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look for +/- key 

9 (sqrt(3)/2-i/2)=7.79422 -  4.5i
 

You cannot add money to days.

The answer is "A".

 (2.981 x 10^20) / (3.25 x 10^3)

= 2.981/3.25      *     10^(20-3)

= 0.91723 *10^17

=9.1723 * 10^-1    * 10^17

=9.1723  * 10^16

z = -12-12(sqrt(3i))

Algebraic form:
z = -26.6969385-14.6969385i

Exponential form:
z = 30.4750147 × ei (-151°10')

Trigonometric form:
z = 30.4750147 × (cos (-151°10') + i sin (-151°10'))

Polar form:
r = |z| = 30.47501
φ = arg z = -151.16677° = -151°10' = -0.83982π

If they are all standing on the same side then tie up the 2 that must be together.

Now there are 11 'people.'

The answer is 11!*2      (2 becase the 2 can be tied up with either one first.

z = -11+11i

Algebraic form:
z = -11+11i

Exponential form:
z = 15.5563492 × ei 135°

Trigonometric form:
z = 15.5563492 × (cos 135° + i sin 135°)

Polar form:
r = |z| = 15.55635
φ = arg z = 135° = 0.75π

Use a calculator

z = (3 + i)^(1/2)

Algebraic form:
z = 1.7553173+0.2848488i

Exponential form:
z = 1.7782794 × ei 9°13'3″

Trigonometric form:
z = 1.7782794 × (cos 9°13'3″ + i sin 9°13'3″)

Polar form:
r = |z| = 1.77828
φ = arg z = 9.21747° = 9°13'3″ = 0.05121π

Hi  Max,

So how did you do it?

I see lots of irrelevant questions and they do not activate the flag ://

1/2(x+1)+1/3(x+4)=1/6(x-1)

This is the question you have asked

\(\frac{(x+1)}{2}+\frac{(x+4)}{3}=\frac{(x-1)}{6}\)

The easiest way to solve it is to multiply both sides by the smallest common denominator, which is 6.

That will get rid of all the fractions for you.

Give it a go and if you want more help post what you have done.

Calculate the area of the square cloth first. Then calculate the area of the circle. Subtract the area of the circle from the area of the square, which is the area that ramains.

.How many ways can 11 Redcoat basketball players and Coach Woodburn (12 people) be arranged along the sidelines if Travis and Pat must stand together?

More info needed.

0ne sideline or two side lines.  Do equal numbers of people need to be on each sideline? Maybe there are other considerations too but I haven't thought of them yet.

Good Morning Guest!

Which is the quotient of (2.981 x 1020) / (3.25 x 103) in scientific notation?

\(= \frac{2.981 \times 1.020E3}{3.25\times 0.103E3} \) 

\(= \frac{2.981 \times 1.020}{3.25\times 0.103}\) 

\(= 9.08325616131\) 

Was that what you meant?

Greeting asinus :- )

   !

Also, I goofed on my scientific notation.   It should be approximately

9.999... * 10^1076

Oops!  I was too lazy to look at the Guest's answer carefully.

He has 516 "9's" followed by an "8", followed by 516 "0's", followed by a "1"  -- and that ain't right!

It SHOULD be 426 "9's", followed by an "8", followed by 223 "9's", followed by 426 "0's", followed by a "1".

It should be

99999999999999999999999999999999999999999999999999999999999999999999999999999999999

99999999999999999999999999999999999999999999999999999999999999999999999999999999999

99999999999999999999999999999999999999999999999999999999999999999999999999999999999

99999999999999999999999999999999999999999999999999999999999999999999999999999999999

99999999999999999999999999999999999999999999999999999999999999999999999999999999999

99999999999899999999999999999999999999999999999999999999999999999999999999999999999

99999999999999999999999999999999999999999999999999999999999999999999999999999999999

99999999999999999999999999999999999999999999999999999999999999999999900000000000000

00000000000000000000000000000000000000000000000000000000000000000000000000000000000

00000000000000000000000000000000000000000000000000000000000000000000000000000000000

00000000000000000000000000000000000000000000000000000000000000000000000000000000000

00000000000000000000000000000000000000000000000000000000000000000000000000000000000

000000000000000000000000000000000000000000000000000000000000000000000000000000001

(3^2*2^3)*3^-3+(3/3^3)

[(9*8) * 1/27] + [3/27] =

[72/27] + [3/27] =

75/27 = divide both sides by 3

25/9 =2 7/9

By the way, I think the Guest above mis-typed.  In scientific notation the answer is approximately 9.999. . . x 10^1078

That's like asking the square root of a million. No one will ever know.  (Nelson Muntz / The Simpsons).

Just kidding -- the Guest above beat me to it and gave the right answer. 

No kidding, that is the real answer.  Notice the one "8" in the group of "9's".

Turns out that when you multiply one group of nines by another group of nines, it follows a pattern.  All you have to do is count the 9's in each group.

Let i = the smaller number of nines, and let j = the larger number of nines.  Then the anwer will be as follows:

Write down (i - 1) "9's", followed by a single "8"

write down (j-i) "9's"

Write down (i - 1) "0's", followed by a single "1"

. . . and that's the answer!  Try it! 

For example, 3 "9's" multiplied by 7 "9's" [999 x 9999999 = ?].  In this case, i = 3 and j = 7.  The answer is (i - 1 = 2) "9's", followed by a single "8", followed by (j - i = 4) "9's", followed by (i - 1 = 2) "0's", followed by a single "1".  That is, the answer is 9989999001.

In your case, you had 427 "9's" (the 2nd group) multiplied by 650 "9's" (the 1st group).  It gives the answer above .  . . . exactly!

Kind of interesting really.  The kind of thing the "speed math" people love.  You can impress people by multiplying huge groups of "9's" in your head, just by following the simple rules above.  It's impressive when you rattle off the digits quickly and people don't realize the pattern.  

I'm sure that our venerable moderator could have given you the same answer -- he was just not in the mood to sort it out for us. 

Well this one is really quick its D. You can test this by plugging it in. 0=12-12. This i hope you are able to work out on your own as 0=0 which is true thus proving that D is a point on that line.

-G

Well firstly we need to find the distance between these two. This is the radius. This turns out to be 12u because there is 12 x wise between them. Now that this is is established finding the area and circumfrence are pieces ok cake. The formula for area is \(Pi R^2 \)And the formula for Circuference is 2PiR. So the answers when you plug in the radius are:

Area= 144Pi \(u^2\)(Units squared)

Circumference: 24Pi u

Hope this helps.

-G

(2.981 x 10^20) / (3.25 x 10^3)=9.172  x  10^16

Good evening Guest!

determine whether u and v are orthogonal, parallel or neither.

u= (4,7) 

v= (-28,8)

The slope of the function through the points u and v is

 \(m = \frac{y(u)-x(u)}{y(v)-x(v)} = \frac{7-4}{8+28} = \frac{1}{12} \) 

The connection line u - v is not perpendicular or parallel to the abscissa axis of the Cartesian coordinate system.
The slope to the abscissa is

\(m = \frac{1}{12} \)

I hope I have understood your question correctly.

Greeting asinus :- )

   !

Found it! = 76.28911407

at http://www.rapidtables.com/calc/math/Cos_Calculator.htm