What is the first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22?

Answers

Answer 1

Answer: -2

Step-by-step explanation:

The information in the question can be used to form an equation which goes thus:

2nd term = a + d = 4 ...... i

5th term = a + 4d = 22 ....... ii

From equation i

a = 4 - d ........ iii

Put equation iii into ii

a + 4d = 22

(4 - d) + 4d = 22

4 - d + 4d = 22

4 + 3d = 22

3d = 22 - 4

3d = 18

d = 18/3

d = 6

Commons difference is 6

Since a + d = 4

a + 6 = 4

a = 4 - 6

a = -2

The first term is -2

Answer 2

The first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22 is -2

Given:

second term:

a + d = 4

fifth term:

a + 4d = 22

where

a = first be term

d = common difference

a + d = 4 (1)

a + d = 4 (1)a + 4d = 22 (2)

subtract (1) from (2)

4d - d = 22 - 4

3d = 18

d = 18 / 3

d = 6

substitute into (1)

a + d = 4 (1)

a + 6 = 4

a = 4 - 6

a = -2

Therefore, the first term of the sequence is -2

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Related Questions

12 customers entered a store over the course of 2 minutes. At what rate were the
customers entering the store in minutes per customer?

Answers

Answer:

.16

Step-by-step explanation:

if you divide 2 min into 12 it's going to give you the rate which is .1666666667 and just say .16 each person

In the above figure, m∠P = 135° and m∠Q = (5x)°. If angles P and Q are supplementary angles, what are the value of x and the measure of angle Q?

Answers

Answer:

\(\huge\boxed{\sf m \angle Q = 45\°}\)

Step-by-step explanation:

Given that:

m∠P = 135°

m∠Q = (5x)°

Note:

Supplementary angles add up to 180 degrees.

So,

135 + 5x = 180

Subtract 135 from both sides

5x = 180 - 135

5x = 45

Divide both sides by 5

x = 45/5

x = 9

Since,

m∠Q = (5x)°

m∠Q = [5(9)]°

m∠Q = 45°

\(\rule[225]{225}{2}\)

mga solusyon sa epektibong komunukasyon sa pamilya

Answers

Heyy :) lol I don’t know what u just said but yeah heyy

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

The answer choices below represent different hypothesis tests. Which of the choices are left-tailed tests? Select all correct answers. Select all that apply:
A) H0:X=17.3, Ha:X≠17.3
B) H0:X=19.7, Ha:X<19.7
C) H0:X=11.2, Ha:X<11.2
D) H0:X=13.2, Ha:X≠13.2
E) H0:X=17.8, Ha:X>17.8

Answers

These tests have alternative hypotheses that explicitly state X is less than the specified value.

The alternative hypothesis (Ha) is the other answer to your research question. It claims that there's an effect in the population. Often, your alternative hypothesis is the same as your research hypothesis. In other words, it's the claim that you expect or hope will be true

Left-tailed tests are hypothesis tests where the alternative hypothesis suggests that the population parameter is less than a specified value. Therefore, the correct left-tailed tests among the answer choices are:

B) H0: X = 19.7, Ha: X < 19.7

C) H0: X = 11.2, Ha: X < 11.2

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Pls do individual simple working out for each :)

Pls do individual simple working out for each :)

Answers

Answer:

i) 77 degrees

ii) 82 degrees

iii) 125 degrees

iv) 76 degrees

Step-by-step explanation:

In the picture, we can see the angles shown for <AOB, <BOC, and <COD, and to find AOD, we have to add them all up, and subtract from 360 because 360 is the total angle sum.  

what is the perimeter of 7%

Answers

Answer:

solve the following questions 2x+3=24

The suns diameter if 10 times the diameter of jupiter. If jupiter is 11 times larger than earth, how much larger than earth is the sun

Answers

Given:

The suns diameter is 10 times the diameter of Jupiter.

Jupiter is 11 times larger than earth.

To find:

How much larger than earth is the sun?

Solution:

Let the diameter of earth be x.

Jupiter is 11 times larger than earth. So,

Diameter of the Jupiter = 11x

The suns diameter is 10 times the diameter of Jupiter. So,

Diameter of sun = 10(11x)

Diameter of sun = 110x

Since, diameter of earth is x and diameter of sun is 110x, therefore, diameter of sun is 110 times of the earth.

Hence, the sun is 110 times larger than earth.

The diameter of the sun is 110 times greater than the diameter of the earth.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The sun's diameter is 10 times the diameter of Jupiter. If Jupiter is 11 times larger than earth.

