In the sequence 2001, 2002, 2003, ... , each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is 2001+2002−2003=2000. What is the 2004th term in this sequence?

Answers

Answer 1

Answer:

The answer is 0.

Step-by-step explanation:

Let's call the answer a.

We want to find a(2004)

That's an even term. We look at the even terms:

2   2002

 4   2000

6   1998

8   1996

10   1994

12   1992

 

We see that the pattern for the even terms is  

"if you add n and a(n), the sum is always 2004."

That is n + a(n) = 2004, or,

           a(n) = 2004-n when n is even

So when n = 2004, a(2004) = 2004-2004 = 0

Answer: 0


Related Questions

helppppp me answer this plz

Answers

Answer:

Green: 50%

Purple: 25%

Black: 25%

Step-by-step explanation:

Well, the circle has 4 equal sections.

2 are green

1 is purple

1 is black

To find the probability of the spinner landing on each section we make a fraction.

Green)

2/4 simplified,

1/2, as a percent is 50%

Purple)

1/4,

1 divided by 4 =  .25

To make that into a percent we move the decimal 2 places to the right -> 25%

Black)

1/4

1 divided by 4 =  .25 as a percent 25%

The answer is the last choice. This is because as you can see the green part takes up already heaps of the circle meaning that it is 50%. So then the purple takes up 25 percent of it and the black also takes up 25 percent of it since the purpose is 1/4 of the circle and so is the black. I hope this helps.

the graph of y=f(x) is shown on the grid

Answers

Answer:

look below

Step-by-step explanation:

The equation of graph g(x) = f(-x) as it has been rotated along y-axis and the maximum coordinates of g(x) is (-3, 4).

What is a function?

A function can be thought of as output for the given set of inputs. The output is called the dependent variable and the inputs are called the independent variable.

We know when we rotate a function along the y-axis sign of x changes.

Given a function y = f(x) after rotation along y-axis it becomes y = f(-x) = g(x)

and if the given function is odd f(-x) becomes -f(x).

Also given that the maximum point of f(x) = (3, 4).

∴ Function  g(x) will have maximum at coordinates (-3, 4).

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Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function.

the graph of an exponential function f of x equals two and two tenths to the power of x minus 7 tenths and a quadratic function g of x equals one eighth times x squared plus 2 times x plus 8

Answers

Answer:

(4.462, 19.411)

Step-by-step explanation:

From the description, the functions are:

f(x) = (11/5)^(x - 7/10)

g(x) = 1/8x² + 2x + 8

(Notice that 2 2/10 is equivalent to 22/10 = 11/5)

In the picture attached, the plot of the functions is shown. The exponential is in red and the quadratic is in blue. The exponential function begins to exceed the quadratic function from point (4.462, 19.411)

It's B (3.5, 17)

I don't know how that other guy got that but for me it's (3.5, 17) since I got it right.

Can I pls have help with question 8 and 9

Answers

Answer:

2.88 kilometers

Step-by-step explanation:

8. If the round trip took 17/20 of an hour.

How long does it take in minutes?

1 hour=60 minutes

17/20*60

=17*3

=51 minutes

9. Calculate the distance between the supermarket and Hilary's house

Speed=distance/time

Distance=speed × time

Total speed=30km/h+12km/h

=42km/h

Total time=17/20 hour

Time spent for 30km/h=30/42*17/20

=510/840

=0.61h

Time spent for 12km/h=12/42*17/20

=204/840

=0.24h

Supermarket to Hilary's house=12km/h

Distance=speed × time

=12×0.24

=2.88 kilometers

Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Graph showing how many cards were collected each week. Vertical axis labeled Cards collected. Coordinate pairs plotted at 1,4, 2,6, 3,8, 4,9, 5,12, 6,13, 7,14, 8,15, 9,18, 10,20.

Answers

Answer:

20

Step-by-step explanation:

12/5 means roughly 2 cards per week

In 4 weeks he would get 8 additional cards

12+8=20

Hope this help!

