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OlgaM077 [116]
3 years ago
7

Prove the divisbility of the following numbers.

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

Answer:

3^16

Step-by-step explanation:

12^8 * 9^12

Rewrite 12 as 3*4  and 9 as 3*3

(3*4)^8  * (3*3)^12

We know that (ab)^c = a^c * b^c

3^8  4^8  3^12  3^12

We can write 4 as 2^2

3^8  2^2^8  3^12  3^12

We know a^b^c = a^(b*c)

3^8  2^(2*8)  3^12  3^12

3^8  2^(16)  3^12  3^12

We also know that a^b *a^c *a^d = a^(b+c+d)

2^(16)   3^8   3^12  3^12

2^(16)  3^(8+12+12)

2^16  3^(32)

But we need 6 ^16 so we will need a 3^16  3^32 = 3^16 * ^16  (16+16=32)

2^16 *3^16 *3^16

Remember a^b*c^b = (ac)^b

(2*3)^16 3^16

6^16  3^16

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Answer:

10 mph

Step-by-step explanation:

speed of boat in still water = x

speed of current = 5

speed of boat with current (downstream) = x + 5

speed of boat against current (upstream) = x - 5

distance downstream = 9

distance upstream = 3

time = t

speed = distance/time

distance = speed × time

downstream:

9 = (x + 5)t

upstream:

3 = (x - 5)t

9 = xt + 5t

3 = xt - 5t

9 = xt + 5t

-3 = -xt + 5t

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6 = 10t

t = 0.6

9 = (x + 5)0.6

15 = x + 5

x = 10

5 0
1 year ago
At a large university, the probability that a student takes calculus and is on the dean's list is 0.042. the probability that th
cestrela7 [59]
As this is probability, we can use the next formulas and tell how is this going to be:
P(A) = student on the dean's list 
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<span>P(A) = 0.21 </span>
<span>So, P(B) = 0.042/0.21 </span>
<span>= 0.2
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3 years ago
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Answer:

I think its number 4

Step-by-step explanation:

but im not sure

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