Answer:
17
Step-by-step explanation:
4 × 3² = 36
2 × 7 = 14
36 ÷ 12 = 3
3 ± 14 = 17
The sum of n terms of a geometric series is given by

Substituting the given numbers, you have

There are 6 terms in the series.
If you wanted to paint the entire door (even the top and bottom which people don't usually paint)
the surface area is
SA=2(LW+LH+WH)
where L=length, W=width and H=height
given
L=35.25
W=1.75
H=77
SA=2(35.25*1.75+35.25*77+1.75*77)
SA=2(61.6875+2714.25+134.75)
SA=2(2910.6875)
SA=5821.375
you need enough paint to cover 5821.375 square inches of door
Graph is attached below.
Step-by-step explanation:
We have to graph function y = 2x,
From equation, we can see a linear relationship between the values of x and y. This equation shows that the value of y is double than the value of x.
For example,
<u>x = 0</u>
y = 2(0)
y = 0
So, point would be (0,0)
<u>x = 1</u>
y = 2(1)
y = 2
So, point would be (1,2)
<u>x = 3</u>
y = 2(3)
y = 6
So, point would be (3,6)
<u>x = -1</u>
y = 2(-1)
y = -2
So, point would be (-1,-2)
<u>x = -3</u>
y = 2(-3)
y = -6
So, point would be (-3,-6)
By matching these points, a linear graph can easily be drawn. I have also attached the graph pic below.
Keywords: function, graph
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There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?
This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as
and we can use this to express both of our values. So, for Ohio, we have
and for Illinois we have
. Now, because they are proportional, we can set them equal to each other and we get
. Now we can cross multiply to get
. To get the
alone on one side, we divide by
and we get 124,662.931034, which is about equal to 124,663.
Therefore, we expect Illinois to have 124,663 public school teachers