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notsponge [240]
3 years ago
13

Note: We can only use the expanded power rule when there isn't any addition or subtraction. In the example below you need to mul

tiply.
Simplify. (5t + 3)​
Mathematics
1 answer:
Simora [160]3 years ago
4 0
21 hope this helps and your welcome
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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
Viefleur [7K]

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

4 0
3 years ago
Read 2 more answers
Hiii how are you guys doing if you answer this I’ll give you points and make you brainly or what ever it’s called and how do you
baherus [9]

Answer:

Hi how is your day going?

Step-by-step explanation:

I have some jokes and I hope you like them.

Knock Knock.

Who's There?

Scold.

Scold who?

Scold outside, let me in!

Knock Knock.

Who's there?

Tank.

Tank who?

You're Welcome!

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3 years ago
7w-180=52w what does w equal
BartSMP [9]

Answer: w= -4

Step-by-step explanation:

7w-180=52w

Subtract 7w on both sides.

-180=45w

Divide both sides by 45.

-4=w

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3 years ago
How do I change this into a reduced fraction
Ivahew [28]
4 over 5 is the correct answer
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3 years ago
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7th grade math plsssssss help
Aloiza [94]

Answer:

64

Step-by-step explanation:

length(l)=8cm

breadth(b)=2cm

height(h)=4cm

volume=l×b×h

=8cm×2cm×4cm

=64cm³

5 0
3 years ago
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