Question 3 options:
The science club fires a rocket up into the air.

The height (h) of the rocket, in feet above the ground,

is modeled by the formula h=400t−16t2, where t is the time in

seconds after the rocket is launched.

How many seconds will it take for the rocket to fall to the ground?

Find the value of t, rounded to the nearest tenth.

[how many seconds it took for the rocket to hit the ground].

t =

Answers

Answer 1

The height of an object can be represented as a function of time.

It takes the rocket 25 seconds to hit the ground

The height function is given as:

[tex]\mathbf{h(t) = 400t - 16t^2}[/tex]

When the rocket hits the ground, we have:

h(t) = 0

So, the height function becomes

[tex]\mathbf{ 400t - 16t^2 = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 16t^2 = 400t}[/tex]

Divide both sides by 16t

[tex]\mathbf{ t = 25}[/tex]

Hence, it takes the rocket 25 seconds to hit the ground

Read more about height functions at:

https://brainly.com/question/22573423


Related Questions

1. Write the following statements in the from of equations.
a. One third of a number plus 7 is 26​

Answers

Answer: The number is 57

Step-by-step explanation:

Lemme tell you , We dont know the number , so we imagine it as x

so the question says one third of a number , so 1 third is 1 divided by 3 and if we imagene the number as x , we can write x/3 .

So x/3 +7 = 26 , as the equation says one third of a number plus 7 is equal to 26.

So write the lcm of 3 and 7 and then cross multiply , and subtract . you get      

x = 57 , and we imagined x as the number so if x is 57 , so the number we have to find is also 57 . Done Easy .

Find the missing side K
K
53
45

Answers

Answer:

k=28

Step-by-step explanation:

Four times a number, increased by 10, is -2
what is the number?

Answers

Answer:

-3

Step-by-step explanation:

-3 × 4 = -12

-12 + 10 = -2

Which of the following properties of equalities can’t be used when solving 3x+6=10-x

Answers

Answer:

Step-by-step explanation:

C

Answer:

c) multiplication

Step-by-step explanation:

what is the slope of the equation above?

Answers

answer: slope is 3/7

Question in Image Rearranging Algebra expressions Will give brainliest.

Answers

1. x = z/y 10. a = 2s - b - c
2. d = St 11. m = p/n
3. n = N/r 12. f = 2jg
4. T = C/R 13. b = -a + 2c
5. m = Ln 14. q = 4p/r
6. u = v - at 15. C = -L + 2a + 3b
7. p = r/q 16. a = 4d - 2b - 3c
8. y = X - 2z 17. c = b^2 - a^2
9. b = 3c - 2a

18. r = -p^2 + q^2 + 3
19. r = t - 2s

phew, that was a lot. i hope this helps you and that you get a good grade!!

The first term of a geometric sequence is -2 and the common ratio is 3, What is the sixth term of the sequence?

Also, Write the Recursive Rule fo the seqeunce from above ^

Answers

Answer:

a₆ = - 486

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = 3 , then

a₆ = - 2 [tex](3)^{5}[/tex] = - 2 × 243 = - 486

The recursive rule allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is

[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] with a₁ = - 2

help me with this one guys......

Answers

Answer:

[tex]7^-^1[/tex]

Step-by-step explanation:

So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.

What are the terms in the expression 4 + 9V +6w?

Answers

Answer:

4, 9v, and 6w

Step-by-step explanation:

I'm pretty sure it's right

What is the result of adding these two equations?
5x - y = 6
-2x + y = 8

Answers

Answer:

3x = 14

Step-by-step explanation:

Given the two linear equations, 5x - y = 6 and -2x + y = 8:

We can add both equations the same way we add integers.  The only difference is that we add the terms with the same variables.

    5x  - y   =  6

+  -2x + y   =  8  

   3x + 0y = 14  or  3x = 14

Therefore, the sum is 3x = 14.

2.67 is best classified as a ______________ number.

Fill the blank
Y

Answers

Answer:

rational

Hope this helps!

lmk if it does

solve for f

M-5N= f/t

Answers

Answer:

3.2

Step-by-step explanation:

Answer:

With the context you gave the awnser would be m≠5n

Step-by-step explanation:

ryan lives 3 1/4 miles from school. kayla lives 2 3/4 miles from school. how much farther from school does ryan live than kayla?

Answers

The answer to that is 1/2

Can somebody help me with this question, im stuck on it.

Answers

Answer:

180 degrees

Step-by-step explanation:

Transformations don't change the size or angles of a triangle.

