Math

Mathematical InductionA ball is thrown upward with a velocity of 56 ft/sec, and its height (in feet) after 't' seconds is given by the function
h(t) = -16t² + 56t.
What is the maximum height attained by the ball and how long did it take to reach
that height?
1) The ball reached a maximum height of 40 feet after 1 second.
2) The ball reached a maximum height of 1.75 feet after 49 seconds.
3) The ball reached a maximum height of 48 feet after 1.5 seconds.
4) The ball reached a maximum height of 49 feet after 1.75 seconds.

Math

Mathematical InductionLet p represent the simple statement "It is time to sleep" and q represent "The job pays well."
Write the compound statement in symbolic form.
The job paying well is necessary for it to be time to sleep.

Math

Mathematical InductionStrontium 90 decays at a constant rate of 2.44% per year. Therefore, the equation for the amount P of strontium 90 after t years is P = Poe^-0.0244t. How long will it take for 15 grams of strontium to decay to 5 grams? Round answer to 2 decimal places. (Sec. 6.8/Textbook)
4.50 years
450.25 years
45.03 years.
40.50 years

Math

Mathematical InductionThe human population doubles approximately every 50 years. If there were 2,500,000 people in 1950, how many people are forecasted to populate the earth in 2050?
First, complete the equation:
Future Amount = 2,500,000 (1 + 1)²
Now solve.
Future Amount = [? ] people