All categories

3 years ago

What is the remainder of 10^2017 divided by 1001?

1 answer:

5 0

Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic

10^3 = 1000 == -1 (mod 1001)
10^3 == -1 (mod 1001)
(10^3)^672 == (-1)^672 (mod 1001)
(10^(3*672) == 1 (mod 1001)
10^2016 == 1 (mod 1001)
10*10^2016 == 10*1 (mod 1001)
10^2017 == 10 (mod 1001)

Final Answer: 10

You might be interested in

Need help with this math problem

zheka24 [161]

Answer:

m<1 = 51

m<2 = 61

m<3 = 29

Step-by-step explanation:

three angles of a triangle = 180

so knowing that add 68 + 61 to get 129

now subtract cause the last angle will = 180-129 = 51

for angle two is 61 cause their congruent

now we have one angle = 90 and another 61

add them 90+61= 151

now subtract 180-151 = 29

6 0

3 years ago

1. What is the formula for Pythagorean Theorem

Debora [2.8K]

Answer:

The formula is a^2 + b^2 = c^2

Step-by-step explanation:

A and B are legs and C is the hypothunisis.

The theorem is used for triangles.

4^2 + 5^2 = c^2

16 + 25 = c^2

41 = c^2

sqr(41) = sqr(c)^2

c = 6.403124237

4 0

2 years ago

Combining like terms with negative coefficients

almond37 [142]

-3z - z = -3z - 1z = -4z

6 0

3 years ago

The side lengths of a triangle are 5,√3,√28. Is the triangle a right triangle? How would I solve this?

spayn [35]

Answer:

it is a right triangle.

Step-by-step explanation:

you would solve by using pythagorean theorem. Firstly you would find the square roots. Then write the pythagorean theorem out replacing the variables with the corresponding numbers. All you do for this is find the greatest number and that is c. Lastly you would add the square roots of a and b, if this equals 28 then they are equal. Ask more questions if I did not explain this clearly.

7 0

2 years ago

Write an equation of the line<br> parallel to y = - 3x + 7<br> y-intercept = 0

polet [3.4K]

A parallel line to y = -3x+7 with a y intercept of 0 is

y = -3x + 0, or you could simply write it as y = -3x

3 0

3 years ago