Mathematics High School

a toy rocket is launched from the top of a 48 foot hill. the rockets initial upward velocity is 32 feet per second and its height (h) at any given second (t) is modeled by the equation : h= -16t^2 + 32t +48.
Find the highest point the rocket reaches. show your work

Answers

Answer 1

Answer:

Maximum height is 64 feet

Step-by-step explanation:

For all: h= -16t²+ 32t + 48

1) AOS -> a = -16; b = 32; c = 48

x = -b/2a -> x= -32/(2×-16) = -32/-32 = 32/32 = 1/1 = 1

2) Plug in AOS

h = -16(1)² + 32(1) + 48

h= -16 + 32 + 48

h= 16 + 48

h= 64

Max height is 64

Related Questions

(3-5i)^2
i know the answer I’m just confused on how to get to that point. Please and thank you!

Answers

[tex](3-5i)^2\\\\=3^2-2(3)(5i) + (5i)^2\\\\=9-30i +25i^2\\\\=9-30i +25(-1)~~~~;[i^2=-1]\\\\=9-30i-25\\\\=-16-30i[/tex]

How many centimeters are there in 1 yard if there are 2.54 centimeters per inch? Show your work and express your answer without rounding.

Answers

Answer: 91.44

Step-by-step explanation:

There are 3 feet in a yard, 12 inches in a foot. 2.54 x 12= 30.48

30.48 x 3= 91.44

I hope this helps!

Please help I don't understand i'm in the lowest class?

Answers

Answer:

Step-by-step explanation:

please help NEED NOW

thank youu

Answers

Answer:

C

Step-by-step explanation:

not a hundred percent but it makes the most sense

Kenza is inviting 5 friends to a party each friend wants 4 cookies and each box has 10 cookies. How many boxes should Kenza get?

Answers

Answer:

solution

5x4=20

20-10=10

:kenza need 10 cookies

next method

solution

friends of kenza are =5

wanted cookies for per friends is=4

now

5x4

=20

again

20divide 10=2

then

: she need 2 box .

Answer:

Kenza should get 2 boxes.

Step-by-step explanation:

Total number of cookies needed

= 5×4

= 20

Number of boxes needed

= 20÷10

= 2

solve similar triangles (advanced)

Answers

Answer:

Step-by-step explanation:

There are 2 similar triangles.

EDA and CBA

From that we can get the following proportion.

ED / CB = AD / AB

Filling in the letters we get

6/x = (4 + 3)/3            Combine

6/x = 7/3                    Cross Multiply

7x =6*3

7x = 18                        Divide by 7

x = 2.57

4²+(3x6)-7 help please

Answers

Answer:

cevap 27

Step-by-step explanation:

4²+(3×6)-7

16+18-7

34-7

27

bu şekilde işlem sırası yanlış yazdıysam özürdilerim ama her türlü cevap 27 çıkıyor

7/18÷14/9 don't mind this I need 20 characters

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

Answer is 15-r .Hope it will help you

What is the volume of a sphere with a radius of 5.9 inch rounded to the nearest 10th of a cubic inch

Answers

Answer:

860.3

Step-by-step explanation:

43·π·5.93≈860.28954in³

860.28954 = 860.3

The volume of the sphere is V = 859.9 inches³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the radius of the sphere be r = 5.9 inches

Now , Volume of a Sphere = ( 4/3 ) πr³

On simplifying , we get

V = ( 4/3 ) ( 3.14 ) ( 5.9 )³

V = 859.853 inches³

Hence , the sphere has volume of 859.9 inches³

To learn more about sphere click :

https://brainly.com/question/27933834

#SPJ2

find the value of x²+y² if
x+y=9 xy=14​

Answers

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

8^3x=16^2x
Can you please solve this it is 8 to the power of 3x and 16 to the power of 2x

Answers

Answer:

2000kkkkkkkkkkklllllk

I need help eeeeeeeee​

Answers

Answer:

one left so they all shift by 1

PLEASE HELP QUESTION IN PIC

Answers

Answer:

(5, -4)

Step-by-step explanation:

Answer:

(5,-4)

Step-by-step explanation:

((0+10/2),(-2-6/2))

(10/2, -8/2)

(5,-4)

Please help! I would triple the points

Answers

Answer:

1033.33

Step-by-step explanation:

If you take 30 percent of a number and get 310, then what is that number? In other words, you know that 30 percent of a number is 310 and you want to know what that initial number is.

To solve this problem you multiply 310 by 100 and then divide the total by 30 as follows: (310 x 100) / 30

When we put that into our calculator, we get the following answer: 1033.33

You're welcome :)

Answer:1033.33

Step-by-step explanation:  i am changing to the right answer I am not copying I just don’t want people seeing the wrong answer

can you please help me​

Answers

Answer:

D

Step-by-step explanation:

It has to be angle angle angle because angle angle angle cannot be used to prove that any triangles are congruent

Answer:

D

Step-by-step explanation:

angle-angle-angle, isn't a clear way to proof that it's congruent, you can say, it's NEVER a way.

if we pick two respondents at random, what's the probability they both selected purple

Answers

Answer:

This depends on what other colors are in the question. But put 1/x  and replace the x with how many colors there are and thats thier probabilaty of choosing purple.

Step-by-step explanation:

Theres no possible way of knowing unless you already have met and or know the person so if theres green, blue, pink, yellow, and purple, theres 5 colors and purple is 1 out of them therefore, 1/5

What is the answer please help

Answers

x would equal 9

mark me brianliest
Answer: Nine i think


Find the slope of the line whose equation is 2x + y = 5.

Answers

Answer:

Slope is -2x

Step-by-step explanation:

2x + y =5

2x-2x +y= 5 -2x

y= 5 -2x

so y= -2x+5

and the slope is -2x so the answer is -2x

Kyle is setting out Japanese food for a party he is having. He has 9 avocado rolls and 18 cucumber rolls. If he wants each plate to be identical, with no rolls left over, what is the greatest number of platters Kyle can create? GCF and LCM: word problems no links pls ​

Answers

Answer:

  9 plates

Step-by-step explanation:

The number of plates Kyle can make is the GCF of 9 and 18. Since 9 is a factor of 18, that GCF is 9.

Kyle can make 9 plates, each containing 1 avocado roll and 2 cucumber rolls.

Solve the equation if 0°

Answers

The answer is x≈{-0.490883+2k(pi)
{3.63248 +2k(pi). K€Z
Hope it helps you
Good luck

Answer

(225-degree, 315 degree)

Step-by-step explanation:

PLEASE HELP QUESTION IN PICTURE.

Answers

Answer:

D

Step-by-step explanation:

Answer:

12 square units

Step-by-step explanation:

once you plot the triangle on a graph, you'll see that the height is 4 sq inches, while the base is 6. multiply those two and you get 24, and divide that by 2. thats 12

Which function has a greater rate of change?
A.
Y=X4
B.
X Y
-2-11
0-9
2 -7
-
3-6
6-3

Answers

Neither, they are equal.
Just look at how y varies with x. We can see that in the table as x increases by two y increase by 2 so the rate of change is just one. Slope is the term for rate of change. Y=x-4 has a slope of 1. 1=1. They have the same rate of change.

What is the product? (x 3)(2 x minus 1) 2 x squared minus 3 2 x squared 6 x 2 x squared 5 x minus 3 2 x squared 6 x minus 3.

Answers

The product of the function is 2x^2+ 5x - 3

We are to find the product of the functions x + 3 and 2x -1

let f(x) = x+ 3g(x) = 2x - 1

Taking the product:

f(x)g(x) = (x+3)(2x -1)

f(x)g(x) = x(2x) - x(1) + 3(2x) + 3(-1)

f(x)g(x) = 2x^2 - x + 6x - 3

f(x)g(x) = 2x^2+ 5x - 3

Hence the product of the function is 2x^2+ 5x - 3

Learn more on product of functions here: https://brainly.com/question/25638609

Answer:

c

Step-by-step explanation:

A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an equation that shows the relationship between the elevation of the feather, y, and the number of seconds it has been falling, x

Answers

The question is an illustration of a linear function, and the equation that represents the function is [tex]y =-2x +10[/tex]

A linear function is represents as: y = mx + c, where:

m represents the slope or rate c represents the y-intercept

In this case, we have:

[tex]m = -2[/tex][tex]c = 10[/tex]

So, the equation becomes

[tex]y =-2x +10[/tex]

Hence, the equation of the function is [tex]y =-2x +10[/tex]

Read more about linear functions at:

https://brainly.com/question/14323743

Solving Quadratic Equations by Factoring

Answers

Answer:

are those 4 all answers or are they separate?

Step-by-step explanation:

Discuss the advantages and disadvantages of displaying data in a table and in a graph

Answers

Answer:

Step-by-step explanation:

PLS HELP ME I WILL GIVE BRAINLESS] Solve the problems. AA + 5 JoJo Seaweed walks at a constant rate d. able shows the relationship of feet to seconds. What is the constant of proportioiyality for the relationship of feet to minutes? Record your answer on the grd. Then fill in the bubbles. Feet 8 80 160 Seconds 2. 20 40 |​

Answers

Answer:

I think that if u times it i will be 80 s and 320 f

Step-by-step explanation:

KEEP GETTING BOTTED! Work out. the area of a circle of radius 7cm. Give your answer in terms of pi
Step-By-Step would be appreciated!

Answers

Answer:

49π cm²

Step-by-step explanation:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (7)^2[/tex]

[tex]A=49\pi[/tex]

Therefore, the area of a circle of radius 7 is 49π cm²

Hello there! :-)

The formula for calculating the area of a circle is

A=πr²

A=π(7)²

Notice that only the radius is squared.

A=π(49)

A=154 cm

Hope this helps!

Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with joy and listens to her favourite music

#LetItSnow

Good luck with your studies. :-)

Walter can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 12 additional cards with each package of cardstock he buys. If Walter buys 6 packages of cardstock, how many cards can he make in all?

Answers

Answer:

dsde

Step-by-step explanation:

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