how many solutions does the equation 6(x+2)=3(2x+3) have?

Answer:

Below

Step-by-step explanation:

Z score is the ± standard deviations from the mean

The SD (standard deviation) of a list is 0 indicating that all the numbers on the list are the same. The r.m.s. (root mean square) size of a list is 0 means that all the numbers on the list are 0.

(a) The standard deviation measures the spread or dispersion of a list of numbers. When the SD of a list is 0, it means that there is no variation in the values of the list. In other words, all the numbers on the list are the same. This can be illustrated with an example:

Example: List [2, 2, 2, 2]

In this case, the SD of the list is 0 because all the numbers are the same (2).

(b) The root mean square (r.m.s.) size is a measure of the average magnitude or size of a list of numbers. When the r.m.s. size of a list is 0, it means that all the numbers on the list are 0. This can be demonstrated with an example:

Example: List [0, 0, 0, 0]

In this case, the r.m.s. size of the list is 0 because all the numbers are 0.

It is important to note that option (iii) "all the numbers on the list are 0" is the correct answer for both (a) and (b) as it satisfies the given conditions of having an SD of 0 and an r.m.s. size of 0.

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

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

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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A percentage is out of 100%.

19 (questions right) / 28 (total) = 0.67857142857

Round to the tenth, 67.9.

Answer:

Kanisha's test score is approximately 67.8571 percent.

Step-by-step explanation:

19/28 is about 67.8571, just under the 68 percent passing score. However, if her test score is rounded up, it will exactly meet the lowest passing score.

Answer:

20 smaller boxes

Step-by-step explanation:

Given

Smaller Box = 10 + 6.5n

Larger Box = 16 + 6.2n

Required

Determine the number of small box in each box

To do this, we simply equate both expressions:

\(Smaller\ Box = Larger\ Box\)

\(10 + 6.5n = 16 + 6.2n\)

Collect Like Terms

\(6.5n - 6.2n = 16 - 10\)

\(6.5n - 6.2n = 6\)

\(0.3n = 6\)

Make n the subject

\(n = 6/0.3\)

\(n = 20\)

Hence, there are 20 smaller boxes

Translation 1: 5 units to the left and 4 units down, followed by a reflection across the x-axis.Translation 2: 4 units to the left and 5 units down, followed by a reflection across the x-axis.Translation 3: 4 units to the left and 5 units down, followed by a reflection across the x-axis.

Translation 3: 4 units to the left and 5 units down.Now, for each of these translations, we need to apply a reflection across the x-axis. The reflection across the x-axis is a mirror image of the original figure along the x-axis. The reflection of a point (x,y) across the x-axis will have the same x-coordinate and opposite y-coordinate.The reflection across the x-axis of Translation 1 is shown below:translation 1, reflection across x-axisThe reflection across the x-axis of Translation 2 is shown below:translation 2, reflection across x-axisThe reflection across the x-axis of Translation 3 is shown below:translation 3, reflection across x-axisHence, the required transformations are:Translation 1: 5 units to the left and 4 units down, followed by a reflection across the x-axis.Translation 2: 4 units to the left and 5 units down, followed by a reflection across the x-axis.Translation 3: 4 units to the left and 5 units down, followed by a reflection across the x-axis.

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a) To convert 2 hours to milliseconds (ms), we can use the fact that there are 3,600,000 milliseconds in one hour. Therefore, multiplying 2 hours by 3,600,000 gives us the answer:

2 hours * 3,600,000 ms/hour = 7,200,000 milliseconds.

b) To convert 1 million seconds to days, we need to divide the number of seconds by the number of seconds in a day. There are 86,400 seconds in a day (24 hours * 60 minutes * 60 seconds). Dividing 1 million seconds by 86,400 gives us:

1,000,000 seconds / 86,400 seconds/day ≈ 11.57 days.

c) To convert 65 miles per hour (mi/hr) to meters per second (m/s), we can use the conversion factor of 1 mile = 1609 meters and 1 hour = 3600 seconds. First, convert miles to meters:

65 mi/hr * 1609 m/mi = 104,585 m/hr.

Then, convert hours to seconds:

104,585 m/hr * (1 hr/3600 s) = 29.05 m/s (rounded to two decimal places).

