A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is $s(t)=96 t-16 t^{2}.$ For what time t is the ball more than 128 feet above the ground?

If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is s = 80t - 16t^2. What is the velocity of the ball when it is 96 ft above the ground on its way up? On its way down?

A projectile is fired from a cliff 200 feet above the water at an inclination of $45^{\circ}$ to the horizontal, with a muzzle velocity of 50 feet per second. The height h of the projectile above the water is modeled by $h(x)=\frac{-32 x^{2}}{(50)^{2}}+x+200$ where x is the horizontal distance of the projectile from the face of the cliff. Find the maximum height of the projectile.

What are some obstacles to sympatric speciation?

Solve equation $\dfrac{m}{6}=1$ and check your answer.

In how many ways can a president, a vice-president, and a secretary be selected from an organization of 32 members?

Tuan is an artist. He is painting on a large canvas that is 45 inches wide. The height of the canvas is 9 inches less than the width. What is the area of Tuan's canvas?

A 15-m-long garden hose has an inner diameter of 2.5 cm. One end is connected to a spigot; $20 ^ { \circ } \mathrm { C }$ water flows from the other end at a rate of 1.2 L/s. What is the gauge pressure at the spigot end of the hose? A. 1900 Pa B. 2700 Pa C. 4200 Pa D. 5800 Pa E. 7300 Pa

(a) Determine the radius of the smallest cation that can have (i) sixfold and (ii) eightfold coordination with the $\mathrm{Cl}^{-}$ ion (radius 181 pm). (b) Determine the radius of the smallest anion that can have (i) sixfold and (ii) eightfold coordination with the $\mathrm{Rb}^{+}$ ion (radius 149 pm).

Consider this geometric sequence: $3,6,12,24,48, \ldots$ a. What is the common ratio r? b. Call the general term of this sequence $A_{n}$. Suppose that the starting subscript for the sequence is 0. Thus, the initial term is $A_{0}=3$. What is a recursive formula for this sequence? What is a function formula for this sequence? Write both formulas in the form $"A_{n}=\ldots,$") c. Suppose the starting subscript is 1. Thus, $A_{1}=3$. What is a recursive formula for the sequence in this case? What is a function formula? (Write both formulas in the form $"A_{n}=\ldots$." d. Compare the formulas in Parts b and c. Explain similarities and differences.

Find each root that is a real number. $-\sqrt[4]{256}$

Find the mean and standard deviation of a normally distributed random variable X, given that P(X $\geqslant$ 80) = 0.1 and $\mathrm{P}(X \leqslant 30)=0.15$.

The outer layer of the blastocyst, which attaches to the uterine wall, is the a. yolk sac. b. inner cell mass. c. amnion. d. trophoblast.

To earn money for gifts, Debbie sold decorated pinecones. If she sold 100 pinecones at $0.25 each, how much money did she earn?