A soccer ball is kicked at a velocity of 25 meters per second. The following table shows the horizontal distance (in meters) at different angles of elevation (in degrees), ignoring wind resistance.

Angle of Elevation Distance Traveled
15 31.9
25 48.8
30 55.5
45 63.8
50 62.8
55 59.9
60 55.5
70 41.0
Using a graphing or online calculator, graph this set of data on a scatter plot for reference. Then, in two or more complete sentences, explain why a quadratic function should be used to model this set of data.

Answers

Answer 1

Answer:

13.2m

Step-by-step explanation:

the initial vertical velocity of the ball is 25 sin 40 = 16.1m/s

since gravity reduces the vertical velocity of objects by 9.8m/s/s, this ball will reach max altitude in a time of

time = 16.1m/s / 9.8m/s/s = 1.6s

the max height is equivalent to the height an object will fall in 1.6s, so we have

height =1/2 g t^2 = 1/2 x 9.8m/s/s x (1.6s)^2 = 13.2m


Related Questions

Solve 4(2x - 9) = 3x + 4

Answers

8x - 36 = 3x + 4
5x = 40
x = 8

Answer:

x = 8

Step-by-step explanation:

First, you distribute

4(2x)+4(-9)=3x+4

8x - 36 = 3x + 4

Subtract 3x from both sides

(8x - 3x) - 36 = (3x - 3x) + 4

5x - 36 = 4

Then add 36 to both sides

5x (-36 + 36) = (4 + 36)

5x = 40

Then divide 5 from both sides

x = 8

------------------------

Hopefully this is correct, sorry if it isn't

Two number cubes are tossed.
What is P(4, 6)?

Answers

The answer is (12.56, 18.84) because 3.14*4 and 3.14*6

Paulo has 39 patches from states he and his relatives have visited he wants to pin the onto a board and arrange them equally in 3 rows how many patches will be in each row

Answers

Given:

Total number of patches = 39

Total number of rows = 3

To find:

The number of patches in each row.

Solution:

We have,

Total number of patches = 39

Total number of rows = 3

We need to divide the total number of patches by total number of rows to find the number of patches in each row.

[tex]\text{Number of patches in each row}=\dfrac{39}{3}[/tex]

[tex]\text{Number of patches in each row}=13[/tex]

Therefore, the number of patches in each row is 13.

What is the slope of this graph?
A. 4

B. −14

C. −4

D. 14

Answers

Answer:

14  is the correct answer

Step-by-step explanation:

Answer:

A.4

Step-by-step explanation:

start at the y-intercept and work down

Find the equation of the line.
Use exact numbers.
Y= X+
HELP ASAP

Answers

Step-by-step explanation:

using the graph, we can see that the line goes through points

(0, 5) and (3, -1)

this is all we need

[tex]y = mx + b\\ m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-(-1)}{0-3} = -2[/tex]

[tex]y = mx + b\\5 = -2(0) + b\\b = 5\\y = -2x + 5[/tex]

Its just the the page thats fully shown.

Note: Thank you so much for helping me out! xoxo

Answers

1) 5x-4= 11
2) 15+ 1/2x= 9
3) 7x-6= -20
4) 8+ 4x = -12
5) You have downloaded 415 songs. Your equation would be 9.99+ .25x = 113.74, and then you’d subtract 9.99 from both sides, getting you .25x = 103.75. Then you’d divide both sides by .25 to get your answer
6) She can afford 10 hours of lessons. 725= 475+ 25x, subtract 475 from both sides, leaving you with 250=25x. Then divide both sides by 25 to get your answer



I can’t read 7 and 8 very well, could you possibly get a better picture of those two?

A bicyclist ride 1/6 miles in 1/84 hours. Write this into a unit rate.

Answers

answer:

15

Step-by-step explanation:

1/6 ÷ 1/90

(1/6)(90/1)

so in conculsion it's gonna be 15!

please tell me if im right or not.

Given f(x)=3x+9, find x when f(x)=21

Answers

Answer:

x=4

Step-by-step explanation:

First do(just do the opposite. It is +9 you do -9) 21-9=12

Second do 12÷3=4 (opposite of multiple is divided)

x=4

An arts academy requires there to be 3 teachers for every 63 students and 4 tutors for every 36 students.How many students does the academy have per teacher ? per tutor ? how many tutors does the academy need if it has 63 students ?