Therefore, 65 miles per hour is approximately equal to 29.05 meters per second.

d) To convert 1.5 square feet (ft²) to square inches (in²), we need to multiply the number of square feet by the conversion factor of 144 square inches per square foot. Therefore:

1.5 ft² * 144 in²/ft² = 216 in².

Hence, 1.5 square feet is equal to 216 square inches.

In summary, 2 hours is equal to 7,200,000 milliseconds, 1 million seconds is approximately 11.57 days, 65 miles per hour is approximately 29.05 meters per second, and 1.5 square feet is equal to 216 square inches. These conversions involve multiplying or dividing by conversion factors to change units and allow for comparisons between different measurement systems.

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The binomial with degree 2 is 3x + 3x²

A mathematical expression consisting of two terms connected by a plus sign or minus sign.

As, the binomial with degree 2 means the polynomial whose highest power of the coefficient is 2.

Also, binomial is polynomial having two terms.

Hence, the binomial with degree 2 is 3x + 3x².

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Based on the above,  Ebony’s bank balance is $400 was Day 8 and this can be explained below.

Note that the scenario for the above to occur is:

On day 4, her balance = $400

On day 5, her balance = $400

On day 6, her balance = $400

On day 7, her balance = $400

On day 8, her balance = $400

Another fact is that since she deposited 400 at first, on day 8, there will be 0 increase so the amount will still be 400.

Therefore, if the above is the case, one can deduce the fact that her balance will still be $400.

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Answer:

THE Answer Is NO

i hope this will help to you

The better deal of the given pair is $31.05/1. The unit rate is $2.07.

The better deal is the deal that has the lower unit rate. Unit rate is the price per gallon. The unit rate can be determined by dividing the total cost by the total gallons bought.

Division is the operation that is used in mathematics to determine the quotient of two or more numbers. Division entails grouping a number into groups using another number. Other operations used in mathematics are addition, multiplication and subtraction.

Unit rate = total cost / number of gallons

$56 / 25 = $2.24

$31.05 / 15 = $2,07

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Answer:

The yarn used by h number of hats and The yarn used by s number of scarf. hence, the system of equations which represents the situation are:

(1) h+8=20

(2) 4xh=1

Step-by-step explanation:

(a) 5.0000 × 2 = 10.000, which should be rounded to 10 (one significant figure).

(b) 5.0000 × 2.0 = 10.000, which should be rounded to 10 (two significant figures).

(c) 2.5 × 10^(-2) = 0.025, which has two significant figures.

(d) 2.5 × 10^(-2) - 2.500 = -0.000, which should be rounded to 0 (one significant figure).

(e) 5.0000 ÷ 2 = 2.5000, which should be rounded to 2.5 (three significant figures).

(f) 2.5 × 10^(-2) - π = -0.0314159265, which should be rounded to -0.031 (three significant figures).

In each case, the final answer is rounded to the correct number of significant figures based on the least precise number in the calculation. The significant figures represent the meaningful and reliable digits in a number, and they indicate the precision of the measurement or calculation. When performing arithmetic operations, it is important to consider the significant figures and round the result accordingly to maintain accuracy and avoid misleading values.

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The expression 24 - 2x is suitable for the length of the garden as it accounts for the width and represents the remaining length of fencing available for the garden.

To enclose a rectangular garden, three sides need to be fenced, while one side is already adjacent to Mr. Picasso's house. The remaining three sides will consist of two equal lengths for the width and one length for the length of the garden.

Since the total length of fencing available is 24 ft, the width requires two equal sides, each of length x ft, which amounts to 2x ft. Subtracting this width from the total length of fencing gives us 24 - 2x ft, which represents the remaining length available for the length of the garden.

Therefore, 24 - 2x is an appropriate expression for the length of the garden as it takes into account the already utilized length for the width and represents the remaining length available for the garden's length.

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P(Z3)=0.1170 is the likelihood of earning at least 1 gram of extra cereal.A probability seems to be a number that expresses the possibility or probability that a specific event will take place.

The probability is computed by dividing the total possible outcomes by the number of possible ways the event could occur. Probabilistic and odds are two distinct ideas. Odds are the likelihood that something will occur and the variety of outcomes that can result in success. the overall number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping the coin and getting heads is 1 in 2.

Y=1.8945 grams.

Y = 0.8405 grams.

