Questions by J Edward Ellis

Questions by J Edward Ellis

Let n be a positive integer. (a) Prove that n^3 = n + 3n(n - 1) + 6 C(n, 3) by counting the number of ordered triples (a,b,c), where 1 <= a, b, c <= n, in two different ways. (b) Prove that C(n + 2, 3) = (1)(n) + (2)(n - 1) + (3)(n - 2) + . . . + (k)(n - k + 1) + . . . + (n)(1), by counting the number of subsets of {1, 2, 3, . . ., n + 2} containing three different numbers in two different ways.

asked Oct 11, 2020

1 answer

3 votes

73.4k views

in a scale drawing of an apartment, 1 centimeter represents 2 3/4 feet. If the length of the kitchen in 4 1/2 cm on the scale drawing, what is the actual length, in feet, of the kitchen?

asked Jan 1, 2020

1 answer

4 votes

131k views

Barbara and jeffrey are both psychologists. barbara believes that biology is the sole cause for psychological disorders. jeffrey believes that while biology plays a large role, psychological and social

asked Aug 16, 2019

1 answer

0 votes

183k views

Zach has 3/4 hour play video games. It takes him 1/12 hour to set up the stystem. Each round of his favorite game takes 1/6 hour. How many rounds can he play.

asked Jul 21, 2019

1 answer

0 votes

82.4k views

Because we all want to view ourselves in a positive manner, when we use unethical behavior, we often justify the behavior to protect our ____ so that we don't have to feel bad.

asked Apr 4, 2019

1 answer

0 votes

189k views

Name three other conditions that maximize enzymatic reactions

asked Mar 15, 2019

1 answer

1 vote

162k views

Describe Europe's increasing global power between 1500 and 1900, and evaluate whether this rise was caused by factors internal to or external from Europe..

asked Feb 5, 2019

2 answers

1 vote

31.8k views

Plastics net, hospital network.com, textile web, and ebay business are all examples of

asked Feb 7, 2018

1 answer

4 votes

116k views

9x1x5= & I have to use parentheses

asked Oct 16, 2015

2 answers

3 votes

145k views

a spinner is divided into 8 equal sections. 5 sections are red and 3 are green. if the spinner is spun 3 times, what is the probability that it lands on red exactly twice?

asked Aug 7, 2015

2 answers

2 votes

28.1k views

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