The equation for the given sequence representing the diameter of the circle is
f(n) = f(n-1) + 0.6, where f(1) = 2.5
Given, a sequence of diameters of a circle used to create an art project
2.5 , 3.1 , 3.7 , 4.3
We have to find a sequence that represents the diameter of the given circle,
Let f(n) be representing the diameter of the circle,
Now, for n = 1
f(n) = 2.5
for n = 2
f(n) = 3.1
for n = 3
f(n) = 3.7
for n = 4
f(n) = 4.3
As, f(2) = f(1) + 0.6 and so,
So, f(n) = f(n-1) + 0.6
Hence, the equation for the given sequence representing the diameter of the circle is
f(n) = f(n-1) + 0.6, where f(1) = 2.5
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The volume of a cuboid is = length × width × height.
Let the width of Olivia's lunch box be 'x'.
Hence the length of Olivia's lunch box shall be 'x + 2'
Also the height of the box is given as 3 inches.
The volume of the box is 240 in³
Substituting in the formula we get
Dividing by 3 on both sides
Exapnding we get
Subtracting 80 from both sides
Factoring
We get
x= -10 or x = 8
But x cannot be negative
So x = 8
Hence the width of the box is 8 inches.
Answer:
15/14 which equal 1 1/14
Step-by-step explanation:
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Answer:
2.15 FT
Step-by-step explanation:
just multiply 8 until you make it to 200 or the closest around 200
8 x 25 = 200
