Answer:
3 bags
Step-by-step explanation:
9*(1/3 bag) = 3 bags
We're given an inner product defined by
That is, we multiply the values of 
and 
at 
and add those products together.
The inner product is
To find the norms 
and 
, recall that the dot product of a vector with itself is equal to the square of that vector's norm:
So we have
Finally, the angle 
between 
and 
can be found using the relation
Answer:
"Your" right or left means the right and left is the same if someone was standing side by side, facing the same direction as you. If someone is standing across from you, looking in the opposite direction as you (meaning their face is toward you), then they are opposite of you, like if you were looking in the mirror, so the right and left for you would be the swapped for them.
Your right means what you see from your direction, so if you have a magazine on your right and left, then for someone opposite of you, your right would be their left.
If you have trouble knowing what is right and left, on your left hand, stick out your pointer finger and thumb and notice how your left hand makes an L-shape. "L" is for "left." We read and write from left to right, meaning the sentence ends on the right. Think of the way you read, and that will help you remember as wee.
Both Alicia and Elena earned #135 each.
Alicia worked for 12 hours.
Elena worked for 75% of 12 hours = 0.75*12 = 9 hours.
Elena's earning rate is
($135)/(9 hours) = $15 per hour.
Answer: D. $15
Use the remainder theorem: it says that if <em>x</em> - <em>c</em> is a linear factor of a polynomial <em>f(x)</em>, then the remainder upon dividing <em>f(x)</em> by <em>x</em> - <em>c</em> is equal to <em>f(c)</em>.
In this case,
<em>f(p)</em> = <em>p</em>⁴ - <em>p</em>² - <em>p</em> - <em>k</em>
and <em>p</em> - 1 is a factor of <em>f(p)</em>. We have
<em>f </em>(1) = 1⁴ - 1² - 1 - <em>k</em> = -(<em>k</em> + 1)
Because <em>p</em> - 1 divides <em>f(p)</em>, the remainder is 0, which means
-(<em>k</em> + 1) = 0
<em>k</em> + 1 = 0
<em>k</em> = -1
