Is 50 a perfect square ? Explain your answer please

2 answers:

8 0

No it is not. A perfect square is a number that, if you take the square root of, gives you a whole number.
A perfect square would be : 1, 4, 9, 16, 25, 36, 49 etc.

xeze [42]3 years ago

3 0

No, 50 is not a perfect square. A perfect square is any number that can be divided by any number to get the quotient as the same number AND the quotient must be rational. When you divide 50 so that the quotient equals the divisor, you will get an irrational number. Therefore, 50 is not a perfect square.

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A small bag of flavor weighed 13 ounces. A large bag was 5 percent heavier.How much does the large bag weigh?

Novay_Z [31]

13+5=18
The large bag would be 18 because you have to add 5 more ounces than 13

5 0

3 years ago

For the function y=-1+6 cos(2pi/7(x-5)) what is the minimum value?

Ad libitum [116K]

Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:
$\frac{2\pi}{7(x-5)^{2}}\sin{\frac{2\pi}{7(x-5)}}}$
which contains multiple solution if one tries to solve for x when the differentiated form is 0.

I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.

If, however, the function is
$-1+\cos{\frac{2\pi}{7}(x-5)}}$
Then differentiating and equating to 0 yields:
$\sin{\frac{2\pi}{7}(x-5)}}=0$
which gives:
$x=5$ or $8.5$

We reject x=5 as it is when it ix the maximum and thus,
$x=8.5\pm7n$ , for $n=0,\pm 1,\pm 2, ...$