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otez555 [7]
3 years ago
10

A ball dropped from the top of a building can be modeled by the function f(t)=-16^2+36, where t represents time in seconds

Mathematics
2 answers:
sp2606 [1]3 years ago
5 0

Answer

B,C,E,G

Step-by-step explanation:

Viefleur [7K]3 years ago
4 0

Answer:

The ball is dropped from a height of 36 feet

The bee and the ball will collide after approximately 1.3 seconds

The bee and the ball will collide at approximately 8 feet above the ground

The ball hits the ground after 1.5 seconds

Step-by-step explanation:

<u><em>The complete question is</em></u>

A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.

The graph represents the situation.

select all that apply

1) The bee launches into flight from the ground.

2) The ball is dropped from a height of 36 feet.

3) The bee and the ball will collide after approximately 1.3 seconds.

4) The bee and the ball will collide after approximately 8 seconds.

5) The bee and the ball will collide at approximately 8 feet above the ground.

6) The bee and the ball will not collide.

7) The ball hits the ground after 1.5 seconds

see the attached figure to better understand the problem

<u><em>Verify all the options</em></u>

case 1) The bee launches into flight from the ground.

The statement is false

Because

we have

g(t)=3t+4

For t=0

g(t)=3(0)+4=4\ ft

That means ----> The bee launches into flight from a height 4 feet above the ground

case 2) The ball is dropped from a height of 36 feet

The statement is true

Because

For t=0

f(t)=-16(0)^2+36=36\ ft

case 3) The bee and the ball will collide after approximately 1.3 seconds

The statement is true

Because

Equate f(t) and g(t)

-16t^2+36=3t+4

-16t^2-3t+32=0

solve the quadratic equation by graphing

The solution is t=1.324 sec

see the attached figure N 2

case 4) The bee and the ball will collide after approximately 8 seconds

The statement is false

Because, the bee and the ball will collide after approximately 1.3 seconds (see case 3)

case 5) The bee and the ball will collide at approximately 8 feet above the ground

The statement is true

Because

For t=1.324 sec

substitute the value of t in f(t) or g(t)

g(t)=3(1.324)+4=7.97\ ft

case 6) The bee and the ball will not collide

The statement is false

see case 3) and case 5)

case 7) The ball hits the ground after 1.5 seconds

The statement is true

Because

we know that

The ball hit the ground when the value of f(t) is equal to zero

so

For f(t)=0

-16t^2+36=0

t^2=\frac{36}{16}

t=\frac{6}{4}=1.5\ sec

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Varvara68 [4.7K]

To find the inverse we swap y and x and solve for y:


x = 9y + 15


x - 15 = 9y


y = (x-15)/9


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3 years ago
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igor_vitrenko [27]

Answer:

(m−15)(m+2)

Step-by-step explanation:

m² - 13m - 30?

Formula :

{x}^{2} +bx+c

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A box of cereal weighs 600 grams. How much is this weight in pounds. Explain or show your reasoning.
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5 0
3 years ago
The measures of the angles in △ABC are given by the expressions in the table.
spayn [35]

Answer:

Part 1) x=25

Part 2) m\angle B=65^o

Part 3) m\angle C=50^o

Step-by-step explanation:

step 1

Find the value of x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle ABC

m\angle A+m\angle B+m\angle C=180^o

substitute the given values

65^o+(3x-10)^o+(2x)^o=180^o

Solve for x

(5x+55)^o=180^o

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step 2

Find the measure of angle B

we know that

m\angle B=(3x-10)^o

substitute the value of x

m\angle B=(3(25)-10)=65^o

step 3

Find the measure of angle C

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substitute the value of x

4 0
3 years ago
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KiRa [710]
For this case what you should do is use the equation shown.
 We have then:
 n * A = 360
 Where:
 A=Angle
 n: number of divisions.
 We observe that there are eight divisions. Thus:
 n = 8
 We then clear the angle between each division
 8 * A = 360
 A = 360/8
 A = 45 degrees
 Answer:
 The measure of the angle between the mirrors is:
 
A = 45 degrees
8 0
3 years ago
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