18,54, 162, ...
Find the 8th term.

Answers

Answer 1

Answer:

a₈ = 39366

Step-by-step explanation:

The terms have a common ratio between consecutive terms

r = 54 ÷ 18 = 162 ÷ 54 = 3

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 18 and r = 3 , then

a₈ = 18 × [tex]3^{7}[/tex] = 18 × 2187 = 39366


Related Questions

3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm square base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the​

Answers

Answer:

Initial volume:

10*10*53 = 5300 cm³

Increased volume:

10*10*54.6 = 5460 cm³

Volume of the medallion:

5460 - 5300 = 160 cm³

Density = mass / volume

Density is:

3.088/160 = 19.3 g / cm³

The journal article that contains the results of the study actually reports that males with
epilepsy have an average of 14+ 9 µg/g of copper in their scalp hair.

What do you think
14 + 9 means in this situation?

Answers

The value of the equation A = 14 ± 9 μg/g and the term ±9 represents the margin of error

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 14 ± 9 μg/g   be equation (1)

Now , the value of A can have two values p and q

where , the value of p = 14 + 9 μg/g

p = 23 μg/g

And , the value of q = 14 - 9 μg/g

q = 5 μg/g

On simplifying the equation , we get

It means the margin of error which is no sampling method can guarantee that the sample matches the exact population

]Hence , the researchers are confident that the true average concentration for all the males with epilepsy in the study is between 5 μg/g and 23 μg/g

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The graph below models the value of a $20,000 car fyears after it was purchased.
20000
18000
16000
14000
12000-
10000
8000
6000
4000
2000-
Dollars
Value of Car
52:25
2 4 6 8 10 12 14 16 18 t
Years
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
A. Each car value y, is associated with exactly one time, t.
B. Each time, t, is associated with exactly one car value, y.
C.The rate at which car decreases in value is not constant.

Answers

Your answer should be B. Each time, t, is associated with precisely one car value, y.

this diagram shows 3cm x 5 cm x 4 cm cubiod
find ac give your answer in 2 decimal place

Answers

The length AC will be 5.83 and the angle ACD will be 34.45°.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

The length AC will be calculated as,

AC² = 5² + 3²

AC = √ ( 25 + 9 )

AC = √34

AC = 5.83

The angle ACD will be,

tanθ = P / B

θ = tan⁻¹ = ( 4 / 5.83)

θ = 34.45°

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Ava has 2 dozen pencils. 3/8 of them are sharpened. how many of them are sharpened?

Answers

Answer:

3/8 of 24 is 9

9 of her pencils are sharpened.

Can u please help.............

Answers

The rotation about the center that can map an equilateral triangle onto itself is C. 120 degrees.

What angle rotates an equilateral triangle onto itself ?

There are three equal sides and angles in an equilateral triangle which is 60 degrees each. This means that an equilateral triangle can be divided into  three-axis of symmetry such that there are three lines dividing the triangle.

Should this happen, then the angle to rotate the triangle and map it onto itself would be 120 degrees as each of these axes of symmetry measure 120 degrees.

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Write an expression to represent the area of the shaded region in simplest from

Answers

We know that the area of a square/rectangle is the multiplication of its length by its width. We also know that this specific area does not include the blank region, therefore we need to subtract it from the area of the shaded region!

We can come up with two expressions:

Shaded Area:

[tex](5x + 2)(3x - 1)\\= 15x^2-5x+6x-2\\=15x^2+x-2[/tex]

Blank area:

[tex](x)(x+7)\\x^2+7x[/tex]

Now all we have to do is subtract the blank area's expression from the shaded area's and simplify since the question asks for the simplest form.

[tex](15x^2+x-2)-(x^2+7x)\\15x^2-x^2+x-7x-2\\14x^2-6x-2[/tex]

Therefore, your final answer should be:

14x^2 - 6x - 2

Given function g, which is defined by g(x)=x to the power of 3 -x , what is the value of g(3)?

Answers

Really sorry, misunderstood the equation. This is the answer though.

