When should we use explicit formula

Answers

Answer 1
An explicit formula will create a sequence using n, the number location of each term. If you can find an explicit formula for a sequence, you will be able to quickly and easily find any term in the sequence simply by replacing n with the number of the term you seek.
Answer 2
Answer:It defines a term of sequence using their position. They are helpful if we want to find a specific term of sequence without finding all of the previous terms.


Related Questions

A coffe can is 8 inches high and has a diameter of 6 inches. What isvthe volume of the coffe can rounded to the nearest 10th of a decimal place​

Answers

The volume of the coffee can rounded to the nearest 10th of a decimal place is 226. 08 cubic inches

How to determine the volume

It is important to note that the coffee can takes the shape of a cylinder.

The formula for calculating the volume of a cylinder is expressed with the equation;

V = πr²h

This is so as the parameters are enumerated thus;

V is the volume of the cylinderPie (π) takes the constant value of 3.14 or 22/7r is the radius of the cylinderh is the height of the cylinder

Also, r = diameter/2 = 6/2 = 3 inches

From the information given, we have that;

Volume = 3.14 × (3)² × 8

Multiply the values

Volume = 226. 08 cubic inches

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In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC?

In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC?

Answers

Answer:

D. 70°

Step-by-step explanation:

∠BEC is supplementary with ∠BEA

Find the measure of ∠BEA

m∠BEA = 1/2(mCD + mAB)m∠BEA = 1/2(120° + 100°) = 110°

Supplementary angles sum to 180°

m∠BEC + m∠BEA = 180°m∠BEC = 180° - 110° = 70°

Correct choice is D

PLEASE HELP I WILL MARK BRAINLIEST!!!

Select the correct answer
from each drop-down menu.

Brian makes an investment in his company's stock. What does the stock chart say about the stock price today?

The down arrow indicates the stock price has decreased from yesterday's price of $___
at the _____ of the market day.


Option price 1- 66.20 OR 66.26 OR 65.75

Option blank 2- Open OR Close OR High

PLEASE HELP I WILL MARK BRAINLIEST!!!Select the correct answer from each drop-down menu.Brian makes an

Answers

Answer: $66.20; close

Step-by-step explanation:

The down arrow indicates the stock price has decreased from yesterday’s price of $ 66.20  at the close of the market day.

a circle has the diameter of 42 what is the circumference of that circle

Answers

Answer: 132

Step-by-step explanation:

C=2\(\pi\)r

C=2\(\pi\)21

C=131.88


The number q is rational. Which statement about q- 10 is true

Answers

Answer:

you forgot to add the statements

please help i don’t know what to do :(

please help i dont know what to do :(

Answers

Answer:

x=6

Step-by-step explanation:

3x-6=12

    +6 +6

3x= 18

x= 6

the answer would be x=6 :)

You’d need to add 6 to both sides of the equation, then simplify, then divide, and finally simplify again.

here’s how it would look!

3x=12+6 (add 6 to both sides)

3x=18 (simplifying)

x= 18/3 (dividing both sides by 3)

x=6 (simplifying again to get x)

Rachel's penny bank is 3/10 full. After she adds 440 pennies, it is 4/5 full. How many pennies can Rachel's bank hold?

Answers

Let p = number of pennies we need to find.

(3/10)/(4/5) = p/440

Solve for p to find your answer.

Answer:

880

Step-by-step explanation:

Multiply the numerator and the denominator of 4/5 by 2 so it can be added. Rachel's bank would now be 8/10 full. If 440 pennies made it half full (8/10-3/10= 5/10, which equals 1/2) then 880 pennies (440 times 2) would fill it up completely. Hope this helps!

-throckmorton

5 (-x-1)=x+21 - 6xn what is the solution to the following equation

Answers

To solve the equation 5(-x-1) = x+21 - 6xn, we can start by simplifying both sides of the equation:

5(-x-1) = x+21 - 6xn

-5x - 5 = x + 21 - 6xn

Next, we can gather all the x terms on one side and all the constant terms on the other side:

-5x - x + 6xn = 21 + 5

-6x + 6xn = 26

Factor out x on the left side:

x(-6 + 6n) = 26

Then divide both sides by (-6 + 6n):

x = 26 / (-6 + 6n)

This is the solution to the equation. However, we need to consider one special case: if (-6 + 6n) equals zero, then the denominator is zero, which makes the solution undefined. Therefore, the solution is valid only if (-6 + 6n) is not equal to zero.

