Describe three different substitutuion method

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0

2 years ago

I've ordered this shed. It is 2 meters wide, 3.25 meters long and 2 meters tall to the roof line. From the roof line to the peak

Alecsey [184]

Answer:

18.2 cubic meters.

Step-by-step explanation:

From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.

The volume would be:

V = height * width * length

According to the statement height = 2, width = 2 and length = 3.25

V = 2 * 2 * 3.25

V = 13

That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:

V = 2.8 * 2 * 3.25

V = 18.2

That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.

6 0

3 years ago

What is the measure of angle GXD?

s2008m [1.1K]

Answer:

75 = GXD

Step-by-step explanation:

We know that CXE is a straight line

A straight line is 180 degrees

CXE = CXG + GXD +DXE

Substituting what we know

180 = 85+ GXD + 20

Combine like terms

180 = 105+GXD

Subtract 105 from each side

180-105 = 105-105 +GXD

75 = GXD

7 0

3 years ago

Select all words that can represent multiplication.

Degger [83]

Answer:

Product, twice and area

Step-by-step explanation:

The product is the result of the multiplication of the factors.

Product = answer to a multiplication problem

Twice means multiply by 2

Area is found by multiplying the dimensions of a plane figure.

5 0

2 years ago

assume that random guesses are made for 9 multiple choice questions on an SAT test, so that there are n=9 trials, each with prob

Orlov [11]

Answer:

though this looks difficult. It's easier than you think. Just not visible until its visible. If I knew the answer, i would have told you... sorry.

8 0

3 years ago