Number of trees infected after t years:
The number of trees infected after t years is given by:
Question 1:
We have to find the number of years it takes to have 21 trees infected, that is, t for which:
Thus:
To isolate t, we apply the natural logarithm to both sides of the equation, and thus:
Thus, it will take 7.6 years for 21 of the trees to become infected.
Question 2:
We have to find the inverse function, that is, first we exchange y and x, then isolate x. So
Again, we apply the natural logarithm to both sides of the equation, so:
Thus, the logarithmic model is:
For an example of a problem that uses exponential functions and logarithms, you can take a look at brainly.com/question/13812761
17100 / 3600 = 4.75
So 4.75 days
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
The area of the shape is 12 square units
<h3>Area of a trapezium</h3>
The given shape is a trapezium and the formula for calculating the area of a trapezium is expressed as:
A = 0.5(a+b)h
Given the following parameters
a = 2
b = 10
h = 2
Substituting the given parameters
A = 0.5(2+10)*2
A = 0.2(12) * 2
A = 12 square units
Hence the area of the shape is 12 square units
Learn more on area of trapezium here: brainly.com/question/16904048
Answer:
Multiply 1/4 ; dividing 4
Step-by-step explanation:
Note that in each number going from left to right, it decreases by dividing 4 each time (or multiplying 1/4)
8/4 = 2 ; 2/4 = 1/2 ; (1/2)/(4) = 1/8 ; etc.
(8)(1/4) = 2 ; (2)(1/4) = 1/2 ; etc.
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