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Assoli18 [71]
3 years ago
12

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

Mathematics
1 answer:
pashok25 [27]3 years ago
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


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A house has increased in value by 28% since it was purchase. if the current value is $416,000, what was the value when it what w
EleoNora [17]

Answer: 300,000

Step-by-step explanation:

6 0
2 years ago
Bryan cuts a piece of cardboard in the shape of a trapezoid.the area of the cutout is 43.5 square centimeters.if the bases are 6
Nimfa-mama [501]
<span>trapezoid area = ((sum of the bases) ÷ 2) • height
height = </span>trapezoid area / ((sum of the bases) ÷ 2)
height = 43.5 / ((6 + 8.5) / 2)
height = 43.5 / ((14.5) / 2)
height = 43.5 / (7.5)
height = 6 centimeters

Source:
http://www.1728.org/quadtrap.htm


4 0
3 years ago
Q # # 12 find the volume of the cylinder to the nearest cubic foot Use a calculator
Ronch [10]
The diagram in the question is a cylinder.
;The volume of a cylinder is given by;

Volume = πr²h
;Where π=3.14
             r⇒radius of the base of the cylinder and
             h ⇒ height of the cylinder.

∴Volume = 3.14×5²×3
               =235.5 ft³

To the nearest cubic = 236 ft³

4 0
3 years ago
Read 2 more answers
Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown. Mike: 16
-BARSIC- [3]

Answer:

The correct option is;

Mike's measurement are more precise and more accurate

Step-by-step explanation:

The given information are;

The mass of the measured bottle = 16-ounce

The record of the measurements made by Mike are;

16.4 oz

15.2 oz

15.8 oz

The record of the measurements made by Teegan are;

16.34 oz

16.59 oz

15.13 oz

From the two measurements, we have;

The precision of a measurement depends on how close the values of the measurement are to one another, therefore, we have;

For Mike, the precision is given as follows

16.4 - 15.2 = 1.2

16.4 - 15.8 = 0.6

15.8 - 15.2 = 0.6

Total difference = 1.2 + 0.6 + 0.6 = 2.4

For Teegan , the precision is given as follows

16.59 - 16.34 = 0.25

16.59 - 15.13 = 1.46

16.34 - 15.13 = 1.21

Total difference = 0.25 + 1.46 + 1.21 = 2.92

Therefore, Mike's measurements are more precise than Teegan's measurements

The accuracy of the measurement is the amount of closeness the measurements are to a given value

In the question, the given value is 16-ounces of the volume of the bottle

Therefore, by the mean absolute deviation from the 16-ounce of the bottle, we have;

For Mike;

Mean \ absolute  \ deviation = \dfrac{\left | 16.4 - 16 \right | + \left | 15.2 - 16 \right | + \left | 15.8 - 16 \right | }{3} = 0.533

For Teegan, we have;

Mean \ absolute  \ deviation = \dfrac{\left | 16.34 - 16 \right | + \left | 16.59 - 16 \right | + \left | 15.13 - 16 \right | }{3} = 0.6

Therefore, Mike's measurement is more accurate than Teegan's measurement.

Which gives;

Mike's measurement are more precise and more accurate.

9 0
3 years ago
The 6 in 65 represents how many times the value of the 6 in 16?
natulia [17]

Answer:

10 times

Step-by-step explanation:

the 6 in 65 equals 60

7 0
3 years ago
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