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M8D1: DISCUSSION QUESTION (150 words)This problem comes from an old Indian folktale. A king is indebted to a young girl, and asks her what she wants as her reward. To the king's surprise, the girl asks for a single grain of rice on the first day of the month, two grains of rice on the next day, four grains on the day after that, and to continue doubling the number of grains of rice she receives each day until the end of the month. Answer the following questions:How many grains of rice will the girl receive on day 10 of the month?There are approximately 30,000 grains of rice in one pound. How many pounds of rice will she receive on the 30th day of the month? Express your answer two different ways: one using exponents and the other in scientific notation.
Imagine that every single person in your contact list has the same number of people in their contact list as you. Write this total number of all the contacts in all the phones (ignore the fact that some may repeat) as an exponential. Next, evaluat..
Prove that in the equation x^2 - 3xy +2y^2 - 2x - 3y - 35 = 0, for every real value of y there is a real value of x, and for every real value of x there is a real value of y.
Define a polynomial and a rational expression. What makes a rational expression unique? Provide two original examples of a rational expression and two that are not. Mix the expressions up and label them A. B. C. and D..
In your own words, define the term equation and then explain what it means to solve an equation. Give an example of an equation and its solution.
a researcher wants to be able to predict first-semester grade point average with as much accuracy as possible so she
A rectangular swimming pool is twice as long as it is wide. A small walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.
Word problems of equations.
A complete algebraic formulation of the linear programming model. This should include a description of the decision variables and an explanation of the objective function and constraints.
let x be a continuous random variable with the pdf f and the cdf f. assume that fx gt 0 for all real numbers x. define
Find the LCM of the denominators
suppose your average after taking 3 quizzes is 76 out of 100. what must your average be on the next 5 quizzes to
FIND and PROVE a formula for the inverse hyperbolic tangent, arctanh(x). The formula should involve a natural logarithm. Also, check the answer by substituting the definition of tanh x into your inverse formula and simplify. Show all work please.
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