What equation is solved by the graphed systems of equations?
A. 7x+3=x+3
B. 7x-3=x-3
C. 7x+3=x-3
D. 7x-3=x+3

To find the limit, we can compare the degrees of the highest powers of x in the numerator and denominator.

Thefore the limit of the given function as x approaches infinity is 8/5.

The given limit:

\(\lim_{{x \to \infty}} \frac{{8x^2 - 9}}{{5x^2 - x - 3}}\)

To find the limit, we can compare the degrees of the highest powers of x in the numerator and denominator.

Let's factor out x² from both the numerator and denominator:

\(\lim_{{x \to \infty}} \frac{{x^2 \cdot (8 - \frac{{9}}{{x^2}})}}{{x^2 \cdot (5 - \frac{{1}}{{x}} - \frac{{3}}{{x^2}})}}\)

Canceling out x² from the numerator and the denominator, we get:

\(\lim_{{x \to \infty}} \frac{{8 - \frac{{9}}{{x^2}}}}{{5 - \frac{{1}}{{x}} - \frac{{3}}{{x^2}}}}\)

As x approaches infinity, the terms with \(\frac{1}{{x^2}}\) and \(\frac{1}{{x}}\) tend towards zero. Thus, we can simplify the expression to:  \(\frac{8}{5}\)

Therefore, the limit of the given function as x approaches infinity is \(\frac{8}{5}\).

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To evaluate the limit  \(\lim_{x \to \infty} \frac{8x^2 - 9}{5x^2 - x - 3}\)

we factored the expression, canceled out common factors, evaluated the limit, and simplified the result to obtain \(\frac{4}{5}\).

To evaluate the limit lim \(\lim_{x \to \infty} \frac{8x^2 - 9}{5x^2 - x - 3}\), we can use the properties of limits.

Step 1: Factor the numerator and denominator.
The numerator can be factored as \((4x + 3)(2x - 3)\), and the denominator can be factored as \((5x + 3)(x - 1)\).

Step 2: Cancel out common factors.
Since we have a common factor of \((2x - 3)\) in both the numerator and the denominator, we can cancel it out.

Step 3: Evaluate the limit.
Taking the limit as x approaches infinity, we can ignore the constant terms (3 and -1) and simplify the expression to \(\lim_{{x \to \infty}} \frac{{4x}}{{5x + 3}}\).

Step 4: Divide the coefficients of the highest power of x.
The limit of \(\frac{{4x}}{{(5x + 3)(4x)}}\) as x approaches infinity can be simplified to (\(\frac{4}{5}\)).

Therefore, the limit lim \(\lim_{x \to \infty} \frac{8x^2 - 9}{5x^2 - x - 3}\) is equal to \(\frac{4}{5}\).

In summary, we factored the expression, canceled out common factors, evaluated the limit, and simplified the result to obtain \(\frac{4}{5}\).

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The monthly payment on the $5,000 loan on a 10% interest rate compounded monthly for 10 years is about $66

A loan is an amount borrowed, which is to be repaid or paid back usually with an interest.

The details of the loan are;

Loan principal amount, P = $5,000

The interest rate on the loan = 10%

The duration of the loan, number of years, T = 10 years

The formula for the monthly payment on a loan, EMI, can be expressed as follows;

EMI = P·(r·(1 + r)ⁿ)/((1 + r)ⁿ - 1)

The monthly interest rate, r = 0.1/12

The number of payments, n = 10 × 12 = 120

Therefore;

EMI = 5000 × (0.1/12 × (1 + 0.1/12)¹²⁰)/((1 + 0.1/12)¹²⁰ - 1) ≈ 66

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Answer:

weeb -_-

Step-by-step explanation:

Answer:

Hi my name is Kusuo Saiki and i have psychic superpowers? From The Disastrous Life of Saiki K.? Right

Step-by-step explanation:

a. Yes, it is possible to apply supertype/subtype hierarchy to the above situation.  The EER diagram is shown below. The specialization rule it satisfies is partial completeness constraint. c. A possible scenario in which the diagram satisfies the other specialization rule. d. To incorporate the fact that the owner wants to sell both new and old products.

