In a geometric sequence , a3 =192 and a6 =3 . (a) Determine the common ratio, r. (b) what is the first term of the sequence? (c) Write a rule for the nth term of the sequence.

Answers

Answer 1

Answer:

a. 1/4 or 0.25

b. 3072

c. Un = 3072(1/4)^(n-1)


Related Questions

Question
-8 – (-3) =

Answers

Answer:

-5

Step-by-step explanation:

-8 - -3 basically forget about the - just do the question 8 - 3 then u get 5 then add the - sign

Answer:

Step-by-step explanation:

-5

-8 -(-3)=

-8+3=

-5

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

D) R’(2,3); S’(7,3); T’(5,8); U’(0,8)

Step-by-step explanation:

The last one.  If you reflect it over the x-axis, it moves from quadrant IV to quadrant I.  Everything in quadrant I is positive, and the last one is the only one that has all x and y values positive.  

The cost of dress in a shop is 320.00 for more than more than the cast: If a customer of a pair of pays 305.00 for the turo items. How much does each cost.​

Answers

The price of each of these be

A dress market at Rs.120 is 96A pair of shoes market at Rs.750 is 600A bag market at Rs.250 is 200.What is discount?The discount is determined by dividing the purchase price by the item's par value. Discount is a type of cost price reduction or deduction for a product. It is primarily employed in consumer interactions when discounts on various goods are offered to customers. A percentage represents the discount rate. (Discount List Price) 100 is the formula used to determine the rate of discount. The discount is the amount that is subtracted from the selling price in the formula. [(List price - Selling price)/List price] 100 is an additional formula for computing discount percentages.The simplest definition of a price is the sum of money exchanged by a buyer and seller for a good or service.

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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Select all equations that have n = 6 as a solution

 Select all equations that have n = 6 as a solution

Answers

Answer:

B. n + 6 = 12

C. 4 • 6 = 24

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

The answer is b. n+6 and c. 4×n=24.

hope this helps,have a great day!!

~Pinky~

Find the area of the shaded figure below.

Find the area of the shaded figure below.

Answers

Answer:

x(y/2 + z)

Step-by-step explanation:

There are two triangles here.

The small triangle which is bound by dotted lines has base = y and height = x

The height of the larger triangle is 2x and its base is y + z

Area of larger triangle = 1/2 ·  2x · (y + z)
= x(y + z) = xy + xz

Area of smaller triangle = 1/2 · x · y = xy/2

Shaded region area = Area of larger triangle - area of smaller triangle

= xy + xz - xy/2

= xy/2 + xz

= x(y/2 + z)

Graph the solution to the inequality on the number line.
w-0.9>-2.1
First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.

Graph the solution to the inequality on the number line.w-0.9>-2.1First select the correct ray. Then

Answers

The solution set for the inequality given in the task content as required is; w > -1.2.

The graph of the inequality on the number line is as represented in the attached image.

What is the graph of the inequality given; w - 0.9 > -2.1?

It follows from the task content that the graph of the inequality w - 0.9 > -2.1 as required is to be determined.

Since the given inequality is; w - 0.9 > -2.1.

The inequality can be solved by first adding 0.9 to both sides of the inequality; Additive property of inequalities;

w - 0.9 + 0.9 > -2.1 + 0.9.

w > -1.2.

On this note, the correct ray is that which points rightwards with an open ring (indicating the > sign).

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Graph the solution to the inequality on the number line.w-0.9>-2.1First select the correct ray. Then

The solution of the inequality is graphed in the number line and attached

How to solve the inequalityWhat is inequality in math?

Inequality, is a mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

Solid dot and hollow dot in inequality

A region on one side of a line can be used to graphically show an inequality.

For the purpose of indicating that a line is not a part of the region, inequality plots that employ the < or > symbols have a hollow dot

Plotting a solid dot indicates that an inequality that uses the symbol  ≤ or ≥ is included in the region.

In the problem, w - 9 > -2.1 will use a hollow dot

w - 0.9 > -2.1

w > -2.1 + 0.9

w > -1.2

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Graph the solution to the inequality on the number line.w-0.9&gt;-2.1First select the correct ray. Then

Solve: 33 + 27 ÷ 9 + (30 ÷ 5)

Answers

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N

Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces​

Answers

Answer:

$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3

$14.40 for 3 dozen I'm pretty sure

What the meaning of "a sequence of length n"?

What the meaning of "a sequence of length n"?

Answers

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

What the meaning of "a sequence of length n"?

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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What is the area of the shaded sector of the circle?9pi units squared27pi units squared81pi units squared162pi units squared.

Answers

The area of the shaded sector of the circle be 27pi units squared.

What does it mean to find the area of a shaded region?

