-3x+2y=9 X-3y=4 solve this system of equations by using the scientific method, the ordered pair of solutions is written in the format (x,y)

Answer:

[tex]\textsf{Slope}=\dfrac{3}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]2y=3x+4[/tex]

Rearrange the equation to make y the subject by dividing both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{3x+4}{2}[/tex]

[tex]\implies y=\dfrac{3x}{2}+\dfrac{4}{2}[/tex]

[tex]\implies y=\dfrac{3}{2}x+2[/tex]

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Compare the rearranged equation with the slope-intercept formula.

Therefore:

The term that refers to meeting the needs of the present generation without compromising the ability of future generations has been sustainability.

This has been a development that focuses on meeting the needs that arise today without compromising the resources of the following generations.

Sustainability is of paramount importance because:

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The probability that a given student is on financial aid, given that he or she is a graduate is 0.72

Probability is the measure of the likelihood of an event occurring. In other words, it is a numerical representation of the chance that a particular event will happen.

Probability (graduate student is on financial aid) = number of (graduate student is on financial aid / total number of graduate students

Tota number of graduate students = 1879+ 731 =  2610

P(Financial Aid | Graduate) = 1879 / 2610 = 0.72

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Answer:

30%

Step-by-step explanation:

The price of the item increased by $24 from yesterday to today, which represents a 30% increase. To calculate this, divide the increase in price by the original price and multiply the result by 100%:

$24 / $80 x 100% = 30%

Therefore, the percentage increase in the price of the item from yesterday to today is 30%.

Answer:

x=9

Step-by-step explanation:

x=9

To find out what is a solution for x<8  you have to plug in all the answer choices for x.

When you plug in -3, you get -3<8 and 8 is bigger than -3, so then that makes it a solution because -3 is less than 8 and when you plug it in it sets the equation right.

When you plug in 7.95, you get 7.95<8 and 8 is bigger than 7.95 by a few but it still is bigger so then it's a solution because 7.95 is less than 8 making it a solution.

When you plug in 4.3, you get 4.3<8 and 8 is bigger than 4.3 so then it's  a solution because it sets the equation right.

When you plug in 9, you get 9<8 and that's not right because 8 isn't bigger than 9, setting this answer choice as a non-solution to the inequality.

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As per the graph of H(w) when w draws near to no the worth of H(w) gets extremely high.

The graph of a function f  is the arrangement of all places in the plane of the structure (x, f(x)). We could likewise characterize the diagram of f to be the chart of the situation y = f(x). In this way, the chart of a capability if an exceptional instance of the diagram of a situation.

Think about the gave diagram of H(w)

If we observer the diagram of the function H(w) we reasoned that as the worth of w pushes toward 0 the worth of H(w) increments quickly.

The worth of H(W) is getting increasingly high when we are moving towards 0.

So, we can say that

When W → 0, H(w) → ∞

Thus, As per the chart of H(w) when w draws near to no the worth of H(w) gets extremely enormous.

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Answer: D

8x + 1x + 1 x - 2y

The slope of the line between these two points is $.06 / lb which is defined as the ratio of vertical extrade among points, the rise, to the horizontal extrade.

The slope is described because the ratio of the vertical extrade among points, the rise, to the horizontal extrade among the equal  points, the run. . A slope with a extra absolute price shows a steeper line. The course of a line is both increasing, decreasing, horizontal or vertical. If a line is horizontal the slope is zero.

Let X1 = 2.1 pounds, Y1 = $3.4 and

X2 = 70 pounds, Y2 = $7.5

ΔX = 70 - 2.1 = 67.9

ΔY = 7.5 - 3.4 = 4.1

Slope (m) = ΔY / ΔX

= 4.1 / 67.9

= 0.060382916053019

= 0.06 (Rounded)

Therefore, answer is Option $.06 / lb.

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Answer:6019.2

Step-by-step explanation: what you want to do is divide 72,230.4 by 12 and you'll get 6019.2

The variance of the number of hurricanes in a randomly selected year is 12.5 .

Mean number of hurricanes in a randomly selected year =

0.1 × 20 + 0.3 × 15 + 0.6 × 10 = 12.5

Now, since the sum of independent Poisson random variables also follows Poisson distribution.

Thus, the variance of the number of hurricanes in a randomly selected year = Mean = 12.5

In both statistics and probability theory, variance is the predicted squared deviation of a binomial distribution from its sample proportion or sample mean.

