Answer:
1/3
Step-by-step explanation:
You can answer this as
9/27=1/3
and
3/9=1/3
and so 1/3 is the the constant proportionality for both figures
Hope You Understand :)
I believe with vertical angles, they are equal to each other.
Therefore,
2y + 5 = 4y
subtract 2y from both sides
5 = 2y
divide 2 from both sides
y = 5/2
<h3>Answer: Approximately 191 bees</h3>
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Work Shown:
One way to express exponential form is to use
y = a*b^x
where 'a' is the initial value and 'b' is linked to the growth rate.
Since we're told 34 bees are there initially, we know a = 34.
Then after 4 days, we have 48 bees. So we can say,
y = a*b^x
y = 34*b^x
48 = 34*b^4
48/34 = b^4
24/17 = b^4
b^4 = 24/17
b = (24/17)^(1/4)
b = 1.090035
Which is approximate.
The function updates to
y = a*b^x
y = 34*(1.090035)^x
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As a way to check to see if we have the right function, plug in x = 0 and we find:
y = 34*(1.090035)^x
y = 34*(1.090035)^0
y = 34*(1)
y = 34
So there are 34 bees on day 0, ie the starting day.
Plug in x = 4
y = 34*(1.090035)^x
y = 34*(1.090035)^4
y = 34*1.4117629
y = 47.9999386
Due to rounding error we don't land on 48 exactly, but we can round to this value.
We see that after 4 days, there are 48 bees.
So we confirmed the correct exponential function.
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At this point we can find out how many bees there are expected to be after 20 days.
Plug in x = 20 to get
y = 34*(1.090035)^x
y = 34*(1.090035)^20
y = 190.672374978452
Round to the nearest whole number to get 191.
There are expected to be roughly 191 bees on day 20.
Answer:
hexagon
Step-by-step explanation:
cross section of the cuboid
Answer:
The first number (or x value) of an ordered pair.
Step-by-step explanation:
Abscissa is the first number (or x value) of an ordered pair.
A coordinate plane is a way of locating points in a plane that consists of a horizontal and a vertical number line intersecting at the zeros.
Coordinates are an ordered pair, (x, y), that describes the location of a point in the coordinate plane.
Ordinate is the second number (or y value) of an ordered pair.
Origin is the point of intersection, (0, 0), of the axes in the coordinate plane.
A quadrant is a region in the coordinate plane.
X axis is the horizontal axis in the coordinate plane.
Y axis is the vertical axis in the coordinate plane.
