Week 1 : 1 customer tells 3 friends
Week 2: 3 new customers tell 9 friends
Week 3: 9 new customers tell 27 friends
If w represents number of weeks, then (C) represents the model appropriately. Let's see how:
Putting w = 1 , 2 and 3 in each of the options
(A) 3w: 3 for week 1, 6 for week 2, 9 for week 3 ⇒ INCORRECT
(B) w^3: 1 for week 1, 8 for week 2, 27 for week 3 ⇒ INCORRECT
(C) 3^w: 3 for week 1, 9 for week 2, 27 for week 3 ⇒ CORRECT
(D) 3w^3: 3 for week 1, 24 for week 2, 81 for week 3 ⇒ INCORRECT
Hence, the answer is (C)
Answer:C
Step-by-step explanation:
We must first make each fraction have a common denominator, this will be 12
2/3 * 4/4 = 8/12
3/4 * 3/3 = 9/12
4/2 * 6/6 = 24/12
we can then add the numerators of each fraction
8 + 9 + 24 = 41
so our answer is 41/12
we can not simplify any further and thus get
41/12
1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is 
, so the measure of arc DF is
The inscribed angle theorem tells us that the central angle subtended by arc DF, 
, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so
so the measure of arc DF is also 64 degrees. So we have
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2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,
Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that
Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have
