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

How many real solutions are there for the quadratic equation below?

0=2x^2-3x+7

A) 0

B) 1

C) 2

D) infinite

Answers

Answer:

2 solutions

Step-by-step explanation:

2 solutions

3/4 - i[tex]\sqrt{47}[/tex]/4

3/4 + i[tex]\sqrt{47}[/tex]/4

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

Answer:

option 4

Step-by-step explanation:

(y intercept and negative slope)

Solve for x:
7 |x - 2| + 7 = -2 |x - 2| + 2

Answers

Answer:

It is a fraction -5/9

Step-by-step explanation:

Please help!!

I have to find the slope of the blue line on the graph

Answers

Answer:

2

Step-by-step explanation:

Using points (0,0) and (2,4)

slope= (y2 - y1)/(x2 - x1)

= (4-0)/(2-0)

= 4/2

= 2

PLEASE HELP SOON!!!!!!!!!!!!!!!

Answers

Answer:

35

Step-by-step explanation:

10 - (-20) turns into 10+20 and 8+(-3) is just 8-3

Answer:

Step-by-step explanation:

remove brackets

8-3+10+20=35

Given the function f(x)=|x|, if the function is shifted 0.5 units down, then shifted 3 units left, and reflected over the y-axis, what is the equation of the new function

Answers

Answer:

f(x) = |x - 3| - 0.5.

Step-by-step explanation:

).5 units down gives |x| - 0.5

3 units to the left gives |x + 3| - 0.5

Reflection over the y-axis gives |x - 3| - 0.5.

Need help ppl keep givin me links

Answers

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

H.E.L.P 100 POINTS!!! Match the addition and subtraction problems to their solutions: (See the picture)

Answers

Here you go,Please give Points.

PLZZZ HELP

Order these numbers from least to greatest. ​

Answers

Answer:

51/10, 4 and 1/9, 5.116, and 5.98

Step-by-step explanation:

least to greatest

Answer:

4 1/9, 51/10, 5.116, 5.98

Step-by-step explanation:

4 1/9

= 37/9

= 4.111...

51/10

= 5.1

-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?

Answers

The answer for this is negative 4

Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.

The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.

a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.

b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.

Answers

Answer:

Step-by-step explanation:

a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit

b. 50n > 135 + 4.50n

evaluate f*ds where f = <3xy^2,3x^2y,z^3> and m is the surface of the sphere of radius 5 centered at the origin

Answers

The value of f.ds = 20π.

What is Flux?

The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.

Given:

f = <3xy²,3x²y,z³>

Using Divergence Theorem

P= 3xy²

Q= 3x²y

R = z³

So, dP/ dx= 3y²

dQ/ dy = 3x²

dQ/ dz = 3z²

So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]

= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)

= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)

Since the radius is 5.

= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)

= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV

= 15 (4/3)π

= 20π

Learn more about flux here:

https://brainly.com/question/14527109

#SPJ5

SOLVE

x + 3y = -1

y = x - 7





Write the solution below.

Answers

Answer:

x= 5 ........................ .......

C= 5 by 9 (F − 32)where F is the temperature in °F and C is the temperature in °C. Convert the temperature −10℉ into ℃ .Give your answer to 2 d.p.​

Answers

Answer:

-23.33 °C

Step-by-step explanation:

C = 5/9 (-10 - 32)

C = 5/9 (-42)

C = -23.3333 ≈ -23.33 °C

hope it helps :)

mark brainliest!

Which theorem would be used to prove the triangles below as congruent?
A: HL
B: SSS
C: ASA
D: AAA

Answers

Answer:

  A:  HL

Step-by-step explanation:

The hypotenuses of these right triangles are marked congruent.

One leg of these right triangles is marked congruent.

The HL theorem applies.

Answer:

A

Step-by-step explanation:

The hypotenuses of these right triangles are marked congruent.

One leg of these right triangles is marked congruent.

The HL theorem applies.

PT. 5 OF MY HW!!! ITS UNIT RATE!!!​

Answers

Answer: The second pool is filled at a faster rate (3,600 gal/h) than the first pool (1,300 gal/h)

Step-by-step explanation:

HELP ASAP NO LINKS PLS (OR THEY WILL BE REPORTED) SIMPLE ANSWER PLS


Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.

