<h2>For this example I am going to use Cape Coral-Fort Myers Florida which was the fastest growing city of 2017.
</h2><h2>As of January of 2000, the population of the city was 102,286, and as of January 1 of 2010, the population was 154,305; therefore, I'm going to examine a population growth over a period of 10 years.
</h2><h2>I am going to use the standard model for population growth:
</h2><h2>
</h2><h2>Where:
</h2><h2>= time (in years)
</h2><h2>= growth rate
</h2><h2>= initial population </h2><h2>= population after a time </h2><h2>
</h2><h2>Now, I'm going to replace the values in the equation to get :
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>Finally, I will multiply x by 100% to obtain 4% which the growing rate of Cape Coral-Fort Myers from 2000 to 2010.</h2>
Answer:
B & C
Step-by-step explanation:
2:9 can also be written as 2/9
A. 9:2 is just the reciprocal of 2:9 so it is not equivalent to it
B. 18:81 is 2×9:9×9 meaning that is equivalent to 2:9
C: 12:54 is 2×6: 9×6 so it is equivalent to 2:9
Since the two correct answers have already been found, I don't need to explain more.
Hope this helped!!!
Answer:
1. 10 6/7 2. 8/15
Step-by-step explanation:
1. 6 1/42 + 4 5/6
- First, let's combine the whole numbers. 6 + 4 = 10
- Now we are left with 1/42 + 5/6.
- To add or subtract, the dominators need to be the same. We need to find the least common multiple which here is 42.
1/42 + 5/6(7)
1/42 + 35/42
= 36/42
= 6/7
- All we have to do is combine both numbers.
10 6/7
2. 13/15 - 1/3(5)
13/15 - 5/15
8/15
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
Yes, math can be challenging sometimes (mostly due to the horrible way its taught by teachers but I wont go on a rant about that today).
The Slope of a parallel line is obviously going to have the same slope as the line it is parallel to, which you already know.
But for perpendicular, how would we figure that out?
First, you need to understand whats going on. Picture a linear line. Now, look at the (0,0) point. To make it perpendicular, it must form 90 degrees with the other line. Now, to get the answer for a perpendicular line, you need to remember two steps.
1.) Change the sign to the opposite sign (negative would go positive and positive would go negative)
2.) You take the reciprocal of the line (That is what times that number would make that number equal one. 2 * 1/2 would be 1. You can also look at this by switching the denominator and numerator.
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