need an answer showing work thax!

Need An Answer Showing Work Thax!

Answers

Answer 1

Answer:

Option (a) [tex]\sum_{k=1}^{\infty} \dfrac{3}{k(k+1)}[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{3}{1{\cdot} 2}+\dfrac{3}{2{\cdot} 3}+\dfrac{3}{3{\cdot} 4}+\dfrac{3}{4{\cdot} 5}+....[/tex]

We need to rewrite the sum using sigma notation.

The numerator is 3 in all terms.

At denominator, in first term (1)(2), in second term (2)(3) and so on.

A general term for the denominator is k(k+1).

Sigma notation is :

[tex]\sum_{k=1}^{\infty} \dfrac{3}{k(k+1)}[/tex]

Hence, the correct option is (A).


Related Questions

22.00+27.51+21.33+22.95=
please show me how you got that answer


asap plz help 50 points

Answers

Answer:

93.79

Step-by-step explanation:

22.00 + 21.33 = 43.33

22.95 + 27.51 = 50.46

43.33 + 50.46 = 93.79

Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering

Answers

Answer:

The required equation will be:

200 = 3n + 60  

Step-by-step explanation:

We know the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation

Let 'n' represents the number of students (n).Let 'c' represents the cost budget.

Given that Bea's catering charges $3 per person.

Thus, the slope or rate of change = m = 3 dollars per person

Given that the clean-up fee to cater banquets = $60

In other words, $60 is the initial condition or y-intercept.

Thus, the y-intercept b = 60

Given that the cost budget = c = $200

Thus, the equation becomes

c = mn+b

substituting c = 200, m = rate of cgange = 3, b = 60

200 = 3n + 60            ∵ comparing with y = mx+b

Thus, the required equation will be:

200 = 3n + 60  

The equation that determines the no of students should be 200 = 3n + 60  

Equation need to be used:

Here we assume n be the number of students

And, c be the the cost budget.

So, we know the equation should be formed by applying the following expression

c = mn+b

Here c = 200, m = r = 3, b = 60

Therefore, the equation is 200 = 3n + 60        

Hence, The equation that determines the no of students should be 200 = 3n + 60  

Learn more about an equation here; https://brainly.com/question/18510004

a jeweler makes a necklace using red and blue beads. The jeweler has 24 red beads and 36 blue beads. What is the greatest number of identical bracelets the jeweler if all beads are used?

Answers

Answer:

60

Step-by-step explanation:

24+36

20+30=50

4+6=10

50+10=60

The question is below the screen

Answers

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The square of the length of the tangent segment is equal to the product of lengths from the external common point to the two circle intersections of the secant.

  x^2 = (2)(70+2)

  x^2 = 144

  x = √144

  x = 12

Lana makes eight dollars an hour Plus $12 an hour for every hour overtime. Overtime hours are any hours more than 40 hours for the week create an equation that shows the amount of wages earned, W, for working X hours in a week when there is no overtime

Answers

Answer:

W = $8X

Step-by-step explanation:

Lana makes $8 per hour

Extra $12 an hour for every hour overtime

Overtime are hours more than 40 hours per week

In this case, Lana worked for X hours with no overtime

If W is wages earned for working for X hours , the equation will be;

W= X * $8

W= $8X

which of the following best describes rotational symmetry

Answers

Answer: B

Step-by-step explanation:

A best describes the quality of symmetry, not specifically rotational symmetry.

C applies to that of A.

D applies to flipping an image across an axis.

B specifically outlines the symmetry of an object when rotated, thus B would be the most precise answer.

What is the error in: -6/7 + -1/2 = -12/14 + -7/14 = -19/28 and how do you fix it?

Answers

Answer:

DRFHDFG

Step-by-step explanation:

6=6+4

The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the answer to two decimal places.

Answers

Answer:

14.66 inches

Step-by-step explanation:

Calculation for How far does the tip of the minute hand move in 35 minutes

The tip of a minute hand will always travels at 360 degrees in an hour ( 60 minutes)

Hence, the tip of the minute hand

distance will be calculated using this formula

Circumference of a circle=2*π*Radius* Clock Tip hand movement/Number of minutes per hour

Let plug in the formula

Circumference of a circle==2*π*4 inches*35 minutes/60 minutes

Circumference of a circle= =2*π*4 inches*0.58333

Circumference of a circle==14.659 inches

Circumference of a circle==14.66 inches (Approximately)

Therefore How far does the tip of the minute hand move in 35 minutes will be 14.58 inches

An author writes 9 pages of her book each week. How many pages does she write in 7 weeks? Use a five fact to solve.

Answers

Answer: she writes 63 pages in 7 weeks.

Step-by-step explanation: simple answer you just multiply 9x7=63!

hope this helped.

The number of pages she write in 7 weeks is 63 pages

What is 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 ,

Number of pages she write in a week = 9 pages

Number of weeks she writes = 7 weeks

So , to calculate the number of pages she write in 7 weeks =
Number of pages she write in a week × Number of weeks she writes

Number of pages she write in 7 weeks = 9 × 7

                                                                 = 63 pages

Hence , the number of pages she write in 7 weeks is 63 pages

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I NEED HELP PLEASE Thank youuuu

Answers

Answer:

number 8 is b

Step-by-step explanation:

Distance Formula

[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^2 }[/tex]

(-2,-3) (2,1)   Midpoint (2,1)

[tex]d = \sqrt{(2--2)^2 + (1--3)^2} \\\\d = \sqrt{(4)^2 + (4)^2\\} \\\\d = \sqrt{ 32}\\\\d = 5.7\\[/tex]

Then find the slope.

1- - 3 / 2 - -2 = 4/4 = 1

(or use an online graphing calculator)  

The Points are (6,5)

The measures of the angels of a triangle are show. In the figure below solve for x

Answers

Answer:

54

Step-by-step explanation:

90+36= 126

180-126= 54

Complete the table shown to the right for the population
growth model for a certain country
2004 Population(millions) 42.4
Projected 2022 Population
(millions)____
Projected Growth Rate, k 0.0145
The projected 2022 population is ____ million

Answers

Answer:

2,1

Step-by-step explanation:

Answer: ≈ 55.045

Step-by-step explanation:

The formula is A=Pe^rt

A = (?) projected population

P = 42.4 (current population)

r = 0.0145 (growth rate)

t = 18 (difference between years: 2022 - 2004)

A = 42.4e^0.0145(18)

A = 42.4e^0.261

A = 42.4(1.298227665)

A ≈ 55.045

8 मी० लम्बी, 6. मी० ऊची तथा 22.5 सेमी० मोटी दीवार
बनाने हेतु कितनी ईंटें चाहिए, जबकि एक ईंट का माप
25 सेमी. x 11.25 सेमी० x 6 सेमी०
सेमी०
(A) 640
(B) 1380
(C) 6400
(D) 7600
with process​

Answers

D is the answer to this question

Answer:

I think it might be D too

Step-by-step explanation:

Hope this helped have an amazing day!

For a recent evening at a small, old-fashioned movie theater, 35% of the moviegoers were female and 65% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film: 70% of the females attended the romantic comedy. Among the male moviegoers, the romantic comedy also was more popular: 60% of the males attended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and ¯F denote the event that a randomly chosen moviegoer was male. Let R denote the event that a randomly chosen moviegoer attended the romantic comedy and ¯R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities below, and then answer the question that follows. Do not round any of your responses
P(F)=0.35
P(F and R)=
P(F and ¯R)=
P(¯R|F)=
P(R|¯F)=0.60
P(¯F and R)=
P(¯F and ¯R)=
P(¯F)=
What is the probability that a randomly chosen moviegoer attended the romantic comedy?

Answers

Answer:

[tex]P(F\ and\ R) = 0.21[/tex]

[tex]P(F\ and\ R^{-}) = 0.14[/tex]

[tex]P(R^{-}|F)= 0.40[/tex]

[tex]P(F^{-} and\ R) = 0.39[/tex]

[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]

[tex]P(F^{-}) =0.65[/tex]

Step-by-step explanation:

The variables have been defined in the question as:

[tex]F = Female\ Moviegoer[/tex]

[tex]F^{'} = Male\ Moviegoer[/tex]

[tex]R = Romantic\ Comedy[/tex]

[tex]R^{'} = War\ File[/tex]

Also, we have the following given parameters:

[tex]P(F) = 0.35[/tex]

[tex]P(F^{-}) =0.65[/tex]

[tex]P(R) =0.60[/tex]

[tex]P(R^{-}) = 0.40[/tex]

The solution is as follows:

[tex]a.\ P(F\ and\ R)[/tex]

[tex]P(F\ and\ R) = P(F) * P(R)[/tex]

Substitute values for P(F) and P(R)

[tex]P(F\ and\ R) = 0.35 * 0.60[/tex]

[tex]P(F\ and\ R) = 0.21[/tex]

[tex]b.\ P(F\ and\ R^{-})[/tex]

[tex]P(F\ and\ R^{-}) = P(F) * P(R^{-})[/tex]

Substitute values for P(F) and P(R-)

[tex]P(F\ and\ R^{-}) = 0.35 * 0.40[/tex]

[tex]P(F\ and\ R^{-}) = 0.14[/tex]

[tex]c.\ P(R^{-}|F)[/tex]

[tex]P(R^{-}|F)=\frac{P(R^{-}\ and\ F)}{P(F)}[/tex]

[tex]P(R^{-}|F)=\frac{P(R^{-})\ *\ P(F)}{P(F)}[/tex]

Substitute values for P(F) and P(R-)

[tex]P(R^{-}|F)=\frac{0.40 * 0.35}{0.35}[/tex]

[tex]P(R^{-}|F)= 0.40[/tex]

This implies that both events are independent

[tex]d.\ P(F^{-} and\ R)[/tex]

[tex]P(F^{-} and\ R) = P(F^{-}) * P(R)[/tex]

Substitute values for P(F-) and P(R)

[tex]P(F^{-} and\ R) = 0.65 * 0.60[/tex]

[tex]P(F^{-} and\ R) = 0.39[/tex]

[tex]e.\ P(F^{-}\ and\ R^{-})[/tex]

[tex]P(F^{-}\ and\ R^{-}) =P(F^{-}) * P(R^{-})[/tex]

Substitute values for P(F-) and P(R-)

[tex]P(F^{-}\ and\ R^{-}) =0.65 * 0.40[/tex]

[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]

[tex]f.\ P(F^{-})[/tex]

[tex]P(F^{-}) =0.65[/tex] --- Given

_______________________

Answers

Answer:

C.

Step-by-step explanation:

Solve the system of equations y=x^2-3x+2
y=-9x-3

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(3, 0)
Equation Form:
x = 3, y = 0

Solve the expression. 0.02 × 0.3
A. 0.6
B. 0.06
C. 0.006

Answers

c. 006 is the answer

Once again Plssssssss Help Meh

Answers

Store C is correct answer

Help quickly as possible thank you :) ​

Answers

Answer:

50/100 and .50

Step-by-step explanation:

Answer:

you can write it like 1/2 I don't know the other one sorty

HELP ME FIND THE Y-INTERCEPT

Answers

Answer:

0

Step-by-step explanation:

(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?

Answers

r = 9 in the equation r(6) = 54. You would divide by 6 on both sides to have r by itself giving you r = 9

Answer:

9, 54=6r

Step-by-step explanation:

54/6=9 rocks

54=6r

Perform the indicated operation.
1 1/7x 2 4/5

Answers

Explanation: none




Answer: The answer would be 3.2

Look at the table of values below.
х
у
1
-1
2
-3
3
-5
4
-7
Which equation is represented by the table?
O A. y=1 - 2x
OB. y=-x-1
OC. y = x - 2
OD. y=2x-1

Answers

don’t quote me but i think a

The equation is represented by the table is y= 4x - 1.

What is 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. LHS = RHS is a common mathematical formula.

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.

We have the table

 x    y

 1    3

-1    -5

 2    4

-3   -7

 

Now, using the above table we can write the equation

(y - 3) = (-5-3)/ (-1-1)  (x- 1)

y - 3 = (-8) / (-2) (x -1)

y - 3 = 4 (x - 1)

y - 3 = 4x - 4

y = 4x - 4 +3

y= 4x - 1

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Write the following in standard form: eight and twelve thousandths.

Answers

Answer:

8.012

Step-by-step explanation:

standard : 8.012

written: eight and twelve thousandths.

8.012 hopes this helps

find the length of segment cd, given ab is congruent to cd

Answers

X = 3 so 22 needstobe20characterslong

What is the distance between (-5, 2) and (-9,-4)?
Leave your answer in simplest radical form.

Answers

Answer:

[tex]2\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(-9+5)^2+(-4-2)^2} = \sqrt{(-4)^2+(-6)^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}[/tex]

The distance between (-5, 2) and (-9,-4) is 7.211 units.

What is distance?

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The coordinates of the point (-5, 2) and (-9,-4).

Calculate the distance using the formula given below,

[tex]d = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}[/tex]

d = [tex]\sqrt{[(-9) - (-5)]^2 +[(-4-2)]^2 }[/tex]

d = [tex]\sqrt{-4^2+(-6)^2}[/tex]

d = [tex]\sqrt{16+ 36}[/tex]

d = 7.211 units

Therefore, the distance between (-5, 2) and (-9,-4) is 7.211 units.

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Can someone help me please

Answers

Answer:

7920

Step-by-step explanation:

all you have to do is just multiply the the feet in a mile by how any miles there are so basically

=> 1.5 * 5280 = 7920

Answer:

7,920 ft

Step-by-step explanation:

1.5 miles

1 mile = 5,280 feet

1.5 × 5,280 = 7,920 ft

or

5,280 ÷ 2 = 2,640

2,640 + 5,280 = 7,920 ft

please answer these questions ​

Answers

Step-by-step explanation:

you need to multiple first by second

Suppose that the odds against a particular team winning the Super Bowl are 11 to 1. What is the probability of that team not winning the Super Bowl?

A) 10/11
B) 11/12
C) 1/11
D) 1/12

Answers

Answer:

A) 10/11

Step-by-step explanation:

Because the odds of the team winning are 1/11, the odds of not winning have to be 10/11 in order for it to add to 11/11.

question below thanks

Answers

Answer:

x = 11

Step-by-step explanation:

Based on the two secants intersecting theorem, thus, we have:

(x + 5)*5 = (38 + 2)2

5x + 25 = (40)2

5x + 25 = 80

5x = 80 - 25 (subtraction property of equality)

5x = 55

Divide both sides by 5

x = 11

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