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Megan Banks

University of Toledo
N/A

Biography

Hello!
I completed a degree in Astronomy; however, the degree started as a physics degree, so I have a lot of experience with calculus, physics, and algebra. I have always wanted to be a tutor in mathematics and love helping people understand.

Education

BA Astronomy
University of Toledo

Educator Statistics

Numerade tutor for 5 years
13 Students Helped

Topics Covered

Exploring the World of Derivatives: A Comprehensive Guide
Stand Out with Differentiation Strategies | Boost Your Business
Mastering Polynomials: Essential Tips and Tricks | [Brand Name]
Functions
Mastering Equations and Inequalities: Your Guide to Mathematical Success

Megan's Textbook Answer Videos

04:26
Student's Solutions Manual for College Algebra

The force needed to keep a car from skidding on a curve varies inversely as the radius $r$ of the curve and jointly as the weight of the car and the square of the speed. It takes 3000 lb of force to keep a 2000 -lb car from skidding on a curve of radius $500 \mathrm{ft}$ at $30 \mathrm{mph}$. What force will keep the same car from skidding on a curve of radius $800 \mathrm{ft}$ at $60 \mathrm{mph} ?$

Chapter 3: Polynomial and Rational Functions
Section 6: Variation
Megan Banks
06:44
College Algebra

Use the procedure in Exercise 79 to approximate the solution of the equation $0.3(x-1.5)-2=0,$ accurate to two decimal places.

Chapter 1: Equations, Inequalities, and Mathematical Modeling
Section 2: Linear Equations in One Variable
Megan Banks
08:34
College Algebra

An open box of maximum volume is to be made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure).
(Figure can't copy)
(a) The table shows the volumes $V$ (i centimeters) of the box for various height centimeters). Use the table to estimate then volume.
$$\begin{array}{|l|c|c|c|c|c|}
\hline \text { Height, } x & 1 & 2 & 3 & 4 & 5 \\
\hline \text { Volume, } V & 484 & 800 & 972 & 1024 & 980 \\\hline\end{array}$$
(b) Plot the points $(x, V)$ from the table in part the relation defined by the ordered pairs represent as a function of $x ?$
(c) Given that $V$ is a function of $x,$ write the and determine its domain.

Chapter 2: Functions and Their Graphs
Section 2: Functions
Megan Banks
11:19
College Algebra

The cost per unit production of an MP3 player is $\$ 60 .$ The man charges $\$ 90$ per unit for orders of 100 or encourage large orders, the manufacturer red charge by $\$ 0.15$ per MP3 player for each unit o excess of 100 (for example, there would be a $\$ 87$ per MP3 player for an order size of 120 ).
(a) The table shows the profits $P$ (in dollars) fo numbers of units ordered, $x .$ Use the estimate the maximum profit.
$$
\begin{array}{|l|c|c|c|c|}
\hline \text { Units, } x & 130 & 140 & 150 & 160 \\
\hline \text { Profit, } P & 3315 & 3360 & 3375 & 3360 \\
\hline
\end{array}
$$
(b) Plot the points $(x, P)$ from the table in part the relation defined by the ordered pairs re as a function of $x ?$
(c) Given that $P$ is a function of $x,$ write the and determine its domain. (Note: $P=$ where $R$ is revenue and $C$ is cost.)

Chapter 2: Functions and Their Graphs
Section 2: Functions
Megan Banks
12:26
College Algebra

The median sale prices $p$ (in thousands of dollars) of an existing one-family home in the United States from 2000 through 2010 (see figure) can be approximated by the model
$$
p(t)=\left\{\begin{array}{ll}
0.438 t^{2}+10.81 t+145.9, & 0 \leq t \leq 6 \\
5.575 t^{2}-110.67 t+720.8, & 7 \leq t \leq 10
\end{array}\right.
$$
where $t$ represents the year, with $t=0$ corresponding to $2000 .$ Use this model to find the median sale price of an existing one-family home in each year from 2000 through 2010. (Source: National Association of Realtors)
(Graph can't copy)

Chapter 2: Functions and Their Graphs
Section 2: Functions
Megan Banks
1 2

Megan's Quick Ask Videos

03:55
Precalculus

Given the cost function C(x) = 0.85x + 35,000 and the revenue function R(x) = 1.55x, find the break-even point and the profit function.

Complete the following:
Use the GeoGebra tool to graph the cost and revenue functions given above.
Identify the break-even point using the "Intersect" tool under "Points".
Save your GeoGebra work as a .pdf file for submission.
05:39
Precalculus

a) Find the probability for the experiment of drawing two
marbles at random (without replacement) from a bag
containing three green, four yellow,
and three red marbles.
Both marbles are red.
b) Find the probability for the experiment of drawing two
marbles at random (without replacement) from a bag
containing three green, three yellow,
and two red marbles.
The marbles are different colors.
01:47
Algebra 2

Simplify each expression, assuming that all variables represent nonnegative real numbers.
$$2 \sqrt{5}-3 \sqrt{20}+2 \sqrt{45}$$
03:59
Algebra 2

Factor.
$$x^{2}+64$$
08:55
Calculus 1 / AB

A silo (base not included) is to be constructed in the form of
a cylinder surmounted by a hemisphere. The cost of construction per
square unit of surface area is 4 times as great for the hemisphere
as it is for the cylindrical sidewall. Determine the dimensions to
be used if the volume is fixed at 16000 cubic units and the cost of
construction is to be kept to a minimum. Neglect the thickness of
the silo and waste in construction.
The radius of the cylindrical base (and of the hemisphere) is
____ (Round to the nearest tenth as needed.)
The height ___
1