Here the time function is h(t) = [6 + 96t - 16t^2] feet.
The initial height of the ball is 6 feet. That's when t=0. h(0)=[6+0-0] ft = 6 ft.
At t=7 sec, h(t) = [6 + 96t - 16t^2] feet becomes
h(7 sec) = h(t) = [6 + 96(7) - 16(7)^2] feet This produces a large negative number (-106 ft), which in theory indicates that the ball has fallen to earth and burrowed 106 feet into the soil. Doesn't make sense.
Instead, let t=1 sec. Then h(1 sec) = h(t) = [6 + 96(1) - 16(1)^2] feet
=[6 + 96 -16] ft, or 86 ft.
One sec after the ball is thrown upward, it reaches a height of 86 feet. It continues to rise, slowing down, until it finally stops for an instant and then begins to fall towards earth.
Let x = the cost of the student discount card.
x + the cost of the passes = 29.50
x + 15(1.50) = 29.50
x + 22.50 = 29.50
Subtract 22.50 on both sides to isolate the variable x.
x = 29.50 - 22.50
x = 7
The student discount card is $7.
Answer:
1.15 miles per minute was the balls average speed
Step-by-step explanation:
4 x 60 = 240 minutes
276 miles ÷ 240 minutes = 1.15 miles per minute
The most important thing here is converting the length into the same units. So:
3 feet 9 inches = 45 inches
now, we know that compound 'growth' can be worked out by multiplying the initial value by the decimal to the power of the years. So, relating to this question, the equation would be:
5 x α⁴ = 45
Now, we have to solve for α!
α⁴ = 45/5
α⁴ = 9
α = ⁴√9
α = 1.732050808
This is the increase every year written as a decimal so, if we want to work out the pure percentage, we have to subtract 1 and then multiply by 100:
1.732050808 - 1 = 0.732050808
0.732050808 x 100 = 73.20508076
Rounded to 2 decimal places the answer would be 73.21% !
The Greatest Would Be 89.100
