Complex Numbers
What is i7 + i0?
What is -i + 1?
X2 + 4x +4=0
Solve for x
x= -2
JJ Tax offers 3 tax benefit options, 4 kinds of agents, and 5 kinds of suites for their tax plan. What are the total number of different tax plans possible?
60 different tax plans
What is the sum of the first 3 squares?
14
What is the volume of a cuboid that has lengths, 21, 2, 5 cm?
210 cm3
Simplify the expression (5 + 2i) + (7 - 6i).
12 - 4i
x2 - 20x + 64 = 0
x = a
x = b
ab - (a + b) = ?
44
Abominoes sells customizable pizzas with a choice of 3 kinds of crust, 3 kinds of cheese, and 5 optional toppings. How many different ways can a customer customize their pizza, if they can only get one of each kind of toping (crust, cheese, other topings)?
54
What is the sum of the first 16 positive integers
136
What is the length of the hypotenuse of a right triangle which has two legs of side lengths 5 cm and 12 cm?
13 cm
16x2 + 25 = 0
Solve for x, and express your answer in decimal form.
±1.25i
Simplify the expression
(3x - 4)(2x + 5)
6x2 + 7x - 20
Cash Badur has 4 signed Los Angeles Rams shirts (jerseys), 5 Finland shirts, 2 pairs of pants, 3 pairs of socks, and 2 pairs of cleats signed by Mathew Staford. How many ways can he dress up?
108 ways
A baker has 24 chocolate chip cookies and 36 sugar cookies. She wants to pack them into boxes so that every box has the same number of each type of cookie and no cookies are left over. What is the largest number of boxes she can make?
12
Dr. Donut is playing a 2d game where he has to climb a mountain that has no bumps or dips. He starts at coordinates (1,1) and climbs up to the tip of the mountain with no detours, reaching (5,7). What is the incline which he walked at? Express you answer as a common fraction in simplest form.
3/2
Rationalize this fraction:
(-4 - 3i)/(-3 - 4i).
24/25 - 7i/25
225x2 - 225 = 400
What are the sum of the roots of x?
0
6 students are running a race. How many different ways can the race end (ex: student 1 is first, student 2 is second, student 4 is third, etc)?
720 different ways for the race to end.
What is the number of divisors of 180?
18
5√5 units
Simplify the expression: 5i10 + (2 + 3i)2
-10 + 6i
In the video game Freddy's Forehead Maker, the goal is to make as long and wide as a forehead as possible. Shannon has a normal forehead that is 8 x 13 inches at the start of the game. If she ends the game with the area of her forehead being 204 in2, and if the length of her forehead increased by the same amount on each side, what is the increase in length on one side of Shannon's forehead?
2 inches
210
What is the sum of all the divisors of 300?
868
How many squares are in the rectangle with side lengths 67 and 69?
∞