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3 years ago

Find the reminder of the division (8^33):6

Mathematics

1 answer:

Arturiano [62]3 years ago

5 0

Answer:

The remainder is 2.

Step-by-step explanation:

Use modular arithmetic.

If the remainder is x then 8^33 mod 6 = x.

8^3 = 512 = 2 mod 6

8^6 = (8^3 * 8^3) mod 6 = (2*2) mod 6 = 4 mod 6

8^30 mod 6 = (8^6)^5 mod 6 = 4^5 mod 6 = 1024 mod 6

= 4 mod 6.

Finally 8^33 mod 6 = (8^3 * 8^30) mod 6 = (2 * 4) mod 6

= 8 mod 6 = 2.

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Figure CDEF is a parallelogram.

Salsk061 [2.6K]

We see that CF and DE are parallel to each other, which means that they had the same length with each other, so:
6n-1=5n+9
Subtract 5n for both side
6n-1-5n=5n+9-5n
n-1=9
Add 1 for both side
n-1+1=9+1
n=10
CF=
6n-1
=6(10)-1
=60-1
=59
DE=
5n+9
=5(10)+9
=50+9
=59
CD/FE:
4n+2
=4(10)+2
=42
True/False:
n=10 True
n=7 False
CF=59 True
FE=42 True
CD=30 False. As a result, n=10;CF=59; and FE=42 is your final answer. Hope it help!

3 0

3 years ago

Read 2 more answers

Guys help me what is 137x8 multiply with expanded form???????????? Please help!!!!!!!!!!!!!!!!!! 33 points for the person who he

Helen [10]

Answer:

maybe 20

Step-by-step explanation:

or find it out yourself

4 0

3 years ago

A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue b

Mama L [17]

(a) A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue block are 4/7. What is the probability of choosing a blue block?

Answer:

7/11 is the probability of choosing a blue block.

Step-by-step explanation:

We need the probability of choosing a blue block,

Odds:

The odds of an event is the ratio of the probability of an event to the probability of its complement. In other words, it is the ratio of favorable outcomes to unfavorable outcomes.

The odds against choosing a blue block are 4/7 means. In 11 chances, 4 events will happen in which blue block will not be chosen and 7 events will happen in which blue blocks will be chosen.

So, the probability of not choosing the blue block is 4/11.

Probability of choosing blue block: complement of 4/11 which is equal to 7/11.

(b) Amanda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.

Answer:

The odds in favor of her character unlocking the treasure chest are 13/7.

Step-by-step explanation:

The probability of Amanda's character unlocking the treasure chest is 13/20.

It means, in 20 total chances, 13 times an event will happen where Amanda's character unlocks the treasure chest while the rest 7 times, her character would not open treasure chest.

Favorable events: 13

Unfavorable events: 7

Hence, the odds in favor of her character unlocking the treasure chest are 13/7.

7 0

3 years ago

4/7 of the birthday cake was eaten on your birthday. the next day your dad ate 1/2 of what was left. you get to finish the cake,

luda_lava [24]

During the birthday 4/7 of the cake was eaten so it remained 1-4/7=3/7
the next day 1/2 of 3/7 was eaten what remained is 3/7 divide by 1/2
to divide we invert the second fraction (1/2) and multiply 3/7
3/7 x 2/1=6/7

6 0

4 years ago

Solve for x.<br> -2.3(x - 1.2) = -9.66

Elena-2011 [213]

<span>Reorder the terms: -2.3(-1.2 + x) = -9.66 (-1.2 * -2.3 + x * -2.3) = -9.66 (2.76 + -2.3x) = -9.66 Solving 2.76 + -2.3x = -9.66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.76' to each side of the equation. 2.76 + -2.76 + -2.3x = -9.66 + -2.76 Combine like terms: 2.76 + -2.76 = 0.00 0.00 + -2.3x = -9.66 + -2.76 -2.3x = -9.66 + -2.76 Combine like terms: -9.66 + -2.76 = -12.42 -2.3x = -12.42 Divide each side by '-2.3'. x = 5.4 Simplifying x = 5.4</span>

3 0

3 years ago