To find the common difference, we use the formula
where
<em>a2</em> represents the second term and <em>a1</em> represents the first term.
So plugging the second term and first term into
the formula, we have (17) - (12) which is 5.
So the common difference of
this arithmetic sequence is 5.
Density = Mass / Volume = 2000/0.5
Density = 4000 Kg/m^3
Answer:
t(n)= 0.2 * 2ⁿ
Step-by-step explanation:
Thickness= 0.2 millimeters
paper = 1
n= number of folds
The exponential function will be given by
t(n)= 0.2 * 2ⁿ
so if there's a single fold
t(1)= 0.2 * 2¹
t(1)= 0.4 mm
Now for 2 folds the thickness will be
t(2) = 0.2 *2 ²
t(2)= 0.2 *4
t(2) = 0.8mm
The exponential that represents this scenario is
t(n)= 0.2 * 2ⁿ
And for 3 folds the thickness will be
t(3) = 0.2 *2 ³
t(3)= 0.2 *8
t(3) = 1.6 mm
Let r represent the region bound by the graphs of y=sin(π x) and y=x³-4x.
Using the given information, the height of the tree is 48 ft
<h3>Trigonometry </h3>
From the question, we are to determine the height of the tree
In the given diagram, the height of the tree is (x + 5) feet
First, we will determine the value of x
tan 47° = x / 40
x = 40 × tan47°
x = 42.89 ft
∴ The height of the tree = (42.89 + 5) ft
Height of the tree = 47.89 ft
Height of the tree ≈ 48 ft
Hence, the height of the tree is 48 ft.
Learn more on Trigonometry here: brainly.com/question/15821537
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