Write a recursive formula for a_na
n

term of the sequence 13, 3, -7, -17,

Answers

Answer 1

The recursive formula for the sequence 13, 3, -7, -17 is 3 + 10n.

How to illustrate the information?

It should be noted that the nth term for an arithmetic sequence is illustrated by the formula:

= a + (n - 1)d.

where a = first term = 13

d = common difference = 3 - 13 = 10

n = number of terms

Therefore, the recursive formula will be:

a + (n - 1)d.

= 13 + (n - 1)10

= 13 + 10n - 10

= 3 + 10n

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Related Questions

Which is larger, 52 or 33?​

Answers

Answer:

52

Step-by-step explanation:

52 is a bigger number than 33?

Of 85 entries in the parade, 19 were
marching bands. How many entries were
not marching bands?

Answers

The answer is 66. Do 85-19 to get the answer

What is the equation of the line that passes through the point (−3,1) and has a slope of −3?

Answers

y=-3x-8
step-by-step explanation:
see image (also use some of my explanation from my previous answer)

Using Pythagoras' Theorem please solve it.​

Answers

[tex] \huge\underline\mathcal{Answer \: - }[/tex]

Pythagoras theorem states that the square of hypotenuse equals the sum of square of other two sides.

therefore ,

[tex](25) {}^{2} = (x + 3) {}^{2} + 4 { }^{2} (x + 2) {}^{2} \\ \\ \longrightarrow \: 625 = x {}^{2} + 9 + 6x + 16(x {}^{2} + 4 + 4x) \\ \\ \longrightarrow \: 625 = x {}^{2} + 9 + 6x + 16x {}^{2} + 64x + 64 \\ \\ \longrightarrow \: 625 = 17x {}^{2} + 70x + 73 \\ \\ \longrightarrow \: 17x {}^{2} + 70x + 73 - 625 = 0 \\ \\ \longrightarrow \: 17x {}^{2} + 70x - 552 = 0[/tex]

now using quadratic formula ,

[tex]x = \frac{ - b \: \pm \: \sqrt{b {}^{2} - 4ac} }{2a} \\ [/tex]

here , a = 17 , b = 70 , c = -552

substituting the values in the equation above ,

[tex]x = \frac{70 \: \pm \: \sqrt{70 {}^{2} - 4(17)( - 552)} }{2 \times 17} \\ [/tex]

after simplifying we get ,

[tex]\boxed{x = 4} \: \: or \:\boxed{ x = \frac{ - 138}{7} } \\ [/tex]

since length can't be negative , therefore the other value will be neglected and hence ,

[tex]\boxed{value \: of \: x \: = \: 4 \: cm}[/tex]

hope helpful ;-;

Answer:   x = 4

======================================================

Work Shown:

As you mentioned, we'll use Pythagoras' Theorem aka Pythagorean Theorem.

[tex]a^2+b^2 = c^2\\\\(x+3)^2+(4(x+2))^2 = 25^2\\\\(x+3)^2+16(x+2)^2 = 625\\\\(x^2+6x+9)+16(x^2+4x+4) = 625\\\\x^2+6x+9+16x^2+64x+64 = 625\\\\17x^2+70x+73 = 625\\\\17x^2+70x+73-625 = 0\\\\17x^2+70x-552 = 0\\\\[/tex]

Next, we'll use the quadratic formula with a = 17, b = 70, c = -552.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-70\pm\sqrt{(70)^2-4(17)(-552)}}{2(17)}\\\\x = \frac{-70\pm\sqrt{42436}}{34}\\\\x = \frac{-70\pm206}{34}\\\\x = \frac{-70+206}{34} \ \text{ or } \ x = \frac{-70-206}{34}\\\\x = \frac{136}{34} \ \text{ or } \ x = \frac{-276}{34}\\\\x = 4 \ \text{ or } \ x \approx -8.1176\\\\[/tex]

Ignore the negative x value solution. The sides (x+3) and 4(x+2) will be negative values if we plugged in x = -8.1176, but negative side lengths do not make sense.

This makes x = 4 the only possible solution.

----------------

If x = 4, then,

vertical leg = x+3 = 4+3 = 7horizontal leg = 4(x+2) = 4*(4+2) = 4*6 = 24

This is a 7-24-25 right triangle.

We can confirm this using the pythagorean theorem

[tex]a^2+b^2 = c^2\\\\7^2+24^2 = 25^2\\\\49+576 = 625\\\\625 = 625 \ \ \ \checkmark[/tex]

A 100ml tub of ice cream costs £1.50. Work out how much 500ml tub of ice cream would cost.

Answers

Answer:

Answer: 7.5 or 7 1/2.

what is 0.4111111… as a fraction

Answers

So there is a method to do this problem
Take 0.41111... as x
Thus 10x = 4.11111... and 100x= 41.1111...

