cube with a side length of 10 cm. (1 point)
To evaluate the formula for s=10, we substitute the value of s into the formula:
Surface Area = 6s^2
Surface Area = 6(10)^2
Surface Area = 6(100)
Surface Area = 600
Therefore, the surface area of a cube with side length 10 cm is 600 square centimeters.
Alicia works for Thomas Edison Electrical Company. She earns $100 for going to a customer’s house and $65 per hour, h, for the job. This is modeled by 65h+100. Evaluate for h=3 to find how much Alicia will earn for a job that takes 3 hours.(1 point)
To evaluate the expression 65h + 100 for h = 3, we substitute the value of h into the expression:
Earnings = 65h + 100
Earnings = 65(3) + 100
Earnings = 195 + 100
Earnings = 295
Therefore, Alicia will earn $295 for a job that takes 3 hours.
A competitive cliff-diver jumps from a height of 75 feet. Find the number of feet the diver is above the ocean in 2 seconds. Evaluate for t=2 by using the formula 75−16t 2 to the second power, where t is time in seconds. (1 point)
To find the number of feet the diver is above the ocean in 2 seconds, we substitute t = 2 into the formula 75 - 16t^2:
Height = 75 - 16t^2
Height = 75 - 16(2)^2
Height = 75 - 16(4)
Height = 75 - 64
Height = 11
Therefore, the diver is 11 feet above the ocean in 2 seconds.
Gabrielle wants to put a border around her garden. It costs $1.50 per yard for the materials. Use 1.50(2l+2w), where l is the length and w is the width of her garden, to find the cost for a garden that has a length of 4 yards and a width of 3 yards.(1 point)
To find the cost for a garden with a length of 4 yards and a width of 3 yards, we substitute l = 4 and w = 3 into the formula 1.50(2l + 2w):
Cost = 1.50(2l + 2w)
Cost = 1.50(2(4) + 2(3))
Cost = 1.50(8 + 6)
Cost = 1.50(14)
Cost = 21
Therefore, it will cost $21 for Gabrielle to put a border around her garden.