f(x)= -2x-3
Step-by-step explanation:
Step 1:
Let the sequence given here is -5, -7, -9, -11, -13 ......
Here the first term (a₁) of sequence is -5
And the common difference between the numbers in the sequence is
d= (-7-(-5)) = -7+5 = -2
Let the number of terms be x
Step 2;
To find the sequence function basic arithmetic sequence formula is
aₙ = a₁ + d( x-1)
Applying the values we get
f(X) = -5 + ((-2)(X-1))
on simplification
f(X) = -5 + (-2X+2)
f(X)= -5+2-2X
f(X)= -3-2X
34.4%
to turn a decimal into a percent you move the decimal two places to the right
if you needed to turn a percent into a decimal, you'd move the decimal two places to the left
Answer:
Length of the Rectangle is to be considered as the circumference of the resulting cylinder and the width of the rectangle should be considered as the height of the cylinder only then we get the maximum volume of the cylinder which is 47.77
Step-by-step explanation:
The given dimensions are
Width of the rectangle is 6inches.
Length of the rectangle 10inches.
Now we need to choose in what orientation we need to use the length and the width of the rectangle so that it can be rolled into a rectangle and we get the maximum volume of the resulting cylinder.
so lets consider two cases
CASE-1: width of the rectangle is to be rolled as the circumference of the cylinder and length of the rectangle is to used as the height of the cylinder
2*pi*r = 6
r =
r = Inch
and the height = 10inch.
Volume of the resultant cylinder will be
=
=
=
= = 28.662
CASE-2: When the length of the rectangle is to used as the circumference of the resultant cylinder and the width of the cylinder is used as the height of the cylinder.
2*pi*r= 10
r =
and the height of the cylinder is 6 inch
Now the volume of the cylinder will be
Volume=
=
=
= = 47.77
Clearly we have the second case in which the resulting Cylinder will have the maximum volume.
Therefore the CASE-2 will provide the maximum Volume of 47.77 to the resulting cylinder in which the length of the rectangle is to be considered as the circumference of the Cylinder and the width of the rectangle is to be considered as the height of the cylinder.
Answer:
18 miles
Step-by-step explanation:
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Since the sequence has a common difference of 5, hence the sequence is 4, 9, 14, 19, ... is defined recursively using the formula f(n 1) = f(n) – 5 .
<h3>Recursive functions</h3>
Recursive functions are functions used to generalize sequence. Given the recursive function
f(n - 1) = f(n) – 5 .
This can be written as:
f(n) - f(n-1) = 5
This shows that the correct sequence must have a common difference of 5
For the sequence 4, 9, 14,19...
d = 9 - 4 = 14 - 9
d = 5
Since the sequence has a common difference of 5, hence the sequence is 4, 9, 14, 19, ... is defined recursively using the formula f(n 1) = f(n) – 5
Learn more on recursive functions here: brainly.com/question/489759
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