the 3rd and 6th term in fibonacci sequence are 7 and 31 respectively find the 1st and 2nd terms of the sequence

Answers

Answer 1

Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?


Related Questions

Simplify 6^2/6 x 6^12/6^8

Answers

Step-by-step explanation:

6^2 / 6^1   x    6^12 / 6^8   =

6^(2-1)      x    6^(12-8)   =

6^1          x    6^4   =

6^(1+4)  =   6^5     or  = 7776

If f(x)={x+4 if x≤−2
-x if x>−2,
what is f(−4)?

A. -2
B. 4
C. -4
D. 0

Answers

Since -4 is less than or equal to -2, we use the first part of the definition of f(x) which is f(x) = x + 4 if x ≤ -2. Therefore,

f(-4) = (-4) + 4 = 0.

So, the answer is D. 0.

How long did Lizzie practice on Thursday and Friday altogether?
J
P
D
Lizzie's Drum Practice
P
S
P
D
P
S
S
Monday Tuesday Wednesday Thursday Friday
= 5 minutes
DONE
0
minutes
7 8
4
00
5
1 2
0
9
6
3

Answers

Answer:

Lizzie practiced for a total of 14 minutes on Thursday and Friday combined.

On Thursday, she practiced for 5 minutes according to the table.

On Friday, she practiced for 9 minutes according to the table.

Adding these two times together, we get:

5 minutes + 9 minutes = 14 minutes

Therefore, Lizzie practiced for a total of 14 minutes on Thursday and Friday combined.

Julia drew s sketches of flowers. She split them evenly among her 3 pen pals. Write an expression that shows how many sketches each pen pal received.

Answers

Answer:

s/3

Step-by-step explanation:

since she drew s drawings and split them among 3 penpals, it would be s/3, for example, 6 drawings/ 3 would be 2 drawings for each person.

k^2+6k=0 solve the quadratic equation by factoring

Answers

Answer:

K = √-6k

i did the math and got this answer and it was right

A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 176 feet of fencing,
what is the largest area the farmer can enclose?

Answers

Answer: 46 ft by 92 ft

Step-by-step explanation:

The largest area is enclosed when half the fence is used parallel to the wall and the other half is used for the two ends of the fenced area perpendicular to the wall. Half the fence is 184 ft/2 = 92 ft. Half that is used for each end of the enclosure.

LOOK AT THE PHOTO PLS

Answers

The next entry on the long division would be 0.054, and 0.0054

How to perform long division

Long division is a method of dividing two numbers using a step-by-step process. Here's how to perform long division:

Step 1: Write the dividend (the number being divided) and the divisor (the number you're dividing by) in the long division format, with the dividend inside the division symbol and the divisor outside.

Read more on long division here:https://brainly.com/question/25289437

#SPJ1

A Bakery sold 382 cakes in one week. this was twice as the day so the previous week. write an equation that can be used to find the number of cakes and that were sold the previous week 

Answers

Answer:

164 Cakes

Step-by-step explanation:

382 Cakes are made in Week A. This was twice the amount of Week B. 328 divided by two equals 164.

Helppppppppppppppppppppp

Answers

To find the set fee for the house, we need to determine the y-intercept of the linear relationship between t and C.

Using the table given, we can find two points on the line: (0, C) and (t, C). The point (0, C) represents the y-intercept, which is the set fee for the house.

Looking at the data, we can see that when t=0 (i.e., no time spent at the house), the cost C is the set fee. So we can choose any C value where t=0 to get the set fee. From the data given, we see that when t=2.5, C=195.

Therefore, the set fee for the house is $195.

Please help with this math question!

