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.

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

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

the answer is 489

step-by-step explanation: