Supposing that the actual pool is (a)m long and (b)m wide, then the total property will be (a+6)m long and (b+4)m wide.The next step is to find a relationship between a and b.ab = 150Therefore a = 150/bTherefore, total property area will be:(150/b + 6)(b+4)= 150 + 600/b + 6b + 24= 6b + 600/b + 174= 6b + 600b-1 + 174Taking the derivative and setting it to zero:0 = (6b + 600b-1 + 174)'= 6 + -1*600*b-2= 6 - 600/b2Therefore:6 = 600/b21 = 100/b2b2 = 100b = 10a = 150/10= 15To check whether we have the minimum for area, take the second derivative:(6 - 600/b2)' = (6 - 600b-2)'= 0 - -2*600b-3= 1200b-3= 1200/b3If b is positive, the second derivative will also be positive, so we do have a minimum.Therefore total area of the property:(a+6)m * (b+4)m = (15+6)m * (10+4)m= 21m * 14m= 294m2
The antilog? a log is an exponent, so as an antilog just means you reapply that exponent to the correct base. Log implies base 10, so antilog means use that number as an exponent of 10. If you are using log tables, first separate the whole number part and the decimal part of the log ( they are both negative) then add -1 to the whole number part and +1 to the decimal part. (one is called the characteristic and the other is called the mantissa, but I don't remember which is which now) This creates a positive decimal that you can look up in the log table. The negative integer part becomes an exponent of 10. Put them together and you get an answer in scientific notation. Ex: find antilog of -3.5 (-3 -1) + (-.5 + 1) ==> (-4) + (+.5) look up .5 in the log tables and you get 3.1623 and the -4 becomes 10-4 Put them together by multiplying (adding logs means multiplication of antilogs) to get the final answer 3.1623 x 10-4
Your notation is hard to read. Did you mean 3x+2x-1+2x-4x+2=5? You have a lot of weird spaces that make your x's look like multiplication or something. The first step is to get variables on one side of the equation and numbers on the other. Add 1 and subtract 2 from 5, giving 3x+2x+2x-4x=4 Now, simply do the math on the variables. 3x+2x+2x-4x giving you 7x-4x which equals 3x, so that means 3x=4(from our earlier work) divide both sides by 3, 3x/3=4/3 gives us x=4/3 or x=1 1/3 or x=1.3333333 however you like.
4 x 4 x 4 x 4 x 4 = 45
Any fraction can be written in many different ways.For example, 1/2 of a cake is the same amount of cake as 4/8ths, or 8/16ths. 3/4 of 100 dollars is the same as 75/100ths of 100 dollars.We say that 1/2, and 4/8 and 8/16 are equivalent fractions. 3/4 and 75/100 are equivalent too.If you take any fraction and multiply both the top number and the bottom number by the same amount, the fraction means the same as before. It doesn't matter what that amount is, as long as it's the same.This also means that you can divide the top and bottom numbers by the same amount too. 12/18 = 6/9. We divided the top and bottom numbers by 2. But we can divide by 3 as well. 6/9 = 2/3. This is the simplest form we can write the fraction in.So to turn a fraction into its simplest form, you go on dividing the top and bottom numbers by whatever whole number you can until you can't divide any more.90/150 = 9/15 (dividing by 10)9/15 = 3/5 (dividing by 3)So 90/150 in its simplest form is 3/5
4,000,000 in Scientific Notation = 4 x 106
675 000 000 in scientific notation is 6.75*108
.0009234 in Scientific Notation = 9.234 x 10-4
4.05*1012
If you mean 70,000 then it is 7.0*10^4 in scientific notation
9.234 x 10-4
1.6 x 10^4
1.4 x 10^4
5.6 x 10^4
2.2 x 10^4 Mg
4 in Scientific Notation = 4 x 100
The scientific notation for 0.0006903 is 6.903 × 10^-4.