B. 1/3
i hope this helps! :)
Consider a sequence defined similarly to the Fibonacci, but with a slight twist:
f(n) = f(n-1)-f(n-2) with f(1) = 2 and f (2) = 5
Generate terms f (3), f(4), f(5), f(6), f(7), and f(8). Then, determine the value of f(25).
A sequence can be arithmetic, geometric, and it can take several other forms such as Fibonacci.
The values of f(3), f(4), f(5), f(6), f(7), and f(8) are 3, -2, -5, -3, 2, 5The value of f(25) is 2The given parameters are;
[tex]\mathbf{f(n) = f(n-1)-f(n-2)}[/tex]
[tex]\mathbf{f(1) = 2 }[/tex]
[tex]\mathbf{f(2) = 5 }[/tex]
Calculate f(3), f(4), f(5), f(6), f(7), and f(8).
Substitute 3 for n in [tex]\mathbf{f(n) = f(n-1)-f(n-2)}[/tex]
[tex]\mathbf{f(3) = f(3-1)-f(3-2)}[/tex]
[tex]\mathbf{f(3) = f(2)-f(1)}[/tex]
[tex]\mathbf{f(3) = 5-2}[/tex]
[tex]\mathbf{f(3) = 3}[/tex]
Following the above sequence, we have:
[tex]\mathbf{f(4) = f(3)-f(2)}[/tex]
[tex]\mathbf{f(4) = 3-5}[/tex]
[tex]\mathbf{f(4) = -2}[/tex]
[tex]\mathbf{f(5) = f(4)-f(3)}[/tex]
[tex]\mathbf{f(5) =-2- 3}[/tex]
[tex]\mathbf{f(5) = -5}[/tex]
[tex]\mathbf{f(6) = f(5)-f(4)}[/tex]
[tex]\mathbf{f(6) =-5- -2}[/tex]
[tex]\mathbf{f(6) = -3}[/tex]
[tex]\mathbf{f(7) = f(6)-f(5)}[/tex]
[tex]\mathbf{f(7) =-3--5}[/tex]
[tex]\mathbf{f(7) = 2}[/tex]
[tex]\mathbf{f(8) = f(7)-f(6)}[/tex]
[tex]\mathbf{f(8) =2--3}[/tex]
[tex]\mathbf{f(8) = 5}[/tex]
Hence, the values of f(3), f(4), f(5), f(6), f(7), and f(8) are 3, -2, -5, -3, 2, 5
Then, determine the value of f(25).
In (1), we have:
[tex]\mathbf{f(3) = 3}[/tex]
[tex]\mathbf{f(4) = -2}[/tex]
[tex]\mathbf{f(5) = -5}[/tex]
[tex]\mathbf{f(6) = -3}[/tex]
[tex]\mathbf{f(7) = 2}[/tex]
[tex]\mathbf{f(8) = 5}[/tex]
This means that:
[tex]\mathbf{f(n) = -f(n-3i)}[/tex]
Where i is greater than 0
Substitute 25 for n
[tex]\mathbf{f(25) = -f(25-3i)}[/tex]
Let i = 7.
So, we have:
[tex]\mathbf{f(25) = -f(25-3 \times 7)}[/tex]
[tex]\mathbf{f(25) = -f(25-21)}[/tex]
[tex]\mathbf{f(25) = -f(4)}[/tex]
So, we have:
[tex]\mathbf{f(25) = -(-2)}[/tex]
[tex]\mathbf{f(25) = 2}[/tex]
Hence, the value of f(25) is 2
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Oordinates of point that divides the join of A (-6, 3) & B (5, -2) in ratio 2 : 3 externally _________.
Answer:
C(x,y) = (-28,13)
Step-by-step explanation:
If co-ordinates of points A(x1,y1) and (x2,y2) and C is the external point that divides the line AB in ratio m:n then,
[tex]C (x,y) = \frac{mx_2-nx_1}{m-n} , \frac{my_2-ny_1}{m-n}[/tex]
Given: A (-6, 3) & B (5, -2) in ratio 2 : 3
Substituting these values in above formula to C(x,y)
C (x,y) = \frac{2\times5-3(-6)}{2-3} , \frac{2(-2)-3(3)}{2-3}
Solving we get
C(x,y) = (-28,13)
PLZ HELP!!!! WILL MARK AS BRANLESTTT.. PLZZZZ
Answer:
(4,4)
Step-by-step explanation:
1+3=4
3+1=4
(4,4)
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Going from one point to the other, the change in x is 15 and that in y is 8. Therefore, applying the Pythagorean Theorem,
distance = √(225 + 64) = √289 = 17
The distance between the two points is 17 units.