Help pleaseeeeeeeeeeeeee and write it descriptively

Answers

Answer:

14)  [tex]\frac{1}{2} n-1[/tex] (half of n is [tex]\frac{1}{2} n[/tex] and subtract that with 1)

15) 3o+4 ( multipy o with 3, it becomes "3o" and add that with "4")

16) 5p-2 (same concept as No.15)

17) 7+r ( add 7 with "r")

18) s+7 (same concept with No.18)

19) t-10 (subtract 10 from "t")

20) 10-u ( subtract "u" from 10)

21) 2v ( multiply 2 with v)

22) 2w (same concept as No.21)

23) [tex]\frac{x}{5}[/tex] (divide x with 5 and show the result in fractions)

24) [tex]\frac{5}{y}[/tex] ( divide 5 with y and show the result in fractions)

Tip : Alphabets and numbers never combine unless you multiply them with it (eg. 3*x = 3x) but ( 3+x stays like that ).

-125>-135 divide each side by -5 what is the resulting true inequality

Answers

Answer: 25<27

Step-by-step explanation:

-125/-5=25

-135/-5=27

25<27

Answer:

[tex]\boxed{25<27}[/tex]

Step-by-step explanation:

[tex]-125 > -135[/tex]

Dividing both sides by -5

=> [tex]\frac{-125}{-5} < \frac{-135}{-5}[/tex]

=> [tex]25 < 27[/tex]

10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
O A.3
O B.4
O C.5
O D.8

Answers

Answer:

A. 3

Step-by-step explanation:

Let the integers be

x

(x+1)

(x+2)

(x+3)

Sum the integers

We have,

x+(x+1)+(x+2)+(x+3)=18

x+x+1+x+2+x+3=18

4x+6=18

Subtract 6 from both sides

4x-6=18-6

4x=12

Divide both sides by 4

4x/4=12/4

x=3

The smallest integer which is x is equal to 3

Check:

3+4+5+6=18

Which interval would not be used for the stems of a stem-and-leaf plot? 10 100 1 5

Answers

Answer:

i think it's 100

Step-by-step explanation:

100 is the interval which would not be used for the stems of a stem-and-leaf plot.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

In a stem-and-leaf plot, the stem is typically the leftmost digits of a number and the leaf is the rightmost digit.

The stem represents the largest common place value of the numbers being plotted.

If the data set is {12, 15, 21, 26, 30, 31, 35, 38}, the stem would be the tens place and the leaf would be the ones place.

The stem values would be 1, 2, 3, and 4.

Therefore, the interval for the stems should be determined by the range of the data set.

Hence, 100 is the interval which would not be used for the stems of a stem-and-leaf plot.

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pls hurry the answer is not 36.......Given a * b=ba−ba+ab, find (2*3)×(3*2).

Answers

Answer:

36

Step-by-step explanation:

In the above question, we have been given a rule to follow

Given a * b = ba−ba+ab

We are to find (2*3)×(3*2)

Let simplify each bracket first

a * b = ba−ba+ab

2*3, a = 2, b = 3

2*3 = 3×2 - 3×2 + 2×3

= 6 - 6 + 6

= 6

a * b = ba−ba+ab

3*2, a = 3, b = 2

3*2 = 2×3 - 2×3 + 3×2

= 6 - 6 + 6

= 6

(2*3)×(3*2)

= 6 × 6

= 36

The answer is 36

Question 6 Essay Worth 5 points)
(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
40
SO
Write and solve an equation to determine the measure of angle y.
I

Answers

The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.

How can we find the solution to an equation?

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.

The angles subtended by a circle is 360°, then;

The equation is found as;

[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]

The sum of angle of the two right angle is 180°;

x°+40°+50°=180°

x=90°

y+50°+40°=180°

Y=90°

Hence, the value of y will be 90°.

