Enter the explicit rule for the geometric sequence ...
60, 12, 12/5, 12/25, 12/125

Answers

Answer 1

Answer:

an = 60 x 1/5^n-1

Step-by-step explanation:

correct me if i am wrong, but I just learned about this stuff so hopefully this helps. The explicit rule/formula is an = a1 x r^n-1. In this formula, a1 is the first term (60), and r is the common ratio (1/5). Now all that is left to do is to write the equation which would be 60 x 1/5^n-1.


Related Questions

subtract 3x-7x³+5x² from the sum of 2+8x²-x³ and 2x³-3x²+x-2​

Answers

Answer:

(2 + 8 x^2 - x^3) + (2 x^3 - 3 x^2 + x - 2) - (3 x - 7 x^3 + 5 x^2) = 8 x^3 - 2 x

Step-by-step explanation:

(2x²+6x-3)+(3x²-8x-6)​

Answers

[tex](2x^2+6x-3)+(3x^2-8x-6)\\\\=2x^2+3x^2+6x-8x -6 -3\\\\=5x^2-2x-9[/tex]

Answer:

3x + 1

 ——————

   2x  

Step-by-step explanation:

https://www.tiger-algebra.com/drill/(3x~2-8x-3)/(2x~2-6x)/

it will give you the step by srep explaation

Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?

Answers

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

Hi!! So I am doing test corrections for a test that I did bad on but I need to know what is the equation for this??

Answers

Answer:

u can use fraction calculator

Step-by-step explanation:

just go and search 'fraction calculator'

A girl goes on an epic 9-hour snowshoeing truck, and her velocity time graph is shown below, with velocity shown in miles per hour and time shown in hours.
A. When is her velocity at its maximum? What is that maximum velocity?
B. How far did she travel during the first 3 hours?
C. How far does she travel during her entire hike?
D. What is her average velocity during the hike?

Answers

a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) The girl travels a distance of 6 miles in the first 3 hours.

c) The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity of the girl is approximately 2.476 miles per hour.

a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:

[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)

Where:

[tex]\Delta t[/tex] - Time interval, in hours.[tex]v(3)[/tex] - Final velocity, in miles per hour.

If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:

[tex]\Delta x = (2)\cdot (3)[/tex]

[tex]\Delta x = 6\,mi[/tex]

The girl travels a distance of 6 miles in the first 3 hours.

c) The travelled distance is determined by the following geometric expression:

[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)

If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:

[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]

[tex]\Delta x \approx 22.283\,mi[/tex]

The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.

[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)

If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:

[tex]\bar v = \frac{22.283}{9}[/tex]

[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]

The average velocity of the girl is approximately 2.476 miles per hour.

To learn more on kinematics, we kindly invite to check this verified question: https://brainly.com/question/24486060

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

16 units

Step-by-step explanation:

Classify the following triangle as acute, obtuse, or right.
O A. Acute
O B. Obtuse
O C. Right
O D. None of these

Answers

Answer:

It is an obtuse angle so correct

The given triangle is an obtuse angle triangle.

The correct option is (B).

What is a Triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data in the diagram:

We are given a triangle and all the angles of the triangle are also given.

We have to find out the type of the triangle.

If all angles of a triangle are less than 90°, then it's an acute angle triangle.

If any angle of the triangle is greater than 90°, then it's an obtuse angle triangle.

If any angle of the triangle is equal to 90°, then it's a right angle triangle.

For the given triangle:

30° < 90°

24° < 90°

126° > 90°

The given triangle is an obtuse angle triangle.

Hence, the given triangle is an obtuse angle triangle.

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2x^2
When x is equal to -3

Answers

Answer:

18

Step-by-step explanation:

Substitute x = - 3 into the expression

2x²

= 2(- 3)²

= 2 × 9

= 18

Please help me its due tommorow

Answers

Answer:

read below for answers

Step-by-step explanation:

7. 4d + 6 =42

d = 9

8. -3y + 12 = -48

y = 20

9. k/2 + 9 = 30

k = 42

10. g/3 - 7 = 15

g = 66

11. z/5 + 3 = -35

z = -190

12. -9h - 15 = 93

h = -12

13. -3(n + 5) = 12

n = -9

14. -17 + b/8 = 13

b = -32

15. 7( c- 12 ) = -21

c = 9

16. -3 + p/7 = -5

p = -14

17. 46 = -6t - 8

t = -9

Which statement is true about the equation 4.5z = 4.5z − 4.25 + 6.25? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.

