Answer:
x = 67
Step-by-step explanation:
∠ CRQ = ∠ BQR = 113° ( Alternate angles )
∠ CRQ and ∠ CRS are adjacent angles and supplementary, that is
x + 113 = 180 ( subtract 113 from both sides )
x = 67
Answer:
34%
Step-by-step explanation:
According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.
Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.
Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 = 34%.
We are given with the equation <span>f(x) = ax3 + bx2 + cx + d
Substituting, (3,11)
</span><span>11= 27a + 9b + 3c + d
</span><span>@(5, 9)
</span><span>9 = 125 a + 25 b + 5c + d
@</span><span>(4, 10)
</span><span>10 = 64 a + 16 b + 4c + d
@inflection point, second derivative is equal to zero
</span><span>f'(x) = 3ax2 + 2bx + c
</span>f''(x) = 6ax + 2b = 0
when x is 4, 24 a + 2b = 0 or 12a + b = 0.
There are 4 equations, 4 unknowns: answer is
<span>0.5 x^3 - 6x^2 + 22.5 - 24 = 0</span>
Answer:
A - They Have Too Much Caramel
Step-by-step explanation:
Ari likes 3 oz caramel for 5 scoops ice cream.
Freeze Zone makes 6 oz caramel with 8 scoops of ice cream.
Divide both amounts of Freeze Zone by 2.
6 oz caramel for 8 scoops of ice cream is the same ratio as
3 oz caramel for 4 scoops of ice cream.
Since Ari likes 3 oz caramel for 5 scoops ice cream,
he will think it's too much caramel for the ice cream.
Answer: A - They Have Too Much Caramel
Step-by-step explanation:
f°g=
if the denominator is zero the number is undefined which makes it not in the domain of the function
set 
equal to 0
the values for x is 0 or 6
so the only value that is not in the domain of f°g is 0 and 6
Hope that helps :)