Answer:

24

Step-by-step explanation:

We have our function g(x) = [tex]x^{3}[/tex] - x

Now, we will substitute 3 in for x, giving us:

[tex]3^{3} - 3[/tex]

Now, we will simplify our exponent, giving us:

27 - 3 = 24

So your answer is 24.

Hope this helped!

Rearrange x = 3g + 2 to make g the subject​

Answers

Answer:

[tex]g=\frac{x}{3} -\frac{2}{3}[/tex]

Step-by-step explanation:

You divide 3 from both sides leaving you with g=(x/3)-(2/3)

Please mark my answer as brainlyest.

The value of g can be rearranged by the expression  x = 3g + 2  is [tex]\dfrac{x-2}{3}[/tex].

A collection of constants, variables or numbers connected using one or more arithmetic operator is called an expression

Example = 4y, 3x+4.

Given expression:

x = 3g + 2

Subtract 2 from both the sides:

x-2 = 3g + 2-2

x-2 = 3g

Divide both side by 3 to get the value of g

[tex]\dfrac{x-2}{3} = g[/tex]

Thus, the rearrangement of the expression  x = 3g + 2 in the form of g is [tex]\dfrac{x-2}{3}[/tex].

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find the area of a rectangular garden with side length of 4x+11 and 2x+5

find the perimeter of the garden in the problem

Answers

Answer:

just ask your teacher for clarification, then you will actually learn...

6000 plus 3000 plus 100 plus 40 plus 8

Answers

Answer:

9148

Step-by-step explanation:

6000 + 3000 would equal 9000.

100 + 40 + 8 would be 148

9000 + 148 = 9148

Answer:

9148

Step-by-step explanation:

A scientist wants to know how many catfish are in
Clear Lake. She and her team capture 48 catfish,
which they tag and release. The next week, they
capture 60 catfish, 3 of which have been tagged.
About how many catfish are in Clear Lake?

Answers

Answer:

105 catfish

Step-by-step explanation:

48 - 3 = 45

45 + 60 = 105

A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?

Answers

Answer: C (The Last One)

Step-by-step explanation:

The answers correct because, If the range and median is 13 that means that the highest and lowest point equal 13 and the middle/the line in the graphs should be on 13. A doesn't have the line/median on 13 so it is not that answer. But B and C have the line/median on the line so we just have to check the range. The range of B is: 9, The range of C is: 13. So based off that we know that the answer is C.

Hope This Helps!

The Fudd family is attending a family reunion. They plan to rent a

car from the ABC Car Rental Company. Let m represent the number

of miles the family will drive. Let c represent the cost for renting a

car. Complete problems

Answers

The complete problem equation will be c = k*m + b

The cost equation for renting a car from the ABC Car Rental Company in terms of the number of miles driven, m, and the cost, c, would likely take the form of:

c = k*m + b where k is the rate of cost per mile and b is the fixed cost for renting the car independent of the miles driven.

It is important to note that this is a general equation and the specific cost equation of the ABC Car Rental Company is not provided. Also, this equation assumes that the cost of renting a car is linear to the miles driven, which may not be the case in practice. Other factors such as the type of car and duration of the rental period could also be included in the cost equation.

Therefore, the problem equation will be c = k*m + b

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∠A and \angle B∠B are upplementary angle. If \text{m}\angle A=(7x-11)^{\circ}m∠A=(7x−11)

and \text{m}\angle B=(x-25)^{\circ}m∠B=(x−25)

, then find the meaure of \angle B∠B

Answers

The measure of ∠B is (x - 25)° = (27 - 25)° = 2°.

What are supplementary angles?

Supplementary angles are two angles that add up to 180 degrees. They are angles that when placed together will form a straight line. They are called "supplementary" because they "supplement" each other to form a straight angle.

