Marcus rowed 20 miles downstream in 2 hours. The trip back, however, took him 4 hours. Find the rate that Marcus rows in still water and the rate of t

The function ${\displaystyle y=3.5x+2.8}$ represents the cost y (in dollars) of a taxi ride of x miles.
a. Identify the independent and dependent variables.
b. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function.

A city water department is proposing the construction of a new water pipe, as shown. The new pipe will be perpendicular to the old pipe. Write an equation that represents the new pipe.

The fourth term of ${\displaystyle (2x+y)5}$
A binomial is a polynomial which contains two terms. Algebraically, sum or difference of two monomials is a binomial. Binomial theorem is used to expand the binomials to any given power without direct multiplication. According to the theorem, ${\displaystyle (x+y)n=\sum k=0\cap Ckxn-kyk}$ where ${\displaystyle nCk=C(n,k)=n!(n-k)!k!}$ is the binomial coefficient in the theorem. It represents the number of ways in which k unordered outcomes can be selected from a total of n possibilities. The formula to find rth term is given as ${\displaystyle tr=nCr-1xn-r+1yr-1}$, where n is the exponent of the binomial, r is the number of the term to be found, x is the first term of the binomial and y is the second term of the binomial.

A single expression for the logarithmic expression ${\displaystyle \log 10x^5-\log 5x}$

The distance (in millimeters) traveled by a swinging pendulum decrease after each swing, as shown in the table.
a. Write a function that represents the distance the pendulum swings on its nth swing.
b. After how many swings is the distance 256 millimeters?

a) A model of the provided data in the form ${\displaystyle y=a{b}^x}$.
b) The function obtained in part (a) as an exponent function with base e.
c) To calculate: The monthly cost for January in the year 2015.

When is the concept of a weak entity used in data modeling? Define the terms owner entity type, weak entity type, identifying relationship type, and partial key.