ShowPer Page
Which expression is equivalent to $9x^{2}+5x$?
MathAdvanced Math
The power $P$ produced by a machine is represented by the equation above, where $W$ is the work performed during an amount of time $t$.<br/>Which of the following correctly expresses $W$ in terms of $P$ and $t$?
MathAdvanced Math
Blood volume, $V_{\mathcal{B}}$, in a human can be determined using the equation $V_{\mathcal{B}}=\dfrac{V_{\mathcal{P}}}{1-H}$, where $V_{\mathcal{P}}$ is the plasma volume and $H$ is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume?
MathAdvanced Math
The functions $f$ and $g$ are defined by the given equations, where $x\geq 0$. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where $x\geq 0$?<br/><br/>1. $f(x)=33(0.4)^{x+3}$<br/><br/>1. $g(x)=33(0.16)(0.4)^{x-2}$
MathAdvanced Math
The function $\bm{f(x)}=200,000(1.21)${}^{x}$ gives a company's predicted annual revenue, in dollars, $\bm{x}$ years after the company started selling light bulbs online, where $0<$\bm{x}$\leq 10$. What is the best interpretation of the statement "$\bm{f(5)}$ is approximately equal to 518,748" in this context?
MathAdvanced Math
A certain college had 3,000 students enrolled in 2015. The college predicts that after 2015, the number of students enrolled each year will be 2% less than the number of students enrolled the year before. Which of the following functions models the relationship between the number of students enrolled, $f(x)$, and the number of years after 2015, $x$ ?
MathAdvanced Math
$\(M=1,800(1.02)^{t}\)$<br/><br/>The equation above models the number of members, $\(M\)$, of a gym $\(t\)$ years after the gym opens. Of the following, which equation models the number of members of the gym $\(q\)$ quarter years after the gym opens?<br/><br/>$\(M=1,800(1.02)^{\frac{q}{4}}\$
MathAdvanced Math
## Abstract<br/><br/>In this thesis we present a new method for calculating the
MathAdvanced Math
Which expression is equivalent to $a\frac{\frac{11}{12}}{\sqrt[12]{a^{132}}}$, where $a>0$?<br/><br/>B. $sqrt[12]{a^{132}})$<br/><br/>C. $sqrt[12]{a^{132}})$<br/><br/>D. $sqrt[12]{a^{132}})$
MathAdvanced Math
In the $xy$-plane, the graph of $y=x^{2}-9$ intersects line $\rho$ at $(1,a)$ and $(5,b)$, where $a$ and $b$ are constants. What is the slope of line $\rho$ ?
MathAdvanced Math
Which of the following is equivalent to $2(x^{2}-x)+3(x^{2}-x)$?
MathAdvanced Math
$$P(t)=290(1.04)^{(\frac{4}{6})t}$$<br/><br/>The function $P$ models the population, in thousands, of a certain city $t$ years after 2005. According to the model, the population is predicted to increase by $n\%$ every 18 months. What is the value of $n$?
MathAdvanced Math
$\begin{tabular}{|c|c|} \hline<br/>\textbf{Time (years)} & \textbf{Total amount (dollars)} \\ \hline<br/>0 & 670.00 \\ \hline<br/>1 & 674.02 \\ \hline<br/>2 & 678.06 \\ \hline \end{tabular}$<br/><br/>Sara opened a savings account at a bank. The table shows the exponential relationship between the time $t$, in years, since Sara opened the account and the total amount $d$, in dollars, in the account. If Sara made no additional deposits or withdrawals, which of the following equations best represents the relationship between $t$ and $d$?
MathAdvanced Math
$\frac{1}{7b}=\frac{11e}{y}$<br/><br/>The given equation relates the positive numbers $b$, $x$, and $y$. Which equation correctly expresses $x$ in terms of $b$ and $y$?
MathAdvanced Math
Which expression is equivalent to $6x^{8}y^{2}+12x^{2}y^{2}$?
MathAdvanced Math
$y=(x-2)(x+4)$<br/><br/>$y=6x-12\$<br/><br/>Which ordered pair $(x,y)$ is the solution to the given system of equations?
MathAdvanced Math
$$p=20+\frac{16}{n}$$<br/><br/>The given equation relates the numbers $p$ and $n$, where $n$ is not equal to $0$ and $p>20$. Which equation correctly expresses $n$ in terms of $p$?
MathAdvanced Math
An engineer wanted to identify the best angle for a cooling fan in an engine in order to get the greatest airflow. The engineer discovered that the function above models the airflow $\bm{f}(\bm{\theta})$, in cubic feet per minute, as a function of the angle of the fan $\bm{\theta}$, in degrees. According to the model, what angle, in degrees, gives the greatest airflow?
MathAdvanced Math
$X+y=12$<br/><br/>$y=x^{2}$<br/><br/>If $(X,y)$ is a solution to the system of equations above, which of the following is a possible value of $x$?
MathAdvanced Math
The function $f$ is defined by $f(x)=(x+3)(x+1)$ . The graph of $f$ in the $xy$-plane is a parabola. Which of the following intervals contains the $x$-coordinate of the vertex of the graph of $f$ ?
MathAdvanced Math
When the quadratic function $\bm{f}$ is graphed in the $\xy$-plane, where $\bm{y}=\bm{f}(\bm{x})$, its vertex is $(-3,6)$. One of the $x$-intercepts of this graph is $\left(-\frac{17}{4},0\right)$. What is the other $x$-intercept of the graph?
MathAdvanced Math
$\bullet$<br/><br/>Which expression is equivalent to $\left(7x^{3}+7x\right)-\left(6x^{3}-3x\right)$?
MathAdvanced Math
The function $f$ is defined by $f(x)=x^{3}+9$. What is the value of $f(2)$?
MathAdvanced Math
The speed of sound in dry air, $\nu$, can be modeled by the formula<br/><br/>$\nu=331.3+0.606T$, where $$T$ is the temperature in degrees Celsius and $$v$ is measured in meters per second. Which of the following correctly expresses $$T$ in terms of $$v$ ?
MathAdvanced Math
The height, in feet, of an object $x$ seconds after it is thrown straight up in the air can be modeled by the function $h(x)=-16x^{2}+20x+5$. Based on the model, which of the following statements best interprets the equation $h(1.4)=1.64$ ?
MathAdvanced Math