Answers

Answer:

it has infinitely many solutions

Step-by-step explanation:

hope it help bro

Answer:

d

Step-by-step explanation:

Hayley is considering two gym membership plans. The plans are detailed here.
HELP ASAP 10 POINTS
Plan One: $40 for a monthly pass plus $4 for each gym visit

Plan Two: $12 for each gym visit.

Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?

Answers

Answer:

aye she probally not gonna go every day she polly gonna got twice so just pay 4 every visit

Step-by-step explanation:

Express the following as:
ax+by+c=0

-2x+3y=6​

Answers

[tex] \color{magenta} \huge{answer}{} [/tex]

it can be expressed as -2x + 3y = 6

on comparing with ax+by+c=0

We can find out that

[tex] \green{ \huge{a= -2}{} }[/tex]

[tex] \pink{ \huge{b = 3}{} }[/tex]

[tex] \color{magenta} \huge{c = 6}{} [/tex]

hope it helps

The expression -22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

Linear Equations

The given equation is:

-2x + 3y = 6

Comparing the equation above with ax + by + c = 0

Rewrite -2x + 3y = 6 in the form ax + by + c = 0

-2x + 3y - 6 = 0

If -2x + 3y - 6 = 0 is compared with ax + by + c = 0

a = -2, b = 3, c = -6

Therefore, the expression-22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

Learn more on linear equations here: https://brainly.com/question/14323743

carl plays a game with his friend. their scores are 2,9,17, 18, and 15. what is the median score of their games? Need answer asap thanks

Answers

Answer:

15

Step-by-step explanation:

Order

2, 9, 15, 17, 18

Find Median Position

Use the formula

[tex] \frac{n + 1}{2} [/tex]

where n is the number of numbers.

Substituting in, 5 + 1 is 6, divided by 2 is 3.

Find the number at the correct position

15

At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?

Answers

Answer:

1

Step-by-step explanation:

What is 35 + 34 ? I cant use calcu pls help me

Answers

Answer:

the answer is 69

Step-by-step explanation:

for your answer you need to understand fast that when you add 34 and 35 what will be the answer you need to think that your answer will be cirrect or not and its very easy question

Please Help Me!

Solve for x. Round to the nearest tenth if necessary.

Answers

Using trigonometry (tan equation)

the tan equation is as follows: tan(angle) = opposite/adjacent

adjacent side = 7.7 (adjacent has two angles which lie on the side)
opposite side = x
tan angle = 59

Solving for the opposite side x = tan(59) multiplied by 7.7

x = 12.81 (2 decimal places.)

Which function defines the sequence
simplified - 6, -10, -14, -18, ...,
where f (1) = -6 ?
Choose:
An = n - 26
An = 4n - 2
An = -n + 32
An = -4n - 2

Answers

the answer is An=-4n-2

Please help me I really such at geometry

Answers

Answer:

EF, DE, DF

Step-by-step explanation:

Answer:

EF DE DF

Step-by-step explanation:

A website is selling couches for $864. The site got the couches at a cost of $320. What percentage is the mark-up?

Answers

That is a 170% markup

GIVING BRAINLIEST
What is the solution to the system of equations graphed below?

Answers

Answer:

(2,-3)

Step-by-step explanation:

The solution of two equations graphed is their intersection point.

Which would be (2,-3)

(2,-3)
Hope this helps

hey guys , can you help me with this question please … i seriously don’t wanna fail this

Answers

Answer:

48

Step-by-step explanation:

You get the third length which is the hypotenuse then you add them all since its asking for the perimeter

simplify 7 1/3t-(10 2/3t-6) it looks crazier than it is pls help

Answers

Answer:

7/3t-2(10/3t-3)

Step-by-step explanation:

7*1/3t=7/3t

-(10*2/3t-60)=-2(10/3t-3)

=7/3t-2(10/3t-3)

Calculate the area of trapezium CDEF.

