helperid1839321

If you want to get scientific notation, put in your equation, then press enter. It will show you a step taken to get the solution, or just the solution. Press enter again. It should show you the answer. Press enter again, and it should show you the solution in scientific notation.

If you have a 1/80 chance of getting a certain outcome, the probability you will get a certain outcome is (1 - outcome)^tries.  So, the chance of not getting a 1/80 outcome over 173 tries is (1-(1/80))^173 = 0.1134799259264859, or about 11.35%. With 4 people doing this many tries, the outcome is just as likely as one person doing 4 times 173 tries, so the probability would be ((1-(1/80))^173)^4 = 0.0001658349921536, or about 0.0166%.

You can divide fractions. However, in general, you can just flip the second fraction (take the reciprocal) and then multiply the 2 fractions. To include one specific thing as a fraction on this calculator, you can place parenthesis around the fraction, and separate the numerator or denominator with a slash (x/y) --> \(\frac{x}{y}\) . If you're talking about on this calculator, you can type (a/b)/(c/d) to do this: \(\frac{a}{b}\div\frac{c}{d}\) .

I hope this helped!

I think I get what you're talking about:

Do you actually want to try all of the possible routes? I mean, sure, it makes sense with 4. But even there, you are doing 24 calculations. And this number goes up into the stratosphere pretty darn fast. This is one instance of a mathematical function called a factorial. To take the factorial of a number, you use the exclamation mark, and the function works like so: \(x! = x \times (x - 1) \times (x - 2) \times (x - 3) \times \dots \times 3 \times 2 \times 1\). At numbers like 30 or so, this is impractical for human calculation; there are 6,227,020,800 different routes you could take!

Try looking up the answers online. Search "(Textbook name) (Chapter number) (Problem) answer"

For \(\sqrt{2x}=\sqrt{4x+1}\):

Square each side to remove the meddlesome square root:

2x = 4x + 1

Isolate x (subtract 4x from each side, since 4 is the coefficient of x on the side with the extra number):

-2x = 1

Divide each side by -2 (the coefficient of x):

\(x = -\frac{1}{2}\)

Google says the formula for momentum is\(p=mv\), where p = the momentum of the object, m is the mass of the object, and v is the velocity of the object. Velocity is just speed with a given direction, so we can solve for speed in place of velocity for here, but not everywhere. The formula for speed is\(s=\frac{d}{t}\), where s is the speed of the object, d is the distance traveled, and t is the time it takes to move that distance. Using the given formula, we can solve for speed:

3.4 meters/2.3 seconds = about 1.47826087 meters/second

Since momentum is measured in kilogram-meters/second, we need to convert 46 grams to kilograms:

46 grams/1000 (conversion rate) = 0.046 kg

Now we combine the 2 outputs:

1.4782608695652174*0.046 = 0.068 kilogram-meters/second.

*Note: If you use the calculator with the decimal, you get the answer, a bunch of 0's, then 4, because the decimal is not exactly equal to the fraction given, however, if the fraction is used, you get exactly 0.068, because the 0.046 cancels out the 2.3 on bottom.

I don't have enough information. Is there anything else that might have been in the question?

Just so you know, the 2 other coordinates were right, heureka. They are (2, 4) and (4, 2) because 4^2 = 2^4 = 8. However, the intersection is (e,e) to the limits of Desmos's calculations.