Find the 13th term of the geometric sequence 5, 10, 20,

Answer:

105

Step-by-step explanation:

10² is 100

100+5=105

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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The information provided indicates that it will take 78 minutes to load.

Time may be described in mathematics as a continuing and continuous series of events that take place one after another, from the past through the present, and into the future. The length of events or the gaps between them may be measured, compared, or even ordered using time.

If loading three and a half trucks takes 42 minutes, loading one truck will take 42 / 3.5 minutes, or 12 minutes. The time needed to load is calculated by multiplying the minutes per vehicle by 6.5. In this scenario, it would take 78 minutes to load 6 1/2 trucks (12 x 6.5). The time taken is calculated using the formula t = 12n, where n indicates the number of trucks and t is the time in minutes.

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A linear function is a mathematical function that produces a straight line when plotted on a graph. It has a constant rate of change and follows the equation y = mx + b.

The given functions are f(x) = 2x and g(x) = -2x + 2 - 9. To analyze the effect of the transformation on the asymptotes, let's first identify the key characteristics of each function.

For f(x) = 2x, this is a linear function with a slope of 2 and no asymptotes.

The transformation applied to f(x) is a reflection about the x-axis and a vertical shift. To obtain g(x) = -2x + 2 - 9, we first reflect f(x) by multiplying the output by -1, which results in -2x. Then, we vertically shift the function down by 9 units, which gives us g(x) = -2x - 7.

Since f(x) has no asymptotes, the transformation does not affect any asymptotes, as none exist in the original function. Consequently, g(x) also has no asymptotes. The transformation has only altered the slope and the y-intercept of the function.

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Answer: x = 20

5 x 1 - (3x/5) = -7

5 - (3x/5)= -7

5 + 7 = 3x/5

12 = 3x/5

12 x 5 = 3x

60 = 3x

60/3 = 3x/3

20 = x

Answer:

4 and 5

Step-by-step explanation:

Answer:

Sample because it's only the first ten games of the season not of all the games in the season

Step-by-step explanation:

Answer:

Sample but the power of a study is its ability to detect an effect when there is one to be detected. ... A sample size that is too small increases the likelihood of a Type II error skewing the results, which decreases the power of the study.

Within accompaniment order to be a population then it would need to be justifiable to be comparable to a larger cross section same teams different players that could be at the end of the season, and a population that shows cross section of change, such as the inevitable and include distractions that occur in sports as season starts and progresses till end. Examples of this would include ie) playing with man down etc. or against a team with man down or during penalties etc..

It only becomes a population when it defines all home games only being used as a population as this would show less distraction for each team. Which would be unlikely event in first 10 games, just like it would be unfair to not show the differences for away games within a population.

The higher proportion showing the whole season, thereafter would show population as things change too fast in seasonal events.

There are 19 triangels can be formed whose vertices are among the 9 points.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°. It is a polygon having the least number of sides. In other words, a triangle is defined as a three-sided two-dimensional figure whose interior angles are equal to 180°.

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.

From the question, we know that we have 9 point from 2 line parallel. There are 19 triangels (the same shape is not counted twice) can be formed whose vertices are among the 9 points that shown in the following picture.

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Using the angles of elevation, we found that the distance between A and B is 692 feet.

What is meant by the angle of elevation?

An angle between the horizontal plane and an oblique line connecting the observer's eye and an object above it is referred to as the angle of elevation. This angle eventually develops above the surface. The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line. It is always higher than the observer and at a larger angle. When a person stares downward, they create an angle of depression, which is the opposite of an elevation angle.

The figure is given below.

The angles of elevation are given as 6 and 12 degrees.

We can first find the distance AC from the right triangle.

Given,

CD = 144

From triangle ADC

tan 6 = CD/AC

AC = CD/tan 6 = 144 / 0.105 =  1371.4 feet

From triangle BDC,

tan 12 = CD/BC

BC = CD/tan 12 = 144/0.212 = 679.24 feet.

Then,

AB = AC-BC = 1371.4 - 679.24 = 692.16 feet = 692 feet.

Therefore using the angles of elevation, we found that the distance between A and B is 692 feet.

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Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

dudjeisosidheis9sjdhxisjdgskkjehud

Answer:

Both have the same x value, which is 20.

When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.

In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.

When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.

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Answer:

1 -15

2 -9

Step-by-step explanation:

First Question

6(1+n) =8n- 3 (n-7)

6+6n=8n-3n+21

6+6n=5n+21

 -5n  -5n

6-1n=21

-6     -6

-1n=15

n=-15

Second Question

-7 (4x+7)= 3+ 4(-4-6x)

-28x-49=3-16-24x

-28x-49=-13-24x

+24x           +24x

-4x-49=-13

   +49    +49

-4x=36

x=-9

Answer:

Sihui has $4 and Mark has $12.