Answers

Answer:

i think 24 cm² is answer good luck


© There is a bag with only milk and dark chocolates.
5
The probability of randomly choosing a dark chocolate is
5/12
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.

Answers

Answer:

I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5

A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 210 people who snore participating in the experiment. Using a table of random digits starting from the first row and column, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.

Which number range would be needed to label the subjects correctly?

0–2
1–3
000–210
001–210

Answers

The range would be needed to label the subjects correctly is 000-210.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that a researcher is comparing the effectiveness of three devices.

There are 210 people who snore participating in the experiment

The researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.

We need to find the range which would be needed to label the subjects correctly.

210 people are participating in experiment

We need to label subjects from 001 to 210

Since there is no value in using 000 to indicate someone.

Hence, 000–210 is the range would be needed to label the subjects correctly.

To learn more on Statistics click:

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David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice.
What is the price of rice per gram?
dollars per gram of rice

Answers

Answer:

Price of rice per gram =  $ 0.006  per gram or 0.6 cents per gram .

Step-by-step explanation:

Given: David wants to make 10 servings, where each serving has 75 grams of rice.

Total quantity of rice required = 10 x 75 = 750 grams

Overall, David spends 4.50 dollars on rice.

i.e. cost of 750 grams of rice = 4.50 dollars

Price of rice per gram =(cost of 750 grams of rice ) ÷ 750

= (4.50 dollars )  ÷ 750

=  $  0.006  per gram.

Price of rice per gram =  $ 0.006  per gram.

Answer:

0.006

Step-by-step explanation:

If someone is traveling 3mi per 15 mins how far do they go in 1min?

Answers

Answer:

0.2 mi

Step-by-step explanation:

3 mi for 15 min

so divide 3 mi by 15 min = 0.2

HELPPPPPP PLLSLLSLSLLSSS!!!
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $1.95 or the 14-ounce box for $2.81?

Answers

Answer:

It is better to buy the 10-ounce box for $1.95

Step-by-step explanation:

1.) Set up a ratio to represent this problem.

Ounces : Price

10 : 1.95

14 : 2.81

2.) Find the unit price for the first ratio.

10 : 1.95

/10  /10

1 : 0.195

This means that a one-ounce box of cereal will cost $0.12

3.) Find the unit price for the second ratio.

14 : 2.81

/14  /14

1 : 0.20071428571

This means that a one-ounce box of cereal will cost $0.20

4.) Compare prices

$0.12 < $0.20

Therefore, it is better to buy the 10-ounce box for $1.95.

What is the slope of the line that passes through the points (-5, -5 ?(−5,5)?

Answers

Answer:

undefined

Step-by-step explanation:

I'm assuming the points are (-5,-5) and (-5,5)

The formula to do slope is: (y2-y1)/x2-x1)

2 points: (x1, y1) (x2, y2)

So then:

(5-(-5))/(-5-(-5))=10/0

This shows that the line is vertical, which means that slope is undefined.

Answer:5/65/6

The slope of the line passing through the point (5,5) is 5/6.

Step-by-step explanation:

Work out the area of the shaded shape.
5m
9m
11m
8m
The diagram is not drawn to scale.