This is because all of the electronic goods are related to each other in some way. These items can be grouped together as electronic devices, and each type of device can have its own set of attributes.

b. The EER diagram is shown below. The specialization rule it satisfies is partial completeness constraint.

c. A possible scenario in which the diagram satisfies the other specialization rule (disjointness constraint) is if the store decides to only sell one type of device (for example, only mobile phones).

d. To incorporate the fact that the owner wants to sell both new and old products, we can add a "condition" attribute to the device entity. This attribute can have two possible values: "new" or "old". We can also add a "date of manufacture" attribute to the device entity to keep track of when the product was made.

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A sequence of rigid transformations is applied to quadrilateral URST. Shifting an object along a straight path without any rotation or reflection is called translation, which is a type of transformation used in this quadrilateral.

Based on the given coordinates of the quadrilateral URST and its transformed image U'R'S'T', let's analyze the transformations applied to each vertex,

Translation vector = (x'-x, y'-y)

U' = (-6, 0) - (-1, -2) = (-5, 2)

R' = (-2, 1) - (3, -1) = (-5, 2)

S' = (1, 0) - (6, -2) = (-5, 2)

T' = (-3, -2) - (2, -4) = (-5, 2)

We observe that the translation vector is (-5, 2) for each vertex.

Therefore, Translation: 5 units left, 2 units up

Rule: (x, y) → (x - 5, y + 2)

Therefore, only translation transformation is used.

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Answer: Choice C

\(0 \le d \le 2\)

Graph with filled in circles at d = 0 and d = 2, shading in between

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

Explanation:

d = amount downloaded in gigabytes

The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.

The largest amount allowed is d = 2. This is the cap that the ISP has set up.

So basically d can be anything between d = 0 and d = 2, including both endpoints. This means \(0 \le d \le 2\)

We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.

Work Shown:

10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001

The rule used here is x^(-k) = 1/( x^k )

Answer:

C. O.001

Step-by-step explanation:

10^-3 = (1)/(10^3)

move the negative exponent to the denominator

(1)/(1000)

simplify 10^3 in the denominator

(1)/(1000) = 0.001

Answer:

594 > -11n

Step-by-step explanation:

The solution is

n > -54

Multiply both sides by -11:

-11n < 594

which is the same as

594 > -11n

Answer:

C

Step-by-step explanation:

The person above

D

since you are finding for X, and not x^3. Take cubic root of both sides to eliminate the index or power of 3. The cubic root of 0.64 is 0.861 approximately 0.9

The simplest factorial design contains 2 independent variables with 2 conditions. The answer is option B.

A factorial design is a study in which two or more independent variables are manipulated to see their impact on the dependent variable. The simplest factorial design contains two independent variables, each with two conditions, for a total of four conditions. This is referred to as a 2x2 factorial design. The factors analyzed in such a design are the primary factor: Factor A, which has two levels, is known as the primary factor or the rows, and the secondary factor: Factor B, which has two levels, is referred to as the secondary factor or the columns.

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In mutually exclusive data, you cannot find any overlap or intersection between the categories or events being analyzed.

This means that the occurrence of one event or category precludes the occurrence of the other. On the other hand, in dependent data, the occurrence of one event or category may have an effect on the occurrence of the other, and thus, they are not completely independent or separate. Therefore, in both cases, you cannot find any shared or common outcomes or occurrences between the categories or events being analyzed.

You cannot find a direct correlation or causal relationship between mutually exclusive or dependent data. In mutually exclusive events, the occurrence of one event prevents the occurrence of the other, meaning they cannot happen at the same time. In dependent events, the probability of one event happening is influenced by the outcome of a previous event. Due to these characteristics, it is not possible to establish a direct correlation or causal relationship between such events.

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The central metaphor which is presented in six degrees of separation is:

This refers to the figure of speech which makes use of comparison to show the similarity between two different things.