Answer:
Solution :-Distance = √(x2 - x1)² + √(y2 - y1)²
Distance = √(7 - (-8))² + √(8 - 0)²
Distance = √(7 + 8)² + √(8)²
Distance = √(15)² + √(8)²
Distance = √(225 + 64)
Distance = √(289)
Distance = 17 unit
[tex] \\ [/tex]
What is 429 + (576+ 24) =? Also how do I award brainliest. I will give Brainliest to first who gets the correct answer and tells me how. l m a o
Answer:
1029
Step-by-step explanation:
A square window has an area of 256 in2. If each side of the window measures 4x, ……
What is the value of x applicable to this problem?
What is the length and width of the window?
URGENT
Answer:
sides are of 16 in
Step-by-step explanation:
here's your solution
==> area of square = 256 in^2. [given]
==> side of square = 4x
==> area of square= side^2
==> 4x^2 = 256
==> 16x^2 = 256
==> x^2 = 256/16
==> x^2 = 16
==> x = √16
==> x = 4
==> x = 4
hence sides are of 16 in
Hope it helps
The height of Cylinder a is 32 feet and the height of Cylinder b is 24 feet. If the cylinders are similar, find the surface area ratio of Cylinder A to Cylinder B.
9.2 HW Central Angles, Arc Measures, & Arc Length
Answer:
here i hope this help im not sure if a can find the exact answer your looking for but here is a formula
need answer quick please
Answer:
77
Step-by-step explanation:
mean is also known as the average
to find the average you add up every data point and divide by number of data points.
74 + 75 + 80 + 76 + 75 + 81 + 78 = 539
539 / 7 = 77
F = (9/5× C)+ 32
90°C = __°F
Answer:
c= 1/ 90 f
Step-by-step explanation:
A contracting company rents a generator for 6 hours and a heavy duty saw for 6 hours total cost of $48 for another job the company rents the generator for 4 hours and the saw for 8 hours for a total cost of $40 find the hourly rates
Answer:
the hourly rates are $8 and $10 respectively
Step-by-step explanation:
Given that
The generator rents for 6 hours and the total cost is $48
And, for another job The generator rents for 4 hours and the total cost is $40
We need to find out the hourly rates
For the first one
= $48 ÷ 6 hours
= $8
For the second one
= $40 ÷ 4 hours
= $10
Hence, the hourly rates are $8 and $10 respectively
what's 19.72308 rounded to the nearest hundredth
20
Step-by-step explanation:
i belive
Select the correct answer.
Solve the equation below for x. cx-4=7
A. x=3/c
B. x=c/3
C. x=c/11
D. x=11/c
Answer:
C
Step-by-step explanation:
Answer:
D. x = 11/c
Step-by-step explanation:
you add 4 to both sides so you can make the x by itself.
we are left with cx = 11
you divide c to both sides
Final Answer: x = 11/c
HELLLLPPP PLEASEE
If the hypotenuse is 20 and one of the legs is 12, what is the length of the missing leg?
Answer: 16
Step-by-step explanation:
whats the answer to this question
Answer:
I believe the answer for that is this
y=-x²-1
y=0
A ___ thermometer has a liquid that _____ and rises in a ____ tube when it's temperature goes up; the liquid ___ and it's level drops when the temperature goes down.
Answer:
The answer is "bulb, expands, and glass ".
Step-by-step explanation:
The bulb thermometer is the common glass temperature sensor for which you might be grown up. This thermometer is filled with a liquid, typically mercury. Bulb thermometers work on the simple premise that it volume of the liquid varies in proportion to its volume.
It is a glass tube that is pre full with a fluid such as a hydrogen or liquor and is sealed at both sides. The fluid in the glass tube rises as the mercury inside the thermometer's bulb increases. When the temperature gauge is warm, the liquid inside flows up in the tube.
HELP!
2. Can two sets of data have the same mean, but not the same variance?
Answer:
Yes two sets of data have the same mean but not the same variance
Write the product using exponents. TT. 7. T. X. X. X. X Using exponents, the product is
T^2 7 T X^4 I think. Does that help?
Lesser x and greater x
1) y - 5 = -5/2(x + 1)
Graph the equation
What is the area of the shaded region?
Answer:
I think it may be 114.
Step-by-step explanation:
Find the area of the trapezoid
Answer: 49 in^2
Step-by-step explanation:
Trapezoid area formula = (a+b/2) x h
So...
(5+9/2) x 7
= 49 in^2
[tex] \huge \boxed {\longmapsto\mathcal {\purple {Answer}}}[/tex]
Area of trapezoid :
[tex] \boxed{ \frac{1}{2} \times sum \: of \: parallel \: sides \times height }[/tex]
=》
[tex] \boxed {\frac{1}{2} \times (9 + 5) \times 7}[/tex]
=》
[tex] \boxed {\frac{1}{2} \times 14 \times 7}[/tex]
=》
[tex]\boxed{7 \times 7}[/tex]
=》
[tex]\boxed{49}[/tex]
[tex] \boxed {\mathfrak{area = 49 \:in {}^{2} }}[/tex]
1. What is the length of the hypotenuse of a right triangle with legs of length 80 feet and 150 feet? Show
all algebraic work for full credit.
Answer:
80^2 + 150^2
6400 + 22500 = 28,900
Something squared will equal 28,900
170^2 = 28,900
170 is your answer!
The length of the hypotenuse of the right triangle with legs of 80 feet and 150 feet is 170 feet.
How to determine the hypotenuse of the triangle?To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
In this case, the legs of the triangle have lengths of 80 feet and 150 feet, so we can label them as follows:
Leg 1: a = 80 feet
Leg 2: b = 150 feet
We can then use the Pythagorean theorem to solve for the length of the hypotenuse, which we can label as c:
c² = a² + b²
Substituting in the values for a and b, we get:
c² = (80 feet)² + (150 feet)²
c² = 6,400 square feet + 22,500 square feet
c² = 28,900 square feet
c = √(28,900 square feet)
c = 170 feet
Therefore, the length of the hypotenuse of the right triangle with legs of 80 feet and 150 feet is 170 feet.
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4+2(17-12)
PLEASE SIMPLIFY
anyone tell me the answer to b please
Answer:
total amount of students in the class = 24
the amount of boy students in the class = 8
the amount of girl students in the class = ?
a) we know how many boys are in so B=8/24
b) know you calculate the amount of girl students in the class
totally they are 24 students are found we know the boys then the last are girls to know how many girls are in there
24 - 8 = 16 girls.
G=16/24
can someone help me
Answer:
c = 5
Step-by-step explanation:
4c - 12 = 8
add 12 to each side to get:
4c = 20
divide each side by 4 to get:
c = 20/4 which is 5
Answer:
Step-by-step explanation:
The first one
which of these figures has rotational symmetry?
Answer: Choice C
We can rotate the figure 180 degrees so that it lines up with its original image perfectly. In other words, the before and after would be identical images.
The rotational symmetry of a form explains why an item has the same shape when rotated on its own axis. The correct option is C.
What is Rotational Symmetry?The rotational symmetry of a form explains why an item has the same shape when rotated on its own axis. When turned 180 degrees or with specific angles, clockwise or anticlockwise, many geometrical forms appear to be symmetrical. Examples include squares, circles, hexagons, and more.
The shape that has a rotational symmetry is option C, which is a parallelogram.
Hence, the correct option is C.
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please i need ur help <3
Which graph represents (x + 5)2 + (y – 2)2 ≥ 9?
Answer:
The answer is A on Edge or Image with a Circle what is not shaded in
Step-by-step explanation:
The graph of an inequality (x + 5)² + (y - 2)² ≥ 9 is the set if all points on the circle (x + 5)² + (y - 2)² = 3² and outside the circle.
What is an inequality?"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."
What is a graph of a function?"It is a set of all points on the coordinate plane that follows given function."
What is equation of circle?"The equation of circle centered at (h, k) and radius 'r' is,
(x - h)² + (y - k)² = r² "
For given question,
We have been given an inequality (x + 5)² + (y - 2)² ≥ 9
We know the equation (x + 5)² + (y - 2)² = 9 would represent the equation of circle.
Comparing equation (x + 5)² + (y - 2)² = 3² with the standard form of circle,
We have r = 3, h = -5 and k = 2
This means, an equation (x + 5)² + (y - 2)² = 3² represents a circle with center at (-5, 2) and radius 3.
The solution to an inequality (x + 5)² + (y - 2)² ≥ 9 is the set if all points on the circle (x + 5)² + (y - 2)² = 3² and outside the circle.
The graph of an inequality (x + 5)² + (y - 2)² ≥ 9 is as shown below.
Therefore, the graph of an inequality (x + 5)² + (y - 2)² ≥ 9 is the set if all points on the circle (x + 5)² + (y - 2)² = 3² and outside the circle.
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De cada parábola (y-2)^2=8 (x-3)
Answer:
See below (Siéntete libre de traducir al inglés)
Step-by-step explanation:
Given the parabolic equation is in the form of (y-k)²=4p(x-h), this is a horizontal parabola with a vertical directrix at x=h-p where (h,k) is the vertex and the focus is (h+p,k). Since p=2, then the directrix is x=3-2=1. The vertex would be (h+p,k) -> (3+2,2) -> (5,2). Refer to the graph.