The last digit is zero.
Subtract 5 times the last digit from remaining truncated number. Repeat the step as necessary. If the result is divisible by 17, the original number is also divisible by 17
For a number to be divisible by 105 it must be divisible by 3, by 5 and by 7. So, divisibility by 3 requires all three of the following to be satisfied:Sum the digits together. Repeat if necessary. If the answer is 0, 3, 6 or 9 the original number is divisible by 3.If the final digit of the number is 0 or 5, the original number is divisible by 5.Take the number formed by all but the last digit. From it subtract double the last digit. Keep going until there is only one digit left. If it is 0 or 7 then the original number is divisible by 7.
Subtract 8 times the last digit from remaining truncated number. Repeat the step as necessary. If the absolute of result is divisible by 27, the original number is also divisible by 27 Check for 945: 94-(8*5)=54; 5-(8*4)=-27 Since 27 is divisible by 27, the original no. 945 is also divisible. Check for 264681: 26468-(8*1)=26460; 2646-(8*8)=2582; 264-(8*6)=216 21-(8*6)=-27 Since 27 is divisible by 27, the original no. 264681 is also divisible. Check for 81: 8-(8*1)=0; Since 0 is divisible by 27, the original no. 81 is also divisible.
25/100 as a decimal is 0.25. In order to simplify this, look at the fraction 25/100. Since the denominator is a number divisible by 10, no conversion will be necessary and you can simply answer "0.25".
Évariste Galois (October 25, 1811 -- May 31, 1832) was a French mathematician born in Bourg-la-Reine. While still in his teens, he was able to determine a necessary and sufficient condition for a polynomial to be solvable by radicals, thereby solving a long-standing problem. His work laid the foundations for Galois theory, a major branch of abstract algebra, and the subfield of Galois connections. He was the first to use the word "group" as a technical term in mathematics to represent a group of permutations.
Sweet dreams are made of cheese.
No. That condition is necessary but not sufficient.No. That condition is necessary but not sufficient.No. That condition is necessary but not sufficient.No. That condition is necessary but not sufficient.
If and only if (necessary and sufficient condition).
A necessary cause is a condition that, by and large, must be present for the effect to follow. A sufficient cause, in contrast, is a condition that more or less guarantees the effect in question.
A.b.c=0
That it can be expressed as a ratio (hence rational) of two integers, the denominator being positive.In decimal representation, it is a necessary and sufficient condition that the number can be expressed as either a terminating decimal or one that becomes a recurring decimal after a finite number of digits.
Marginal Revenue = Marginal Cost
what a sufficent condition that shows a equation does not represent a linear function
Necessary But Not Sufficient - novel - was created in 2000.
Yes. The sum of opposite angles is 180 degrees and that is a necessary and sufficient condition for a quadrilateral to be cyclic.
Posted by ILias1. The problem statement, all variables and given/known dataconsider two conditions x2-3x-10 < 0 and |x-2| < A on a real number x, where A is positive real number(i) find the range of values of A such that |x-2| < A is a necessary condition for x2-3x-10 < 0(ii) find the range of values of A such that |x-2| < A is a sufficient condition for x2-3x-10 < 02. Relevant equations3. The attempt at a solutionwhat is necessary and sufficient condition? I tried googling but found nothing about it...thanksWell, the first step is to solve the equality x2-3x-10= 0. You will get two solutions. Then you will have to think about what makes the inequality true. The necessary condition is the one that is required to make the statement true: "For hot dogs to taste good, they must have mustard". The sufficient condition is the one that says if the condition is met, the statement is true, "As long as hot dogs have mustard, hot dogs are good." The necessary and sufficient condition that if that condition is met, by necessity, the statement is true "only hot dogs that have mustard are good (necessity) and if they have mustard they need nothing else to be good (sufficiency)".
1. Minimization of Cost for a Given Level of Output: Least Cost Conditions