Answers

The exponential function of the population is P(x) = 15000 * 1.046^x

Calculating the exponential function of the population

From the question, we have the following parameters that can be used in our computation:

Initial, a = 15000

Rate, r = 4.6%

The equation of the function is represented as

P(x) = a * (1 + r)^x

Substitute the known values in the above equation, so, we have the following representation

P(x) = 15000 * (1 + 4.6%)^x

Evaluate

P(x) = 15000 * 1.046^x

Hence, the function is P(x) = 15000 * 1.046^x

Read more about exponential function at

https://brainly.com/question/2456547

#SPJ1

Will mark brainliest if answer is correct

Answers

Using factorization and simplifying the equations, the points of intersections are (-2, 0), ( [ -1 - 3√(7) ] / 2, 4[ -1 - 3√(7) ] / 2 - 11 ) and ( [ -1 + 3√(7) ] / 2, 4[ -1 + 3√(7) ] / 2 - 11 )

What is the points of intersection of both functions

We are given two equations:

y = 4x² - 3x + 3

y = x³ + 7x² - 3x + d

and we know that they intersect at x = -4, so we can substitute -4 for x in both equations:

y = 4(-4)² - 3(-4) + 3 = 49

y = (-4)³ + 7(-4)² - 3(-4) + d = -64 + 112 + 12 + d = 60 + d

So, at x = -4, we have y = 49 and y = 60 + d. Since the graphs intersect, these two equations must be equal:

49 = 60 + d

Solving for d, we get:

d = -11

Therefore, the two equations become:

y = 4x² - 3x + 3

y = x³ + 7x² - 3x - 11

We can now set them equal to each other:

4x² - 3x + 3 = x³ + 7x² - 3x - 11

Simplifying and rearranging, we get:

x³ + 3x² - 8x - 14 = 0

We can try to factor this expression by testing possible roots. One possible root is x = 2, because if we substitute 2 for x, we get:

2³ + 3(2)² - 8(2) - 14 = 8 + 12 - 16 - 14 = -10

Since this expression evaluates to a non-zero value, x = 2 is not a root. Similarly, we can test x = -1:

(-1)³ + 3(-1)² - 8(-1) - 14 = -1 + 3 + 8 - 14 = -4

This expression also evaluates to a non-zero value, so x = -1 is not a root. Finally, we can test x = -2:

(-2)³ + 3(-2)² - 8(-2) - 14 = -8 + 12 + 16 - 14 = 6

This expression evaluates to zero, so x = -2 is a root. Using long division or synthetic division, we can divide the cubic polynomial by x + 2 to get:

x³ + 3x² - 8x - 14 = (x + 2)(x² + x - 7)

The quadratic factor x² + x - 7 can be factored using the quadratic formula, giving us:

x² + x - 7 = [ -1 ± √(1 + 4*7) ] / 2

= [ -1 ± 3√(7) ] / 2

Therefore, the three intersection points are:

(-2, 0)

( [ -1 - 3√(7) ] / 2, 4[ -1 - 3√(7) ] / 2 - 11 )

( [ -1 + 3√(7) ] / 2, 4[ -1 + 3√(7) ] / 2 - 11 )

Learn more on point of intersection here;

https://brainly.com/question/11337174

#SPJ1

Home values in a town have declined 26% per year for each of the past
four years. What was the total percentage decrease in home values
during the four-year period?

Answers

Answer: 104%

Step-by-step explanation: 26% times 4 years

the area of Rectangle is 112 in sq. if the height is 8 in, what is the base length

Answers

Answer:

14cm

Step-by-step explanation:

112÷8=14

base length=14cm

Answer:

To find the base length of a rectangle, given its area and height, you can use the formula for calculating the area of a rectangle, which is:

Area = Length x Width

In this case, you are given that the area is 112 square inches and the height is 8 inches. Let's denote the base length as "x" inches.

So, the equation for the area of the rectangle becomes:

112 = x * 8

To solve for "x", you can divide both sides of the equation by 8:

112 / 8 = x

x = 14

Therefore, the base length of the rectangle is 14 inches.

14. The local credit union is offering a special student checking account. The monthly cost of the account is $15. The first 10 checks are free, and each additional check costs $0.75. You search
the Internet and find a bank that offers a student checking account with no monthly charge. The first 10 checks are free, but each additional check costs $2.50.

a. Assume that you will be writing more than 10 checks a month. Let n represent the number of checks written in a month. Write a function rule for the cost c of each account in terms of n.

b. Write an inequality to determine what number of checks in the bank account would be more expensive than the credit union account.

c. Solve the inequality in part b.

