what is the common ratio of a geometric progression were the first term is 3 and the 4th term is 648​

Answers

Answer 1

Answer:

[tex]r = 6[/tex]

Step-by-step explanation:

Given

[tex]a = 3[/tex] --- First, term

[tex]T_4 = 648[/tex] --- Fourth term

Required: Determine the common ratio

The nth term of a GP is

[tex]T_n = ar^{n-1[/tex]

Substitute 4 for n

[tex]T_4 = ar^{4-1[/tex]

[tex]T_4 = ar^{3[/tex]

Substitute 648 and 3 for T4 and 3 respectively.

[tex]648 = 3 * r^{3[/tex]

[tex]r^3 = 216[/tex]

Take cube roots of both sides

[tex]r =\sqrt[3]{216}[/tex]

[tex]r = 6[/tex]

The common ratio is 6


Related Questions

Plz I need help Plz I need help Plz I need help Plz I need help Plz I need help!!!!!!!!!!!!!!!!!!!!!!

Answers

The first one has no solution so it’s (x,y)

Which of the following is a way that citizens can directly influence law-making and public policy?

Answers

Answer: A way citizens can directly influence the public policy is by following it or not. If there is a policy that no one agrees with, they will not follow it and show that the policy is wrong. When this is done, the policy will go away. That is how citizens can directly change this.

Step-by-step explanation:

Hey can someone help pls

Answers

Answer:

Step-by-step explanation:

x2 - 2x - 35

First we have to find the factors of 35 that by subtracting equal to 2 so

x2 - 7x + 5x - 35

Taking common

x(x - 7) + 5(x - 7)

(x - 7) and (x + 5) are the factors

Does the Y-axis or X-axis come first?

Answers

Answer:

X

Step-by-step explanation:

The X-axis is the one on the bottom if you are in the first quadrant. The y-axis is on the left or up and down. If you are writing location(I can't remember the name but it looks like this (2,3)) you would write the X-axis down first. Hope this helped!  

Plsss help me with this math question!!!

Answers

Answer:

Option c.

Step-by-step explanation:

Volume = length * breadth *height

According to the question,

(3/2 * 1/2 * 2)ft^3

= 3/2ft^3

Hope this helped :)

Answer is below. Hope it helps you

A password must have 2 letters and 3 digits. How many different passwords are possible?
A) 60,466,176
B) 468,000
C) 676,000
D) 82

Answers

B I think good luck

Circuit City is having a sale on computers. Max picks out a computer that was originally $1199.99 If the computer is 41% off, What is the final price of the computer? Round to the nearest penny.

Answers

Answer:

$707.9941 rounded is $707.99

Step-by-step explanation:

41%=0.41

1199.99*0.41=491.9959

$1199.99-$491.9959=$707.9941

$707.9941 rounded is $707.99

the four doesn't round up so it would just be $707.99.

Hope this helped!

AT&T would like to test the hypothesis that the average revenue per retail user for Verizon Wireless customers is greater than $50. A random sample of 32 Verizon Wireless customers provided an average revenue of $54.70. It is believed that the population standard deviation for the revenue per retail user is $11.00. Using LaTeX: \alpha=0.05α = 0.05 , answer the following questions: a. Identify the null and alternative hypotheses to conduct an appropriate hypothesis test of mean. (3 points) b. Use the critical value approach to test this hypothesis. (3 points) State your decision and conclusions explicitly. (3 points) c. Use the p-value approach to test this hypothesis. (3 points) State your decision and conclusions explicitly. (3 points) d. Assume that the actual population mean for revenue per retail user is $44.30. Calculate the probability of type II error. (5 points)

Answers

Answer:

H0; u = 50 average revenue equals 50

H1: u not equal to 50, average revenue not equal to 50

This is 2 tailed

Alpha = 0.05

Z critical = 1.6449

We find the test statistics

Mean = 54.7

Sd = 11

n = 32

barX - u/sd/√n

= 54.70-50/11/√32

= 4.70/1.9435

= 2.418

Decision rule: reject H0 if test statistic > critical value. Accept if otherwise

2.418>1.6449

We reject H0

We conclude that average revenue is not equal to zero

C. P(z>=2.418) = 0.9922

1 - 0.9922

= 0.0078 (I used Ms excel here)

0.0078 < 0.05

So we Reject h0

Suppose the probability of a false positive result on a mammogram is 4%. Suppose that the probability of a false negative result on a mammogram is 2%. Assume that the probability that a randomly chosen woman has breast cancer is 0.0002. If a woman has a positive test result, what is the probability that she actually has breast cancer

Answers

Answer:

0.0049 = 0.49% probability that she actually has breast cancer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test result

Event B: Breast cancer

Probability of a positive test result:

4% of (1 - 0.0002)

98% of 0.0002

So

[tex]P(A) = 0.04*(1 - 0.0002) + 0.98*0.0002 = 0.040188[/tex]

Having breast cancer and testing positive.

