Which is the quotient of 11/12 divide by 5/7

A rocket is launched from a tower what time will the rocket reach its max

Lena [83]

Answer:

Step-by-step explanation:

A science class designed a ball launcher and tested it by shooting a tennis ball up and off the top of a 15-story building. They determined that the motion of the ball could be described by the function: h(t) = -16t2 + 144t + 160, where ‘t’ represents the time the ball is in the air in seconds and h(t) represents the height, in feet, of the ball above the ground at time t.

a) Graph the function h(t) = -16t2 + 144t + 160 (see below)

b) What is the height of the building?

The height of the building is also the height of the tennis ball before it is launched into the air. This occurs when t=0 so substitute 0 for t and you get:

H(0) = -16(0)2 + 144(0) + 160

The height of the building is 160 feet.

c) At what time did the ball hit the ground?

The ball hits the ground when the height is 0. Therefore, we are looking for a solution to: -16t2 + 144t + 160 = 0

Use the quadratic formula or put this into a calculator. The solution is t=10 and -1, but only 10 makes sense. Therefore, the ball hits the ground at 10 seconds.

d) At what time did the ball reach its maximum height?

You can put this into the calculator or you can realize that the maximum height is also

− the vertex. The x-value (‘t’ in this case) is 2

−144

which is (2)(−16) = 4.5.

Therefore, the ball reached its maximum height at 4.5 seconds.

e) What is the maximum height of the ball?

We calculated the time of the maximum height (4.5 seconds). Therefore, substitute 4.5 into the function to find the maximum height.

-16(4.5)2 + 144(4.5) + 160

The maximum height is 484 feet.

5 0

2 years ago

The endpoints of the segment AB are A(-2,4) and B(4,0). Find the endpoints of the image after the segment is reflected over the

serious [3.7K]

Answer:

A' ( 2, 4) and B' ( -4, 0)

Step-by-step explanation:

A ( -2, 4) and B( 4,0) reflected over the y-axis

A' ( 2, 4) and B' ( -4, 0)

the y-coordinate do not change and the x is opposite sign

(x,y) reflected over y-axis (-x, y)

3 0

3 years ago

Which graph represents y = StartRoot x EndRootWhat is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFrac

romanna [79]

The equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3

<h3>What is the graph of the parent function (y)?</h3>

The set of all coordinates (x, y) in the plane that satisfy the equation y = f(x) is the graph of the function. Suppose a function is only specified for a small set of input values, the graph of the function will only have a small number of points, in which each point's x-coordinate represents an input number and its y-coordinate represents an output number.

From the given information,

The domain for the $\mathbf{y=\sqrt{x}}$ is at x ≥ 0,
The range is the set of values that the dependent variable for which the function is defined. f(x) ≥ 0.