The error interval for y is 7.8 ≤ y < 7.9.
Explanation:The error interval is determined by the decimal digits that will determine the value of y. Since the calculator display shows 7.8, y will be between 7.8 and the next smallest number, which will be 7.9. Therefore, the error interval for y is:
7.8 ≤ y < 7.9
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The error interval for y is [7.8, 7.9).
Explanation:To find the error interval for y, we need to consider the decimal place immediately after the given value on Sarah's calculator display. Since the given value is 7.8, we look at the digit after the decimal point, which is 0. If this digit is 5 or greater, we round up the previous digit. In this case, 0 is not greater than 5, so we do not round up. Therefore, the error interval for y is [7.8, 7.9).
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having some trouble helppp.
Answer:
3/5
Step-by-step explanation:
Answer:
The slope is 3/5.
Step-by-step explanation:
First remember that the formula for slope is the difference in ys / difference in xs.
m = y2 - y1 / x2 - x1
Plug in the coordinates of the two points you're given, keeping in mind that coordinates are (x,y).
m = -5 - 1 / -5 -5
m = -6 / -10
m = 6/10 = 3/5
HELP ME PLEASE
Match each transformation or sequence of transformations to an equivalent transformation or sequence of transformations.
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
arrowRight
a reflection across the x-axis and then a
reflection across the y-axis
arrowRight
a 90° clockwise rotation about the origin
and then a rotation 180° about the origin
arrowRight
A 90° counterclockwise rotation is the same as a 270° clockwise rotation. A 180° rotation is the same as a reflection across both axes. A 90° clockwise rotation is the same as a 270° counter-clockwise rotation. Two separate rotations of 90° counter-clockwise and then 180° are the same as rotations of 90° clockwise and then 180°.
Explanation:In mathematics, especially in geometry, transformations involve changing the position, size or shape of a figure. The question is about matching specific transformations or sequence of transformations to its equivalent transformation.
A 90° counterclockwise rotation about the origin is equivalent to a 270° clockwise rotation about the origin because they both result in the same final position.A 180° rotation about the origin is equivalent to a reflection across the x-axis and then a reflection across the y-axis. Both of these transformations result in the figure being flipped over the origin.A 90° clockwise rotation about the origin is equivalent to a 270° counterclockwise rotation about the origin as they both result in the same final position.A 90° counterclockwise rotation about the origin and then a 180° rotation about the origin is equivalent to a 90° clockwise rotation about the origin and then a rotation 180° about the origin because they both result in the same final position.Learn more about Geometry Transformations here:https://brainly.com/question/30165576
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A firefighter is standing on the middlemost rung of a ladder, extinguishing a fire. In order to get a better position, the firefighter climbs 6 rungs. But due to the flames, the firefighter climbs down 10 rungs. After the fire calms down the firefighter climbs 18 rungs to reach the top rung.
How many rungs did the ladder have?
Answer:
29 rungs
Step-by-step explanation:
In this question, we are to use the climbing statistics of a firefighter to determine the number of rungs a ladder have.
Firstly, since we do not know the number of rungs but we know we are starting from the middle rung, let the middle rung be r.
From the middle rung, he climbed 6 rungs, meaning he would be on rung x + 6 ! From here he came down ten rungs, meaning he would be on rung x + 6 - 10 = x -4
Now, he climbed 18 rungs again, making x -4+18 = x + 14
This is equal to the topmost rung i.e the topmost rung is at a position x + 14
This means that the ladder must have 14 rungs above the middle , 14 below it and the middle itself
14+ 14 + 1 = 29 rungs
The firefighter's movements on the ladder suggest that the ladder has 41 rungs, confirmed by algebraically considering the middle rung 'm' and then solving for 'm' knowing the positions relative to the top.
To solve the question, let's follow the firefighter's movement on the ladder using variables and a step-by-step approach. If we let the middlemost rung the firefighter is initially standing on be represented by 'm,' we can track the rung positions with the following moves:
The firefighter climbs up 6 rungs: new position is m + 6.
