NO LINKS!! Please help me with this sequence Part 1x​

NO LINKS!! Please Help Me With This Sequence Part 1x

Answers

Answer 1

Answer:

2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784 2,490,930 neither 121,800

Step-by-step explanation:

1. Recursively-defined sequence

You want the first 9 terms of the recursive sequence defined by ...

  [tex]\begin{cases}s_1=2\\s_2=3\\s_n=s_{n-2}(s_{n-1}-1)\end{cases}[/tex]

The attached spreadsheet uses the given formula for the next term. It shows the terms to be ...

  2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784

2. Sequence sum

The attached spreadsheet sum function has been used to find the sum of the first 8 terms. That sum is ...

  2490930

3. Sequence type

The sequence of problem 1 has neither a common difference nor a common ratio between successive terms. It is neither arithmetic nor geometric.

4. Sum of arithmetic sequence

The sum of the first n terms of an arithmetic sequence with first term a1 and common difference d is given by ...

  Sn = (2a1 +d(n -1))(n/2)

You have a sequence with a1 = 12 and d = (18-12) = 6. You want the sum of the first 200 terms.

  S200 = (2·12 +6(200 -1))(200/2) = 121,800

The sum is 121,800.

__

Additional comment

A spreadsheet is a nice tool for finding terms of a recursively-defined sequence. The formula can include as many terms as necessary, and it can be replicated thousands of times, if necessary. The limitation is that arithmetic is generally limited to 16 significant figures, or so.

NO LINKS!! Please Help Me With This Sequence Part 1x
Answer 2

Answer:

1.  

s₁ = 2

s₂ = 3

s₃ = 4

s₄ = 9

s₅ = 32

s₆ = 279

s₇ = 8,896

s₈ = 2,481,705

s₉ = 22,077,238,784

2. 2,490,930

3.  Neither.

4.  121,800

Step-by-step explanation:

Question 1

A recursive rule for a sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.

Given recursive rule:

[tex]\begin{cases}s_n=s_{n-2} \cdot (s_{n-1}-1)\\s_1=2\\s_2=3\end{cases}[/tex]

Therefore, the first 9 terms of the sequence are:

[tex]s_1=2[/tex]

[tex]s_2=3[/tex]

[tex]\begin{aligned}s_3&=s_{3-2} \cdot (s_{3-1}-1)\\&=s_{1} \cdot (s_{2}-1)\\&=2 \cdot (3-1)\\&=2 \cdot 2\\&=4 \end{aligned}[/tex]

[tex]\begin{aligned}s_4&=s_{4-2} \cdot (s_{4-1}-1)\\&=s_{2} \cdot (s_{3}-1)\\&=3 \cdot (4-1)\\&=3 \cdot 3\\&=9 \end{aligned}[/tex]

[tex]\begin{aligned}s_5&=s_{5-2} \cdot (s_{5-1}-1)\\&=s_{3} \cdot (s_{4}-1)\\&=4 \cdot (9-1)\\&=4 \cdot 8\\&=32 \end{aligned}[/tex]

[tex]\begin{aligned}s_6&=s_{6-2} \cdot (s_{6-1}-1)\\&=s_{4} \cdot (s_{5}-1)\\&=9 \cdot (32-1)\\&=9 \cdot 31\\&=279\end{aligned}[/tex]

[tex]\begin{aligned}s_7&=s_{7-2} \cdot (s_{7-1}-1)\\&=s_{5} \cdot (s_{6}-1)\\&=32 \cdot (279-1)\\&=32 \cdot 278\\&=8896\end{aligned}[/tex]

[tex]\begin{aligned}s_8&=s_{8-2} \cdot (s_{8-1}-1)\\&=s_{6} \cdot (s_{5}-1)\\&=279 \cdot (8896-1)\\&=279\cdot 8895\\&=2481705\end{aligned}[/tex]

[tex]\begin{aligned}s_9&=s_{9-2} \cdot (s_{9-1}-1)\\&=s_{7} \cdot (s_{8}-1)\\&=8896\cdot (2481705-1)\\&=8896\cdot 2481704\\&=22077238784\end{aligned}[/tex]

Question 2

Given series:

[tex]\displaystyle \sum^8_{k=1} s_k[/tex]

The sum notation asks to find the sum of the first 8 terms of the sequence from question 1.