We know the angle of T & S. We need to find R.

To do this we will do...

180 - (60+40) =

= 180-100

=80

R is 80 degrees.

Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.

Also, remember that triangles will ALWAYS add up to 180 degrees.

Hope this helps! Please give this a rating and press the heart button! Thanks!

The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet

Answers

Answer:

The casino is making 47 cents profit on your $1 bet

Step-by-step explanation:

19(1/38) + (-1)(37/38) = -0.4736

To practice for a competition, Christian swam 0.51 kilometer in the pool each day for 4 weeks. How many meters did Christian swim in those 4 weeks?

Answers

Answer:

14.28

Step-by-step explanation:

- 3/4(12x+16)<9-5x Show your work

Answers

Answer:

x > -5.25

Step-by-step explanation:

8m - 8 - 8 = 16
equation

Answers

Answer:

8m-16 =16

8m=16+16

8m =32

m=32/8

m=4

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY

An online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes. Use the explicit formula to determine how much the online store charges when shipping 11 items.

Answers

Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes.

From what we know so far,

y = 5n

Use the explicit formula to determine how much the online store charges when shipping 11 items.

y = 5(11)

y = 55 dollars

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

$55

Step-by-step explanation:

Since we are not given much information in this problem, we know this must be a pretty simple sequence. If we make a sequence of Natural Numbers and match it up to the prices we've been given, we get

1,2,3,4...

5,10,15...

The price is increasing by five dollars for every "n", so our sequence is just 5n. Extrapolating this out gives us $55 for n=11

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Answers

Answer:

The answer is B final answer becuase its all positive.

An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his 6 nephews and rented five pairs of ice skates.

He was charged $32. Juanita paid admission fees for her seven grandchildren and rented 5 pairs of ice skates. She was charged $35.25. What is the admission fee?

What is the rental fee for a pair of skates?

Answers

Answer:

if we let admission fee per child to be a and the rental fee for the skates  to be s.

Then john 6a + 5s =32

Juanita     7a + 5s = 35.25

Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.

        6a + 5s = 32

        7a + 5s = 35.25

we get -a + 0s = -3.25     therefore a= 3.25

Then we can solve for s by substituting a in either of the two equations

 6 (3.25) + 5s =32

 19.5 + 5s =32

            5s = 12.5

               s = 12.5/5

               s = 2.5

Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.

Step-by-step explanation:

I'M GIVING BRAINLIEST!!!!!!!!!!!

Answers

Answer:

i dont know

Step-by-step explanation:

MEEEEEEEEEE please

I need a answer please help me with this
Geometry

Answers

Answer:

where are answer can u say

Find x and y. ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answers

[tex]\\ \sf\longmapsto 2x+11=3x-9[/tex]

[tex]\\ \sf\longmapsto x=11+9[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

And

[tex]\\ \sf\longmapsto y+10=2y-40[/tex]

[tex]\\ \sf\longmapsto 2y-y=10+40[/tex]

[tex]\\ \sf\longmapsto y=50[/tex]

Step-by-step explanation:

x

2x + 11 = 3x - 9

2x - 3x = -9 - 11

x = -20

[tex] \: [/tex]

y

y + 10 = 2y - 40

y - 2y = -40 - 10

-y = -50

y = 50

To make five dinners 1/3 cup of flour is used how many cups of flour are needed to make 3 dozen dinner rolls

Answers

Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

A string of length if meter is cut into 6 equal pieces. What is the
total length of 2 of the pieces? You need to simplify.

Answers

Answer:

1/3

Step-by-step explanation:

2/6=1/3

Which point is in the graphed solution set of this system of inequalities?
4x-3y<12
6x+3y>5

A. (2,2) B. (0,-6) C. (2,-1) D. (-2,0)

Answers

Answer:

01110100 01101000 01100101 00100000 01101101 01100001 01110100 01110010 01101001 01111000

Step-by-step explanation:

8 less than 4 times a number is 76. Find the number.

Answers

Answer:

the answer is twenty one

The quotient of k and 9 is greater than 1/3

Answers

k/9 > 1/3
i believe this is how it is represented.

Find the missing side of the right
triangle.
7
4
Х
x= [?]
Enter the number that belongs in the green box,

Answers

Step-by-step explanation:

using Pythagoras theorem,

(hypotenuse)² = (perpendicular)² + (base)²

given that, hypotenuse =x, perpendicular =7, base =4

(x)² = 7² + 4²

(x)² = 49 + 16

x = √65

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