Explain how it is possible to determine whether the graphs of 5x−3y=2 and 5x-3y=8 are parallel without doing any calculations

Refer to the attachment for figure:

The height of the rectangle = 11 inches

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Let x= height

Width becomes x+49

Diagonal BD=61 inches

By pythagoras theorem,

BD²=BC²+CD²

61²= (x+49)²+x²

3721=x²+98x+2401+x²

On simplification,

x²+49x-660=0

Find the factors

(x+60)(x-11)=0

x=-60, x=11

Consider positive value for height

height = 11 inches

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Answer:

You are correct

rise: go down 2 which is -2

run: to right 3 which is 3

so the slope is -2/3

Answer:

i think its 3/2 and -3/2.

Step-by-step explanation:i

at the top it says 2 can be eliminated, aka , its asking which are the WRONG answers.

the correct answer is -2/3 and 2/3. this is because when you move up and left, (positive direction) it goes up 2, and left 3. now lets turn this around to check the other. -2/3 goes down 2 and right 3. so if you look the way its going in the negative direction (down, right) it goes down 2 and to the right 3.

The value of m arc Q I=94°

a continuous section of an arc, which is a curved line that forms a portion of a circle of  circumference. a blazing passage of electricity  electrodes through between a gap in a circuit o that called a curved rout

arcs have two properties is the easiest way . They have length as a component of circumference and, based on the associated central angle, they also have a detectable curvature.

Given arc m Y S=180°,m∠Q B I=137°

We know that,

\(mQBI =\frac{1}{2} (m arcYS+marcQI)\\137=\frac{1}{2} (180+marcQI)\\274=180+marcQI\\marcQI=274-180\\marcQI=94\)

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Answer:

n= 5x each time

Step-by-step explanation:

=

Increase the number of cases as much as possible. This is the most obvious way to minimize the problem, but it is often not possible due to practical constraints. Focus on the most important variables. This involves carefully selecting the variables that are most likely to be related to the outcome of interest.

Use statistical controls. This involves using statistical techniques to account for the effects of other variables that may be correlated with the independent and dependent variables. Use case studies. Case studies can be used to provide in-depth analysis of a small number of cases. This can be helpful for understanding the causal mechanisms behind a particular phenomenon.

The many variables, small N problem refers to the difficulty of conducting comparative research when there are a limited number of cases and a large number of potential variables to consider. This can make it difficult to isolate the effects of any one variable, and can lead to spurious results.

Lijphart's four methods can be used to minimize the effects of this problem. Increasing the number of cases is the most effective way to do this, but it is often not possible. Focusing on the most important variables can also be helpful, but it is important to be aware of the potential for omitted variable bias. Using statistical controls can help to account for the effects of other variables, but it is important to choose the controls carefully. Case studies can provide in-depth analysis of a small number of cases, but they are limited in their ability to generalize to other cases.

In practice, it is often necessary to use a combination of these methods to minimize the effects of the many variables, small N problem.

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The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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The exponential function f with f(2) = 3 and a doubling time of 5 results in f(27) = 096.

To find f(27) given that f(2) = 3 and the doubling time is 5, we can use the general form of an exponential function: f(x) = a * (2^(x/d)), where a represents the initial value, x is the input value, and d is the doubling time.

Given that f(2) = 3, we can substitute these values into the exponential function equation: 3 = a * (2^(2/5)).

To find the value of a, we can solve the equation for a: a = 3 / (2^(2/5)).

Now, we can substitute a into the exponential function to find f(27): f(27) = (3 / (2^(2/5))) * (2^(27/5)) = 096.

Therefore, the value of f(27) is 096.

---

Supporting answer:

In this problem, we are given an exponential function with an initial value of f(2) = 3 and a doubling time of 5. The doubling time represents the time it takes for the function to double its value. We can use the general form of an exponential function, f(x) = a * (2^(x/d)), to find the value of f(27).

Substituting the given values, we have 3 = a * (2^(2/5)). To solve for a, we divide both sides of the equation by (2^(2/5)): a = 3 / (2^(2/5)).