With this in mind and from the concept of six degrees of separation, we can see that it is based on the theory that people are about six or fewer connections away from each other.

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Answer:

To find the total length of the two sides, we simply add them together:

Total length = Side 1 + Side 2

Total length = (8x^2 - 5x - 2) + (7x - x^2 + 3)

Total length = -x^2 + 8x^2 - 5x + 7x - 2 + 3

Total length = 7x^2 + 2x + 1

Therefore, the total length of the two sides of the triangle is 7x^2 + 2x + 1.

Step-by-step explanation:

To find the length of the third side of the triangle, we need to use the formula for the perimeter of a triangle:

Perimeter = Side 1 + Side 2 + Side 3

We are given the perimeter of the triangle as 4x^3 - 3x^2 + 2x - 6 and we know the lengths of Side 1 and Side 2. Therefore, we can rewrite the formula as:

4x^3 - 3x^2 + 2x - 6 = (8x^2 - 5x - 2) + (7x - x^2 + 3) + Side 3

Simplifying the right-hand side:

4x^3 - 3x^2 + 2x - 6 = 7x^2 + 2x + 1 + Side 3

Side 3 = 4x^3 - 3x^2 + 2x - 6 - 7x^2 - 2x - 1

Simplifying further:

Side 3 = 4x^3 - 7x^2 - x - 7

Therefore, the length of the third side of the triangle is 4x^3 - 7x^2 - x - 7.

Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction.

Closure under addition means that when two polynomials are added, the result is also a polynomial. In Part A, we added the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 to get the total length of the two sides of the triangle, which is 7x^2 + 2x + 1. Since the total length is also a polynomial, this shows that the polynomials are closed under addition.

Closure under subtraction means that when one polynomial is subtracted from another polynomial, the result is also a polynomial. In Part B, we subtracted the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 from the given perimeter of the triangle, 4x^3 - 3x^2 + 2x - 6, to get the length of the third side of the triangle, which is 4x^3 - 7x^2 - x - 7. Since the length of the third side is also a polynomial, this shows that the polynomials are closed under subtraction.

Therefore, the answers for Part A and Part B demonstrate that the polynomials are closed under addition and subtraction.

Answer:

Teresa tiene 1 chocolate.

Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:

1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.

Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:

2/3 - 1/4

recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:

(4/4)*(2/3) - (3/3)*(1/4)

(a cada fracción la multiplico y divido por el denominador de la otra)

8/12 - 3/12 = (8 - 3)/12 = 5/12

Es decir, Teresa finalmente tiene 5/12 del chocolate.

Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:

1 - 5/12 = 12/12 - 5/12 = 7/12

Ella repartió 7/12 de su chocolate.

La fracción de chocolate que repartió Teresa es 7/12

Let we have to add two fractions as:

\(\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}\)

Then we will find Lowest Common Multiple (LCM) of \(b_1\) and \(b_2\)

That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the final result of addition.

For this case, we're provided that:

So, the total part she gave is addition of those fractions.

Total part of chocolate Teresa gave = 1/3 + 1/4

LCM of 3 and 4 is 12 since 12 is the smallest number whose factors are 3 and 4 both(this is what LCM of two numbers denote).

Converting each fraction such that it has denominator 12, we get;
\(\dfrac{1}{3} \times\dfrac{4}{4} = \dfrac{4}{12}\\\\\dfrac{1}{4} \times\dfrac{3}{3} = \dfrac{3}{12}\\\)

And their addition is:

\(\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}\)

Thus, the portion of the chocolate that Teresa distributed is 7/12.

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i- dont know...sorry

Based on the given simple statements, "The scroll is open" and "The writings are visible," we can determine which compound statements would also be true.

The scroll is not open or the writings are visible.

This compound statement would be true. Since the first simple statement states that the scroll is open, the negation of this statement would be that the scroll is not open. The second simple statement states that the writings are visible, which aligns with this compound statement. Therefore, this compound statement is true.