In summary, the solution to the equation 5(-x-1) = x+21 - 6xn is x = 26 / (-6 + 6n), where n is any number except n = 1.

Factor \(x^{4} -8x^{2} -9\)

Answers

Answer:

\((x^2+1)(x-3)(x+3)\)

Step-by-step explanation:

x^2^2 - 9x^2 + 1x^2 - 9

= x^2(x^2 - 9) + 1(x^2 - 9)

= (x^2 + 1)(x^2 - 9)

= (x^2 + 1)(x-3)(x+3) <- (This is due to the a^2-b^2 theorem)

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

answerrrrrr plssss ill giveee brainliesttttt

answerrrrrr plssss ill giveee brainliesttttt

Answers

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

The weight w of a person in kilograms and the person's height h in meters are related by the equation In (10w) = 4.6 +3lnh If In 2 = 0.6 In 3 = 1.1 and In 5 = 1.6 then what is the height of a person whose weight is 60kg? ​

Answers

The equation states that In (10w) = 4.6 + 3lnh, so we can rewrite it as ln (10w) = 4.6 + 3lnh.

We can then use the property of logarithms that states that ln (a^b) = b ln a to rewrite the equation as ln (10^(10w)) = 4.6 + 3lnh.

This simplifies to 10w = 4.6 + 3lnh, or w = (4.6 + 3lnh)/10.

Substituting the given value of w = 60, we get 60 = (4.6 + 3lnh)/10.

Solving for h, we find that h = e^((60 - 4.6)/3).

To find the value of h, we need to use the given information about the logarithms of 2, 3, and 5. We know that In 2 = 0.6, In 3 = 1.1, and In 5 = 1.6, so we can rewrite the expression for h as:

h = e^((60 - 4.6)/3) = e^(55.4/3) = e^(18.466666666666665)

We can use the fact that e^(In x) = x to rewrite this expression as:

h = 2^(18.466666666666665/0.6) = 3^(18.466666666666665/1.1) = 5^(18.466666666666665/1.6)

We can then use the given values of In 2, In 3, and In 5 to find that h = 2^30.777 = 3^16.727 = 5^11.541.

Since the height h is in meters, the final answer is h = 30.777 meters.

78-68+9=
BODMAS
b= brackets
o= orders
d= division division and multiplication left to right
m= multiplication
a= addition
s= subtraction addition and subtraction left to right

Answers

Answer:

29

Step-by-step explanation:

u don't need pemdas for this one


if you subtract first you get 19

if you add first 1

Find KM in this segment .

Find KM in this segment .

Answers

Answer:

164

Step-by-step explanation:

7x + 24 = 6x - 20 + 64

7x - 6x = 64 - 20-24

x = 64 - 44

x = 20

KM = 7x + 24 = 7*20 + 24 = 140 + 24

KM = 164

The shapes are similar. Find the value of x.

The shapes are similar. Find the value of x.

Answers

\( \frac{5}{4} = \frac{15}{x + 5} \\ \\ \to \: x + 5 = \frac{15 \times 4}{5} \\ \\ \to \: x + 5 = 3 \times 4 \\ \\ \to \: x + 5 = 12 \\ \\ \to x = 12 - 5 \\ \\ \to \: x = 7\)



Maggie and Mikayla want to go to the music store near Maggie's house after school. They can walk 3.5 miles per hour and ride their bikes 10 miles per hour.


d. Maggie's mom says they can only go if they can make it to the music store and back in less than two hours. If they want to spend at least 30 minutes in the music store and it is four miles away, can they make it? Should they walk or ride their bikes? Explain your reasoning.

Answers

Maggie and Mikayla can make it to the music store and back in less than two hours if they choose to ride their bikes.

To determine whether Maggie and Mikayla can make it to the music store and back in less than two hours, we need to consider the time it takes for them to travel to the store, the time they spend in the store, and the time it takes for them to return home. Additionally, we need to compare the walking speed of 3.5 miles per hour with the biking speed of 10 miles per hour.

