Determine how many miles he can travel on 6 gallons

Express the following complex numbers in rectangular form. Show how you get the answer and use a calculator to verify your answer. E. g. 2 pts for 2∠30°=2 (cos30°+? sin30°) = 1.73+?; 1 pt for 2∠30°=1.73+?. Same grading criteria as 1.4.

How do you work out 8x+3=8*+27

An experimenter wrote an article claiming that a drug he designed is the best treatment available for pancreatic cancer.

An equation is shown below: 2/3x + 8/3=2^x What is the solution to the equation? x = - 2 x = - 1 x = 1 x = 2

A plant grows 3 centimeters in 10 days. How much does it grow per day? Write your answer as a fraction in simplest form

The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter?

1. Which equation represents the linear graph? A) y = 2x - 4 B) y = 2x + 4 C) y = 4x - 2 D) y = 4x + 2

Mary has $500 in her account. She makes a $350 withdrawal, deposits $100, and then gets charged a $20 fee. How much does she have in her account? A) $180 B) $230 C) $290 D) $340

A function g (x) has x-intercepts at (1/2,0) and (6,0). Which could be g (x) ? g (x) = 2 (x + 1) (x + 6) g (x) = (x-6) (2x - 1) g (x) = 2 (x - 2) (x-6) g (x) = (x + 6) (x + 2)

Roger is training for a half-marathon. The course is 13.1 miles long. Let p represent Roger's average pace in minutes per mile. Write and solve an inequality to show the average pace needed to finish the half marathon in less than 2 hours.