What is the domain of y equals two divided by the quantity x minus three squared all minus one ?
All real numbers less than 3
All real numbers except 3
All real numbers greater than 1
All real numbers greater than 3
All real numbers

Option A. The set of side measurement that can be used to form a triangle is given as A. 13, 19, 7

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices. In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.

How to get the measurement that can produce a triangle.

a + b > c  = 13 + 19 > 7

a + c > b  =  13 + 7 > 19

b + c > a  = 7 + 9 > 13

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The length of the X using law of cosine is 34.30yd.

What is cosine?

In a right angled triangle, the cosine of an angle is:

The length of the adjacent side divided by the length of the hypotenuse.

The abbreviation is cos

cos(θ) = adjacent / hypotenuse

Consider that;

[tex]X = \sqrt{a^2+b^2-2abcosX}[/tex] (using law of cosine)

[tex]X = \sqrt{21^2+18^2-2\times 21\times 18\times cos(123 ^\circ)}[/tex]

[tex]X = \sqrt{441+324-756\times (-0.5446)}[/tex]

X = 34.30 yd

If A, B, and C are the measures of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite the corresponding angles, then the square of a side of the triangle is equal to the sum of the squares of the other two sides minus twice the product of the two sides and the cosine of the included angle.

[tex]c^2 = a^2+ b^2- 2abcos C[/tex]

We have to the value of X which is present on the side c,

so, from the above formula we modified for the X,

and the formula become,

[tex]X = \sqrt{a^2+b^2-2abcosX}[/tex](using law of cosine)

rest of the solutions are only calculation which is elaborated  above which provide us the value of  X = 34.30 yd.

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Answer:

May be helpful.

thx.......

Simply put, probability is the likelihood that something will occur.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

I clarify this because the question uses plural “drawing white socks”. Ok, in our language practice one does usually say socks instead of sock because they usually come in pair.

If it means 1 draw of 1 sock then the probability is 6out of 21. Or about 28.57%

But if it is to draw twice with one sock being drawn in each draw to get a pair of white socks then the probability is 6/21 * /20 = 30/420 = 1/14 or about 7.14%

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If the fishes are divided to be in tenths, then the total pieces of fishes that would be available would be 1730

It is assumed that Jorge has 173 fish that he intends to cut up into smaller portions for his dog sled team.

The amount of fish pieces that would remain if Jorge divided each fish into tenths must be determined.

We are aware that there are 10 pieces to every fish.

There are a total of 173 fish available for the dog.

The product of the number of fish that are available and the number of pieces that each fish is divided into results in the total number of fish.

173 * 10

= 1730 pieces of fish.

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Complete question

Jorge has 173 fish for his dog sled team that he wants to divide into smaller pieces. how many pieces of fish would there be if jorge divided each fish into tenths.

Answer: Diverge Reasoning I took the test

Solve in terms of x.

[tex]y=\frac{5}{x}[/tex]

Multiply by x on both sides to remove it from the denominator.

xy =5

Divide by y to get x by itself

[tex]x=\frac{5}{y}[/tex]

Answer:

x=5/y

Step-by-step explanation:

y=5/x

cross multiplying

yx=5

x=5/y

When the directrix is at x = 5 and  point in the vertex is at h = 2. Then P would be -3

In the equation of parabola, P is defined as the distance between the directrix and the vertex

The vertex is defined by the points V ( h, k )

h is for the x coordinate

k is for the y coordinate

when the directrix is given in the x, we solve for P using h

P = h - point given for directrix

P = 2 - 5

P = -3

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Step-by-step explanation:

Angle BAC = angle BCA

as sum of angles in triangle = 180

49 + 49 + ABC = 180

180 - 49 - 49 = ABC

ABC = 82°

Answer: y = x - 3

Step-by-step explanation:

Answer:

y = x+3

Step-by-step explanation:

First of all we have to find the equation of the line

Slope-intercept form is:

[tex]y=mx+b[/tex]

Putting the value of slope

[tex]y=x+b[/tex]

Putting the point in the equation

(-4,-1)

[tex]-2=-5+b\\b=-2+5\\b=3[/tex]

So the equation is:

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

The graph is attached with the answer

Keywords: Equation of line, slope

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Answer:

a) 1

b) 0.5

c)0

The mean recurrence interval between earthquakes of this magnitude range over the previous 30 years essentially has been 4.769230 in a basically sort of big way in a subtle way.

Given, the earthquake's magnitude literally basically is between 6.0 and 7.0 in a very definitely big way, or so they for all intents and purposes thought. occurrences = 2 earthquakes

Duration: 30 years

particularly Mean Earthquake Recurrence Interval,

T=(n+1) / m

Where m = 6+7 / 2 = 6.5 , n = 30

T = ( 30+1)/6.5

   = 31/6.5

   = 4.769230

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The angle the road makes is 3.43°

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here, we have

A 6% downgrade means that for every 100 units of horizontal run.

The vertical height decreases by 6 units.

The grade has a downward angle of

tan⁻1(6/100) = 3.43°

Hence, the angle the road makes is 3.43°

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Josiah read  at the rate of 17.5 pages per  hour.

Speed of reading is the number of pages read per hour.

Given here, Josiah read 28 pages in  1 ³/₅ hours which is in mixed fraction

now   1 ³/₅ = ⁸/₅ = 1.6 hours

therefore the speed of reading is = 28 / 1.6 = 17.5 pages hour.

Hence, Josiah's the speed of reading is  17.5 pages hour.

