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.

To know more about function, click here

https://brainly.com/question/30721594

#SPJ11


Related Questions

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

1. 1 3/4 + 1/2 + 1/4 + 1/2
2. 5 5/8 - 2 6/7 - 2/7 -5/8
3. 9 5/6 + 1 1/4 + ___ = 14
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:)

Evaluate the expression for p = 9!

Answers

Answer:

362880

Step-by-step explanation:

P=3.14 and 3.14 times 9 equals 28.26

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

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

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.

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:

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:

the product of 9 and c

Answers

Answer:

The answer is 9c or 9 × c..

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:

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!

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

Answers

Answer:

Reflexive property of congruence.

Step-by-step explanation:

Answer:

reflective property

Step-by-step explanation:

jfjdjdjdjdjfjfjfjfuud

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:

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!


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

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

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)  

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

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

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

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

Answers

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

Factor out 8 from the expression

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

Can anyone help please!!!

Answers

Answer:

6x8x16x10

Step-by-step explanation:

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

find the value of X ​

Answers

your answer would be 68

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:

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!

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)

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

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

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

Other Questions
___________control is a type of control that tends to be most widely used in small firms. the blockchain technology that creates tokens is an intangible product that was created by peoples minds. in other words, it is a type of: _____. What is the value of SSWithin if SSbetween = 236 and SS Total = 290? A) 526 B) 0.81 0912 C) 54. OF D) None of the above. the non-linear equation relating pressure drop (AP) and flow rate (q) for an orfice is: 2AP ) Develop a substitute linear equation that we could use in the neighborhood of AP-2 0000 C, = 0.6 40-00005 rho-850 (all in compatible units) Consider the matrix representing the relation R on {1, 2, 3, 4} shown here. MR=1 1 1 0101001111011List the ordered pairs in relation R b. 4 points. Show whether Ris i. reflexive ii. symmetric iii. antisymmetric iv. transitive C. 4 points. Draw a digraph representing R. A company has purchased a new system, but security personnel are spending a great deal of time on system maintenance. A new third party vendor has been selected to maintain and manage the companys system. Which document types would need to be created before any work is performed? Complete the flow diagram, using the information from above Just as in the Miyaoka simulation, every job leaves Station 2 the first time and goes to Station 3. Station 3 jobs return to Station 2 and get in line at the queue for Station 2 (see arrow from Station 3). When those jobs that had already completed Station 3 finish at Station 2 they exit Assume there are no material stockouts Materials suppose you are using the limit method to determine the asymptotic relationship between two functions. Determine the molar solubility of BaF2 in a solution containing 0.0750 M LiF. Ksp (BaF2) = 1.7 10-6, QA 2.3 10-5 M B. 8.5 10-7 M Oc, 1.2 10-2 M O D.0.0750 M CE 3.0 10-4 M 1) if mpc is 0.6 and mpm is 0.10, then the open economy multiplier is ______. 11) ______ a) 0.50 b) 1.35 c) 2.00 d) 2.50 into which group would you place a unicellular organism that has 70s ribosomes and a peptidoglycan cell wall?group of answer choicesa. plantaeb. bacteriac. animaliad. protiste. fungi the excavation of town cultures from the mid-fifth millennium b.c.e. in mali and mauritania bolster the hypothesis that ____________. the use of operational definitions allows other scientists to replicate your measurements.T/F about 2.0 billion years ago, complex organisms began to inhabit earth. these complex organisms developed primarily because of - In reviewing the actions of the U.S. Bureau of Land Management and other federal agencies, the courtsare usually reluctant to review questions of fact.rarely defer to the technical expertise of administrative agencies.often rule on the merits of policy determinations.never defer to an agencys interpretation of law. An electric turntable 0.750 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.250 rev/s and a constant angular acceleration of 0.900 rev/s^2. Compute the angular velocity of the turntable after 0.200s Through how many revolutions has the turntable spun in this time interval? Why did the Rich live in the European city centers Cameron surveyed her friends about the number of apps they use. The responses were 15, 16, 18, 9, 18, 4, 19, 20, 17, and 36 apps. Use the range and interquartile range to describe how the data vary. which non-hodgkins lymphoma is included in the classification of t-cell and nk-cell lymphomas? calculate n (in 2008) for carbon-14 in charred plant remains for two different eruptions of mt. vesuvius, 472 ad and 512 ad. (t1/2 for 14c = 5730 yr)a. 472 AD, n = _______ b. 512 AD, n = _________