1.C.1377. How many 6-digit cube-numbers are there?
C.1378. Somebody calculated the exact values of and in the decimal system.
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and in the decimal system. How many digits are there in these two numbers all together?
C.1379. Alex and Burt took their rabbits to a whole salesman to sell them to him at once. Each of them got as many dollars for each of their rabbits as many as the rabbits they each took to him. But, because their rabbits were so beautiful, they each got as many extra dollars for their rabbits from the salesman as many as the rabbits they each sold him. This way Alex received $202 more than Burt. How many rabbits did they each sell to the salesman?
C.1380. How many {a, b, c} sets are there containing three positive whole elements, where the product of a, b, and c is 2310?
C.1381. Let a, b, c, and d be different digits. Find their values so that the following sum has the least possible number of divisors, but the sum itself is the greatest possible.
C.1382. Fill in a 25×25 grid by using the numbers +1 and -1. Create the products of the 25 numbers in each column and in each row. Could the sum of these 50 numbers be:
a) 0
b) 10
c) 17?
C.1383. Is there such a triangle in which the heights are 1, 2, and 3 units long?
C.1384. You put a plain on each side of a regular, square-based pyramid. How many sections do these 5 planes divide the space?
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15.Questions
Question#1 (3-2) a) Use the inversion algorithm to invert A=[■(1&2&1@1&1&1@1&1&2)]
b) Use your result in (a) to solve the system:
■(x&+2y&+z&=1@x&y&+2z&=2@x&+y&+2z&=3)
Question#2 (5) (modified
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Use your result in (a) to solve the system:
■(x&+2y&+z&=1@x&y&+2z&=2@x&+y&+2z&=3)
Question#2 (5) (modified from #13 p. 102 in your book)
Solve the matrix equation for X
X[■(1&1&1@1&2&0)]=[■(1&1&1@3&4&2)]
Question#3 (5) (modified from #9 p. 102 in your book) Let
[■(a&0&b&2@0&a&3&6@0&a&b&c+2)] be the augmented matrix of a linear system.
Find for what values of a,b,c the system has:
(i) a unique solution
(ii) a one-parameter solution
(iii) a two-parameter solution
iv) no solution
Question#4 (7) Write the matrix A=[■(-1&1&-1@1&1&-1@1&-1&2)] as a product of elementary matrices
Question#5 (3) Find the determinant by any method:
|■(0&-1&0&0&1@1&1&1&3&1@1&2&3&1&2@1&-1&0&3&1@1&-1&1&0&1)|
Question#6 (3-2)Given thissystem:
■(x_1&+2x_2&+x_3&=1@x_1&-〖3x〗_2&+0x_3&=2@x_1&+0x_2&+2x_3&=3)
a) Use Cramer’s method to solve for x_1 only
b) Solve for the other variables by any method.
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17.Statistics help. Find the mean and standard deviation for the 65 low prices in your sample and provide the printout
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de the printout below. Use these values as estimates of the mean and standard deviation found in the population of all low prices. Suppose that the low prices were normally distributed (regardless of what your data may indicate). Find the proportion of all low prices that would be between $20 and $50 in the population. I want you to show your work. To receive full credit, you should include pictures of the normal curve (labeled with both x and z-values) with the pertinent probabilities shaded in the picture
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23.I am working with English and need help answering some Jane Eyre questions. Only chapters 28-35 and 36-38.
Chapters 28-35
Did any
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36-38.
Chapters 28-35
Did any events in Chapters 28-35 seem unrealistic, or improbable, to you? Explain.
What happens to Jane on the way to Marsh End? What does Jane’s reaction to the news reveal about her?
How does St. John help Jane? What news does he bring to Jane? What does Jane’s reaction to the news reveal about her?
Why does St. John ask Jane to come to India with him as his wife? How does she answer him? What do you think Jane means when she says, “If I join St. John, I abandon half myself?”
Jane comes close to changing her mind about marrying St. John. Why? What does her response to Rochester’s voice suggest about her values and feelings? What conflicts seem to be troubling her?
What kinds of images does Bronte use to describe St. John? Give two examples. Why are these images appropriate?
Chapters 36-38S
Did you find the ending of the novel satisfying? Why or why not?
What shock does Jane receive when she returns to Thornfield? What does she learn about its inhabitants?
How does Rochester say he felt in Jane’s absence? What spiritual change has occurred in Rochester?
Do Jane and Rochester still feel the same way about each other? Explain.
In what way have the roles in Jane and Rochester’s relationship reversed?
Is the situation at the end ironic?
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