Therefore:

[tex]\begin{aligned}\displaystyle \sum^8_{k=1} s_k&=s_1+s_2+s_3+s_4+s_5+s_6+s_7+s_8\\&=2+3+4+9+32+279+8896+2481705\\&=2490930\end{aligned}[/tex]

Question 3

If a sequence is arithmetic, the difference between consecutive terms is the same (this is called the common difference).

If a sequence is geometric, the ratio between consecutive terms is the same (this is called the common ratio).

As the difference between consecutive terms it not the same, the sequence is not arithmetic.

As the ratio between consecutive terms is not the same, the sequence is not geometric.

Therefore, the sequence is neither arithmetic nor geometric.

Question 4

[tex]\boxed{\begin{minipage}{7.3 cm}\underline{Sum of the first $n$ terms of an arithmetic series}\\\\$S_n=\dfrac{1}{2}n[2a+(n-1)d]$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $d$ is the common difference.\\ \phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

Given arithmetic sequence:

12, 18, 24, ...

Therefore:

a = 12d = 18 - 12 = 6

To find the sum of the first 200 terms, substitute the found values of a and d into the formula along with n = 200:

[tex]\begin{aligned}S_{200}&=\dfrac{1}{2}(200)[2(12)+(200-1)(6)]\\&=100[24+(199)(6)]\\&=100[24+1194]\\&=100[1218]\\&=121800\end{aligned}[/tex]


Related Questions

A 30-sided regular polygon has an angle measure represented as 6g°. Determine the value of g.
g = 30
g = 28
g = 180
g = 168

Answers

The value of g, for a  30-sided regular polygon has an angle measure represented as 6g° is calculated to be 28

How to find the value of g

The problem is solved using the formula for number of angles for n sided polygon

The formula is (n - 2)180

where n = number of sides

for 30-sided polygon the angles is solved as below

= (n - 2)180

= ( 30 - 2 ) * 180

= 28 * 180

= 5040

this is represented as 6g

each angle is measured 5040 / 30 = 168

6g = 168

g = 28

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Answer: 28

Step-by-step explanation: 168 is the whole polygon, so 6 times 28 is 168 therefore its correct, btw i also did the test

find the value of f(4) for the function f(a)=7(a+2) "-7"

Answers

Answer: 35

Step-by-step explanation:

[tex]f(4)=7(4+2)-7\\\\f(4)=7(6)-7\\\\f(4)=7(5)\\\\f(4)=35[/tex]

The number of men and women receiving​ bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of​ 2014, the number of men receiving degrees​ (in thousands) is given by the equation y= 3.9x+446​, and for​ women, the equation is y= 14.2x+316​, where x is the number of years after 1970.

Answers

Answer:

if what I think you want is the number of bachelor degrees from from 1970 to 2014 for both men and women is then:

men: 617.6

women: 940.8

Step-by-step explanation:

from 1970 to 2014 it is 44 years so we plug 44 into x for both equations

Men:

y = 3.9(44) + 446

y = 171.6 + 446

y = 617.6

Women:

y = 14.2(44) + 316

y = 624.8 + 316

y = 940.8

How long will it take to double your money if you invest in an account that pays 8% interest, compounded continuously

Answers

The time that would be taken for the money to double is 9 years.

How long would it take to double the money?

Given that a compound interest has to do with the type of interest that is charged both on the principal and on the interest. We know that the principal is the money that was invested.

Let the principal be P and let the time taken be t. Let us now apply the formula;

A = P(1 + r)^n

Where A = 2P and r = 0.08

2P = P(1 + 0.08)^n

2P/P = (1.08)^n

2 = (1.08)^n

ln2 = nln1.08

n = ln2/ln1.08

n = 0.693/0.077

n = 9

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Is it possible for a number to be a product of 2, a product of 5,
and a product of 10? Explain.

Answers

Answer: Yes

Step-by-step explanation:

Yes, it is because if you multiply 2 and 5, you get 10. 2 and 5 LCM is also 10. If you check 2 and five multiples you see this is also proved true.

2 - 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ...

5 - 5, 10, 15, 20 ...

Write the equation in slope-intercept form. Then choose the line's slope and y-intercept from the choices. So, choose two total answers. 6x+8y=-32

Answers

Answer:

Slope = -3/4, y-intercept = -4

Step-by-step explanation:

[tex]6x+8y=-32 \\ \\ 3x+4y=-16 \\ \\ 4y=-3x-16 \\ \\ y=-\frac{3}{4}x-4[/tex]

So, the slope is -3/4 and the y-intercept is -4.