98% of 0.0002

So

[tex]P(A \cap B) = 0.98*0.0002 = 0.000196[/tex]

What is the probability that she actually has breast cancer?

[tex]P(B|A) = \frac{0.000196}{0.040188} = 0.0049[/tex]

0.0049 = 0.49% probability that she actually has breast cancer

Is 0.35 greater than 4/9

Answers

Answer:

No

Step-by-step explanation:

It is not because 0.35 is less then 4/9 or 0.44444.

No it is not. Have a good day. (:

A store buys a jackets for $20.00 and sells it for 80% more than that what is the selling price of the jacket

Answers

Answer:

$36

Step-by-step explanation:

in the beginning $20 is %100 so divide 20 by 100                                              .you'll get .2 but to make this simple you'll want %10 so multiply .2 times 10 and you get 2                                                                                                         .now that 2 is %10 and you want %80 you multiply 2 8 times (or add it 8 times) because %10 times 8 = %80 so 2 times 8 = 16                                             .now that you have the %80 you want to add it to the %100 because they sold it for %80 then the price they bought if for (you get %180)                                                     . then you add the $20 to the $16 because that is what each percent equals (you get $36)

Answer:

$36

Step-by-step explanation:

What we know: The jacket is marked up by 80% of the jacket. The store is now selling the jacket for 180% of what they bought it for.

Set up problem:    x        180%

                            ___ = ____

                           $20     100%

What do the numbers mean when set up like this(referring to problem set up): We know that $20 is the original price of the jacket. So $20 is 100% of the jacket(if that makes sense). Markup is 80% because "sells it for 80% more" . So it goes on top.

Solving the Problem#1:  180 x 20 = 3600

Solving the Problem#2: 3600/1000= $36

Checking My Math: What is 80% of $20. Let's divide $20 into 4 parts.  

$4 + $4 + $4 + $4 + $4 =20

$4 is 20% of 20

$8 is 40% of 20

$12 is 60% of 20

$16 is 80% of 20

$20 is 100% of 20

Final Answer: $36 is the selling price of the jacket

Note: I used a scientific calculator for some calculations.

I got 12 will someone double check me please? No links I can’t open them

Answers

Answer:

the first 6⅔

Step-by-step explanation:

in the image

In what ways do peer-to-peer lending and traditional lending differ?

Answers

here’s the answer get the app socratic

HELP!! Is –41/2 equivalent to (–4)1/2? Why or why not?

Answers

No, they are not equivalent. The first term, -4 1/2 equals 4 whole units and one half unit. All negative. So it’s like you have someone 4 and 1/2 dollars.

The second term, (-4)1/2 means multiplying -4 times 1/2. Doing the multiplication for this gives you -4/2. Solving the division here is -2. It’s taking away 1/2 dollar 4 times.

I hope this helped. Happy to answer any questions you have.

(-8 times (-2/3)


Easy 7th grade work pls answer in fraction form

Answers

Answer:

[tex]-8 \times \frac{-2}{3}\\\\= \frac{-8 \times -2}{3} \\\\= \frac{16}{3}[/tex]

what quantity should be added to both sides of this equation to complete the square x^2+12x=-15

Answers

Answer:

36

Step-by-step explanation:

Please no links just the letter answer and explanation please

Answers

Answer:

-6.5 degrees/km  

Step-by-step explanation:

I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2

If a worker is making $8 an hour how much would they make in 6 hours?

Answers

Answer:

$48

Step-by-step explanation:

8•6= 48

.....uchild

They are making 48 dollars an hour.

We know this because using simple multiplication we can calculate 8 x 6, or 8 groups of 6/6 groups of 8. This would equate to 48.

Put the equation 169x^2+25y^2-4225=0 in standard form and sketch the ellipse including the foci in your sketch ​

Answers

Answer:

The standard form of the ellipse is [tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]. Coordinates of the foci are [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex], respectively.