Answers

Answer: a.     c(n) = 15 + 0.75(n - 10)

b.   15 + 0.75(n - 10) = 2.50(n - 10)=

Simplifying and solving for n, we get:

n = 50

c.  n > 50

Step-by-step explanation:

a. The cost c of the credit union account in terms of the number of checks written n can be expressed as:

c(n) = 15 + 0.75(n - 10)

The first term, 15, represents the monthly cost of the account, and the second term represents the additional cost per check beyond the first 10 free checks.

The cost c of the bank account in terms of the number of checks written n can be expressed as:

c(n) = 2.50(n - 10)

The first term, 0, represents the monthly cost of the account, and the second term represents the additional cost per check beyond the first 10 free checks.

b. We want to find the number of checks for which the bank account is more expensive than the credit union account. Let x be the number of checks that makes the cost of the two accounts equal. Then we have:

15 + 0.75(n - 10) = 2.50(n - 10)

Simplifying and solving for n, we get:

n = 50

So if the number of checks written in a month is greater than 50, the bank account will be more expensive than the credit union account.

c. The solution to the inequality is:

n > 50

This means that the number of checks written in a month must be greater than 50 for the bank account to be more expensive than the credit union account.

Find a formula for the exponential function passing through the points
(-3, 5/8 ) and (3, 40).

Answers

The exponential function is y=5.[tex]2^x[/tex].

What is exponential function?

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth.

Here the exponential function is [tex]y=ab^x[/tex]

Since (-3,5/8) is on the graph, -[tex]\frac{5}{8}[/tex]=[tex]ab^{-3}[/tex] -----> 1

Since (3, 40) is on the graph, 40=[tex]ab^3[/tex] ------> 2

So, [tex]\frac{ab^3}{ab^{-3}}=\frac{40}{\frac{-5}{8}}[/tex]

=> [tex]b^{3+3}=8\times8[/tex]

=> [tex]b^6=2^6[/tex]

=> b = 2

put b=2 into 2 then,

=> 40= [tex]a\times2^3[/tex]

=> 8a=40

=> a =5

Then the exponential function is y=5.[tex]2^x[/tex].

To learn more about exponential function refer the below link

https://brainly.com/question/2456547

#SPJ1

2. center (5, -6), radius 4

Answers

Answer:

(x - 5)² + (y + 6)² = 16

Step-by-step explanation:

assuming you require the equation of the circle

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (5, - 6 ) and r = 4 , then

(x - 5)² + (y - (- 6) )² = 4² , that is

(x - 5)² + (y + 6)² = 16

0\left\{-10\le x\le10\right\}
Describe the transformations (vertical translation, horizontal translation, and dilation/reflection) from the parent function that happened to these formulas

Answers

The formula g(x) = 2 * 0{-10≤x+3≤10} represents a function that has been horizontally shifted left by 3 units, reflected about the y-axis, and vertically scaled by a factor of 2.

What is Function?

A function is a mathematical rule that assigns each input from a set (domain) a unique output from another set (range), typically written as y = f(x).

The notation "0{-10≤x≤10}" typically represents the domain of a function or an inequality. It means that the function is defined only for the values of x that are between -10 and 10 (including -10 and 10).

Assuming that the function in question is a constant function equal to zero, the parent function is f(x) = 0.

To describe the transformations that happened to this function, we need more information about the specific formula. For example, if the formula is:

g(x) = 0{-10≤x≤10}

Then there are no transformations from the parent function. The function is simply a constant function that is equal to zero over the interval [-10, 10].

However, if the formula is something like:

g(x) = 2 * 0{-10≤x+3≤10}

Then we can describe the transformations as follows:

Horizontal translation: The function has been shifted horizontally to the left by 3 units. This means that the point (3, 0) on the parent function is now located at the origin (0, 0) on the transformed function.

