the first four terms of a geometric sequence are 27, x, 3, 1. find the value of x

Answer:

1) SAS

2) AA

3) SSS

Step-by-step explanation:

Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.

Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

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The correct presentation on December 31, 2020, would be:

Current liabilities: $500,000

Long-term debt: $1,500,000

On January 1, 2020, Ermler Company issued $2,000,000 of notes payable, with $500,000 due on January 1 for each of the next four years. To determine the proper balance sheet presentation on December 31, 2020, we need to consider the classification of the notes payable.

The $500,000 due within one year (on January 1 of the following year) is considered a current liability. This amount represents the portion of the notes payable that needs to be repaid in the short term, within the company's operating cycle. Therefore, it should be classified as current liabilities.

The remaining $1,500,000 of the notes payable is not due within the next year. This portion represents the long-term debt of the company, as it extends beyond the normal operating cycle and is not required to be repaid in the short term.

Based on this analysis, the proper balance sheet presentation on December 31, 2020, would be as follows:

Current liabilities: $500,000

Long-term debt: $1,500,000

This classification accurately reflects the timing of the payments and provides a clear distinction between the current liabilities and long-term debt on the company's balance sheet.

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Answer:

x ≈ 2.30277563

Step-by-step explanation:

The least scores Juan could have had in the two tests are 85 and 100

Let the test scores be x and y

Where x is the current test and y is the previous test

Using the interpretation of the parameters in the question, we have the following:

x = y + 15 --- the relationship between the test scores

The average test scores can be represented as

1/2(x + y) ≥ 92

Substitute x = y + 15 in 1/2(x + y) ≥ 92

1/2(y + 15 + y) ≥ 92

Evaluate the like terms

1/2(2y + 15) ≥ 92

So, we have

2y + 15 ≥ 184

This gives

2y ≥ 169

Divide by 2

y ≥ 84.5

From the question both numbers are integers

So, we can assume that y = 85

Substitute y = 85 in x = y + 15

x = 85 + 15

Evaluate

x = 100

Hence, the possible test scores are 85 and 100

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Answer:

B = $5.40

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

EZ

its 21

The final image will fit in a similar portfolio with an area of 160 square inches.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width.

The dimensions for this problem are given as follows:

24 inches, 36 inches.

With the reduction with a scale factor of 1/3, the dimensions are given as follows:

8 inches,  12 inches.

With the enlargement by a factor of 1.25, the dimensions are given as follows:

10 inches and 15 inches.

Hence the area is given as follows:

15 x 10 = 150 square inches.

As the area of 150 square inches is less than 160 square inches, the final image will fit in a similar portfolio with an area of 160 square inches.

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The false statement about correlation is option a: "correlation is also known as the coefficient of determination." The coefficient of determination is actually a related concept, but it is not synonymous with correlation.

Correlation measures the strength and direction of the linear relationship between two variables. It quantifies the degree to which changes in one variable are associated with changes in another variable. Correlation is denoted by the correlation coefficient, often represented by the symbol "r."

The correlation coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation.

Option b is true: correlation does not depend on the units of measurement. Correlation is a unitless measure, meaning it remains the same regardless of the scale or units of the variables being analyzed. This property allows for comparisons between variables with different units, making it a valuable tool in statistical analysis.

Option c is also true: correlation is always between -1 and 1. The correlation coefficient is bound by these values, representing the extent to which the variables are linearly related. A value of -1 indicates a perfect negative correlation, 0 represents no correlation, and 1 indicates a perfect positive correlation.

Option d is true as well: correlation between two events does not prove one event is causing another. Correlation alone does not establish a cause-and-effect relationship. It only indicates the presence and strength of a statistical association between variables.

Causation requires further investigation and analysis, considering other factors such as temporal order, potential confounding variables, and the plausibility of a causal mechanism.

In conclusion, option a is the false statement. Correlation is not synonymous with the coefficient of determination, which is a measure used in regression analysis to explain the proportion of the dependent variable's variance explained by the independent variables.

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In this picture, we have the triangles with two common sides and one common angle. However, they are not congruent, as they do not follow any of the congruence theorems. The congruence theorem with two sides and an angle is the SAS(Side-Angle-Side). However, the angle has to be the angle between the two sides, which does not happen in this case.

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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The number of students for each favorite sport from the bar graph is:

Cricket = 75

Football = 35

Tennis = 50

Badminton = 30

Swimming = 65

We have,

From the bar graph,

We can find the number of students for each favorite sport.

Now,

Cricket = 75

Football = 35

Tennis = 50

Badminton = 30

Swimming = 65

Now,

The total number of students in the bar graph.

= 75 + 35 + 50 + 30 + 65

= 255

Thus,

The number of students for each favorite sport is:

Cricket = 75

Football = 35

Tennis = 50

Badminton = 30

Swimming = 65

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Total cost with pass = $20a

Total cost without pass = $12a + 40

According to the information

We can write a system of equations for this problem,

Equation 1:

Cost with season pass = 12a + 40

Equation 2:

Cost without season pass = 20a

Therefore,

The system of equations that represents this problem is:

12a + 40 = c  ...(i)

20a = c   ...(ii)

Now making table for it:

Cost     Number     Amount Spent    Total Cost With   Total Cost Without

Ad.          Ad.            Pass ($)               Season Pass      Season Pass

20            a                      0                        20a + 0                   20a

12             a                     40                       12a + 40                 12a + 40

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To increase the salary wage values of each employee on the "xx assembly employee" table by 89 cents, an SQL update statement can be used. The statement would be:

UPDATE xx_assembly_employee

SET salary = salary + 0.89;

This statement will update the "salary" column in the "xx_assembly_employee" table by adding 0.89 to the current salary values for all employees. It assumes that the table "xx_assembly_employee" has a column named "salary" to store the salary wage information. By executing this update statement, the salary of each employee will be increased by 89 cents. It's important to ensure that the table name is accurate and matches the actual table in the database.

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Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

1: x = 10

2: x = 2

3: x = 5

4: x = -5

Step-by-step explanation:

In 1995, an early social media pioneer implemented the freemium business model, offering users the ability to create web pages within a community (topic) by providing basic services for free and charging for additional features.

In 1995, GeoCities introduced the freemium business model to the social media landscape. GeoCities allowed users to create personalized web pages with text and pictures within various thematic communities. The freemium model offered basic services for free, allowing users to create and host their web pages. However, GeoCities also provided additional features and enhancements for which users had to subscribe and pay.

This business model proved to be successful as it attracted a large user base and allowed GeoCities to generate revenue from subscribers who wanted access to premium features. By offering a free platform with limited functionality and enticing users with paid upgrades, GeoCities capitalized on the concept of the freemium model, providing a valuable interest while monetizing certain aspects of it.

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The gas mileage in miles per gallon = 44.690mi/gal.

A vehicle's mileage is the number of miles it can drive solely on a single gallon or liter of fuel. They are ready to pay up to $500 more for fuel-efficient vehicles. 3. a noncountable noun.

Subtract the original tachometer reading from either the new one to get the miles traveled first from the trip odometer. Divide the distance traveled by the number of gallons used to fill the tank. As a result, your car's overall kilometers per gallon yield for that driving period will be calculated.

1 km = 0.621371 mi

1 L = 0.264172 gal

calculating that the amount of gas mileage in miles per gallon by multiplying with distance and gas used per miles.

19 km/L = (19*0.621371)/0.264172 mi/gal

= 44.690 mi/gal

the gas mileage in miles per gallon = 44.690mi/gal.

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The explicit formula and the recursive formula are aₙ₋₁ +  200 and the rest is mentioned below.

A formula can be either recursive or explicit. The main difference between Recursive and Explicit is that Recursive formula gives the value of a specific term based on the previous term while Explicit formula gives the value of a specific term based on the position.

Given : a₁ =  -26, a₂ = 174, a₃ = 374, a₄= 574

The common difference that is d can be found out by

thus d = a₂ - a₁ = 174 -(- 26 ) = 174 + 26 = 200

And this is same for all the numbers of this particular sequence.

Thus aₙ = aₙ₋₁ + d

            = aₙ₋₁ +  200

Recursive formula :  aₙ₋₁ + d

That is the following sequence will have a common difference of 200 and the next 5th, 6th, 7th and nth term is going to be .

774 , 974 ... etc

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The mean of the salary is $120000.