The scroll is open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, the second part of this compound statement contradicts the given information.

The scroll is open or the writings are visible.

This compound statement would be true. It directly matches the given simple statements, where both the scroll being open and the writings being visible are mentioned. Therefore, this compound statement is true.

The scroll is not open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, neither part of this compound statement aligns with the given information.

The compound statements that would be true are:

The scroll is not open or the writings are visible.

The scroll is open or the writings are visible.

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Answer:

true

Step-by-step explanation:

its like a bar graph but joint. theres no space between two consecutive bars

Janet's choice to use Door Dash instead of Uber Eats can be explained using two concepts from Predictably irrational: the power of free offers and the influence of perceived value.

In Predictably Irrational, one example discussed is the "Zero Price Effect." People tend to be more attracted to offers that are free, even if the overall value may be similar or slightly inferior. Janet's decision to choose Door Dash can be attributed to the free delivery promo, which creates a perception of added value and savings, even if the food prices themselves are comparable.

Another concept is "The Decoy Effect." When presented with multiple options, a decoy is strategically introduced to influence decision-making. In this case, Door Dash's free delivery offer acts as a decoy, making the alternative (Uber Eats) seem less appealing in comparison.

Janet's choice is influenced by the allure of a free offer, creating a positive perception of Door Dash's value. The power of free and the decoy effect play a role in swaying her decision.

Janet's choice of Door Dash over Uber Eats exemplifies the impact of free offers and perceived value on decision-making. The free delivery promo provided by Door Dash creates a sense of added value and savings, making it a more appealing option. The presence of a decoy effect diminishes the attractiveness of Uber Eats.

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Step-by-step explanation:

HERE,

angle A=x+5

angle B=3x

angle C=x

we know that,

sum of three angle of a triangle =180°

According to the question,

\(\tt{ x+5+3x+x=180 }\)

\(\tt{5x+5=180 }\)

\(\tt{ 5x=180-5 }\)

\(\tt{5x=175 }\)

\(\tt{ x=\dfrac{175}{5} }\)

\(\tt{x=35 }\)

So,

\(\bold{\angle{B}=3x=3×35=105° }\)

The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C

Given the data :

Person 1 :

Person 2 :

Person 3 :

Mean value = (Total sum ÷ Frequency)

Mean value = [(-2 + (-1) + 12) ÷ 12]

Mean value = - 9 ÷ 12 = - 0.75

Therefore, the mean value of the result is 0.75°C

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The probability that a student is in choir, given that the student is in the school musical is (c) 56%

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

School musical and choir = 18%

School musical = 32%

The requird probabilty is calculated as

P = School musical and choir/School musical

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

P = 18%/32%

Evaluate

P = 56%

Hence, the probability is (c) 56%

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Answer:

D. 16 in.

Step-by-step explanation:

The radius of the circle is 8 in. The diameter of any circle is twice the radius.

2 x 8 = 16

The diameter is 16 in. long.

I hope this helped :)

Shaun travels 7.92 miles in 25 minutes when rounded to the nearest hundredth.

To find the distance traveled by Shaun, we can use the formula:

distance = speed x time

Converting 19 miles per hour to miles per minute, we get:

19 miles/hour = 0.3167 miles/minute

Then, we can plug in the values:

distance = 0.3167 miles/minute x 25 minutes

distance = 7.9175 miles

Rounding to the nearest hundredth, we get 7.92 miles. Therefore, Shaun travels 7.92 miles in 25 minutes when rounded to the nearest hundredth.

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A probability distribution refers to a chart of values of the probabilities of a discrete random variable. The cumulative probability distribution refers to the cumulative probability for a particular value on the chart to the left and above the row of that particular value on the table.

To calculate the cumulative probability distribution for the given values, we will use the binomial distribution formula:

\($$P(X = k) = {{n \choose k}} p^k (1 - p)^{n - k}$$\)

Where n=5, p=0.508 and k=0, 1, 2, 3, 4, 5. To make calculations easy, you can use any statistical software or a calculator like Stat Disk, Excel or R.

