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kotegsom [21]
2 years ago
5

Evaluate each expression

Mathematics
1 answer:
Leto [7]2 years ago
6 0

Answer:

what expressions?

Step-by-step explanation:


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Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.
torisob [31]
Fermat's little theorem states that
a^p≡a mod p

If we divide both sides by a, then
a^{p-1}≡1 mod p
=>
a^{17-1}≡1 mod 17
a^{16}≡1 mod 17

Rewrite
a^{1000000} mod 17  as
=(a^{16})^{62500} mod 17
and apply Fermat's little theorem
=(1)^{62500} mod 17
=>
=(1) mod 17

So we conclude that
a^{1000000}≡1 mod 17

6 0
3 years ago
WORTH 25 POINTS!
Nina [5.8K]

The equation we can use is

3 + 1/4c = 9

To find the total number of pieces, we would just solve the equation.

3 + 1/4c = 9

3 - 3 +1/4c = 9 - 3

1/4c = 6

inverse of division is multiputcation

4/1 *1/4c = 6*4

c = 24

There were 24 pieces of cake in total.

6 0
2 years ago
Read 2 more answers
A ship traveling east at 45 mph is 15 mi from a harbor when another ship leaves the harbor traveling east at 60 mph. How long do
Harman [31]

Answer:

  1 hour

Step-by-step explanation:

I find these easiest to work by considering the initial difference in distance and the speed at with that gap is closing.

__

The gap is 15 miles, the distance the first ship is from harbor when the second ship starts.

The rate of closure is the difference in the speeds of the two ships:

  60 mph -45 mph = 15 mph

Then the closure time is ...

  time = distance/speed

  time = (15 mi)/(15 mi/h) = 1 h

It will take the second ship 1 hour to catch up to the first ship.

7 0
2 years ago
Please help me I am struggling
Oxana [17]

Answer:

it's 48

Step-by-step explanation:

Because 8x3=24 and you multiply 6×8=48

3 0
2 years ago
Read 2 more answers
A 10 ounce container if milk contains 200 calories. how many calories does each ounce of milk contain?
kaheart [24]
The answer that is correct is 20 so there you go
5 0
3 years ago
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