Answer:
6
Step-by-step explanation:
Answer:
d = 240 - 44t
Step-by-step explanation:
Distance of the raft to the waterfall
The raft is heading for the waterfall, therefore, the distance between the raft and the waterfall is diminishing.
Waterfall=240 ft from the tunnel
Speed of the raft =44 ft per second
Therefore the equation of a function rule that represent the distance of the raft to the waterfall is:
d = 240 - 44t
Where t=time in seconds
Answer:
14.1 cm
Step-by-step explanation:
first find the base diagonal :
base di = Square root (8^2 + 6^2) = 10cm
so,
diagonal = Square root (10^2 + 10^2) = 14.1 cm (ANS)
"The graph shows the distribution of time (in hours) that teenagers spend playing video games per week. ", The statement that best describes the distribution is "The distribution is approximately Normal, with a mean of 14 hours and a standard deviation of 4" Option B.
This is further explained below.
<h3>What is Normal
distribution?</h3>
Generally, Data closer to the mean tends to occur more often than data further from the mean, as shown by the normal distribution, also known as the Gaussian distribution. The normal distribution may be represented graphically as a "bell curve."
In conclusion, "the graph illustrates the distribution of the amount of time, in hours, that teens spend playing video games over the course of a week," The statement "The distribution is nearly normal, with a mean of 14 hours and a standard deviation of 4" is the one that gives the most accurate account of how the data was distributed.
Read more about Normal distribution
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It looks like the differential equation is

Check for exactness:

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

*is* exact. If this modified DE is exact, then

We have

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

The modified DE,

is now exact:

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

Integrate both sides of the first condition with respect to <em>x</em> :

Differentiate both sides of this with respect to <em>y</em> :

Then the general solution to the DE is
