I think that birds only TRY to defy gravity.

They do not really succeed or else they would fly into space and leave the earth's gravitational field.

Although,

I suppose they do TRY to resist gravity.....  Maybe you do too when you walk or jump ://    

Nice,  vest4R.....!!!!!

See  graph here   :  https://www.desmos.com/calculator/z2500cohbm

2.4   =   2  4/10   =  2  1/5  =  11/5

Sorry HSC......If you look at the definition of 'defy'    you will see that birds DO defy gravity:

de·fy

dəˈfī/

verb

openly resist or refuse to obey.

"a woman who defies convention"

synonyms:disobey, go against, flout, fly in the face of, disregard, ignore;

LOL

You are not asking much, are you??!!.

I will give you the payments as you asked, but the spreadsheet is your task to construct.

4.35% comp. semi-annually =4.31% comp.monthly    =4.31109416711%

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, =4.31% comp.bi-weekly  =4.30693200082%

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, =4.31% comp. weekly.    =4.30514985512%

Ross's monthly payments =$454.37

Ross's bi-weekly payments=$209.51

Ross's weekly payments =$104.71

e) - Take the weekly comp.rate of: 4.30514985512 / 5200 =0.0008279134. This is the nominal weekly interest rate. Multiply this number by $20,000 which will give you the interest of $16.56. Subtract this interest from the weekly payment of $104.71 and you will get: $88.15, which is principal to be subtracted from the loan of $20,000 - $88.15 =$19,911.85 - which is the balance of the loan after the 1st. payment.

Continue this process on the spreadsheet for each payment. Good luck to you.

You will get    0= 0 

The work done on an object by a net force equals the change in kinetic energy of the object:

1/2mv^2   originally was    (1/2)  1210 (7.33)^2    = 32505.98 j

                 later was           (1/2)  1210 (1.88)^2   =    2138.31  j   

Work = KEf - KEo  = work done = -30367.67 j

Yes, that is definitely true :)

Try askin us what you want us to actually solve for and maybe actually help you understand. lnstead of just throwing your homework you clear were not studying for. Maybe that's your answer, study.

It would be good if another mathematician weighed in on this question.

I am pretty sure my answer is correct but there may be a much easier way to do it    

Hi again arshan,

You don't need to be sorry.

It is good so say so when you do not understand.  

A part of the reason that I didn't explain very well is becasue I am not entirely comfortable with my own logic.

If I do it again maybe I can become more comfortable with it. :)

Here is the problem:

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I can do the equations pretty much like you did.

\(4x+3y+2z\le400 \qquad (1)\\ 3x+2y+z\le280 \qquad (2)\\ \text{Multiply (2) by 2}\\ 6x+4y+2z\le560 \qquad (2b)\\ (2b)-(1)\\ 2x+y\le 160 \)

I haven't used this directly although I guess I could.  (And probably should)

I have gone directly  to using a graph.  But the graph re-confirms this equation.

------------------------------------------------------------------

In the graph below the orange line represents where all the flour is used and

the blue line is there all the sugar is used

Where the blue and orange lines cross is where all the flour and sugar is used.

Because the ratio of the prices is also the ratio of the sugar I do not need another line.

The cross over points of the graphs changes as the quantity of  number of units of product C represeted by z changes.

BUT

The cross over always lies on the line  y=-2x+160

that is    160=y+2x      Which is the equation that was found algebraically.

This is the interactive graph that you do need to look at and play with.  (it is a bit different from the earlier one)

P.S.   a  N-m  IS   a joule    the SI  unit of work.

12 1/2 or 12.5

36 inches

i assume you are solving for x, to solve for x you must get all variable on 1 side of equation and variables on the other and solve so

-2(2x-3)+4=4x+10

Expand:

-4x+6+4=4x+10

I move all variable to the left side and constants to the right

-4x-4x=10-6-4

-8x=0

-8x/-8=0/-8

x=0

After getting your answer, press = key twice. It should automatically convert it to scientific notation.

-89

simultaneous equation, solved by substitution

7x-4y=28

2x-4y= -12

7x-4y=28, equation (1)

2x-4y= -12, equation (2)

isolate y in either one of the equations,

7x-4y=28 (1)

subtract 7x from both sides,

-4y=28-7x

^^ we will call this equation (3)

-substitute equation 3 into equation 2

2x+(28-7x)= -12

simplify

-5x+28= -12

subtract 28 from both sides

-5x = -40

divide both sides by -5

x= 8

subsitute 8 into equation 2

2(8)-4y= -12

16-4y= -12

subtract 16 from both sides,

-4y = -30

divde -4 from both sides

y=7

test on either of the original equations

7(8) - 4(7)=28

56-28=28

therefore,

x=8

y=7

-4x+6+4=4x+10

-4x+10=4x+10

     -10       -10

-4x = 4x

/-4     /-4

x = -x

(I Think) x can also equal negative all real numbers