Let the diameter of the Sun, Jupiter, and Earth be S, J, and E respectively

Then we have

S = 10J ...1

J = 11 E ...2

From equations 1 and 2, we have

S = 10 × 11 E

S = 110 E

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HELP Me PLEASE I'M BEGGING. I GOT TO SEND IT TONIGHT

HELP Me PLEASE I'M BEGGING. I GOT TO SEND IT TONIGHT

Answers

Answer:

1. -34

Step-by-step explanation:

if the measure of an interior angle of a regular polygon is 120 find the number of the sides in the polygon

Answers

Answer:

6 sides

Step-by-step explanation:

Interior angle and exterior angle are linear pair.

Let exterior angle = x

x + 120 = 180

x = 180 - 120

x = 60

Number of sides (n) = 360 ÷ measurement of exterior angle

           n = 360 ÷ 60

n = 6

Answer:

6 sides

Step-by-step explanation:

The exterior angle and interior angle sum to 180° , then

exterior angle + 120° = 180° ( subtract 120° from both sides )

exterior angle = 60°

The sum of the exterior angles of a polygon = 360°

To find number of sides n , divide sum by measure of one exterior angle

n = 360° ÷ 60° = 6

Which of the following tools is used to capture data packets over time(continuously or overnight)?PuTTYTraffic AnalyzerWiresharkNetWitness Investigator

Answers

Wireshark is the tool used to capture data packets over time, either continuously or overnight.

Wireshark is a powerful network protocol analyzer that allows you to capture and examine data packets flowing through a network. It provides a comprehensive set of features for capturing, analyzing, and interpreting network traffic.

With Wireshark, you can capture packets from various network interfaces and save them to a capture file for later analysis. It supports capturing packets in real-time, allowing you to monitor network activity as it happens.

Wireshark offers detailed packet-level inspection, allowing you to examine packet headers, payloads, protocols, and other relevant information.

Furthermore, Wireshark supports numerous protocols and provides protocol-specific decoders to interpret and analyze different network protocols. It also offers advanced features like packet coloring, statistical analysis, packet comparison, and the ability to export captured data for further analysis or sharing with others.

Overall, Wireshark is widely used by network administrators, security professionals, and developers to diagnose network issues, troubleshoot problems, analyze network performance, and investigate security incidents by capturing and analyzing data packets over time.

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Find fx and fy, and evaluate each at the given point.
f(x, y) =
9xy
2x2 + 2y2
, (1, 1)

Answers

The partial derivatives of the function f(x, y) are fx = 9y^2 and fy = 4yx^2 + 18xy, and evaluating them at the point (1, 1) gives fx(1, 1) = 9 and fy(1, 1) = 22.

To find fx and fy, we need to compute the partial derivatives of the function f(x, y) with respect to x and y, respectively.

Taking the partial derivative of f(x, y) with respect to x (fx), we treat y as a constant and differentiate each term separately:

fx = (d/dx) [9xy^2 + 2y^2]

= 9y^2 (d/dx) [x] + 0 (since 2y^2 is a constant)

= 9y^2

Taking the partial derivative of f(x, y) with respect to y (fy), we treat x as a constant and differentiate each term separately:

fy = 2 (d/dy) [y^2x^2] + (d/dy) [9xy^2]

= 2(2yx^2) + 9x(2y)

= 4yx^2 + 18xy

To evaluate fx and fy at the given point (1, 1), we substitute x = 1 and y = 1 into the expressions we obtained:

fx(1, 1) = 9(1)^2 = 9

fy(1, 1) = 4(1)(1)^2 + 18(1)(1) = 4 + 18 = 22

Therefore, fx(1, 1) = 9 and fy(1, 1) = 22.

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3 Rewrite each expression as a product of two factors, so that the coefficient of the
variable is 1.
2/3x+8

Answers

The expression 2/3x + 8 can be rewritten as the product of two factors with a coefficient of 1 as:

(x + 12)

To rewrite the expression 2/3x + 8 as a product of two factors with a coefficient of 1, we can factor out the coefficient of x, which is 2/3.

