What is the name of the shape graphed by the function theta= 5pi/3
(a) limacon with inner loop
(b) spiral
(c)circle
(d) line

Option d) line

Step-by-step explanation:

Given that a function is graphed.

The function is

Since r is not given we can take r as any measure from 0 to infinity.

Since angle is constant the slope is constant for this funciton which implies the graph has to be a straight line.

Of all the given options, only a straight line has the option of having constant slope throughout its domain.

Hence option d is right.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150