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The sixth term of the sequence 13, 39, 117, ... is 243

The definition of the function is given as

13, 39, 117, ...

The above definitions imply that we simply multiply 3 to the previous term to get the current term

using the above as a guide,

So, we have the following representation

an = 13(3)^(n - 1)

For the 6th term, we have

a(6) = 13(3)^(6 - 1)

Evaluate

a(6) = 243

a₃ = 9 + 3

Hence, the value of the 6th term is 243

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For using completing the square, first make sure that the coefficient of x² is 1, if it's not 1, then you need to make it 1, by dividing both sides of the equation by the coefficient whatever it is. So, jere the coefficient of x² is 1, so now we need to develop a whole square on both sides, for which,we will add the square of half of coefficient of x on both sides, so adding (-16/2)² = (-8)² = 64 on both sides, we will be having :

[tex]{:\implies \quad \sf x^{2}-16x+64=-21+64}[/tex]

Which suits the B) option

Hence, Option B) is correct

Answer:

375 Km

Step-by-step explanation:

1 inch = 50 km

50 x 7.5 = 375 km

Answer:

375 Km

1 inch = 50 km

50 x 7.5 = 375 km

Answer: C

Step-by-step explanation:

Khan academy

The response that contributed most to the test statistic about human resources department is C. Disagree.

It should be noted that test statistic simply means a random variable that is used in hypothesis testing.

In this case, the response that contributed most to the test statistic about human resources department is to disagree. This is because there is sufficient evidence to show that they distribution of response is different now than it was before.

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Answer:

Here is the answer

Step-by-step explanation:

Interest=$580 x 6.5%

=580 x 6.5/100

=$37.70

$37.70= 37dollars and 70 cents

Answer:

Step-by-step explanation:

1. То find the coordinates of point B, since it is a translation of point A 4 units right and 5 units up, we can add 4 to the x coordinate of point A and add 5 to the y coordinate of point A. This gives us that B(2+4,3+5) = (6,8)

2. Similarly, we can subtract 8 from the x coordinate of point C and subtract 2 from the y coordinate of point C. This gives us that point D has coordinates (1,5).

Answer:

they want you to take what you have (point a and point c) and take the moving places and add it to their respected points

if that doesnt help then...

point A is (2,3)

point B is (2,3) + to the right 4 and up 5 which turns the 2 into a 6 and the 3 into an 8

point b is (6,8)

point c is (9,7)

point d is (9,7) + 8 spaces to the left and 2 spaces down which makes the 9 into a 1 and the 7 into a 5

point d (1,5)

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

7(3×6-4)+4^3

7(18-4)+4^3

7×14+4^3

98+64

162

Answer:

162.......

Step-by-step explanation:

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

= 7 ( 3× 6 - 4 ) + 4^3

= 7 ( 18 - 4 ) + 4 ^3

= 7 ( 14 )+ 4 × 4 × 4

= 98 + 64

= 162..

Answer: Final answer: :: written in four ways :: As an improper fraction (numerator larger than denominator): 480/300 = 8/5As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 480/300 = 1 3/5As a decimal number: 480/300 = 1.6As a percentage: 480/300 = 160%

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

(240 - 252/240)×100

The functions of DoorDash and UberEats are linear functions and piecewise functions

This is the point where the input value is 0 i.e. x = 0.

From the table, we have:

(x,y)= (0,2.50)

From the graph, we have:

(x,y)= (0,5)

Hence, the y-intercepts are $2.50 and $5, respectively

This is the point where the output value is at the highest

From the table, we have:

(x,y)= (25,12.00)

From the graph, we have:

(x,y)= (20,8.00)

Hence, the maximum of the functions are $12.00 and $8.00, respectively.

This also represents the maximum salaries of working in both companies

This is the point where the values of both functions are equal

From the table and the graph, we have:

(x,y)= (25,12.00)

Hence, the point where the salaries are the same is (25, 12.00)

DoorDash has a higher maximum salary; so I would choose to work at DoorDash

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sum of triangle angles = 180

so

? = 180 - 36 - 92 = 52°   => D

Answer:

it should be built at the centre

The the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.

Perimeter = 2(length + width).

The number of feet needed for the fence around the rectangular garden = perimeter of teh rectangular garden.

Given the following:

Plug the values into Perimeter = 2(length + width):

Perimeter of the rectangular garden = 2(42 + 84)

Perimeter of the rectangular garden = 252 ft

Therefore, the the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.

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Answer:

32 and a half

Step-by-step explanation:

The solution of the given complex fraction will be;

[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]

The complex fraction is defined as the fraction whose numerator and denominator contains fractions in it.

The given complex fraction is

[tex]\dfrac{\frac{2}{x}-\frac{4}{y}}{\frac{-5}{y}+\frac{3}{x}}[/tex]

Now by taking LCM the equation will become

[tex]\dfrac{\frac{2y-4x}{xy}}{\frac{-5x+3y}{xy}}[/tex]

Now the final expression will be

[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]

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Answer:

2:1

Step-by-step explanation:

divide 6 by 3 to get 2 and divide 3 by 3 to get 1 making the awnser 2:1

39°

Try harder to achieve success

Answer:

x = -5

y = -4

Step-by-step explanation:

5x - 4y = -9

10x - 8y = -18

10x - 7y = -22

-y = 4

y = -4

Substitue y into any equation

5x - (-16) = -9

5x = -25

x = -5

[tex]\tan x = \dfrac{\text{Opposite}}{\text{Adjacent}}\\\\\implies \tan x = \dfrac{12}{6}\\\\\implies \tan x = 2\\\\\implies x = \tan^{-1} (2)=63.4^\circ[/tex]

Answer:

x ≈ 63.4°

Step-by-step explanation:

using the tangent ratio in the right triangle.