Now, we can substitute the value of a into the exponential function to find f(27). By plugging in x = 27, we get f(27) = (3 / (2^(2/5))) * (2^(27/5)). Evaluating this expression gives us f(27) = 096.

Therefore, the value of f(27) is 096, which is the answer.

In summary, the exponential function f with f(2) = 3 and a doubling time of 5 results in f(27) = 096.

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Step-by-step explanation:

The given exponential functions are classified as exponential growth or exponential decay above.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to check whether the given functions represent exponential growth or decay.

We can write the classified functions as -

{ 1 }.   y = 500(0.30)ˣ                     exponential decay

{ 2 }.  y = 500(1.70)ˣ                      exponential growth

{ 3 }.  y = 0.3(500)ˣ                       exponential growth

{ 4 }.  y = 500(0.30)ˣ - 6               exponential decay

{ 5 }.  y = 0.3(1.7)ˣ - 2                    exponential growth

{ 6 }.  y = 500(0.30)ˣ ⁺ ⁸               exponential growth

{ 4 }.  y = 500(0.30)ˣ ⁻ ⁶               exponential decay

Therefore, the given exponential functions are classified as exponential growth or exponential decay above.

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Answer:

C

Step-by-step explanation:

16's square root is 4

Answer: .8561

Step-by-step explanation: If you make them the same number by adding a 0 to .856 it would look like

.8561

.8560

Answer:

I think it would be .856

Step-by-step explanation:

0.5 is greater than 0.05. There are many ways to deduce this:

The more the # of zeroes after the decimal point the smaller the number is. Suppose there are x number of extra zeroes after the decimal point in number a than number b. Then, b is 10^x times larger than a.

Multiply both numbers by 100. we can see 0.5*100 (=50) > 0.05*100 (=5)

Fractionalize both numbers, we get 0.5=(5/10) but 0.05=(5/100). This makes 0.05<0.5

Thanks for reading. Hope this helps. And maybe can i have brainliest?

Answer:   the word form of 617,920 is six hundred seventeen thousand nine hundred twenty.

Step-by-step explanation:

If function f(x) = \(x^2\) + 4x -1, then the value of g(x)= f(x+4) = \(x^2\) + 12x +31

The function is

f(x) = \(x^2\) + 4x -1

The function is the expression that represents the relationship between one variable and another variable. If one variable is dependent variable then the another variable is independent variable.

The value of g(x) = f(x+4)

First we have to find the value of f(x+4)

Substitute the values in the function

f(x) = \(x^2\) + 4x -1

f(x+4) = \((x+4)^2\) + 4(x+4) - 1

= \(x^2\) + 8x +16 + 4x+16 - 1

Rearrange the terms and combine the like terms

= \(x^2\) + 8x+4x + 16+16-1

= \(x^2\) + 12x +31

Hence, if function f(x) = \(x^2\) + 4x -1, then the value of g(x)= f(x+4) = \(x^2\) + 12x +31

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Answer:

Its a binomial because there are only 2 terms. and 1 sign telling you to do work

Step-by-step explanation:

Fot the two random samples of customers from Internet provider, a) The null and alternative hypothesis are \(H_0 : \mu_1 = \mu_2 \\ H_a : \mu_1< \mu_2\).

b) The appropriate test that we will use is Two sample t-test.

We have an independent random sample with sample size from provider A, n₁ = 8

Sample size for provider B, n₂ = 10

Sample mean for sample A, \(\bar X_1\) = 35.2 years

Standard deviations, s₁ = 8.2

Sample mean for sample B, \(\bar X_2 \) = 38.4 years

standard deviations, s₂ = 5.8

Level of significance, a = 10% = 0.10

a) Now, we have check the claim that the average age for customers is less for those using Internet provider A than for Internet provider B, is true or not. Consider the null and alternative hypothesis are defined as \(H_0 : \mu_1 = \mu_2 \\ H_a : \mu_1< \mu_2\).

b) As we have two samples with all details like mean, standard deviations, etc. So, to check the validity of null hypothesis we will use two sample t test. The test statistic value is written as

\(t = \frac{ \bar X_1 - \bar X_2 }{\sqrt{s_p²(\frac{1}{n_1}+\frac{1}{n_2}})}\), where Pooled standard deviations,\(s_p =\frac{( n_1 - 1)s_1² + (n_2 - 1)s_2²}{n_1 + n_2 - 2} \).