Dispersion, or how far apart from the mean a set of data are from one another, is measured by variance. A few ideas that involve variance are descriptive research, statistical inference, testing hypotheses, goodness of fit, and Monte Carlo sampling.

The variance of a set of uncorrelated explanatory variables is equal to the sum of their variances, making it easier to manipulate mathematically than other measures of dispersion like anticipated absolute deviation.

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A psychologist selects a random sample of 25 handicapped students and measures their manual dexterity scores, then if she wants to improve her precision she should use a larger sample size.  

Each sample has an equal chance of being chosen as part of the sampling procedure known as random sampling. A randomly selected sample is intended to be a fair reflection of the entire population. By increasing sample size, you can improve the accuracy of your estimates, which means that the result will be more "statistically significant" for any given estimate or size of effect. The accuracy of the average results will increase with sample quantity. Smaller error margins and the identification of outliers in the data are two further benefits of larger sample sizes.

If they observe an effect that is almost significant, some researchers decide to increase their sample size. This is done rather than concluding that there is no effect because the researcher believes he is short on samples. Because the standard error is reduced as sample size increases, confidence intervals are narrower. c) The statement "there is a 95% likelihood that the population mean is between 350 and 400" is similar to the statement "there is a 95% confidence interval for the population mean is (350, 400)".

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Correct Question:

A psychologist selects a random sample of 25 handicapped students and measures their manual dexterity scores. she uses this data to test the hypothesis that the mean dexterity score is different than 45. What would you advise her?

The correct answer is option B.

The observation of a giant storm on Saturn from spacecraft Cassini indicates that lightning was not detected in the giant storm.

Usually Mega storms on Saturn happen on every 20 to 30 years.

Through the Cassini spacecraft, scientists could see a massive storm in December 2010. They saw that the storm waves were spreading from the planet's centre and that it was seen as a ringed globe.

The storm waves covered the whole surface of Saturn and had a diameter of around 190,000 miles or 300,000 kilometres.

Simply said, this enormous storm is also known as the Great Northern Storm or the Great White Spot.

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A real-life representation of the following fraction 12/49 =0.24 is that 12kg or rice is to be shared among 49 friends. How many kg will each person get?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

In this case, the real-life representation of the following fraction 12/49 =0.24 is that 12kg or rice is to be shared among 49 friends. How many kg will each person get?

This is illustrated as 12/49.

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The best description of the dot plot is;  median scores are the same for both players

A dot plot is defined as a simple plot that displays data values as dots above a number line. Now, dot plots show the frequency with which a specific item appears in a data set. Dot plots shows the distribution of the data.

The median of a data set is simply defined as the value in the middle of that same data set when arranged in ascending order.

From player 1, the data set when arranged in ascending order are;

8, 10, 10, 10, 12, 12, 14, 16, 16

In this case, the exact middle term is 12 which will be the median

For player 2, the data set when arranged in ascending order are;

0, 2, 6, 10, 12, 16, 18, 22, 22

In this case, the exact middle term is 12 which will be the median.

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The LCD of the given number set is; B: 108

The least common denominator (LCD) is defined as  the smallest number that is a common denominator for a given set of fractions or numbers.

Now, we are given the number set as;

27, 54, 9, 108

Let us break down these into their respective products in terms of the prime numbers to get;

27 = 3 * 3 * 3

54 = 2 * 3 * 3 * 3

9 = 3 * 3

108 = 3 * 3 * 3 * 2 * 2

Thus, the LCD = 3 * 3 * 3 * 2 * 2 = 108

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In a hexagonal-close-pack (HCP) unit cell, the ratio of lattice points to octahedral holes to tetrahedral holes =  1 : 1 : 2 is AB3

let the :

Number of lattice point = 1x.

Number of octahedral points = 1x

Number of tetrahedral  points = 2x

If anions occupy the HCP lattice points and cations occupy half of the octahedral holes.

Number of anions occupying the HCP lattice points, A= 1x

Number of cations occupying the octahedral points, B =  1x

The formula of the compound will be =

If anions occupy the HCP lattice points and cations occupy all of  the octahedral and the tetrahedral holes.

