When \(x^{-1}-1\) is divided by x − 1, the quotient is

A meteorologist estimates how long a passing storm will last by using
the function\(t(d)=0.08d^{\frac{3}{2}}\) where d is the diameter of the storm, in miles, and t is the time, in hours. If the storm lasts 16.2 minutes, find its diameter, in miles

Which of the following complex numbers is equivalent to \(\frac{3+i}{4-7i}\)?

If \(64^{2n+1}=16^{4n-1}\), what is the value of n?

$$\frac{t}{t-3}-\frac{t-2}{2}=\frac{5t-3}{4t-12}$$
If x and y are solutions of the equation above and y > x, what is the
value of y − x?

The expression below is equivalent to
$$\frac{x^{2}+9x-22}{x^{2}-121} \div (2-x)$$

(y²+ ky − 3)(y − 4) = y³ + by²+ 5y + 12
In the equation above, k is a nonzero constant. If the equation is true
for all values of y, what is the value of k?

If the zeros of function f defined above are represented by r, s, and t,
what is the value of the sum r + s + t?

If a, b, and c are positive numbers such that \(\sqrt{\frac{a}{b}}=8c\) and ac = b, what is the value of c?

\(\frac{\sqrt[3]{a^{8}}}{(\sqrt{a})^{3}}=a^{x}\), where a>1
In the equation above, what is the value of x?

What is the value of \(\left ( \frac{1}{2}+i\sqrt{5} \right )\left ( \frac{1}{2}-i\sqrt{5} \right )\)

The expression below is equivalent to
$$\frac{\frac{x-y}{y}}{y^{-1}-x^{-1}}$$

If m and p are positive integers and
\((2\sqrt{2})^{m}=32^{p},\, what \, is\, the \, value \, of\, \frac{p}{m}\)

If k = 3, what is the solution of the equation below?
$$2\sqrt{x-k}=x-6$$

If n is a negative integer, which statement is always true?

In an electrical circuit, the voltage, E, in volts, the current, I, in amps,
and the opposition to the flow of current, called impedance, Z, in ohms,
are related by the equation E = IZ. What is the impedance, in ohms, of
an electrical circuit that has a current of (3 + i) amps and a voltage of
(−7 + i) volts?

Which expression is equivalent to \((9x^{2}y^{6})^{-\frac{1}{2}}\)

If \(\sqrt{m} = 2p\; then\: m^{\frac{3}{2}}=\)

In how many different points does the graph of the function f(x) = x³−2x²+ x − 2 intersect the x-axis?

If x is a positive integer greater than 1, how much greater than
\(x^{2}\, is\, x^{\frac{5}{2}}\)

Which of the following is equal to (13 + 17i)(4 − 9i)?

If \(\frac{6+4i}{1-3i}\), what is the value of a + b?

$$g(x)=a\sqrt{41-x^{2}}$$
Function g is defined by the equation above where a is a nonzero real
constant. If g(2t)=√5, where i =√-1 , what is the value of a?

Which of the following is equivalent to 2i²+ 3i³?

Which of the following functions have zeros −1, 1, and 4?

If \(g(x)=(x\sqrt{1-x})^{2}\), what is g(10)?

$$i^{13}+i^{18}+i^{31}+n=0$$
In the equation above, what is the value of n in simplest form?

Which of the following is equal to \(y^{\frac{3}{2}}\) for all values of y for which the
expression is defined?

If (x − yi) + (a + bi) = 2x and i = √-1, then (x + yi)(a + bi) = 

The expression \(\frac{x^{2}}{\sqrt{x^{3}}}\)is equivalent to

Which of the following is equal to (x + i)²− (x − i)²?

$$\frac{3}{2}=\frac{-(5m-3)}{3m}+\frac{7}{12m}$$
What is the solution for m in the equation above?

The polynomial \(x^{3}-2x^{2}-9x+18\) is equivalent to

If \(3^{x}=81 \, and\, 2^{x+y}=64,\, then\, \frac{x}{y}=\)

if\((2rs)^{-1}=3s^{-2}\), what is the value of \(\frac{r}{s}\)?

If n and p are positive integers such that
\(8(2^{p})=4^{n}\), what is n in terms of p?