In Cincinnati, fireworks are launched from a large barge on the Ohio River for a Labor Day celebration.
Their flight can be modeled by the function h(t) = -4.9(t - 4)2 + 80, where h is the height in meters and t is the time in seconds.
Suppose that buildings obstruct the fireworks. So, the barge is relocated 30 meters to the east.
Write a function to model the path of the fireworks in the new location.

Answers

Answer 1

The function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50

Equations and expression

Given the height reached by the flight expressed as:

h(t) = -4.9(t - 4)^2 + 80

If the barge is relocated 30 meters to the east, the new function will be derived by subtracting 30 from the initial function

New function = -4.9(t - 4)^2 + 80 - 30

New function = -4.9(t - 4)^2 + 50

Hence the function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50

Learn more on function model here: https://brainly.com/question/25638609


Related Questions

6 inch popsicle sticks or 4.5 inch popsicle sticks which is better

Answers

Answer:

6

Step-by-step explanation:

help me. help me please

Answers

First Blank is to the 'left'

Second blank is to the 'right'

Hope that helps!

pls hewllllll[p ill give anytthing picture is down

Answers

Answer:

It would be A

Step-by-step explanation:

The other answers do not make sense.

First of all: Area= length x width.

Two of the options were larger than 49.7, so we could cross those out

Then, we look at A and B.  

46.2 x 3.5 = 161.7, which is WAY larger than 49.7.

Since we have no option left to test, we can test A:

14.2 x 3.5= 49.7

Now we cam be sure that the answer is 14.2, or, A.

HOPE THIS HELPED:)

numbers or variables that form a product are _____

Answers

Answer:

it is called a monomial

Step-by-step explanation:

kuz I said

Giana, Kemi, and Matava each have $1.65 in their pockets. They decide to combine the money. How much money do they have altogether?

Answers

Answer:

$4.95

Step-by-step explanation:

If three people have $1.65 each, to find out how much money they have all together, you just multiply $1.65 by 3 (or add $1.65 3 times)


1.65 x 3 = 4.95


So all together, they have $4.95.

I hope this helps!

Answer:

Altogether they have 4.95$

Step-by-step explanation:

Giana, Kemi, and Matava are three people who each have 1.65$. So if they all combine it they will have 3×1.65$ which is =4.95$.

scored 28 points in his basketball game by shooting only two point and three point shots. He scored a total of 13 baskets
te a system of equations to represent the number of each type of basket Jake scored. Explain your thinking:

Answers

Answer:

Let x represent the number of 2 pointers made.

Let y represent the number of 3 pointers made.

We have to create a system of equations to solve this problem:

Isolate for  in Equation #1:

Substitute the new Equation #1 into Equation #2:

Solve for  :

Distribute the Parenthesis:

Combine like terms:

Add -46 to both sides:

Substitute this value into Equation #1:

Add -7 to both sides:

The Solution Is:

Jake made 16 two-pointers and 7 three-pointers!

I hope this helped!

Step-by-step explanation:

Tri scored a total of 31 points in the basketball game, and he scored p points in the second half of the game. Write an expression to determine the number of points he scored in the first half of the game. Then, find the number of points he scored in the first half of the game if he scored 7 points in the second half of the game

Please No Fake Answers this QUESTION IS ALOT OF POINTS ON A TEST

Answers

Answer:

If he scored x points in the first half, then x + p = 31

Answer:

expression: y = 31 - pHe scored 24 points in the first half.

expression:

first half points + second half points = total points obtained

Let first half points be y

y + p = 31

y = 31 - p ......this is the expression.

solve:

y = 31 - p

y = 31 - 7

y = 24 points

help for 100 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

In the PDF. All the answers should be there. Let me know if I'm missing any.

Answer:

Answers are below

Step-by-step explanation:

how to know if an angle is congruent?

Answers

Answer:

Two angles are congruent if they have the same measure. If you didn't already know, when two lines intersect the vertical angles formed are congruent. For example, all the angles in a square are congruent. All the angles in a regular pentagon are 108°, therefore all the angles are congruent because they are the same.

Step-by-step explanation: Hope this helps:).........if not sorry:(

Answer:

Well, AN angle (as you've stated in your question) can't, by definition, be congruent; you need at least two angles. Once that condition is met, then we can say that two angles are congruent if they have the same measure.

Step-by-step explanation:

List all the factors of 16 ​

Answers

Answer:

1,2,4,8,16

Step-by-step explanation:

prime factorization: 2x2x2x2 =16

Rewrite each fraction with a denominator of 10.
a
7
- IN
2
3
IN
5

Answers

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

brainliest pls

18x + 27 divided by 9

Answers

18x + 27 ➗ 9

18x + 3

1. We are combining like terms / using PEMDAS order by dividing before adding

18x + 3 is the most simplified equation you could get as you can’t add 18x and 3 as they aren’t like terms and there’s no possible answer that it gives us to solve it as a two-step equation.