Using Microsoft Excel, follow these steps to calculate the probability distribution:

Open the Excel application and select a new worksheet.Write the number of voters n polled in cell A1.Write the probability of each voter preferring Candidate A in cell A2.

Type "=0.508" and press enter to enter the value.

Write the number of voters polled who prefer Candidate A in cell A3. Type "=0, 1, 2, 3, 4, 5" in cells A3 to A8 respectively. Write the following formula in cell

\(B3: =BINOM.DIST(A3,A1,A2,FALSE)\)

Press the enter key and drag the formula to cell B8 to obtain the distribution table.The resultant table represents the probability distribution of X for all values of X. To calculate the cumulative distribution table, write the following formula in cell

\(C3: =BINOM.DIST(A3,A1,A2,TRUE)\)

Press the enter key and drag the formula to cell C8 to obtain the cumulative distribution table.

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Answer:

A. AC = FH

Step-by-step explanation:

SAS and then CPCTC

Answer: Yes

Step-by-step explanation:

Yes, you can run different system voltages in the same conduit and boxes. The conductors must be rated for the highest voltage present and used on all circuits.

You need to get final payment for the cabinets before they enter the home. then bill for the installation the day of instillation and collect the check before you leave if possible

No, once installed they become part of the house, you can not remove the kitchen cabinets or any other cabinets that have been installed without the consent of the home owner in writing. if you are a good contractor why would you have to take the kitchen cabinets out of the house anyway. But if you have to you can take the doors.

The probability of typing three letters without repetition and all three being vowels is approximately 6.667%.

To calculate the probability, we need to determine the total number of possible three-letter combinations without repetition and the number of combinations where all three letters are vowels.

The total number of possible three-letter combinations without repetition:

Since there are no repetitions allowed, we have 26 choices for the first letter (26 alphabets), 25 choices for the second letter (excluding the first letter), and 24 choices for the third letter (excluding the first and second letters). Therefore, the total number of possible combinations is 26 x 25 x 24 = 15,600.

The number of combinations where all three letters are vowels:

Out of the 26 alphabets, there are 5 vowels (a, e, i, o, u). So, we have 5 choices for each of the three letters. Therefore, the number of combinations where all three letters are vowels is 5 x 5 x 5 = 125.

Calculating the probability:

The probability is given by the number of favorable outcomes (combinations where all three letters are vowels) divided by the total number of possible outcomes (all three-letter combinations without repetition).

Probability = (Number of combinations where all three letters are vowels) / (Total number of possible combinations)

Probability = 125 / 15,600 ≈ 0.008

Converting to a percentage and rounding to three decimal places, the probability is approximately 0.800%.

Therefore, the probability of typing three letters without repetition and all three being vowels is approximately 6.667%.

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       \(\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}\)

       Find the slope of the line that goes through (2, 8) and (4, 6)

     \(\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}\)

The slope formula will help us find the slope, Here it is:-

\(\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}\)

Now, replace y2 with 6, y1 with 8, x2 with 4, and x1 with 2:-

\(\Large\text{$\displaystyle\frac{6-8}{4-2}$}\)

Simplifying,

\(\Large\text{$\displaystyle\frac{-2}{2}$}\)

Simplifying further,

\(\hookrightarrow\underline{\boxed{\sf{Slope=-1}}}\)

#TogetherWeGoFar

\(\rule{300}{1}\)

Answer:

\(\sf \boxed{-1} \ \ is \ the \ slope\)

Explanation:

\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

Here given points: A(2,8) and B(4,6)

Find slope (m):

\(\sf \rightarrow \dfrac{6-8}{4-2}\)

simplify

\(\sf \rightarrow -1\)

To find equation:

\(\sf y-y_1 = m(x-x_1)\)

\(\rightarrow y-8 = -1(x-2)\)

\(\rightarrow y = -x+2+8\)

\(\rightarrow y = -x+10\)