Dilation/reflection: The function has been reflected about the y-axis and vertically scaled by a factor of 2. This means that the point (-1, 0) on the parent function is now located at (-4, 0) on the transformed function, and the point (1, 0) on the parent function is now located at (2, 0) on the transformed function.

Vertical translation: There is no vertical translation in this case, since the constant function is already centered at y = 0.

To summarize, the formula g(x) = 2 * 0{-10≤x+3≤10} represents a function that has been horizontally shifted left by 3 units, reflected about the y-axis, and vertically scaled by a factor of 2.

To know more about Function visit :

https://brainly.com/question/12431044

#SPJ1

The formula g(x) = 2 * 0{-10≤x+3≤10} represents a function that has been horizontally shifted left by 3 units, reflected about the y-axis, and vertically scaled by a factor of 2.

What is Function?

A function is a mathematical rule that assigns each input from a set (domain) a unique output from another set (range), typically written as y = f(x).

The notation "0{-10≤x≤10}" typically represents the domain of a function or an inequality. It means that the function is defined only for the values of x that are between -10 and 10 (including -10 and 10).

Assuming that the function in question is a constant function equal to zero, the parent function is f(x) = 0.

To describe the transformations that happened to this function, we need more information about the specific formula. For example, if the formula is:

g(x) = 0{-10≤x≤10}

Then there are no transformations from the parent function. The function is simply a constant function that is equal to zero over the interval [-10, 10].

However, if the formula is something like:

g(x) = 2 * 0{-10≤x+3≤10}

Then we can describe the transformations as follows:

Horizontal translation: The function has been shifted horizontally to the left by 3 units. This means that the point (3, 0) on the parent function is now located at the origin (0, 0) on the transformed function.

Dilation/reflection: The function has been reflected about the y-axis and vertically scaled by a factor of 2. This means that the point (-1, 0) on the parent function is now located at (-4, 0) on the transformed function, and the point (1, 0) on the parent function is now located at (2, 0) on the transformed function.

Vertical translation: There is no vertical translation in this case, since the constant function is already centered at y = 0.

To summarize, the formula g(x) = 2 * 0{-10≤x+3≤10} represents a function that has been horizontally shifted left by 3 units, reflected about the y-axis, and vertically scaled by a factor of 2.

To know more about Function visit :

brainly.com/question/12431044

#SPJ1

8. You and 4 friends are going to an event, and you want to keep the cost below $100 per person. Write and solve an inequality to find the total cost, x.

Answers

The answer is on the image shown :

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

The true statements are:

1. The radius of the circle is 3 units

2. The standard form of the equation is (x-1)^2+y^2=3

3. The center of the circle lies on X-axis

4. The radius of this circle is the same as the radius of the circle whose equation is x^2+y^2=9

The given equation is: x^2+y^2-2x-8=0

The equation in the standard form of the circle can be written as (x-h)^2+(y-k)^2=r^2, where h= center of the circle and r= radius of the circle

The given equation in standard form can be written as

(x^2-2x+1)+y^2-9=0

(x-1)^2+y^2=3^2

Hence from the above equation, the center of the circle is at (1,0) and the radius is 3 units.

To learn more about problems on the equation of a circle refer to:

https://brainly.com/question/23799314?referrer=searchResults

Four family members attended a
family reunion. The table below
shows the distance each person
drove and the amount of time each
person traveled.

Answers

If each person drove at a constant rate,than Laura drove the fastest

What is the distance ?

Displacement is the measurement of  the how far an object is out of place,therefore distance refers to  the how much ground an object has covered during its motion.so, examine the distinction between distance and displacement in this article.

What is the speed?

The means of Speed is :he speed at which an object of location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. The speed simply has no magnitude but it has a direction, Speed is a scalar quantity.

to compute who drove the quickest by Using this   formula

speed=Distance /time,

first of all the convert times into hours:

Hank: 3.2 hours x 3 hours and 12 minutes.

Laura: 2.5 hours is 2 hours and 30 minutes.

Nathan: 2.25 hours is 2 hours and 15 minutes.

Raquel: 4 hours plus 24 minutes equals 4.4 hours.

now to calculate the speed by above formula

Hank: 55 miles per hour for 176 miles in 3.2 hours.

