Calculate S16 for the arithmetic sequence defined by (an) = {5/8-5/16n}
65/
2
65/
8
-65/
8
-65/
2

Answers

Answer 1

The sum of the first 16 terms of the defined arithmetic sequence is given as follows:

-520/16.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, being called common difference d.

The nth term of an arithmetic sequence is given by the equation presented as follows, called general equation:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term of the arithmetic sequence.

The sum of the first n terms is given by the equation presented as follows:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

The sequence in this problem is defined as follows:

[tex]a_n = \frac{5}{8} - \frac{5}{16}n[/tex]

The first term is of:

[tex]a_1 = \frac{5}{8} - \frac{5}{16} = \frac{5}{16}[/tex]

Hence the 16th term of the sequence is of:

[tex]a_{16} = \frac{5}{8} - \frac{5}{16}(16) = \frac{5}{8} - 5 = -\frac{35}{8}[/tex]

Hence the sum of the first 16 terms of the arithmetic sequence is defined as follows:

[tex]S_{16} = 8\left(\frac{5}{16} - \frac{35}{8}\right) = 8 \times \left(-\frac{65}{16}\right) = -\frac{520}{16}[/tex]

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Related Questions

Kelly grows potatoes.

She has 2500 kg of potatoes, correct to the nearest 10kg.

Kelly is going to put the potatoes into sacks.

Each sack will contain 12. 5 kg of potatoes.

Kelly assumes that 12. 5 kg is measured correct to the nearest 0. 1 kg.

(a) Does Kelly definitely have enough potatoes to fill 200 sacks?

You must show how you get your answer

Answers

Kelly fill 200 sacks with the weight of 2000 kg potatoes and in each sack, she can fill up to 12.5 kg of potatoes.

What is weight?

The gravitational attraction of an item near the Earth or another celestial body toward the center of the body. The weight of an item is determined by its mass and the strength of the gravitational force. We use the following generic formula to compute weight: W = mg. Where 'W' is the object's weight,'m' is the object's mass, and 'g' is the acceleration due to gravity. The value of g on Earth is 9.8 m/s2. The most frequent definition of weight is the force imposed by gravity on a body.

Here,

weight of potatoes she has=2500 kg

weight of each sack that contain the potatoes=12.5 kg

with this, she can fill,

=2500/12.5

=200 sacks

Kelly fills 200 sacks with 2000 kg of potatoes, and each sack can hold up to 12.5 kg of potatoes.

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need help on this !!!!!!!!!!!

Answers

Using the Triangle Inequality Theorem we can state that the range of z is 4 < z < 20.

What is the Triangle Inequality Theorem?

The above theorem states that The length of any two sides of a triangle must sum to more than the length of the third side. That is:

12 + 8 > z.............1

12 + z > 8;.............2

8 + z > 12.............3

Solving for (1)

20 > z...............4

Solving for (2)

we have- 12 + z > 8

remove 8 from both sides and we have

4 + z > 0  or z > -4 ...............5

Solving for (3) we have

8 + z > 12

remove 8 from both sides

z > 4 .....................6

Since we can't have a negative value on a triangle, we must deal with expressions 4 and 6 which state:

20 > z; and

z > 4

Another way to write this is:

20 > z > 4; or

4 < z < 20

Hence the range of the unknown side that will form a triangle is:

4 < z < 20

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The shaded area of the square above is what fraction of the entire square?

Answers

The fraction of the entire square that is shaded is 2/5.

What fraction of the entire square is shaded?

A square is a two dimensional object that four sides that are of equal length. This means that the dimensions of the length and the width have the same value. A square has two diagonals that bisect each other at 90°.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 1/2.

Fraction = number of shaded squares / total number of squares

16 / 40

When expressed in its simplest form, the fraction becomes 2/5.

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Ahmad decided to increase his homework time of 8 hours per week by 15%,
Calculate his new homework time.
Give your answer in hours and minutes.

Answers

Answer:

it's a answer done bro

Which of the following would earn the same amount of interest as a​ $600 principal with​ 2.5% interest for 6​ years? Question content area bottom Part 1 Select all that apply. A. ​$80 at​ 75% for 18 months B. ​$200 at​ 5% for 8 years C. ​$225 at​ 10% for 4 years D. ​$300 at​ 2% for 2 years E. ​$250 at​ 10% for 2 years

Answers

The option that would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years include:

A. $80 at 75% for 18 months

C. $225 at 10% for 4 years

How to calculate the interest?

It's important to note that the simple interest can be calculated thus:

= Principal × Rate × Time

Therefore, the amount of interest as a $600 principal with 2.5% interest for 6 years will be:

= PRT

= (600 × 0.025 × 6)

= $90

The interest on $80 at 75% for 18 months will be:

= $80 × 0.75 × 1.5

= $90

The interest on $225 at 10% for 4 years will be:

= $225 × 0.1 × 4

= $90

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i will literally do ANYTHING for doordash mcdonalds literally Anything for 20 dollars

Answers

Answer: Nice

Step-by-step explanation:

al would take six hours to paint a wall working alone, while bob would take four hours to paint it, and chuck would take three hours to paint it. al starts painting at noon. at 1:00 pm, bob joins him. chuck joins them at 1:30 pm. at what time do they finish painting the wall?

Answers

At 2:20 pm they finish the paint of wall.

Given, Al took 6 hours to paint a wall.

Bob took 4 hours and Chuck took 3 hours for same.

Let the work of painting wall is = LCM(6,4,3) = 12 Units

So in 1 hour Al works = 12/6 = 2 units

In 1 hour Bob works = 12/4 = 3 units

In 1 hour Chuck works = 12/3 = 4 units

In 1 hour, Al and Bob together do = 2+3 = 5 units

In 1 hour, all three together do = 2+3+4 = 9 units

Now from noon i.e. 12 to 1.00 pm Al works alone.

So 2 units of work is done.

From 1 pm to 1.30 pm, Al and Bob work together.

In 30 minutes i.e. ½ hour Al and Bob did = (1/2)*5 = 5/2 units

From 1.30 pm they all three work together.

Now the remaining work is = 12-(2+5/2) = 12-9/2 = 15/2 units

So they complete rest in = (15/2)/9 = 5/6 hours = 50 minutes

Hence the time of finishing the work = 1.30 + 50 minutes = 2.20 pm.

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Decide whether each equation is true for all, one, or no values of x.

Answers

1. 3x + 9 = -4.5x + 20 ; This is true for one value of x.

2. 9(x + 3) = 9x + 12 ; This is true for no values of x.

3. 4(2x + 3) = 12 + 8x ; True for any values of x.

Given,

The equations;

1. 3x + 9 = -4.5x + 20

2. 9(x + 3) = 9x + 12

3. 4(2x + 3) = 12 + 8x

We have to find whether each equation is true for all, one or no values of x.

Here,

1. 3x + 9 = -4.5x + 20

Solve for x;

3x + 4.5x = 20 - 9

7.5x = 11

x = 11/7.5

x = 1.47

Then,

This is true for one value of x.

2. 9(x + 3) = 9x + 12

Solve using distributive property;

9x + 27 = 9x + 12

9x - 9x = 12 - 27

0 = -15

This is true for no values of x.

3. 4(2x + 3) = 12 + 8x

Use distributive property and solve;

8x + 12 = 12 + 8x

8x - 8x = 12 - 12

0 = 0

True for any values of x.

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What does the y-intercept represent in the context of the problem?
the total cost at 8 visits
Total cost at 12 visits
the number of visits at $0 total cost
the total cost at 0 visits

PLEASE HELP!!!!

Answers

Answer:

D

Step-by-step explanation:

The equation of the line is y = 2x + 8

To find the y intercept we make x=0

When x=0 y=8

if y is total cost and x is number of visits then at zero visits (x=0) the total cost is 8, which is what you would find using choice D

Answer:

D) the total cost at 0 visits

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

The y-intercept is (0, 8)The x-coordinate, number of visits ⇒ x = 0, zero visits,The y-coordinate, total cost            ⇒ y = 8,  total cost is $8.

It represents the cost with zero visits, likely the membership cost, therefore the correct choice is D.

Write an absolute value equation representing all numbers x whose distance 7 is 3 units

Answers

Answer:

|x-7|=3

Step-by-step explanation:

x is 3 units away from 7

x-3=7

x-7=3

x+3=7

3=7-x

|x-7|=3

2(1 + 2k)
Simplify the expression... HELP

Answers

Answer:

2+4K

Step-by-step explanation:

distribute the 2

2(1+2k)

2(1)+2(2k)

2+4K

Hopes this helps please mark brainliest

2 + 4k
Hope this helps :)

26. Alex can complete a certain task in 10 hours. Working together, Alex and Eli can do it in 6 hours. How long will it take Eli alone to complete the task?​

Answers

Eli will take 12 hours alone to complete the task.

