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Rom4ik [11]
3 years ago
11

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in sec

onds:
A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet.

Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points)

Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points)

Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points)

Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds. Use complete sentences to support your answer. (3 points)

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:

Step-by-step explanation:

<h2><u>Part A</u></h2>

in interval ( 0 ; 2)

<h2><u>Part B</u></h2>

in interval (2; 4)

<h2><u>Part C</u></h2>

in interval  (4 ; 6 )

<h2><u>Part D</u></h2>

The graph shows that at first the ball rises up ; and then it is seen that it goes down and loses height to zero , from which it can be concluded that the height after 10 seconds remains unchanged and therefore the height of the ball after 16 seconds will be zero

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Jack lists all of the unique random samples of a certain sample size from a population. He then calculates the mean for each of
zimovet [89]

Answer:

In this case Jack is only using a part or sample of the total population, so he is doing a sample standard deviation. When you use the total population you are doing a population standard deviation, otherwise, it’s always going to be the sample standard deviation.

Both deviations have different notations. The notation for this type of standard deviation (the one used by Jack) is:

"n" for the number of observations (lowercase)

"x-bar" for the average of the sample

"s" for the standard deviation

"s^2" for the variance

5 0
3 years ago
If I made $20 in 4 hours, what is the rate at which I made money?
slega [8]

Answer:

it would be five each hour.

Step-by-step explanation:

8 0
3 years ago
Use an algebraic equation to find the measure of each angle that is represented in terms of x.
GuDViN [60]

The measure of each angle is 117°

Explanation:

Given that the two angles are (11x-26)° and (7x+26)°

We need to determine the measure of each angle.

<u>Measure of angles:</u>

From the figure, it is obvious that the two angles are vertically opposite angles.

By definition, we know that, the vertically opposite angles are always equal.

To determine the measure of each angle, we shall first find the value of x.

Thus, we have,

11x-26=7x+26

 4x-26=26

        4x=52

          x=13

Thus, the value of x is 13

Now, substituting x=13 in the angle (11x-26)°, we get,

(11(13)-26)^{\circ}=(143-26)^{\circ}

                    =117^{\circ}

The measure of the angle is 117°

Similarly, substituting x=13 in the angle (7x+26)°, we get,

(7x+26)^{\circ}=(7(13)+26)^{\circ}

               =117^{\circ}

The measure of the angle is 117°

Hence, the measure of each angle is 117°

6 0
4 years ago
Mini made a recipe that yields 4 and 1 over 2 cups. If each serving is 1 over 2 cup, which expression will help Mini determine t
Olenka [21]

Answer:

1/2x = 4 1/2

Where x = Number of servings = 9 servings

Step-by-step explanation:

Mini made a recipe that yields 4 and 1 over 2 cups.

1 recipe = 4 1/2 cups

1 serving = 1/2 cups

1/2 cups = 1 servings

4 1/2 cups = x servings

Cross Multiply

1/2 × x = 4 1/2

x = 4 1/2 ÷ 1/2

x = 9/2 ÷ 1/2

x = 9/2 × 2

x = 9 servings.

Therefore, the expression tha will help Mini to determine the number of servings her recipe will yield is

1/2x = 4 1/2

Where x = Number of servings = 9 servings

4 0
3 years ago
An elevator at a hotel is descending as shown in the graph below.
Step2247 [10]

Answer:

y=15/2x+40

Step-by-step explanation:

The slope is 15/2, and the y-intercept is 40.

6 0
3 years ago
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