We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.
Further we know that there are 34 species at 11°s and 26 species at 44°s.
We can express the given information at two ordered pairs as shown below:
Let us find slope of the line through these points:
Therefore, we can write the equation of line in slope intercept form as:
Where b is the y intercept, and we can find its value using one of the two points.
Therefore, the required equation of the linear function is:
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
Step-by-step explanation:
If you use synthetic division, you get,
Which is,
Answered by GAUTHMATH
Answer:
125
Step-by-step explanation:
125 divided by 5 is 25, and 25 is 1/4 of 100
90 degrees is one quarter of a circle so,
circumference = 4 * 117.75 = 471
circumference = 2 * PI * radius
radius = 471 / (2*PI)
radius =
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74.9619781963
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