Laura: 60 miles per hour equals 150 miles in 2.5 hours.

Nathan: 50 miles per houris equal to 112.5 miles in 2.25 hours.

Raquel: 65 miles for 286 miles in 4.4 hours.

As a result, Laura moved the fastest, clocking in at 60 miles. The solution, Laura, is B.

Learn more about speed here:

https://brainly.com/question/31273613

#SPJ1

Find the volume of this sphere.
Use 3 for TT.
-d=6in
V ≈ [?] in ³
V = πr³
Enter

Answers

If the volume formula is from the question it would 3*(6/2)^3 =27 because the radius is diameter divided by 2 but if it’s the formula I know which 4/3 pie (r)^3 it would be 4/3(3)(3)^3 =36

Answer: Spheres aren’t three-dimensional—they are two-dimensional. This is evident from the fact that in order to specify a point on a sphere, you only need two pieces of information, such as latitude and longitude.

If you include the interior of the sphere, this is instead called a closed ball, and that is three-dimensional. You can specify a point in the closed ball in all sorts of different ways; one of the most convenient would be latitude, longitude, and distance from the center. However, other than convenience, there is no reason to prefer one coordinate system over any other.

(This fact has nothing to do with spheres or closed balls—that is just a statement that is generally true. People who insist that “the three dimensions” are length, width, and height don’t know what they are talking about.)

Step-by-step explanation:

Write an equation for the polynomial graphed below

Answers

The polynomial in factor form is y(x) = - (1 / 6) · (x + 3) · (x + 1) · (x - 2) · (x - 3).

How to derive the equation of the polynomial

In this problem we find a representation of polynomial set on Cartesian plane, whose expression is described by the following formula in factor form:

y(x) = a · (x - r₁) · (x - r₂) · (x - r₃) · (x - r₄)

Where:

x - Independent variable.r₁, r₂, r₃, r₄ - Roots of the polynomial.a - Lead coefficient.y(x) - Dependent variable.

Then, by direct inspection we get the following information:

y(0) = - 3, r₁ = - 3, r₂ = - 1, r₃ = 2, r₄ = 3

First, determine the lead coefficient:

- 3 = a · (0 + 3) · (0 + 1) · (0 - 2) · (0 - 3)

- 3 = a · 3 · 1 · (- 2) · (- 3)

- 3 = 18 · a  

a = - 1 / 6

Second, write the complete expression:

y(x) = - (1 / 6) · (x + 3) · (x + 1) · (x - 2) · (x - 3)

To learn more on polynomials: https://brainly.com/question/29260355

#SPJ1

Is each number rounded correctly to the nearest hundred thousand?

Answers

yes is answer   for all option   .we can check it by rules of rounding off numbers .

what is rounding ?

Rounding is the process of approximating a number to a nearby value that is easier to work with or more appropriate for a given context. When rounding, we take a number with many decimal places or significant figures and adjust it to a simpler or more convenient value with fewer decimal places or significant figures.

In the given question,

Yes, each number is rounded correctly to the nearest hundred thousand based on the rules of rounding.

To round to the nearest hundred thousand, we look at the digit in the hundred thousand place and the digit to its right (i.e., in the ten thousand place).

If the digit in the ten thousand place is 5 or greater, we round up the digit in the hundred thousand place by adding 1.

If the digit in the ten thousand place is less than 5, we leave the digit in the hundred thousand place as it is.

Using these rules, we can see that:

350000 rounded to the nearest hundred thousand is 400000 because the digit in the ten thousand place is 5, so we round up the digit in the hundred thousand place.

555555 rounded to the nearest hundred thousand is 560000 because the digit in the ten thousand place is 5, so we round up the digit in the hundred thousand place.

137998 rounded to the nearest hundred thousand is 200000 because the digit in the ten thousand place is 7, so we round up the digit in the hundred thousand place.

792314 rounded to the nearest hundred thousand is 800000 because the digit in the ten thousand place is 3, so we leave the digit in the hundred thousand place as it is.