Step-by-step explanation:

The equation of a ellipse centered in the origin in standard form is defined by following formula:

[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 1[/tex] (1)

Where [tex]a, b[/tex] are the coefficients of the ellipse.

Now we proceed to transform the equation of the ellipse in general form into standard form by algebraic means:

[tex]169\cdot x^{2}+25\cdot y^{2}-4225 = 0[/tex]

[tex]169\cdot x^{2}+25\cdot y^{2} = 4225[/tex]

[tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]

Since [tex]b > a[/tex], then major axis of the ellipse is located in y-axis. The distance between center and focus ([tex]c[/tex]) is calculated by following Pythagorean identity:

[tex]c =\sqrt{b^{2}-a^{2}}[/tex] (2)

[tex]c = 12[/tex]

The location of the foci are represented by [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex]. If we know that [tex]c = 12[/tex], then the location of the foci are, respectively:

[tex]F_{1}(x,y) = (0,-12)[/tex], [tex]F_{2}(x,y) = (0,12)[/tex]

Please guys I really need you're help

Answers

Dudeeee it’s H if not I’m very sorry

find the length of line segment connecting (2,1) and (3,3)

Answers

Answer:

square root of 5

Step-by-step explanation:

Use distance formula:

[tex]\sqrt{(3-1)^2 + (3-2)^2} \\\sqrt{2^2 + 1^2}\\\sqrt{4 + 1} \\\sqrt{5}[/tex]

If we divide Rs 20 between Jatin and Arnav in the ratio 3 : 2, how much will each of
them get?

Answers

Answer:

$12

$8

Step-by-step explanation:

Amount Jatin received = (ratio of Jatin's share / sum of ratios) x amount shared

sum of ratios = 3 + 2 = 5

(3/5) x 20 = $12

Amount Arnav received = (ratio of Arnav's share / sum of ratios) x amount shared

(2/5) x 20 = $8

or

$20 - $12 = $8

60 centimeters + 4 meters
What is the answer in centimeters

Answers

Answer:

its 460centimeters hope i helped

the answer is 460 centimeters because 1 meter is = to 100 centimeters

The equation for velocity is v = distance time . Evaluate the velocity of an object that travels 15 meters in 2.5 seconds.

Answers

Answer:

What is acceleration?

Imagine you are playing golf, and you’ve just set up the golf ball on the tee. You test your grip, take a few practice swings, and peer into the distance at the flag pole marking the first hole for the course. Your wise golf ball guru (who happens to also teach physics) tells you to “Be the ball, young grasshopper.” So you close your eyes and picture the distance the ball must travel. “Yes, young earthworm”, your sensei says, “that distance you see is the displacement you must achieve, displacement is the change in position from one place to another.”

Step-by-step explanation:

write down in terms of n an expression for the nth term of the following sequences 9 11 13 15 17

Answers

Answer:

2n+7

Step-by-step explanation:

 +2  +2  +2  +2

9     11  13  15  17  so we start with 2n

2 ➡ 9 = +7   6 ➡ 13 = +7

4 ➡ 11 = +7   8 ➡ 15 = +7

So the answer is 2n + 7

Select the correct comparison.
Set A
Set B
...
...
2 4 8 10
0 2 4 6 8
A. The typical value and the spread are both greater in set B.
B. The typical value is greater in set A. The spread is greater in set B.
C. The typical value is greater in set B. The spread is greater in set A.
D. The typical value and the spread are both greater in set A.

Answers

Answer:

it is B.

Step-by-step explanation:

What is the simplest form of 3/5 + 1/3

Answers

Answer:

8/15 +5/15 = 12/15 = 4/5

Step-by-step explanation:

4. The quotient of a number and 3 is at least 5.

Answers

Answer:

15 20 25  any of those!

Step-by-step explanation:

mark brainliest pls

Pls help asap will mark brainliest firtst answer!!

Answers

Answer:

The answer is C

Step-by-step explanation:

9 of the 20 drawn were red

9/20* 100 = 45

H.E.L.P
Thomas drove 45 miles in 1 hour. At this rate, how many miles will he drive in 4 hours?

A. 170 miles

B. 180 miles

C. 135 miles

D .90 miles

Answers

Answer:

B

Step-by-step explanation:

45*4=180

Answer:

its b

Step-by-step explanation:

i've tooken the test

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