Answer:
1 
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
10 ÷ 20 = 5 ÷ 10 = 2 
÷ 5 =
Thus to obtain the next term in the sequence multiply the previous term by
2 × = 1
Answer:
Step-by-step explanation:
Point-slope form is represented by 
. To write an equation with it, we need the slope of the line and a point the line crosses through. We already have at least one point the line crosses through, so let's figure out the slope.
To find the slope, use the slope formula 
. 
and 
represent the x and y values of one point the line crosses, and 
and 
represent the x and y values of another point the line crosses. So, using the x and y values of (1, -6) and (8, 9), substitute them into the formula and solve:
Thus, the slope is 
.
2) Now, using the point-slope form of , substitute 
, , and for real values in order to write an equation in point-slope form. The represents the slope, so substitute in its place. The and represent the x and y values of one point on the line. So, choose any one of the points given - either one is fine - and substitute its x and y values for and . (I chose (8,9)). This gives the following equation and answer:
The circumference = π x the diameter of the circle (Pi multiplied by the diameter of the circle). Simply divide the circumference by π and you will have the length of the diameter. The diameter is just the radius times two, so divide the diameter by two and you will have the radius of the circle
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Answer: A. True</h3>
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Explanation:
Let x be the number of years since 1995. So x = 0 represents 0 years from 1995, x = 1 is 1 year after 1995, and so on.
The first row of the table is (x,y) = (0, 625) with y being the number of salmon.
The second row is (1, 400).
Let's find the slope of the line through these two points.
m = (y2-y1)/(x2-x1)
m = (400 - 625)/(1 - 0)
m = (-225)/1
m = -225
This tells us the salmon population dropped by 225 in the course of a year from 1995 to 1996.
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The third row shows (2, 225). Let's find the slope of the line through the two points (1, 400) and (2, 225)
m = (y2-y1)/(x2-x1)
m = (225 - 400)/(2-1)
m = (-175)/(1)
m = -175
The slope is different from the previous result. Because of this discrepancy, this means we do not have a linear model. The slope should be the same for any two points you pick from this table if you wanted a linear model.
Put another way, there is less steep a drop of the population, and the decay curve is slowly flattening out.
Answer:
1. 256 bacteria cells 2. y=2^x 3. 2 bacteria cells
Step-by-step explanation:
