Choose the equation and the slope of the line that passes through (5, -3) and is perpendicular to the x-axis. A. Equation: x= -3 B. Slope: undefined C. Slope: 0 D. Equation: y = -3 E. Equation: x = 5 E Equation: y = 5​

Step-by-step explanation:

the line is

20x - 17y = 15

I am not sure what your teacher uses as "standard form".

the works is split between "point-slope" and "slope-intercept" form as "standard".

I usually pick "slope-intercept" :

y = ax + b

with a being the slope and b being the y-intercept.

in any case, we can find the x-intercept without bringing the line equation to one of these forms.

because x-intercept simply means that y = 0.

and for y=0 the original equation is then

20x - 17×0 = 15

20x = 15

x = 15/20 = 3/4

Answer:

Monthly budget = $4444.44

Step-by-step explanation:

Let the monthly budget of Edwards family = x dollars

18% of monthly budget spends on groceries

Hence,

18% of x = 800

\({\dfrac{ 18 }{ 100 } \times x = 800}\)

\(\mathrm{Multiply\:both\:sides\:by\:100\:to\:cancel\:out\:the\:fraction}\)

\(100 \times \dfrac{ 18 }{ 100 } x = 800 \times 100\)

\(\mathrm{Simplify}\)

\(18x = 80000\)

\(\mathrm{Divide\:18\:from\:both\:sides}\)

\(\dfrac{ 18x }{ 18 } = \dfrac{ 80000 }{ 18 }\)

\(x = 4444.444444444\)

Rounded to the nearest cent: $4444.44

The area of the triangular yard is 7000 ft².

The entire area enclosed by three sides of a triangle is the area of it.

Given,

The base of the triangle is 200 feet and the height of the triangle is 70 feet.

Therefore, the area of the triangle

= (1/2) × base of the triangle × height of the triangle =  (1/2) × 200 × 70 ft² = 7000 ft².

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Answer:

  D (0,4)​

Step-by-step explanation:

You want to know an ordered pair that could be added to the given relation such that it remains a function.

A function cannot have any two ordered pairs that have the same x-value. The given relation has x-values {1, 2, 3, 4}, so none of these can be repeated if the relation is to remain a function.

The only choice with a different x-value is ...

  D (0, 4)

__

Additional comment

The set of x-values is the "domain" of the function. It cannot have any repeats. The set of y-values is the "range" of the function. Those values can be repeated.

A function that is "one-to-one" cannot have any repeated range values, either.

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Answer:

6.2

Step-by-step explanation:

\( \frac{7.2 + 7.6 + x}{3} = 7.0 \\ \frac{14.8 + x}{3} = 7.0 \\ 14.8 + x = 21 \\ x = 21 - 14.8 \\ x = 6.2\)

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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Step-by-step explanation:

Mx+B=y

B=y-Mx

Ax+By=C

Ax=C-By

Ax/A=C-By/A

x=C-By/A

Bh/2=A

2 x Bh/2=A x 2

Bh=2A

Bh/B=2A/B

h=2A/B

In respοnse tο the given questiοn, we can state that As a result, the functiοn turning pοints are ((4/3), -4/(3(4/3))) and (-(4/3), 4/(3(4/3))). With this data, we can draw the graph οf y = x³ - 4x shοwn in οptiοn (D).

Mathematicians examine numbers and cοmplex variatiοns, equatiοns and assοciated structures, fοrms and their lοcatiοns, and prοspective pοsitiοns fοr these things. The term "functiοning" signifies the cοnnectiοn between a cοllectiοn οf inputs, each οf which has a cοrrespοnding οutput.

A functiοn is a cοnnectiοn οf inputs and results in which each input leads tο a single, identifiable οutcοme. Each functiοn is assigned a dοmain, a cοdοmain, οr a scοpe. The letter f is widely used this tο denοte functiοns (x). The symbοl fοr admissiοn is an x. The fοur primary types οf usable functiοns are οn οperatiοns, οne-tο-οne capabilities, sο multiple functiοnality, in capabilities, and then οn functiοns.

Optiοn (D) is a design that might depict the graph οf y = x³ - 4x since it cοntains a single hump with a rοοt at x = 0 and intersects the y-axis at y = 0.

We may use the fοllοwing prοcedures tο sοlve the functiοn y = x³ - 4x:

The value οf the y-intercept is (0, 0).

We set y = 0 and sοlve fοr x tο determine the x-intercepts:

\(x^3 - 4x = 0\)

\(x( x^2 -4) = 0\)

\(x = 0 , x = -2 , x = 2\)

As a result, the x-intercepts are (-2, 0), (0, 0), and (2, 0).