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Answer:

\(4x + 5 = 1 + 5x \\ 5 - 1 = 5x - 4x \\ x = 4\)

Answer:

Step-by-step explanation:

\(4x+5=1+5x\)

\(4x+5-5=1+5x-5\)

\(4x=5x-4\)

\(4x-5x=5x-4-5x\)

\(-x=-4\)

\(\cfrac{-x}{-1}=\cfrac{-4}{-1}\)

\(x=4\)

Answer:

The answer is that she will get 750 dollars

Step-by-step explanation:

alr so 1/4 of the money is 500 so to get the whole amount u multiply by 4 to get 2000 then divide that bye 8 to get 1/8 of the money and multiply it by 3 to get 3/8's. So simple.

Answer:

The mother will get:

$750

When the father recieved $500

Except it would help if new CERTAIN amount of Mr. Lee's money.

Your welcome!

Step-by-step explanation:

No need to explain right answers! lol

Have a great week!

Thank you and your welcome!

~BYE HAPPY HELPER~

The denominator of the next term in the given Geometric Sequence is 162.

We have been given the following Geometric Sequence whose first four terms are as follows: 1/2, 1/6, 1/18, 1/54

To find the denominator of the next term in the given Geometric Sequence, we need to find the common ratio between consecutive terms of the sequence.

This can be done by dividing any term in the sequence by its previous term or any term after it by its previous term. Therefore, let's divide the second term by the first term:

{1/6}/{1/2} = 1/6. 2/1 = 3

Thus, the common ratio between consecutive terms of the sequence is 1/3.

Now we can use the formula for the nth term of a geometric sequence, where a1 is the first term and r is the common ratio between consecutive terms. This formula is given by:

aⁿ = a₁ rⁿ⁻¹

We need to find the denominator of the next term in the sequence, i.e. the term with index n=5.

We can see that the first term is 1/2 and the common ratio is $1/3. Therefore, the fifth term can be calculated as follows:

a₅ = 1/2 1/3⁴ = 1/2 1/81

= 1/162

Therefore, the denominator of the next term in the given Geometric Sequence is 162.

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Answer:

4c² + 11cd + 5d

Step-by-step explanation:

To add monomials, you have to look at the variables that are accompanied by their coefficients. In the given problem, (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd), you can combine both cd ut nt cd and c² and cd and d and d and c² because they have different variables.

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)  

(-4c² + 8c²) + (7cd + 4cd) + (8d - 3d)

4c² + 11cd + 5d

Answer:

4,11,5

Step-by-step explanation:

Disagree, because a polygon has to have sides to be a polygon. A circle has no defined sides to categorise it as such. A circle is a closed system, but can be seen as a cycle that lasts until the world ends. Like infinity, a circle is infinite by definition because it goes on forever. Like the polygon comparison, a circle is technically in a different category. Infinity is typically described as a time full of endless possibilities while a circle is just that, a cycle that will repeat itself over the course of forever.

So still disagree on that argument. Please tell me this is for a Philosophy class or something, because having this as a math problem is horrible.

The true statements about the graph are as follows;

Given

The graphs of y = 4x - 2 and y = 2x – 6.

A  system of equations, also known as a set of simultaneous or an equation systems, is a finite set of equations for which we sought the common solutions.

To solve the graphs subtract equation 1 from equation 2.

\(\rm y-y=4x-2-2x+6\\\\0=2x+44\\\\2x=-4\\\\x=\dfrac{-4}{2}\\\\x=-2\)

Substitute the value of x in equation 1

\(\rm y=4x-2\\\\y=4(-2)-2\\\\y=-8-2\\\\y=-10\)

The point (-2.-10) is the only solution.

