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Embed a screenshot of the output console for “A Message from Proxima B” problem below:

Embed a screenshot of the output console for “Vending Machine” problem below: In a single run, test your program with these characters in order: $, N, Q, D, x, P, $

For the given function expressed verbally, give a symbolic representation.To convert x square yards to y square feet, multiply x by 9. Let y = f(x).

Write a formula for a linear function f whose graph satisfies the conditions.Slope: – ; y-intercept:

Solve by completing the square.x2 + 4x = 9

State whether the given function is linear and constant, linear but not constant, or nonlinear.f(x) = -3x + 7

Solve the inequality.x2 – 9x + 20 > 0

Consider a pipe that flows through the ground floor and up to the second floor of house. 4 °C fresh water is pumped at a speed of 0.50 m/s through a 5.0 cm diameter pipe at the ground floor, under a pressure of 2.5 atm. What will be the pressure in a 4.0 cm diameter pipe at the second floor 6.0 m above. 

Challenge You are a U.S.-based currency speculator researching call options on the EUR. The currency spot exchange rate is 1.050 USD per 1 EUR. You find that the price of 1.100-strike calls with one-year remaining maturity is 0.05 USD per EUR. If the risk-free rate in USD is currently 5.00 percent and market estimate of the exchange rate’s volatility is 15.00 percent, what EUR risk-free rate is implied by the observed call price? Enter your answer as a percentage, rounded to the nearest 0.0001%.

A 12.2 m long rope is shaken up and down creating transverse waves which travel the length of the rope in a time of 2.00 seconds. The tension in the rope is 80.0 N. Calculate the mass of the rope.