Answers

Can you take the picture of the actual question?
Do the answer would be 15

It’s cost Zachary$7.00 to send 140 text messages.how many text messages did he send if he spent $0.85?

Answers

So first you have to find the cost for each text message. To do that you divide the total number of texts by the total amount of money spent. So: 140/700 cents(7 dollars). The answer would be .20 per text. So .85 could buy him 4.25 texts

Select the correct answer.
Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers.
Which equation represents this direct variation?

Answers

The answer is B) y= 7/4x

This is because when you graph it you would go up 7 and over 4- you just had to find the rise over run. I also just made sure it was correct on edmentum!

Caroline is planting her first 7 flowers in 4 minutes and then past 12 minutes, she plants 21 different flowers. That suggests that she is planting the flowers following the given equation  y=(7/4)x.

What is dependant variable?

The dependent variable is defined as the variable whose evaluation of the independent variable determines the quality of the dependent variable. That is, it is consistently claimed that the word variable's estimate depends on the mathematical condition's free variable.

How to solve it?

Let Caroline plant y flowers in x minutes.

By using the unitary method we can observe that

4 minutes  → 7 flowers

⇒ 1 minute → 7/4 flowers

⇒ x minutes → (7/4)x flowers

Hence, Caroline is planting y=(7/4)x flowers in x minutes. And y=(7/4)x this equation represents the variation perfectly.

NOTE: We took the number of flowers planted as y because it is a dependent variable. The number of flowers depends on the time elapsed.

Learn more about the unitary method here-

brainly.com/question/23423168

#SPJ2

In what quadrant is the point (3, -4) located?

Answers

Answer:

quadrant IV

Step-by-step explanation:

In the image, these are where each quadrant is and labelled. If you plot ( 3,-4) on the grid, it will end up in quadrant IV.

math isnt my best subject-​

Answers

1.5

Y is always 1.5 times the value of x

A bag contains:

4 blue marbles

2 green marbles

1 red marble

A marble is chosen at random from the bag and not replaced. Then, a second marble is chosen from the bag. What is the probability that the first marble was red and the second marble was green?

A) 1/7

B) 1/21

C) 2/49

D) 2/6

Answers

Answer:

it is ether B or D cuz

Step-by-step explanation:

4+2+1=7  marbles

(4/1)+(2/1)+(1/1)=7/21

divide 21 by 7 that would = 3

5+ (-8)n = 29.

What are the steps ? What does n equal ?

ASAP please and thank you (10 points)

Answers

Answer

n = -3

Step-by-step explanation:

5 + (-8)n = 29

Subtract 5 from both sides

-8n = 24

Divide -8 from both sides

n = -3

Hope this helps and let me know if you need me to go into further detail :)

Answer:

n = -3  :)

Step-by-step explanation:

5 + (-8)n = 29

-5              -5

-------------------

      -8n=24

      ----   ----

      -8    -8

 n = -3

x^2 - x + 6 = 0

how do I solve that?​

Answers

-23

Step-by-step explanation:

x2−x+6=0

Step 1: Find discriminant with a=1, b=-1, c=6.

b2−4ac

=(−1)2−4(1)(6)

=−23

Answer:

−23

Answer:

no solution

Step-by-step explanation

[tex]x^{2}-x+6=(x^{2}-2.\frac{1}{2}x+\frac{1}{4})+6-\frac{1}{4}=(x-\frac{1}{2})^{2}+\frac{23}{4}[/tex]

see : [tex](x-\frac{1}{2})^{2}\geq 0 => (x-\frac{1}{2})^{2}+\frac{23}{4}\geq 0+\frac{23}{4}>0[/tex]

but x² - x + 6 =0

=> it is unreasonable

the telephone company offers two billing plans for local calls. plan 1 charges 37$ per month for unlimited calls. plan 2 charges 17$ per month for plus 0.05$ per call. Use an inequality to find the number of monthly calls for which plan 1 is more economical than number 2

Answers

Answer:72

Step-by-step explanation:

You rent bowling shoes for $4, and it costs $2.50 to bowl
each game. Write a linear equation to model this situation.

