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What is the mass of water if it contains 6.022 x 1025 atoms of oxygen


college student has two options for meals: eating at the dining hall for $6 per meal, or eating a


Cup O’ Soup for $1.50 per meal. Her weekly food budget is $60.


a. Draw the budget constraint showing the trade-off between dining hall meals and Cups O’


Soup. Assuming that she spends equal amounts on both goods, draw an indifference curve


showing the optimum choice. Label the optimum as point A.


b. Suppose the price of a Cup O’ Soup now rises to $2. Using your diagram from part (a), show


the consequences of this change in price. Assume that our student now spends only 30 percent


of her income on dining hall meals. Label the new optimum as point B.


c. What happened to the quantity of Cups O’ Soup consumed as a result of this price change?


What does this result say about the income and substitution effects? Explain.


d. Use points A and B to draw a demand curve for Cup O’ Soup. What is this type of good


called?

How many grams of Lactic acid (C6H10O5) should be dissolved in 647g of cyclohexane (C6H12) to raise the boiling point to 84.910C? The normal boiling point of cyclohexane is 810C and its molal boiling point is 2.75 0C/m.

Let {u1, u2, ..., un} be an orthogonal basis for a subspace W of R

n

, and let T : R

n → R

n

be defined by T(x) = projW (x). Show that T is a linear transformation.


First line contains an integer M, The number of district alphabet he is addicted to

Show that T(x1, x2, x3, x4) = 3x1 −7x2 + 5x4 is a linear transformation by finding the

matrix for the transformation. Then find a basis for the null space of the transforma￾tion.


Two equal charges are located 1m from each other. The force acting between them is 2N. How many Coulombs is each charge?


Write a function-oriented program that calculates the power value of the input base number and exponent number. Then display the power value. Sample input/output dialogue: Enter base number: 5 Input data Enter exponent number: 3 Second input data Power value: 125 Output (The computation is 53 = 5 * 5 * 5 = 125


A group of students got the following scores in a test:9,12,15,18,21 and 24. Consider samples of size 3thag can be drawn from this population. List all the possible samples and the corresponding determine and list all possible samples and the corresponding sample means

A group of students got the following scores in a test:9,12,15,18,21 and 24. Consider samples of size 3thag can be drawn from this population. List all the possible samples and the corresponding mean. Determine and list all possible samples and the corresponding sample means.

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