Answer:
Area= 19.63 units squared Circumference= 15.71 units
Step-by-step explanation:
Area= π r ^2
Circumference= 2π r
Answer:
a) P = 5000(1.014)^y
b) 5,908
Step-by-step explanation:
Here, we want to write an exponential growth model;
a)The model will be represented as;
P = 5000( 1.014)^y
where P is the population at a particular year after 2010
y is the number of years after 2010
b.) For 2022;
y = 2022-2010 = 12
P = 5000(1.014)^12
P = 5,908 approximately
Answer:
I'm gonna rewrite each sentence in a way that lines up a little more with the Algebraic expression you would end up with. Just keep in mind that either way of saying it is correct.
1. "8 times some number (a variable) minus 5"
8x-5
2. "13 plus some number"
13+x
3. "Some number over 7"
x/7 or x÷7
4. "d number of drinks times 3.50 plus 12 equals how much John spent (we'll call it J)"
12+3.50d = J
5. "Stacey bowled x number of games times the cost of one game (call it B) plus the cost of the shoes (call it P) which equals how much they spent (call it S)"
xB+P = S
6. "675.95 dollars was spent at the mall by a number of players (call it P) to equal the total cost per player)"
$675.95÷p (players) = 675.95/p (dollars/player)
Essentially you're making expressions or equations out of numbers you know and putting in variables as place holders for numbers you don't know. The variables can be whatever letters you like, but you'll want to write what each variable represents down nearby. Otherwise the reader/your teacher won't know what's what.
Answers:
The domain of the graph is {-3, -1, 1, 4}. The range of the graph is {-4, -1, 1, 4}
The domain of the set of ordered pairs is {-4, -3, 1}. The range of the set of ordered pairs is {1, 3, 4}
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Recall that the domain is the set of allowed x values. All we do is list the unique x coordinates of each point which are -3, -1, 1 and 4. The range is the set of y values so we just list the unique y coordinates of each point which are -4, -1, 1 and 4.
The same will happen with the other problem as well. The set of points listed is pretty much identical to the first problem, but the points haven't been graphed, but instead their coordinates have been listed out. The first coordinate is the x coordinate. The second coordinate is the y coordinate. Each point is in the form (x,y).
The car price before tax is 18,000 dollars