The expression can be written as:

(2/3)x + 8

To factor out the coefficient of x, we divide both terms by 2/3:

[(2/3)x / (2/3)] + (8 / (2/3))

Simplifying further, we get:

x + (8 * 3/2)

Multiplying 8 and 3/2:

x + 24/2

Reducing 24/2 to 12:

x + 12

Therefore, the expression 2/3x + 8 can be rewritten as the product of two factors with a coefficient of 1 as:

(x + 12)

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Evaluate each of the following expressions for
a = -2 and b = -10
1. ab


Answers

answer: 20
Explanation: it’s 20 because when 2 variables are together it automatically multiples and when you have 2 negatives they become positives

Consider the parabola y = 4x - x2. Find the slope of the tangent line to the parabola at the point (1, 3). Find an equation of the tangent line in part (a).

Answers

The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line.  we must first calculate the derivative of the given equation.

We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).

We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.

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A circular rug has a radius of 10 feet. What is the area of the rug? Use 3.14 for π.

Enter your answer

Answers

Answer:

A=314 feet

Step-by-step explanation:

\(A=\pi r^{2}\)

\(A=3.14*10^{2}\)

\(A=3.14*100\)

\(A=314 feet\)

In mapping diagram D, what is the range?

Answers

The range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

What is the range of a Relation?

If we are given a mapping that represents a relation, the input values (x-values) make up the domain of the relation while the output values (y-values) make up the range of the relation.

In the mapping shown in the diagram attached below, we have the following:

The domain of the relation is: {-1, 0, 1, 2, 3}

The range of the relation is: {3, 5, 11, 21}

Thus, we can conclude that, the range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

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In mapping diagram D, what is the range?

Translate the sentence into an inequality.
The sum of a number times 7 and 29 is at most 16.
Use the variable c for the unknown number.

Answers

Answer:

\(7c+29\leq 16\)

Step-by-step explanation:

The inequality will be written as 7c + 29 ≤ 16.

What is inequality?

inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given information translate the sentence into an inequality. The sum of a number times 7 and 29 is at most 16. The inequality in the mathematical form will be written as below:-

The sum of a number times 7 and 29 is at most 16.

7c + 29 ≤ 16.

Therefore, the inequality will be written as 7c + 29 ≤ 16.

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10 POINTS HELP ASAP!!!

10 POINTS HELP ASAP!!!

Answers

Answer:

I think it is -7

Step-by-step explanation:

need help with this question , pls help

need help with this question , pls help

Answers

Answer:

A = 80g B = 200g

Step-by-step explanation for A:

First, you would find what the serving size is divided by to get the number of people needed to feed 6/3 = 2. Then take that number (3) and divided it by the fish (240g) to get 240/3 = 80.

Step-by-step explanation for B:

You will first need to find how much butter goes into ONE pie by dividing 80 by 6 which is 1.33333333333333. Then do 1.333333333333333 times the number of people to feed (15) to get 200.

find the zeros of the following function. State the multiplicity of multiple zeros.
y=(x+1) 2(x-1)(x-2)

Answers

Answer:

Zeros: -1, 1, 2

Step-by-step explanation:

Hi there!

\(y=(x+1)^2(x-1)(x-2)\)

The zero-product property states that if two terms, when multiplied, equals 0, one of the terms must be equal to 0.

Therefore, we know that either (x+1), (x-1) or (x-2) is equal to 0:

x+1 = 0

x-1 = 0

x-2 = 0

Now, to solve for the zeros of the function, we can just solve for x:

x+1 = 0 ⇒ x = -1

x-1 = 0 ⇒ x = 1

x-2 = 0 ⇒ x = 2

Notice how for the function, (x+1) is raised to a power of 2. This means that the zero -1 has a multiplicity of 2.

The other zeroes, 1 and 2, have multiplicities of 1.

I hope this helps!

Identify the Type II error if the null hypothesis, H0, is: Anna believes the capacity of her car's gas tank is 10 gallons.
Select the correct answer below:
Anna cannot conclude that the capacity of her car's gas tank is 10 gallons when, in fact, it is.
Anna believes there is insufficient evidence to conclude that the capacity of her car's gas tank is not 10 gallons when, in fact, it is.
Anna cannot conclude that the capacity of her car's gas tank is 10 gallons when, in fact, it is not.
Anna believes there is insufficient evidence to conclude that the capacity of her car's gas tank is not 10 gallons when, in fact, it is not 10 gallons.

Answers

Anna believes there is insufficient evidence to conclude that the capacity of her car's gas tank is not 10 gallons when, in fact, it is not 10 gallons. This is an example of a Type II error.

A Type II error occurs when Anna believes there is insufficient evidence to conclude that the capacity of her car's gas tank is not 10 gallons when, in fact, it is not 10 gallons.