18x + 3

Answer:

that is the answer

Step-by-step explanation:

I hope it's help

50 POINTS!!!! PLEASE HELP WILL GIVE BRAINLIEST!!! :3

Answers

Answer:

The student solved it wrong, and the graph also shows it wrong (you can pick the answer yourself)

Step-by-step explanation:

6(x-0,5) > 3
6x - 3 > 3
6x > 6
x> 1

Ben had $40.00..he gave his brother 2/5 of the amount.how much money did Ben's brother receive?​

Answers

Answer:

16

Step-by-step explanation:

Girl Scouts are selling cookies for $5 a box. Mark buys four boxes and donated $10 extra. What equation represents this situation?


If anyone can help me with this problem that will be amazing, thank you!!!

Answers

Answer:

y= 4x + 10

Step-by-step explanation:

It would equal this because mark buys 4 boxes x and he donated 10 dollars. So it would be that. You could also plug in 5 for x so it could be

y= 4(5) +10

But, either one should work.

best answer gets brainliest

Answers

Answer:

It's option 'A'

f= 17

Please mark as brainliest

Answer:

A) f=17

Step-by-step explanation:

May I have some help please?

Answers

[tex]\\ \rm\Rrightarrow m\sqrt{p}+n\sqrt{p}-\sqrt{p}[/tex]

√p is commonTake it side

[tex]\\ \rm\Rrightarrow (m+n-1)\sqrt{p}[/tex]

Option A is correct

Activity 1. Evaluate the following limits.
5. lim
1. lim 13 (1 point)
x-1
2. lim 2x (1 point)
x +4
3. lim 2x2 + 3x + 5 (2 points)
x-1
x+1
4. lim (2 points)
x+3x-2
8x3-27
(4 points)
X
V 4x2-9
2
8x+1
6. lim (2 points)
2+1 V X+3
Vh+2-12
7. lim
(4 points)
れ→0
h
2x2-2-3
8. lim
(4 points)
3---1x3+2x2+6x+5
4x²_g
9. lim (3 points)
3 2x+3
x 2
x2-9
10. lim
(3 points)
X--3 V
2x2+7x+3

Answers

Can you give me an idea of what you want

The limits are important in calculus and mathematical analysis and can be used to define integrals, derivatives and continuity. The limit of the given function is 4.

What is limit of a function?

In mathematics, the limit is defined as the value that a function approaches the output for the given input values. It is used in the analysis process and it always concerns about the behaviour of the function at a particular point.

The upper and lower limits are used to define the definite integrals whereas the indefinite integrals are defined without using the limits and it have an arbitrary constant while integrating the function.

The limit of the given function is:

limₓ → -1  (2x² + 3x + 5)

(2 × (-1)² + 3 × (-1) + 5)

(2 × 1 + (-3) + 5) = ( 2 - 3 + 5)

= 4

So the limit of the given function is 4.

To know more about limit of the function, visit;

https://brainly.com/question/29795597

#SPJ7

Your question is incomplete most probably your full question was:

Evaluate the given limit lim ₓ → -1  (2x² + 3x + 5)

3.
The area of a circular region is increasing at a rate of 96pi square meters per second. When the area of
the region is 64pi square meters, how fast, in meters per second, is the radius of the region increasing?

Answers

Answer:

32pi

Step-by-step explanation:

A caterer needs to buy 22 pounds of pasta to cater a wedding. At a local store, 8 pounds of pasta cost $12. How much will the caterer pay for the pasta there? work shown please.

Answers

Answer:

1. 8/$12=21/$x then cross multiply.

2. 1/$1.5, we're looking for cost so $1 is more reasonable

3. $31.5

Step-by-step explanation:

12x 21/ 8 = 31.5

What type of transformation is the image portraying?

options:

Dilation


Reflection


Rotation


Translation

Answers

Answer:

Reflection

Step-by-step explanation: A reflection is a transformation that acts like a mirror.

Answer:

Reflection

Step-by-step explanation:

Translations are a horizontal and/or vertical movement of a shape. In this case, the points wouldn't match up. A dilation is either growth or reduction, which this pretty obviously is not. A rotation also wouldn't properly match the points up. If we reflect this shape across a line directly in between the two, all the points will match up.

2.4 as a mixed number

Answers

2.4 as a mixed number is: 2 4/10

Answer:

2 2/5

Step-by-step explanation:

In Frank's toy bin there are 17 red blocks. There are 2 more yellow blocks than red blocks. There are also 12 more blue blocks than red blocks. How many blocks are there in all?

Answers

Answer:

65

Step-by-step explanation:

17 red

19 yellow

29 blue

add them together, = 65

The steps below show the incomplete solution to find the value of x for the equation 7x 8 − 3x = −6 10: Step 1: 7x 8 − 3x = −6 10 Step 2: 7x 8 − 3x = 4 Step 3: 4x 8 = 4 Which of these is most likely the next step? 4x = 12 4x = 4 4x = −4 4x = −12.