The difference between the area of the complete polygon and the area of the unshaded portion inside the polygon is the area of the shaded region. There are two methods for the area of the shaded component to appear in polygons. The darkened area can be found either in the polygon's center or on one of its sides.

The area of a sector refers to the region of a circle that is bounded by two radii and the adjacent arc. The region contained between two radii and the arc is referred to as a sector's area.

The area (A) of the shaded sector exists estimated as

Area of the shaded sector = area of circle × fraction of circle

\($& =\pi r^2 \times \frac{120}{360} \\\)

substitute the values in the above equation, we get

\($& =\pi \times 9^2 \times \frac{1}{3} \\\)

simplifying the equation, we get

\($& =81 \pi \times \frac{1}{3} \\\)

\($& =27 \pi \text { units }{ }^2\)

The area of the shaded sector of the circle be 27pi units squared.

Therefore, the correct answer is option b) 27pi units squared.

The complete question is:

What is the area of the shaded sector of the circle?

a) 9pi units squared

b) 27pi units squared

c) 81pi units squared

d) 162pi units squared.

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What is the area of the shaded sector of the circle?9pi units squared27pi units squared81pi units squared162pi

The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.

Answers

The length of the diameter of the sphere is 30 cm.

The surface area of a sphere is given by the formula:

\(A = 4\pi r^2\)

where A is the surface area and r is the radius of the sphere.

We are given that the surface area of the sphere is 900π cubic cm. Therefore:

\(A = 4\pi r^2 = 900\pi\)

Dividing both sides by 4π, we get:

\(r^2 = 225\)

Taking the square root of both sides, we get:

r = 15

The diameter of the sphere is twice the radius, so:

d = 2r = 30

Therefore, the length of the diameter of the sphere is 30 cm.

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To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.

To find the number in a square, add the numbers in the two circlesconnected to it.Fill in the missing

Answers

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

square = circle + circle

We can deduce that :

circle = square - circle

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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what fraction of the number are prime numbers from 2 to 14​

Answers

Answer:

i hope you got it.

plz mark brainliest.

what fraction of the number are prime numbers from 2 to 14

A study of the career paths of hotel general managers sent questionnaires to an SRS of 230 hotels belonging to major U.S. hotel chains. There were 119 responses. The average time these 119 general managers had spent with their current company was 11.63 years. (Take it as known that the standard deviation of time with the company for all general managers is 1.3 years.)
Find the margin of error for a 90% confidence interval to estimate the mean time a general manager had spent with their current company.

Answers

Answer:

The value is \(E = 0.196\)

Step-by-step explanation:

From the question we are told that

The sample size is n = 119

The sample mean is \(\= x = 11.63 \ years\)

The standard deviation is \(s = 1. 3 \ years\)

Given that the confidence level is 90% then the level of significance is mathematically represented as

\(\alpha = (100 - 90) \%\)

=> \(\alpha = 0.10\)

The critical value of \(\frac{\alpha }{2}\) obtained from the normal distribution table is

\(Z_{\frac{\alpha }{2} } = 1.645\)

Generally th margin of error is mathematically represented as

\(E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)

=> \(E = 1.645* \frac{1.3}{\sqrt{119} }\)

=> \(E = 0.196\)

Ignore c. I only need help with a and b

Ignore c. I only need help with a and b

Answers

Part A.

The composition of f ang g is given by

\((f\circ g)(x))=f(g(x))=\frac{(3x+7)-7}{3}\)

where we have inserted 3x-7 in the place of x in function f. Then, we have

\((f\circ g)(x))=f(g(x))=\frac{3x+7-7}{3}=\frac{3x}{3}=x\)

Therefore, the answer is

\((f\circ g)(x))=x\)

Part B

Similarly to the previous case, we have

\((g\circ f)(x))=g(f(x))=3(\frac{x+7}{3})-7\)

which gives

\((g\circ f)(x))=g(f(x))=x+7-7=x\)

then, the answer is

\((g\circ f)(x))=x\)

Part C.

In the first case, x belongs to the domain of g and g(x) belongs to the domain of f. Then, the domain of the composition (fog)(x) is all real numbers.

Similarly, in the second case, x belongs to the domain of f and f(x) belongs to the domain of g. Then, the domain of the composition (gof)(x) is all real numbers. Then, the domains are the same (all real numbers).

A student is graduating in 12 months and
receives and unsubsidized Stafford loan with
a 6 month grace period from graduation.
The loan is a total of $8,465 at 5.9%
compounded
monthly.
FV
Rate
Nper
Pmt
Pv
Type

A student is graduating in 12 months andreceives and unsubsidized Stafford loan witha 6 month grace period

Answers

The future value (FV) of the loan after 12 months, after the monthly compounding at an interest rate of 5.9%, is about $8977.98.

