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Trigonometry

Exponential

Log

Polynomials

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100

Convert 9pi/10 from radians to degrees.

162 degrees.

100

3^x=81

100

log₁₁(121)=?

100

(x³ - 4x² + 2x + 5) / (x-2)

x² - 2x - 2 + 1/(x-2)

100

What do you call bears with no ears?

200

Convert 225 degrees to radians.

5pi/4

200

x²=5

x=+ or - square root of 5

200

log₂(x)=-8

1/256

200

(3x³ + 4x +11) / (x² -3x +2)

3x + 9 + (25x - 7)/(x² - 3x + 2)

200

Why aren’t koalas actual bears?

The don’t meet the koalafications.

300

tan(225)=?

300

(x+2)⁴=81

1 or -5

300

2log(x) + log(x) = log(125)

300

With 100 ft of fence, you would like to build a rectangle with the maximum area. What are the dimensions of the rectangle.

25 x 25

300

Name a tech store which would never have windows.

Apple

400

cos(0) + sin(pi/3) - sin(3pi/2) + tan(pi/2) = ?

1 + 0.5 - (-1) + undefined = undefined :)

400

If the number of bacteria in a colony doubles every hour and there is currently a population of 100 bacteria, what will the population be 3 hours from now? Write out the growth function as well.

800 and P=100(2)^x

400

3(5^x+2)= 960

log₅(320)-2

400

You are selling headphones. Your profit is equal to the number of headphones, q, multiplied by the price of the headphone, p. The relationship between q and p is given by q = 60 - p, where the sales go down as the price goes up. How should you set the price so that you make the most profit?

30 dollars.

400

Why should you never trust atoms?

Because they make up EVERYTHING.

500

5sin²(cats) + 5cos²(cats) = ?

500

If a town with a population of 10,000 quadruples in size every 12 years, what will the population be 18 years from now?

P = 10,000(4)^x/12

80,000 when x = 18

500

A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours. Given that there were approximately 100 bacteria to start with, how many hours does it take to reach 4648 bacteria?

4648= 100(2)^x/6.5

500

What time on the clock would be hands down the best ever?

6:30.