Answers

y=2.5x+4

You can pay for multiple games but you only pay for shoes once, meaning shoes are b in this equation and each game is m

Answer:

y=2.5x+4

Step-by-step explanation:

that your answer

rate and hit that thank button

nwjskjnsfnwkfdnmfdn gsdkjmcfnm vnndfjsngdrmdtnrnmdcvkjdfnvf

Answers

Answer:

nwjskjnsfnwkfdnmfdn gsdkjmcfnm vnndfjsngdrmdtnrnmdcvkjdfnvf

Step-by-step explanation:

Have a great day

Answer:

gshspisgsgushd surrfvereeers

Step-by-step explanation:

4)
The temperature dropped 3 degrees every hour for 3 hours. Write an expression and write an
integer to represent the total temperature change.

Answers

Answer:

I think the integer that represents the change in temperature is -15.

What is the zero of g?

Answers

is the answer negative 6???

The function g in the graph is a linear function, and the zero of the function g is -6

How to determine the zero of g?

The zero of the function g is the point where the graph of function g crosses the x-axis

From the graph, we have the following point

(x,y) = (-6,0)

Hence, the zero of the function g is -6

Read more about linear functions at:

https://brainly.com/question/14323743

#SPJ2

Un bloque de 2kg es trasladado a lo largo de la superficie lisa por accion de una fuerza f=40N ¿cual es el trabajo realisado por la fuerza "f"y por la fuersa de gravedad para un recorrido de 6m?

Answers

Explicación paso a paso:

Workdone = Fuerza * distancia movida en la dirección de la fuerza

Dado

Fuerza f = 40N

Distancia = 6 m

El trabajo realizado por la fuerza F es:

Trabajo hecho = 40 * 6

Trabajo terminado = 240 Nm

El trabajo realizado por la fuerza de la gravedad es el trabajo realizado por el cuerpo de 2 kg:

W = mg

W = 2 * 10

W = 20N

Trabajo realizado = 20 * 6

Trabajo terminado = 120 Nm

I need help w/ math Fractions

Answers

Answer:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

−3/8÷−11/4

Applying the fractions formula for division,

=−3×4 / 8×−11

=−12/88

Simplifying -12/-88, the answer is

=3/22

A bike rental company charges a $5 service fee and $1 per hour. If this situation is represented as a function, what would be the slope?
Select one:

6

0

1

5

Answers

Answer:

The slope would be 1.

Step-by-step explanation:

The slope would be one becuase the equation would be y=1x+5.

Answer:

the equation would be y=x+5

so the slope is 1

Step-by-step explanation:

Guys please hurry up I need this answer

Answers

Bro I need the answer too we’re the same

( Will give Brainliest Please Helpp)

Answers

Answer:

4/9 sq yard

Step-by-step explanation:

Answer:

the answer is 6/7

Step-by-step explanation:

Point E(-5.3) and point D(-4,-3) are located on the grid. Which measurement is closest to the distance between point E and point D
in units?

Answers

Answer:

10.8 units

Step-by-step explanation:

Step-by-step explanation:

To find the distance between two points, use the distance formula.

Choose all sets that contain the number 5.
Natural numbers
Whole numbers
Integers
Rational numbers
Irrational numbers
Real numbers
DONE

Answers

Answer:

NaturalWholeIntegersRationalReal

I'm pretty sure all of these have 5, so only one doesn't fit in that category...

Answer:

Choose all sets that contain the number 5.

✅ Natural numbers

✅ Whole numbers

✅ Integers

✅ Rational numbers

❌ Irrational numbers

✅ Real numbers

Step-by-step explanation:

Judt did it on edg

14 minus the product of a number and 15

Answers

Answer:

14 - (y x 15)

Step-by-step explanation:

This is the number because:

1) 14 minus means 14 subtracted from the product of a number and 15

2) The product of a number and 15 is a variable multiplied with 15

3) Finally, if we put these together, we get 14 - (y x 15)

Hope this helps!

brynne simplifies an equation and gets 2=3. what does this tell you about the equation

Answers

Answer:

That it has no solution. If you could have gotten 2=2 or 3=3 it would have a solution

Step-by-step explanation:

Answer:

The equation is not equal. Therefore, it is not an equation. However, things will be different if the equation was based on a coordinate plane. If it was based on a coordinate, the equation could have been: y=x-1

Step-by-step explanation:

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