Can someone show me how to answer this question? On paper so I can see the steps clearly.
Thanks!!!

Can Someone Show Me How To Answer This Question? On Paper So I Can See The Steps Clearly. Thanks!!!

Answers

Answer 1

Using the comparison test, we have that [tex]\frac{2}{\sqrt[3]{n}}[/tex] is divergent, as the given sequence [tex]a_n = \frac{1}{n}[/tex] is divergent and [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1.

What is the comparison test for two series?

Suppose that we have two series, defined by [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex], considering that [tex]a_n, b_n \geq 0[/tex] for all n and [tex]a_n \leq b_n[/tex] for all n, then:

If [tex]\sum b_n[/tex] is convergent, then [tex]\sum a_n[/tex] also is convergent.If [tex]\sum b_n[/tex] is divergent, then [tex]\sum a_n[/tex] also is divergent.

For this problem, the sequences are given as follows:

[tex]a_n = \frac{1}{n}, b_n = \frac{2}{\sqrt[3]{n}}[/tex]

Then we have to compare when one of the sequences is greater than another, as we do from the graph at the end of the answer.

From the graph, we have that [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1, and since [tex]\frac{1}{n}[/tex] is divergent, as stated in the problem, then [tex]\frac{2}{\sqrt[3]{n}}[/tex] is also divergent.

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Can Someone Show Me How To Answer This Question? On Paper So I Can See The Steps Clearly. Thanks!!!

Related Questions

The area of a rectangular painting is 1/6 square yard. The width is 2/3 yard. What is the length of the painting use the formula A=e x w

Answers

The length of this rectangular painting is equal to 1/4 yard.

How to calculate the area of a rectangle?

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

A represents the area of a rectangle.W represents the width of a rectangle.L represents the length of a rectangle.

Making L the subject of formula, we have:

L = A/W

Given the following data:

Width of rectangular painting = 2/3 yard.

Area of rectangular painting = 1/6 square yard.

Substituting the given parameters into the formula, we have;

L = 1/6/(2/3)

L = 1/6 × 3/2

L = 3/12

Length, L = 1/4 yard.

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which of the following is a weakness of plotting a scatterplot and drawing a regression line?

Answers

Answer:

A

Step-by-step explanation:

i just did this one

The weakness of plotting a scatterplot is given below

What is a scatterplot?

A scatterplot (also known as a scatter plot, scatter graph, scatter chart, scattergram, or scatter diagram) is a form of plot or mathematical diagram that uses Cartesian coordinates to represent values for a collection of data for generally two variables. One more variable can be presented if the points are coded (color/shape/size). The data is represented as a collection of dots, with the value of one variable defining the horizontal axis and the value of the other variable determining the vertical axis. A scatterplot can be used when one continuous variable is within the experimenter's control and the other is reliant on it, or when both continuous variables are independent.

The weakness of plotting a scatterplot is:

(A) This provides no indication of whether there is cause and effect relationship.

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what are the names of these polygons ?

Answers

Answer:

Types of Polygons

3 sides - Triangle.

4 sides - Quadrilateral.

5 sides - Pentagon.

6 sides - Hexagon.

7 sides - Heptagon.

8 sides - Octagon.

9 sides - Nonagon.

10 sides - Decagon.

The minimum value of Y in the equation y = x2 - 6x + 8

Answers

Given

[tex]y=x^2-6x+8[/tex]

To obtain the minimum value of y, we first take the derivative of y

The derivative of y is:

[tex]y^{\prime}=2x-6[/tex]

Equating

[tex]y^{\prime}\text{ = 0}[/tex]

gives the minimum value we require.

Doing that, we have:

[tex]2x-6=0[/tex]

So that

[tex]\begin{gathered} 2x=6 \\ x=\frac{6}{2} \\ =3 \end{gathered}[/tex]

Therefore, the minimum value is x = 3

Can someone help me with this

Answers

Answer:

650,000÷10^3 = 650

40,000÷10^4 = 4

7,000÷10^2=70

Step-by-step explanation:

first one is 3
second one is 4
third one is 2

ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR CORRECT ANSWER

please only answer b​

Answers

Answer:

Positive Slope, the graph interprets how much it costs to rent a canol per hour.

Step-by-step explanation:

Please help I’ll mark you as brainliest if correct!!

