Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)
<h3>Logarithmic function</h3>
Logarithmic are inverse of exponential functions. Given the following functions;
g(x)=log2x and g(x)=log10x
The point where the graphs intersect is the point where g(x) = g(x)
Equate
log2x = log10x
2x = 10x
The value of x that made them equal is 0
Determine the value of g(x)
g(0) = log2(0)
g(0) = ∞
Hence the point where graph of f and g intersect is (0, ∞)
learn more on log function here: brainly.com/question/13473114
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=
equals
k = 15.6
First, simplify
to 1.2. Your problem should look like:
= 1.2
Second, multiply both sides by 13. Your problem should look like: k = 15.6, which is the answer.
Answer:
37.5 °C
Step-by-step explanation:
The temperature appears to be increasing linearly at the rate of 5 °C in 2 minutes, or 2.5 °C per minute.
1 minute after 4 minutes, when the temperature is 35 °C, we expect it to be 2.5 °C higher, or 37.5 °C.
We know that
[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²
[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm
the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm
<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