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What is the value of f(6) in the function below?
f(x) = 2x
HELP ASAP PLS

Answers

Answer:

f(6) = 64

Step-by-step explanation:

f(x) = 2^x

Let x = 6

f(6) = 2^6

     = 2*2*2*2*2*2

    = 64

Answer:

B. 64

Step-by-step explanation:

[tex]f(x)=2^x[/tex]

Plug x as 6 and solve.

[tex]f(6)=2^{(6)}[/tex]

[tex]f(6)=2^6[/tex]

[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]f(6)=64[/tex]

Find the inequality represented by the graph?

Answers

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

                                                          Features                                                          

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.

The linear function can be found by using the point-slope formula:

[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:

[tex]y -3 = \left(\frac{1-3}{3-0} \right)\cdot x[/tex]

[tex]y = -\frac{2}{3}\cdot x+3[/tex] (1b)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

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Gemma is creating a histogram based on the table below. Salary Range Number of People 0 - $19,999 40 $20,000 - $39,999 30 $40,000 - $59,999 35 Which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized? 0–50 0–40 10–50 25–40

Answers

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~~

Your answer would be (D) 25–40

Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.

Thus, (D) is the correct answer.

Answer:

Its D

Step-by-step explanation:

for all the ppl who don't care how they got it

a storybook is sold at a discount of 20%. If the discount is $3, what is the selling price of the storybook

Answers

Answer:

Step-by-step explanation: the discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.

We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.

0.2x = 3

Divide both sides by 0.2.

x = 3/0.2

x = 15

The regular price is $15.

Answer:

12

Step-by-step explanation:

x = original price

x* 20% = 3

Change to decimal form

x*.2 = 3

Divide each side by .2

x*.2 /.2 = 3/.2

x =15

The original price is 15

Selling price is 15-3 = 12

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2) How does the slope of g(x) compare to the slope of f(x)? The slope of g(x) is the opposite of the slope of f(x). The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). The slope of g(x) is equal to the slope of f(x). ALSO ITS NOT A NUMBER ANSWER

Answers

Answer:

Option B.

Step-by-step explanation:

If a line passing through two points, then the slope of line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that f(x) passing through the points (0,-2) and (1,1). So, slope of f(x) is

[tex]m_1=\dfrac{1-(-2)}{1-0}=1+2=3[/tex]

It is given that g(x) passing through the points (-4,0) and (0,2). So, slope of g(x) is

[tex]m_2=\dfrac{2-0}{0-(-4)}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Since, [tex]\dfrac{1}{2}<3[/tex], therefore [tex]m_2<m_1[/tex].

The slope of g(x) is less than the slope of f(x).

Therefore, the correct option is B.

Write the interval {x|1 < x < 3} as an i inequality
and using interval notation.

Answers

Answer:

1 < x < 3

(1 , 3)

Step-by-step explanation:

We have been provided with a set that is

{x|1 < x < 3}

We have to write it in both as an inequality and also in the form of interval notation.

The inequality can be found easily by just looking at the given set. It states that the set contains x, such that x is greater than 1 and x is smaller than 3, so the inequality can be written as:

1 < x < 3

To write in interval notation, we use brackets, As both 1 and 3 are not included, we'll use round brackets to show the interval.

(1 , 3)

Given that P(B|A)=0.88 and P(A)=0.46, what is P(B AND A)? Round to three decimal places.

Answers

Answer:  0.405

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

Work Shown:

The notation P(B|A) has a vertical line separating the B and A

Given values

P(B|A) = 0.88P(A) = 0.46

----------

P(B|A) = P(B and A)/P(A) ... conditional probability formula

P(B and A) = P(B|A)*P(A) ... solve for P(B and A)

P(B and A) = 0.88*0.46 ... plug in given values

P(B and A) = 0.4048

P(B and A) = 0.405 .... rounding to three decimal places

This is the same as P(A and B).

Evelyn flips three coins simultaneously. The theoretical probability that only two of the coins will turn up heads 3/8. If Evelyn flips the three coins simultaneously 200 times, how many times can she expect only two heads to turn up

Answers

Answer:

75

Step-by-step explanation:

200 ÷ 8 = 25

25 x 3 = 75

The number of times 2 coins will turn heads up is 75, the correct option is D.

