The radius of convergence R = 1/b
The radius of convergence for a power series is given by the formula:
1/R = lim sup |bn|^(1/n)
In this case, the radius of convergence is given by:
1/R = lim sup |bn|^(1/n) = lim sup b^(1/n) = b^(1/n) as b > 0.
So R = 1/b
As for the interval of convergence, it is the set of values of x for which the series converges. The series converges when |x-a| < R, and diverges when |x-a| > R. So the interval of convergence is (a-R, a+R) which is (a-1/b, a+1/b)
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Can someone Help me please
Answer:
Step-by-step explanation:
e
Answer:
B
Step-by-step explanation:
Natalie needs the number of tulips to be at least twice the number of lilies. 8 is more than double 3.
And 8 + 3 is less than 12 so it fits both requirements.
College administrators noticed that students who had higher high school GPAs tend to have higher college GPAs. The data in the table show various high school GPAs and college GPAs for a sample of students. A 2-column table with 16 rows. Column 1 is labeled High School G P A with entries 3.25, 3.5, 3.5, 3.25, 2.5, 4, 4, 3.5, 3.25, 3.5, 3.5, 4, 3, 3.5, 2.25, 2.5 Column 2 is labeled College G P A with entries 3.2, 3.0, 2.9, 3.0, 3.0, 3.0, 3.1, 3.1, 3.1, 3.0, 3.0, 3.1, 3.0, 3.1, 2.9, 2.8. Which scatterplot represents the student data? A graph titled high school and college G P A has H S G P A on the x-axis, and College G P A on the y-axis. Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8). A graph titled high school and college G P A has College G P A on the x-axis, and H S G P A on the y-axis. Points are at (2.8, 2.5), (2.9, 2.25), (2.9, 3.5), (3, 2.5), (3, 3), (3, 3.25), (3, 3.5), (3, 4), (3.1, 3.25), (3.1, 3.5), (3.1, 4), (3.2, 3.25). A graph titled high school and college G P A has H S G P A on the x-axis, and College G P A on the y-axis. Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8), (4, 3.2). A graph titled high school and college G P A has College G P A on the x-axis, and H S G P A on the y-axis. Points are at (2.8, 2.5), (2.9, 2.25), (2.9, 3.5), (3, 2.5), (3, 3), (3, 3.25), (3, 3.5), (3, 4), (3.1, 3.5), (3.1, 4), (3.2, 3.25).
Answer:
Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8)
Step-by-step explanation:
Given the data :
Column 1 High School G P A:
3.25, 3.5, 3.5, 3.25, 2.5, 4, 4, 3.5, 3.25, 3.5, 3.5, 4, 3, 3.5, 2.25, 2.5
Column 2 College G P A :
3.2, 3.0, 2.9, 3.0, 3.0, 3.0, 3.1, 3.1, 3.1, 3.0, 3.0, 3.1, 3.0, 3.1, 2.9, 2.8.
To prepare a scatter plot ; with x - axis plotted against y - axis ;
Each point on the x - axis is paired with a corresponding point on the y - axis ;
With high school GPA on the x axis and College GPA on y :
Values are paired in the form:
(X1, Y1),.. (Xn, Yn)
(3.25, 3.2)
Answer:
if your looking at the one with 4 different graphs the answer is A
Step-by-step explanation:
Henry sees a train with 8 cars. Each car has 5 windows
on the side that Henry sees. Which number sentence
can be used to find how many windows Henry sees
on the train in all?
Answer:
(8*5) * 2 = 80
Step-by-step explanation:
So first you want to find how many windows are on the side he sees and then you want to multiply that by 2 to get how many are on the train in total because we are assuming that each side has the same amount of windows so your answer is (8*5) * 2 = 80
Answer:40
Step-by-step explanation:
Well 8x5= 40
Simplify 4.5km:90m
.
Answer:
1km=1000m
so 4.5(1000m)/90m
4500m/90m,we eliminate meter by meter
,4500/90=50
Answer:
50
Step-by-step explanation:
1km = 1000 m
4.5 * 1000 = 4500 m
4500/90 = 50/1 = 50 m
help fast it is due soon
Answer:
1/81/21/201/161282016Answer:
1.) [tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]
2.) [tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{12}[/tex]
3.) [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex]
4.) [tex]\frac{1}{4}[/tex] ÷ 4 = [tex]\frac{1}{16}[/tex]
5.) 3 ÷ [tex]\frac{1}{4}[/tex] = 12
6.) 4 ÷ [tex]\frac{1}{2}[/tex] = 8
7.) 5 ÷ [tex]\frac{1}{4}[/tex] = 20
8.) 4 ÷ [tex]\frac{1}{4}[/tex] = 16
Hope this helps!