What is the future value?

For one to be able to calculate the future value (FV) of the loan, one need to use the formula for compound interest which is:

FV = PV x (1 + r)ⁿ

Where:

PV = Present value (loan amount)

      = $8,465

r = Monthly interest rate

= 5.9% / 12

= 0.004917

n = Number of compounding periods

 = 12 (months)

Pmt = Monthly payment (unknown)

So by  Using these values, one can calculate the future value (FV) of the loan and thus:

FV = $8,465 x (1 + 0.004917)¹²

=  $8,465 x  1.0606

= $8977.98

So, the future value (FV) of the loan after 12 months, as at the monthly compounding at an interest rate of 5.9%, is about $8977.98.

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The sum of nineteen and four times a number equals 39. Suppose x represents the unknown number. Translate this problem into a mathematical statement.

Answers

Answer:

19 + 4x = 39

Step-by-step explanation:

elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).

Answers

There are no equations provided in the question, so I am unable to select equations that represent the number of subscribers in terms of months since the beginning of the year. Please provide me with the equations to choose from.

Gina has 32 items to ship and 11 shipping boxes. The large shipping boxes can hold 4 items each. The small shipping boxes can hold 2 items each. Gina has exactly enough boxes for her items. How many of each type of box does she have?

Answers

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

What is the slope of the line through (-5, -10) and (-1, 5)

Answers

Answer:

Slope = 15/4

Step-by-step explanation:

Use the slope formula and you'll get the same answer.

Hope this helps:)

find the surface area ​

find the surface area

Answers

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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PLEASEEEE HELPPPPPPP!!!!!

PLEASEEEE HELPPPPPPP!!!!!

Answers

To find S or T add them together:

3/5 + 1/3

Rewrite the fractions to have a common denominator

9/15 + 5/15 = 14/15

Answer: 14/15

Step-by-step explanation:

Here is your answer . Hope it helps.

PLEASEEEE HELPPPPPPP!!!!!

write
\( \frac{22 }{4} \)
as a mixed number in its simplest form​

Answers

Hopes this helps:

Answer: 5 2/4

Have a great day.

What's the value of the expression below:

5 3/4 - 1/8

A. 4 1/8
B. 5 0/12
C. 5 1/8
D. 5 3/8

Answers

Answer:

The answer is 5 5/8.

The correct answer is not in the options

Answer:

\(5\frac{5}{8}\)

Step-by-step explanation:

\(5\frac{3}{4} = 5\frac{6}{8} -\frac{1}{8} =5\frac{5}{8}\)

Mark me as brainliest!!

A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10∘ to the horizontal. Calculate the length of the zip wire.

Answers

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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What type of distribution is pictured in this histogram?



Responses

Bimodal

Normal

Skewed

What type of distribution is pictured in this histogram?ResponsesBimodalNormalSkewed

Answers

The type of distribution pictured in this histogram is skewed.

What is a skewed distribution?

A skewed distribution is a statistical distribution that is not symmetrical around its mean or median.

In a skewed distribution, the tail of the distribution is pulled in one direction or the other, resulting in a longer tail on one side than the other.

There are two types of skewed distributions: positively skewed and negatively skewed.

The distribution in the image is positively skewed as its is pulled towards the left.

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if it costs £12 for 4 cakes, what is the cost of 6 cakes?

Answers

it cost £18.you find out how much 2 cakes cost which is £6. then you do £12+£6(sorry if wrong)

Problemas de matemáticas :((solo pongan el resultado pls)

Problemas de matemticas :((solo pongan el resultado pls)

Answers

Answer:

Hola? divertido

Step-by-step explanation:

which table represents a linear function?

which table represents a linear function?

Answers

The answer would be the second one

Answer:

Bottom right table

Step-by-step explanation:

A table will show a linear relationship when there is a common difference. To determine this, we first ensure that the x values are increasing at the same value and then find the difference of consecutive y values.

Top left table

11-7=3

12-11=1

13-12=1

Because the differences between the y values are not all the same, this table does not represent a linear function.

Top right table

9-7=2

12-9=3

15-12=3

Again, there is no common difference, so this table does not represent a linear function.

Bottom left table

The x values are different now but they still increase by the same increment each time, so we continue subtracting the y values normally.

9-7=2

12-9=3

15-12=3

This table does not represent a linear function.

Bottom right table

9-7=2

11-9=2

13-11=2

Because there is a common difference, this table represents a linear function.

I hope this helps!

1. Identify the domain of the graphed function

1. Identify the domain of the graphed function

Answers

It’s A because those are the x values that are used for the points graphed.
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