Answers

The answer would be 61m^2

5x11=55
8-5=3
11-9=2
2x3=6
6+55=61

and since it is the area it is squared
hope this helps
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unscramble each group of words below to make a sensible sentence false advertising deny time to have companies that Neika is saving her money to buy a DVD that costs $45. If she has a job that pays $8 per hour, write and solve an inequality that shows the minimum number of hours that Neika will need to work in order to pay for the DVD. How much energy has 4x 1010 m of water collected in a reservoir at a 2. 3. height of 100 m from the power house? What kind of energy is that? (Given, mass of 1 m of water = 1000 kg) How does (x^3)^3 = x^6 ? Allen and Charlotte married in 2020. They filed a joint return for the year, but the IRS offset their refund because Allen owes past-due child support for his two children from a previous marriage. Charlotte is not legally responsible for the children's support, and she would like to receive her portion of their tax refund. As the couple's tax preparer, what advice would you offer? Why does Scrooge ask the question Are there no prisons? help please I'm stuck on this question math #lollololollollol A tortoise moves at a speed of 22 inches in 7 seconds. What is its average speed in feet per hour? Tech a says that analog signals are continuously variable signals. Tech b says that digital signals are direct on/off signals with no in-between transition. Who is correct?. the use of money and credit controls to change the macroeconomy is Help help math math math PLEASE ANSWER THE ACRONYM OF THIS. CORRECT ANSWER=BRAINLIEST.WRONG OR NONSENSE ANSWER=REPORT.B-A-S-E-B-A-L-L- Help help help help help 45/100 in its simplest form if the chest does not rise and fall when rescue breaths are being delivered hat might be wrong Some patterns use both addition and subtraction in their rules. The rule is "Subtract 11, Add 5." Start with 20 and find the next 3 numbers in the pattern. Which situation results in a zero balance? 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This is because as time passes, the effects of an event become more apparent.In this task, you will write an analytical essay that uses hindsight to determine cause-and-effect, showing how the Civil War and Reconstruction did or did not make significant progress toward creating a more equal society.Your analytical essay should be structured as follows:Introduction: Introduce the particular causes and effects you are analyzing and makes a clear and precise claim.Body Paragraphs: Provide information that supports your analysis of causes and effects. Reasons should be clearly stated and supported by well-sourced evidence. They should also be logically arranged and build upon one another. Relationships between claims and reasoning should be clear. Finally, include an explanation of how your viewpoint differs from that of someone immediately after the event took place because you have had the benefit of hindsight.Conclusion: Sum up your thoughts and analysis. Leave the reader with your most significant insight.Examine this sample analytical essay before writing your own.The Shifting Cause of the Civil WarPresident Lincoln's original stated goal in pursuing the Civil War was to keep the Union together. With the benefit of hindsight, however, it was inevitable that the focus of the war would shift to slavery. The South's claim that they were fighting for "states' rights" was, after all, a thinly veiled assertion that they had the right to own human beings. (South Carolina's Declaration of Succession, in fact, made no bones about this.)President Lincoln was fully aware of what motivated Succession. His delay in officially calling for slavery's end was almost certainly a political calculation. He knew that announcing his true intent from the beginning would lose him supporters in the border states, which maintained slavery while remaining in the Union. Waiting until the moment was rightand then ending slavery only in Confederate stateswas a shrewd decision on his part that contributed to eventual Union victory.The actions of the South after defeat highlight that the desire to keep enslaved persons had motivated Succession. Even though the Civil War technically settled the issue of slavery, the attitudes that created it remained widespread in Southern states for more than a century afterward. There was little support in the South for Reconstruction. In fact, they did everything they could to keep freed African Americans from true equality. Looking back, the strongest evidence supporting this fact was the passage of Black Codes, which meant to keep Black people in a state as close to slavery as possible. Those continued efforts to oppress African Americans led to the federal government's passage of the Thirteenth, Fourteenth, and Fifteenth Amendments, which were not actually ratified by every Southern state until the twentieth century.In hindsight, despite both the Confederacy's and Lincoln's initial assertions, it was inevitable that the Civil War would boil down to an openly acknowledged battle over abolition.Part A: Conduct Research and Document Sources and EvidenceResearch this question: Using hindsight to determine cause-and-effect, what evidence indicates that the Civil War and Reconstruction did or did not make significant progress toward creating a more equal society? Use the table below to organize your information, sources, and evidence.Part B: Write Your Analytical EssayWrite a three-paragraph essay below. Use this rubric to guide your response. Be sure to include:Introduction: Introduces the question ("Using hindsight to determine cause-and-effect, what evidence indicates that the Civil War and Reconstruction did or did not make significant progress toward creating a more equal society?") and makes a clear and precise claim.Body paragraph(s): Provide(s) your reasons, evidence, and analysis.Conclusion: Sums up your thoughts and analysis, and leaves the reader with a significant insight.Part C: Revise and Edit Your Cause-and-Effect EssayReread your three-paragraph essay and rewrite and revise it as necessary. Use this rubric to guide your response.