Use the given conditions to write an equation for the line. Passing through (-8,6) and parallel to the line whose equation is 8x - 3y -4 = 0 The equation of the line is (Simplify your answer. Type an equation using X and y as the variables.

Answer:

Step-by-step explanation:

(16). \(\frac{127.5-110}{15-10}\) = 3.5 m/min.

(17). \(\frac{30-87.5}{30-25}\) = - 11.5 m/min.

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

904.32 cm^3

Step-by-step explanation:

V = (1/3)(pi)r^2h + (1/2)(4/3)(pi)r^3

V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3

V = 904.32 cm^3

The volume of the figure would be the combination of the volume of the cone and the hemisphere that is 904.32 cm^3.

Suppose that the radius of the considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\)

Right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The composite figure is made up of a cone and a half-sphere.

The radius of the half-sphere is 6 cm.

The volume of the figure would be the combination of the volume of the cone and the hemisphere.

The volume of the figure is

\(V = (1/3)(\pi)r^2h + (1/2)(4/3)(\pi)r^3\\V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3\\V = 904.32 cm^3\)

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Answer:

The notation a<b means that a is strictly smaller in size than b , while the notation a>b means that a is strictly greater than b .

Step-by-step explanation:

Answer: B > A

because A is on the left to B and A is not equal to B so B > A

Answer:

Solve the rational equation by combining expressions and isolating the variable x

.

x≈1.89393154

Step-by-step explanation:

please mark brainly

Answer:

2.25

Step-by-step explanation:

When Group A loses an item or items to Group B even though Group A's population grew at a faster rate than Group B's, the Simpson's Paradox occurs.

This statistical anomaly happens when a trend appears in different groups of data, but disappears or reverses when the groups are combined. It is crucial to consider the context and variables involved when analyzing data, as the Simpson's Paradox may lead to incorrect conclusions if only aggregate data is examined.

This paradox serves as a reminder to always investigate the underlying factors that may influence statistical results.

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The table below is a quadratic function.

A quadratic function is an Algebraic function with the power of its variable as 2.

This function normally has three algebraic terms, the x-square term, the x-term and the constant term.

Analysis:

The X-column values increases from -2 to 1, while the f(x) column which is the y-column increase from -9, until it gets to 1, where the value falls to -5.

A typical behavior of an inverted-v curve which is a quadratic curve.

If it were a linear function, as x values increase, y value would either keep increasing or decreasing, it does not change its orientation.

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a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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Answer:

so A= (-4.5,2) and B=(0,-3.5)

Answer:

Step-by-step explanation:

To show that X and Y are independent, we need to check that their joint PMF factorizes into the product of their marginal PMFs, i.e., PXY(k,l) = PX(k)PY(l) for all k,l.

To do this, we need to find the marginal PMFs of X and Y. We can do this by summing over all possible values of the other variable, as follows:

PX(k) = ∑l=1,2,3,... PXY(k,l) = ∑l=1,2,3,... 1/(2^(k+l))

Answer:

Step-by-step explanation:

If triangle ABC is similar to triangle DEF, then:

                                                                    \(\dfrac{AC}{DF}=\dfrac{BC}{EF}\)

Therefore:

\(\dfrac{x}{5}=\dfrac{12}{4}\\\\\dfrac{x}{5}=3\\\\x=15\)

Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.

The interest Juana would have to pay in 20 days can be calculated using the formula:

Interest = Principal × Interest Rate × Time

In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.

Using the formula and substituting the values:

Interest = $10,686.00 × 0.0579 × (20/365)

Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.

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Answer: Y = 7/2x -5

Step-by-step explanation:

slope intercept equation:

y = mx + b

plug in what you are given

y = (7/2)x (-5)

The approximate solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).

The solution of the equation is between x = 4 and x = 5. Now we begin by evaluating each side of the expression (f(x) = x² - 5 · x + 4, g(x) = 2 / (x - 1)) at the average of x = 4 and x = 5.

x = (4 + 5) / 2

x = 4.5

f(4.5) = 4.5² - 5 · 4.5 + 1

f(4.5) = - 5 / 4

g(4.5) = 2 / (4.5 - 1)

g(4.5) = 4 / 7

The solution of the equation is between x = 4.5 and x = 5, then we evaluate at the average:

x = (4.5 + 5) / 2

x = 4.75

f(4.75) = 4.75² - 5 · 4.75 + 1

f(4.75) = - 3 / 16

g(4.75) = 2 / (4.75 - 1)

g(4.75) = 8 / 15

The solution of the equation is between x = 4.75 and x = 5, then we evaluate at the average:

x = (4.75 + 5) / 2

x = 4.875

f(4.875) = 4.875² - 5 · 4.875 + 1

f(4.875) = 25 / 64

g(4.875) = 2 / (4.875 - 1)

g(4.875) = 16 / 31

The approximate solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).

