12, x, y, 324, 972, find the sum of x and y (a) 144 (b) 52 (c) 75 (d) 109​

Answers

Answer 1

Answer: The value of the sum of x and y is (a) 144.

Step-by-step explanation:

Given, The sequence is a Geometric Sequence.

Initially,

=> 4x3 , x , y , 324, 324x3

=> 4x3, x, y, 4x3x3x3x3, 4x3x3x3x3x3

From above,

We can deduce that,

=> x = 4 x 3 x 3

=> x = 36

Also,

=> y = 4 x 3 x 3 x 3

=> y = 108

The values of x and y are 36 and 108

Now, We can evaluate the sum of x and y,

=> x + y = 36 + 108

=> x + y = 144

Therefore, The sum of x and y is 144. Hence, option (a) is correct.

To learn more about the sum of x and y,

https://brainly.in/question/8709063


Related Questions

the answer is 120 I need two possible number sentences using division pls

Answers

Answer:

240/2, 360/3

Step-by-step explanation:

240/2 and 360/3 both involve division and both of their answers are equal to 120, assuming these count as number sentences.

A sled is at rest at the top of a slope 2 m high. The sled has a mass of 45 kg. What is the sled’s potential energy? (Formula: PE = mgh)

Answers

The sled's potential energy can be calculated using the formula PE = mgh, where m is the mass of the sled, g is the gravitational force, and h is the height of the slope. In this case, the mass is 45 kg, the gravitational force is 9.81 m/s2, and the height of the slope is 2 m. Therefore, the potential energy of the sled is 882.9 Joules (PE = 45 x 9.81 x 2 = 882.9 J).

hope this helped :)

in a magnetometry experiment, after a minute of collecting data the statistical noise was reduced to 1 picotesla. for how many more minutes should data be collected in order to reduce the random error by a factor of 10

Answers

In a magnetometry experiment, It will take 1 more minute for data be collected in order to reduce error the statistical noise by a factor of 10.

To reduce the random error by a factor of 10, we need to reduce the statistical noise to 1/10 picotesla. Since the statistical noise was initially 1 picotesla, this means we need to reduce it by a factor of 10.

We can use the following formula to calculate the time needed to reduce the statistical noise by a certain factor:

t = (log (final noise / initial noise)) / (log (reduction factor))

Here, the final noise is 1/10 picotesla, the initial noise is 1 picotesla, and the reduction factor is 10.

Plugging in these values, we get:

t = (log (1/10 / 1)) / (log (10))

t = (log (1/10)) / (log (10))

t = -1 / 1

t = -1

The negative value of t doesn't make sense in this context, so we need to take the absolute value:

t = |-1|

t = 1

Therefore, it will take 1 more minute to reduce the statistical noise by a factor of 10.

To know more about standard error :

https://brainly.com/question/14615113

#SPJ4

____The given question is incomplete, the complete question is given below:

Reduction of the standard error

In a magnetometry experiment, after a minute of collecting

data the statistical noise was reduced to 1 picotesla.

For how much longer should data be collected in order

to reduce the random error by a factor of 10?

A bank account has an initial balance of $150. Over a one-week period the following occurred.
• $180 was spent on shoes.
• $300 of debt was added to the account as a cash advance.
• $250 of debt was repaid.
• $110 of debt was added because of a bank fee.
• $150 of debt was removed with a cash deposit.
What was the balance of the account at the end of the week?

Answers

To find the balance of the account at the end of the week, we need to calculate all the transactions:

Initial balance: $150

Shoes: -$180

Cash advance: +$300

Repaid debt: -$250

Bank fee: +$110

Cash deposit: -$150

So the final balance would be $150 - $180 + $300 - $250 + $110 - $150 = $-70.

This means the balance of the account at the end of the week would be -$70.

