I find myself stuck on how to solve linear homogeneous recurrence relations with variable coefficients without essentially guessing at the ...

Answer:

x=1/2, y=-7

Step-by-step explanation:

4x-3y=23 (1)

2x-5y=36

4x-3y=23

(-2)*(2x-5y=36)

4x-3y=23

-4x+10y=-72 +

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

7y=-49

y=-49/7

y=-7

(1)--> 4x-3*(-7)=23

4x+21=23

4x=23-21

4x=2

x=2/4

x=1/2

Answer:

x = 1/2, y = -1/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Refer to attached. All answers included.

Answer:

3z^2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The equivalent annual cost (EAC) of the project is $78,000, considering the initial fixed asset and net working capital investments, annual operating cash flow, and required return of 10%.



To calculate the equivalent annual cost (EAC) of the project, we need to consider the initial fixed asset investment, initial net working capital (NWC) investment, annual operating cash flow (OCF), and the required return.

The EAC can be calculated using the formula:

EAC = Initial Fixed Asset Investment + Initial NWC Investment + Present Value of Annual OCF

First, let's calculate the present value (PV) of the annual OCF using the formula for the present value of a growing perpetuity:PV = OCF / (r - g)

where r is the required return and g is the growth rate of OCF. In this case, the OCF is constant, so the growth rate (g) is zero.

PV = (-$22,000) / (0.10 - 0) = -$220,000

Next, we can calculate the EAC:

EAC = $275,000 + $23,000 + (-$220,000) = $78,000

Therefore, the equivalent annual cost (EAC) of the project is $78,000.

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Note: I am assuming we have to determine the angle 'Ф'.

Answer:

The value of Ф = 22.6°

Step-by-step explanation:

Given

hypotenuse = 13

To determine:

Angle = Ф = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

so substituting adjacent = 12, hypotenuse = 13 in the equation

cos Ф = adjacent / hypotenuse

cos Ф = 12 / 13

Ф = arccos (12/13)

Ф = 22.6°

Therefore, the value of Ф = 22.6°

The applicant who should be offered the job based on the aptitude test scores is Reyna. Reyna scored 87 on her version of the test, which has a mean of 73 and a standard deviation of 10.

Demetria scored 301.8 on her version of the test, which has a mean of 288 and a standard deviation of 23. Pierce scored 8.56 on his version of the test, which has a mean of 7.3 and a standard deviation of 0.6. The scores of Reyna, Demetria, and Pierce can be compared by standardizing them and calculating the z-scores. Standardizing involves subtracting the mean from the score and dividing by the standard deviation, resulting in z-scores. This can be used to compare the performance of each applicant relative to their own version of the test. Reyna's z-score is 1.37, Demetria's z-score is 0.86, and Pierce's z-score is 14.27. This shows that Reyna performed better than Demetria, and significantly better than Pierce. Reyna should therefore be offered the job based on her performance on the aptitude test.

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Answer:

2 sides of equal length meaning the poster is a rectangle

The set of numbers whose decimal representations are neither repeating nor terminating is known as the set of irrational numbers.

Irrational numbers are numbers that cannot be expressed as fractions and have non-repeating and non-terminating decimal representations. Examples of irrational numbers include √2, π (pi), and e (Euler's number). These numbers are infinite and non-repeating, meaning their decimal representation goes on forever without following a specific pattern. The proof that √2 is irrational was first demonstrated by the ancient Greeks, and the irrationality of π and e was proven much later in history. Irrational numbers play a significant role in mathematics and are essential for understanding concepts like limits, calculus, and geometry.

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What is the mathematical term for the set of numbers whose decimal representations are neither terminating (finite decimal) nor repeating (infinite periodic decimal)?

Answer:

24.2

Step-by-step explanation:

divide 60.50 by 30 then multiply that by 12

12) There were about 557 principals in attendance. 13) Option A: The college will have about 480 students who prefer cookies. 14) Option C: bar graph, title favorite sport and the x axis labeled sport and the y axis.

The relationship between two quantities that are measured on the same scale and in the same units is known as a percentage. The relative size or magnitude of one thing in comparison to another is represented by proportions, which are frequently stated as ratios, fractions, or percentages. For instance, if there are 8 girls and 12 boys in a class, the girl-to-boy ratio is 8:12, or 2:3, which indicates that there are 3 guys for every 2 girls. Statistics, geometry, and physics are just a few of the mathematical and scientific disciplines that use proportions. Proportions are frequently used in statistics to describe the distribution of a population or a sample.

12) For the number of principals in conference we set up a proportionality with total people as follows:

We know that, 52 principals out of 70 people thus:

52/70 = x/750

Now,

x = (52/70) * 750

x = 557.14

Hence, we can predict that there were about 557 principals in attendance at the conference.

13) Given that, out of 225 students 27 prefer cookies thus,

27/225 = 0.12

That is 12% students like cookies.

Now, for the total number of students we have:

0.12 * 4000 = 480

Thus, option A: The college will have about 480 students who prefer cookies.

14) For the collected data the best representation is option C: bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44.

15) For the given description of the line plot the median is:

For Bus 47 = 16

For Bus 18 = 13

The faster bus is Bus 47, with a median of 16.

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Given :

We are given the slope m = -2 and a point on the line (-2, -3).

To find :

The equation for the line in slope-intercept form

Solution :

We can use the point-slope form of the equation of a line to find the slope-intercept equation of the line:

y - y₁ = m(x - x₁)

Where (x₁, y₁) is the given point on the line.

Substituting the given values, we get:

y - (-3) = -2(x - (-2))

Simplifying:

y + 3 = -2(x + 2)

Expanding:

y + 3 = -2x - 4

Subtracting three from both sides:

y = -2x - 7

Therefore, the equation of the line that passes through the point (-2, -3) and has a slope of -2 is :

y = -2x - 7.

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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Answer: 6 and 5

Step-by-step explanation:

Explained already by another user

Answer:

6 and 5 is the answer

6*5=30 and

6+5=11

Step-by-step explanation:

Hope it helps you!!

Answer: B

Step-by-step explanation:

A  $70 is fixed, we have to add $50 each hour. So, it will be 70 + 50x. If he charged $285 overall, this means that 70 + 50x = 285

50x = 285 - 70

50x = 215

x = 215/50 = 4.3

Answer:

The answer is 10.12

Step-by-step explanation:

You add both numbers together and then subtract the sum to the 40 dollars

A phrase, "the difference of c and 6 is greater than or equal to -26" as an expression, is c - 6 ≥ -26.

A term is a single mathematical phrase. It might consist of only one variable-a letter-one number-positive or negative-or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. The number used before a sentence is called a coefficient.

Given:

A phrase: The difference of c and 6 is greater than or equal to -26.

The difference of c and 6 can be expressed as,

c - 6.

And c - 6 is greater than or equal to -26 can be expressed as,

c - 6 ≥ -26.

The expression is c - 6 ≥ -26.

Therefore, the phrase can be expressed as c - 6 ≥ -26.

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Answer:

A

Step-by-step explanation:

y = - 1.7x + 8.5 ( add 1.7x to both sides )

1.7x + y = 8.5 ( multiply through by 10 )

17x + 10y = 85 → A

Answer:

Other dude is correct

Step-by-step explanation:

In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Write 0.8 as 0.8/1.

Multiply the numerator and denominator by 10 for each digit after the decimal point:

\(\boldsymbol{\sf{\dfrac{0.8}{1}=\dfrac{0.8\times10}{1\times}=\dfrac{8}{10} }}\)

To reduce the fraction, we find the greatest common factor (GCF) for 8 and 10. A factor is just a number that is divided into another number without any remainder.

The greatest common factor (GCF) for both 8 and 10 is: 2.

Now, to reduce the fraction, we divide both the numerator and denominator by the value of the GCF.

\(\boldsymbol{\sf{\dfrac{8}{10}=\dfrac{8\times2}{10\times2}=\dfrac{4}{5} }}\)

As a side note, the integral part of the integer is: empty

The decimal part is: 8 = ⁸/₁₀

Complete breakdown of simple fractions: 80/100

= 8/10

= 4/5

\(\red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04 }}}}}}}\)

Answer:

Q bc in decimal form its about 3.16 or something

Step-by-step explanation:

:)

Answer:

0.054978 litros, redondeado a la millonésima de cm ^ 3 más cercana

Step-by-step explanation:

El volumen del cilindro =

(pi) (radio) ^ 2 * altura =

(pi) (1 cm / 2) ^ 2 * 70 cm =

(pi) (0.5) ^ 2 * 70 cm ^ 3 =

54.978 cm ^ 3, redondeado a la milésima de cm ^ 3 más cercana

Dado que 1 litro = 1000 cm ^ 3,

El volumen del cilindro =

54,978 / 1000 =

0.054978 litros, redondeado a la millonésima de cm ^ 3 más cercana

This question is incomplete

Complete Question

An open box is formed from a rectangular piece of cardboard that is 5 in. longer than it is wide, by removing squares of side 4 in. from each corner and folding up the sides. If the volume of the carton is then 336 in³, what were the dimensions of the original piece of cardboard?

Select one:

a. 15 in. by 20 in.

b. 7 in. by 12 in.

c. 11 in. by 16 in.

d. 19 in. by 24 in.

Answer:

a. 15 in. by 20 in.

Step-by-step explanation:

We are told that:

An open box is formed from a rectangular piece of cardboard that is 5 in longer than it is wide, by removing squares of side 4 in from each corner and folding up the sides.

Volume of the carton = 336 in³

Step 1

We find the area of the new piece of the cardboard

Volume of the carton/side of the square removed

= 336 in³/4 in

= 84 in²

Step 2

An open box is formed from a rectangular piece of cardboard that is 5 in longer than it is width.

Length = 5 + Width

Hence, we find the factors of 84 in² that has a difference of 5 in

Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84

Hence, the Factors with a difference of 5 inches = 7 and 12

The Length = 12 inches

Width is 7 inches.

The dimensions of the new piece of cardboard is 7 inches by 12 inches

Step 3

What were the dimensions of the original piece of cardboard?

Remember in the question, we are told that squares of sides 4 inches were removed from both corners

Hence,

4 inches + 4 inches = 8 inches was removed.

The dimensions of the original piece of cardboard =

Original Width = Width of the new cardboard + 8 inches

= 7 inches + 8 inches

= 15 inches.

Original length = Length of the the new cardboard + 8 inches

= 12 inches + 8 inches

= 20 inches.

Therefore, the dimensions of the original piece of cardboard is 15 inches by 20 inches

In the case of Alicia, The single net increase is 5.821% of the original price.

Alicia is buying shoes at a department store that offers a 15% discount on all shoes. Additionally, she has a store card that gives her another 5% discount. However, at checkout, the cashier tells her that there will be two increases, one of 2% for commissions and another of 18% for general sales tax. To determine if there is a net discount or increase, we need to calculate the total discount and total increase separately and compare them.

First, let's calculate the total discount:

Next, let's calculate the total increase:

If the total discount is greater than the total increase, then there is a net discount. If the total increase is greater than the total discount, then there is a net increase.

Therefore, we need to compare:

Simplifying both expressions, we get:

Since 1.0506 x Original Price is greater than 0.20 x Original Price, we can conclude that there is a net increase.

To calculate the amount of the single net increase, we can subtract the discounted price from the increased price:

Simplifying the expression, we get:

Therefore, the single net increase is 5.821% of the original price.

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Complete Question:

Alicia will buy shoes in a department store that advertises a 15% discount on all shoes, plus she has the store card and therefore they will give her another 5% discount. When paying: the cashier tells you that they will make 2 increases, one of 2% for commissions and the other of 18% for general sales tax. Determine if it is the case, how much is the discount or single increase?

Answer:

1093

Explanation:

Given expression:

Summation:

Formula:

Compute:

\(\rightarrow \sf 3^0 + 3^1 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6\)

\(\rightarrow \sf 1 + 3 + 9 + 27 + 81 + 243 + 729\)

\(\rightarrow \sf 1093\)

Answer:

\( \boxed{\rm \: SUM = 1093 }\)

Step-by-step explanation:

Given:

\( \huge\rm {{ \sum}^6_{n=0\:} (3)^n}\)

To Find:

Sum of the given finite series

Solution:

We'll use this formula:

\( \boxed{\rm SUM = a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)}\)

where,

Let's find out the ratio R by using this formulae:

\( \rm \: r = \cfrac{a_{n + 1} }{a_n}\)

According to the question,

Substitute:

\( \rm \: r = \cfrac{3 {}^{n + 1} }{3 {}^{n} } \)

Apply law of exponents:[a^m/a^n] = a^m-n

\( \rm \: r = {3}^{n + 1 - n} \)

Rearrange it as:

\( \rm \: r = 3 {}^{n - n + 1} \)

\( \rm \: r = 3 {}^{1} = 3\)

So,the ratio R is 3.

Now let's find out the First term A.

To find, substitute the value of n in 3^n:

\( \rm \: a = 3 {}^{0} \)

\( \rm \: a = 1\)

Hence, first term A is 1.

NOW Substitute the value of the first term A and ratio R onto the formulae of sum:

\( \rm \: a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)\)

Simplify.

\( \rm SUM = \rm \: 1 \times \cfrac{1 - 3 {}^{7} }{ 1 - 1 \times 3} \)

\( \rm \: SUM = \cfrac{ - 2186}{1 - 3} \)

\( \rm \: SUM = \cfrac{ \cancel{ - 2186} \: \: {}^{1093} }{ \cancel{ - 2} \: \: ^{1} } \)

\( \rm \: SUM = 1093\)

We're done!

Hence, the sum of the given Finite series is 1093.

\( \rule{225pt}{2pt}\)

Answer:

Step-by-step explanation:

words type per minute =210/6

                                       =35

Answer:

N D J

Step-by-step explanation:

may, june, july, august, september...

i only edited to add explanation

Answer:

N for November

Step-by-step explanation:

This is a riddle where each letter represents a month.

March, April, May, June, July, August, September, October, November, December...

Hope this helps!!! PLZ MARK BRAINLIEST!!!

The term "income" refers to the money that an individual earns or receives in exchange for their work or services.

In this case, the panhandler is making $15 to $20 per day on the streets, which can be considered his income. The terms "prestige," "status," and "wealth" are not relevant in this context.
                                             A panhandler who makes $15 to $20 per day on the streets and you want to know whether this is his A) wealth, B) income, C) status, or D) prestige.

The answer is B) income. The money a panhandler makes per day can be considered his daily income.

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Answer:

She has 9 nickels, and 8 dimes.

Step-by-step explanation:

We know that she has a total of $1.25. We know that a nickel is $0.05, and that a dime is $0.10.

9x$0.05=$0.45

8x$0.10=$0.80

Answer:

9 nickels

8 dimes

Step-by-step explanation:

.05(n + 1) + .10n = 1.25

.05n + .05 + .10n = 1.25

.15n = 1.20

n = 1.2 / .15

n = 8

but there are 9 nickels because there is "one more nickel than dimes"