The z-score is the result of dividing the standard deviation by the value that has been decreased by the mean:

z= σx−μ = 0.85053−1.9845≈1.19

Table A can be used to determine the relevant value:

P(Z≥3)=P(Z>1.19)=1−P(Z<1.19)=1−0.8830=0.1170

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The vertex of the parabola shown is (4, -2)

In general, the vertex is (h,k)

So (h,k) = (4,-2) meaning h = 4 and k = -2

The equation of this parabola is y = (x-4)^2 - 2

Answer:

-2 is the correct option you're looking for.

Answer:

5.2

Step-by-step explanation:

CSC (x) , x = π

TAN (x) , x = -π

COS (x) , x = π/2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think that is the answer because 5x5x5=125

Answer:

it is c 125

Step-by-step explanation:

Answer:

C. 3x - y = -2

Step-by-step explanation:

We know that lines with the same slope are usually parallel

3x - y = -2

-y = -3x - 2

y = 3x + 2

They have the same slope so we can assume that they're parallel

You can also graph to check this

The first 84 pages of the book, which is 1. 8 cm thick and has 350 pages, are 0.43176 cm thick.

The thickness of a book varies directly with the number of pages in the book. This means that the thickness and the number of pages are directly proportional to each other.

We can use the formula:
y = kx
where y is the thickness, x is the number of pages, and k is the constant of proportionality.

We can use the given information to find the value of k:
1.8cm = k(350 pages)
k = 1.8cm/350 pages
k = 0.00514cm/page

Now that we have the value of k, we can use it to find the thickness of the first 84 pages of the book:
y = 0.00514cm/page(84 pages)
y = 0.43176cm

The thickness of the first 84 pages of the book is 0.43176cm.

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Answer:

6π Km

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × \(\frac{120}{360}\)

   = 2π × 9 × \(\frac{1}{3}\)

   = 18π × \(\frac{1}{3}\)

  = 6π Km ← exact value

Undercoverage might lead to bias in this study due to the risk of collecting data from a small number of people who feel strongly about the research study in this scenario.

This refers to a type of sampling bias which occurs when the research population aren't adequately represented in the study.

This type of sampling involves getting data from a selected few people who may have the same opinion or view about the study which doesn't depict the true representation of the population.

This makes the study to be biased which is why undercoverage is usually avoided when conducting a research.

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Answer: In mathematics, an algebraic extension is a field extension L/K such that every element of the larger field L is algebraic over the smaller field K; that is, if every element of L is a root of a non-zero polynomial with coefficients in K .[1][2] A field extension that is not algebraic, is said to be transcendental, and must contain transcendental elements, that is, elements that are not algebraic.[3][4]

The algebraic extensions of the field {\displaystyle \mathbb {Q} }\mathbb {Q}  of the rational numbers are called algebraic number fields and are the main objects of study of algebraic number theory. Another example of a common algebraic extension is the extension {\displaystyle \mathbb {C} /\mathbb {R} }{\displaystyle \mathbb {C} /\mathbb {R} } of the real numbers by the complex numbers.

We need to decide whether the given equations are always or never true for values of x .The given equations are ,

solve out for x,

\(\longrightarrow x -x =12+1\\ \)

\(\longrightarrow 0 =13\\ \)

This can never be true. Hence the equation is never true for any values of x.

solve out for x,

\(\longrightarrow x -x =\dfrac{3}{4}+\dfrac{3}{4}\\ \)

\(\longrightarrow 0=\dfrac{3}{2}\)

This can never be true. hence the equation is never true for any values of x.

solve out for x,

\(\longrightarrow 4x +12=8x+12-4x\\\)

\(\longrightarrow 4x -8x +4x =12-12\\\)

\(\longrightarrow 0=0\)

hence this equation is true for all values of x.

solve out for x,

\(\longrightarrow 2x -x -x =8+8\\ \)

\(\longrightarrow 0=0 \)

hence the equation is true for all values of x.

solve out for x,

\(\longrightarrow 2x +10+3x =5x-25\\ \)

\(\longrightarrow 5x -5x =-25-10\\\)

\(\longrightarrow 0 =-35\)

This can never be true. hence the equation is never true for any values of x.

and we are done!

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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"Financial" as it is not an effectiveness MIS metric.

To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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Answer:

y = 35x for expression

350 for the last row part

Step-by-step explanation:

2:70 simplifies to 1:35

With x being the number of tickets (input) and y being the cost (output) you get y = 35x

As for the last row part just plug in the numbers

y = 35(10)

y = 350

My brain went oof on this explanation lol