A Type II error occurs when the null hypothesis is not rejected even though it is false (i.e., the alternative hypothesis is true). In this case, the null hypothesis is that Anna believes the capacity of her car's gas tank is 10 gallons. Therefore, a Type II error would occur if Anna believes there is insufficient evidence to conclude that the capacity of her car's gas tank is not 10 gallons when, in fact, it is not 10 gallons. In other words, Anna fails to reject the null hypothesis (that the capacity is 10 gallons) when it is actually false (the capacity is not 10 gallons).

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Suppose that y varies jointly with w and x and inversely with z and y = 150 when w = 5, x = 15 and z = 3. Write the equation that models the relationship. Then find y when w = 3, x = 2 and z = 2.

Answers

sorry for bad handwriting :)

Suppose that y varies jointly with w and x and inversely with z and y = 150 when w = 5, x = 15 and z

2x^2+3x+4=0

Solve using quadratic formula

Answers

Answer:

x= -3 ± i √23 /4

Step-by-step explanation:

Solve the equation for x by finding A,B and C of the quadratic then applying the quadratic formula.

−2(−x+4) − 3x+2= −5 what is x?

Answers

Answer:

−2(−x+4) − 3x+2= −5 what is x? Well i might be wrong but i think its 2x

Step-by-step explanation:

PEMDAS USE THAT METHOD

Answer: x=-1

Step-by-step explanation:

help please!! where do the points go?

help please!! where do the points go?

Answers

Answer:

See below.

Step-by-step explanation:

You can graph by finding ordered pairs for each function.

help please!! where do the points go?

The length of a rectangle is 10 m more than its width if the perimeter of a rectangle is 80 m find the dimensions of the rectangle.(perimeter is just adding up all the sides)

Answers

Answer:

width= 15

length=25

Step-by-step explanation:

width= x

length= 10+x

2(10+x+x)= 80

2(10+2x)= 80

20+4x= 80

4x=60

x= 15

width= x= 15

length= 10 +x= 10+15= 25

The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number,and let y be the lesser number

Answers

Answer:

x = 40y = 22

Step-by-step explanation:

We know that:

x - y = 18x + y = 62

Work:

x - y = 18

       x + y = 62

=> (x + x) + (y - y) = (18 + 62)=> 2x + 0 = 80=> 2x = 80=> x = 40

To find y, let's use any equation in the "we know that" section.

=> 40 - y = 18=> 40 - 18 = y=> 22 = y

Now, let's check our work by using the second equation.

Check:

x + y = 62=> 40 + 22 = 62=> 62 = 62 (Proved correct)

Hoped this helped.

\(BrainiacUser1357\)

let p(a) = 0.6, p(b) = 0.3, and p(a∪b)c = 0.1. calculate p(a∩b).

Answers

The probability of the intersection of events a and b, p(a∩b), is 0.8.

To calculate the probability of the intersection of two events, p(a∩b), we can use the formula:

p(a∩b) = p(a) + p(b) - p(a∪b),

where p(a) is the probability of event a, p(b) is the probability of event b, and p(a∪b) is the probability of the union of events a and b.

Given that p(a) = 0.6, p(b) = 0.3, and p(a∪b)c = 0.1, we can substitute these values into the formula:

p(a∩b) = 0.6 + 0.3 - 0.1.

Simplifying the expression, we get:

p(a∩b) = 0.8.

Therefore, the probability of the intersection of events a and b, p(a∩b), is 0.8.

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Δ STV has vertices S(-3,-2), T(-4,3) and V(-2,3). If (x,y) → (x+2,y-3), what are the vertices of it's image?

Answers

Hi, I believe the answer you are looking for is:

S' (-1, -5)

T' (-2, 0)

V' (0, 0)

Have a great day :D

solve the inequality 3x+3>48

Answers

Explanation:Given the Inequality.

\(3x + 3 > 48\)

Solving the Inequality is similar to solving the equation. We simply make x-term as the subject since we are solving for x.

\(3x > 48 - 3 \\ 3x > 45 \\ x > \frac{45}{3} \Longrightarrow x > \frac{ \cancel{45}}{ \cancel{3}} \Longrightarrow x > \frac{15}{1} \\ x > 15\)

Answer Check

Because x must be greater than 15. We will substitute x = 16 in the Inequality.

\(3(16) + 3 > 48 \\ 48 + 3 > 48 \\ 51 > 48 \: \: \checkmark\)

The Inequality is true when x > 15.

Answer

\( \large \boxed{x > 15}\)

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