I need the answer and work please.

Answers

Answer: you prob fininshed 5,3

Step-by-step explanation:

also this is easy im srry for doing this

Write a real world situation that could be modeled by the expression, 300+7x.

Answers

A real world situation that could be modeled by the expression, 300+7x is that Bob bought goods for $300 and then bought 6 pens that cost x dollar each.

What is an expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both

In this case, Bob bought goods for $300 and then bought 6 pens that cost x dollar each. The total cost will be:

= 300 + (7 × x)

= 300 + 7x

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The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval −9≤x≤1?

Answers

The average rate of change of the function f(x) on the interval −9≤x≤1 is of:

r = -0.2.

How to obtain the average rate of change of a function?

The average rate of change of a function is obtained by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given by the equation presented as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Over the interval −9≤x≤1, the bounds of the interval are given as follows:

a = -9, b = 1.

From the graph shown by the image presented at the end of the answer, the numeric value of the function at each of these bounds is given as follows:

f(-9) = 3.f(1) = 1.

Hence the average rate of change of the function on the interval is calculated as follows:

r = (1 - 3)/(1 - (-9)) = -2/10 = -0.2.

Missing Information

The graph is shown by the image at the end of the answer.

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What does s equal in 3s=24

Answers

24 divide by 3 = 8
Answer is 8

A teacher is four times as old as a student in 20 years the student age will be half of the teacher age how old are they now

Answers

Let the present age of student be x

Present of teacher will be 4x

After 20 years,

Age of student = x + 20

Age of teacher = 4x + 20

According to the given condition after 20 years,

x + 20 = (4x + 20)/2

x + 20 = 2x + 10

2x - x = 20 - 10

x = 10

So student's present age is 10 years while teacher's is 4 x 10 i.e 40 years.

Hope This Helps You!

Help please i dont know how to do this.

Answers

A 270° counterclockwise rotation about the origin is the different one

How to determine which one is different?

Rotation simply means turning

In order to answer this question, you need to know some rules about rotation. They are as follows:

1. If a point P, whose position vector is (x,y), is rotated 90° counterclockwise rotation about the origin, the position of the image P' is (-y, x)

2. If a point P, whose position vector is (x,y), is rotated  270° clockwise rotation about the origin, the position of the image P' is (-y, x). This is the same number 1

3. A 90° leftward rotation about the origin is the same as a 90° counterclockwise rotation about the origin. This is the same with number 1

4.  If a point P, whose position vector is (x,y), is rotated  270° counterclockwise rotation about the origin, the position of the image P' is (y, -x). This is different from the other three.

From the graph: A(1, 2), B(2, 4), C(4, 2)

Answer for the different question: A'(2, -1), B'(4, -2), C'(2, -4)

Answer for the same three question: A'(-2, 1), B'(-4, 2), C'(-2, 4)

Therefore, a 270° counterclockwise rotation about the origin is the different one. The 4th option is the answer

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The height of a plant grew linearly over the course of a month. Initially the plant was 2 inches tall and it grew at an average rate of change of 0.125 inches per day.
a. Find an equation that models the height of the plant H in terms of the number of days d.
b. Determine the height of the plant after 15 days.

Answers

The equation that models the height of the plant H in terms of number of days is H = 1.875+0.125d and the height of the plant after 15 days is 3.75 inches.

According to the question,

We have the following information:

Initially the plant was 2 inches tall and it grew at an average rate of change of 0.125 inches per day.

2, 2.125, ...

Now, this series will become an arithmetic progression.

Formula to find the nth term:

an = a+(n-1)d

H = 2+(d-1)0.125

H = 1.875+0.125d

Now, the height after 15 days will be:

H = 1.875+0.125*15

H = 1.875+1.875

H = 3.75 inches

Hence, the equation that models the height of the plant H in terms of number of days is H = 1.875+0.125d and the height of the plant after 15 days is 3.75 inches.

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Which inequality is equivalent to -x<8

Answers

Answer:(-7, infinite down)

Step-by-step explanation: -7,-8,-9...

Please help
A waste bin is in the shape of a cylinder . The diameter of the base is 20cm and the height is 25cm . what is the volume of the waste bin.