\(3x^2 - 4 = 0\)

x = ±√(4/3)

As a result, the turning pοints are ((4/3), -4/(3(4/3))) and (-(4/3), 4/(3(4/3))).

With this data, we can draw the graph οf y = x³ - 4x shοwn in οptiοn (D).

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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For the polygon the individual value of the interior angles.

a) 15 sides is 145°

b) 20 sides is 108°

c) 3 sides is 60°

d) 4 sides is 90°

e) 100 sides is 18°

A regular polygon is one where all sides are the same length and all interior angles are the same. The number of sides of a regular polygon can affect the value of its interior angles.

a) 15 sides: The sum of the interior angles of a regular polygon with 15 sides is equal to 2180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2180 / 15 = 145 degrees per angle.

b) 20 sides: The sum of the interior angles of a regular polygon with 20 sides is equal to 2160 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2160 / 20 = 108 degrees per angle.

c) 3 sides: The sum of the interior angles of a regular polygon with 3 sides is equal to 180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 180 / 3 = 60 degrees per angle.

d) 4 sides: The sum of the interior angles of a regular polygon with 4 sides is equal to 360 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 360 / 4 = 90 degrees per angle.

e) 100 sides: The sum of the interior angles of a regular polygon with 100 sides is equal to 1800 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 1800 / 100 = 18 degrees per angle.

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The efficiency of the current process is  0.00000152

a. To determine if the current process can meet the demand, we need to calculate the total time required to produce 700 chairs per week.

Total time = Demand per week * Total working time per chair

Demand per week = 700 chairs

Total working time per chair = 5 working days * 8 hours/day * 60 minutes/hour

Total time = 700 * (5 * 8 * 60) = 1,680,000 minutes

The total time required for production is 1,680,000 minutes.

Now, we can calculate the total time available for production by considering the throughput yield of each process.

Total time available = Standard time of each operation * Throughput yield of each operation

Standard time of each operation = 0.52 + 0.48 + 0.65 + 0.41 + 0.55 = 2.61 minutes

Total time available = 2.61 * (0.99)^5 = 2.56 minutes

Since the total time required (1,680,000 minutes) is greater than the total time available (2.56 minutes), the current process will not be able to meet the demand.

The efficiency of the current process can be calculated as:

Efficiency = Total time available / Total time required

Efficiency = 2.56 / 1,680,000 ≈ 0.00000152

b. If the process can be balanced without reducing any time, the balanced standard time would be the average of the standard times of each operation.

Balanced standard time = (0.52 + 0.48 + 0.65 + 0.41 + 0.55) / 5 = 0.522 minutes

To determine if the balanced process can meet the demand, we need to calculate the total time available using the balanced standard time:

Total time available = Balanced standard time * (Throughput yield of each operation)^5

Total time available = 0.522 * (0.99)^5 ≈ 0.515 minutes

Since the total time required (1,680,000 minutes) is still greater than the total time available (0.515 minutes), the balanced process will not be able to meet the demand.

c. The sigma level of the process can be calculated using the formula:

Sigma level = (Total time available - Total time required) / (Standard deviation of the process)

To calculate the standard deviation, we need the standard deviation of each operation. If the standard deviations are not provided, we cannot determine the sigma level of the process.

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Answer:

(2x−7)(x+5) is the answer but I'm not sure how to type every working out I done sorry

The angle of depression from the aeroplane to the ground​ will be 30 degrees.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.

As we know that the perpendicular theta is height and the base ratio is angle tan theta.

tanФ = Height / Base

tanФ  = 10 / 10 √3

tanФ = 1 / √3

Ф = tan⁻¹( 1 / √3 ) = 30°

Therefore the angle of depression from the aeroplane to the ground​ will be 30 degrees.

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Answer:

equation

Step-by-step explanation:

Equations have equals signs, expressions do not

15x-10 is an expression

9+5 = 32 is an equation  ( it is a wrong equation)

We know that :

⊕  Sum of the interior angles in a Pentagon should be equal to 540°

⇒  x° + (2x)° + (2x)° + 90° + 90° = 540°

⇒  (5x)° = 540° - 180°

⇒  (5x)° = 360°

\(\sf{\implies x^{\circ} = \dfrac{360^{\circ}}{5}}\)

⇒ x° = 72°

Using the division operation, the number of 2/3's in 3 is 4

3 ÷ 2/3

change the sign to multiplication and take inverse of 2/3

3 × 3/2 = 9/2 = 4.5

We need only the whole number value .

Therefore, the number of 2/3's in 3 is 4.

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Answer: false

Step-by-step explanation: A line segment may not have more than one midpoint.