The true statements about the graph are as follows;

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We are given the iterated integral:

∫(y=0 to 1) ∫(x=0 to 2-y^2) 6(x + y) dx dy

To convert this to polar coordinates, we need to express x and y in terms of r and θ. We have:

x = r cos(θ)

y = r sin(θ)

The limits of integration for y are from 0 to 1. For x, we have:

x = 2 - y^2

r cos(θ) = 2 - (r sin(θ))^2

r^2 sin^2(θ) + r cos(θ) - 2 = 0

Solving for r, we get:

r = (-cos(θ) ± sqrt(cos^2(θ) + 8sin^2(θ)))/2sin^2(θ)

Note that the positive root corresponds to the region we are interested in (the other root would give a negative radius). Also, note that the expression under the square root simplifies to 8cos^2(θ) + 8sin^2(θ) = 8.

Using these expressions, we can write the integral in polar coordinates as:

∫(θ=0 to π/2) ∫(r=0 to (-cos(θ) + sqrt(8))/2sin^2(θ)) 6r(cos(θ) + sin(θ)) r dr dθ

Simplifying and integrating with respect to r first, we get:

∫(θ=0 to π/2) [3(cos(θ) + sin(θ))] ∫(r=0 to (-cos(θ) + sqrt(8))/2sin^2(θ)) r^2 dr dθ

= ∫(θ=0 to π/2) [3(cos(θ) + sin(θ))] [(1/3) ((-cos(θ) + sqrt(8))/2sin^2(θ))^3 - 0] dθ

= ∫(θ=0 to π/2) [1/2sqrt(2)] [2sin(2θ) + 1] dθ

= (1/2sqrt(2)) [(1/2) cos(2θ) + θ] (θ=0 to π/2)

= (1/2sqrt(2)) [(1/2) - 0 + (π/2)]

= (π + sqrt(2))/8

Therefore, the value of the iterated integral, when converted to polar coordinates, is (π + sqrt(2))/8.

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The probability of waiting between 10 and 15 minutes at the Maryland Department of Motor Vehicles (DMV), given an exponential distribution with an expectation of 10 minutes.

The median waiting time, which represents the 50th percentile of the waiting time distribution, can be found by solving the equation involving the CDF of the exponential distribution. In this case, the median waiting time is approximately 6.9315 minutes.

The exponential distribution is often used to model the time between events that occur at a constant rate independently of past occurrences.

The parameter of the exponential distribution is the expectation or mean, which is given as 10 minutes in this case.

The probability of waiting between 10 and 15 minutes can be calculated by subtracting the probability of waiting less than 10 minutes from the probability of waiting less than 15 minutes.

This can be done using the CDF of the exponential distribution. Plugging in the appropriate values, the probability is approximately 0.0916, or 9.16%.

The median waiting time represents the time at which 50% of the waiting times are less than or equal to the median. In the exponential distribution.

The median can be calculated by solving the equation 1 - e^(-λt) = 0.5, where λ is the rate parameter of the distribution and t is the median waiting time.

In this case, the rate parameter is 1/10, as the expectation is 10 minutes. Solving the equation gives us t ≈ 6.9315 minutes, which is the median waiting time at the Maryland DMV.

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Answer:

i think its statistical

Step-by-step explanation:

The scale factor of this dilation include the following: B) 3/5.

In Mathematics and Geometry, a scale factor can be determined through the division of the side length of the image (new figure) by the side length of the original or actual geometric figure (pre-image).

Mathematically, the formula for calculating the scale factor of any geometric object or figure is given by:

Scale factor = side length of image/side length of pre-image

By substituting the given side lengths into the scale factor formula, we have the following;

Scale factor = B'/B

Scale factor = 3/5.

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The width of two-sided confidence interval decreases as the sample size increases and increases as the confidence level increases.

Confidence interval : In Statistic, confidence interval is a range of estimates for unknown parameters.

The formula for the interval can be expressed as:

Confidence Interval (CI ) = X bar +_ Z( S/√n)

Where,

X bar ---> the sample mean

S ---> the sample standard deviation

n --> the sample size Z---> Z-value which comes from normal distribution

From the formula we can conclude the below points about confidence interval :

So, Confidence interval varies with sample mean, confidence level and standard deviations.

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Step-by-step explanation:

I think this is the answer