What are distance word problems?Algebra word problems frequently take the form of distance word problems. They involve a situation in which you must determine the speed, distance, or duration of one or more objects' travels. Because one of the most well-known distance problems involves determining the precise moment when two trains traveling in opposite directions cross paths, these are frequently referred to as "train problems."distance = rate x timed = rtIn other words, the distance you traveled is equal to the time you spent driving multiplied by the speed you were traveling at.

Acc to our question-

alex take 10 hrs to complete a workalex and eli both take 6 hours.distance = rate x timed = rtdistance = rate x timeeli will take 4 hrs

Hence,Eli will take 4 hrs.

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Which inequality has like variable terms on each side of the inequality symbol?

Answers

Inequality which have like variables term on each side of the given inequality symbol is given by 16 - 2x > x + 16.

As given in the question,

Inequality which have like variables term on each side of the given inequality symbol is :

a. 15c + 25 ≤ 115

In the given inequality, on left hand side we have variable c and constant term while on the right hand side of the inequality only constant.

Not correct option.

b. 0.75r - 6.25 > 10

In the given inequality, on left hand side we have variable r and constant term while on the right hand side of the inequality only constant.

Not correct option.

c. 16 - 2x > x + 16

In the given inequality, on left hand side we have variable x and constant term while on the right hand side of the inequality also variable x and constant term.

Correct option.

d. 12.25h -175 < 5,000

In the given inequality, on left hand side we have variable h and constant term while on the right hand side of the inequality only constant.

Not correct option.

Therefore, inequality which have like variables term on each side of the given inequality symbol is given by 16 - 2x > x + 16.

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To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9

Answers

The equation that can be used to find the price of one tire patch is 22.20 - 4x = 1.90 and 4x + 1.90 = 22.20

What is an equation?

An equation is an expression showing the relationship between two or more numbers and variables.

Rhyan paid using a gift card that had $22.20 on it.

Let x represent the cost of each tire patch needed for the mountain biking trip. Rhyan bought four tire patches and had $1.90 remaining. Hence:

22.20 - 4x = 1.90

4x + 1.90 = 22.20

The equation is 22.20 - 4x = 1.90

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the hypotenuse of a triangle is 4x one of the legs . the other leg in 3(sqrt 5 units. find the length of the hypotenus?

Answers

The length of the hypotenuse is 4√3 units.

Given that hypotenuse is 4 times the length of one leg of a triangle. So here we can assume that length to be x. Hence the hypotenuse length is 4x. To calculate hypotenuse we have the formula a²=b² + c², where b and c are two sides of the triangle and a is the hypotenuse. If we put these values in the formula we get,

16x² = x² + (3√5)²

15x² = 45

x² = 3

x = ±√3

Since length cannot be negative, the final value of x = √3, and since the length of the hypotenuse was 4x, the final value of the hypotenuse is 4√3.

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Complete the equation so that it has no solution.
-15x + 4x + 2-x=__x+3

Answers

Equation -15x + 4x + 2-x= -12x+3 has no solution.

Define equation.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities. The x + 4 = 12 equation states that the left and right sides of the equation are equal. A assertion that "this equals that" is what constitutes an equation.

Given,

Equation:

-15x + 4x + 2 - x = _x +3

For no solution, value of x on both sides should be equal,

So,

-15x + 4x - x

-12x

Value of x will be -12.

Equation -15x + 4x + 2-x= -12x+3 has no solution.

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Dan spends
34
of his wages on rent and
18 on food. If he makes £240 per week, how much money does he have left?

Answers

Dan has money left is £30.

Given:

Dan spends 3/4 of his wages on rent and 1/8 on food.

If he makes £240 per week.

Money left =  240 - 240* 3/4 - 240 * 1/8

= 240 - 60*3 - 240/8

= 240 - 180 - 30

= 60 - 30

= 30.

Therefore Dan has money left is £30.

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(2x-5)(x+2) write the area as a product and a sum

Answers

Answer:

2x^2 -x -10 is the answer as a product

3x-3 as a sum

Step-by-step explanation:

Assuming (2x-5)(x+2)=0

Let's distribute.

(2x^2+4x)(-5x-10)=0

Then combine like terms

2x^2 -x -10 is the answer as a product

3x-3 as a sum

What are the missing segment lengths shown in the image?

Answers

The length of the missing ,line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

In the question ,

a figure is given , we have to find the length of the missing line segments .

From the given figure

the Δ ACD is a right triangle ,

given that ∠A and ∠D are equal

so ,  their corresponding length AC and CD will be equal , that is AC = CD

So , By Pythagoras Theorem

AC² + CD² = AD²

2*AC² = AD²

2*AC² = (20)²

2*AC² = 400

AC² = 400/2 = 200

AC = √200

AC = CD = 10√2

The triangle ABC is also right triangle

and ∠A and ∠C are equal

so , their corresponding length AB and BC will be equal , that is AB = BC

So , By Pythagoras Theorem

AB + BC = AC

2*AB² = AC²

2*AB² = (10√2)²

2*AB² = 200

AB² = 200/2 = 100

AB = √100

AB = 10 = BC

Therefore , The length of the missing line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

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Randy and two of his friends have rectangular desks of the exact same size. The sum of the perimeters of the 3 desks is 324 inches.

If the width of each of the desks is 30 inches, what is the length of each desk?

Answers

The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.

How to calculate the length?

From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.

The perimeter for each desk will be:

= 324 / 3

= 108

The perimeter is calculated as:

= 2(length + width)

This will be

2(length + width) = 108

2(length + 30) = 108

2l + 60 = 108

Collect like terms

2l = 108 - 60

2l = 48

Divide

l = 48/2

l = 24

The length is 24 inches.

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The Jackson family just bought 15-packs of Lacroix at Costco. On average, their family drinks about eight cans a week after how many weeks will there be only five cans left? Show how you figured it out.

Answers

If the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks

Total number of packs they bought = 15 pack

The average cans they finish each week = 8

Number of cans left = 5 cans

Number of cans used = Total number of packs they bought - Number of cans left =

= 15 - 5

= 10 cans

After how many weeks will there be only five cans left = Number of cans used ÷ The average cans they finish each week

Here we have to use the division

Substitute the values in the equation

After how many weeks will there be only five cans left = 10 /8

= 1.25 weeks

Hence, if the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks

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An aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff. What is the probability that their offspring will have the genotype aabbccddeeff?.

Answers

When an aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff, the probability that their offspring will have the genotype aabbccddeeff would be 1/64.

The genotype of an organism refers to the complete set of genetic material. An offspring's genotype is the result of the combination of genes from their parents.  In order to obtain the overall probability, individual probabilities for each locus will be multiplied. The Parent cross would be AABbccDdEeFF x AaBBCCDdEeff and offspring would be AaBbCcddEEFf.

The A locus cross is AA x Aa, half of the offspring will be AA and half of the offspring will be Aa. Hence, the probability of Aa would be ½.The B locus cross is Bb x BB, half of the offspring will be BB and half of the offspring will be Bb. Hence, the probability of Bb is ½. The C locus cross is cc x CC. All of the offspring will be Cc. Hence, the probability of Cc is 1.The D locus cross is Dd x Dd. One-fourth of the offspring will be DD, one half of the offspring will be Dd, and one-fourth of the offspring will be dd. Hence, the probability of dd is ¼.The E locus cross is Ee x Ee. One-fourth of the offspring will be EE, half of the offspring will be Ee, and one-fourth of the offspring will be ee. Hence, the probability of EE is ¼.The F locus cross is FF x ff. All of the offspring will be Ff. Hence, the probability of Ff is 1.

Multiplying all the probability:

½ * ½ * 1 * ¼ * ¼ * 1 = 1/64

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A balloon was originally filled to a volume of 4,400 cubic centimeters. air inside the balloon leaks out over time. write an inequality that describes v, the volume of the balloon in cubic centimeters as air leaks out.

Answers

Answer:

V<4400

Step-by-step explanation:

Answer:

the answer is V<4,400

if you are using khan academy, do not add the comma for 4,400, otherwise it will not work.

khan academy answer: V<4400

Step-by-step explanation:

if the air leaked out, which is V, that means V would be less than 4,400 because 4,400 is what we have started with.

Therefore, the inequality would be V<4,400 or for khan academy, V=4400

1. The measures of the angles in a triangle are in the extended ratio of 1:4:7. Find the measures of the angles.


i need help with my homework

Answers

Answer:

1 : 4 : 7

15 : 60 : 105

Step-by-step explanation:

1 + 4 + 7 = 12

180⁰ ÷ 12units = 15⁰

1 unit = 15⁰

4 units = 15⁰ × 4 = 60⁰

7 units = 15⁰ × 7 = 105⁰

what if n is negative what is the value of the equation below n(2)+8 divided by 4 = 11

Answers

If n is negative the value of the equation that we have below would be -18

How to solve the equation

We have to rewrite the equation in a way that it would be easier to understand first.

[tex]\frac{-2n+8}{4} =11[/tex]

Next we would have to cross multiply

this would give us

-2n + 8 = 11 * 4

-2n + 8 = 44

take the like terms

-2n = 44 - 8

-2n = 36

divide through by -2 from the above

-2n / -2 = 36 / -2

n = - 18

Therefore given that we have that the value of the equation after n is negative is -18.

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find the general terms of the sequence 4 8 12 16

Answers

Answer: The general term is an = 4n

Step-by-step explanation:

Find quotation 1 3/4 divided by 3


Please help I think it’s 7/12

Answers

The quotation for division of 7/4 that is 1 3/4 divided by 3 will be 7/12 by the rule of division that is a/b÷c/d=a/b*d/c.

What is division?

A number is divided in division, which is a straightforward operation. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. A division is the division of a given sum into equal parts. For instance, we could split a group of 20 people into four groups of 5, five groups of 4, and so on. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. To determine how many equal groups are created or how many people are in each group, division is the primary objective.

Here,

1 3/4=7/4

7/4÷3/1,

a/b÷c/d=a/b*d/c

7/4*1/3=7/12

According to the division rule a/b÷c/d=a/b*d/c, the quotation for 7/4, which is 1 3/4 divided by 3, will be 7/12.

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which one would be the correct answer?

Answers

3x²-2x+5 is the other factor of the above polynomial (6x³-x²+8x+5) other than (2x+1).

Describe a polynomial.

In mathematics, a polynomial is an equation made up of coefficients and indeterminates, also referred to as variables. Only addition, subtraction, multiplication, and powers of positive-integer variables may be utilized to solve it. An example of a polynomial with one uncertain x is x² + 4x + 7.

Polynomials are commonly used in calculations in both mathematics and science. For instance, in the fundamental sciences of chemistry, physics, economics, and social science, they are used to define polynomial functions. They are also used in numerical analysis and calculus to approximate other functions. Simple word problems to complex scientific conundrums are all represented by polynomial equations. Polynomials are used in advanced mathematics.

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Este gráfico circular resume las especializaciones de los 450 miembros de una sororidad universitaria. El ángulo central el sector correspondiente a la especialización de ingeniería mide 50.4°. ¿Qué porcentaje de los miembros de la sororidad se especializan en ingeniería? No redondear.

Answers

Los miembros de la sororidad tiene un porcentaje de 14 % de estudiantes procedentes de la especialización de ingeniería.

¿Cuál es el porcentaje de estudiantes de la sororidad que pertenecen a la especialización de ingeniería?

El enunciado describe las características de un diagrama circula, en donde el 100 % de los miembros de la sororidad representan a los 360° del ángulo central del círculo, esto es, una revolución completa del círculo.

El porcentaje de los miembros que se especializan en ingeniería mediante la siguiente fórmula:

e = (E / 360°) × 100 %

Donde E es el ángulo asociado a la cantidad de estudiantes de la especialización de ingeniería, en grados sexagesimales.

e = (50.4° / 360°) × 100 %

e = 14 %

Los estudiantes que especializan en ingeniería corresponden a un porcentaje de 14 % de los miembros de la sororidad.

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a journalist for an automotive magazine wants to determine how the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; the maximum number of passengers; and its safety rating on a 5-point scale. what is the correct format for a multiple regression equation?

Answers

the correct format for a multiple regression equation is

ŷ= [tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex]

multiple regression: The relationship between a single dependent or criterion variable and multiple independent or predictor variables is typically explained by multiple regression. The constant term and multiple independent variables with their corresponding coefficients are used to model a dependent variable. The term "multiple regression" refers to the fact that it requires two or more predictor variables.

because, the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; and the maximum number of passengers.

thus, ŷ=[tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex] is the multiple regression equation.

