An egg is dropped from a height of 36 feet. The quadratic equation d = -t² + 36 provides the distance, d, of the egg, after t seconds. After how many seconds, does the egg hit the ground?

The egg hits the ground after 6 seconds.

Step-by-step explanation:

Given that an egg dropped from a height of 36 feet, this means the egg was 36 feet away from the ground.

The distance is given as

d = -t² + 36

The egg hits the ground when the distance, d, from the ground is zero.

That is when

-t² + 36 = 0

Or

t² = 36

Taking square roots of both sides

t = ±√36

t = ±6

Since we are dealing with distance, we take the positive value.

So, t = 6 seconds

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.