three consecutive terms in a geometric sequence are r ,r+4, and r+6 in that order. Determine the value of r.​

Answers

Answer 1

9514 1404 393

Answer:

  r = -8

Step-by-step explanation:

The terms of a geometric sequence have a common ratio, so we have ...

  [tex]\dfrac{r+4}{r}=\dfrac{r+6}{r+4}\\\\1+\dfrac{4}{r}=1+\dfrac{2}{r+4}\\\\4(r+4)=2(r)\qquad\text{subtract 1, cross multiply}\\\\2r=-16\qquad\text{subtract $2r+16$}\\\\\boxed{r=-8}\qquad\text{divide by $2$}[/tex]

_____

Then the terms of the sequence are ...

  -8, -4, -2, ...

and the common ratio is 1/2.

Answer 2

Answer: r = -8

Step-by-step explanation:


Related Questions

Please explain as well how to do it. Thanks!

Answers

Answer:

The answer is B.

Step-by-step explanation:

Please refer to the attachment (ignore the horrible drawing, thank you).

Let the distance from P to T be red. The length of the red distance is x radians.

T’ is π-x. Thus, it is the red distance subtracted from the purple distance.

So, T’ is the reflection of T across the y-axis.

Therefore, we can simply multiply the x-coordinate of T to get T’.

T is (3/5, 4/5)

Then T’ must be (-3/5, 4/5).

Hence, our answer is B.

HELP PLEASE!!!! It's overdue :(

Answers

1: y = 3x + 42

2: y = 3(40) + 42

   y = 162

3: Bob put 657 in a bank account. He gained 2 times the amount per year. y = 2x + 657

Plz give brainliest.

can someone help me pls

Answers

6/7 because there are 7 boxes and 6 are shaded

Help I don’t understand?!?!

Answers

Answer:

Which number u trynna flex bro

Step-by-step explanation:

lets go lets roll gogogogog

There were 130 faculty at a conference. If there were 18 more women than men attending, how many of each gender attended the conference?

Answers

Answer:

the number of men be 56

And, the number of women be 74

Step-by-step explanation:

The computation of the number of each genders attended the conference is shown below;

Let us assume the number of men be x

And, the number of women be y

Now the equations would be

x + y = 130 .............. (1)

And,

y = 18 + x ................ (2)

Now put the y value in the equation 1

x + 18 + x = 130

2x = 130 - 18

2x = 112

x = 56

Now the y is

= 18 + 56

= 74

So, the number of men be 56

And, the number of women be 74

About 7% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 400.

Answers

Answer:

5.10 people

Step-by-step explanation:

Calculation to Find the standard deviation for the number of people with the genetic mutation

Using this formula

Standard deviation = √ ( n * p * q)

Where,

n = 400

p = .07

q = 100%-7% = 93% or .93

Let plug in the formula

Standard deviation =√400*07*.93

Standard deviation =√26.04

Standard deviation = 5.10 people

Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.

Business math pls help

Answers

True. The principal is the amount loaned. If you are the person loaning the money to the bank (which is effectively how they make money), then they pay you back in the form of interest. The bank takes a share of that interest of course. They may have other fees as well.False. The compound interest depends on how frequently the money is compounded. Usually it's done monthly. Though your bank would likely say it somewhere in the fine print. It is only when annual compounding takes place is when statement #2 is true.True. If the item you're trying to buy is larger than what is in your account, then you'll be overdrawing your account. Your bank will likely charge an overdraft fee. So it's best to pay attention to your balance as much as possible. True. You can bank from your phone, computer, tablet or laptop and do so anywhere in the world. Of course you'll need access to the internet. Keep in mind that some banking services require in-person visits so not everything is done online. True. Not much to say here, other than this number is used for ATM withdrawals and point of sale purchases with a credit card (though it will depend on the card).False. An ATM is a machine that dispenses cash, and it accepts deposits as well (either cash or check; though it may depend on the specific machine). ATM stands for Automated Teller Machine. It basically is a robotic banker, hence the phrasing "automated teller". Coupled with online banking, ATMs help spread a bank's footprint and allow customers to truly bank from anywhere. False. Withdraw means to subtract from the balance. True. A deposit increases your balance because you are giving that money to the bank.False. A bank statement is a document that tells you how much you have in your account(s) at any given month. It also provides the amount of interest earned as well as various deposits and withdrawals made for that month.

