Simplify the following using complex conjugate:

4 + i / 2 - 6i

The earth is 93 million miles from the sun. Mars is 141.6 million miles from the sun. How much further is Mars than Earth from the sun?

Estimate. Then find the difference & write in simplest form. 5 1/3 - 3 5/6. Estimate Exact

Work out the area of this semicircle take pie to be 3.142 and write down all the digits given by your calculator 18cm

Numbers like 10; 100; 1,000 and so on are called what idiots?

Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have? Discriminant = b2-4ac 0 1 2 24

Last year, a construction worker had a gross income of 29,700 of which he contributed 7% to his 401 (k) plan. If he got paid monthly, how much was deducted from each paycheck for his 401 (k) plan?

Find the circumference of both circles. Use 3.14 for a 6 in. 9 in.

Determine which of the following ordered pairs satisfies the given system of equations. {-2x+y=8 y=2x/5 - 8 Select all that apply: (72,-72) (-3,2) (-1,5) (-2,-445) (-10,-12)

Suppose that you are running a concession stand when a person gives you $18 and asks for six soft drinks and as many hot dogs as the remaining money will buy. If soft drinks are $1.00 and hot dogs are $1.

Solve. Write the solution set in interval notation. x + 7 ≥ 4x - 2