Answers

Answer:

[tex]250\pi[/tex] cm³

Step-by-step explanation:

If the radius is 20 cm, the diameter is 10 cm.

Thus, the volume is [tex]\pi(10^2)(25)=250\pi[/tex] cm³.

in a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/3 of the drink in apple juice and 1/2 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form


URGENT

Answers

The ratio of cranberry juice to apple juice to orange juice in the fruit punch is  = 1 : 2 : 3

Let the total quantity of juice is 60 ml .

Now the apple juice is 1/3 of 60 = 20 ml

The orange juice is 1/2 of 60 = 30 ml

Therefore cranberry juice = 60 -(20+30) ml = 10 ml

Now the ratio of cranberry juice to apple juice to orange juice

= 10 : 20 : 30

= 1 : 2 : 3

We can exactly find out how much of one simple quantity is included in the other by simply comparing two amounts of the same units. Ratios can be divided into two smaller groups.

One is the part to the whole ratio; the other is the part to the part ratio. The exact relationship that is between the two distinct entities or groupings is only exactly depicted by the part-to-part ratio.

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Solving an Equation Involving Inverse Trigonometric Functions
sec^-1 x = csc^-1 2

Answers

The solution of the trigonometry function is  2√3/3.

What is the trigonometric function?

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given trigonometric function is

sec^(-1) x = csc^(-1) 2

Assume that,

csc^(-1) 2 = z

→ 2 = csc z

→ 1/2 =1/ (csc z)

→ 1/2 =sin z

The trigonometry identity is [tex]\cos x =\sqrt{1-\sin^2x}[/tex].

[tex]\sqrt{1-(\frac{1}{2})^2 } =\cos z[/tex]

→ cos z = √3/2

→ sec z = 2/√3

→ sec z = 2√3/(√3×√3)

→ sec z = 2√3/3

→  z =sec^(-1) ( 2√3/3) = csc^(-1) 2

Putting csc^(-1) 2 = sec^(-1) ( 2√3/3):

sec^(-1) x = sec^(-1) ( 2√3/3)

→ x = 2√3/3

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D degrees warmer than 50 degrees is 78 degrees

Answers

78 degrees is 28 degrees warmer than 50 degrees, as 78-50 = 28

Answer:

28

Step-by-step explanation:

Translate words into math -- "warmer" means +, "is" means =

So  D + 50 = 78
D = 78 - 50

D = 28


The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many
students are girls?

Answers

Answer:

Let the girls be x

then, 5:4 = 5x and 4x

,

total stud.=36 so,

5x+4x=36

9x=36

x=36÷9

hence

x=4

now, boys = 5x=5×4=20

girls= 4x=4×4=16

so there are 16 girls

Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
A. It goes through the origin.
B. It is in quadrants I and II.
C. The left half has a slope of 1.
D. It is V-shaped.

Answers

Answer: All Are correct

Step-by-step explanation:

Look at graph, the vertex hits the origin, the parent function is on the top half of the graph (quads 1 and 2), both the left and right side have a slope of 1, and it is v shaped!

if a=5, b=-2 and c=3 find the value of abc​

Answers

Answer:

-30

Step-by-step explanation:

the order of multiplication doesn't matter

a*b*c = 5*-2*3 = -30

A container ship left port last week carrying some goods that weighed a total of 130,980 tons. Today, it stopped in another port to unload. The weight of the goods on the ship is now 91,686 tons. By what percent has the weight of the goods on the ship decreased?

help please annnd thaannks

Answers

Answer:

30%

Step-by-step explanation:

130980-91686=39294

39294/130908=0.3

Answer: 168,609 ton

Hi, to answer this question, first we have to calculate the amount of the weight decrease by multiplying the original weight of the goods (240,870) by the percentage decrease in decimal form ( divided by 100)

Mathematically speaking:

240,870 (30/100) =72,261 ton

Finally we have to subtract that value to the original weight:

240,870-72,261 = 168,609 ton

Feel free to ask for more if needed or if you did not understand something.  

Step-by-step explanation:

If 10 pants cost 240u.m, how much will 8 pants cost?​

Answers

Answer:

8 pants wil cost 192 u.m.

Step-by-step explanation:

1. Establish a rule of 3.

10 pants ----> 240u.m

8 pants  ----> x

2. Solve for x.

In a rule of 3, whenever the x is located at the bottom right corner, you always have to multiply upwards and to the right, and then divide the resulting number by the number on the top left. This is the operation you need to make:

x= (8 x 240) / 10

x= 192

Check the attached image to get a better understanding of this process.