By adding up a list of salaries and dividing by the total number of salaries on the list, mean salaries are derived. This means that exceptionally high and extremely low incomes have the same weight in the final average, which is crucial to bear in mind while investigating industry salaries.

By ranking the wages of a group of employees in descending order, you may determine the median base salary by finding the income that is in the middle of the distribution.

Mean=(5*440,00+2*100,000+1*540,000)/(5+2+1)

         =(220,000+200,000+540,000)/8

         =960,000/8

         =120,000

Median is 100,000.

Hence, the mean salary is 120,000 but 7/8  members salary is lower than 120,000. Because the firm’s owner salary is too high. thus the firm’s owner is so unethical regarding employee salary.

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The value of ∠EFD is 107 ° as this angle is part of a linear pair .

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

Given the two angles are ∠EFD and ∠DFG .

Now as they are on a straight line they form a linear pair .

As a part of a linear pair their sum add up to  180°.

Now substituting the given values :

11x - 3 + 6x + 13 = 180

or, 17 x + 10 =180

or, 17 x = 170

or, x = 10

Therefore the value of the ∠EFD is given as 11x - 3 = 110 - 3 = 107° .

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Answer:

$14.54

Step-by-step explanation:

We use the equation 32.18-17.64 to find our answer of $14.54

The purchase price of a 5-year zero coupon bond will be $768.87.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Let x be the price before 5 years.

If it is purchased today and has a face value of $1,000. Then we have

(1 + 0.046)(1 + 0.049)(1 + 0.052)(1 + 0.055)(1 + 0.068) x = 1000

(1.046 × 1.049 × 1.052 × 1.055 × 1.068) x = 1000

1.3 x = 1000

x = $768.87

The purchase price of a 5-year zero coupon bond will be $768.87.

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Answer:

Step-by-step explanation:

1)  The equation of circle  having center at origin:

       x² + y² = r²

Where 'r' is the radius.

diameter = 36

r = 36 ÷ 2 = 18

  Equation of circle :

      x² + y² = 18²

       x² + y² = 324

Option d.

2) Find the discriminant D.

 If  D > 0, then the quadratic equation has two distinct real roots.

  If  D= 0, then the quadratic equation has two identical real roots.

  If  D < 0, then the quadratic equation has no real roots.

  D = b² - 4ac

 x² - 6x + 9 = 0

a = 1  ; b = -6 ; c = 9

D = (-6)² - 4*1*9

  = 36 - 36

D = 0

As D = 0, the quadratic equation has two identical real roots

Option a.

3) The axis of symmetry of a parabola is the vertical line passing through the vertex. It will be middle of the x-intercepts.

X- intercepts are -8 , 2

 ( -8 + 2 ) ÷ 2 = -6 ÷ 2  =  -3

x = - 3

Option d.

Answer:

360 cubic units

Step-by-step explanation:

height = 4 units

length = 10 units

breadth = 6 units

Volume of a cuboid = l × b × h

V = 10 × 6 × 4

V = 10 × 24

V = 240 cubic units

Now a scale factor of 1.5 units is applied to the dimensions,

new volume = 240 × 1.5 = 360

∴ New volume of the prism = 360 cubic units

Answer:

240 cubic units

Step-by-step explanation:

Making the funniest math meme ever are:

Meme Idea:

Caption: "Why did the math book look sad?"

Image: A picture of a person holding a math book with a sad face drawn on it.

Caption: "Because it had too many problems!"

This meme plays on the double meaning of "problems." In math, problems refer to exercises or questions that need to be solved, while in everyday language, problems can also refer to difficulties or challenges.

The humor lies in the personification of the math book and the play on words, which can bring a smile to the faces of math enthusiasts and those who appreciate a good math-related joke.

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Answer:

Let c represent the number of cows

Let h represent the number of horses

There are 2 more horses than cows in a field

⇒there are extra two horses are always than cows

⇒ horses-cows =2

⇒ hourses=2+cows

⇒ h =2+c

There are 16 animals in the field in all.

⇒ h +c=16

⇒ (2+c)+c=16

⇒ 2+2c=16

⇒ 2+2c-2=16-2

⇒2c=16-2

⇒ 2c=14

c=7

Step-by-step explanation:

Answer:

7.67

Step-by-step explanation: