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Aleksandr-060686 [28]
3 years ago
11

One week, you tell two of your friends a secret. The next week, each of them tell two people the secret, and the next week, each

of those people tell two more people. So the first week, two new people know the secret; the second week, four new people know the secret; the third week, eight new people know the secret, etc. How many people find out the secret on the sixth week?
A. 32
B. 64
C. 128
D. 256
Mathematics
2 answers:
ozzi3 years ago
5 0

Answer:

B. 64

Step-by-step explanation:

The trick here is to recognize that the number of <u>new</u> people who learn this information each week is in powers of 2.

Week 0: 2^0 = 1

Week 1: 2^1 = 2

Week 2: 2^2 = 4 (2*2)

Week 3: 2^3 = 8 (2*2*2)

So following this pattern, we can just plug in 6 for week 6 and see what our answer is:

Week 6: 2^6 = 64 (2*2*2*2*2*2)

* A quick note in calculating powers:

calculating 2*2 six times is a lot of work. You know what isn't? 2*2*2 (8). You know what also isn't? 8*8. That's right, 8*8 is also 64! So instead of calculating 2*2*2*2*2*2, you can just calculate 2^3*2^3, or 8*8. :)

dusya [7]3 years ago
5 0

Answer:

B. 64 people.

Step-by-step explanation:

Each week the number who know the secret doubles so in the 4th week 8*2 = 16 ( = 2^4) new people know.

The number who find it out in the 6th week  is 2^6 = 64 people.

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3 years ago
I have no clue how to do this!!!
lara31 [8.8K]
Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180      combine like terms on the left.
z + 137 = 180            subtract 137 from both sides
z =  180 - 137        
z = 43 degrees.

Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35 

sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32 

Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
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