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then

x = [tex]tan^{-1}[/tex] ( 2) ≈ 63.4° ( to the nearest tenth )

Answer: 27

Step-by-step explanation:

A dot plot or for chart is a statistical plot consisting of data points that are plotted on a scale using dots.

Your information is incomplete. Therefore, an overview of a dot plot will be given. A dot plot is a data visualization where the day points are plotted as dots on the graph.

Dot plots are used for relatively small data sets. It uses the dots to show where the data values in the distribution are.

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Hope this helps!! :)

now, this is assuming the compounding period is annually, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &7 \end{cases} \\\\\\ A=2000\left(1+\frac{0.02}{1}\right)^{1\cdot 7}\implies A=2000(1.02)^7\implies A\approx 2297.37[/tex]

Mean: 16

To find the mean, we need to add up all the numbers in the set and then divide by the number of numbers we added.

1. 13 + 19 + 17 + 10 + 22 + 14 + 17 = 112

2. 112 / 7 = 16

3. The mean is 16.

Answer: 16.

Step-by-step explanation: To find the mean of any given data, you need to add all the data.  The work is below:

13 + 19 + 17 + 10 + 22 + 14 + 17 = 112.

Now that we've added all the data, we have to divide the data by 7, because that's how many numbers that are in this data.  The work is below:

112 / 7 = 16.

Therefore, the mean of this data is 16.

Hope this helps! :)

Answer:

I don't necessarily understand your question but usually the answer to a polynomial question is a binomial answer

Answer:

Angel F would equal about 50 degrees.
I used my protractor to measure the angle. My answer may be incorrect since I measuring it through a computer screen. (please read more before submitting your answer)

Another strategy:
(this one should be more accurate)
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.


The angles are given all equal 312 degrees
75 + 91 + 146 = 312 degrees



This means angel F equals:
360 degrees - 312 degrees = F degrees

F = 48 degrees



In conclusion, 48 and 50 are reasonable answers but the strategy used to find the answer 48 degrees makes more sense.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

BC = 24

Step-by-step explanation:

FD = 36, FE = 15 and CD = 18

By secant theorem.

DE • DF = CD • DB

(36 - 15) • 36 = 18 • DB

DB = 42

BC = DB - CD

BC = 42 - 18

BC = 24

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

No picture

Step-by-step explanation:

The geometric sequence can be represented explicitly or as recursions

The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

The sequence is given as:

2, 6, 18, 54, ....

Start by calculating the common ratio (r)

r = b2/b1

This gives

r = 6/2

Evaluate the quotient

r = 3

A geometric sequence is represented as:

b(n) = b1 * r^(n-1)

This gives

b(n) = 2 * 3^(n-1)

Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

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Answer:

The rate "20 pounds per 4 feet", doesn't belong with the other three because you get "5 pounds per foot" for the unit rate and for the other three, you get "4 pound per foot" for the unit rate.

Step-by-step explanation:

Unit rate = How much of something per 1 unit of something else

We write this as a ratio with a denominator of one

In this case, we are using "pound per foot"

1. "8 pounds for every 2 feet"

You can find the unit rate by dividing the first term of the ratio by the second term

[tex]\mathrm{\dfrac{ 8\:pounds }{ 2\:feet }}[/tex]

Simplify

[tex]\mathrm{4\:pounds}[/tex]

Unit rate = 4 pounds per foot

2. "12 pounds per 3 feet"

First, write the rate as a fraction

[tex]\mathrm{\dfrac{ 12\:pounds }{ 3\:feet }}[/tex]

Next, divide the numerator and denominator by 3

[tex]\mathrm{\dfrac{ 12\:pounds \div 3 }{ 3\:feet \div 3 }}[/tex]

Lastly, simplify and turn the denominator equal to 1

[tex]\mathrm{\dfrac{ 4\:pounds }{ 1\:foot }}[/tex]

Unit rate = 4 pounds per foot

3. "20 pounds per 4 feet"

First, write the rate as a fraction

[tex]\mathrm{\dfrac{ 20\:pounds }{ 4\:feet }}[/tex]

Next, divide the numerator and denominator by 4

[tex]\mathrm{\dfrac{ 20\:pounds \div 4 }{ 4\:feet \div 4 }}[/tex]

Lastly, simplify and turn the denominator equal to 1

[tex]\mathrm{\dfrac{ 5\:pounds }{ 1\:foot }}[/tex]

Unit rate = 5 pounds per foot

4. "24 pounds for every 6 feet"

You can find the unit rate by dividing the first term of the ratio by the second term

[tex]\mathrm{\dfrac{ 24\:pounds }{ 6\:feet }}[/tex]

Simplify

[tex]\mathrm{4\:pounds}[/tex]

Unit rate = 4 pounds per foot

The rate that doesn't belong is "20 pounds per 4 feet"

Answer:

a=12 times

b=156 times

Step-by-step explanation:

4 weeks=month

4*3=12

52 weeks=1 year

52*3=156

Therefore he goes 12 times a month, and 156 times a year.