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A right circular cylinder has a volume of $45\,\pi$. If the height of the cylinder is 5, what is the radius of the cylinder?

MathGeometry and Trigonometry

A quadratic function models a projectile's height, in meters, above the ground in terms of the time, in seconds, after it was launched. The model estimates that the projectile was launched from an initial height of 7 meters above the ground and reached a maximum height of 5

MathAdvanced Math

$4a+20ab+25b^{2}$ Which of the following is a factor of the polynomial above?

MathAdvanced Math

$y=x+1$ $y=x^{2}+x$ If (**x,y**) is a solution to the system of equations above, which of the following could be the value of $x$ ?

MathAdvanced Math

$\delta x-y>12$ Which of the following inequalities is equivalent to the inequality above?

MathAdvanced Math

Which expression is equivalent to $\left(m^{4}q^{4}z^{-1}\right)\left(mq^{5}z^{3}\right)$, where $m$, $q$, and $z$ are positive?

MathAdvanced Math

A rectangle has a length that is 15 times its width. The function $y=(15w)(w)$ represents this situation, where $y$ is the area, in square feet, of the rectangle and $y>0$. Which of the following is the best interpretation of 15$w$ in this context?

MathAdvanced Math

Which expression is equivalent to 12$a$ + 277

MathAdvanced Math

Which of the following expressions is equivalent to the sum of $(r^{3}+5r^{2}+7)$ and $(r^{2}+8r+12)$ ?

MathAdvanced Math

There were no jackrabbits in Australia before 1788 when 24 jackrabbits were introduced. By 1920 the population of jackrabbits had reached 10 billion. If the population had grown exponentially, this would correspond to a 16.2% increase, on average, in the population each year. Which of the following functions best models the population $p(t)$ of jackrabbits $t$ years after 1788?

MathAdvanced Math

Which expression is equivalent to ${\it x}^{2}+3{\it x}-40$?

MathAdvanced Math

$f(x)=(x+0.25x)(50-x)$ The function $f$ is defined above. What is the value of $f(20)$?

MathAdvanced Math

Let the function $p$ be defined as $p(x)=\frac{(x-c)^{2}+160}{2c}$ , where $c$ is a constant. If $p(c)=10$ , what is the value of $p(12)$ ?

MathAdvanced Math

$y=ax^{2}-c$ In the equation above, $a$ and $c$ are positive constants. How many times does the graph of the equation above intersect the graph of the equation $y=a+c$ in the $xy$-plane?

MathAdvanced Math

What is the minimum value of the function $f$ defined by $f(x)=(x-2)^{2}-4$\$? **

MathAdvanced Math

$\mbox{\rm if}\;(\mbox{\boldmath$x+5$})^{2}=\mbox{\boldmath$A$}$, which of the following is a possible value of $x$ ?

MathAdvanced Math

$$f(x)=\frac{a-19}{x}+5$$ In the given function $f$, $a$ is a constant. The graph of function $f$ in the xy-plane, where $y=f(x)$, is translated 3 units, down and 4 units to the right to produce the graph of $y=g(x)$. Which equation defines function $g$? $$

MathAdvanced Math

Which expression is equivalent to $12x^{3}-5x^{3}$?

MathAdvanced Math

Two variables, $\bm{x}$ and $\bm{y}$, are related such that for each increase of $\bm{1}$ in the value of $\bm{x}$, the value of $\bm{y}$ increases by a factor of 4. When $\bm{x}=0$, $\bm{y}=200$. Which equation represents this relationship?

MathAdvanced Math

$b=42cf$ The given equation relates the positive numbers $b$, $c$, and $f$. Which equation correctly expresses $c$ in terms of $b$ and $f$?

MathAdvanced Math

$(x-11y)(2x-3y)-12y(-2x+3y)$ Which of the following is equivalent to the expression above?

MathAdvanced Math

In the $xy$-plane, the graph of the equation $y=-x^{2}+9x-100$ intersects the line $y=c$ at exactly one point. What is the value of $c$?

MathAdvanced Math

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MathAdvanced Math

The area $A$, in square centimeters, of a rectangular cutting board can be represented by the expression $w(w+9)$, where $w$ is the width, in centimeters, of the cutting board. Which expression represents the length, in centimeters, of the cutting board?

MathAdvanced Math

Which expression is equivalent to $\sqrt[7]{x^{9}y^{9}}$, where $x$ and $y$ are positive? **

MathAdvanced Math