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Kitty [74]
2 years ago
12

Determine the time it takes for a computer to conduct 1 million operations if the computer can conduct 400 trillion operations p

er second

Mathematics
1 answer:
nignag [31]2 years ago
3 0

Answer:

your answer is right its 2.5 x 10^-9

Step-by-step explanation:

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1. You need to multiply the denominator by something that will make the content of the radical be a square—so that when you take the square root, you get something rational. Easiest and best is to multiply by √6. Of course, you must multiply the numerator by the same thing. Then simplify.

\displaystyle\frac{2}{\sqrt{6}}=\frac{2}{\sqrt{6}}\cdot\frac{\sqrt{6}}{\sqrt{6}}\\\\=\frac{2\sqrt{6}}{\sqrt{6}\cdot\sqrt{6}}=\frac{2\sqrt{6}}{6}\\\\=\bf{\frac{\sqrt{6}}{3}}

2. Identify the squares under the radical and remove them.

5\sqrt{12xm^3}=5\sqrt{(4m^2)(3xm)}=5\sqrt{(2m)^2}\sqrt{3xm}\\\\=5\cdot 2m\sqrt{3xm}=\bf{10m\sqrt{3xm}}

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Mr. Neiland bought 12 tickets to a chili supper and spent a total of $60. He bought a combination of adult tickets for $10 each
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Step-by-step explanation:

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7. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the
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Answer: 475.59 meters .

Step-by-step explanation:

The correct equation is the following:

y =-0 .02x^2 +9.5x + 5.6

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x = \frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case you can identify that the values of "a", "b" and "c" are:

a=-0.02\\\\b=9.5\\\\c=5.6

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x=\frac{-9.5\±\sqrt{(9.5)^2-4(-0.02)(5.6)}}{2(-0.02)}\\\\x_1=475.588\\x_2=-0.588

Choose the positive one and round it to the nearest hundreth:

x_1\approx 475.59

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