pleaseeeeee help me with this.

Answer:

Step-by-step explanation:

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)

The probability that an international flight leaving United States is delayed in departing given the flight is a transpacific flight is 0.24.

The probability of an event is defined to be the ratio of the number of cases favourable to the event—i.e., the number of outcomes in the subset of the sample space defining the event—to the total number of cases.

Given:

Now, the event is the intersection of events D and P,

P( D ∩ P ) = 0.12.

So, using the conditional probability  P(D|P) we have

P(D|P) = P ( D ∩ P ) / P(P).

P(D|P)

= 0.12%/0.5

= 0.24.

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The first equation 3(3x - 4) = 24 can be solved for x as follows:

3(3x - 4) = 24

9x - 12 = 24

9x = 36

x = 4

So, if Messi hit the target, he would score 4 points.

The second equation 6.8 (2.3x + 5.7) = 132.6 can be solved for x as follows:

6.8 (2.3x + 5.7) = 132.6

2.3x + 5.7 = 132.6 / 6.8

2.3x + 5.7 = 19.55

2.3x = 13.85

x = 6

So, if Ronaldo hit the target, he would score 6 points.

Answer: 5x-1

Step-by-step explanation:

Answer:

its 3, 60x-12=6(10x-2) all real numbers are solutions for x

Step-by-step explanation:

Answer:

A line parallel has the same slope, so -3

The slope of the line that is parallel to line f is -3.

The given line f has a slope of -3.

We need to find the slope of the line that is parallel to line f.

The slope of parallel lines. The slope of parallel lines is equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as \(m_{1}\), \(m_{2}\) then we have \(m_{1}=m_{2}\).

So, the slope of the parallel line=-3

Therefore, the slope of the line that is parallel to line f is -3.

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The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.

we have to standardize the values and utilize the standard typical dispersion table or calculator.

To discover the z-scores for 4.0 and 6.0  minutes:

z1 = (4.0 - 6.0  ) / 0.70 = 2.8

z2 = (4.5 - 6.0  ) / 0.70= 2.1

Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:

P(0 ≤ Z ≤ 2.1) = 0.4332

However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.

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1.20 If the system has three unknowns and R has three nonzero rows, then the system has at least one solution.

This statement is true.

1.21 It is only when the rank of the coefficient matrix is less than the number of unknowns that the system can have infinitely many solutions

1.22 The system below has an infinite number of solutions:

2x + 3y + 5z + 6 - 7 - 8v = 0

3x - 4y + 7z + + 8 + 5y = 0

-7x + 9y - 2z -- 4w - 5u + 2y = 0

--5x - 5y +92 +3w + 2u + 7y = 0

-9x + 3y - 9z+5w - 3u - 4y = 0

This statement is true.

When we perform row reduction on a system of linear equations, the resulting reduced row echelon form (R) will have the same number of nonzero rows as the rank of the coefficient matrix.

In other words, if R has three nonzero rows, then the rank of the coefficient matrix is also 3.

If the rank of the coefficient matrix is equal to the number of unknowns, then the system has a unique solution.

However, if the rank of the coefficient matrix is less than the number of unknowns, then the system has either no solution or infinitely many solutions.

But in this case, since the rank is equal to the number of unknowns, the system must have at least one solution.

1.21 If the system has three unknowns and R has three nonzero rows, then the system can have an infinite number of solutions.

This statement is false. If R has three nonzero rows, then the rank of the coefficient matrix is also 3.

If the rank of the coefficient matrix is equal to the number of unknowns, then the system has a unique solution.

It is only when the rank of the coefficient matrix is less than the number of unknowns that the system can have infinitely many solutions.

1.22 The system below has an infinite number of solutions:

2x + 3y + 5z + 6 - 7 - 8v = 0

3x - 4y + 7z + 8 + 5y = 0

-7x + 9y - 2z - 4w - 5u + 2y = 0

-5x - 5y + 92 + 3w + 2u + 7y = 0

-9x + 3y - 9z + 5w - 3u - 4y = 0

This statement is true.

To check if the system has infinitely many solutions, we need to check the rank of the coefficient matrix and the rank of the augmented matrix. In this case, the rank of the coefficient matrix is 3, which is less than the number of unknowns (5).

Also, when we perform row reduction on the augmented matrix, we get the following reduced row echelon form:

1 0 -1 0 1 0

0 1 2 0 -1 0

0 0 0 1 2 0

0 0 0 0 0 1

0 0 0 0 0 0

Since the rank of the augmented matrix is less than the number of unknowns, the system has infinitely many solutions.

The variables with free parameters are z, u, and y, which can take any value.

The other variables can be expressed in terms of these free parameters.