Step-by-step explanation:

Let the amount that Sihui has be s.

Let the amount that Mark has be m.

Sihui and Mark have $16 altogether. This means that:

s + m = 16

If Sihui has $2 more, she will have half as much as Mark. This means that:

s + 2 = m/2

=> s = m/2 - 2

By process of elimination, put this value of s in the first equation:

m/2 - 2 + m = 16

=> 3m/2 = 16 + 2 = 18

m = (18 * 2) / 3

m = 36 / 3 = $12

=> s = 12/2 - 2

s = 6 - 2 = $4

Sihui has $4 and Mark has $12.

An increase in the tax rate (T) will result in a lower equilibrium interest rate (i) and a lower equilibrium output level (Y). It's important to note that these effects depend on various assumptions and the specific functional forms of the equations in the IS/LM model.

A. To calculate the effect of the change in government spending (G) on the equilibrium interest rate (i) and output level (Y), we need to analyze the IS/LM model.

In the IS/LM model, the equilibrium is determined by the intersection of the IS curve (goods market equilibrium) and the LM curve (money market equilibrium).

Effect on the equilibrium interest rate (i):

An increase in government spending (G) will shift the IS curve to the right. This is because higher government spending increases aggregate demand, leading to higher output and income. As a result, there is upward pressure on the interest rate.

The shift in the IS curve will cause the equilibrium interest rate (i) to increase.

Effect on the equilibrium output level (Y):

With the increase in government spending (G), the IS curve shifts to the right, indicating higher aggregate demand. This leads to an increase in the equilibrium output level (Y). The increase in government spending directly contributes to the increase in output through the autonomous component of aggregate demand (G).

In summary, an increase in government spending (G) will result in a higher equilibrium interest rate (i) and a higher equilibrium output level (Y).

B. To calculate the effect of the change in the tax rate (T) on the equilibrium interest rate (i) and output level (Y), we again analyze the IS/LM model.

Effect on the equilibrium interest rate (i):

A change in the tax rate (T) affects disposable income (YD) and, consequently, consumption (C). An increase in the tax rate reduces disposable income, leading to a decrease in consumption. This decrease in consumption reduces aggregate demand and shifts the IS curve to the left. The shift in the IS curve will cause the equilibrium interest rate (i) to decrease.

Effect on the equilibrium output level (Y):

The decrease in consumption resulting from the increase in the tax rate (T) reduces aggregate demand, which in turn leads to a decrease in the equilibrium output level (Y). The decrease in consumption directly affects the aggregate demand component related to consumption (C), resulting in a lower equilibrium output level (Y).

In summary, an increase in the tax rate (T) will result in a lower equilibrium interest rate (i) and a lower equilibrium output level (Y).

It's important to note that these effects depend on various assumptions and the specific functional forms of the equations in the IS/LM model.

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Answer:

∠ T = 126°

Step-by-step explanation:

in an isosceles trapezoid

• lower base angles are congruent

• any lower base angle is supplementary to any upper base angle

then

∠ U = ∠ W = 54° , so

∠ T + ∠ U = 180°

∠ T + 54° = 180° ( subtract 54° from both sides )

∠ T = 126°

Answer:

x = 3

y = -3

Step-by-step explanation:

We have two equations and are asked to solve for x and y.

y = -3x + 6

3y = -2x - 3

Substitute the y in the first equation in the second equation :

3(-3x + 6) = -2x - 3

Distribute :

-9x + 18 = -2x - 3

Solve for x by isolating it :

Subtract 18 from both sides :

-9x = -2x - 21

Add 2x to both sides :

-7x = -21

Divide -7 from both sides :

x = 3

Replace x in the first equation :

y = -3(3) + 6

y = -9 + 6

-9 + 6

y = -3

Answer:

-90

Step-by-step explanation:

Answer:

-90

Step-by-step explanation:

Answer:

where is the explanation

Answer:

630

Step-by-step explanation:

Answer:

-24·\(\sqrt{35}\)

Step-by-step explanation:

The probability of 2 people out of 10 chosen at random favoring the new building project: P(X = k) = (n choose k) * p^k * (1 - p)^(n - k), where n = 10, p = 0.7, and k = 2. The resulting probability is approximately 0.00005349 or 0.005%.

To solve this problem, we need to use the binomial distribution formula: P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where P(X = k) is the probability of getting exactly k successes (people who favor the new building project),

n is the total number of trials (people chosen at random),

p is the probability of success in each trial (proportion of people in favor of the project), and

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

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Answer:

See below.

Step-by-step explanation:

An inverse function has the x and y coordinates switched. For example, if a function has point (1, 3), then the inverse function has point (3, 1).