=> 100x - 10x = 41.1111... - 4.111111
=> 90x=37
=> x= 37/90
=> 0.4111... = 37/90

please help me solve this

Answers

It is to be noted that:

The current total bid for Empire design is $3,060,000The current total bid for Build-EM-UP-CO is $ 3,120,000.

What is a bid?

Bidding is an individual or business's offer to establish a price for a product or service or a demand that something be done. Bidding is a method of determining the price or worth of something. Bidding may be done by a person who is influenced by a product or service in a given setting.

The calculations are given as follows:

Given:
Proposal of Empire design:

$30000 x b

$ 60000/ I beam

Proposal of Build-EM-UP-CO.

$32000 x b

$ 40000/ I beam

Empire Design

Since b = 9ft; and number of I beams = 6, Hence

Total bid = (300,000 * 9) + (60,000 * 6)

= $3,060,000

Build-EM-UP-CO.

Recall that b = 9ft; and number of I beams = 6, Hence

Total Bid = (320,000 * 9) + (40,000 * 6)
Therefore,
Total bid = $3,120,000.

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Full Question:

For full details of the question, see the attached image

please show work out


find the dimension of A34×b41 matrix]

Answers

A34 should represent either a square matrix with number of columns=number of rows =34 or the 4th element in the 3rd row in the matrix A [which is not possible in the given matrix since each row has only 3 elements]

The dimension of a matrix is given as (the number of rows it has, say a) x (the number of columns it has, say b) [read as a by b].. The given matrix has 4 rows and 3 columns, so its dimension is 4x3.

For a matrix A of dimension axb to be multiplied with a matrix B of dimension cxd, the number of columns of matrix A should be equal to the number of rows of matrix B, that is b = c should be satisfied. In this case both matrices are of the same dimension 2x3 but 3 (number of columns in first matrix) is not equal to 2 (number of rows in second matirx). So these matrices cannot be multiplied as their dimensions do not match.

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(5y-23) (2x+13) 47 (3x) find the values of c and y

Answers

The value of variable x and y are 24 and 19 respectively.

How to find angles?

We have to find the variables x and y of the angles.

Therefore,

using angles in a triangle,

2x + 13 + 47 + 5y - 23 = 180

2x + 5y = 180 - 13 - 47 + 23

2x + 5y = 143

Using corresponding angles,

180 - (2x + 13) = 47 + 3x

180 - 2x  - 13 = 47 + 3x

180 - 47 - 13 = 3x + 2x

120 = 5x

x = 120 / 5

x = 24

Hence,

2(24) + 5y = 143

5y = 143 - 48

5y = 95

y = 95 / 5

y = 19

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Which numbers I have to put in the boxes

Answers

where’s the problem

Find the equation of the line that contains the point (-1,-6) and is parallel to the line 4x + 7y=11. Write the equation in slope-intercept form, if possible.
answer box to complete your choice.

Answers

Answer:

y = -4/7x - 46/7

Step-by-step explanation:

4x+7y=11

7y=11-4x

y=-4/7x + 11/7

Slope or parallel line: -4/7

Point=(-1,-6)

y+6 = -4/7(x+1)

y = -4/7x - 46/7

:]

A =
h(a + b)/2 solve for b

Answers

Answer: b = (−ah+2a)/h

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Add (-1)/2ah to both sides.

Step 3: Divide both sides by h/2.

The answer is B= 2A/H-a

For the data in the table, write an equation for the direct variation.

Answers

The equation of direct variation is,

[tex]\begin{gathered} y=kx \\ k=\frac{y}{x} \end{gathered}[/tex]

Substitute the values of y and x.

[tex]\begin{gathered} k=\frac{5.4}{4} \\ k=1.35 \end{gathered}[/tex]

So, the obtained equation will be y=1.35(x).

Let's check with the values of x.

1) If x=4

[tex]\begin{gathered} y=1.35x \\ y=1.35(4) \\ y=5.4 \end{gathered}[/tex]

2) If x=2

[tex]\begin{gathered} y=1.35x \\ y=1.35(2) \\ y=2.7 \end{gathered}[/tex]

3) If x=-2

what is an example of data organization and analysis

Answers

The answer choices which represents an example of data organisation and analysis are;

Choice A; Drawing a pie chart to show the percentage of sunny days, rainy days, and cloudy days without precipitation.

Choice C. Running a weather station.

Choice E; Summing the number of days with precipitation, summing the number of sunny days, and summing the number of cloudy days without precipitation.

Data organisation and Analysis.

The concept above as the name implies involves the process of gathering data in a bid to further carry out analysis and consequently, draw inferences from such analysis.

Therefore, the answer choices A, C and E represent such activities which involve data organisation and analysis.

Complete question:

What is an example of data organisation and analysis?

Check all that apply.