Number of anions occupying the HCP lattice points, A= 1x

Number of cations occupying the octahedral points, B =  x

Number of cations occupying the tetrahedral points, B =  2x

total number of cations = x + 2x = 3x

The formula of the compound will be = AB3

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a positive radial velocity means the object is moving [x] the observer, while a negative velocity means the object is moving [y] the observer ,x away from, y towards

Radial velocity is the velocity of an object in the direction of an observer. A positive radial velocity means the object is moving away from the observer, while a negative velocity means the object is moving towards the observer.Radial velocity is the speed of an object in a particular direction, as observed from an observer. It is measured in the direction towards or away from the observer. A positive radial velocity means the object is moving away from the observer, in a direction radially outward from the observer. A negative radial velocity means the object is moving towards the observer, in a direction radially inward from the observer.

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When the following code section runs, the value of the variable y will be -2.

Given that,

We have to find when the following code section runs, what value will the variable y have? Assume the following input values:

The code mentioned above is explained in the section below.

Here, x=5, n=0, and the input values are 1–6.

So, x>3 is true.

Control will go to second if block and input y and z.

Now y=1 and z=2 and n=1

Next control goes to if(x) since x>0 which is true.

Now z=3 and x=4 and y=0 and n=0

Her n==0 so r=z- ++x => 3- (5) =>-2.

Hence r=-2

Therefore, the variable r=-2 is the output for the code.

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Expected frequencies must be equal for all groups is correct option.

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We can say that the role of galaxies, planets, satellites, comets and asteroids, in the conformation of the universe, is based on being elements to structure it.

In physics, it is mentioned that the universe is all physical existence that exists, this goes from our planet to what is found abroad.

Within the universe, as an entity, how to find different elements that structure it, for example, we have:

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Answer:

$936.91

Step-by-step explanation:

To find the monthly payment required to save up $220,000 using an annuity with an APR of 8.0% compounded annually over 30 years, we can use the following formula:

payment = (goal * rate) / (1 - (1 + rate) ^-n)

In this formula, "goal" is the savings goal, "rate" is the monthly interest rate, and "n" is the number of payments.

To find the monthly payment, we need to first convert the annual interest rate to a monthly rate by dividing it by 12:

rate = 8.0% / 12 = 0.0067

Next, we need to find the number of payments by multiplying the number of years by the number of payments per year:

n = 30 years * 12 payments/year = 360 payments

Substituting these values into the formula, we get:

payment = (goal * rate) / (1 - (1 + rate)^-n)

= (220,000 * 0.0067) / (1 - (1 + 0.0067)^-360)

= $936.91

The monthly payment required to save up $220,000 using an annuity with an APR of 8.0% compounded annually over 30 years is $936.91.

Step-by-step explanation:

3 2/15 - 2 5/12

4 - 25

1____________ = (60+4) - 25/60

39/60

60

2/43 * 39/60

=78/2580

The value of the reciprocal fraction is A = 30/1 = 30

The fraction obtained by swapping or interchanging Numerator and Denominator with each other is known as the Reciprocal of the given fraction. The product of reciprocals is 1.

Given data ,

Let the value of the reciprocal fraction be represented as A

Now , the equation will be

Let the first fraction be represented as p

Now , the value of p = 3 2/15

On simplifying , p = 47/15

Let the second fraction be represented as q

Now , the value of q = 2 5/12

On simplifying , q = 29/12

Now , the equation is B = p - q

Substituting the values in the equation , we get

B = ( 47/15 - 29/12 )

B = 43/60

Now , ( 2/43 ) of the value of A is given as

C = ( 2/43 ) ( 43/60 )

On simplifying the equation , we get

C = ( 2/60 )

C = ( 1/30 )

Now , the reciprocal fraction is given as

A = 30/1

A = 30

Hence , the reciprocal fraction is A = 30/1

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Here are different ways to express 910 as the product of two positive integer coefficients:

1 x 910, 2x455, 5x182, 10x91, 13x70, 15x61, 26x35, 30x31

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Answer: 100

Step-by-step explanation:

You can set up the equation:

50 / (1/2)

Dividing by 1/2 is thhe same as multiplying by 2.

50 / (1/2) = 100

50(2) = 100

11

According to question

-5xy²+7x²y+3y³-8x³

putting x=2 and y=3

⇒ -5(2)(3)²+7(2)²(3)+3(3)³-8(2)³

⇒-5(18)+7(12)+3(27)-8(8)

⇒-90+84+81-64

∴  11

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The correct question is find the value of equation if x=2 and y=3 , -5xy² + 7x²y+3y³ - 8x³

Some activities carried out in my municipality that produce greenhouse gases are:

There are many activities that produce these types of gases, some are:

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