Use the formula to evaluate the infinite series. round to the nearest hundredth if necessary.

3/4

Step-by-step explanation:

a1 = (-1/3)^0 = 1

r = -1/3

Hence S = 1/(1+1/3) = 1/(4/3) = 3/4

0.75.

Step-by-step explanation:

The common ratio = -1/3 and the first term = (-1/3)^0 = 1.

Sum to infinity =  1 / (1 - (-1/3))

= 1 / 4/3

= 3/4

= 0.75.

35-60 students are taking math.

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