Multiply the number of atoms in 1 mole by .44 so...2.7x10^23 atoms
Answer:
D. The new box plot will be positively skewed.
Step-by-step explanation:
We have been given a box plot which represents the the heights (in feet) of a sample of pine trees.
We are asked to determine that affect of adding a pine tree that is 140 feet tall to the sample.
We can see from our box plot that the tallest pine tree is 75 feet and 140 is approximately 2 times greater than 75.
After adding the a tree that is 140 feet tall, the maximum height will be 140 and our right whisker will be at point 140.
Since we know that for a positive skewed data, the tail of the distribution is longer on the right hand side.
As 140 is a extreme positive outlier for our given data set, therefore, after adding a tree that is 140 feet tall our box plot will be positively skewed and option D is the correct choice.
Answer:
-12
Step-by-step explanation:
required value is det(C)
detC = (-6×4)-(6×-2)
so |C| = -24+12
=-12
Answer:
Step-by-step explanation:
Since all the angles of triangle add up to 180 degrees,
Missing angle +100 +43=180.
Let the missing angle be 'x'.
Then, x + 100 +43 =180
or, x + 143 = 180
or, x = 180 - 143 = 37 degrees
So, the next angle is 37 degrees
One to one or injective means that each x in the domain maps to a unique y, i.e. the function preserves distinction.
y=(x-1)/(3x+3) is one to one. We can solve for x:
3xy + 3y = x - 1
3y + 1 = x - 3xy = x(1-3y)
x = (3y+1)/(1-3y)
That proves it's one-to-one; for each y we get one x.

That's also one to one,


That's the proof.

That's Not one-to-one
because f(-x)=f(x). We only need a single counterexample; f(1)=7/4, f(-1)=7/4

That's one-to-one, textbook case

That's not one-to-one because the fourth power dominates so this will be sort of parabola-ish, repeating the same big positive values for a negative and positive x.
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![y = f(x) = \sqrt[3]{x-2} + 8](https://tex.z-dn.net/?f=y%20%3D%20f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx-2%7D%20%2B%208)
![y - 8 = \sqrt[3]{x-2}](https://tex.z-dn.net/?f=y%20-%208%20%3D%20%5Csqrt%5B3%5D%7Bx-2%7D)



First choice