Give a counter example to this statement. The quotient of two fractions between 0 and 1 is always a whole number.

Answers

Answer 1

Answer: $0< (1)/(6) <1 \n 0< (1)/(3) <1 \n ( (1)/(6) )/( (1)/(3) ) = (3)/(6) = (1)/(2)$

Answer 2

Answer: There are many counter examples to this. People seem to think multiplying two fractions will get you a whole number but it definitely isn't the case. Just take 1/2 and 2/3 as an example:

1/2 ÷ 2/3 (dividing is the same as multiplying by the reciprocal)

1/2 * 3/2 is 3/4 and that is not a whole number. Hope this helped.

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What is the definition of a line segment

Answers

It's a point (with 0 dimensions) dragged up, down, left or right - forming a line (1 dimension).

It is a piece of a line

The national catch of Atlantic Cod has been declining in the past few decades. We can model this decline with the equation y = −.003x2 + .120x + 1.909 where x is the number of years since 1950 and y is the catch in millions of metric tons. In which year did the catch reach its maximum? In which year will the catch reach 0? For what years was the catch increasing? Decreasing? When was the catch greater than 2.5 million metric tons? Show all of your work or explain how you came up with your solutions.

Answers

y = -.003x² + .120x + 1.909
Standard form of a parabola is y = ax² + bx + c. The x coordinate of the vertex can be found with -b/2a.
-.120/(2 × -.003) + 20
So the max is at 1950 + 20 because x is years after 1950. Which is 1970.
To find when y will be 0, use the quadratic equation x = [-b +/- √(a² - 4ac)]/2a. +/- means plus or minus because I can't type the actual symbol.
x = [-.120 +/- √(-.003² - 4(-.003)(1.909))]/2(-.003) Plug in info
x = [-.120 +/- √(.000009 - 4(-.005727))]/-.006
x = [-.120 +/- √(.000009 + .022908)]/-.006
x = [-.120 +/- √(.022917)]/-.006
x=-.120/-.006 +/- √(.022917)/-.006
x = 20 +/- .15138361866/-.006
x = 20 +/- -25.2306031108
Because it is plus or minus you split it and do both.
x = 20 - -25.2306031108 x = 20 + -25.2306031108
x = 45.2306031108 x = -5.23060311077
so y is 0 when x is 45.2306031108 because there is no such thing as negative time so it can't be the other one. So the answer is 1995 because you add 45 to 1950.
Since the max is at 1970, it is increasing from 1950 to 1975 and decreasing from 1975 to 1995.

Sorry I took so long, I had to look up how to do it because I couldn't remember.

A container holds 5 l of fluid. does it hold more or less than 500ml of fluid

Answers

if a container holds 5 l of fluids then all you do is 500/5 which equals to 100 so the container does NOT hold more than 500ml of fluids

1 liter amounts to 1,000 milliliters, so 5 liters of fluid amount to 5,000 milliliters of fluid. 500 milliliters of fluid would be 0.5 or 1/2 liter. So, a container holding 5 liters of fluid would hold more than 500 milliliters of fluid.

How many angle does a stop sign have

Answers

A stop sign has 8 angles.

A stop sign has eight angles

Draw a quadrilateral that have 4 sides,opposite sides equal ,and no sides are perpendicular?

Answers

Any parallelogram that's not a rectangle meets those qualifications.

Start with a rectangle made out of popsicle sticks or stiff wire.
Then sit on it. Lightly. Not enough to break it, just enough
to make it lean slightly out of shape to one side.

Factor the given expression. 64^3-343

Answers

Your answer is 261201

63³-343 = 261801

Factor the following integer:

261'801

The sum of the digits of 261801 is 2 + 6 + 1 + 8 + 0 + 1 = 18, which is divisible by 9. This means 261801 is too.

261801 = 9×29089:

261801 = 9×29089

9 = 3^2:

261801 = 3^2×29089

Because 29089 is odd, only test odd numbers for divisibility.

29089 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17.

29089 = 19×1531 which means 29089 is divisible by 19:

261801 = 3^2×19×1531

3 is prime:

261801 = 3^2×19×1531

Because 19 is odd, only test odd numbers for divisibility.

19 is not divisible by 3.

Since 19 is not divisible by any integer up to 4, it is prime:

261801 = 3^2×19×1531

Because 1531 is odd, only test odd numbers for divisibility.

1531 is not divisible by 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 or 39.

Since 1531 is not divisible by any integer up to 39, it is prime:

261801 = 3^2×19×1531

There are 2 copies of 3, 1 copy of 19 and 1 copy of 1531 in the product:

Answer: 261801 = 3^2×19×1531

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