To know more about rounding , visit:

https://brainly.com/question/29878750

#SPJ1

$2000 are invested in a bank account at an interest rate of 5 percent per year.

Find the amount in the bank after 7 years if interest is compounded annually.

Find the amount in the bank after 7 years if interest is compounded quaterly.

Find the amount in the bank after 7 years if interest is compounded monthly.

Finally, find the amount in the bank after 7 years if interest is compounded continuously.

Answers

The amount in the bank after 7 years increases as the compounding frequency increases, and it is highest when interest is compounded continuously.

Simple interest calculation.

Using the formula A = P(1 + r/n)^(nt), where:

A = the amount in the account after t years

P = the principal (initial amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

a) If interest is compounded annually:

A = 2000(1 + 0.05/1)^(1*7) = $2,835.08

b) If interest is compounded quarterly:

A = 2000(1 + 0.05/4)^(4*7) = $2,888.95

c) If interest is compounded monthly:

A = 2000(1 + 0.05/12)^(12*7) = $2,905.03

d) If interest is compounded continuously:

A = Pe^(rt) = 2000e^(0.05*7) = $2,938.36

Therefore, the amount in the bank after 7 years increases as the compounding frequency increases, and it is highest when interest is compounded continuously.

Learn more about simple interest below.

https://brainly.com/question/25793394

#SPJ1

Write the absolute value equation that has the following solutions.
One solution: x = 15

Answers

The absolute value equation is:

|x - 15| = 0

How to write the absolute value equation?

We want an absolute value equation that only has the solution x = 15.

So we must have something equal to zero (so we avoid the problem with the signs that we can have with other numbers)

So the equation will be something like:

|x - a| = 0

And the solution is 15, so:

|15 - a | = 0

then a = 15

The equation is:

|x - 15| = 0

Learn more about absolute value:

https://brainly.com/question/1782403

#SPJ1

Explain Why 387 is not a term of the sequence

Answers

Answer:

In order to determine whether 387 is a term of a sequence, we need to know the rule or formula for generating the sequence. Without this information, it is not possible to determine whether 387 is a term of the sequence or not.

If we assume that the sequence is an arithmetic sequence, where each term is obtained by adding a fixed constant to the previous term, we can use the following formula to determine whether 387 is a term of the sequence:

an = a1 + (n-1)d

where a1 is the first term of the sequence, d is the common difference between consecutive terms, and n is the term we are trying to find.

If we substitute the values for the first few terms of the sequence, we can check whether 387 is a term or not. For example, if the first few terms of the sequence are:

a1 = 3

a2 = 8

a3 = 13

a4 = 18

and so on, with a common difference of 5 between consecutive terms, we can use the formula to find the value of the 129th term of the sequence:

a129 = a1 + (129-1)d

a129 = 3 + 128(5)

a129 = 643

Since 387 is not equal to 643, it is not a term of this sequence. However, without knowing the rule or formula for generating the sequence, it is impossible to say for certain whether 387 is a term or not.

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving AC > EF, given BC = EF. Upload the entire proof below.

Given:

BC = EF

Prove:

AC > EF



STATMENT REASON
1. 1.
2. 2. Betweenness
3. AC > BC 3.
4. 4.

Answers

The given information and the transitive property of inequalities, we can prove that [tex]AC[/tex] is greater than [tex]EF[/tex] .

What is the transitive property of inequalities?

Statement Reason

[tex]BC = EF[/tex] Given

Betweenness Given

[tex]AC > BC[/tex] Given

[tex]AC > EF[/tex] Transitive property [tex](3, 1)[/tex]

Explanation:

[tex]BC = EF[/tex] Given: Given statement that BC is equal to EF.

Betweenness Given: Given statement that states the concept of betweenness, where BC is between AC and EF.

AC > BC Given: Given statement that  [tex]AC[/tex] is greater than BC.

[tex]AC > EF[/tex] Transitive property: Using the transitive property, we can conclude that  [tex]AC[/tex] is greater than EF (based on statement 3 and 1).

