F(11) means to replace x in the equation with 11
12(11) + 5
12 x 11 = 132
Now you have 132 + 5 = 137
F(11) = 137
9514 1404 393
Answer:
15/17
Step-by-step explanation:
cos(arctan(8/15)) = 15/17
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You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...
h = √(8² +15²) = √289 = 17
The cosine is the ratio of the adjacent side to the hypotenuse, so is ...
cos(x) = 15/17
Answer:
29037.036 miles
Step-by-step explanation
There are two possible ways to solve this problem.
The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.
2800/2.70 = 1037.037
This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.
1037.037 x 28 = 29037.036 gallons
The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.
For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.
Set it up like this:

This allows the equation to be more organized, and you can check your work by canceling the units.
Hope this helps.
Answer: m <PQR =600. 3x = 5X-20. -2x =- 20.
Step-by-step explanation:
This is correct. This is the way you take a mixed number and make it into an improper fraction. This answer is true.