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3 years ago

It is 11 a.m. in the Eastern Time Zone; therefore, what time is it in the Pacific Time Zone

Mathematics

1 answer:

lana66690 [7]3 years ago

6 0

Pacific time is 3 hours before Eastern time so subtract 3 hours from 11:00 am and you get 8:00 am

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Each statement describes a transformation of the graph of y = lnx. Which statement correctly describes the graph of y = ln(x - 7

vodomira [7]

Hello!

The parent function, y = ln(x), has a vertical and horizontal translation.

y = ln(x - h) + k | In this equation, h is the vertical shift, and k is the horizontal shift.

If ln(x - k), then the graph is translated right k units.

If ln(x + k), then the graph is translated left k units.

If ln(x) + h, then the graph is translated up h units.

If ln(x) - h, then the graph is translated down h units.

Therefore, the graph of y = ln(x - 7) + 3 is translated 3 units up and 7 units to the right, which is choice D.

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4 years ago

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3 years ago

If a coin is flipped 75 times, in how many ways could there be exactly two tails?

Dimas [21]

Answer:

2775 ways

Step-by-step explanation:

We have been given the case to choose exactly two tails when flipped 75 times means $^{75}C_2$

Since, $^nC_r$ is equal to $\frac{n!}{r!\cdot(n-r)!}$

Here n =75, r=2 substituting the values we will get

$\frac{75!}{2!(75-2)!}$

$n!=n\cdot (n-1)\cdot (n-2).....1$

After simplification we will get $\frac{75\cdot 74\cdot 73!}{2!\cdot73!}$

Cancel out the common term that is 73! we will get

after more simplification we will get $\frac{75\cdot 74\cdot}{2!}$

Finally, we will get $\frac{75\cdot 74\cdot}{2}=75\cdot37=2775$

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