First, let's calculate the time it takes for them to travel to the music store. The distance from Maggie's house to the store is four miles. If they walk at a speed of 3.5 miles per hour, it would take them:

Time = Distance / Speed

Time = 4 miles / 3.5 miles per hour

Time ≈ 1.14 hours

So, it would take them approximately 1.14 hours or 1 hour and 8 minutes to walk to the music store.

Next, let's consider the time they want to spend in the music store. They want to spend at least 30 minutes there, which is equivalent to 0.5 hours. Now, let's calculate the time it takes for them to return home. If they walk at a speed of 3.5 miles per hour, it would take them:

Time = Distance / Speed

Time = 4 miles / 3.5 miles per hour

Time ≈ 1.14 hours

So, it would also take them approximately 1.14 hours or 1 hour and 8 minutes to walk back home.

To determine whether they can make it in less than two hours, we add up the time for each component: travel time to the store (1.14 hours), time spent in the store (0.5 hours), and travel time back home (1.14 hours).

Total Time = 1.14 hours + 0.5 hours + 1.14 hours

Total Time ≈ 2.78 hours

Based on this calculation, it would take them approximately 2.78 hours or 2 hours and 47 minutes to complete the trip if they choose to walk.

Therefore, they should consider riding their bikes instead of walking. Let's calculate the time it takes for them to travel to the music store using their bikes. The distance remains four miles, but now they can ride at a speed of 10 miles per hour:

Time = 4 miles / 10 miles per hour

Time = 0.4 hours or 24 minutes

So, it would take them approximately 0.4 hours or 24 minutes to ride their bikes to the music store.

Now, let's recalculate the total time considering biking as the mode of transportation:

Total Time = 0.4 hours + 0.5 hours + 0.4 hours

Total Time = 1.3 hours or 1 hour and 18 minutes

With biking, they would be able to complete the trip within the given time constraint of two hours. The total time required would be approximately 1.3 hours or 1 hour and 18 minutes, which is well below the two-hour limit.

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One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. which statements about the two rectangular solids are true? check all that apply.

Answers

The correct statements about the solids are:

(A) The bases are congruent.(D)The volume of the first solid is twice as much as the volume of the second solid.(E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more.

What are solids?Solid geometry or stereometry is the standard name for the geometry of three-dimensional Euclidean spaces in mathematics. Stereometry is concerned with the volume measurements of various solid forms, such as pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones, and balls bordered by spheres.

To find which statements are correct:

Congruent base: This is used to indicate that the triangles' bases are the same and that they have the same shape.

The volume of the first triangle is: \(2x^{2} h\)

The volume of the second triangle is: \(x^{2} h\)

Therefore, the correct statements about the solids are:

(A) The bases are congruent.(D)The volume of the first solid is twice as much as the volume of the second solid.(E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more.

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The complete question is given below:
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.

A) The bases are congruent.

B) The solids are similar.

C) The ratio of the volumes of the first solid to the second solid is 8:1.

D)The volume of the first solid is twice as much as the volume of the second solid.

E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more

surface area than the second solid.

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Answer the questions to solve this problem using a system of equations.

















2. Write an equation to represent the number of pages Jesse has read.

Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read. (1 point)
















3. Write the system of equations using your answers from questions 1 and 2.
(2 points)
















4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution. (2 points)
















5. Solve the system of equations. Show your work. (2 points)
















6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read? (2 points)

















Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. Apex Learning ® and the Apex Learning Logo are registered trademarks of Apex Learning Inc.

Answers

It will take 6 days for them to have read the same amount, which is of 210 pages.

How to define the linear functions?

Linear functions are used in this problem as both Jesse and Amir read a constant rate.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The slope m represents the rate of change.The intercept b represents the initial amount.

Thus the slope and the intercept for this problem are given as follows:

Slope: number of pages read per day.Intercept: number of pages read on the Sunday that Amir started.

Thus the functions are given as follows:

Jesse: 30 + 30x. (he started one day earlier, hence he would have already read 30 pages).Amir: 35x.

Then the same amount is found when:

35x = 30 + 30x

5x = 30

x = 6 days.

