A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at
1 answer:
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Answers and Step-by-step explanations:
1. We need to plug in values of x into the functions f(x) and g(x):
f(2) = 2.5 * 2 - 10.5 = -5.5 g(2) = = 16
f(3) = 2.5 * 3 - 10.5 = -3 g(3) = = 8
f(4) = 2.5 * 4 - 10.5 = -0.5 g(4) = = 4
f(5) = 2.5 * 5 - 10.5 = 2 g(5) = = 2
f(6) = 2.5 * 6 - 10.5 = 4.5 g(6) = = 1
2.
(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.
(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.
3.
(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).
(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.
(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.
Answer:
The correct answer is 61.08 foot.
Step-by-step explanation:
Length of the string of the kite, Mr. Black is flying is 65 foot. Thus the length between the kite and Mr. Black is given by 65 foot.
Angle of elevation is 70°.
We need to calculate the height of the kite above Mr. Black's head. The height is given by finding the sine of the angle of elevation.
Let the height be x foot.
Thus sin 70° =
⇒ x = sin 70° × 65
⇒ x = 61.08
Thus the height of the kite above Mr. Black head is 61.08 foot.