Answer:
37.04 m/s
Step-by-step explanation:
we can use the equation x = x0 + v0t + 1/2at^2
a = -9.8 m/s^2, the acceleration due to gravity
x0 = 70 m, the starting point of x
v0 = 0 m/s
x = 0
this will allow us to solve for time
0 = 70 + 0 +-4.9t^2
t = 3.779
now we can use the equation v = v0 + at
v = 0 + 9.8(3.77)
v = 37.04 m/s
Answer:
Step-by-step explanation:
Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:






Thus, 750 lollipops must be sold.
Answer:
Piece one would equal to 14" and piece two would be 42" because 42 is three times the length of 14