Answers

Answer:

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

Step-by-step explanation:

Just to add a bit more information, "Elimination" Can have a variety of other interpretations.  Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.'  Do not worry if you have not heard of these terms.  They are used in Linear Algebra when referring to "Elimination techniques"

 

Gaussian Elimination

Gauss-Jordan Elimination

LU-Decomposition

QR-Decomposition

 

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

 

Substitution is the preferred method for 2 equations in 2 unknowns.  The constants are unimportant other than having a non-zero determinant.  It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:

 

Example:

 

4X + 5Y = 9

5X -  4Y = 1

 

Notice that 20 is a LCM of either the X or Y variable.  So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)

 

4(4X + 5Y = 9)

5(5X -  4Y = 1)  

 

Multiplying to produce the LCM factors:

 

16X + 20Y = 36

25X -  20Y = 5

 

Adding the equations

 

41X = 41

X = 1

 

Substitution into either equation yields

Y = 1

 

Elimination techniques are preferred for Rank-n>3

Answer:

I like the view

What’s the slope of a line that goes through (0,2)(7,5)

Answers

Answer:

slope = 3/7 or 0.43

Step-by-step explanation:

use the slope(gradient) formula

Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c

Answers

Y=2x+9 it’s hard to explain but I’m pretty sure this is the answer

What is the answer to | 6-4|-|3-8|

Answers

Answer:

-3

Step-by-step explanation:

Let's do the sums, and let's remember that the absolute value of a number is the number itself if positive, or it's opposite if negative [tex]|6-4|-|3-8|= |2| -|-5|=2-5=-3[/tex]

STUDY TIP 1

Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.

FOLLOW FOR MORE TIPS !!!

Answers

Answer:

THANK U!

FOR THE TIP.

HAVE A GREAT DAY!

2y=8x-6 Find the Slope

Answers

Answer:

Slope is 4

Step-by-step explanation:

2y=8x-6

divide by 2

y=4x-3

y=mx+b

m is slope

m=4

The slope is the number 4

Two systems of equations are shown: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.

Answers

Answer:

well i dont know this sorry

Step-by-step explanation:

Here you go. 29-28+28+11-11=?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

29-28=1

1+28=29

29+11=40

40-11=29

Thank you for this challenge that was half the challenge of a challenge........

Better hope you stay up long enough to see the animatronics. :)

please help me asappp :D



ty :)

Answers

Answer:

5x + 8y = 24

Step-by-step explanation:

Multiply the equation 8

8 ( y = -5x/8 + 3 )

8y = -5x + 24

5x + 8y = 24

Write the following expression as a sum and/or difference of logarithms. Express powers as factors.
log_b (u^9v^4) u>0, v> 0

Answers

Answer:

9log_b(u)+4log_b(v)

should be like that. let me know if iam wrong

what is 7.5% as a fraction

Answers

Answer:

15/2

Step-by-step explanation:

hope it helps (•‿•)

Please help on both. I’m not sure of my answrs before I submit. Thank u :)

Answers

Answer:

ok so first you got to wait All the faith he had had had had no effect on the outcome of his life. ...

2 One morning I shot an elephant in my pajamas. ...

3 The complex houses married and single soldiers and their families. ...

4 The man the professor the student has studies Rome.

Step-by-step explanation:

Which table correctly lists the reasons to prove angle 1 approximately equal to angle 3 comma given that stack A B with left right arrow on top intersects stack C D with left right arrow on top ?

Answers

Based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).

The reflexive property of equality states that:

a + b = a + b.

Since m∠1 + m∠2 = 180°, and m∠2 + m∠3 = 180°, therefore, based on the reflexive property, we would have:

m∠1 + m∠2 = m∠2 + m∠3.

Thus, subtracting m∠2 from both sides of the equation will leave us with: m∠1 = m∠3 (subtraction property of equality).

Therefore, based on the right application of the reflexive property and subtraction property of equality, the table that correctly lists the reasons to prove that m∠1 ≅ m∠3 is: the table in option B (See attachment below).

Learn more about the reflexive property on:

https://brainly.com/question/1601404

Find the value of x. Please help me. I can’t find the answer.

Answers

Answer:

Step-by-step explanation:

The two sides opposite the angles marked as equal are themselves equal

4x + 8 = 48 - x                 Add x to both sides

4x + x + 8 = 48                Combine

5x + 8 = 48                      Subtract 8 from both sides.

5x + 8 - 8 = 48 - 8           Combine

5x = 40                            Divide by 5

5x/5 = 40/5

x = 8

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