EFGHI~ WVUTS. Find EI and ST.
I
E 16
16
H
Submit
24
24
G
T
S
U
Write your answers as decimals or whole numbers.
EI =
ST=
18
W
18

Answers

The side lengths on the similar polygons are given as follows:

EI = 16.ST = 27.

What are similar polygons?

Similar polygons are polygons that share these two features presented as follows:

Congruent angle measures.Proportional side lengths.

Considering the equivalent side lengths, the proportional relationship for the side lengths in this problem is given as follows:

18/16 = 18/EI = ST/24.

Hence the length of EI is given as follows:

EI = 16.

The length of ST is obtained as follows:

18/16 = ST/24

16ST = 18 x 24

ST = 18 x 24/16

ST = 27.

More can be learned about similar polygons at brainly.com/question/14285697

#SPJ1


Given that BF =5, find FE.

Answers

According to the above, we can infer that the value of FE is: 10 cm

How to find the value of FE?

To find the value of FE we must analyze the image of this triangle. Additionally, we must take into account the information we know, that is, the length of two sides (5 cm) and the height (4 cm), the area (20cm²).

So we must use the formula for the area of a triangle and isolate the values that we do know to find the value of the base.

A = b * h / 220cm² * 2 / 4 = 10cm

According to the above, the value of segment FE is 10 cm.

Note: This question is incomplete. Here is the complete information:

Learn more about triangles in: https://brainly.com/question/2773823

#SPJ1

NEED THIS ASAP
Find m/EFG.
m/EFG

Answers

Answer: 41 degrees

Step-by-step explanation:

121-39=82

82/2=41

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 3, -15, 75, ...3,−15,75,....

Answers

The explicit formula for the geometric series is [tex]a_n = 3(5)^{n-1}[/tex].

What is geometric progression?

A geometric series is one in which there is a constant separating the two succeeding numbers. In other words, to create a geometric progression, each succeeding term is multiplied by the constant term.

Given that the geometric sequence is,

3, 15, 75......

The common ratio of the series is calculated as the ratio of the second term to the first term,

r = 15 / 3

r = 5

The explicit formula can be written as:-

[tex]a_n = a_1(r)^{n-1}[/tex]

[tex]a_n = 3(5)^{n-1}[/tex]

Therefore, the formula is [tex]a_n = 3(5)^{n-1}[/tex].

To know more about geometric progression follow

https://brainly.com/question/12006112

#SPJ9

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to:

Answers

Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.

The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.

To learn more about standard deviation click here

brainly.com/question/29088233

#SPJ4

Complete Question

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?

how many square feet of outdoor carpet will we need for this hole 12ft 7ft 2ft 3ft

Answers

Amount of square feet of outdoor carpet needed for the hole is 6 feet².

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given is a triangular region with a hole in the shape of a rectangle.

We need to find the area of the hole in order to find the amount of square feet of outdoor carpet needed for the hole.

Area of a rectangle = Length × Width

From the figure,

Length = 3 feet and Width = 2 feet

Area = 3 × 2 = 6 feet²

Hence 6 feet² of outdoor carpet is needed for the hole.

Learn more about Area of Rectangle here :

https://brainly.com/question/8663941

#SPJ9

an online coupon service has offers for free samples. part: 0 / 20 of 2 parts complete part 1 of 2 (a) how many different requests are possible if a customer must request exactly free samples? the number of different requests is .

Answers

The number of possible requests for free samples is 5^1 = 5. This means that the customer has 5 different requests that they can make for free samples.

The number of possible requests for free samples can be calculated using the combination formula. The combination formula is used to calculate the number of combinations with repetitions of size “n” taken from a set of “r” elements . The formula is: [tex]C(n,r) = n^r[/tex] In this case, n = number of requests (1 request) and r = number of free samples offered (let’s say, 5). Therefore, the number of possible requests for free samples is[tex]5^1 = 5.[/tex]This means that the customer has 5 different requests that they can make for free samples.

Learn more about samples here:

https://brainly.com/question/15659544

#SPJ4

-11x-11 ≥ −6+13x
X <

Answers

The answer is X < -2. To solve this equation, you need to isolate the x-variable on one side of the equation. First, use distributive property to expand the equation: -11x - 11 ≥ -6 + 13x. Then, combine like terms: -24x ≥ -6. Lastly, divide both sides by -24: x ≤ -6/24 or x < -2.

compatible numbers are used to estimate this sum. 181 204 which estimate is the most accurate? responses 350 350 375 375 425 425 450

Answers

The most accurate estimated sum of 181 and 204 is 380

The given numbers are 181 and 204

The compatible numbers are defined as the numbers that are easy to do the arithmetic operations. The arithmetic operations are addition, subtraction, division and multiplication etc.

To find the sum of the compatible numbers first we have to round the given numbers to the nearest tens or hundreds and do the the arithmetic operation

Round 181 to the nearest tens = 180

Round 204 to the nearest tens = 200

Then the sum of compatible numbers will be

180 + 200 = 380

Therefore, the most accurate estimation is 380

Learn more about compatible numbers here

brainly.com/question/627054

#SPJ4

A certain number is multiplied by 4 and the results equals 8 less than 8 times of the number. Find the number

Answers

The number is 2. To find the unknown number that satisfies the equation "4x = 8x - 8," we can simplify and solve for x, which gives us the answer x = 2.

Let's call the unknown number "x".
According to the problem statement, "A certain number is multiplied by 4 and the result equals 8 less than 8 times of the number" can be translated into the following equation:
4x = 8x - 8
Simplifying this equation, we can move 4x to the right side of the equation:
4x - 8x = -8
Simplifying further, we get:
-4x = -8
Dividing both sides by -4, we find:
x = 2
Therefore, the number is 2.

Learn more about mathematics here: brainly.com/question/24600056

#SPJ4

Measure & T The optimal tilt for Keenan's solar panelis between 58° and 60° to the horizontal. Has Keenan placed his solar panel at an optimal angle? ​

Answers

Keenan has placed his solar panel at an optimal angle.

How determine if Keenan has placed his solar panel at an optimal angle?

The cosine law is a mathematical relationship between the sides and angles of a triangle. The cosine law states that:

cos(C) = (a² + b² - c²) / 2ab

where a, b, and c are the lengths of the sides of the triangle and C is the measure of one of the angles. This law can be used to find unknown side lengths or angle measures in a triangle when given the other values.

Check the attached image for labelling.

The angle we are trying to calculate is labelled C.

cos (C) = (20² + 18² - 19²) / (2*20*18)

cos (C) = 363/720

C = cos⁻¹(363/720)

C = 59.72°

Since the angle obtained is between 58° and 60°. Thus, Keenan has placed his solar panel at an optimal angle.

Learn more about cosine law on:

https://brainly.com/question/8823652

#SPJ1

Complete Question

Check the attached image for complete question

I NEED HELP!!!!!!
Workers install 840 chairs at a constant rate. After 5 days, the workers still have to install 240 chairs. How much time does it take to install the chairs from start to finish?

Answers

Let's call the time it takes to install all the chairs from start to finish "t". The workers install 840 chairs per day, so in "t" days they will have installed 840 * t chairs.

At the end of 5 days, they still have 240 chairs to install, so they have installed 840 * 5 chairs so far. We can use this information to write an equation:

840 * t - 840 * 5 = 240

Expanding and simplifying the equation gives us:

840t - 4200 = 240

Adding 4200 to both sides gives us:

840t = 4440

Finally, dividing both sides by 840 gives us:

t = 5.2857142857...

So it takes approximately 5.29 days to install all the chairs from start to finish.

Find the prime factorization of
the number 90.
Order the factors from least to greatest.
Remember, 1 is not a prime number.
[ ] × [ ] × [ ] × [ ]
Enter the number that belongs in the green box.

Answers

Answer:

2 × 3 × 3 × 5 = 2 × 3 × 3 × 5

Step-by-step explanation:

The prime factorization of 90 is 2 × 3 × 3 × 5, so the prime factors are 2, 3, 3, and 5. Ordering the factors from least to greatest, we have:

2 × 3 × 3 × 5 = 2 × 3 × 3 × 5.

a student committee has 6 membersâ€""4 undergraduate and 2 graduate students. a subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally likely to be selected. what is the probability that there will be no graduate students on the subcommittee?

Answers

The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in

(4 choose 3) = 4 ways.

The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in

(6 choose 3) = 20 ways.

Therefore, the probability that there will be no graduate students on the subcommittee is:

Number of subcommittees with only undergraduate students / Total number of possible subcommittees

= 4 / 20

= 1/5

= 0.2

So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

Learn more about probability :

https://brainly.com/question/30034780

#SPJ4

The function P(n) = 108 + 10 log(n) gives the
total sound power in decibels when n drill presses are operating in a factory. What is the total sound power, to the nearest decibel, when three drill presses are operating?

Answers

112.8 is the the total sound power, when three drill presses are operating

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given that a function P(n) = 108 + 10 log(n) gives the total sound power in decibels when n drill presses are operating in a factory.

We need to find the total sound power, to the nearest decibel, when three drill presses are operating

We have to consider n as 3

P(3) = 108 + 10 log(3)

=108+10×0.477

=108+4.77

=112.77

Hence, 112.8 is the the total sound power when three drill presses are operating

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ1

HELP ASAP, WILL GIVE BRAINLIEST

Where is the above note played on the guitar?

Open second string
Open third string
Second string, first fret
Third string, second fret

Answers

Answer:

Second string, first fret.

Step-by-step explanation:

What is the formula used to calculate the surface area for a square pyramid?

Answers

The formula used to calculate the surface area of a square pyramid is A = a^2 + 2a[tex]\sqrt{\frac{a^2}{4}+h^2 }[/tex]

The square pyramid is the geometric shape that has a square base and 4 lateral face. The total number of faces will be five. The base shape is square and the side shape will be triangle. Number of edges in the square pyramid is eight

The surface area is the amount space covered by the surface of the object

Here the surface area of the square pyramid is

A = a^2 + 2a[tex]\sqrt{\frac{a^2}{4}+h^2 }[/tex]

Where A is the surface area of the square pyramid

a is the base edge

h is the height of the square pyramid

Therefore, the surface area is A = a^2 + 2a[tex]\sqrt{\frac{a^2}{4}+h^2 }[/tex]

Learn more about square pyramid here

brainly.com/question/28701701

#SPJ4

An online furniture store sells chairs for $100 each and tables for $450 each. Every
day, the store can ship at most 16 pieces of furniture and must sell at least $3000
worth of chairs and tables. If 9 chairs were sold, determine the minimum number of
tables that the store must sell in order to meet the requirements.

Answers

The minimum number of tables the store must sell is 5.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Using t and c as variables, we get

100c + 400t ≥ 3000

c+t≤16

The online furniture store must sell at least $3000 worth of chairs and tables each day, and can ship at most 16 pieces of furniture.

If the store sells 9 chairs for a total of $900, it needs to sell at least 5 tables to reach a total revenue of $3000.

Since the total number of pieces of furniture sold is 14 (9 chairs + 5 tables), which is less than the maximum of 16, the store meets the daily shipping requirement.

Therefore, the minimum number of tables the store must sell is 5.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ9

Which choice names a chord of circle F?

FE

BA

A and F

FD

Answers

Answer:

BA

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle which passes through the center of the circle.

Determine which differential equation corresponds to each phase line. You should be able to state briefly how you know your choices are correct. ? 1. ? 2. ? 3. ? 4. ? 5. ? 6. ? 7. ? 8

Answers

The differential equations given correspond to phase lines with slopes that depend on the power of the x term in the equation.

1. y' = x: This differential equation corresponds to a phase line with a slope of 1, since the y' term is equal to the x term.

2. y' = -x: This differential equation corresponds to a phase line with a slope of -1, since the y' term is equal to the negative of the x term.

3. y' = [tex]x^2[/tex]: This differential equation corresponds to a phase line with a slope of 2x, since the y' term is equal to the x squared term.

4. y' = [tex]-x^2[/tex]: This differential equation corresponds to a phase line with a slope of -2x, since the y' term is equal to the negative of the x squared term.

5. y' =[tex]x^3[/tex]: This differential equation corresponds to a phase line with a slope of [tex]3x^2[/tex], since the y' term is equal to the x cubed term.

6. y' = [tex]-x^3[/tex]: This differential equation corresponds to a phase line with a slope of [tex]-3x^2[/tex], since the y' term is equal to the negative of the x cubed term.

7. y' = [tex]x^n[/tex]: This differential equation corresponds to a phase line with a slope of [tex]nx^(n-1)[/tex], since the y' term is equal to the x to the power of n term.

8. y' = -[tex]x^n[/tex]: This differential equation corresponds to a phase line with a slope of [tex]-nx^(n-1),[/tex] since the y' term is equal to the negative of the x to the power of n term.

In summary, the differential equations given correspond to phase lines with slopes that depend on the power of the x term in the equation.

Learn more about differential equations here:

https://brainly.com/question/14620493

#SPJ4

Complete question:

Determine which differential equation corresponds to each phase line. You should be able to state briefly how you know your choices are correct. ?

1.  y' = x

2. y' = -x

3.  y' = [tex]x^2[/tex]

4. y' = [tex]-x^2[/tex]

5.y' =[tex]x^3[/tex]

6.y' = [tex]-x^3[/tex]

7. y' = [tex]x^n[/tex]

8. y' = -[tex]x^n[/tex]

15a2+12b-9a2 Solve with step by step please

Answers

Answer:

(assuming the 2 was an exponent, if I am wrong don't use this answer) 6a^2 + 12b

Step-by-step explanation:

Add like terms

6a^2 + 12b

A triangle has a perimeter of 9x 6. the first side of the triangle has a length of 5x, and the second side has a length of 3x − 7. what is the length of the third side of the triangle? x 13 x − 1 8x − 7 17x − 1

Answers

The length of the third side of a triangle with perimeter 9x + 6 and measures of other two sides of the triangle is equal to option a. x + 13.

Perimeter of the triangle is equal to

= 9x + 6

First side of the triangle = 5x

Second side of the triangle = 3x - 7

Let 'n' be the third side of the triangle

perimeter of the triangle = 9x + 6

⇒ 5x + 3x - 7 + n = 9x + 6

⇒ n + 8x - 7 = 9x + 6

⇒ n = 9x -8x + 6 + 7

⇒ n = x + 13

Therefore, the third side of the triangle with given perimeter of the triangle is equal to option a. x + 13.

The above question is incomplete , the complete question is :

A triangle has a perimeter of 9x + 6. the first side of the triangle has a length of 5x, and the second side has a length of 3x − 7. what is the length of the third side of the triangle?

a. x + 13       b. x − 1            c. 8x − 7         d. 17x − 1

Learn more about perimeter here

brainly.com/question/6465134

#SPJ4

Which equation represents the relationship shown in the table?

Answers

Answer:

Diatance biked = rate • time

PLEASE HELP!!! ITS DUE SOON!

Answers

The solutions to the system of linear equation (x, y) are 1 and 4/3 respectively

What is system of linear equation

A system of linear equations is a collection of two or more linear equations with the same variables. The goal of solving a system of linear equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

From the question given;

-x + 6y = 7 ...eq(i)

6x - 30y = -34 ...eq(ii)

From eq (i)

x = 6y - 7 ..eq (iii)

Put eq (iii) into eq (ii)

6(6y - 7) - 30y = -34

36y - 42 - 30y = -34

6y - 42 = -34

6y = -34 + 42

6y = 8

y = 4/3

Put y = 4/3 into eq (i)

-x + 6(4/3) = 7

-x + 24 / 3 = 7

x = 24/3 - 7

x = 1

Learn more on system of linear equation here;

https://brainly.com/question/13729904

#SPJ1

Gordon currently brings in an annual salary of $92,338 and anticipates a raise of 5% every
year. What will his salary be in 3 years?
If necessary, round your answer to the nearest cent.

Answers

Answer:

Gordon will have $106892.8 in three years

Step-by-step explanation:

92338 (0.05 + 1)³=

92338(1.05)³=

92338 x 1.16 =

106892.8

Sarah used an equation to solve the problem below. Justify each step of her work. About 11% of people are left handed. How many people would you expect to be left handed in a class of 30 students?

Answers

Answer:

To solve the problem, Sarah used the equation:

Left-handed people = (11/100) * Total people

Step 1: Plug in the total number of people (30) into the equation.

Left-handed people = (11/100) * 30

Step 2: Simplify the right side of the equation.

Left-handed people = (11/100) * 30

Left-handed people = 3.3

Step 3: Round the answer to the nearest whole number.

Left-handed people = 3

So, Sarah expects 3 people in a class of 30 to be left-handed. Each step of Sarah's work is justified because she used the percentage formula to find the number of left-handed people in a class and rounded the answer to the nearest whole number.

Other Questions
Please help me Im confused please, help with this oner log a + y log c j. Select the option that makes the correct use of "trite", as used in the passage,to fill in the blank space.i)At that moment, his words soundedii)It was either aiii) Heriv)A littleto me.or an excellent copy.powers give life and colour to her paintings. an auto dealership always maintains 100 cars of various types in its show room. the dealership sells on average 300 cars per quarter. find the inventory turnover ratio for the year (assume that each car cost is the same, and the number of cars sold is same for each quarter). For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the total cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours? the first all-india political association was formed in ________ harrod company paid $6,700 for a 4-month insurance premium in advance on november 1, with coverage beginning on that date. the balance in the prepaid insurance account before adjustment at the end of the year is $6,700, and no adjustments had been made previously. the adjusting entry required on december 31 is: the substance being acted upon by an enzyme is called the dads advice was to start the yard work early.complete phrase or clause:type of phrase or clause1)gerund phrase2)infinitive phrase3)noun clauseuse of phrase or clause:1)subject2)predicate nominative3)direct object4)direct object of preposition5)appositive if spotify purchased pandora, leaving only one company remaining at the conclusion of the purchase, this would be referred to as a(n) . 1. Which of the following leaders took advantage of the anger of the Italian people over the treatmentof Italy in WWI?A.B.C.D.Adolf HitlerBenito MussoliniFrancisco FrancoJoseph Stalin broad physical humor and stereotypical characters are main ingredients of 1. Each kingdom can be divided into different domains.True or False2. A genus cannot contain members of different species True or False3. Organisms can belong to the same class but different order True or false the nurse is evaluating the lifestyle modifications a client has made to prevent gastroesophageal reflux. which statement indicates that the client understands how to prevent reflux? kendra is a manager for a sales company that sells several different products. she makes it a priority to obtain expert knowledge of each product sold and how to use them. what type of leadership skill is this? why is workplace diversity so important in todays business environment? When energy is transferred to or from a substance, it can change the molecules freedom of movement. is it true or false 5. A diff-jumper of mass 68.0 kg stands on the edge of a cliff and possesses 16,800 J of potential energy.How high up is this lunatic from the base of the cliff?Page 1 of 1 If you are busy all day and do not have time to eat, the hormone that will be released by your pancreas isa. prolactinb. cortisolc. glucagond. insulin plants lose water through small openings on their leaves called:___.