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The sum of the currents out of the junction equals the sum of the currents into the junction.

(Kirchoff's current law)

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3000000=3 x 10^6

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5.2345

5 degrees

$${\mathtt{0.234\: \!5}}{\mathtt{\,\times\,}}{\mathtt{60}} = {\frac{{\mathtt{1\,407}}}{{\mathtt{100}}}} = {\mathtt{14.07}}$$           14 minutes

$${\mathtt{0.07}}{\mathtt{\,\times\,}}{\mathtt{60}} = {\frac{{\mathtt{21}}}{{\mathtt{5}}}} = {\mathtt{4.2}}$$                        4.2 seconds

5.2345degrees = 5degrees 14minutes and 4.2seconds

6D+D=32

7D=32

D=32/7 = 4 and a bit

it seems that you have bits of birds here.

$${\mathtt{46.05}}{\mathtt{\,\times\,}}{\mathtt{12}} = {\frac{{\mathtt{2\,763}}}{{\mathtt{5}}}} = {\mathtt{552.6}}$$

$${\frac{{\mathtt{552.6}}}{{\mathtt{8\,500}}}}{\mathtt{\,\times\,}}{\mathtt{100}} = {\frac{{\mathtt{2\,763}}}{{\mathtt{425}}}} = {\mathtt{6.501\: \!176\: \!470\: \!588\: \!235\: \!3}}$$

6.5%

the answer is b)1/25

Almost anon,

5% would be more than 2 standard deviations AWAY from the mean.

Only 2.5% would be more than 2 standard deviations ABOVE the mean

so the answer is 2.5% of 1000

I looked up what a convex polygon was.

In how many ways can you do what?

Find three consecutive even integers such that the sum of the smallest integer and twice the second is 12 more than the third.

Let x be the first integer, x +2 be the second and x + 4  the third  ....so ....

x + 2(x + 2)  =  (x + 4) + 12  simplify

x + 2x + 4  = x + 16

3x + 4  = x + 16     subtract x, 4  from both sides

2x = 12     divide by 2 on both sides

x = 6  

x + 2  = 8

x + 4 = 10

3y + 6 = 2x    →  3y = 2x - 6  →  y = (2/3)x - 2

2y - 3x = 6    →   2y = 3x + 6 →  y = (3/2)x + 3

So...as Anonymous has said....the slopes are reciprocals, but not negative reciprocals...so this system has a single solution...... the lines intersect, but not at right angles. 

D because when you put the eqation in y=mx+b form they have reciprical slope but they are not also opposite sign (-,+) so the anser is D

Two perpendicular lines have negative reciprocal slopes

So...the slope of the given line = -1/2

And the negative reciprocal of -1/2  = 2

Can you spot the answer ???

Surface area = 2pi*r^2 + 2pi*r*h  =  2pi*r [ r + h]

Volume = pi * r^2 * h

Where r is the radius and h is the height

Surface area is the area of the outside surface of a 3 dimensional shape.

Because you need a camera......a wooden leg won't take pictures.....

{Hey.... it's just a guess}

(5√2)^2 - (2√8)^2 =

25*2  - 4*8  =

50 - 32 =

18

LOL, Anonymous.....!!!

(16,-5) and (-40,16)

We need to find the slope of this line, first...

This is gven by ....    change in y / change in x    =     [16 - (-5)]  / [-40 - 16 ] = 

21 / -56   =  -21/ 56 = -3/8

Now, using the slope-intercept form, we have

y + 5 = (-3/8)(x - 16) 

y + 5 = (-3/8)x + 48/8 

y = (-3/8)x + 6 - 5

y = (-3/8)x + 1

P.S....check this with the second set of points.....I believe you'll find that they work...

Can't really guess from here, the computer adds 30 pounds!

.88 is 88%

To convert a decimal to a percentage multiply by 100.

Just taking a guess at it.

0.1 cm is two standard deviations from the mean. Two standard deviations includes 95% of the samples, therefore 5% of the samples with be expected to be larger than this.

Notice, that from each vertex, 2 diagonals can be drawn, giving us 10 diagonals. But the diagonal drawn from vertex A to vertex D would be the same diagonal drawn fro vertex D to vertex A.

So, we need to divide this by 2  = 5 diagonals.

Here's a pic to demonstrate this.....

BTW....the number of diagonals that can be drawn in any regular polygon is given by....

[n*(n-3)] / 2     .... for n > 3

175.8