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Solving it as an equality provides bounds on its validity.

For example:

y^2 - 4 < 0

Solve Y^2 - 4 = 0 to get Y = 2 and Y = -2

Then -2 < y < 2

Similarly, if y^2 - 4 > 0 then y < -2 and y > 2

grow up.

But the answer in my book says x1=  200.5+n*360, x2=339,5 + n*360, and arcsin(-0,35) is ~-20,5, and not 200,5 

Use arcsin(-0.35)

On the calculator on the home page here, first press the 2nd key, then the asin key ( asin is arcsin).

Remember that angles that produce negative values for sine occur in the third and fourth quadrants (I.e. Between 180 and 360 degrees).

Use:  deltaL = L*F/(A*Y)

L is length, F is force, A is cross-sectional area, Y is Young's modulus.

Also use:  F = m*a

m is mass, a is acceleration.

Make sure the units are consistent (e.g. Area in m^2 if length in metres).

Craft One reaches zero velocity when?

v=vo + at  = 525 + (-15.5)t = 0  Solve for t = 33.87 sec

How far did it travel in 33.87 secs?

x = xo + vo t + 1/2a t^2

x= 0 + 525(33.87) + 1/2(-15.5)(33.87)^2 = 8891.13 meters

Craft 2 has to cover  13500 meters - 8891.13 meters = 4608.87 meters i the same amount of time (33.87 seconds)

 FOR CRAFT 2 :

x = xo + vo t + 1/2 a t^2   and

v = vo + a t = 0   or   a t = -vo      substitute into the equation above

4608.87 = 0 + vo (33.87)  + 1/2 (-vo)(33.87)      results in vo = 272.15 m/s

then   vf = vo + a t      = 272.15 + a (33.87) = 0      a= -8.04 m/s^2

Calculate the distance from each endpoint to the midpoint....if these are equal, the midpoint is correct.......

Using the point-slpoe form , we have :

y - 1  =  (-1/3 ) ( x - (-4) )   simplify

y - 1  = ( -1/3 ) (x + 4)

y -1  \ (-1/3)x - 4/3     add 1 to both sides

y = (-1/3)x - 1/3

I should have had the 45 and 40 the other way round.  I.e the numerator should be 45 - -40.  

14381/10,000,000,000,000,000

For Melody:

pi radians = 180 degrees    (or 2pi radians in 360 degrees)

160/180 x pi = 8/9 pi radians  = 2.7925 R

acceleration = change in velocity/time taken

acceleration = (40 - -45)/0.0005 m/s^2

                    = 85/0.0005 m/s^2

                    = 170000 m/s^2

2/1(4.5)-23=-14

(a) kilometers.........2200 m  = 2.2 km     so the total displacement in  km  =  3.1  - (-2.2)  =  3.1 + 2.2  =  5.3 km

(b)   meters........3.1 km  = 3100 meters      so the total displacement  = 3100 - (-2200)    =   5300 m

I think you might mean this :

[13 + 1/5 ]  -  [ 6 +11/20 ]

Note that 13 + 1/5 =    66/5    and     6 + 11/20  =  131/20     ......   get a common denominator of 20

264 / 20  -  131/20   =

133 / 20   = 

6 + 13/20

Simplify the following:
13/5-6×11/20

-6×11  =  -66:
13/5+-66/20

The gcd of -66 and 20 is 2, so (-66)/20 = (2 (-33))/(2×10) = 2/2×(-33)/10 = (-33)/10:
13/5+(-33)/10

Put 13/5-(33)/10 over the common denominator 10. 13/5-(33)/10  =  (2×13)/10-(33)/10:
(2×13)/10-(33)/10

2×13  =  26:
26/10-(33)/10

26/10-33/10  =  (26-33)/10:
(26-33)/10

26-33  =  -(33-26):
-(33-26)/10

 
Answer: |  (-7)/10

3.00376418084606182052986098359166050056 x 10^22,338,617

This is the largest known Mersenne prime number known to date. It consists of over 22 million digits.

If you were to print it on a long piece of paper, with very small print, your paper would have to stretch more than 22 kilometers or 14 miles long.

tan-1(200:750)=

inverse tan is the same as arc tan 

so

make sure the calc is set to degrees or radians as required (buttons on bottom left) then

enter it as 

atan(200/750)=

e.g. $840.55 used for 4200 sheets of board.

what is the cost of the board per 1000?

840.55/4200*1000 = 200.130952380952381

= $200.13 per 1000 sheets

7/8-1/4 is 5/8 or 0.625

\(\frac{7}{8}-\frac{1}{4}\\ \mbox{The denominators must be the same}\\ =\frac{7}{8}-\frac{1*2}{4*2}\\ =\frac{7}{8}-\frac{2}{8}\\ =\frac{7-2}{8}\\ =\frac{5}{8}\\ \)

366 / 12 = 30.5

Maths is a way to count originally, but for convenience, the counting evolves into addition and subtraction just because people wants to calculate faster, and the multiplication and division appears to make calculations even faster. Then people start to think about geometry, complex numbers, and exponentiations and logarithms, and finally calculus. So maths became like this nowadays.....

People who invent maths just wants to count. #DontBlameThem.

Are you the same guest that asked the same question not long before? :D

matrices do not work that way though......

Maths is a way to count originally, but for convenience, the counting evolves into addition and subtraction just because people wants to calculate faster, and the multiplication and division appears to make calculations even faster. Then people start to think about geometry, complex numbers, and exponentiations and logarithms, and finally calculus. So maths became like this nowadays.....

People who invent maths just wants to count. #DontBlameThem.

it's not a real one.

First \(-1^2 = -1\) and it's not 1

Second, if you mean (-1)² then it's all good, but the last part. If you solve the equation x²=1 ......

Method 1:

\(\color{red}x^2=1\)

\(\color{red}\sqrt{x^2}=\sqrt1\)

\(\color{red}x = \pm 1\)

Method 2:

\(\color{aqua}x^2=1\)

\(\color{aqua} x^2-1=0\)

\(\color{aqua}x = {-0 \pm \sqrt{0^2-4(1)(-1)} \over 2(1)}= \pm 1\)

Either ways show that \(\sqrt 1\) have 2 answers, 1 and -1. But to state clearly which answer do we mean, we use \(\sqrt1\) to denote 1 and \(-\sqrt1\) to denote -1.