Solve each inequality algebraically. $x^{3}-4 x^{2}>0$

A loop pattern that asks the user whether to continue on each iteration is called a(n) a) interactive loop b) end-of-file loop c) sentinel loop d) infinite loop

Sketch the graph of each function by transforming the graph of an appropriate function of the form

(a) Explain what is meant by $\lim _{x \rightarrow a} f(x)=L.$ (b) If $\lim _{x \rightarrow 2} f(x)=5,$ is it possible that f(2) = 3? (c) Find $\lim _{x \rightarrow 2} x^{2}.$

Find the probabilities. The die is a typical die with six sides. What is the probability of rolling a die and getting the number 2 four times in a row?

A half-dollar has a diameter of about 31 millimeters. About how many millimeters long would a row of 56 half-dollars be?

Use the Factor Theorem to show that the statement in the exercise is true. Show that x + 4 is a factor of the polynomial $P(x)=x^{5}+4 x^{4}-7 x^{3}-23 x^{2}+23 x+12$

True/False: a and (b or c) == (a and b) or (a and c)

Iodine 131 is a radioactive material that decays according to the function $A(t)=A_{0} e^{-0.087 t}$, where $A_0$ is the initial amount present and A is the amount present at time t (in days). Assume that a scientist has a sample of 100 grams of iodine 131. What is the half-life of iodine 131?

Find the exact value. $\csc \frac{9 \pi}{4}$

For each parabola, identify the coordinates of the vertex. $y=\frac{1}{2}(x-3)^{2}-2$

True/False: The statement myShape.move (10,20) moves myShape to the point (10,20).

On the average, each human has about six recessive alleles that would be lethal if expressed. Why do you think that human cultures have laws against marriage between close relatives?

Explain why a mutation in a sperm or egg cell has different consequences than one in a heart cell.