What is Probability?

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.

When 3 coins are flipped, there is two probabilities,

The probability of getting a head or a tail is 1/2.

The probability that there will be 2 coins that will turn up heads is 3/8

Probability is defined as the ratio of favorable outcomes to total outcomes.

If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,

= (3/8) * 200

= 75

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Honeydew lemons sell in a market place for $24.95 per box. One box contains 9 melons. How much would you have to pay for 17 melons?​

Answers

Answer:

47.13 for 17 melons

Step-by-step explanation:

We can use a ratio to solve

24.95               x dollars

---------------- = ----------------

9 melons          17 melons

Using cross products

24.95 * 17 = 9x

Divide by 9

24.95 * 17/9 = x

47.127777777 = x

Rounding to the nearest cent

47.13 for 17 melons

Answer:

$47.12

Step-by-step explanation:

We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.  

Please help me with the question below

Answers

Answer: In the top box:   S ≥ 2000 - (S + 178)    

S ≥ 2000 - A      A = S + 178  substituted for  A in the first  equation

The solution is S ≥ 911    and  A ≥ 1089

Step-by-step explanation:

S ≥ 2000 - (S + 178)

S ≥ 2000 - S -178    Add S to both sides,

S + S ≥ 2000 -178

2S ≥ 1822

S ≥ 911     so  A ≥ 911 + 178   A≥ 1089  (but the question shown doesn't ask that)

This means that if Shane collected at least 911 cans and Abha collected at least 1089, their total was at least 2000.

What is the area of the obtuse triangle below?
다​

Answers

Answer

B. 49.5 sq. units

Explanation

An area of a triangle is

B • H / 2

Where b = base and h = height.

Substitute base = 11 and h = 9

9 • 11 / 2 = 49.5

<~>\_/<~> Ho_odini <~>\_/<~>
49.5 because you aren’t all the way at 9 I have no other way to explain it

Consider the system of equations.
y = 3x + 2
y=-fx-4
Explain why these particular equations can be graphed
immediately

Answers

Answer:

Because these are in slope-intercept form which is much easier because y=mx+b means that m=the slope, and b=y intercept so all your information is laid out in front of you.

Step-by-step explanation:

Should I use SAS (side angle side) or SSS (side side side) to see if the triangles are congruent? AND WHY?

Answers

U should use sas to see if the triangles are congruent

Another help!! I need help ASAP guys

Answers

Answer:

B (the second choice)

Step-by-step explanation:

to calculate the area of a circle you use the formula A= π r²

the radius of the circle is 5 in, so the only answer that could work is

π(5in)²(30/360).

Hope this helps <3

~sunflowerpug

UwU

what is the quadratic equation?

Answers

In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers

12/ y + 8 = 4/9 Thats the question. Im dyin for help. :)

Answers

Answer:

-1 10/17

Step-by-step explanation:

Answer:

y = 1 10/17

Step-by-step explanation:

The LCD is 9y.  Multiply all three terms by 9y:

(9y)(12)                   (9y)(4)

----------- + 8(9y) = -----------

     y                           9

This reduces to 108 + 72y = 4y, or 108 = -68y

Dividing both sides by 68, we get y = 1 10/17

Solve this system using the substitution method: y = 6x – 5; y = (2/3)x + 1

Answers

Answer:

x = 1.125

Step-by-step explanation:

6x – 5 = (2/3)x + 1

6x - (2/3)x = 1 + 5

(16/3)x = 6

x = 9/8

x = 1.125

Please help me I would appreciate it

Answers

Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)

Find CE. Please explain step by step!

Answers

Answer:

30

Step-by-step explanation:

We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.

Answer:

Step-by-step explanation:

BE=BC=25 in

trg BCE isosceles so CE=2✓25^2-20^2

=2"✓625-400=2*✓225=2*15

CE=30

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