Write the explicit rule for the given the sequence: 125, 25, 5, ...

Answers

Answer 1

Answer:

An=125(1/5)^n-1

Step-by-step explanation:

r=common ratio

A1= first term in the sequence

I hope this helps some

Answer 2

The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The given GP series is 125, 25, 5, ...

First term a = 125

Common ratio = 25/125 = 1/5

The nth term will be given as ar^(n-1)

Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".

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Related Questions

Solve for x. Triangles below are similar.

a) 13
b) 10
c) 4
d) 3

Answers

Answer:

the answer is 4 (option C)

Step-by-step explanation:

Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.

therefore, the equation forms:

13x + 3 = 55

13x = 55 - 3

13x = 52

x = 52/13

x = 4

What is the equation of the line shown in the graph below? *

Answers

Answer:

y=1/2x−2

Step-by-step explanation:

if you find the 2 point that touch the y and x-axis on the graph, (4,0) and (0,-2), and put it in y=mx+b formula, you get the answer.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.
The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each
topping. How many toppings need to be added to a large cheese pizza from
Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the
same, not including tax?

Answers

Answer:2

Step-by-step explanation:

.9x+6.8

.65x+7.3

Find x by graphing it

Whoops wrong question

The equation y = 3x + 7 is written in slope-intercept form.
O True
False

Answers

Answer:

True

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

y = 3x+7 where the slope is 3 and the y intercept is 7

This is in slope intercept form

True is correct answer

share $150 among John, mary and Sarah so that each of the two girls receives twice as much as John​

Answers

Answer:

60 dollars to the two girls each, and 30 dollars to John.

Step-by-step explanation:

If the two girls have 60 dollars (each), then that is twice as much as 30.

60 + 60 = 120.

120 + 30 = 150.

I need help!
Screenshot down below.
Please give me real answers and not spam (those who spam will get reported)
Please SHOW your work

The formula for the question below is A=Pe^rt

Answers

Answer:  23 years

=======================================================

Work Shown:

P = 1000 is the amount deposited

We want this value to double to A = 2000 which is the amount in the account at time t (in years).

r = 0.03 represents the interest rate in decimal form.

The value of t is unknown but we can solve for it like so

[tex]A = Pe^{rt}\\\\2000 = 1000e^{0.03t}\\\\2 = e^{0.03t}\\\\\ln(2) = \ln\left(e^{0.03t}\right)\\\\\ln(2) = 0.03t\ln\left(e\right)\\\\\ln(2) = 0.03t*1\\\\\ln(2) = 0.03t\\\\[/tex]

[tex]0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\[/tex]

It will take about 23 years for the amount to double.

As a check,

[tex]A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\[/tex]

which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.

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

Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.

The intercepts 9x^2+4y^2=36

Answers

Answer:

Step-by-step explanation:

can i fet a kiss x9

you love to play pool at the local hall if it costs $10 just to play plus $2.30 per game played what is the most number of games that you can play in one night on $50

Answers

Answer:

4

Step-by-step explanation:

or 17

10 to enter i assume and then 2.30 per game

12.3 everytime u play

50/12=4

Please Help me with this question please please. I will mark brainliest.

Answers

Answer:

its just 22

Step-by-step explanation:

It is the third one down 22 degrees.

plz help! WILL GIVE BRAINLIEST

Answers

Answer:

3x+7=y

Step-by-step explanation:

Studies indicate that 10.5% of the US population has diabetes. A producer of medical devices is developing a test for diabetes diagnosis: a positive test suggests that a person has diabetes, a negative test suggests that a person does not have diabetes. However, medical tests can give false results: in particular, the probability that this test gives a negative result for a person who actually has diabetes is 0.05, while the probability that the test is positive for a person who in fact does not have diabetes is 0.10.1. What is the probability that the test gives a positive result for a person who is known to have diabetes? 2. What is the probability that a person has diabetes, given that the test gives a positive result?

Answers

Answer:

The answer is "0.95 and 0.5271".

Step-by-step explanation:

[tex]p (d) = 0.905 \\\\p( false\ negative) = 0.05\\\\p(false \ positive ) = 0.10 \\\\[/tex]

In point a)  

p ( positive diabetes )[tex]= 1 - 0.05 = 0.95[/tex]

In point b)  

[tex]p(\frac{d}{+ve}) = \frac{0.105 \times 0.95}{0.105 \times 0.95 +0.895 \times 0.10 }[/tex]

           [tex]=\frac{0.09975}{0.09975+0.0895}\\\\=\frac{0.09975}{0.18925}\\\\= 0.5271[/tex]

The set of integers from -3 to 3

Answers

Answer:

-3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

I am pretty sure you are trying to ask this but don't mind if it's not. If it's not just ignore it.

-3 is the smallest, so you go see the integers above it that are equal or less than 3.

Integers are numbers that can be negative or positive, but cannot be a decimal, square root, X and more.

So then the answer should be

-3, -2, -1, 0, 1, 2, 3

Which decimal has the greatest value ? 0.2 , 0.27 , 0.029 , 0.231

Answers

Answer:

0.27

Step-by-step explanation:

Greatest decimal value is 0.27

What is decimal value?

Decimals are based on the preceding powers of 10

Given decimal values are

0.2,0.27,0.029,0.231

Order the decimal numbers from low to high

0.029<0.2<0.231<0.27

Hence, the greatest decimal value is 0.27

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Maggie goes to a clothing store to shop for t-shirts. The store is having a sale on t-shirts for 25% off each shirt. She purchases 5 t-shirts that were regularly priced at $22. What was the total the store charged her with the discount, but before tax?

Answers

$109.75

Because 22-5% x 5 is 109.75

Answer:

A

Step-by-step explanation:

solve this ...BABABOOEY

Answers

Answer:

The answer is G because everything in the problem adds up to G

Answer:

Yes i will solve BABABOOEY

Step-by-step explanation:

Help me find the radius please

Answers

Where’s the pic or equation so I can solve it ?

Answer:

You have to state the question or have an attachment on your question so we can answer it

time. weight
8. 0.04
9. 0.07
10. 0.14
11. 0.25
12. 0.49

what is the average rate of change in weight of the plankton from week 8 to week 12?

A) 0.0265
B)0.0375
C)0.055
D)0.1125​

Answers

Answer:D

Because 0.49/12 -0.04/8 = 0.1125

can somebody help me please ..

Answers

Answer: Red

Step-by-step explanation:

The y intercept is -2 so its either green or red

the slope is positive so its red

The length of a box as reported by its manufacturer is 13.67 cm. Joe has a ruler which has markings for each millimeter. Which most likely represents the length of the box that Joe is able to measure?

Answers

Answer:

Option (3)

Step-by-step explanation:

Joe has a ruler which has markings for each millimeter, so the least measurement which Joe can do is in millimeter.

Since, 10 mm = 1 cm

Therefore, 1 mm = 0.1 cm

This rule states that Joe can measure a length or distance in nearest tenth of a cm only.

If length of a box = 13.67 cm,

So Joe can measure it as 13.7 cm approximately.

Therefore, Option (3) will be the answer.

Find the value of this expression if x = 7 and y= -2
xy^2/9

Answers

7(−2)^2 /9

7(−2)^2 /9  

= 28 /9

the answer above this is wrong if you’re using Plato

Which expression can be used to find 1/2 of 12

Answers

Answer: 1/2*12
12/2

Explanation: either one is right. It just depends on your options.

Expression can be used to find 1/2 of 12 is 1/2*12

How to find how much percent 'a' is of 'b'?

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex](in percentage)

Given;

P= 1/2 => 5/10 => 50/100

b= 12

substituting in the formula;

 a/12 = 50/100

putting the value of 50/100 from given

 a/12= 1/2

a= 1/2*12

Therefore, the correct answer will be 1/2*12

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copy and complete: 7:8:9=x:12:x

Answers

Answer:

kjldsjlkgjvdlskvjlxzk

Step-by-step explanation:

The high temperatures for two consecutive days were 83°F and 79°F. If the average(mean) high temperaature, including a third day, was greater than 82°F, then what was the high temperature on the third day? Write an inequality representing the problem.

Answers

Answer:

83F+79F+X

-----------------      >82F

        3

Step-by-step explanation:

X is the unknown temp, which is the third day.  adding all those up and dividing that by 3 will give you the average. if the average is above 82F, then you just add a > symbol showing that its higher than 82F

Please help I'll give brainlest

Which of the following is 1,215 divisible by? Select all that apply.
A.3
B.2
C.9
D.10
E.5
F.8
G.4
H.6

Answers

Answer: A,C,E

Step-by-step explanation:

All of the other answers give you a decimal.

Answer:

ACE

Step-by-step explanation:

A

1215 divided by 3 = 405

B

1215 divided by 9 = 135

C

1215 divided by 5 = 243

*The other answers can give a decimal answer.

The y-intercept of 2x - y = 6 is -6.
O False
True

Answers

Answer:

It is true

Step-by-step explanation:

Convert to slope-intercept form:

2x-y=6

-y=6-2x

y=-6+2x

y=2x-6

Since y=mx+b is the form we want, then b=-6, making the statement true.

Answer:

true

Step-by-step explanation:

you switch the 2x to the other side to get -y = 2x + 6

then you multiply everything by -1 to get y = -2x-6

-6 is the y int

Solve for x: 1/3 (x-22) = 4x
x = -2
x = 34
x = 2
x = -10 ​

Answers

Answer:

x=-2

Step-by-step explanation:

What is the difference of the polynomials?
I will give 40 points

Answers

Answer:

im answering this for the points and also u lied about how many points i would be getting. -.-

Step-by-step explanation:

answer is C i think

Answer:

7x^{2} +3y^{2} -4x

Step-by-step explanation:

12-5=7

-11-(-14)=3

-13-(-9)= -4

so it will be [tex]7x^{2} +3y^{2} -4x[/tex]

can you help me with this question please

Answers

Answer:

correct answer it's A

give me a like at least please

James borrows $4,200 to pay his college tuition. He signs a 5-year simple interest loan. If the monthly payments are $78.40, what is the interest rate on the loan?

Answers

Answer:

2.4%

Step-by-step explanation:

Total amount of payments:

5 years * 12 months/year * $78.40/month =

= $4704.00

Amount of interest paid in 5 years:

$4704 - $4200 = $504

Amount of interest paid in 1 year:

$504/5 = $100.80

Annual percent rate of interest:

$100.80/$4200 * 100% = 2.4%

Answer: 2.4%

Help ASAP!!!


Suppose you buy a stock for $2,100. It decreases in value by 15% and then rises
20%. What is the new stock value? Round to the nearest cent.

A) $2,142.00
$1,785.00
B) $2,205.00
D) $2,520.00

Answers

Answer:

B

Step-by-step explanation:

20-15= 5 so you do 5% of 2100 by doing 2100 times 0.05 which gives y9u 105. you then add 2100 and 105 together

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