When two angles are supplementary, their measures add up to 180 degrees. So, if ∠A and ∠B are supplementary, then:

m∠A + m∠B = 180

Given that m∠A = (7x - 11)° and m∠B = (x - 25)°, we can substitute these values into the equation:

(7x - 11)° + (x - 25)° = 180

Simplifying this equation by combining like terms:

8x - 36 = 180

Adding 36 to both sides:

8x = 216

Dividing both sides by 8:

x = 27

Hence, the measure of ∠B is (x - 25)° = (27 - 25)° = 2°.

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The measure of ∠B is (x - 25)° = (27 - 25)° = 2°.

What are supplementary angles?

Supplementary angles are two angles that add up to 180 degrees. They are angles that when placed together will form a straight line. They are called "supplementary" because they "supplement" each other to form a straight angle.

When two angles are supplementary, their measures add up to 180 degrees. So, if ∠A and ∠B are supplementary, then:

m∠A + m∠B = 180

Given that m∠A = (7x - 11)° and m∠B = (x - 25)°, we can substitute these values into the equation:

(7x - 11)° + (x - 25)° = 180

Simplifying this equation by combining like terms:

8x - 36 = 180

Adding 36 to both sides:

8x = 216

Dividing both sides by 8:

x = 27

Hence, the measure of ∠B is (x - 25)° = (27 - 25)° = 2°.

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The graph of a quadratic function passes through the points (0,-4) and (-2,0). What is the zero of the function?
Please no links and if you can, show your work.

Answers

Answer:

2 I believe 2? hopefully I'm right

The equations y+x^2+6x+8 and y =(x+2) (x+4) both define the same quadratic function. Without graphing, identify the x- and y-intercepts of the graph. Explain how you know.

please help!

Answers

Answer:

we get the  

x-intercepts setting y=0 and the in the equation

y-intercept setting x=0 in the equation.

Step-by-step explanation:

x-intercepts( y=0)

[tex]0=x^2+6x+8=(x+2)(x+4)[/tex]

Hence x=-2 and x=-4 ( We got two x-intercepts)

y-intercept( x=0)

[tex]y=0^2+6(0)+8=8[/tex].

the y intercept is y=8 ( only is possible to find no more thant one).

Answer:

x-intercept=

x=-2

x=-4

y-intercept=

y=8

Step-by-step explanation:

0(y)=(x+2) (x+4)

so we had to substract it to get 0. therefore x intercept is that

y+x^2+6x+8

ax^2+bx+c

c is always y intercept

I AM GIVING 30 POINTS!!!!!!!! TO WHOEVER ANSWERS THIS!!!! PLEASEPedro loves to try new adventures. His most recent was jumping out of an airplane. His special watch tells him his altitude. He set a timer at the moment he opened his parachute. His altitude relative to sea level, A, in feet, which is a function of time, in minutes, is shown in the table below. A t 11,100 4 7200 8 3300 12 A function could be written to describe the decent: Blank 1 = (Blank 2 )t + Blank 3

Answers

Answer:Sorry cant find

Step-by-step explanation:

A function that could describe Pedro's descent is:

A(t) = -1100t + 11100

Where:

Blank 1 represents the altitude, A, in feet.
Blank 2 represents the rate of descent, which is 1100 feet per minute.
Blank 3 represents the initial altitude, which is 11100 feet.

Pla answer asap I really need help on this

Answers

Answer:

measure of 1 = 117 degrees

measure of 2 = 63 degrees

*x = 39

Step-by-step explanation:

m1 = 3 x 39 = 117

m2 = 39 + 24 = 63

117 + 63 = 180 degrees

m∠1 = 3x and m∠2 = x + 24

now,

m∠1 + m∠2 = 180° (angle made in straight line)

3x + x + 24 = 180°

4x = 180-24

4x = 156

x = 156/4

x = 39°

also, 3x = 3×39 = 117

x + 24 = 39 + 24 = 63

HELP ASAP! Its due in 10 minutes!!! NO FILES!!

Answers

Answer:

d. 204

Step-by-step explanation:

Each triangle is 1/2 bh

base is 10x8

each side is 10x5

all that equals 204 inches squared

Please help me I do not have much time and pls no scam answers

Answers

.55 is my guess but im so sorry if its wrong

Two dice are rolled at the same time. The first die shows a 2. Given that is a random variable that represents the sum of the results shown by the two dice, what are the possible values of X?