A. Drawing a pie chart to show the percentage of sunny days, rainy days, and cloudy days without precipitation

B. Rejecting extreme data

C. Running a weather station

D. Transferring the weather data to a computer application

E. Summing the number of days with precipitation, summing the number of sunny days, and summing the number of cloudy days without precipitation.

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An example of data organization and analysis include:

A. drawing a pie chart to show the percentage of sunny days rainy days and cloudy days without precipitation.

E. summing the number of days with precipitation summing the number of sunny days and summing the number of cloudy days without precipitation

What is data organization?

Data organization and analysis are accomplished by a process of categorizing and organizing data based on its category and how it is studied. A is an example of data organizing and analysis.

Drawing a pie chart to display the percentage of sunny days, rainy days, and cloudy days without precipitation - in this example, data organization is done through charts and graphs, with data classification visible. e is another example.

Summing the number of days with precipitation, sunny days, and cloudy days without precipitation - in this example, data organizing is done solely through summation of numbers, with no graphs or charts to graphically portray the data.

In conclusion, the correct options are A and E.

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Which of the following activities are examples of data organization and analysis?

Check all the apply.

A. Drawing a pie chart to show the percentage of sunny days, rainy days, and cloudy days without precipitation

B. Rejecting extreme data

C. Running a weather station

D. Transferring the weather data to a computer application

E. Summing the number of days with precipitation, summing the number of sunny days, and summing the number of cloudy days without precipitation.

What is the solution set of the following equation?
-8x + x + 15 = -7x + 12

a. Ø
b. {all reals}
c. {1/7}

Answers

Answer:

A

Step-by-step explanation:

(-8x  +  x) + 15  = -7x +12

   -7x    +15 = -7x + 12

      15 = 12          There are no solutions

3 movie tickets cost $36. At this rate, what is the cost per ticket?​

Answers

The cost per ticket is $12!

Answer:

12

Step-by-step explanation:

36 divided by 3 is 12

NAME
DATE
PERIC
Lesson 3: More about Constant of Proportionality
Cool Down: Fish Tank
Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table
as you answer the questions.
1.
How many gallons of water will be in the fish tank after 3 minutes? Explain your
reasoning.
2.
How long will it take to fill the tank with 40 gallons of water? Explain your reasoning
3. What is the constant of proportionality?

Answers

The ratio of one variable quantity to another that is always constant and to which it is proportional is known as the constant of proportionality then the constant of proportionality exists r = 1.6.

What is meant by constant of proportionality?

The ratio of one variable quantity to another that is always constant and to which it is proportional is known as the constant of proportionality.

Given

x            y

0.5.     0.8

1.         1.6

3.        4.8

25.       40

To estimate the constant of proportionality uses the following formula:

y = r x

Where r is the constant of proportionality;

Simplify the value of r, we get

r = y/x

Substitute the values of x = 0.5 and y = 0.8, in the above equation then

r = 0.8/0.5

r = 1.6

When x = 1 ; y = 1.6

r = 1.6/1

r = 1.6

When x = 3; y = 4.8

r = 4.8/3

r = 1.6

When x = 25 ; y = 40

r = 40/25

r = 1.6

The value of r exists constant.

Therefore, the constant of proportionality exists r = 1.6.

The complete question is:

Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table and answer the question below.

time (minutes) water (gallons)

0.5 0.8

1

3

40

What is the constant of proportionality?

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In the figure ZX = 2x + 1 YW = 3x - 1 and YX = 1, find perimeter of VYZ

Answers

The perimeter of triangle VYZ is 12 units.

How to find the perimeter of a triangle?

The perimeter of a triangle is the sum of the whole sides of the triangle.

In other words, the perimeter of a triangle is the total distance covered by its boundaries or the sides.

Therefore,

perimeter of ΔVYZ = VY + ZY + ZV

Therefore,

VY  =  ZY = ZV = XW

Hence,

YW = YX + XW

Therefore,

XW = YW - YX

YW  = 3x - 1

YX = 1

Hence,

XW = 3x - 1 - 1

XW = 3x - 2

Therefore,

perimeter of ΔVYZ = 3x - 2 + 3x - 2 + 3x - 2

perimeter of ΔVYZ = 9x - 6

ZX = YW

2x + 1 = 3x - 1

2x - 3x = - 1 - 1

-x = -2

x = 2

Therefore,

perimeter of ΔVYZ = 9(2) - 6

perimeter of ΔVYZ = 18 - 6

perimeter of ΔVYZ = 12 units

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Which system is responsible for carrying this oxygen to the muscles?

Answers

Answer:

The circulatory system

Step-by-step explanation:

Is this math? lol

:]

If x is a positive integer, this expression is equivalent to what?

Answers

Given:

[tex]\text{ Th expression is }4x^{\frac{1}{2}},\text{ x is a positive integer.}[/tex]

Required:

Which option is equivalent?

