Answer:
C
Step-by-step explanation:
there are 3 people who did 32 and there are 3 people who did 50 so it is the same number.
Answer:
B.
Step-by-step explanation:
Let x be number of days and y be value of card.
It has been given that your parents gave you a gift card for your favorite coffee shop. The card was worth $50 when you got it. Each day, you buy a drink for $3.
We can see that value of card is dependent on number of days as value of card decrease by 3 each day. This means that slope of our line will be -3.
As initially you have $50, this means that y-intercept of our given line will be 50.
Since we know that equation of a line in slope-intercept form is:
, where,
m = Slope of line.
b = y-intercept.
Upon substituting our given values in slope intercept form of equation we will get,

Therefore, the equation
shows the value on the gift card over time.
Answer:
Step-by-step explanation:
You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:
and solving for a:
so
a = 143.0
Answer:

Step-by-step explanation:
a) Mapping the graphs
Mapping one graph (A) onto another (B) means that each vertical line through a point in A intersects the graph of the B at only one point.
In the diagram, the graph of ƒ(x) = √(x² + 9) is the blue line and the graph of g(x) = 5 + √(x² + 9) is in green.
Each vertical line through ƒ(x) intersects g(x) in only one point.
For example, a vertical line from (4, 0) intersects ƒ(x) at (4, 5) and g(x)
at (4, 10).
Every point in g(x) is five units higher than the corresponding point in ƒ(x).
Thus, mapping ƒ(x) onto g(x) is a translation of five units upward.
b) Integration

![\int_{2}^{11}{(5 + \sqrt{x^{2}+9})}dx \approx [5x]_2^{11}+65\\](https://tex.z-dn.net/?f=%5Cint_%7B2%7D%5E%7B11%7D%7B%285%20%2B%20%5Csqrt%7Bx%5E%7B2%7D%2B9%7D%29%7Ddx%20%5Capprox%20%5B5x%5D_2%5E%7B11%7D%2B65%5C%5C)


Since a full circle has 360degrees and this circle only has two angles, subtract the arc of the known angle to find the arc of the unknown angle.
Angle DGF + angle DEF= 360degrees
Angle DGF + 70degrees= 360 degrees
Angle DGF = 290 degrees
The arc of the unknown angle is 290 degrees