4. Given the diagram below what is the length of RS or the distance across a body of water?

1. The height of a missile t seconds after it has been fired is given by h=4.9t^2+44.1t. How many seconds will it take for the r

asambeis [7]

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: $x=\frac{-b}{2*a}$ . The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

$t=\frac{44.1}{2*(-4.9)}$

t=4.5

<u><em>The rocket will take 4.5 seconds to reach its maximum height.</em></u>

7 0

2 years ago

An extended recessionary period is indicative of

exis [7]

Answer:

D) the end of a recession.

Step-by-step explanation:

During the recession period, the unemployment rate is high which is indicative of depression and people suffer from financial crises and gross domestic product ...

4 0

3 years ago

Read 2 more answers

a scout meeting lasts 2 hours. if 36 minutes was spent on making dream catchers, what percentage of the meeting is left

Llana [10]

Answer:

70% of the meeting is left.

Step-by-step explanation:

Hi, to answer this question, first, we have to convert the hours to minutes.

Since 1 hour = 60 minutes

For 2 hours:

1 /60 = 2/x

x = 2 (60)

x = 120 minutes

So, a scout meeting last 120 minutes (2 hours)

36 minutes already spent.

120-36 = 84 minutes left

So, if 120 is the 100% of the meeting, for 84 minutes:

120/100 = 84/x

1.2 =84/x

x = 84/1.2

x = 70%

70% of the meeting is left.

8 0

3 years ago

What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?

Marrrta [24]

Answer:

C. (-2,4)

Step-by-step explanation:

We have been given a function $f(x)=|x+2|+4$ and we are asked to find the vertex of our absolute value function.

The rules for the translation of a function are as follows:

$f|x-h|=\text{Graph shifted to right by h units}$

$f|x+h|=\text{ Graph shifted to left by h units}$

$f|x|+h=\text{ Graph shifted upward by h units}$

$f|x|-h=\text{ Graph shifted down by h units}$

Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.

Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

$f(x)=|x--2|+4$