Other Math Answers

Students will exhibit the use of mathematical reasoning and problem- solving skills to a range of issues encompassing political through mini- magazine

students will exhibit the use of mathematical reasoning and problem- solving skills to a range of issues encompassing financial aspects or involving natural sciences, technology, and the arts through mini- magazine

Derive the following relation for flow through variable area duct:

( ) 2 = −1 dA dV M

A V

Where A is cross sectional area, V is velocity of flow and M is Mach number. Also discuss the

significance of this equation.

Write a system of linear equation representing any physical phenomena

(i) Solve the system by analytical method.

(ii) Solve the system by numerical method.

Use the 𝑛th term formula for polygonal numbers to find the following:

a.) 32nd term of triangular number

b.) 17th term of square number

c.) 44th term of pentagonal number

Determine whether each of the following statements about Fibonacci numbers is true or false.

a.) 𝐹𝑛+1 = 𝐹𝑛2 + 𝐹(𝑛−1)3 for every n ≥ 2

b.) 𝐹𝑛 = 2𝐹𝑛+1 for every n ≥ 2

peter selects a month for his holiday.find the probability that will be april or december.assume that all months have an equal opportunity of being selected

Find the equation in the from ax^2+bx+c=0 whose sum and product roots are respectively 3/2, —5/2.

A leading process engineering company bought three (3) major pieces of equipment:

a shell and tube heat exchanger; a storage tank and a three-phase vertical separator.

The company purchased the exact same type of equipment three (3) times within a

ten (10) year period.

Due to audit concerns and missing receipts, you are tasked with determining the cost of EACH

piece of equipment in $US, using The Gauss-Jordan Matrix Method. You are only provided with the total cost(US$) of the following:

1st Time: 3 tanks + 4 heat exchangers + 2 vertical separators cost US$157,500

2nd Time: 2 tanks + 1 heat exchanger + 3 vertical separators cost US$90,000

3rd Time: 5 tanks + 3 heat exchangers + 2 vertical separators cost US$149,500

A motor bike was originally listed at $769.99. The price was first discounted to $550.54, followed by a final discounted price of $449.79. What was the single equivalent rate of discount at the final price? (leave answer to 2 decimal places)