1 answer:
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Answer:
Step-by-step explanation:
The first question is asking you how many visitors there were, using the function model provided, when x = 0. Filling that in gives you:
Anything to the 0 power = 1, so
y = 18,582(1) and
y = 18,582
The second question is asking you how many visitors there were on the 9th weekend, when x = 9:
and
so
y = 7199
The last question is asking on what weekend (unknown x) are there
y = 15.051 visitors. That requires using a log to solve for x. Set it up first:
Start by dividing both sides by 18,582 to get:
Now we need to take the log of both sides to get that x out from its exponential position. By taking the log of the right side, we are given the ability to bring the x down in front:
log(.8099773975) = x log(.90)
Now divide both sides by log(.90) to get
x = 2.000
That means that on the second weekend, there were approximately 15,051 visitors.
Answer:
x=147°
Step-by-step explanation:
1. Analyze: The angle opposite to the 33 degree angle is 33 degrees because they are vertical angles.
2. Make an equation: The sum of all four angles (x, the angle opposite of x, the 33 degree angle, and the angle opposite of the 33 degree angle) is 360°. Therefore the equation would be (33°x2)+2x= 360°.
3. Solve for x:
a. Multiply 33 by 2
66+2x=360
b. Subtract 66 from both sides
66+2x=360
-66 -66
2x=294
c. Divide both sides by 2
x=147
4. Remember to add your label- the degree sign (°)
x=147°