Randy grows cherries to sell at local stores. All of the cherries he will sell are in the four boxes shown. Randy wants to send an equal number of pounds of cherries to 4 stores. Enter a fraction that shows how many pounds of cherries each store will receive. Enter your answer as a mixed number
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the 4 boxes are not given.
However, the general explanation is as follows;
From the question, we understand that Randy wants to send an equal amount to 4 different stores
This implies that, we calculate the average (mean) of the 4 boxes.
This is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
Assume that the number of cherry in the 4 boxes are: 25, 23, 28 and 27
The formula becomes
[tex]Mean = \frac{25 + 23 + 28 + 27}{4}[/tex]
[tex]Mean = \frac{103}{4}[/tex]
This implies that Randy will send 103/4 to each of the 4 stores.
The answer as a mixed number is:
[tex]Mean = 25\frac{3}{4}[/tex]
Answer if yk asap! no links.
Answer:
9
Step-by-step explanation:
Hope it helps
Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related ?
O The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A.
O The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B.
O The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
O The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
To explain this using a formula, we can use the dilation formula. This formula states that for any point (x,y) on the original line (f), when dilated with a scale factor of k and the center of dilation is the origin (0,0), the coordinates of the point on the new line (f') would be (kx, ky).
For point A, which has coordinates (2,0) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point A' on line f' would be (3 * 2, 3 * 0) = (6, 0).
Similarly, for point B, which has coordinates (0,2) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point B' on line f' would be (3 * 0, 3 * 2) = (0, 6).
Since the two lines have the same slope, line f and line f' are parallel.
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what is the value of x?
Answer:
43
Step-by-step explanation:
Sum of any two intieior angles in a triangle equal to the opposite exterior angle. (Therom)
So the interior angle opposite to 80 is also 80
Then
123 - 80 =43
I need help with one problem quick its due next hour show WORK. NO links
x + 3 = 5
Step-by-step explanation:
x + 3 = 5
x=5-3
×=2
Therefore the answer is x=2
What do the following two equations represent? y+1= -4(x - 2) 2x8y = 16
On solving the provided question, we can say that the values of the equation here will be y +1 = 8X 8y = 16 => y = 9.455
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
y+1= -4(x - 2) 2x8y = 16
x = 0
y +1 = 8X 8y = 16
y = 9.455
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How do you find the slope of two points on a graph?
To find the slope of two points on a graph, use the formula:
[tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]
Substitute the coordinates of the two points into the formula and solve for the slope.
Finding the Slope of Two Points on a GraphThe slope of two points on a graph is a measure of how steep the line connecting the two points is. To find the slope, you can use the slope formula: [tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]
This formula requires the coordinates of the two points, which can be found on the graph. Once you have the coordinates, you can substitute them into the formula and solve for the slope. This will give you the slope of the line connecting the two points.
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Where is the graph of inequality 2x 3y 6 lies?
The graph of the inequality 2x+3y>6 is a half-plane the neither contains origin nor the points of the the line 2x+3y=6.
A linear inequality is a mathematical statement involving a linear function and one of the symbols <, >, ≤, or ≥. It represents a range of values for the variables that satisfy the inequality. The solution to a linear inequality is the set of all points that make the inequality true. These points form a region in the coordinate plane, which is known as the solution set. The solution set can be represented graphically as a half-plane, a line, or a combination of lines and half-planes, depending on the inequality.
The graph of the inequality 2x+3y>6 is the set of all points (x,y) that satisfies the inequality 2x+3y>6. It can be represented by a line 2x+3y=6 and all the points on one side of the line. This side is determined by the inequality sign ( > in this case).The side is away from the origin and the line 2x+3y=6 is the boundary line, and all the points on one side of the line satisfy the inequality while all the points on the other side do not.
The line 2x+3y=6's origin and its points are not present on the half-plane that represents the inequality 2x+3y>6.
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What is a no solution answer?
-2x < -6
Hi, can someone please explain this question?
The answer is x > 3 but i do not know how.