Answers

Answer:

3 ≤ X ≤ 8

Step-by-step explanation:

A die has 6 faces numbered from 1 to 6.

If two dice are rolled at the same time and the first die already shows a 2. Then the second die will show any number between 1 and 6 inclusive.

X which is the sum of the results shown by the dice will always be greater than or equal to 3 but less than or equal to 8. This is because the first die already shows a 2 and the second die will always be a number between 1 and 6 inclusive. i.e

X = result from die 1 + result from die 2

X = 2 + [1, 6]

X = [3, 8]

In other words, the minimum value of X is 3 and the maximum value of X is 8.

Copy each segment.Then construct its perpendicular bisector



(help plz i gift a crown​

Answers

Answer:no explanation ?

Step-by-step explanation:

PLEASE HELP!! I will give brainliest!!

Drag the key features to the correct location on the image.

Each key feature can be used more than once, but not all key features will be used.
Which key features are present in these three functions?

Answers

Answer:

See screenshot attached that shows it is correct

Step-by-step explanation:

f(x) has a domain of (-infinity, 6) U (6, infinity). Horizontal asymptote of y= -2

g(x) has a domain of (-infinity, -3) U (-3,2) U (2,infinity). Horizontal asymptote of y=1.

h(x) has a domain of (-infinity, 6) U (6, infinity). Function has a oblique asymptote.

The function [tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex], the function [tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex] will have a domain of [tex](-\infty,-3)\cup(-3,2)\cup(2,+\infty)[/tex], and the function [tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex].

Given information:

The given functions are:

[tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex]

[tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex]

[tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex]

For a rational function, the denominator should not be equal to zero.

So, the domain of the first function will be,

[tex]x-6\neq0\\x\neq6\\(-\infty,6)\cup(6,+\infty)[/tex]

The function [tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex] will form a vertical asymptote at [tex]x=6[/tex].

The domain of the second function will be,

[tex]x^2+x-6\neq0\\x^2+3x-2x-6\neq0\\(x+3)(x-2)\neq0\\x\neq2, -3\\(-\infty,-3)\cup(-3,2)\cup(2,+\infty)[/tex]

The function [tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex] will form a vertical asymptote at [tex]x=-3[/tex] and a horizontal asymptote at [tex]y=1[/tex].

The domain of third function h(x) will be,

[tex]x-6\neq0\\x\neq6\\(-\infty,6)\cup(6,+\infty)[/tex]

Now, the third function [tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex] will form an oblique asymptote, and a vertical asymptote at [tex]x=6[/tex].

The graph of each function is attached to the image.

Therefore, the function [tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex], the function [tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex] will have a domain of [tex](-\infty,-3)\cup(-3,2)\cup(2,+\infty)[/tex], and the function [tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex].

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What’s 4/7x13/9 ?




Please help

Answers

0.82539682539 is the answer

Answer:

if it is a fraction then it is [tex]\frac{52}{63\\}[/tex]

Step-by-step explanation:

could someone please check my answer and explain? im not sure if im doing this right

Answers

Answer:

[tex]V=1071.78\ cm^3[/tex]

Step-by-step explanation:

Given that,

The radius of the cone, r = 8 cm

The height of the cone, h = 16 cm

We need to find the volume of the cone. The formula for the volume of the cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 8^2\times 16\\\\V=1071.78\ cm^3[/tex]

So, the volume of the cone is equal to [tex]1071.78\ cm^3[/tex].

Susannah bought eggs for $0.79/dozen. She spent a total of $6.32. How many dozen eggs did Susannah buy?

a. Write an equation of the form ax =b that will answer the question

Answers

Answer:

8 dozens ...............

Use an inverse function to write θ as a function of x.

Answers

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{3}[/tex] , then

θ = arctan [tex]\frac{x}{3}[/tex] → C

The required inverse function would be θ = arctan x/3. The correct answer would be an option (C).

