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Anika [276]
3 years ago
14

The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown u

pward. Which statements are true? Check all that apply. The ball is at the same height as the building between 8 and 10 seconds after it is thrown. The height of the ball decreases and then increases. The ball reaches its maximum height about 4 seconds after it is thrown The ball hits the ground between 8 and 10 seconds after it is thrown. The height of the building is 81.6 meters.

Mathematics
2 answers:
Anna [14]3 years ago
9 0
• The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.

• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.

• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.

• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.

• The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.


1. TRUE
2. False
3. TRUE
4. False
5. False
damaskus [11]3 years ago
6 0

Answer:

A and C

Step-by-step explanation:

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Mark made a scale drawing of a soccer field, using a scale of .5 cm=1m. The actual length of the field is 110 m. What is the len
nataly862011 [7]

Answer:

The length of the field on the drawing is 55 cm.

Step-by-step explanation:

Given:

Mark made a scale drawing of a soccer field.

Using a scale of .5 cm=1 m.

The actual length of the field is 110 m.

Now, to find the length of the field on drawing.

Let the length of the field on drawing be x.

As given 0.5 cm is equivalent to 1 m.

Thus, x is equivalent to 110 m.

Now, to get the length of the field on drawing by using cross multiplication method:

\frac{0.5}{1} =\frac{x}{110}

<em>By cross multiplying we get:</em>

⇒ 55=x

⇒ x=55

Therefore, the length of the field on the drawing is 55 cm.

8 0
3 years ago
Two roots of a 3 degree polynomial equation are 5 and-5
notka56 [123]
Hello,

I suppose you want the equation

There are 2 infinite solutions:
y=k(x-5)²(x+5)
or
y=k(x-5)(x+5)²

3 0
3 years ago
From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the d
mr_godi [17]

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

4 0
3 years ago
The function f(x)=600+2x over x yields the average cost in dollars for a company to produce x calendars. Which statement best fi
nevsk [136]

Answer:

The correct option is a.

Step-by-step explanation:

The average cost function is

f(x)=\frac{600+2x}{x}

Where x is the number of calendars produced.

The average cost formula is

AC=\frac{\text{Total Cost}}{\text{Number of items}}

Therefore the total cost is defined b the function

g(x)=600+2x

Here 600 is the initial cost and the cost each unit is 2.

Initial cost is the fixed cost which occurs at zero level of productivity.

The company spends $600 on a new computer and printer before beginning the project. The option (a) is correct.

8 0
3 years ago
Read 2 more answers
Find the y-intercept of the line on the graph.<br>​
Darya [45]

Answer:

The y-intercept is the place where the line meets the y-axis

Step-by-step explanation:

7 0
3 years ago
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