Answers

Answer:

y (y + x)

Step-by-step explanation:

Simplify the following:

y^2 + x y

Factor y out of y^2 + x y:

Answer: y (y + x)

The point (-3,-2) is rotated 180 degrees about the origin. The coordinates of its image are:A. (−3,2)B. (3,2)C. (−2,−3)D. (2,3)

Answers

Given point :

(-3, -2)

When the rotation is about 180 degree about the origin then a point M(h, k)

will become M'(-h, -k)

So, the point (-3, -2) will become (-(-3), -(-2)) that is (3, 2)

Answer : Option (B)

Can someone help me understand this question please and thank you

Answers

The value of x for the given parallel line d || e is x = 20.

What is defined by the term linear pair?Linear pairs of angles are generated when two lines intersect at a single point. If the angles formed are adjacent to one another after the two lines intersect, the angles are referred to as linear. When two angles form a linear pair, their measures add up to 180°. As a result, a linear pair of angles everytime sum to 180°.

From the given question;

The lines d || e.

Thus, both sum of both angles will be 180 by linear pair.

2x - 3 + 7x + 3 = 180

Solving;

9x = 180

x = 20

Thus, the value of x obtained for the given parallel lines is 20.

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What is the position of the other number line below? Write the answer as a fraction or a mixed number

Answers

Given:

Number line is given.

D is point locateed in 2.6 on the number line.

D is in 2.6

Amber sold 23.4 pounds of chocolate. She sells the chocolate for $4.76 per pound. How much money did she collect?

Answers

Answer: She collected $111.38

factor -6 out of 18z-15

Answers

If we factor out -6 from the given expression, then we get the answer as -6(-3z + 5/2).

A factor may be defined as a number of another number which when divided by the other number leaves no remainder or it completely divides the other number. For example, 2 is a factor of 4 as when 4 is divided by 2 the remainder is zero. Now, we are given in the question that we need to factor -6 out of 18z - 15. In order to do that we divide and multiply -6 from the given expression. This can be represented as

-6 × (18z - 15)/(-6)

Further we get

-6 × (-3z + 15/6)

-6 × (-3z + 5/2)

which is the required value.

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The water level in a lake was 22 inches below normal at the beginning of March. The water level decreased by 3 1/6 inches in March and increased by 1 6/7 inches in April. What was the water level compared to normal at the end of April? Enter your answer as a mixed number.

Answers

The water level compared to normal at the end of April is 23 13/42 inches below normal.

How to calculate the fraction?

From the information, the water level in a lake was 22 inches below normal at the beginning of March and rhe water level decreased by 3 1/6 inches in March and increased by 1 6/7 inches in April.

The water level compared to normal at the end of April will be:

= -22 - 3 1/6 + 1 6/7

= - 22 - 3 7/42 + 1 36/42

= -22 - 1 13/42

= -23 13/42

There, it is 23 13/42 below normal.

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What number gives a result of −5 when 8 is subtracted from the quotient of the number and 6?

Answers

Answer: 18

Step-by-step explanation:

n=number

-5=n/6 - 8

-5*6=6(n/6 - 8)

-30=n - 48

48-30=n-48+48

n=18

56 POLES ARE SET 3 METERS APART IN A STRAIGHT LINE.HOW FAR IS IT FROM THE FIRST POLE TO THE LAST

Answers

Answer:

168 meters

Step-by-step explanation:

If each pole is 3 meters apart and there are 56 poles, you will need to multiply 56 x 3 and that will give you how many meters the first pole is from the last pole

Hope this helps

The science club members are using transformations on coordinate grids to track the movement of constellations in the sky. Choose the left side of the constellation depicted by the line passing through​ (1,7) and​ (2.5,1), and find the linear functions that correspond to the series of motions of the side given below.

Answers

The linear function passing through points (1,7) and (2.5, 1) is given by:

y = -4x + 11.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the rule presented below:

y = mx + b

In which the coefficients are described as follows:

The coefficient m is the slope of the function, representing the rate of change of the function.The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

For this problem, the two points that form the function are given as follows:

(1,7) and (2.5, 1).

The slope is given by change in y divided by change in x, hence it is given by:

m = (1 - 7)/(2.5 - 1) = -4.

Then:

y = -4x + b.

When x = 1, y = 7, hence we can find the intercept b of the function as follows:

7 = -4(1) + b

b = 7 + 4

b = 11.

Hence the equation is:

y = -4x + 11.