The firefighter then climbs down 10 rungs: new position is (m + 6) - 10 = m - 4.
Finally, to reach the top of the ladder, the firefighter climbs up 18 rungs: new position is (m - 4) + 18 = m + 14.
Since the final position is the top rung of the ladder, it means the middlemost rung 'm' plus 14 rungs equals the total number of rungs on the ladder. Because 'm' is the middle rung of the ladder, there must be 'm - 1' rungs below it. Therefore, the total number of rungs on the ladder is (m - 1) + m + 14. Simplifying, this becomes 2m + 13.
Now we know that 2m equals the number of rungs minus the top 14 rung positions, and since 'm' represents the middlemost rung, '2m' represents the total number of rungs on the ladder except for the top 14. Hence, the total rungs on the ladder are 2m + 14. But since 2m + 13 equals the total, the only number that satisfies this condition is when m = 14. Therefore, the ladder must have 2m + 13 = 2(14) + 13 = 41 rungs.
What is the square root of negative 64?
Answer: 8 i
Step-by-step explanation: The square root of negative 64 is 8 i. Whenever you are finding a negative square root you need to find what times what will equal that number. 8 x 8 = 64. So the square root is 8. But, since we are finding a negative square root, the answer will be 8 i. i states that 8 is the negative square root of 64.
So the answer is 8 i.
Always add i after the number when finding negative square roots.
Mishka is on a long road trip, and she averages 75 mph for 2 hours while she's driving on the highway. While she's driving on side roads for 1 hour, she only averages 45 mph. What is the total distance that she covers on her road trip?
A.
120 miles
B.
195 miles
C.
240 miles
D.
75 miles
If she goes 75 mph for 2 hours, that's 150 miles altogether. 45 mph for 1 hour is 45 miles, so 150 + 45 is 195 miles.
The total distance that Mishka covers on her road trip is 195 miles.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To calculate the total distance covered on the road trip
we need to add the distances traveled on the highway and side roads.
Distance on the highway = speed × time
= 75 mph × 2 hours
= 150 miles
Distance on side roads = speed × time
= 45 mph × 1 hour
= 45 miles
Total distance covered = Distance on the highway + Distance on side roads = 150 miles + 45 miles
= 195 miles
Therefore, the total distance that Mishka covers on her road trip is 195 miles.
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Idk how to answer this question
Answer:
It's z^11
Step-by-step explanation:
To multiply exponents with the same base (z), you add the exponents so in this case you add 5 and 6 to get z^11
Answer:
[tex]z^{11}[/tex]
Step-by-step explanation:
[tex]z^{a} *z^{b}= z^{a+b} \\z^{5} *z^{6}= z^{5+6} = z^{11}[/tex]
The perimeter of a rectangle is 48 feet. If the length measures 16 feet, which is the width?
A. 5ft
B. 8ft
C. 10ft
D. 16ft
Answer:
B. 8ft
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
Substituting in the given values
48 = 2(16+w)
Divide each side by 2
48/2 = 2/2(16+w)
24 = 16+w
Subtract 16 from each side
24-16 =16+w-16
8 =w
Please Help! Determine the number of solutions to each system of equations.