The number of pages is of:

35 x 6 = 210 pages.

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Donna purchased a prepaid phone card for $15. Long distance calls cost 8 cents a minute using this card. Donna used her card only once to make a long distance call. If the remaining credit on her card is $11.08, how many minutes did her call last?​

Answers

Answer:

49 mins

Step-by-step explanation:

11.08=15-0.08x

11.08-15=-0.08x

-3.92=-0.08x

x=49

Find each numbered angle measure:

Find each numbered angle measure:

Answers

Answer:

m∠1=77°

m∠2=36°

m∠3=30°

Step-by-step explanation:

First, find angle 1 by adding 66 and 37 and subtracting them from 180 because there are 180 degrees in an angle.

180-(66+37)=77°

You can then find angle 2 by finding the other angle not given. You can find this angle by subtracting 77 from 180, giving you 103. To find angle 2, add 103 and 41 and subtract them from 180.

180-(103+41)=36°

You can then find angle 3 by adding the angle 103 and the angle 47, and subtracting them from 180

180-(103+47)=30°

can somebody help me with this pls?

can somebody help me with this pls?

Answers

Step-by-step explanation:

Let the number is n.

The product of n and 10 is:

P = 10n

Which two points on the number line represent numbers that can be combined to make zero?

B and D
A and B
C and D
A and C

Answers

where is the number line

What is the binomial probability formula used for?

Answers

The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

Predicting the probability of a certain number of defective products in a production runEstimating the likelihood of a certain number of people out of a sample having a particular characteristicAnalyzing the probability of winning a certain number of games in a sports season

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can someone help with this please !! ​

can someone help with this please !!

Answers

The equation of the line that is perpendicular to the equation is y = -1/5x

What is the slope and y - intercept

The given line has a slope of 5, which means that any line perpendicular to it will have a slope that is the negative reciprocal of 5. The negative reciprocal of 5 is -1/5.

Let m be the slope of the line perpendicular to y = 5x - 2. Then, the equation of this line can be written in point-slope form as:

y - y1 = m(x - x1)

where (x1, y1) is the point where the line passes through, which is the origin in this case. So, we have:

y - 0 = (-1/5)(x - 0)

Simplifying this equation, we get:

y = (-1/5)x

Therefore, the line perpendicular to y = 5x - 2 and passing through the origin has a slope of -1/5 and a y-intercept of 0. Its equation is y = (-1/5)x.

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we want to find a 95% confidence interval for the standard deviation of a large dataset, given a sample. can the bootstrap method be used? group of answer choices

Answers

The Bootstrap Method is straightforward and straightforward to comprehend. First, it chooses randomly from the original sample to produce bootstrap samples from our initial sample.

After that, it uses summary statistics like variation, standard deviation, mean, and so on to get replicates, which is how we can calculate a confidence interval from that sample.

Thus, the answer is "Yes."

The bootstrap method is a resampling method that uses replacement sampling to estimate population statistics. It can be used to estimate standard deviation and mean summaries.

Which scenarios call for the use of bootstrapping?

Remember that bootstrapping isn't only valuable for computing standard blunders, it can likewise be utilized to build certainty spans and perform speculation testing. When working with data that doesn't seem to lend itself to conventional methods, always remember bootstrapping techniques.

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Full Question = We want to find a 95% confidence interval for the standard deviation of a large dataset, given a sample.

Can the bootstrap method be used?

Group of answer choices

yes

no

find the missing length for the following trapezoid​

find the missing length for the following trapezoid

Answers

Answer:

KL = 18

Step-by-step explanation:

The midsegment TU is half the sum of the parallel bases , that is

\(\frac{KL+JM}{2}\) = TU

\(\frac{KL+34}{2}\) = 26 ( multiply both sides by 2 )

KL + 34 = 52 ( subtract 34 from both sides )

KL = 18

From a point on the ground 47 feet from the foot of a tree, the angle of elevation to the top of the tree is 35º. Find the height of the tree to the nearest foot.

Answers

Answer:

Step-by-step explanation:

49.4 degrees

Step-by-step explanation:

In Triangle AXY,

We want to determine the angle of elevation from the point  is standing to the top of the flagpole, which is the angle at V in the diagram.