Please explain
Answer:
Ans is x<3
Step-by-step explanation:
➜-2x<-6
Multiply (-) on both sides➜2x<6
Divide both sides by 2➜2x/2<6/2
➜x<3
PLEASE HELP QUICKLY! IF 2 ANSWERS I WILL VOTE ONE BRAINLIEST
Answer:
15/3 =5 is the correct answer
What is the volume of the rectangular prism?
Answer:
7/3 x 1 x 3 = 7 yd
Step-by-step explanation:
Multiply all 3 lengths by 1/3 then multiply all of them together since each and every one of those cubes are 1/3.
helpppppppppppppppppppp
Given:
A rectangle with sides 40 and 25.
A circle with radius 8 inside the rectangle.
The area of circle is unshaded.
To find:
The probability that a point (randomly selected) will lie in the unshaded region.
Solution:
The area of the rectangle is:
[tex]A_1=Length\times Width[/tex]
[tex]A_1=40\times 25[/tex]
[tex]A_1=1000[/tex]
The area of the circle is:
[tex]A_2=\pi r^2[/tex]
Where, r is the radius.
[tex]A_2=\pi (8)^2[/tex]
[tex]A_2=\pi (64)[/tex]
[tex]A_2=64\pi[/tex]
[tex]A_2\approx 201.06[/tex]
The probability that a point (randomly selected) will lie in the unshaded region is:
[tex]\text{Probability}=\dfrac{\text{Unshaded region}}{\text{Total region}}[/tex]
[tex]\text{Probability}=\dfrac{A_2}{A_1}[/tex]
[tex]\text{Probability}=\dfrac{201.06}{1000}[/tex]
[tex]\text{Probability}=0.20106[/tex]
Therefore, the required probability is 0.20106.
A woman looking out from the window of a height 30m, observed that the angle of depression of the top of a flagpole was 44°. if the foot of the pole is 25m from the foot of the building and on the same horizontal ground, find, correct to the nearest whole number, the angle of depression of the foot of the pole from the woman
Answer:
here is your answer = 56.7m
A frosting is made of cream cheese and powdered sugar in
the ratio 3:2. If you use 120g of cream cheese, how much
powdered sugar should you use?
Plz help
Answer:
80g
Step-by-step explanation:
Answer:
80g
Step-by-step explanation:
80g
. Mr. Johannsen has a farm with 3 cows, 8 chickens, and some ducks. If the total number of farm animal legs is 40, how many ducks does Mr. Johannsen have on his farm
The number of ducks on the farm is 12 legs / 2 legs/duck = 6 ducks.
To determine this:
Each cow has 4 legs, so the cows have 3 cows * 4 legs/cow = 12 legs.
Each chicken has 2 legs, so the chickens have 8 chickens * 2 legs/chicken = 16 legs.
We know the total number of farm animal legs is 40 legs.
So the number of duck legs can be calculated by subtracting the number of cow legs and chicken legs from the total number of farm animal legs: 40 legs - 12 legs - 16 legs = 12 legs.
Since each duck has 2 legs, the number of ducks on the farm is 12 legs / 2 legs/duck = 6 ducks.
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The quadrilaterals ABCD and JKLM are similar.
Find the length x of JK.
B
K
A
U
S
3. 5
2. 1
3
M
2. 1 L
D
3
c
X
0
X 5 ?
The length x of JK is 3.6 units
Here, quadrilaterals ABCD and JKLM are similar.
We know that the corresponding sides of similar triangles are in proportion.
So, by definition of similar triangles,
AB/JK = BC/KL = CD/LM = AD/JM
To find: the length x of JK
So, consider an equation
AB/JK = AD/JM
Substitute the length of each side in above equation.
4/x = 2/1.8
(4 × 1.8)/x = 2
(4 × 1.8)/2 = x
x = 2 × 1.8
x = 3.6
Therefore, the length of JK = 3.6 units
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Calculate the perimeter of this shape.
10 cm
19 cmi
View One Minute Version
Overview
Penmeters
Type here to search
Answer: If it is a rectangle then the perimeter is 58 cm
Step-by-step explanation:
10x2= 20
19x2= 38
38+20= 58
what is the perimeter of the triangle?
Answer:
Step-by-step explanation:
8,15,15 너 도넛
if the radius of a circle is 4.5, what is the area?