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

Using the tangent ratio, we have:

tan θ = perpendicular/base

Here, perpendicular = x and base = 3

As per the figure, substitute the values in the above ratio:

tan θ = x/3

Using an inverse function to write θ as a function of x:

θ = tan⁻¹ x/3

This can be also written as:

θ = arctan x/3

Therefore, the required inverse function would be θ = arctan x/3.

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plz help will mark brainliest

Answers

Answer:

50.4

Step-by-step explanation:

help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)

Answers

I have a question for you to answer your question about the north north side of the revolution his father relationship is a stronger relationship with his
Other Questions
Which is not an advantage of issuing bonds instead of common stocks:O Possible tax savingsO Theres no impact on the stockholder controlO Common shareholders may have their income increaseO The common stock earnings per share may be lowerO None of the above what's the time now? 1. What is purchasing power parity hypothesis? Is PPP realistic or not? Why? Kade has $45 in savings and wants to purchase a video game console for $250. He has a coupon for 10% off, and sales tax is 8.25%. In order to be financially responsible, Kade wants to wait until he has enough in savings to not have to borrow money. If Kade is able to save $45 each week, what is the minimum amount of weeks Kade should save before making his purchase? Damian owns a small business with about 20 employees. He knows that pilferage can cost his company a lot over the course of a year, even if it is just small things. What is MOST effective way for Damian to prevent his employees from stealing?A. Install cameras all over to watch the employeesB. Pay his employees a decent wage, so they are happyC. Publicly fire any employee who is caught pilferingC. Report any missing items immediately to law enforcement. If the figure is translated 4 units left what are the coordinates Complete this sentence. If the cone of force is facing an observer, the impact comes from the ________ side of the observer. left same right opposite Ok can someone help me with this? 1. How were the Marshall Plan and the Molotov Plan were similar?Both called for drastic increases in military arms.Both criticized the existence of nuclear weapons and called for their destruction.Both offered financial assistance to countries in return for their loyalty.Both established military alliances. List some examples of scientific writing, and some examples of writing that are not scientific writing. Read the following article on Gertrude Elion. Then, read the summary that follows. You will notice that the summary is incorrectly written. In this lesson, you learned six rules for writing an effective summary. Using this information, make three specific suggestions that would improve this ineffective summary.Important note: Do NOT write a summary. You will write three suggestions for improving this summary. Your suggestions must be based on the six rules of effective summaries that you learned in the lesson.Complete article from Encyclopedia BritannicaU.S. pharmacologist (one who studies drug interactions) Gertrude B. Elion received the Nobel prize for medicine in 1988 along with George H. Hitchings and Sir James W. Black. The three were awarded the prize for their development of drugs used to treat several major diseases.Gertrude Belle Elion was born on Jan. 23, 1918, in New York City. She graduated from Hunter College in New York City with a degree in biochemistry in 1937. Unable to obtain a graduate research position because she was a woman, she took a series of jobs, including lab assistant, chemistry and physics teacher in New York City high schools, and research chemist. During this time she also took classes at New York University, where she earned a master's degree in 1941. Because she could not devote herself to full-time studies, Elion never received a doctorate.In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes. Their success was due primarily to their innovative (characterized by new or unique) research methods. Rather than using the trial-and-error approach used by previous pharmacologists, Elion and Hitchings examined the difference between the biochemistry of normal human cells and that of cancer cells, bacteria, viruses, and other pathogens (disease-causing agents). They used this information to create drugs that could target a particular pathogen without harming the human host's normal cells. Their methods enabled them to eliminate much of the guesswork and wasted effort typical in previous drug research.Although Elion officially retired in 1983, she helped oversee the development of azidothymidine (AZT), the first drug used in the treatment of AIDS. In 1991 she was awarded a National Medal of Science and was inducted into the National Women's Hall of Fame. She died on Feb. 21, 1999, in Chapel Hill, N.C.Student J. Doe's SummaryGertrude Elion was born in 1918 in New York City. She went to school for many years and eventually won the Nobel prize. 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