A fireworks shell is fired from a mortar. Its height in feet is modeled by the function h(t) = −16(t − 8)^2 + 1,024, where t is the time in seconds. If the shell does not explode, how long will it take to return to the ground?

It takes

seconds for the unexploded shell to return to the ground

Answers

Answer 1

It takes 16 seconds for the unexploded shell to return to the ground.


The given function that models the height of a firework shell fired from a mortar is h(t) = -16(t - 8)² + 1024, where t is the time in seconds. We want to find out how long it will take for the shell to return to the ground when it doesn't explode.

To find the time it takes for the shell to reach the ground, we set the height function h(t) equal to zero and solve for t.

So, we have:

-16(t - 8)² + 1024 = 0

Dividing both sides of the equation by -16, we get:

(t - 8)² = 64

Taking the square root of both sides, we have:

t - 8 = ±8

Solving for t, we have two solutions:

t - 8 = 8, which gives t = 16

t - 8 = -8, which gives t = 0

The shell hits the ground when t = 0, which is the starting time.

In summary, it takes 16 seconds for the unexploded shell to return to the ground.

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Related Questions

What is the value of Fraction 1 over 2 x3 + 3.4y when x = 3 and y = 4? (4 points)15.85 18.1 27.1 31.6

Answers

The correct answer is 27.1

17x>−17.................

Answers

What? I’m confused what your asking.

Answer:

Divide each term in 17x > −17 by 17.

17x/17 > −17/17

Cancel the common factor of 17.

x > −17/17

Divide −17 by 17.

x > −1

The result can be shown in multiple forms.

Inequality Form:

x > −1

Interval Notation:

( −1 , ∞ )

Step-by-step explanation:

ILL GIVE BRAINLIEST FOR FIRST ANSWER HELP


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Answers

Answer:

The answer is 56 cm^3

Step-by-step explanation:

2 = height

7 = length

4 = width

Formula: LxWxH

2 x 7  x 4 = 56

A seventh-grade student wants to read at least 300 pages of a novel this week. He has already read 55 pages. An inequality that represents this situation is 7x+55≥300.

Solve this inequality for x, the number of pager per day.
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Explain how you know that your answer is appropriate.
Enter your answer and your work or explanation in the space provided.

Answers

Answer:

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Step-by-step explanation:

7x+55≥300

    -55 -55

--------------------

7x≥245

now divide both sides by 7

x=35

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yo mama is nice stay safe

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630 in^2

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I person who answers this is right

solve this system of equations by using the elimination method.

2x-3y=25
5x+3y=10

Answers

Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.

2x-3y=251️⃣

5x+3y=102️⃣

Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:

1️⃣+2️⃣

2x-3y+5x+3y=25+10

7x=35

x=5

Then we can substitute the value of x back into either of the 2 equations.

2*5-3y=25

10-3y=25

3y=-15

y=-5

Then write the 2 answers together.

{x=5

{

{y=-5

Now we can check our answers.

2*5-3*-5=10- -15= 10+15=25 Correct

5*5+3*-5= 25+ -15= 10 Correct

From this we can see that x=5 y=  - 5 are the correct answers!

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dont we all

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Step-by-step explanation:

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Answer:

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4

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please help​

Answers

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it will look like that,.

[tex] \frac{ - 12}{6} - 1 = - 3[/tex]

Answer:

h= -12

Step-by-step explanation:

h/6+1= -3

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is justified as a step in a proof using the Reflexive Property of Congruence
Choose...
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Reflexive property of congruence.

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Answers

Answer:

17 hours

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Set up a proportion: [tex]\frac{12}{228} = \frac{x}{323}[/tex]  Cross multiply, then divide: 12 × 323 = 3876, 3876 ÷ 228 = 17So, she would have to work 17 hours to make $323.

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percent 60%

fraction 60/100

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Step-by-step explanation:

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Answers

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Should be 24%

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Answers

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Step-by-step explanation:

I assume your expression is:

6x^3-60x^2+144x.

I'll use that information.

Factor 6x^3−60x^2+144x

6x^3−60x^2+144x

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The answer is 9c or 9 × c..

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55

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Answer:

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Explanation:

For the 1st question:

tan = opposite / adjacent

tan 30 = x / 18

18 tan 30 = x

x = 10.4

For the 2nd question,
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Which expression is equivalent to 1/2b -15?

A. -1/2 (b + 30)

B. -1/2 (b - 30)

C. 1/2 (b - 30)

D. 1/2 (b + 30)

Answers

C

Using the distributive property, 1/2(b - 30) would end up being (1/2b) - ((1/2)30). 1/2 times 30 is 15. So 1/2b - 15.

The  expression  1/2b -15 is equivalent to, 1/2(b-30), So option C is correct

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

An expression,  1/2b -15

The expressions are equivalent = ?

So now, we can take 1/2 common from the expressions

⇒    1/2b -15(2/2)

⇒   1/2(b -15×2)

⇒   1/2(b - 30)  

Hence, the equivalent expression is,  1/2(b - 30)  

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find the value of X ​

Answers

your answer would be 68

2.

Which equation best describes the graph??

y = 3x + 1
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Answers

Answer:

y = 3x + 1

Step-by-step explanation:

YEAR 9 MATHEMATUCS ALGEBRA

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Answer:

Your answer is :

B. 6a^2 + 3ab

Markn my answer as brainlist . Follow me for more answer.

Step-by-step explanation:

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