The circle graph below shows the number of hours a college student spends studying each subject. which subject gets 30% of the students study time?

Given:

The given circle graph shows the number of hours a college student spends studying each subject.

To find:

Which subject gets 30% of the students study time?

Solution:

From the given circle graph, we get study time of following subjects:

Art = 10 hr

P.E. = 6 hr

History = 13 hr

English = 5 hr

Math = 9 hr

Total study time is:

30% of 43 hr is:

It means 30% of 43 hr is about 13 hr.

Since study time of History is 13 hr, therefore History gets 30% of the students study time.

Hence, the correct option is C.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752