What is (2, - /6) in rectangular coordinates?

Select one:

a. 0

b. (sqrt 3, 1)

c. (sqrt 3, -1)

d. - 1 / (sqrt (2) + sqrt (6))

e. Impossible

Question 12

If an ant is 100 feet away from a tree growing straight up, and the ant has to look up at an angle of 68 degrees to see the top of the tree, how tall is the tree? Select the closest answer.

Select one:

a. 200 feet

b. 140 feet

c. 80 feet

d. 20 feet

e. 10 feet

Question 13

How much must be invested today at 10 %, compounded continuously, to be worth $165,000 in 5 years? Pick the closest answer. [Use e = 2.71]

Select one:

a. $150,000

b. $130,000

c. $110,000

d. $100,000

e. No amount will be enough

Question 14

What is the exact value of sin (22.5 degrees)?

Select one:

a. .383

b. sqrt (2)

c. sqrt (2 - sqrt(2)) / 2

d. sqrt ((2 + sqrt (2)) / 4)

e. Impossible

Question 15

What is the exact value of sin (120 degrees)?

Select one:

a.

b. .866

c. 3/2

d. -1/2

e. None of these

Question 16

What is the exact value of sin (15 degrees)?

Select one:

a. .380

b. sqrt (2 - sqrt(3)) / 2

c. sqrt (2 + sqrt (3)) / 2

d. .350

e. Impossible

Question 17

What is 2cis(-/3) in rectangular coordinates?

Select one:

a. (-1, - sqrt 3)

b. (1, - sqrt 3)

c. (1, sqrt 3)

d. (-1, sqrt 3)

e. Impossible

Question 18

What are the possible rational roots of f(x) = x⁴ -7x + 8?

Select one:

a. {8}

b. {+-1, +-2, +-7, +-8}

c. {+-1, +-2,+-8}

d. {+-1, +-8}

e. {+-1, +-2, +-4, +-8}

Question 19

The half-life of carbon 14 is 5,730 years. Approximately, how old is a bone that has 70% of its original carbon 14?

Select one:

a. 7,500 years

b. 7,000 years

c. 6,500 years

d. 6,000 years

e. Less than 6,000 years

Question 20

If f(x) = 3x +2 and g(x) = x -4, (f/g)(4) is:

Select one:

a. Undefined

b. 0

c. 14

d. (3, 2, 4)

e. None of these