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A bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earnsinterest several different ways at a rate of 4% for 3 years.Find the interest if it is computed using simple interest.Find the interest if it is compounded annually.Find the interest if it is compounded semiannually,Find the interest if it is compounded quarterly.Find the interest if it is compounded monthly.Find the interest if it is compounded daily. Find the interest if it is compounded hourly.Find the interest if it is compounded every minute.Find the interest if it is compounded continuously.What is the difference in interest between simple interest and interest compounded continuously? 2.3 Find measure of angle by finding x firstSolve for x.I need help I have forgotten how to solve for x.. Did all of the colonies agree to pay for the quartering of soldiers? Cite textual evidence to support your claim. PWEASE HELP ME ON THISRead the excerpt below from Blow, Blow Thou Winter Wind and answer the question that follows.Blow, blow, thou winter windThou art not so unkindAs man's ingratitude;Thy tooth is not so keen,Because thou art not seen,Although thy breath be rude.The fourth and sixth lines of the passage above are examples of ____________.personificationsimilealliterationhyperbole What happened between the fall of the akkadian empire and the rise of the babylonian empire?. a sprinter has a higher percentage of type ii muscle fibers than a marathon runner. select one: true false Isosceles Trapezoids in SummaryCheck ALL of the statements that are ALWAYS true about ISOSCELES TRAPEZOIDS.(Select all that apply.)1. SIDES: One pair of opposite sides are parallel.2. SIDES: One pair of opposite sides are congruent.3. SIDES: A pair of adjacent sides are congruent.4. ANGLES: Sum of the angles is 360.5. ANGLES: One set of opposite angles are congruent.6. ANGLES: Consecutive angles are congruent.7. ANGLES: All four angles are right angles.8. ANGLES: Consecutive angles are supplementary.9. DIAGONALS: One of the diagonals bisects the other.10. DIAGONALS: Diagonals are congruent.11. DIAGONALS: Diagonals intersect perpendicularly. 12. DIAGONALS: Diagonals bisect a pair of vertex angles of the shape. Which value is the best approximation for the range in ages for the oldest 25% of viewers? 4 6 15 20 a 58-year-old with a longstanding diagnosis of diverticulitis has been admitted to the hospital due to an acute exacerbation in her symptoms. the care team has deemed surgery unnecessary, but is pursuing aggressive medical treatment. what pathophysiological process is contributing to this woman's health problem? age friendly environments include not only physical buildings and areas that are accessible to older adults but also that the environment is socially accessible for engaging older adults in activities, volunteer opportunities and continued learning.true or false Customer account "numbers" for a certain company consists of 4 letters followed by 3 single-digit numbers. How many different account numbers are possible if repetitions of letters and digits are allowed? which process would be included in an accurate diagram of the rock cycle? i (a) what are the total number of resources present in the system? (b) compute what each process might still need. (b) is this system in a safe or unsafe state? why? (d) is this system currently deadlocked? why or why not? (e) which processes, if any, are or may become deadlocked? (f) if a request from p3 arrives (0,1,0,0), can that request be safely granted? if granted, what would be the resulting state (safe, unsafe, deadlocked)? which processes, if any, are or may become deadlocked if this request was immediately granted? Di qu hacen estas personas. Two consecutive odd integers have a sum of 40. Find the integers "The Cremation of Sam McGee" is he alive or not in 2.6 format betty's bbq orally contracts with denny's design house for 10,000 matchbooks at the price of 10 cents per matchbook. the matchbooks are to be embossed with a logo to be designed by denny's design promoting betty's bbq. price, payment terms, and delivery terms are agreed upon between the parties. denny's design creates the logo, gets betty's bbq's approval of the design, and begins applying the logo on the matchbook covers. denny's design has almost finished the order when betty's bbq calls to say it has decided to make the eatery a smoke-free restaurant and cancels the order. denny's design sues, but betty's bbq states that the agreement is unenforceable under the statute of frauds. who wins? K =2abc1 + a-b(squared)+c - 5bIf a = 4, b = -2 and c = -1evaluate KK= 1 million divided by 2 100.0 ml of a 0.840 m solution of kbr is diluted to 500.0 ml. what is the new concentration of the solution?