4x^10 + 9x^10 what is the sum or difference

Answers

Answer:

[tex]13x^1^0[/tex]

Step-by-step explanation:

[tex]4x^1^0+9x^1^0[/tex]

Add similar elements:

[tex]4x^1^0+9x^1^0=13x^1^0[/tex]

which term of the series 2187,729,243...is 1/9​

Answers

Answer:

Step-by-step explanation:

Givens

a = 2187

r = 1/3

L = 1/9

what is n

Formula

L = a*r^(n-1)

1/9 = 2187 * (1/3)^(n-1)

1/(9 * 2187) = (1/3)^(n - 1)

1/19683 = (1/3)^(n - 1)

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

You need to break 19683 down into its prime factors.

19683 = 3* 729

19683 = 3 * 3 * 243

19683 = 3 * 3 * 3 * 81

81 = 3^4 so there are 4 more threes in the breakdown.

19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3

1/19683 = 1/(3)^(7-1)

1/9 is the 6th term in the series.

Mr. Santiago has a flight from New York to Paris that covers a distance of 3,640 miles in 7 hours. If the plane travels at the same speed per hour, how many miles will it have traveled after 4 hours?

2. Josh watches 720 shows in one year. If he watches the same number of shows each month, how many shows does he watch in 5 months?

Answers

Answer:He traveled 2080 miles after 4 hours. He covered 3640 miles in 7 hours with a constant speed, so we can calculate the speed: 3640/7=520 miles/hour. After 4 hours, he traveled 520*4=2080 miles.

Step-by-step explanation:

Plzzzz Helppppp
What’s 26+5×1÷2 Explain Your Answer

Answers

Answer:

[tex]26 + 5 \times \frac{1}{2} \\ \\ = 26 + \frac{5}{2} \\ \\ = \frac{57}{2} [/tex]

Answer: 28.5

Step-by-step explanation: 26 + ((5*1) / 2 = 28.5. Knowledge.

CUZ THATS THE WAY I LIKE TO LIVE MY LIFE, AND I KNOW THAT EVERYTHINGS GONNA BE JUST FINE!!

2. Estados Unidos importa actualmente todo su café. La demanda anual de café por parte de los consumidores estadounidenses viene dada por la curva de demanda Q = 250 – 10P, donde Q es la cantidad (en millones de libras) y P es el precio de mercado por libra de café. Los productores mundiales pueden cosechar y enviar café a los distribuidores estadounidenses con un coste marginal (= medio) constante de 8 dólares por libra. Los distribuidores estadounidenses pueden distribuir a su vez el café a un precio constante de 2 dólares por libra. El mercado de café de Estados Unidos es competitivo. El Congreso está considerando la posibilidad de establecer un arancel sobre las importaciones de café de 2 dólares por libra.
a. Si no hay ningún arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
b. Si se establece el arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
c. Calcule la pérdida de excedente del consumidor.
d. Calcule los ingresos fiscales recaudados por el Estado.
e. ¿Genera el arancel una ganancia neta a la sociedad en su conjunto o una pérdida neta?

Answers

D is the correct answer

A line has a slope of - 3 and passes through the point (-3, 8). What is the equation of the line?
A. Y=-2/3x+6
B. Y=-2/3x+8
C. Y=6x-2/3
D. Y=8x-2/3

Answers

Answer:

y = -3x-1

Step-by-step explanation:

Point-slope equation of a line

y-y1=m(x-x1)

(x1,y1) are coordinates of a point in the line = (-3,8)

m is the slope of the line = -3

Fill in what you know and move constants to get y by itself (y=mx + b ... slope-intercept equation)

y-8=-3(x+3)

y-8=-3x-9

+8 +8

y = -3x-1

None of the options are correct

What is the equation, in slope-intercept form, of the line
that is perpendicular to the given line and passes through
the point (2, -1)?

A)y = -1/3 x -1/3
B)y = -1/3 x -5/3
C)y = 3x - 3
D)y = 3x - 7

Answers

Answer:

My guess would be D.

Step-by-step explanation:

We can eliminate A and B right away considering the Slope of the first equation is already -1/3 and we need the slope to be opposite to be perpendicular. So right then It is either C or D. and with C It doesn't seem like the line intersecting the line above would be parallel so my guess is D.

what is 15+15 I need help

Answers

Answer:

30

Step by step explanation:

lol

sec²A-cosec²A=(tanA+cotA)(tanA-cotA)​

Answers

Answer:

Step-by-step explanation:

Sec²A-cosec²A=(tanA+cotA)(tanA-cotA)

Tan^2A+1-cot^2A-1=(tan^2A-cot^2A)

tan^2A-cot^2A=tan^2A-cot^2A

L.H.S=R.H.S

Hence proved.

