Could you please explain (step by step) how to find the Galois group of x^3-2 over Q.

Which one of the followings is constructible by using compass and straightedge? Why

A. regular 7-gon

B. regular 37-gon

C. regular 85-gon

D. regular 97-gon

explain the following and illustrate your ansers using constructions,label your figures (i) an orthocentre of a triangle (ii) an altitude of a triangle (iii) median of a triangle (iv) centroid of a triangle

The table below contains data for a linear function:

Find a formula for the function.
f(t)=

This module covers Chapter 11, Section 11.1 to 11.4 and focuses on probability. One common example of probability is the daily or weekly lottery. Have you ever seen those drawings where they use ping-pong balls to select random numbers? If you calculate the chances of winning, they are pretty poor. For this week, I want you to design your own lottery and have another student assess the chances of winning. Keep it simple ... you could use dice, balls with numbers, or some other approach. Example initial post ... I would like to design a lottery where there are 3 dice in a bag. The person will pick one dice at a time and record the number. In the end, we will have a sequence of 3 numbers. What is the chance of winning my game? Example response post ... Since there are 6 sides to each dice, each selection has 6 different possible outcomes. Since we make 3 selections, the total number of outcomes is 6^3 = 6*6*6 = 216. So, our chances (or probability) of getting any single outcome is 1/216 or 1 out of 216. Another way to think of this is 1/216 = 0.004629 = 0.46% chance of winning. PLEASE TYPE- PLEASE TYPE

Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams.

Using games won as the explanatory variable xx, do the following:

(a) The correlation coefficient is r=.

(b) The equation of the least squares line is y^=

If 3m=12, then what does 2m+1 equal?   

A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 4% vinegar. The chef wants to make 320 milliliters of a mixture that contains 13% vinegar. How much vinegar and how much Italian dressing should she use?

Directions: Conduct research on the effectiveness of company celebrations. Research a specific company or use your current employer and answer the following questions in a 2 page response:

• What are 3 specific findings from your research about the effectiveness of company celebrations? Be sure to cite your sources.
• From your research, how effective are recognition or celebration experiences for an organization?
• What does the company or your current employer do to recognize extraordinary accomplishments? Provide a specific example of how this accomplishment led to a particular “movement” or “change” in thoughts and actions at the company. Explain. 
• How does your research on the effectiveness of company celebrations compare to what you have personally experienced? Give at least 2 specific examples.

(b) Show that the three bisectors of the an- gles of a triangle are concurrent, that is,they all pass through some point P.

During four years of college, Nolan MacGregor's student loans are $4000, $3500, $4400, and $5000 for freshman year through senior year, respectively. Each loan amount gathers interest of 1.9%, compounded quarterly, while Nolan is in school and 3%, compounded quarterly, during a 6-month grace period after graduation.

(a) What is the loan balance after the grace period? Assume the freshman year loan earns 1.9% interest for 3/4 year during the first year, then for 3 full years until graduation. Make similar assumptions for the loans for the other years. (Round your answer to the nearest cent.) the answer is not 17.66 or 17.67 or 21828.40

(b) After the grace period, the loan is amortized over the next 10 years at 3%, compounded quarterly. Find the quarterly payment. (Round your answer to the nearest cent.)
$ the answer is not 21421.39 or 1,054

(c) If Nolan decides to pay an additional $70 per payment, how many payments will amortize the debt? (Round your answer up to the next whole number.)
the answer is 35 quarters

(d) How much will Nolan save by paying the extra $70 with the number of payments from part (c)? (Round your answer to the nearest cent.)
$ the answer isnt 784.84 or 1124 or 5270

Can i please have a quick explanation on Markov Chain in linear algebra.

Thanks

Applied Math

Let T be the operator on P₂ defined by the equation T(f)=f+(1+x)f'

(a) Show T i linear operator from P₂ into P₂!

(b) Give matrix reppressentaion in base vectorss B={1,x,x²}!

(c) Give a diagonal matrix representing T

(d) Give a diagonal matrix representing T

Where P₂ is ppolynomials with degree less then or equal to 2 and f' is the derivative of polynomial f.