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The diameter of the bicycle wheels is 22 inches what is the radius of the bicycle wheels what is the circumference of the bicycle wheels what is the area of the bicycle wheels

Answers

The radius, area, and circumference of the given bicycle wheels are:

Radius = 11 inCircumference = 69.14 inArea = 380.29 in

What are the area and circumference of a circle?The circle is a two-dimensional rounded figure in which all the points on the boundary of the circle maintain a fixed distance from a definite point called the center of the circle and the fixed distance is called the radius of the circle.The area of the circle is the total space taken by the circle.If r is the radius of the circle, the area of the circle is calculated by the formula:Area = πr²The circumference of the circle is the length of the boundary of the circle.If r is the radius of the circle, the circumference of the circle is calculated by the formula:Circumference = 2πr

So, the Diameter of the bicycle wheel = is 22 inches

Radius of bicycle wheel = 22/2  = 11 inches

Circumference of a bicycle wheel:

2πr2 × 22/7 × 11184/769.14 in

Area of bicycle wheel = πr²

22/7 × 11 × 112662/7380.29 in

Therefore, the radius, area, and circumference of the given bicycle wheels are:

Radius = 11 inCircumference = 69.14 inArea = 380.29 in

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Question
Find the equation of the line with slope m = - 1/3 and passing through the point (1, 1/3)
(Write the equation in standard form.)
answer has to be in the form ax+by=c

Answers

The equation of the line is x + 3y = 2

What are linear equations?

Linear equations are equations that have constant average rates of change.

How to determine the equation of the line?

The given parameters are

Slope, m = -1/3

Points (x, y) = (1, 1/3)

A linear equation is represented as

y = slope * (x - x₁) + y₁

Where

(x₁, y₁) = (1, 1/3)

Substitute (x₁, y₁) = (1, 1/3) and Slope, m = -1/3 in the equation y = slope * (x - x₁) + y₁

So, we have

y = -1/3* (x - 1) + 1/3

Multiply through by 4

So, we have

3y = -(x - 1) + 1

Remove the brackets

3y = -x + 1 + 1

So, we have

x + 3y = 2

Hence. the linear equation is x + 3y = 2

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Change-4x - 2y = -6 to slope intercept form
(y=mx+b)

Answers

Answer:

Step-by-step explanation:

-4x-2y=-6

-2y=-6+4x

divide by -2

y=3-2x

y=-2x+3

question is in picture :) help me work out this problem

Answers

Given

Since they are similar

[tex]\begin{gathered} \frac{10}{4}=2.5 \\ \\ \\ \\ The\text{ scale factor is 2.5} \end{gathered}[/tex][tex]The\text{ square of scale factor=2.5}^2=6.25[/tex]

Then multiply

[tex]6.25\times30=187.5[/tex]

The final answer

[tex]187.5m^2[/tex]

Tanisha earns $4,000 per month
after taxes. She saves $730. What
percent of her budget is savings?​

Answers

Answer:

18.25%

Step-by-step explanation:

730/4000 = 0.1825

List the measures of the exterior angles for the triangle shown.



exterior angle at 60° interior angle:
°
exterior angle at 65° interior angle:
°
exterior angle at 55° interior angle:
°

Answers

Exterior angle at 60° interior angle is 120°Exterior angle at 65° interior angle is 115°Exterior angle at 55° interior angle is 125°

Given,

The measurements of interior angles of a triangle are given:

60°, 65° and 55°

We have to find the corresponding exterior angles:

We know that exterior and interior angles are supplementary.

That is, the sum of the exterior and interior angle is 180°

So here,

Exterior angle at 60° interior angle:

180° - 60° = 120°

Exterior angle at 65° interior angle:

180° - 65° = 115°

Exterior angle at 55° interior angle:

180° - 55° = 125°

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or
Jacob and Diego are racing to see who can get his community service hours for scouting completed first. Jacob, who has already completed 50 hours, plans to volunteer for 5 hours per week going forward. Diego hasn't started yet, but plans to dedicate 6 hours per week to his volunteer project from now on. Before too long, the boys will be tied, with the same number of volunteer hours. How long will that take?

Answers

Using system of equation, the solution shows that it will take 50 weeks before Jacob and Diego will be tied in the race to complete community service hours for scouting.

As given,

let us assign the unknown quantity (number of weeks) a variable x.

Jacob plans to devote 5 hours per week from now onwards. Hence his volunteer hours will cumulate to 5x+50 as he has already completed 50 weeks.

Diego plans to devote 6 hours per week from now onwards. Hence his volunteer hours will cumulate to 6x.

For Jacob and Diego to tie in the race, their volunteer hours should be equal.

Solution of the  system of equation is given by:

6x = 5x+50

=> 6x-5x = 50

=> x = 50

Therefore, using system of equation, the solution shows that it will take 50 weeks before Jacob and Diego will be tied in the race to complete community service hours for scouting.

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Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45)?

Answers

The estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.

Estimation

Given data  or information :

Actual Product  =  ( – 21.06) (– 30.45)

Now let estimate the product by approximating the product to the nearest tenth.

Approximation :

So,

- 21.06 = - 21.1 ( Approximately )

- 30.45= - 30.5 ( Approximately )

Hence , her estimate can be calculated as :

Estimate :

Estimate =  ( - 21.1) (-30.5)

Estimate = - 643.55

Therefore the estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.

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The complete question is:

Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45

front-end estimation

rounding to the nearest tenth

rounding to the nearest whole number

compatible numbers

-6n ≥ 18 or n+10> 18

Answers

The required result of the given inequality is n≤-3 or n>8.

What is inequality?

Inequality is a relationship between two different quantities or expressions. An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is not equal to

Given, -6n≥18 or n+10>18

-n≤18/6 or n>18-10

n≥-3or n>8

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Need help for solving fox x

Answers

-6 is the value of X

The question can be answered by simply following the rules of angles of geometry. The rule that follows here is:

Rule: Vertically opposite angles are equal i.e whenever two straight lines cross, they create two pairs of equal vertically opposite angles.

Because, both the angles given in the question are vertically opposite to each other

Therefore, angle 80 degree = angle 86 + X

i.e   80 = 86 + X

-->   80 - 86 = X

-->   -6 = X

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I need the answer for these 2

Answers

The inequalities in interval notation are given below

What is an inequality?

An inequality in maths is a relationship that makes a non-equal distinction between two values as well as other mathematical expressions. It is most frequently used to compare the sizes of two digits on a number line. There are multiple formulae used to denote various types of inequalities:
(i) The symbol a < b indicates that a is less than b.

(ii) a > b indicates that a is bigger than b.

In either scenario, a and b are not equivalent. These are characterized as tight inequalities because a is either strictly less than or strictly bigger than b. Equivalence is not permitted. In contrary to rigorous inequalities, there are two forms of non-strict inequality relationships.

The inequalities in interval notation are given below:

(a) (0, 11)

(b) (9, 4]

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Help!
A. 1.5
B. 18
C. 24
D. 15

Answers

Answer:

the answer is B

Step-by-step explanation:

the total cost of renting a car is $35 for each day the car is rented plus 42.5 cents for each mile the car is driven what is the total cost of renting the car for 6 days and driving 350 miles

Answers

The total cost of renting the car for 6 days and driving 350 miles is $358.75 .

What is renting car?
An organisation known as a car rental, hire car, or car hire agency lends out cars to the general public for brief periods of time, typically from a few hours to a few weeks. Usually situated close to airports or busy city centres, it is frequently structured with a number of local branches that let customers return vehicles to multiple locations. A website that allows online reservations is sometimes added on top of this.
Car rental businesses generally cater to customers who need a short-term vehicle, such as those who don't own their own car, tourists who are out of town, or owners of damaged or totaled vehicles who are awaiting repairs or insurance settlement.

The cost of renting the car is $35 for each day .
And for each mile the car is driven we have to pay 42.5 cents .
Therefore 6 days the rent is = $35 x 6
= $210

And for 350 miles we have to pay = 350 x 42.5 cents
= 14875 cents = $148.75
In total $ 358.75

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Over the last three evenings, Karen received a total of 130 phone calls at the call center. The second evening, she received 4 times as many calls as the third evening. The first evening, she received 10 more calls than the third evening. How many phone calls did she receive each evening?


CORRECT ANSWERS ONLY!!! HELP

Answers

The number of phone calls that Karen can be said to have received in these evenings are: 30 , 80 , and 20 calls

How to solve for the phone calls

Wr have x, y , z as the number of phone calls that have been received

Such that

x + y + z = 130

On the second day she received 4 calls more than the 3rd day

y = 4z

On the first evening she had 10 more calls than the last

x = 10 + z

We have to substitute the equations in the first equation

10 + z + 4z  + z = 130

10 + 6z = 130

6z = 120

divide through by 6

z = 20

Then x = 10 + 20

x = 30

y = 4z

= 4 x 20 = 80

Therefore on the first day the phone call was 30 minutes, the second day was 80  and the third was 20

To check, 20 + 30 + 80 = 130. the solution is correct

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