Explanation:

The equivalent for is

[tex]\begin{gathered} =4x^{\frac{1}{2}} \\ =4\sqrt{x} \end{gathered}[/tex]

Answer:

Option B is correct answer.

Question 5Which of the following is equivalent to (2 – 2) (x - 1)

Answers

[tex]\begin{gathered} (x-2)(x-1)=x^2-x-2x+2=x^2-3x+2 \\ \end{gathered}[/tex]

"-2+8" > "-2" heeeeelpp

Answers

Answer: Yes this equation means 6 is greater than -2, making this a true statement if that was what you're asking for.

Question
Solve 2y−18x=−26 for y.

Answers

Answer:

-26

Step-by-step explanation:

May I please get help with this. I have tried multiple times but still could not get the correct answers for them

Answers

ANSWER

[tex]\frac{2}{5}[/tex]

EXPLANATION

To find the scale factor of the model to the sculpture, we have to divide one set of measurements of the model and sculpture.

Let us divide the length of the model by that of the sculpture:

[tex]\begin{gathered} \frac{10}{25} \\ \Rightarrow\frac{2}{5} \end{gathered}[/tex]

That is the scale factor of the model to the real sculpture.

Please help me find out what 758x92 is

Answers

Answer:69736

Step-by-step explanation:

69,736

is the answer

0.8-2x=-1.4

Solve for x

Answers

Answer:

x= -0.3

Step-by-step explanation:

0.8-2x=1.4 Set up equation

-2x=1.4-0.8  Put Like terms together

-2x=0.6       Subtract like terms

x=0.6/-2     Divide

x=-0.3        Answer

please help need this asap!!!!! PLEASE SOMEONE ANSWER I WILL GIVE EXTRA POINTS!!!

Answers

The area of the circles are as follows:

254.34 km²1962.5 mm²379.94 m² 907.46 cm²

How to find area of a circle?

The area of a circle can be found as follows;

area of a circle = πr²

where

r = radius

Therefore,

a.

area of the circle = πr²

diameter = 18km

r = 18 / 2

r = 9 km

Hence,

area of the circle = πr²

area of the circle = 3.14 × 9²

area of the circle = 254.34 km²

b.

area of the circle = 3.14 × 25²

area of the circle = 3.14 × 625

area of the circle = 1962.5 mm²

c.

area of the circle = 3.14 × 11²

area of the circle = 3.14 × 121

area of the circle = 379.94 m²

d.

area of the circle = 3.14 × 17²

area of the circle = 3.14 × 289

area of the circle = 907.46 cm²

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Choose the statements that are true about a cube with side length 1 unit.
It has a volume of 6 cubic units.
It has a volume of 1 cubic unit.
It has a volume of 3 cubic units.
It is called a "one block."
It can be used to measure volume.
It is called a "unit cube."

Answers

The answer to the mentioned statement are :

first statement is WRONG

the second statement is RIGHT

The third statement is also WRONG

the fourth statement is RIGHT

fifth statement is RIGHT

sixth statement is WRONG

The side of the given cube is 1 unit.

This means that the Length= Breadth = Height = 1 unit because it is cube

This means that the volume can be described as

( side ) ³

that is 1 × 1 × 1 = 1 cubic unit

thus the first statement is WRONG

However the second statement is RIGHT

The third statement is also WRONG

since it is a cube whose volume is 1 cubic unit

thus we can say that it is one block

Thus the fourth statement is RIGHT

fifth statement is RIGHT

sixth statement is WRONG

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Express each phrase as a rate and unit rate.
(Round your answer to the nearest hundredth.)
1) 7 calculators cost $120.00

Answers

Answer:

$100.00

Step-by-step explanation:

5 and above ex: 150 =200 140=100 under 5 keep the first letter then turn the other numbers into 0's 5 and above make the first number go up one then turn the rest of the numbers in to 0's

A retired couple invested $8000 in bonds. At the end of one year, they received an interest payment of $456. What was the simple interest rate of the bonds?

Answers

5.7%

Explanaton:

let amount invested = Principal = $8000

time = 1 year

rate = ?

Interest = $456

To get the rate, we'll apply simple interest formula:

[tex]\begin{gathered} I\text{ = PRT} \\ I\text{ = interest, P = principal, R = rate, T = time} \end{gathered}[/tex][tex]\begin{gathered} 456\text{ = 8000}\times R\times1 \\ 456\text{ = 8000R} \\ \text{divide both sides by 8000:} \\ \frac{456}{8000}\text{ =}\frac{8000R}{8000} \\ \\ R\text{ = 0.057} \\ In\text{ percent, rate = 0.057}\times100 \\ \text{Rate = 5.7\%} \end{gathered}[/tex]

Hence, the simple rate of the bonds is 5.7%

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