The solution is
The equations with one solution is
y = 0.5x - 2 ; y = -0.5x + 4
y = 2x + 1 ; y = 4x + 1
The equations with no solution is
y = 0.5x + 5 ; y = 0.5x + 1
y = -x - 3 ; y = -x + 3
The equations with infinite number of solutions is
y = 3x + 2.5 ; y = 3x + 2.5
y = -x - 2 ; y = -x - 2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
y = 0.5x - 2 be equation (1)
y = -0.5x + 4 be equation (2)
On simplifying both the equations , we get
0.5x - 2 = -0.5x + 4
Adding 0.5x on both sides of the equation , we get
x - 2 = 4
Adding 2 on both sides of the equation , we get
x = 6
Substitute the value of x in equation (1) , we get
y = 1
The value of x is 6 and value of y is 1
b)
y = 0.5x + 5 be equation (1)
y = 0.5x + 1 be equation (2)
On simplifying both the equations , we get
0.5x + 5 = 0.5x + 1
Now , the equations are contradictory and there are no solution
c)
y = 2x + 1 be equation (1)
y = 4x + 1 be equation (2)
On simplifying both the equations , we get
2x + 1 = 4x + 1
Subtracting 2x on both sides of the equation , we get
2x + 1 = 1
Subtracting 1 on both sides of the equation , we get
2x = 0
x = 0
Substitute the value of x in equation (1) , we get
y = 1
Therefore , the value of x is 0 and value of y is 1
d)
y = 3x + 2.5 be equation (1)
y = 3x + 2.5 be equation (2)
On simplifying both the equations , we get
3x + 2.5 = 3x + 2.5
Therefore , the equations are similar and there are infinite number of solutions
e)
y = -x - 3 be equation (1)
y = -x + 3 be equation (2)
On simplifying both the equations , we get
-x - 3 = -x + 3
Now , the equations are contradictory and there are no solution
f)
y = -x - 2 be equation (1)
y = -x - 2 be equation (2)
On simplifying both the equations , we get
-x - 2 = -x - 2
Therefore , the equations are similar and there are infinite number of solutions
Hence , the system of equations are solved
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Which statement compares the median wind speeds for the data in the two box plots? The median wind speed for country A is greater than the median wind speed for country B. The median wind speed for country B is greater than the median wind speed for country A. The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9 miles per hour. The median wind speed for each country is about 4 miles per hour. Mark this and return
Answer:
C
Step-by-step explanation:
I took the test
A teacher works for a textbook company during the summer. She makes $35 per page to write the material and $25 per page to type it. The teacher would like to earn at least $3200, but does not want more than 120 pages of work. Let "x" represent the number of pages written and "y" represent the number of pages typed. Write a system of inequalities to represent this situation.
Answer:
$35 x + $25 y ≥ $3200 x ≤ 120
Step-by-step explanation:
Because she needs to write before type the page, so that y≤x
∴ x≤120
$35 x + $25 y ≥ $3200 x ≤ 120
Final answer:
The system of inequalities for the teacher's summer work with the textbook company is 35x + 25y \\( ext{≥}) 3200, x + y \\( ext{≤}) 120, x \\( ext{≥}) 0, and y \\( ext{≥}) 0, where x is pages written and y is pages typed.
Explanation:
The system of inequalities to represent the situation where a teacher works for a textbook company during the summer, earns $35 per page for writing the material and $25 per page for typing, wants to earn at least $3200, and does not want more than 120 pages of work would be:
35x + 25y \\( ext{≥}) 3200
x + y \\( ext{≤}) 120
x \\( ext{≥}) 0
y \\( ext{≥}) 0
Here, x represents the number of pages written and y represents the number of pages typed. The first inequality ensures the teacher earns at least $3200, the second inequality ensures the total number of pages does not exceed 120, and the last two inequalities represent that the teacher cannot write or type a negative number of pages.
f(x) = 2x + 10 g(x) = 1(1.01)x
x y
10 1.00
12 1.01
14 1.02
16 1.03
Which statement BEST compares the growth of the two functions as x approaches [infinity]?
Answer:
D) the value of the exponential function will eventually exceed the value of the linear function.
Step-by-step explanation:
I ATTACHED AN IMAGE WITH THE CORRECT INFORMATION OF THE QUESTION.
To know which is the correct answer we can calculate some other values of f(x) and g(x) for higher values of x:
f(100)=210 g(100)=7.31
f(1000)=2010 g(1000)=20959.15
f(10000)=20010 g(10000)=1.63e^43
As we can observe, g(x) eventually will exceed to f(x). This is noticed when x = 1000, where g(1000)>f(1000).
Hence, the answer is:
D) the value of the exponential function will eventually exceed the value of the linear function.
What is the measure of angle K?
102°
118°
134
156°
Answer:
118!
Step-by-step explanation:
On edge 2020
Ryan is using tiles in his bathroom. He chooses 1" x 2" tiles for the border and would like tiles that are similar to the border as the interior tiles. Interior tiles will be larger by scale factor of 3.5. What are the dimensions of the interior tiles?
Answer:
The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".
Step-by-step explanation:
Since the interior tiles must be 3.5 larger then the border tiles to calculate the dimensions of the interior tiles we first need to find the area of the border tiles. This is shown bellow:
area border = 1*2 = 2 inches²
The area of the interior tiles is 3.5 larger than that, so we have:
area interior = 2*(area border) = 2*3.5 = 7 inches²
In order to maintain the same proportions as the border tiles we must find a width that is two times the height, so we have:
area interior = width*height = 2*height*height = 2*height²
7 = 2*height²
height² = 3.5
height = sqrt(3.5) = 1.871
width = 2*height = 2*1.871 = 3.74166
The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".
The interior tiles that Ryan wants to use in his bathroom will have dimensions of 3.5 inches by 7 inches.
Ryan is using 1" x 2" tiles for the border of his bathroom and wants to use similar tiles for the interior that are larger by a scale factor of 3.5.
To calculate the dimensions of the interior tiles, you simply multiply the dimensions of the border tiles by the scale factor. Therefore, the dimensions of each interior tile will be:
2 inches (width of border tile) x 3.5 = 7 inches (width of interior tile)
Can someone help me please?
Answer:
64°
Step-by-step explanation:
In circle with center P, AD is diameter.
[tex] \therefore m\angle DPE + m\angle APE = 180\degree \\
\therefore (33k-9)\degree + 90\degree = 180\degree \\
\therefore (33k-9)\degree = 180\degree -90\degree \\
\therefore (33k-9)\degree = 90\degree \\
\therefore 33k-9 = 90\\
\therefore 33k= 90+9\\
\therefore 33k= 99\\
\therefore k= \frac{99}{33}\\
\therefore k=3\\
m\angle CPD = (20k +4)\degree \\
\therefore m\angle CPD = (20\times 3 +4)\degree \\
\therefore m\angle CPD =(60+4)\degree \\
\therefore m\angle CPD =64\degree \\
m\overset {\frown}{CD} = m\angle CPD\\
\therefore m\overset {\frown}{CD} = 64\degree
[/tex]
what’s the probability of p(7)
Answer:
The question not complete
What equation represents a circle with a center at (-3, -5) and a radius of 6 units
Answer:
(x+3)^2 + (y +5)^2 = 36
Step-by-step explanation:
We can write the equation of a circle with the formula
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -3)^2 + (y - -5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 36
Answer:
D; (x + 3)^2 + (y + 5)^2 = 36
Step-by-step explanation:
correct on edge
What is the constant of proportionality x 1 and y 0.5
Answer:
k = 0.5
Step-by-step explanation:
Constant of Proportionality is k = y/x
k = 0.5/1 = 0.5
It costs 100 dollars for 20 cookies. +
What is the price of one cookie?
Answer:
$5
Step-by-step explanation:
First you divide the 2 numbers you know.
100/20= 5
And if your not sure then you can multiply it.
5x20=100
A butcher shop sells ground meat in 3/4 pounds packages. If the shop has 24 pounds of meat available to sell, how many packages of ground meat are for sale ?
32 packages of ground meat are for sale
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that A butcher shop sells ground meat in 3/4 pounds packages
the shop has 24 pounds of meat available to sell,
We need to find the number of packages of ground meat are for sale .
To find this we have to divide 24 by 3/4
24/(3/4)
The denominator is multiplied to numerator by rationalising.
24×4/3
Twenty four times of fraction four by three.
32
Hence, 32 packages of ground meat are for sale
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There are 32 packages of ground meat for sale.
Explanation:To find the number of packages of ground meat for sale, we need to divide the total pounds of meat available by the weight of each package.
Given that each package weighs 3÷4 pounds and the shop has 24 pounds of meat available, we can divide 24 by 3÷4 to find the number of packages.
Dividing 24 by 3÷4 is the same as multiplying 24 by the reciprocal of 3÷4, which is 4÷3. Therefore, there are 24 × (4÷3) = 32 packages of ground meat for sale.
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What is 3x+2y=15 y=6x
Final answer:
The solution to the system of equations is x = 1 and y = 6.
Explanation:
The given equations are:
3x + 2y = 15
y = 6x
To solve this system of equations, we can substitute the value of y from the second equation into the first equation:
3x + 2(6x) = 15
3x + 12x = 15
15x = 15
x = 1
Substituting the value of x into the second equation to find y:
y = 6(1)
y = 6
So, the solution to the system of equations is x = 1 and y = 6.
from the top of an 800 foot tall car talk tower, tom sees a plane; the angle of elevation is 67 degrees. at the same instant tay who is on the ground one mile from the building notes that his angle of elevation to the plane is 81 degrees and that his angle of elevation to the top of the tower is 8.6. assuming that tom and ray and the airplane are in a plane perpendicular to the ground, how high is the airplane
The airplane is approximately 33,336.6 feet above the ground. This calculation is based on Ray's perspective from 1 mile away with an 81-degree angle of elevation to the plane. The calculated height difference between the plane and the top of the tower is approximately 1,598.5 feet.
To solve this problem, we can use trigonometry to set up a system of equations with the given angles and the known height of the tower. We'll use the following steps:
1. Use Ray's angle of elevation to the plane (81 degrees) and his distance from the tower (1 mile, which is 5280 feet) to find the height of the plane from the ground.
2. Use Ray's angle of elevation to the top of the tower (8.6 degrees) with the same distance to find the height difference between the tower and the plane.
3. Add the height of the tower to the height difference found in step 2 to get the total height of the plane from the ground.
Let's denote the height of the plane from the ground as ( h ) and the horizontal distance from Ray to the point right below the plane as ( d ). We know that [tex]\( \tan(81^\circ) = \frac{h}{5280} \)[/tex] and [tex]\( \tan(8.6^\circ) = \frac{800}{5280} \)[/tex].
Let's calculate ( h ) using these equations.
The airplane is approximately 33,336.6 feet above the ground. This calculation is based on Ray's perspective from 1 mile away with an 81-degree angle of elevation to the plane. The calculated height difference between the plane and the top of the tower is approximately 1,598.5 feet.
X² - 24x + c
Find the answer for C.
Answer:
[tex]c=-x^{2} +24x[/tex]
Step-by-step explanation:
Subtract on both sides to isolate c.
[tex]x^{2} -24x+c\\x^{2} -24+c-c=-c\\x^{2} -24+0=-c\\x^{2} -24x=-c\\-c=x^{2} -24x[/tex]
Have c be in positive form.
[tex]-c=x^{2} -24x\\(-)(-c)=(-)(x^{2} -24x)\\c=-x^{2} +24[/tex]
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \cos(\theta_1)=\dfrac{3}{8}cos(θ 1 )= 8 3 cosine, (, theta, start subscript, 1, end subscript, ), equals, start fraction, 3, divided by, 8, end fraction . What is the value of \sin(\theta_1)sin(θ 1 )sine, (, theta, start subscript, 1, end subscript, )? Express your answer exactly.
Answer:
[tex]\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]
Step-by-step explanation:
The angle [tex]\theta_1[/tex] is located in Quadrant I and [tex]\cos(\theta_1)=\frac{3}{8}[/tex]
From Trigonometric ratio, In the First Quadrant
[tex]\cos \theta=\frac{Adjacent}{hypotenuse}[/tex]
Adjacent =3, Hypotenuse =8
Using Pythagoras Theorem
[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\8^2=Opposite^2+3^2\\Opposite^2=64-9=55\\Opposite=\sqrt{55}[/tex]
Therefore:
[tex]\sin(\theta_1)=\frac{Opposite}{Hypotenuse}\\\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]
Find the perimeter of the rectangle. The drawing is not to scale.