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Answer:

−2.

Step-by-step explanation:

y = 4 − 2x? b is the y -intercept. Here, 4 is b and −2 is m. Therefore, the slope is −2.

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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False.

In linear regression, the link function is not used to link the mean of the dependent variable to the linear term.

The link function is used in generalized linear models (GLMs), which extends linear regression to handle different types of response variables with non-normal distributions.

In linear regression, the relationship between the dependent variable and the independent variables is assumed to be linear, and the aim is to find the best-fitting line that minimizes the sum of squared residuals. The mean of the dependent variable is directly related to the linear combination of the independent variables, without the need for a link function.

In generalized linear models (GLMs), on the other hand, the link function is used to establish a relationship between the linear predictor (the linear combination of the independent variables) and the mean of the response variable. The link function introduces a non-linear transformation that allows for modeling different types of response variables, such as binary, count, or continuous data, with non-normal distributions. Examples of link functions include the logit, probit, and identity functions, among others.

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Answer: 143.46

Step-by-step explanation:

If she made $100 a week that would be 400 for the 4 weeks

400 minus all she spent

400-50.2-65.1-115.3-10

=159.4

then 1/10 goes to donation to find a fractional portion multiply fraction by #

=1/10 * 159.40 =15.94  is what she donated

159.4-15.94= 143.46 is what is left

Step-by-step explanation:

Adam's bonus

30/100= 0.3

0.3 *80=24

therefore Adam's bonus is £24

since Katy bonus is £28

The difference between the bonus Adam gets and the bonus Katy gets

£28 -£24 =£4

In linear regression, we are trying to forecast the dependent variable based on the independent variable.

Option C is the correct answer.

We have,

In linear regression, the dependent variable is the outcome variable or the response variable that we want to predict or explain, while the independent variable is the predictor variable or explanatory variable that helps us in predicting the dependent variable.

The beta parameter and y-intercept are coefficients of the linear regression equation that help in determining the relationship between the dependent and independent variables.

Thus,

In linear regression, we are trying to forecast the dependent variable based on the independent variable.

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Answer:

$1281.39

Step-by-step explanation:

use formula given

Answer:

The given equation is:

(1/3) – ÷ 27 = x

We can simplify it as follows:

(1/3) - (1/27) = x

8/27 = x

So, the value of x is 8/27.

We can substitute this value of x in each equation to see which one gives a true statement.

A. -27 × 3 = -81 ≠ 8/27

B. -27 ÷ 3 = -9 ≠ 8/27

C. -1 ÷ (27 ÷ 3) = -1/9 ≠ 8/27

D. -1 ÷ (27 × 3) = -1/81 ≠ 8/27

Therefore, none of the given equations could be solved to find x.

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Answer:

m = -10.7

Step-by-step explanation:

m + 4.1 = -6.6

Subtract 4.1 from both sides:

m + 4.1 = -6.6

    - 4.1    - 4.1

m = -10.7

Final answer: m = -10.7

Hope this helps!

The function y(x) satisfying dy/dx = 6x^(-12/13) and y(-1) = -8 is:
y(x) = 6(13x^(1/13)) + 70

To find the function y(x) that satisfies the given conditions, we need to integrate the given differential equation, dy/dx = 6x^(-12/13). Then, we can use the initial condition y(-1) = -8 to find the constant of integration.

First, integrate the equation with respect to x:

∫(dy/dx) dx = ∫(6x^(-12/13)) dx

y(x) = 6∫(x^(-12/13)) dx

Using the power rule for integration, we get:

y(x) = 6[(13/1)x^(-12/13+13/13)] + C

y(x) = 6(13x^(1/13)) + C

Now, use the initial condition y(-1) = -8:

-8 = 6(13(-1)^(1/13)) + C

-8 = 6(-13) + C

C = -8 + 78 = 70

So, the function y(x) satisfying dy/dx = 6x^(-12/13) and y(-1) = -8 is:

y(x) = 6(13x^(1/13)) + 70

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Answer:

Equation of line l,

3x-4y=1/2

y=3/4x-1/2

we get,

slope of line l =3/4

Equation of line m,

x-5=2y

y=1/2-5/2

Hence slope of line m=1/2

Slope of line l is not equal to slope of line m. Hence the line are not parallel.

Slope of line l* slope of line m ,

(3/4)*(1/2) =3/8

Since the product of slope of line l and the slope of line m is not equal to -1, the lines are not perpendicular.

Hence the lines are neither perpendicular nor parallel..

Answer:

none are parallel

Step-by-step explanation:

Answer:

x = 127

Step-by-step explanation:

The angles are alternate exterior angles  and alternate exterior angles are equal when the lines are parallel

x = 127