The surface area of the rectangular prism is 172cm^2

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross sections. The faces of the prism are parallelograms or rectangles.

The surface area of prism is 2A+ pH

where A is the base area

P is the perimeter of the base

and h is the height

for a rectangular prism, the base area is 2×8=16cm^2

perimeter of a rectangle= 2(l+b)

= 2(8+2)

= 20cm

surface area =( 2× 16) + 20× 7

= 32+ 140

= 172cm^2

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The rate of conversion between pounds and ounces is shown as;

16 ounces = 1 pound

Then you have a digital scale that measures weight in ounces. If you put an object that weighs "exactly 1 pound" on the digital scale, its supposed to display 16 ounces.

However the scale has been described as "not accurate," which implies that the calibration (fine tuning) has been altered either accidentally or on purpose. This also implies that the result would not be 100 percent correct, but it might be a little over or below 16 ounces. Hence the scale might display what in mathematics is termed as "plus or minus" and is denoted by the sign ±

The scale therefore might display 15 ounces or 17 ounces (that is ± 16)

±

The average number of children in a family under the age of 1818 is 0.76, which is the predicted value of this distribution.

The product of each potential result and its associated probability yields the anticipated value of a probability distribution. The probable outcomes in this scenario are 0, 1, 2, 3, & 4 minors, with the associated probability shown in the table.

We may add the products of each result and its probability to determine the estimated return of this distribution:

Expected value = (0)(0.58) + (1)(0.18) + (2)(0.16) + (3)(0.06) + (4)(0.02)

= 0 + 0.18 + 0.32 + 0.18 + 0.08

= 0.76

Therefore, 0.76 children below the age of 18 per household are the anticipated value of this distribution.

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Answer: Answer is B

Step-by-step explanation:  

102.3 divided by 23.8 = 4.30 = 4

Answer:

Girls: 7 points each

Boys: 11 points each

Step-by-step explanation:

Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees

A written outline that details the major and minor parts of a film, marked by numbers and letters, is called a script or screenplay.


A script or screenplay is a written document that serves as a blueprint for a film. It outlines the major and minor parts of the story, including dialogue, actions, and settings. The parts of the script are typically marked using numbers for major sections and letters for subsections.

The script provides a clear structure for the film, guiding the director, actors, and crew in bringing the story to life on screen. It acts as a roadmap for the production, ensuring consistency and coherence in the storytelling process. The script is an essential tool in the filmmaking process and serves as the foundation for translating the written words into a visual and auditory experience for the audience.

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Answer:

The first group of points is not a function due to repetition of elements in domain while second group of points is a function because no element of domain is repeated in any ordered pair.

Step-by-step explanation:

Why {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function?

A relation is said to be a function if there is no repetition in the first elements of each ordered pair. In this group of points, 0 is repeated in two ordered pairs (0, 1), (0, 5) so it is not a function.

Why {(1, 4), (2, 7), (3, 1), (5, 7)} is a function?

The given group of points is a function because there is no repetition in first elements of each ordered pair i.e. there is not repetition in domain so it is a function

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Answer:

The first group of points is not a function due to repetition of elements in domain while second group of points is a function because no element of domain is repeated in any ordered pair.

Step-by-step explanation:

(0, 1), (0, 5), (2, 6), (3, 3)} is not a function.

A relation is said to be a function if there is no repetition in the first elements of each ordered pair. In this group of points, 0 is repeated in two ordered pairs (0, 1), (0, 5) so it is not a function.

{(1, 4), (2, 7), (3, 1), (5, 7)} is a function.

The given group of points is a function because there is no repetition in first elements of each ordered pair i.e. there is not repetition in domain so it is a function

The null hypothesis is rejected if the p-value is less than or equal to the significance level (alpha).

When conducting hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed data, assuming the null hypothesis is true. The decision rule is to reject the null hypothesis if the p-value is smaller than or equal to the predetermined significance level (alpha).

The significance level, often denoted as alpha, is a predetermined threshold that defines the level of confidence required to reject the null hypothesis. If the p-value is smaller than alpha, it suggests that the observed data is unlikely to occur if the null hypothesis is true, leading to the rejection of the null hypothesis. Conversely, if the p-value is greater than alpha, it indicates that the observed data is reasonably likely to occur under the null hypothesis, and there is insufficient evidence to reject it.

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Given that the ordered pair makes the function and these pairs are

[ (2,5), (7,1), (5,9), (8,0), ( , ) ]

Since the function is the one that has the input having only one output.

Hence, the given options (3,4) is correct.

Therefore the ( 3, 4 ) is the pair.