Work each problem. Show that \frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i is a square root of i.

3m + 8 = 15 quadratic or not quadratic 

What is ${2016}^{{2017}^{2018}}\equiv (mod 77)$? Use Chinese Remainder Theorem and Euler's Theroem.

Find the sum of all the multiples of 3 in between 100 and 1000

Kendall reads 8 pages each night. DeSean reads 32 pages every 4 nights. Are Kendall and DeSean reading at the same rate?

Chase wants to earn at least $900 this month in commission. What is the minimum amount he needs to sell in order to earn $900 if he earns a 3.3% commission on everything he sells? Round to the nearest dollar.

If you know that a relationship is proportional and are given one order pair that is not (0,0,) how can you find another pair.

A construction worker drops his wrench. Its fall is modelled by the relation h = -4,9t²+342, where h is the height above the ground, in metres, and t is the time after the wrench was dropped in seconds. a) What is the vertex of this relation? b) What does the vertex tell us about the wrench's drop? c) How far has the wrench fallen after 5 seconds? d) When will the wrench hit the ground? What does this point represent on the graph (hint! convert to factored form)

Given A = {1, 2, 3, 4} and B = {x, y, z}. Let 𝑅 = {(1, 𝑥), (1, 𝑧), (3, 𝑦), (4, 𝑥), (4, 𝑧)}

(a) Determine the matrix of the relation.

(b) Draw Digraph of R

(c) Find the inverse of R.

(d) Determine the domain and range of R

a soup kitchen had 6 1/2 gallons of soup at the start of the day they had 2 1/10 gallons of soup left by the end of the day how maky gallons of soup did they use during the day

Find the measure of two complementary angles if one third of the first angle is 4 less then 1 third of the second angle

Jill is thrice as old as jack. Four years from now, Jill will only be twice as old as Jack. How old is Jill?

The population P of a city can be modeled by P = 250,000 e0.01t where t is the number of years since 1990. What was the population in 2002?

The population P of a city can be modeled by P = 250,000 e 0.01t where t is the number of years since 1990. What was the population in 2002?

 The distance between the school and the park is 6 km.  There are 1.6 km in 1 mile.  How many miles apart are the school and the park?

Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.