In Triangle XVY

|VY|=36 feet

Therefore, the angle of elevation from the point  is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

I think i might of clicked on gthe wrong question sorry

an eight-digit integer is formed by repeating a positive four-digit integer. for example, $25,632,563$ or $60,786,078$ are integers of this form. what is the greatest common divisor of all eight-digit integers of this form?

Answers

The greatest common divisor for all eight digit integer is 10001

How to find greatest common divisor?

The greatest positive number that is a common factor of both the positive integers (a, b) is what is known as the greatest common divisor for a set of positive integers (a, b) (a, b). Since 1 is always the least positive integer that any two numbers have in common, the GCD of any two integers is never negative or zero. The two numbers' greatest common divisor can be found in one of two ways:

The common divisors are discovered

Utilizing Euclid's algorithm

Any number written in the form of abcdabcd can we written as

(abcd * 10000) + abcd

abcd ( 10000 + 1)

abcd ( 10001)

∴ The greatest common divisor of all eight- digit number is 10001

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Three more than a certain number is six less than four times
the same number. What is the number?

Answers

Answer:

number is 3

Step-by-step explanation:

let n be the number , then 3 more than the number is n + 3 and six less than 4 times the number is 4n - 6 , so

4n - 6 = n + 3 ( subtract n from both sides )

3n - 6 = 3 ( add 6 to both sides )

3n = 9 ( divide both sides by 3 )

n = 3

the number is 3

The sum of three numbers is 100. The first number is 5 more than the second. The third number is 3 times the second. What are the numbers?

The sum of three numbers is 100. The first number is 5 more than the second. The third number is 3 times

Answers

Answer: first number = 24

second number = 19

third number = 57

Explanation:

Let the second number be x. From the information given,

the first number is 5 more than the second. This means that

the first number is x + 5

The third number is 3 times the second. This means that

the second number is 3x

If the sum of the three numbers is 100, it means that

x + 5 + x + 3x = 100

5x + 5 = 100

5x = 100 - 5 = 95

x = 95/5

x = 19

The first number = 19 + 5 = 24

The second number = 19

the third number = 3 * 19 = 57

What is the simplified form of the fraction below 14/49

Answers

Answer:

That would be 2/7.

Step-by-step explanation:

By finding the GCD between 14 and 49, you can reduce the fraction.

The GCD between 14 and 49 is 7.

By dividing both 14 and 49 by 7, you'll reduce your answer.

14/49 ---> 2/7

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An especially innovative aspect of the electoral campaign in 1840 was the effective mobilization of women to support their cause by which party? Order from greatest to least. 4. -4. 9. -7 * John works at a one story steakhouse. On the busiest day, he disappeared. The boss called the police. The police three suspects. The trainee server said: "I last saw john parking his bike outside." The chef said: "I last saw John in the kitchen getting orange juice. The cook said: "I last saw john go upstairs." Who is it? 2. The Egyptians learned how to steer horse-drawn chariots from the Hittites.True o false programs in other processes should not be able to reference memory locations in a process for reading or writing purposes without permission. true or false? Southeast Asia and Oceania are regions with a lot of water, but who controls it? If the body of water is inland, ownership is quite clear. For 96.5% of the world's water that's held in oceans, however, ownership is much less clear. 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The company pays 70 percent of accounts payable in the month of purchase and the remaining 30 percent in the month following purchase.RequiredPrepare an inventory purchases budget for April, May, and June.Determine the amount of ending inventory Baird will report on the end-of-quarter pro forma balance sheet.Prepare a schedule of cash payments for inventory for April, May, and June.Determine the balance in accounts payable Baird will report on the end-of-quarter pro forma balance sheet.Prepare an inventory purchases budget for April, May, and June.Inventory Purchases BudgetAprilMayJuneBudgeted cost of goods sold$69,000$79,000$89,000Plus: Desired ending inventoryInventory needed69,00079,00089,000Required purchases (on account)$69,000$79,000$89,000Determine the amount of ending inventory Baird will report on the end-of-quarter pro forma balance sheet.Ending inventoryPrepare a schedule of cash payments for inventory for April, May, and June. 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