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

Laila and Young each made a model volcano. Laila's volcano weighs 3 times as much as Young's. Laila's volcano weighs 9 pounds.
How much does Young's volcano weigh?
A3 pounds
B. 6 pounds
c 12 pounds
D. 18 pounds
E 27 pounds

Answers

Answer:

3

Step-by-step explanation:

The answer to this question is A

Write two expressions which are equivalent to 24x + 8.

Answers

[tex]8(3x + 1)[/tex]

Factor out 8 from the expression

the product of 9 and c

Answers

Answer:

The answer is 9c or 9 × c..

GF GF
is justified as a step in a proof using the Reflexive Property of Congruence
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Alternate Interior Angles Theorem
Hypotenuse-Leg Theorem
Reflexive Property of Congruence
ASA Triangle Congruence Theorem

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Answer:

Reflexive property of congruence.

Step-by-step explanation:

Answer:

reflective property

Step-by-step explanation:

jfjdjdjdjdjfjfjfjfuud

What is the slope between:
(2,5) (4, 13)

Answers

Answer:

m = 4

you can find the answer for this on m a t h w a y (without the spaces)

I hope this helps!

Answer:

4

Step-by-step explanation:

slope = y2-y1 / x2-x1

13-5= 8

4-2=2

8/2= 4

How do you write 6x (to the 3rd power) -60x (to the 2nd power) +144x in factored form?

Answers

Answer:

6x(x-4)(x-6)

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

=6x(x−4)(x−6)

A blueprint for a new triangular playground shows that the sides
measure 480 ft, 140 ft, and 500 ft. Is the playground in the shape of
a right triangle? Explain.

Answers

Answer:

no

Step-by-step explanation:

because it is not equal numbers

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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Debra made $228 for 12 hours of work.
At the same rate, how many hours would she have to work to make $323?

Answers

Answer:

17 hours

Step-by-step explanation:

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.

I hope this helps!

The measures of the angles of a triangle are shown in the figure below.Solve for X

Answers

x=9, all angles will add up to 180. 180-63-38=79. 79=9x-2. 81=9x. divide by 9, x=9.

I hate mathhhhhhhhhhh

Answers

Answer:

dont we all

Step-by-step explanation:

Answer:

r is a variable, 3/5 is a constant, 1 and 1/4 is a coefficient

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:

YEAR 9 MATHEMATUCS ALGEBRA

Answers

Answer:

Your answer is :

B. 6a^2 + 3ab

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

Step-by-step explanation:

2.

Which equation best describes the graph??

y = 3x + 1
y = -3x + 1
y = -3x - 1
y = 3x - 1

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

Will Mark brainliest if answer both correctly / What is X= ? / conditional statement

Answers

The answer is for 1st question is “10.4” and for the second question “non of these choices are correct”.

Explanation:

For the 1st question:

tan = opposite / adjacent

tan 30 = x / 18

18 tan 30 = x

x = 10.4

For the 2nd question,
If a triangle as an angle of 90 degree, it is 100% a right triangle.

Hope it helps :), mark me brainliest please!

Are the ratios 2:3 and 3:2 equivalent?
Yes
No

Answers

Answer:

no

Step-by-step explanation:

Answer:

no , they not equal they are different

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

Can anyone help please!!!

Answers

Answer:

6x8x16x10

Step-by-step explanation:

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.
Identify a number of pages that the student could read per day in order to have at least 300 pages of the novel read in a week.
Explain how you know that your answer is appropriate.
Enter your answer and your work or explanation in the space provided.

Answers

Answer:

x=35

Step-by-step explanation:

7x+55≥300

    -55 -55

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

7x≥245

now divide both sides by 7

x=35

h/6-1=-3 h=?


please help​

Answers

The answer is

[tex]h = - 12[/tex]

it will look like that,.

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

Answer:

h= -12

Step-by-step explanation:

h/6+1= -3

h/6= -2

h= -12

1. 1 3/4 + 1/2 + 1/4 + 1/2
2. 5 5/8 - 2 6/7 - 2/7 -5/8
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Please answer these and help me!!!

Answers

yo mama is nice stay safe

Answer:

1. 3

2. 1 6/7

3.8 1/6

Step-by-step explanation:

hope this is correct:)

Help needed ASAP, please!

Answers

Answer:

percent 60%

fraction 60/100

ratio 60:40

(dk if it is)

Answer: 60% fraction: 6/10 ratio: 6:10

Step-by-step explanation:

Jan wants a bunch of balloons for her birthday party. There were 10 red, 12 blue, 13 green and 15 yellow balloons. What percentage is the blue balloons ?

Answers

Answer:

Should be 24%

Step-by-step explanation:

12/50= .24

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!

find the value of X ​

Answers

your answer would be 68

Determine if it’s relationship is a function.

Answers

Answer:

It is not a function

because: 4: 25 went to 4: 35

an input can not have two or more outputs

Step-by-step explanation:

ILL GIVE BRAINLIEST FOR FIRST ANSWER HELP


What is the volume of this rectangular prism?

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

Use the Distributive Property to find the product.

1 1/5x25=?

The product is .

Answers

Answer:

55

Step-by-step explanation:

you make 25 into its perfect square form and multiply

11÷5 x 5 x 5

Evaluate the expression for p = 9!

Answers

Answer:

362880

Step-by-step explanation:

P=3.14 and 3.14 times 9 equals 28.26


can someone solve this please , ill give Brainly to whoever is first :)

Answers

Answer:

630 in^2

Step-by-step explanation:

21 x 15 divided by 2 = 157.5

157.5 x 4 = 630

Answer:

Step-by-step explanation:

I person who answers this is right

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