Therefore, using the given information and the transitive property of inequalities, we can prove that AC is greater than [tex]EF[/tex]  .

Learn more about transitive here:

https://brainly.com/question/2437149

#SPJ1

Melissa collected the data in the table.


When x = 4, what is the residual?

–3
–1
1
3

Answers

From the data in the table, we can conclude that when x = 4, then the residual will equal -1.

How to determine the residual

To determine the residual, we can begin by obtaining the difference between the given and the predicted values of y.

So, Residual = Gven value - Predicted value.

When x = 4 in the table, Given value is 9 and predicted value is 10. So, 9 - 10 = -1. So, we can say that the residual value is -1.

Learn more about residual values here:

https://brainly.com/question/30243740

#SPJ1

Answer:

The residual is the difference between the actual y-value and the predicted y-value on a regression line. Since no table or equation is provided, we cannot calculate the exact residual. However, I can explain the concept to you.

Step-by-step explanation:

In general, to calculate the residual, we would need a regression equation or a line of best fit. This equation allows us to predict the y-values for different x-values. Then, we can compare the predicted values to the actual values given in the table to find the residuals.

If you have the regression equation or the line of best fit, I can help you calculate the residual for a specific x-value.

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 44 loaves of bread at the same prices, for a total of $10. How much does a liter of milk cost, and how much does a loaf of bread cost?

Answers

The cost of a liter of milk is $2.50 and the cost of a loaf of bread is $2.50.

What is cost?

Cost is the value of goods or services measured in money or other forms of exchange. It is the amount that must be given up in exchange for something else. Costs are typically incurred in the production of goods and services, and can include both tangible and intangible elements, such as labor, materials, overhead, and financing.

The total cost for 3 liters of milk and 5 loaves of bread was $11. Therefore, the cost for 1 liter of milk was ($11 / 3) = $3.67. The cost for 1 loaf of bread was ($11 / 5)
= $2.20.
The total cost for 4 liters of milk and 4 loaves of bread was $10. Therefore, the cost for 1 liter of milk was ($10 / 4) = $2.50. The cost for 1 loaf of bread was ($10 / 4)
= $2.50.
Therefore, the cost of a liter of milk is $2.50 and the cost of a loaf of bread is $2.50.

To learn more about cost
https://brainly.com/question/2292799
#SPJ1

A four-sided shape with the top side labeled as 10.2 cm. The height is labeled 5 cm. A portion of the base from the perpendicular to a vertex is labeled 4 cm. The portion of the base from the perpendicular to the right vertex is 6.2 cm.

What is the area of the figure?

25.5 cm2
45.5 cm2
51 cm2
56.1 cm2

Answers

The area of the figure is 51 cm², which is option C.

What is area?

In mathematics, area refers to the measure of the size of a two-dimensional surface or shape. It is typically expressed in square units, such as square meters (m²) or square centimeters (cm²), and can be calculated for a variety of geometric shapes, including squares, rectangles, triangles, circles, and more complex shapes such as trapezoids or polygons.

To find the area of the figure, we need to identify the shape of the figure. From the given information, we know that the figure has a top side, a height, and a base. We are also told that the base is divided into two parts by a perpendicular, and one of the parts is labeled as 4 cm, while the other part from the perpendicular to the right vertex is 6.2 cm.

Based on this information, we can draw the figure as a trapezoid, where the top side is the shorter base, the height is the vertical distance between the two bases, and the longer base is the sum of the two parts of the base.

Using the given information, we can calculate the longer base:

longer base = 4 cm + 6.2 cm = 10.2 cm

Now we can use the formula for the area of a trapezoid to find the area of the figure:

A = (1/2)h(b₁ + b₂)

where h is the height, b₁ is the shorter base, and b₂ is the longer base.

Plugging in the given values, we get:

A = (1/2)(5 cm)(10.2 cm + 10.2 cm) = 51 cm²

Therefore, the area of the figure is 51 cm² , which is option C.