3. Conclude.

8 pants wil cost 192 u.m.

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Proportionality of magnitudes and rule of three

Proportional quantities are divided into directly and inversely proportional.

Two magnitudes are said to be directly proportional

when we multiply one of them by a number, the other is multiplied by the same number, and when we divide one of them by a number, the other is divided by the same number.

Problem :

If 10 pants cost 240u.m, how much will 8 pants cost?

We have:

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \\ \bold{ Assumption \: { \rightarrow} 10 \: pants \: \rightarrow 240 \: u.m\\\sf \: \: \: \: \: \: \: \: \: Question \rightarrow8 \: pants \rightarrow \: x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

As can be seen, the number of pants and the cost are magnitudes directly proportional, and therefore, we put the + sign below the pants and the - sign above.

Therefore we will have:

[tex]\boxed{ \bold{ \: x = \dfrac{240 * 8}{10} = 192 \: u.m} }[/tex]

So the 8 pants cost 192.

4.8 is what percent of 12

Answers

Answer:40%

Step-by-step explanation:

Hillary ate 2/3 of a bag of Hot Cheetos in 3/4 of an hours. How much
of the bag of Hot Cheetos will Hillary eat in 5 hours.

Answers

Answer:

40/9

Step-by-step explanation:

Violet was comparing the price of chicken breast at two stores. The equation
y = 11.38x represents the total cost, in dollars and cents, y, that it costs for
pounds of chicken breast at SuperGrocery B. At SuperGrocery A, 3 pounds of chicken
breast costs $19.11.
How much more expensive is it, per pound, to buy chicken
breast at Store B than at Store A?

Answers

The chicken breast being brought at store B is more expensive than store A as it costs $5.01 more per pound.

Given,

Violet was comparing the price of chicken breast at two stores.

The equation which represents the total cost, in dollars and cents, y, that it costs for x pounds of the chicken breast at Super grocery B is:

y = 11.38x

whereas at store A the chicken breast of 3 pounds costs $19.11.

we are asked to determine how expensive is it per pound to buy chicken breast at store B than store A.

⇒ at store B the total cost is:

y = 11.38x

check the total cost of 3 pounds of chicken breast at store B:

⇒ y = 11.38(3)

since x represents the number of pounds.

⇒ y = $34.14

at store the chicken breast of 3 pounds costs $19.11

⇒ cost difference at both stores for simillar quantity:

⇒ 34.14 - 19.11

= 15.03

The cost of chicken per pound = 15.03/3

= $5.01

Hence the chicken breast at store B is $5.01 more expensive per pound than the chicken breast at store A.

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SUPER EASY!!!!

Given the inequality 3x ≤ 24, determine the value of x.

S:{11}
S:{8}
S:{15}
S:{34}

Answers

Answer:

The answer to the question is B or 8

Step-by-step explanation:

this is because ther is 3x meaning three time what ever the answer is and because 8x3=24 it is equal to 24 so 24 is less than or equal to 24 hence the corr6 answer is 8.

Answer:

the answer is 8

it is given that the rainfall in 2017 of 420mm was 25% more than in 2016. Find the annual rainfall in 2016

Answers

The annual rainfall in 2016 is 336 mm.

Let the annual rainfall in 2016 be 100x mm.

Now it is given that rainfall in 2017 is 25% more than rainfall in 2016.

So. rainfall in 2017 is = 100x + 100x*(25/100) = 100x+25x = 125x mm

Also given that the amount of rainfall in 2017 = 420 mm.

According to question the suitable equation is,

125x = 420

x = 420/125

x = 3.36

Hence the rainfall in 2016 is = 100x = 100*3.36 = 336 mm.

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describe how to map line p onto line q

Answers

Answer:r

Step-by-step explanation:r

How many ways are there to split the integers 1 through 14 into 7 pairs so that in each pair the
greater number is at least 2 times the lesser number?

Answers

The number of ways to split the integers, given the condition and using the Fundamental Counting Theorem, is of:

144.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes considering all trials is calculated by the multiplication of the factorials as presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Given the condition that the greater number is at least 2 times the lesser number we have that the pairs are composed by one number between 1 and 7 and another number between 8 and 14.

Hence the pairs of each number are built as follows:

For the pair of the number 7, there are only one possible outcome, which is of 14.For the pair of the number 6, there are two possible outcomes, which are of either 12 or 13.For the pair of the number 5, there are three possible outcomes, which are of either 10, 11, and whichever of 12 or 13 is not paired with 6.For the pair of the number 4, there are four possible outcomes, which are of either 8, 9, and the two remaining numbers that are not paired with 5 or 6.For the pair of the number 3, there are three possible outcomes, which are the remaining numbers that are not paired with 4, 5 or 6.For the pair of the number 2, there are two possible outcomes, which are the remaining numbers that are not paired with 3, 4, 5 or 6.For the pair of the number 1, there is one possible outcome, which is the remaining numbers that is not paired with 2,3, 4, 5 or 6.

Hence the number of ways to split the numbers is:

2 x 3 x 4 x 3 x 2 = 144.

(the numbers were multiplied because of the Fundamental Counting Theorem).

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Which of the following are all requirements to become President of the United States? A. Must be a former state governor, must win all primary elections, a U.S. CitizenB. Read and write English, high school diploma, member of a political partyC. Must be prominent in their party, must be a Democrat or Republican, must be at the conventionD. At least 35 years of age, native-born citizens of the United States, resident of the United States for at least 14 years During a recession, unemployment compensation payments increase without the need for any government action. This increase is an example of. why does light refract? Write a letter to your friend outside the country telling him why you like to stay in your country A candy company wants to produce 30 kilograms of a special 30% fat content chocolate to conform with customerdietary demands. To obtain this, a 50% fat content imported chocolate is combined with a 20% fat content domesticchocolate in a special melting process. How many kilograms of the 50% fat content chocolate and how many kilogramsof the 20% fat content chocolate are used to make the required 30 kilograms?amount of 50% fat content chocolate = 10 kgamount of 20% fat content chocolate =kg*** The width of a plastic storage box is 2 ft longer then the height the length is a 5 ft longer than the height the volume is 216ft3 What is the formula for the volume of a rectangular prism?What variable expressions represent the length height and width? What equation represents the volume of the plastic storage box 3q-9\le3q9\,\,8q+108q+10 What happens at the massacre at bad axe Janelys went shopping for a new pair a of pants. The listed price of the pair of pantswas $20, but the price with tax came to $21.40. Find the percent sales tax. A mutation in a gene leads to a protein that is less sensitive to ubiquitin. Compared with the normal version of this gene, we should expect to see _______ of the _______ of the mutant in the proteasome. in terms of the investment demand curve, an increase in demand is represented by a(n) ______ shift and a decrease in demand is represented by a(n) ______ shift. a contractor needs to buy nails to build a house. the nails come in small boxes and large boxes. each small box has 50 nails and each large box has 350 nails. the contractor bought 3 more small boxes than large boxes, which altogether had 2950 nails. write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. define the variables that you use to write the system. Which of the following is generally true of most women who have had an abortion?a. A broad cross-section of U.S. women has had abortions b. Three-quarters of women seeking abortions say they cannot afford a child. c. Half of the women seeking abortions say they do not want to be a single parent. d. All of the answers are correct. The superego includes the ______, which prevents us from behaving in a morally improper way by making us feel guilty if we do wrong. What is the domain of the relationship graphed below Domain: {x|x N} domain: Vulcan, Inc., has 7.3 percent coupon bonds on the market that have 7 years left to maturity. The bonds make annual payments and have a par value of $1,000. If the YTM on these bonds is 9.3 percent, what is the current bond price? the immunization clinic nurse is assessing the mantoux tuberculin skin test a client received 2 days ago. the result is positive. the client does not have signs or symptoms of active tuberculosis. the client is upset regarding the positive result and asks when to start the tuberculosis medication regimen. what is the nurse's best response to this question? Thegraph of a quadratic functionFind the domain and the range.with vertex (-3, 4) is shown In the figure below. A restaurant offers a game piece with each meal to win coupons for free food. Theprobability of a game piece winning is 1 out of 4 and is independent of other gamepieces winning. A family orders 4 meals. Let C be the number of coupons the familywins. What type of variable is C? Why? From the chart, estimate (roughly) the number of transistors per IC in 2012. Using your estimate and Moore's Law, what would you predict the number of transistors per IC to be in 2040?