29 ft
66 ft
Answer: 190
Step-by-step explanation: The perimeter is the measurement of every side. So multiply 29 by 2 To get 58 since there is two sides with that length. You'd then multiply 66 by 2 to get 132 For the same reason, and then finally add both of those together to get 190
Albert has £500 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 5 years. How much interest will he have earned after 5 years?
Answer:
He'll earn 125 in interest after 5 years.
Step-by-step explanation:
Since it's a simple interest rate, we can use the formula to calculate the amount of interest he'll earn in those years. We have:
C = P*i*t
Where C is the amount of interest earned, P is the initial amount invested, i is the interest rate and t is the total time elapsed. For this case we have:
C = 500*0.05*5
C = 2500*0.05
C = 125
He'll earn 125 in interest after 5 years.
How many solutions are there for quadratic graphed below:
Group of answer choices
1 solution
Infinite Solutions
No solutions
2 solutions
Answer:
No solutions
Step-by-step explanation:
The graph does not contact the x axis
There are no real answers for this reason.
Identify which type of sampling is used. The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are picked from the bag.
A) Stratified
B) Systematic
C) Convenience
D) Cluster
E) Simple Random
Answer: E simple random
Step-by-step explanation:
A simple random sample in a statistics is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability
The type of sampling used in this scenario is simple random sampling(E), where each member of the population has an equal chance of being chosen.
Explanation:The type of sampling used in this scenario is simple random sampling(option E).
In simple random sampling, each member of the population has an equal chance of being chosen.
In this case, since the cards are placed in a bag and three names are picked, each card has an equal probability of being selected, making it simple random sampling.
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Jessica is buying several bunches of bananas to make desserts for a fundraiser. She can buy 10 pounds of bananas at Smiths for $14.90 or 8 pounds at Walmart for $12.08. How much would the cost per pound be at Smiths?
Answer:
$1.49 per pound of bananas at Smiths
Step-by-step explanation:
1. 10 pounds is $14.90
2. Find how much one pound costs by dividing 14.90 by 10
3. 14.90/10= 1.49
4. $1.49 per pound of bananas at Smiths
Pls help! I need to know if this is right! 50 points!
A small delivery company can deliver only in a small part of the city. Write an equation for the boundary where the company delivers. and find its radius.
Select the appropriate response:
A) (x+1)2+(y-1)2= 25 radius = 5 miles
B) (x-1)2+(y+1)2= 25 radius = 5 miles
C) (x+1)2+(y-1)2= 25 radius = 10 miles
D) (x-1)2+(y+1)2= 25 radius = 10 miles
Answer: B) (x-1)2+(y+1)2= 25 radius = 5 miles
Step-by-step explanation:
In order to get this answer you see that you are adding a negative to x in the first part then multiplying it by 2. Second, you add y+1 then multiplying it by 2. You get the radius of 25 which equals 5 miles. Look at the graph to also check your answers to the problem.
Answer:
B) (x-1)2+(y+1)2= 25 radius = 5 miles
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
(h,k) = (1, -1)
r = 5
(x - 1)² + (y - -1)² = 5²
(x - 1)² + (y + 1)² = 25
f(n) = 45 • (4/5) ^n-1
The calculated common ratio of the sequence is 4/5
How to determine the common ratio of the sequence
From the question, we have the following parameters that can be used in our computation:
[tex]F(n) = 45 \cdot (\frac45)^{n - 1}[/tex]
By definition:
A geometric sequence is represented as
[tex]F(n) = ar^{n-1}[/tex]
Where, the common ratio is r
By comparison and using the above as a guide, we have the following:
r = 4/5
Hence, the common ratio of the sequence is 4/5
Question
A sequence is defined by F(n) = 45 • (4/5) ^n-1.
What is its common ratio