Answer:pls is it all we are to ans
Step-by-step explanation:
Answer:
a)
a1 = log(1) = 0 (2⁰ = 1)
a2 = log(2) = 1 (2¹ = 2)
a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849
a4 = log(4) = 2 (2² = 4)
a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322
a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)
a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807
a8 = log(8) = 3 (2³ = 8)
a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )
a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322
b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:
log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that
a1 = 1
a2 = 2
a3 = 3
a4 = 4
a5 = 5
a6 = 6
a7 = 7
a8 = 8
a9 = 9
a10 = 10
I hope this works for you!!
The dimensions of the rectangles to the nearest hundredth are
- length = 13.56 inches
- width = 3.39 inches
<h3>What is a rectangle?</h3>
A rectangle is four sided plane figure which each pair of sides equal and opposite to each other. The sides intersect at an angle of 90 degrees.
<u>Given data</u>
Area of the rectangle = 46 square inches
length L = 4 * width W
area of a rectangle, A
A = L * W
46 = L * W
46 = 4w * w
46 = 4w^2
w^2 = 11.5
w = sqrt ( 11.5 )
w = 3.391 inches
w = 3.39 to the nearest hundredth
since L = 4w
L = 4 * 3.391
L = 13.564
L = 13.56 to the nearest hundredth
Read more on areas of rectangles here: brainly.com/question/2607596
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Answer:
c
i think
Step-by-step explanation:
Mode: 3 as it comes up the most
