10 POINTS. 1/7 written as a decimal is 0.142857 (this sequence repeats). What digit occurs in the 2012th spot after the decimal? Please explain.

Answers

Answer 1

Answer: 1/7 = 0.142857142857142857142857142857142857142857142857142857 and so on

the pattern repeats

the first digit is 1
second digit is 4
third digit is 2
fourth digit is 8
fifth digit is 5
sixth digit is 7

and then the seventh digit is 1, and it repeats

so the six digits repeat again and again...

2012/6 = 335 2/6

It has a remainder of 2, which means that the 12th digit will be 4. because that is the second digit. After going 335 times the 6 digit patterns it will stop at the second digit which is 4.

Your answer is 4.

I hope you understood, it was kind of hard to explain :P

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PLEASE PLEASE HELP ME IM ALMOST DONE WITH IT DONT BE SHY IM DYING

Answers

0.79 is the probability answer. Please vote my answer brainliest! Thanks.

Answer:

Umm what did you say anyway. I did not understand.

WRITE EQUATION OF THE LINE PASSING THROUGH THE POINTS (5,4) AND (-6.3) Y=

Answers

First you have to find the slope of the line.
(y2 -y1) / (x2 - x1) = slope
so (3 - 4) / ( -6 - 5) = -1/ -11 so the slope of the line is 1/11

Now you write y = mx + b then substitute in one of the points with x and y
4 = (1/11)(5) + b
4 = 5/11 + b
-5/11= - 5/11 change the 4 into 44/ 11 and subtract
44 / 11 - 5/11= b
39/11 = b now it depends on your teacher and text
usually, you can substitute the fraction for your b
y = mx + b
y = 1/11 x + 39/11 so this is your answer

Does that make sense or did I make a mathematical error?

( x - 5) / ( -6 - 5) = (y - 4)/( 3 - 4) <=> (x-5)/(-11) = (y-4)/(-1) <=> x - 5 = 11y - 44 <=>
x - 11y + 39 = 0;

Which equation will have the same solution as 3(2x-1)+4x=13?

Answers

6x - 3 + 4x = 13

10x - 3 = 13

10x = 16

x = 1.6

Any equation whose solution is x=1.6 has the same solution as this one has.
Sadly, you didn't share the list of choices, so it's not possible to point you toward
the correct one.

$3(2x-1)+4x=13\n\n6x-3+4x=13\n\n10x=13+3\n\n10x=16\ \ /:10\n\nx=(16)/(10)\n\nx=1.6$

49 increased by twice a number m

Answers

49+2x
Increase means “go up” which is another way to say addition
Twice means “two times” or “doubled”
A number would be a variable since it’s unknown

Hopefully this helps...

Answer:

49+2m

Step-by-step explanation:

49 is increased by twice a number m

Hope this helps!

There are three consecutive numbers such that twice the first is 20 more than the second.find the numbers? Show your solution.

Answers

consecutive numbers are 1 away from each other
numbers are
x,x+1,x+2

so
2 times first is 20 more than 2nd
2x=20+x+1
2x=21+x
x=21

numbers are
21,21+1,21+2
21,22,23

Whats the answer to 45=x(14-x)

Answers

$45=x(14-x)\n \n45=14x-x^2\n \nx^2-14x+45=0\n \n\Delta = b^(2)-4ac = (-14)^(2)-4*1* 45=196-180=16 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(14- √(16))/(2)=(14-4)/(2)= (12)/(2)=6\n \nx_(2)=(-b+√(\Delta ))/(2a) =(14+√(16))/(2)=(14+4)/(2)= (18)/(2)=9$

$45=x(14-x)\n\n45=x\cdot14-x\cdot x\n\n45=14x-x^2\n\n-x^2+14x-45=0\n\na=-1;\ b=14;\ c=-45\n\n\Delta=b^2-4ac;\ \Delta=14^2-4\cdot(-1)\cdot(-45)=196-180=16\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\nx_1=(-14-√(16))/(2\cdot(-1))=(-14-4)/(-2)=(-18)/(-2)=9\n\nx_2=(-14+√(16))/(2\cdot(-1))=(-14+4)/(-2)=(-10)/(-2)=5$

$Answer:x=9\ or\ x=5.$

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