Let's find the ordered pairs of the inverse function. We take all the ordered pairs of the original function:

(1, 3), (7, 4), (8, 6), (9, y)

Now we switch x and y in each ordered pair to come up with the inverse function.

The inverse function has these ordered pairs:

(3, 1), (4, 7), (6, 8), (y, 9)

For a relation to be a function, a value used as an x-coordinate can appear only once.

The last ordered pair is (y, 9). For the inverse relation to be a function, y cannot be 3, 4, or 6.

Answer:

inverse of ordered pair (1,3),(7,4),(8,6)and (9,y)

is (3,1),(4,7),(6,8)and(y,9)

restriction is

y≠3,4&8

The kilometers the bus travels between these two stops is 5.8 km

From the question, we have the following parameters that can be used in our computation:

Speed = 23 km/h

Time = 13 : 40 - 13 : 25 = 15 minutes = 1/4 hr

The kilometers the bus travels between these two stops is calculated as

Distance = Speed * Time

Substitute the known values in the above equation, so, we have the following representation

Distance = 23 * 1/4

Evaluate

Distance = 5.8 km

Hence, the distance is 5.8 km

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Answer:

g(x) = [x/6]

Step-by-step explanation:

The given graph is f(x)=[x]

On stretching the function f(x) by a factor of 6, the new function g(x) is

g(x) = f(x/6)

So, g(x) = [x/6]

Hence, on stretching the f(x) by a factor of 6, the new function g(x)=[x/6].

Note that none of the given options matched.

EXPLANATION

Since the initial amount of money was of $29,820, and the account earns interest rate by a reason of 7% per year, we can use the simple interest rate equation as shown as follows:

Where P=Principal= 29,820, r=rate in decimal form=7/100=0.07 , t=time in years=4,

Plugging in the numbers into the expression:

Multiplying numbers:

Adding the Interest to the Initial Capital: 29,820+8,349 = 38,169

In conclusion, Colin will have $38,169 after 4 years

For which population is 636363 wins a legitimate estimate of the average longest streak: Only the top 200200200 longest streaks worldwide in June

Mean = sum of data / Number of data

The 200200200 longest streaks weren't randomly selected from a larger population. They are not representative of all players in the world or Canada, but they are the top 200200200 longest streaks of all players. So,

Only the top 200200200 longest streaks worldwide in June will win.

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When doing transformations and shipments to absolute value functions is:

When adding or subtracting to the complete function moves up or down, in this case, k is the one that allows this shift

When adding or subtracting to the absolute value part of the function, the function moves left or right, in this case, h is the one that allows this shift.

The vertex for the general form of an absolute value function is (h,k)

The way to flip a function upside-sown is to multiply the absolute value portion by a negative coefficient "a".

Answer:

The expression that is not correct is:

The vertex for the function is (k,h)

Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

Investment refers to the allocation of money or capital to an asset or a project with the expectation of generating a profit or earning an income. Investment can take many forms, including the purchase of stocks, bonds, real estate, or other financial products, as well as the financing of a business or a startup.

Investing involves risk, as the potential return on investment is not guaranteed. Investors must carefully evaluate the potential risks and returns of each investment opportunity before deciding where to allocate their capital.

Investment can be divided into two main categories: short-term and long-term. Short-term investments, such as savings accounts and money market funds, offer relatively low returns but also have lower risk. Long-term investments, such as stocks and real estate, have higher potential returns but also higher risk.

To find the amount that Bashir needs to invest to reach $29,000 in 19 years, we can use the formula for the future value of an investment:

Future Value = Principal * (1 + (Interest Rate ÷ Number of Compounding Periods))^(Number of Compounding Periods x Time in Years)

In this case, the interest rate is 5.7% compounded quarterly, so:

Interest Rate ÷ Number of Compounding Periods = 5.7 ÷ 4 = 1.425%

And the time in years is 19, so the number of compounding periods is 4 * 19 = 76.

Now, we can plug in the values into the formula:

Future Value = Principal * (1 + (1.425 ÷ 100))^(76)

Future Value = Principal * (1.01425)^76

Future Value = 29,000

Solving for Principal, we get:

Principal = 29,000 ÷ (1.01425)^76

Rounding to the nearest hundred dollars, we get:

Principal = $18,900

So, Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

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Answer:4

Step-by-step explanation: look at the image attached

The value of x in sequence of number is 10.

Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.

What is geometric series?

Geometric series is an infinite series of the form:

\(a+ar+a r^{2} +ar^{3} +..........\)

where r is known as common ratio.

Now, first term is x and each term there after is twice the previous term.

So the series will be;

x , 2x , 4x , 8x, ..........

Clearly this series is geometric series with common ratio 2.

And the nth term of geometric series is \(ar^{n-1}\)

⇒ fifth term is 160

\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)

Here, first term is x.

The value of x in sequence of number is 10.

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