Which equations has a solution of X=1.5

Answers

He hits a little on a number where it will start with a

Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?

Answers

22.05

35/100=.35 .35x63=22.05

The formula for calculating simple interest, I, is I = prt where p is the principle, r is the rate and t is the time. Solve for p.
1. I - rt
2. I + rt
3. I/rt
4. rt/I

Answers

I = prt
P = I/ rt
I believe

The solution of the formula for p is  p = I/ rt which is divided by the principle p times r. which is the correct answer would be an option (C)

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

Given that the formula as:

⇒ I = prt

where I = Interest, P = principal,

R = rate and T = time is used to calculate the amount of simple interest earned.

⇒ I = prt

After getting P on one side, you must divide rt to get the letter p by itself.

⇒ I = prt

⇒ p = I/ rt

Hence, the correct answer would be option (C)

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ2

4n+7-2 pls in really need help;-;

Answers

Answer:

4n + 5

Step-by-step explanation:

This equation cannot be simplified further

Unless you meant 4n + 7 = 2

Then the answer would be -1.25

Answer:

4n+5 hope this helps

Step-by-step explanation:

4n+7-2

4n+5

Quick ASAP please!!!!!!!!!!!! Help!!!!


m2
Find the area of this shape.
1 m
2 m
N
4 m
3 m

Answers

Answer:

i hope this helps to you

HELP PLEASE I BEG U
A motorcycle rental agency uses the formula shown to calculate the price to rent a motorcycle for one day, where P is the price, and m is the number of miles driven
P(m) = 45 +0.15m
The domain of this equation is m >0. Why is this the case?
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
B.The price to rent the motorcycle will always be greater than or equal to zero.
C.The domain of any linear function with a decimal slope is never zero.
D.This is incorrect. The domain of any linear function is all real numbers and is not dependent on context.

Answers

9514 1404 393

Answer:

  A  The number of miles driven will always be greater than or equal to zero and cannot be less than zero.

Step-by-step explanation:

The domain of a function such as this is the set of values that realistically may be given as input to the function. We know of no way to ride a motorcycle a negative number of miles, so the domain must be non-negative numbers.

__

In real life, the domain is likely non-negative integers.

I need help answering. Thanks.

Answers

Answer:

28

Step-by-step explanation:

C or B's so 30% + 40% = 70% so:

70/100 multiplied by 40 because 40 students

7/10 times 40 = 28

The correct answer is 28

What are the answers and explain

Answers

Answer:

Step-by-step explanation:

answers to what

?ummm can you rephrase this because I don’t understand

Rewrite 2y = 6 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =

Answers

Answer:

y = 3

m = 0

b = (0, 3)

Step-by-step explanation:

To put it in slope intercept form, divide each side by 2:

2y = 6

y = 3

So, y = 3 is the equation in slope intercept form.

The slope is 0, since there is no x value in the equation.

The y-intercept is (0, 3) since the equation is just y = 3.

Divide by 2
Y=3
m = 0
b = 0


Please help me. What’s the answer ?

Answers

Answer:

D

Step-by-step explanation:

D

What fraction of this shape is shaded?
You must give your answer in its simplest form.
Type here ​

Answers

The fraction of the shape which is shaded in simplest form is 1/3.

The square in the diagram provided has a total of 12 boxes .

The number of shaded part is 4

To calculate the shaded fraction of the shape we have to use the formula:

Number of shaded part/ Total number of boxes present.

= 4/12

We can divide the numerator and denominator by 4 to get the simplest form.

= 1/3

The fraction of the shape which is shaded in simplest form is therefore

= 1/3.

Read more about Fraction here https://brainly.com/question/17743912

Please help I’m stuck on this question

Answers

Answer:

A. this is a vector, so you need a bar on top (ie not D)

Step-by-step explanation:

What is a factor of 42

Answers

Answer:

1, 42

Step-by-step explanation:

Another pair of factors of 42 would be 2, 21. Factors, when multiplied, would get 42. 6,7 would also work, etc etc.

839 bcc I didd thisss in school

There was a country concert held at the park. For every 3 men there were 5 women that went to the concert. If 30 more women attended the concert than men, how men and how many women attended the concert.

Answers

Answer:

3m == 5w, that means for such unit, there is a 2 person difference

30 person difference = 30/2 = 15units

and again one unit means 3m and 5w

so 15*3men, and 15*5women

and you can check the difference is 30

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