allhvasstH

2021-02-02

Felicia is deciding on her schedule for next semester. She must take each of the following classes: English 102, Spanish 102, History 102, and College Algebra. If there are 16 sections of English 102, 9 sections of Spanish 102, 13 sections of History 102, and 15 sections of College Algebra, how many different possible schedules are there for Felicia to choose from? Assume there are no time conflicts between the different classes.

hajavaF

Skilled2021-02-03Added 90 answers

Step 1

Fundamental counting principle:

FCP is a rule used to count the total number of possible outcomes in a situation. It states that if there are n ways of doing something and m ways doing another thing after that, then there are nxm ways to perform both of these actions.

Step 2

Felicia must take each of the following classes: English 102, Spanish 102, History 102, and College Algebra. If there are 16 sections of English 102, 9 sections of Spanish 102, 13 sections of History 102, and 15 sections of College Algebra.

Using fundamental counting principle,

There are$16\times 9\times 13\times 15=28080$ ways.

Thus, there are 28,080 different possible schedules are there for Felicia to choose.

Fundamental counting principle:

FCP is a rule used to count the total number of possible outcomes in a situation. It states that if there are n ways of doing something and m ways doing another thing after that, then there are nxm ways to perform both of these actions.

Step 2

Felicia must take each of the following classes: English 102, Spanish 102, History 102, and College Algebra. If there are 16 sections of English 102, 9 sections of Spanish 102, 13 sections of History 102, and 15 sections of College Algebra.

Using fundamental counting principle,

There are

Thus, there are 28,080 different possible schedules are there for Felicia to choose.

Given that 1${\mathrm{log}}_{a}\left(3\right)\approx 0.61$ and l${\mathrm{log}}_{a}\left(5\right)\approx 0.9$ , evaluate each of the following. Hint: use the properties of logarithms to rewrite the given logarithm in terms of the the logarithms of 3 and 5.

$C=\frac{5}{9}(F-32)$

The equation above shows how temperature

*F*, measured in degrees Fahrenheit, relates to a temperature*C*, measured in degrees Celsius. Based on the equation, which of the following must be true?1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of $\frac{5}{9}$ degree Celsius.

2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

3. A temperature increase of $\frac{5}{9}$ degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A) I only

B) II only

C) III only

D) I and II onlyOne of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.

One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.

if -x^2+y^2=4-4x^2y then find the equations of all tangent lines to the curve when y=-5

Find the formula for an exponential function that passes through (0,6) and (2,750)

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is

x-6y-5=0

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is x-6y-5=0

A polynomial of a degree 5 had rational coefficients and the zeros $\frac{4}{3},8i$, and $3-5\sqrt{2}$

What are the missing zeros?

Let R be the relation on the set {0, 1, 2, 3} containing the ordered pairs (0, 1),(1, 1),(1, 2),(2, 0),(2, 2),(3, 0). Find reflexive, symmetric and transitive closure of R.

A baseball team plays in a stadium that holds 70,000 spectators. With the ticket price at $11, the average attendance has been 29,000. When the price dropped to $10, the average attendance rose to 35,000. Assuming the demand function, p(x)$p\left(x\right)$, is linear, find p(x)$p\left(x\right)$, where x$x$ is the number of the spectators.

*Write p(x)*$p\left(x\right)$*in slope-intercept form.*To break even in a manufacturing business, income or revenue R must equal the cost of production the letter C. The cost the letter C to produce X skateboards is the letter C = 108+21X. The skateboards are sold wholesale for $25 each, so revenue the letter R is given by the letter R = 25 X. Find how many skateboards the manufacture needs to produce and sell to break even. (Hint: set the cost expression equal to the revenue expression and solve for X.)