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scZoUnD [109]
3 years ago
5

Explain why 13233345364715 is a composite no.​

Mathematics
1 answer:
rodikova [14]3 years ago
6 0

Answer:

A composite number has more than two factors.  In this case, the number 13233345364715 has more than two factors, so it is composite.  

Step-by-step explanation:

Numbers can be classified as prime or composite.  Prime numbers have only two factors, 1 and the number itself.  For example, 13 is a prime number because only 1 and 13 can be multiplied together to get 13.  However, a composite number has more than two factors.  In the case of the numer 13233345364715, I know that there are more than two factors because the number ends in 5, which means it has a factor of 5.  To confirm, divide 13233345364715/5 = 2646669072943. This large of a number may also have other factors, however, since you now know it has at least four factors, it is composite.  

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How do I answer this dot plot?
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It would seem the problem requires you compute the mean, median, and standard deviation of each of the data sets. This is nicely done using the statistics functions of your graphing calculator.

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3 years ago
A model rocket is launched with an initial velocity of 240 ft/s. The height, h, in feet, of the rocket t seconds after the launc
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Answer:

About 1.85 seconds and 13.15 seconds.

Step-by-step explanation:

The height (in feet) of the rocket <em>t</em> seconds after launch is given by the equation:

h = -16t^2 + 240 t

And we want to determine how many seconds after launch will be rocket be 390 feet above the ground.

Thus, let <em>h</em> = 390 and solve for <em>t: </em>

<em />390 = -16t^2  +240t<em />

Isolate:

-16t^2 + 240 t - 390 = 0

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We can use the quadratic formula:

\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}

In this case, <em>a</em> = 8, <em>b</em> = -120, and <em>c</em> = 195. Hence:

\displaystyle t = \frac{-(-120)\pm \sqrt{(-120)^2 - 4(8)(195)}}{2(8)}

Evaluate:

\displaystyle t = \frac{120\pm\sqrt{8160}}{16}

Simplify:

\displaystyle t = \frac{120\pm4\sqrt{510}}{16} = \frac{30\pm\sqrt{510}}{4}

Thus, our two solutions are:

\displaystyle t = \frac{30+ \sqrt{510}}{4} \approx  13.15 \text{ or } t  = \frac{30-\sqrt{510}}{4} \approx 1.85

Hence, the rocket will be 390 feet above the ground after about 1.85 seconds and again after about 13.15 seconds.

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Answer:

Step-by-step explanation:

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