To know more about area visit:

https://brainly.com/question/25292087

#SPJ1

Complete Question:

A four-sided figure has one side labeled 10.2 cm, a height of 5 cm, and a portion of the base from the perpendicular to a vertex labeled 4 cm. The portion of the base from the perpendicular to the right vertex is labeled 6.2 cm. What is the area of the figure?

Other Questions
nielson motors is currently an all-equity financed firm. it expects to generate ebit of $20 million over the next year. currently nielson has 8 million shares outstanding and its stock is trading at $20.00 per share. nielson is considering changing its capital structure by borrowing $50 million at an interest rate of 8% and using the proceeds to repurchase shares. assume perfect capital markets. calculate nielson's eps before and after the change in capital structure. $2.90; $2.30 $2.50; $2.90 $2.00; $2.50 $2.30; $2.50 The risk-free rate is 3.50% and the market risk premium is 7.16%. A stock with a of 1.38 just paid a dividend of $2.31. The dividend is expected to grow at 22.01% for five years and then grow at 4.12% forever. What is the value of the stock? which type of packet would the sender receive if they sent a connection request to tcp port 25 on a server with the following command applied? sudo iptables -a output -p tcp --dport 25 -j reject the major reason class-action suits became more common after the 1960s was that a group of people who dance, sing, and comment on the actions of the play complex sentences secret pass phrase Please can you help my English homework the _____ is a credit card-sized device with an embedded microchip to provide electronic memory and processing capability. a property sold for $250,000. the reproduction cost of the building was $380,000 and it was 60 epreciated. by extraction, what is the value of the land? 4. if 1 drop of acid is equal to 50 microliter. calculate the concentration of h ion and the ph of the solution when 1 drop of 0.25 m hcl is added to 3 ml water. does that conform to your observation in part d. if not, why? which type of document addresses the specific concerns realted to access given to administrators and certain support staff? Deposits of 70 are placed into a fund at the end of each year for 10 years. The effective annual interest rate is 8%. Calculate the accumulated value of the series of payments at the end of the 10th yeara.1,014.06 b.770.69 c.932.93 d.1.095.18 e.1851.81 what is the correct from addressing infernal dialogues?Then I told myself, "what it can't make? " Phloem tissue consists of tube-shaped cells that have small holes at each end. What does this structure enable phloem tissue to do? OA. Trap any microorganisms that are invading the plant OB. Allow oxygen and carbon dioxide to enter and leave the plant OC. Act like sieves, letting only some materials pass through OD. Share genetic material among all the cells of the plant You open a retirement savings account where you deposit $300 per month in an account earning 8% interest (compounded monthly). You plan to retire in 30 years. How much will have in the account when you retire?A. $447,107B. $411,367C. $499,998D. $543,787E. $528,235 CASE STUDY AAcute PainL.Y. is a healthy 13-year-old who had all her wisdom teeth removed 6 hours ago and is experiencing significant pain. She has been prescribed acetaminophen and codeine for pain relief and is at home recovering. Her mother wants her to rest and stop text- messaging her friends about her dental surgery.1. How do acetaminophen and codeine act to reduce pain? What is a side effect of high levels of each drug? Why has the dentist prescribed only a limited supply of the medication?2. How does L.Y.'s text-messaging behavior affect her perception of pain?3. Does L.Y. need to rest in bed quietly to reduce pain? 4. L.Y. becomes increasingly irritated with her mother and tells her to "get off my case." How does L.Y.'s stress affect pain perception? Real estate investors: a. may be active or passive investors, depending upon whether they take an equity or a debt positionb. always depend upon income tax benefits to make the investment successful. c. are required to exercise stand-by loan commitments. d. either directly or indirectly, purchase rights to a stream of future cash flows. To support your claim and present a strong argument, you should always include evidence diagnoses pathos scenarios according to the leadership grid, a manager who exhibits impoverished management . a. is an effective leader with much concern for people b. has a lot of concern for people and for work performance c. has little concern for people or for work performance d. has little concern for people, but a lot of concern for work performance e. has a lot of concern for people, but little concern for work performance consider the picture above of mars's orbit around the sun. which spot shows where mars will be when we see it in retrograde motion on earth?