Answer:
63.62 is the area of the circle
Answer:
63.62
Step-by-step explanation:
A= PI x r2 (squared)
= pi x 4.5(squared)
= pi x 20.25
= 63.62 units2
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
Answer:
[tex]A = \sqrt{89}[/tex]
[tex]B = \sqrt{145}[/tex]
Step-by-step explanation:
[tex]1)\ 8^2 + 5^2 = A^2[/tex]
[tex]2)\ A^2 = 64 + 25[/tex]
[tex]3)\ A^2 = 89[/tex]
[tex]4)\ A = \sqrt{89}[/tex]
[tex]1)\ B^2 + 12^2 = 17^2[/tex]
[tex]2)\ B^2 + 144 = 289[/tex]
[tex]3)\ B^2 = 145[/tex]
[tex]B = \sqrt{145}[/tex]
Answer:
a = 9.4
b = 12.0
Step-by-step explanation: For both of these problems, you need to use the Pythagorean Theorum since they are both right triangles, which is represented by the equation a^2+b^2=c^2. In this equation, "c" represents the hypotenuse of the triangle while both "a" and "b" represent the two other sides. In the first triangle, solve the equation 8^2+5^2=c^2 andf in the second triangle, solve the equation 12^2+b^2=17^2 since the hypotenuse is already given.
The box plot summarizes math text scores. What percent of the scored were between 71 and 96? Please hurry! I'm taking a test!
Answer:
i think 83 %
Step-by-step explanation:
GIVING BRAINLIEST AND MANY POINTS FOR ANSWER I BEG PLEASE PLEASE
1. Use the Distributive Property to simplify the expression.
6(5 - q)
Group of answer choices
11 - 6q
11 - q
30 - 6q
1 - q
Answer:
C) 30 - 6q--------------------------
Distributive Property is:
a(b + c) = ab + acApply it to the given expression:
6(5 - q) = 6*5 - 6*q = 30 - 6qThe matching choice is C.
Answer:
[tex] \sf \: c) \: 30 - 6q[/tex]
Step-by-step explanation:
Given expression,
→ 6(5 - q)
Let's simplify the expression,
→ 6(5 - q)
→ 6(5) - 6(q)
→ (6 × 5) - (6 × q)
→ (30) - (6q)
→ 30 - 6q
Hence, option (c) is correct.
A 64 acre coconut farm is arranged in an 8 by 8 array. Mika wants to know the average number of coconut palms on each acre of land. The number in each cell tells how many coconut palms grow on that particular acre
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
Specify median.The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.
Here,
To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:
=> 48 + 38 + 47 + 48+ 43+ 34+ 64+ 54 + 53+ 67 = 443/10 =44.3
Hey fiddle fiddle the medians the middle
You add and divide for the mean
The mode is the one you so the most
And the range is the difference between them
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
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The solution of the given problem of median comes out to be
option (A) 44.3.
What is median?
The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.
Here,
To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:
=> 34 + 51 + 43 + 35 + 52 + 35 + 62 + 38 + 34 + 59 = 443/10 =44.3
Hey fiddle fiddle the medians the middle
You add and divide for the mean
The mode is the one you so the most
And the range is the difference between them
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
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The complete question is:
A 64‐acre coconut farm is arranged in an 8‐by‐8 array. Mika wants to know the average number of coconut palms on each acre. Each cell in the table represents an acre of land. The number in each cell tells how many coconut palms grow on that particular acre.
45 54 40 34 44 66 32 65 66 33 42 36 33 51 50 35 51 45 66 33 47 43 66 61 46 35 48 67 60 59 52 67 46 32 64 35 55 47 61 59 45 48 53 62 55 58 51 41 48 38 47 48 43 34 64 54 53 67 44 59 58 48 62 45
The numbers in green represent Mika's random sample of 10 acres. What is the average number of coconut palms on the randomly selected acres? Round your answer to the nearest tenth. The average number of coconut palms is
A. 44.3
B. 49.3
Distribute and then combine the like terms to simplify each expression.
8f - 6 (-5 - 7f)
please help
Answer: We start by distributing the -6 to the terms inside the parentheses:
8f - 6(-5) - 6(7f)
Then we simplify each term inside the parentheses:
8f + 30 + 42f
Now we combine like terms:
8f + 30 + 42f = 50f + 30
So the simplified expression is 50f + 30
Step-by-step explanation: