What is the next fraction in this sequence?Simplify your answer.
1/2, 4/7, 9/14, 5/7,....

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\displaystyle\\\frac{1}{2},\ \ \frac{4}{7},\ \ \frac{9}{14},\ \ \frac{5}{7} ,\ \ ... \\\\\frac{1*7}{2*7} ,\ \ \frac{4*2}{7*2} ,\ \ \frac{9}{14}, \ \ \frac{5*2}{7*2} ,\ \ ...\\\\\frac{7}{14},\ \ \frac{8}{14} , \ \ \frac{9}{14},\ \ \frac{10}{14},\ \ \frac{11}{14},\ \ ...,\ \ \frac{6+n}{14} , \ \ n=1,\ 2,\ 3,\ ...[/tex]


Related Questions

You're flying from joint base lewis-mcchord (jblm) to an undisclosed location 18 km south and 122 km east. mt. rainier is located approximately 56 km east and 40 km south of jblm. if you are flying at a constant speed of 800 km/hr, how long after you depart jblm will you be the closest to mt. rainier? convert hours into minutes in the final solution.

Answers

After you depart jblm you will be the closest to mt. rainier after 4 minutes 35.5 seconds

The distance from JBLM to Mt. Rainier is found using the Pythagorean theorem:

 d = √((56 km)² +(40 km)²) = 8√74 km

The bearing from JBLM to Mt. Rainier is ...

 arctan(40/56) ≈ 35.538°  . . . . .  south of east

The heading of the airplane to its destination is ...

 arctan(289/218) ≈ 8.393°  . . . . .  south of east

Then the difference between these angles is ...

8.393° - 35.538° ≈ -27.145°

and the distance to the point of closest approach is ...

 8√74×cos(-27.145°) ≈ 61.238 . . . . km

The relation between time, speed, and distance is ...

 time = distance / speed

Then the time from JBLM to the point of closest approach is ...

 time = (61.238 km)/(800 km/h) ≈ 0.07654819 h ≈ 4.5928 minutes

≈ 4 minutes 35.5 seconds

To learn more about this, visit: https://brainly.com/question/27957291

#SPJ4

Tìm x biết:
a) (50 − x) + 12 = 31 ; b) 75 ∶ (x − 2) + 4 = 7 ;
c) 125 − 3(x + 3) = 65 ;

Answers

a) (50 - x ) +12 =31
- x + 62 = 31
- x = - 31
x = 31

b) 75 . ( x - 2 ) + 4 = 7
75x - 150 + 4 = 7
75x - 146 = 7
75x = 153
75x/75 = 153/75
x = 51/25
x = 2 1/25

c) 125 -3(x + 3 ) = 65
125 -3x - 9 = 65
3x + 116 = 65
3x = - 51
x = - 17

Combining exponents marking as Brainliest

Answers

Answer:

See below

Step-by-step explanation:

[tex](5^{4})^{2}[/tex]

[tex]5^{3}[/tex] [tex]5^{5}[/tex]

[tex]5^{1}[/tex] [tex]5^{0}[/tex] [tex]5^{7}[/tex][tex]5^{8}[/tex]

Find the measure of LAOC

m LAOC =
Classify LAOC

Answers

30 degrees; acute angle

An equation and some of the steps used to solve the equation are shown below. One step is missing:

2(x-3) + 10x = 5(3 + x)
?
2x-5x + 10x = 15 + 6
7x = 21
x=3

Which set of statements is most likely the missing step and the property that justifies the step?

Answer choices listed in picture(Sorry for quality, taken from my laptop) (Will mark brainliest)

Answers

Answer 5795

Step-by-step explanation:

of the following integers, which is the closest approximation to ​open paren the square root of 2 plus the square root of 5 close paren squared​ ?

Answers

The closest approximation of (√2 + √5)² is 13.

What is the rule of approximation?

If you want to round to one or two decimal places, look at the digit immediately after the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the next digit is 5 or higher.

According to the question, we are Given,

(√2 + √5)²

⇒ 2 + 5 + 2(√2)(√5)                                      (using (a+b)² = a² + b² + 2ab)

⇒ 7 + 2√10

⇒ 7 + 2 × 3.16

⇒ 7 + 6.3

⇒13.3

So, our answer is closest to 13.

To learn more about approximations from given link

https://brainly.com/question/2254269

#SPJ4

Help please if u can show ur work please

Answers

Answer: 28 feet

Step-by-step explanation: The ratio of length to width is 2:1. Add the 2 numbers and it will give you 3. Then, divide 84 by 3 and it will give you 28. Times this by 1 (as the ratio of the width is 1). This will give you 28.

Decompose and use the distributive property to find the product of 10 x 8.53.
83.05 85.3 85.03 83.5

ANSWER QUICK<3333​

Answers

Answer: PLSSSS HELP MEEEE

Step-by-step explanation:

Yesterday Sarah read 15% of her entire book. Today she read another 17% of the entire book.
In lowest terms, what fraction of the book is left for her to read?

a) 7/25

b) 3/10

c) 17/25

d) 7/10



answer quick please!!!!

Answers

i think the answer is 3/10

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.What expressions can Mandisa use to represent the length and width of her yard?

(2x + 2) and (5x – 7)
(5x – 2) and (2x + 7)
(x – 2) and (10x + 7)
(10x + 2) and (x – 7)

Answers

Answer: (x–2) and (10x+7)

Step-by-step explanation:

10x^2 – 13x – 14=

10x^2 – 20x + 7x – 14=

10x(x–2) + 7(x–2)=(x–2)(10x+7) ==> 3rd option

The tax rate on a gallon of gas is 20 c per gallon. If a gallon of gas costs $2.12, what is the amount of the tax paid on a purchase of 10 gallons rounded to the nearest cent?

Answers

$23.2

First Multiply 2.12 by ten to get 21.2, and then we multiply 0.20 by ten to get 2 and then we add both to get 23.2

the length of a rectangle is twice the width if the perimeter is 20 cm find the width

Answers

Answer:

10/3 ( width)

Step-by-step explanation:

the length of a rectangle is twice the width if the perimeter is 20 cm find the width

we can solve with an equation

(2x + x) * 2 = 20

3x * 2 = 20

6x = 20

x = 20 : 6

x = 10/3 ( width)

-----------------------

check                      Remember PEMDAS

(10/3 * 2 + 10/3) * 2 = 20

(20/3 + 10/3) * 2 = 20

30/3 * 2 = 20

60/3 = 20

20 = 20

the answer is good

the perimeters of two squares are in the ratio 2 : 7. What is the ratio of the area of the smaller square to the area of the larger square

Answers

The ratio of the area of the smaller square to the area of the larger square, that have a perimeter ratio of 2:7 is 4:49

According to the given question.

The perimeters of two squares are in the ratio 2 : 7

The perimeter of a square of side x is 4x

The comparative length of the side of each square are 2/4 and 7/4

And, the comparative area are

(2/4)² and (7/4)²

Therefore, the ratios of the areas of the area of the smaller square to the area of the larger square

(2/4)² : (7/4)² = 1/4 : 49/16

⇒ 16×1/4 : 16×49/16

⇒ 4:49

Hence, the ratio of the area of the smaller square to the area of the larger square is 4 : 49

Find out more information about ratio here:

https://brainly.com/question/13419413

#SPJ1

13. Justina wants to buy a cover for the top of
her circular pool, but she doesn't know the
area. If the diameter of the pool is 20 feet,
what is the area of the pool? Use 3.14 for .

Answers

The area of the cover require by Justina to cover the pool is 314 ft²

What is the Area of a circle ?

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

Given,

Diameter, d = 20 ft

radius, r = d/2 = 20/2 = 10 ft

Area of a circle = [tex]\pi[/tex]*r² = 3.14*10*10

= 314 ft²

Therefore, The area of the cover require by Justina to cover the pool is 314 ft².

Read more about Area of a circle at :

https://brainly.com/question/28642423

#SPJ1

Mario uses 14 pound of walnuts to make muffins. he uses the same amount of walnuts in each of 6 muffins. what is the amount of walnuts in each muffin?

Answers

Answer:

he uses 2.33333333333 amount of walnuts in each muffin

Step-by-step explanation:

14 divided by 6 = 2.33333333333

Have a nice day!

Financial statements are of prime importance to , who will use the information to buy or sell stocks of the company. These statements are also inspected by to look into any irregularities or fraud in the book of accounts.

Answers

Answer:

Lydia is preparing financial statements for her company. Who would be interested in the information provided in these financial statements? Financial statements are of prime importance to Investors  who will use the information to buy or sell stocks of the company. These statements are also inspected by an auditor to look into any irregularities or fraud in the book of accounts.

Step-by-step explanation:

Investors

Investors are individuals or firms who offer capital to a business in exchange for a share in ownership and profits. They are external users of financial statements. Investors use financial statements to know what returns to expect from their investments. Existing and potential investors rely on financial reports to decide on whether to buy or sell their shares.

Auditor

An auditor is a skilled individual authorized to assess, evaluate, and validate financial statements' accuracy as prepared by a company.  The auditor reviews and gives a professional and independent opinion on the company's financial affairs.

he brazilian free-tailed bat can travel 99 miles per hour. after sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. how long before these bats cover an area of 80,000 square miles? use π

Answers

The bat colony will cover an area of 80,000 square miles in 1.612 hours.

What is defined as the circle?

A circle is the collection of all the points together in plane that are equally distant from the a given point known as the circle's center. A circle is represented by the symbol. A radius of a circle is a line segment that connects the center of a circle toward any point on the circle.

Now, as per the given question;

The area covered (A) by the colony, evaluated in square miles, is depicted by the mentioned geometrical formula as the bat colony emerges from a cave & spreads out in a circular pattern:

A = π R²

R = the bat's distance from the cave, calculated in miles.

Furthermore, each bat moves at a constant speed, and distance is depicted by the following kinematic formula:

R = r₀ + rΔt

r₀ = The bat's initial distance from the cave, estimated in miles.

r = Bat speed, estimated in miles per hour.

Δt = Time, expressed in hours.

Substitute the value of R in the formula of area.

A = π (r₀ + rΔt)²

(r₀ + rΔt)² = A/ π

(r₀ + rΔt) = √(A/ π)

rΔt = √(A/ π) - r₀

Δt = (√(A/ π) - r₀)/r

r =  99 miles per hour

The distance between the bat and the cave has now been substituted, and time has been cleared:

A = area of 80,000 square miles

π = 3.14

r₀ = 0 miles per hour

Substituting all the values in the A we calculate the time.

Δt = (√( 80,000/3.14) - 0)/99

On solving;

Δt = 1.612 (approx)

Thus, It will take 1.612 hours for the bat colony to cover an area of 80,000 square miles.

To know more about the circle, here

https://brainly.com/question/24810873

#SPJ4

The complete question is-

The Brazilian free-tailed bat can travel 99 miles per hour. after sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. how long before these bats cover an area of 80,000 square miles? use pi = 3.14.

which pair of numbers have a greatest common factor of 7? select each correct answer. 7 and 14 7 and 14 28 and 7 28 and 7 7 and 1 7 and 1 21 and 3

Answers

The numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.

What is the greatest common factor?

The largest factor of the two numbers which divides both the numbers is called as greatest common factor or GCF. In other words, the greatest common factor is the largest positive number which can be divided into given numbers evenly.

Given the number is 7 the pair of numbers having the greatest common factor is calculated below:-

For pairs 7 and 14. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 14.

Similarly for pairs 7 and 28. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 28.

Therefore, the numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.

To know more about the greatest common factor follow

https://brainly.com/question/219464

#SPJ4

Help out please I don’t understand

Answers

Answer:

C. [tex] \frac{ - 15x - 53}{ {x}^{2} + 8x + 15 }≥ 0[/tex]

Step-by-step explanation:

See attached image for explanation

I hope it helps you

Which of the following is not a type of correlation associated with scatterplots?

Answers

The type of correlation not associated with scatterplots is called; an indefinite correlation

What is correlation?

Correlation is also called dependence and is defined as any statistical relationship, whether causal or not, between two random variables or bivariate data.

Correlation can only be between -1 and 1 but not outside these values.

The types of correlation that we have to include:

no correlation

positive correlation

negative correlation

Hence the type of correlation not associated with scatterplots is an indefinite correlation

Read more about correlation at: brainly.com/question/26172866

#SPJ1

Complete question is;

Which of the following is not a type of correlation associated with scatterplots?

A. no correlation

B. positive correlation

C. negative correlation

D. indefinite correlation

a number from 1 to 10. the product of 3 less than this number and 2 more than this number is equal to 14. which equation could be used to solve for kevin's number, x?

Answers

The number is 5, the equation used is [tex]x^{2}[/tex] - x - 20 = 0

Let x be the number which is between 1 to 10.

From the question we get to know the equation:

(x-3)(x +2) = 14

x(x+2) -3(x+2) =14

[tex]x^{2}[/tex] +2x -3x - 6 =14

[tex]x^{2}[/tex] - x - 6 =14

[tex]x^{2}[/tex] - x - 20 = 0

This is the equation used to solve for Kevin's number.

Now we have to find the value of x.

[tex]x^{2}[/tex] - 5x + 4x -20=0

x(x-5) + 4(x-5) = 0

(x-5)(x+4) = 0

x = 5, -4

Hence we get two values of x which is 5, -4. But we have to find the number between 1 and 10.

Hence from the value of 5 and -4 , the number is 5 which is between 1 and 10 as -4 is not in the range of 1 to 10.

To know more about the linear equation refer to the link given below:

https://brainly.com/question/24085666

#SPJ4

The complete question is:

a number from 1 to 10. the product of 3 less than this number and 2 more than this number is equal to 14. which equation could be used to solve for kevin's number, x?

a) [tex]x^{2}[/tex]- x - 6 =0

b) [tex]x^{2}[/tex] - x - 20 = 0

c) [tex]x^{2}[/tex]- 6x + 14 =0

d) [tex]x^{2}[/tex] - x + 8 = 0

guys help rn whats Enter the value for x that makes the equation 1/2 (10x-4)+3x=30

Answers

6x-5y=30. Answer Hope it helps

every morning jim runs for 30 minutes. if jim runs 10 miles per hour, how far does he travel?

Answers

Answer:

5 miles

Step-by-step explanation:

distance = rate times time

distance = (10 miles per hour)( 30 minutes)  30 minutes is equal to 1/2 hour

distance = [tex]\frac{10 miles}{hour}[/tex] [tex](\frac{1 hour}{2} )[/tex]  You can cancel words, like like cancelling numbers  The hours cancel out and you are left with [tex]\frac{10 miles}{2}[/tex]  which is equal to 5 miles.

Answer: 5 miles

Step-by-step explanation:

Jim runs 10 miles per hour, and 30 minutes is half an hour, so divide 10 by 2.

Point Q is on line segment PR. Given PQ=x,QR=6, and PR =2x-10, determine the numberical length of PR

Answers

When Point Q is on line segment PR, if PQ=x,QR=6, and PR =2x-10, then the length of PR is 18 units

Given,

That point Q is on line segment PR

The length of PQ = x

The length of QR = 6

The length of PR = 2x-10

We know,

Point Q is on line segment PR

So, the length of the PR = Length of PQ + Length of QR

Substitute the values in the equation

2x-10 = x+6

2x-x=6+10

x=14

Substitute the value of x in the equation of the length of line PR

PR= 2x-10

=2×14-10

=28-10

=18 units

Hence, when Point Q is on line segment PR, if PQ=x,QR=6, and PR =2x-10, then the length of PR is 18 units

Learn more about length here

brainly.com/question/17281779

#SPJ1

If a circular railroad crossing sign has an area of 254.34 in ^2, what is the diameter of the sign?

Answers

The diameter is 18 inches.

How to calculate the diameter?

It should be noted that the area of a circle is represented by πr². This will be:

πr² = 254.34

(3.14 × r²) = 254.34

3.14r² = 254.34

r² = 254.34/3.14

r² = 81

r = ✓81

r = 9

Therefore the diameter will be:

= 2 × radius

= 2 × 9

= 18

The diameter is 18 inches.

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Answer:

The diameter is 18 inches.

Step-by-step explanation:

Area of a circle formula:

A=πr2 (Area equals pi times radius squared)

254.34/3.14  (3.14 substituted for pi)

=81

square root of 81

=9

9x2

=18

Therefore, the diameter is 18 inches.

Write each set using braces to list the elements, in interval notation, and in set-builder notation. If not possible, explain why

Answers

Answer: B

Step-by-step explanation:

FIND THE ERROR The accuracy of a rain gauge is the positive difference between the amount of
rain in the rain gauge g and the actual amount of rain r. Sam says the absolute value expression
|g| – |r| is equivalent to the accuracy of a range gauge. Is Sam correct? Explain your reasoning.

Answers

Answer:

no

Step-by-step explanation:

i don't think he is correct because it's asking whats the difference between the two

Yo i need help asap can yall help me fast?

Answers

By factor decomposition and algebra properties we conclude that the fraction 42 / 49 is equivalent to the fraction 6 / 7.

Which pair of fractions is equivalent to each other?

According to the statement, we have the equation of a fraction and we need to find the expression by simplify the former expression. In this situation we must use factor decomposition and algebra properties to make simplification effective:

42 / 49                           Given

(2 × 3 × 7) / (7 × 7)          Factor decomposition

(2 × 3) / 7 × (7 / 7)           Commutative and associative properties / Multiplication of fractions

6 / 7 × 1                           Definition of division / Existence of the multiplicative inverse

6 / 7                                 Modulative property / Result

By factor decomposition and algebra properties we conclude that the fraction 42 / 49 is equivalent to the fraction 6 / 7.

To learn more on fractions: https://brainly.com/question/10354322

#SPJ1

factor the expression completely. begin by factoring out the lowest power of each common factor. 10x−1/2 7x1/2 x3/2

Answers

The method of factoring

x^(-1/2) (x + 5)(x + 2)

[tex]10x^{-1/2} + 7x^{1/2} + x^{3/2} = x^{-1/2} (10 + 7x + x^{2} )\\ = x^{-1/2} (x + 5)(x + 2)[/tex]

The method of factoring is critical to the simplification of many algebraic expressions and is a useful device in fixing higher diploma equations. In truth, the process of factoring is so crucial that little or no of algebra beyond this point can be done without information it.

In earlier chapters the difference among phrases and factors has been stressed. You should take into account that phrases are introduced or subtracted and elements are expanded. 3 important definitions follow.

terms arise in an indicated sum or difference. elements arise in an indicated product.

An expression is in factored shape only if the entire expression is an indicated product.

To learn more about factor the expression visit: https://brainly.com/question/20293447

#SPJ4

Which expression uses the GCF and the distributive property to rewrite the sum 42 +72?

A. 6(7 +12)
B. 7(6 + 9)
C. 12(3+6)
D2(40+70)

Answers

Your answer is A, 6x7 is 42 and 6 x 12 is 72

Answer:

A. 6(7 +12)

You need to add the numbers in the parenthisis. Then, multiply 6 with the number.

Other Questions
How did the Assyrian Empire develop? It conquered its neighbors. It traded resources for land. It expanded into harsh living environments. It set up complex systems of government. first 120 km of the road the car is moving at speed rate of 90 kilo meter per hour. next one hour and 15 minute the car is moving at speed rate of 64 kilo meter per hour. what need to be the speed rate for the rest of the road so that speed rate of the whole trip would be 80 kilo meter per hour if 1/8 of the is left? At the Throw Factory, the assembly line produces 122 baseballs in a batch. The baseballs are packaged in boxes with 11 each. If 8 batches are made in one day, how many baseballs will be leftover at the end of it? questionwhich north american region contains more than seven thousand islands? canadian shield canadian shield great plains great plains western region western region caribbean region if a student received 13/15 on their math quiz, what percentage did the student get on that quiz? (round to the nearest whole percentage) Micaela and Elisa each improved their yards by planting rosebushes and geraniums. They bought their supplies from thesame store.Micaela spent $122 on 14 rose bushes and 8 geraniums.Elisa spent $120 on 12 rose bushes and 12 geraniums.What is the cost of one geranium? $1 $7 $3 $5 write the ratio 9:4 in the form n:1 What kind of risks can exist in a business? tff2 also decreases cytokine production, lymphocyte proliferation, and il-1r signaling, a pathway particularly important in chronic inflammatory diseases.88 if i apply newton's 1st law of motion to football, the player carrying or running with the ball will stay running in the same direction unless there are nine blocks in a bag: three red, three white, and three blue. three blocks are selected at random and without replacement. the probability that at least two of the blocks will be different colored is where are relatively prime. what is Find an equation for the line below. Is the language in the following passage formal or informal?Do you know to whom the letter was addressed? Write a short response to summarize the disagreement between any two people or organizations in the article. If you were to support the claims made by only one of these parties, who would it be? why?. A wrongful birth case was recently brought before a court in which a child with smith-lemli-opitz syndrome was born to apparently healthy parents. This syndrome is characterized by a cluster of birth defects including cleft palate, and an array of problems with the reproductive and urinary organs. Originally considered by their physician as having a nongenetic basis, the parents decided to have another child, who was also born with smith-lemli-opitz syndrome. In the role of a genetic counselor, instruct the court about what occurred, including the probability of the parents having two affected offspring, knowing that the disorder is inherited as a recessive trait. great green wall receives over $14 billion to regreen the sahel - france, world bank listed among donors\ -3(x+5)= 3(x-1) solve for x ab - cd=?A=2B=-3C=4D=5 please help!not sure how to find 3 and 4 meaning of the act of determining