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Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Scientific notation is a way of writing very large numbers in a way that it is neat and easy to understand

The test statistic (37.96) is greater than the critical value (11.345), we can reject the null hypothesis and conclude that there is a significant relationship between admission date and birthday.

The test statistic for this test is calculated by summing the squared differences between the observed and expected frequencies in each category, divided by the expected frequency in that category. This formula is:

X² = ∑(observed - expected)² / expected

The degrees of freedom for this test are equal to the number of categories minus one (4-1=3). Using a significance level of 0.01, the critical value for this test is 11.345.

To calculate the test statistic for this sample, we first need to calculate the expected frequencies. Each category should have an expected frequency of 196/4 = 49.

Category 1: expected frequency = 49, observed frequency = 12

Category 2: expected frequency = 49, observed frequency = 22

Category 3: expected frequency = 49, observed frequency = 65

Category 4: expected frequency = 49, observed frequency = 97

Using the formula above, we can calculate the test statistic:

X² = [(12-49)²/49] + [(22-49)²/49] + [(65-49)²/49] + [(97-49)²/49]

X² = 37.96

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Complete Question:

An article focuses on the existence of any relationship between the date of patient admission for treatment of alcoholism and the patient's birthday. Assuming a 365-day year (i.e., excluding leap year), in the absence of any relation, a patient's admission date is equally likely to be any one of the 365 possible days. The investigators established four different admission categories: (1) within 7 days of birthday, (2) between 8 and 30 days, inclusive, from the birthday, (3) between 31 and 90 days, inclusive, from the birthday, and (4) more than 90 days from the birthday. A sample of 196patients gave observed frequencies of 12, 22, 65, and 97 for categories 1, 2, 3, and 4, respectively. State and test the relevant hypotheses using a significance level of 0.01. Calculate the test statistic.

Answer:

the question is not in order..or else this is a useless question

The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

3 hr(s)

Step-by-step explanation:

20 km/1 hour

60km/20km = 3

We have two number lines, one representing "dollars" and the other representing "tubs of yogurt".

By writing the corresponding values, we relate both quantities (dollars and tubs of yogurt).

Then, in the left boxes $4 corresponds to 1 tub of yogurt.

And the right boxes can be filled with $28 and 7 tubs of yogurt.

Answer:

We can fill them as

        \(\boldsymbol{\sf{\dfrac{5}{6}x-\dfrac{2}{3}=-4 }}\)

                      \(\boldsymbol{\sf{\dfrac{5}{6}x=-4+\dfrac{3}{2} }}\)

                            \(\boldsymbol{\sf{\dfrac{5}{6}x=-\dfrac{12}{2} +\dfrac{2}{2} }}\)

                                  \(\boldsymbol{\sf{\dfrac{5}{6}x=\dfrac{-12+2}{3} \ \ \longmapsto \ \ Add }}\)

                                  \(\boldsymbol{\sf{\dfrac{5}{6}x=-\dfrac{10}{3} }}\)

                                           \(\boldsymbol{\sf{x=-\dfrac{10}{3}\times\left(\dfrac{6}{5}\right) }}\)

                                     \(\boldsymbol{\sf{x=\dfrac{-10\times6}{3\times5} \ \ \longmapsto \ \ Multiply }}\)

                                    \(\boldsymbol{\sf{x=\dfrac{-60}{15} \ \ \longmapsto \ \ Divide }}\)

                                   \(\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ x=-4}}}\)

Answer:

x = 27.19

Step-by-step explanation:

Sin(54) =22/x

0.81=22/x

x0.81= 22

x = 27.19

Answer:

D

Step-by-step explanation:

2 1/8 + 1 1/2 + 1 3/4 = 5 3/8

Answer:

d

Step-by-step explanation:

got it right on the web.

Answer:

8.60cm

Step-by-step explanation:

a/sinA=b/sinB

15/sin90⁰=x/sin35⁰

cross multiply

15sin35⁰=xsin90⁰

8.6036=x

x=8.60cm

Answer:

79.5%

Step-by-step explanation:

\(\frac{175-97.5}{97.5} =0.795\)

Answer:

-7

Step-by-step explanation:

8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.

Given

The graph of y = f(x) is the black graph

Required

The equation of the graph of the red graph

The red graph is the black graph shifted to the right by 4 units. Hence, the equation of the red graph is:

Answer: Option B

survey every employee who works in the store

Step-by-step explanation:

The value of f(1) by using the attached graph is f(1) = -2.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

The graph shown in the question is representing the function value,

To find f(1) = ?

The value of f(1) will be equal to the value of x as the graph is linear so,

f(1) = value of y at x = 1

value of y at x = 1 = -2  (From the graph)

Thus, f(1) = -2.

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