Answers

Answer:

4x = −4

Step-by-step explanation:

Question 2

2(2x − 5 − 4) = 160 − 17

4x-10-8 = 160-17

4x-18=143

4x = 161

x=40.25

Question 3

4(2z + 3) = 12

8z +12 = 12

8z = 0

z = 0

Question 4

5(2x − 6) + 20 = 10

10x-30+20=10

10x-10=10

10x =20

x=2

Question 5

5x + 10 = 5x − 8

5x+18=5x

18=0

Zero solutions

What is the correct justification for the first step in solving this equation? 3(x - 4) + 1 = 12x

Answers

Answer:

x = -11/9

Step-by-step explanation:

3(x-4) + 1 = 12x

Step 1: Use distributive property

3*x - 3*4 + 1 = 12x

3x - 12 + 1 = 12x

Step 2: Combine like terms

3x - 11 = 12x

Step 3: Subtract '3x' from both sides

-11 = 12x - 3x

-11 = 9x

Step 4: Divide both sides by 9

-11/9 = x

Answer:

Solve the first part in Parenthese

Step-by-step explanation:

3(X-4)

3x-12+1=12x

         -1   -1

3x-11-12=12x

        -12 -12

3x-11=0x

    -11  -11

3x= -11x

/3      /3

x= -11/9

please i cannot slove it. can u​

Answers

Answer:

Step-by-step explanation:

[tex]a^{-1}=\dfrac{1}{a} \ ; \ b^{-1}=\dfrac{1}{b} \ ; \ c^{-1}=\dfrac{1}{c}[/tex]

[tex]\dfrac{1}{1+a+b^{-1}}+\dfrac{1}{1+b+c^{-1}}+\dfrac{1}{1+c+a^{-1}}=\dfrac{1}{1+a+ \dfrac{1}{b}}+\dfrac{1}{1+b+\dfrac{1}{c}}+\dfrac{1}{1+c+\dfrac{1}{a}}[/tex]

            [tex]= \dfrac{1}{\dfrac{1*b}{1*b}+\dfrac{a*b}{1*b}+\dfrac{1}{b}}+\dfrac{1}{\dfrac{1*c}{1*c}+\dfrac{b*c}{1*c}+\dfrac{1}{c}}+\dfrac{1}{\dfrac{1*a}{1*a}+\dfrac{c*a}{1*a}+\dfrac{1}{a}}\\\\\\=\dfrac{1}{\dfrac{b+ab+1}{b}}+\dfrac{1}{\dfrac{c+bc+1}{c}}+\dfrac{1}{\dfrac{a+ac+1}{a}}\\\\\\=\dfrac{b}{b+ab+1}+\dfrac{c}{c+bc+1}+\dfrac{a}{a+ac+1}[/tex]

abc = 1

c =  1/ab

[tex]=\dfrac{b}{b+ab+1}+\dfrac{\dfrac{1}{ab}}{\dfrac{1}{ab}+b*\dfrac{1}{ab}+1}+\dfrac{a}{a+a*\dfrac{1}{ab}+1}\\\\\\[/tex]

[tex]= \dfrac{b}{b+ab+1}+\dfrac{\dfrac{1}{ab}}{\dfrac{1+b+ab}{ab}}+\dfrac{a}{\dfrac{ab+1+b}{b}}\\\\\\=\dfrac{b}{b+ab+1}+\dfrac{\dfrac{1}{ab}*ab}{1+b+ab}+\dfrac{ab}{ab+1+b}[/tex]

[tex]=\dfrac{b}{b+ab+1}+\dfrac{1}{1+b+ab}+\dfrac{ab}{1+b+ab}\\\\\\=\dfrac{b+1+ab}{b+1+ab}\\\\\\=1[/tex]

Jake spends 30% of his monthly budget on food. He total monthly budget is $2500. How much does he spend on food? *

I really need the answer

Answers

Answer:

$450

Hope This Helps! :D

How is the surface area of an open cylinder calculated?.

Answers

Answer:

SA = [tex]2\pi rh[/tex]

Step-by-step explanation:

Surface area of an open cylinder = circumference x height

⇒ SA = [tex]2\pi rh[/tex]

(where r is the radius and h is the height)

Mrs. Wright spent $52 on new music books. For new piano students, she charges a $4 new-student fee plus $12 per 45-minute session. Drag the solution to the number line to show after how many sessions Mrs. Wright will earn a profit for giving piano lessons to one new student.

Answers

Answer:

it is the third one

Step-by-step explanation:

i just did it.

sry if im late

Answer:

its the 3 one.

Step-by-step explanation:  u can find it in times4learning in the math course.

u may give credit to the top one that answered first :)

whats 1/3 of 1/2? thanks!​

Answers

Answer:

It's 1/6, hope this helps!

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