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Answer: $84.80

Step-by-step explanation:

The actual sales tax was 4.80 because 6% of 80 is 4.80

Then add the 4.80 to the 80 to get your total

Hope this helped :)

Step-by-step explanation:

at first multiply the factors

[tex] ({x}^{2 } + x \: - 3x \: - 3)(x - 1) = 0[/tex]

[tex] {x}^{3} - {x}^{2} - 3 {x}^{2} - \: 3x - {x}^{2} - x \: + 3x + 3 = 0[/tex]

[tex] {x}^{3} - 5 {x}^{2} - x + 3 = 0[/tex]

Here we see the highest power is 3 so the degree of the equation is 3

As for the real roots, the factors each as in (x-1), (x-3) & (x+1) can be considered zero each to find the real roots because for the value of x to be zero any of the multiplied factors must be zero.

either, x-1=0

=> x = 1

or, x+1=0

=> x = -1

or, x-3=0

=> x = 3

real roots of x are: 1, -1 and 3

The a-values of the business are classified as follows:

The a-value of a business depends on the behavior of the earning function for these business, as follows:

From the table given by the image at the end of the answer, for the lawn care business, a concave down parabola represents the situation, as the earnings start increasing but then during the 3rd month they start to decrease. Hence, the a-value of the business is negative.

For the dog walking and for the house-sitting business, the values are always increasing over the time interval of the table, hence the a-value of these two businesses is positive.

The table is given by the image at the end of the answer.

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Answer:

  (B)  A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

Step-by-step explanation:

You want a description of the graph showing the proportional dependency of cost on weight if a couple of (weight, cost) points are (25, 22.25) and (41, 36.49).

The independent variable is weight, so the x-axis will be labeled Weight (in pounds). The dependent variable is cost, so the y-axis will be labeled Cost (in dollars). The two given points can be plotted on the graph.

The description from the available answer choices is ...

A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

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Answer: 1 solution

Step-by-step explanation:

3(d+11)=6(d+33)

simplifing the above equation

3d+33=6d+198

3d-6d=198-33

-3d=165

d= -165/3

d=-55

Answer:

b. 1

Step-by-step explanation:

3d + 33 = 6d + 198

3d - 6d = 198-33

-3d = 165

thus, d = -165/3

           = -55

Answer:

y = -19.5, x = -14.5

Step-by-step explanation:

We can form equations from this statement:

x + y = -34

x - y = 5

If we rearrange the second equation, we get:

x - y = 5

x = 5 + y

Then, we substitute this value into the other equation to get the answer.

x + y = -34

5 + y + y = -34

Then solve:

2y + 5 = -34

2y = -39

so, y = -19.5

now we can find x with y:

-19.5 + x = -34

-34 + 19.5 = x

x = - 14.5

Answer:

The line meeting the criteria is y = (1/2)x + 6 does not match any of the answer options.

Step-by-step explanation:

Let's use the slope-intercept form of a linear equation:  y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).  We are given the slope, (1/2), so let's put that into the equation:

   y = (1/2)x + b

It is the value we choose for b that will make the line pass through point (6,-3).  We can determine that value by entering the given point in the equation and then solving for b:

y = (1/2)x + b

-3 = (1/2)*(6) + b for point (6,-3)

-3 = 3 + b

b = -6

The full equation is thus y = (1/2)x + 6

See the attached graph.

===

The `list of options doesn't have an equation that matches this conclusion.  The first two aren't even equations.  Assuming for the moment they are mistyped and should have an "=" sign after the y, we will change the list as follows:

Original   New

y-2x+6     y=2x+6

y-1x-6       y=1x-6

y=2x-3     y=2x-3

y=x+3      y=x+3

The slopes are either +1 or +2.  None have the required slope of (1/2)

The flight of plane from Montego bay to freeport is 894 miles.

To solve this we use Pythagoras theorem.

What is Pythagoras theorem?

The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem.

Main Body:

Formula for Pythagoras theorem = [tex]P^{2} +B^{2}[/tex]= [tex]H^{2}[/tex]

here H = 1200

B= 800

P =?

solving this equation

1200² = 800²+P²

P²= 800000

P=[tex]\sqrt{800000}[/tex]

P ≈ 894 miles

Hence the distance of flight from Montego Bay to Freeport is 894 miles.

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Assume the account pays a nominal annual interest of r% compounded quarterly, the value of the interest rate (r) is equal to 7.87%.

Mathematically, compound interest can be calculated by using this formula:

A(t) = P(1 + r/n)^{nt}

Where:

Substituting the given parameters into the formula, we have;

1.6(3,818) = 3,818(1 + r/8)^{8 × 6}

1.6 = (1 + r/8)^{48}

Taking the 48th root of both sides of the equation, we have:

[tex]\sqrt[48]{1.6} = \sqrt[48]{(1 + \frac{r}{8} )^{48} }[/tex]

1.00983983823726 = 1 + 0.125r

0.125r = 1.00983983823726 - 1

0.125r = 0.00983983823726

Interest rate, r = 0.00983983823726/0.125

Interest rate, r = 0.0787

Interest rate, r = 7.87%

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We get the values when x is -8 y is 62, when y is -73 x is 7 and when x is 3 y is -37 for the linear equation y=-9x-10.

Given that,

The linear equation is y=-9x-10.

We have to fill the table given in the question.

First,

Taking x value is -8

We get y value as,

y=-9(-8)-10      (multiply -9 and -8)

y=72-10           (Subtracting 72 and 10)

y=62

When x is -8 y is 62.

Taking y value is -73

We get x value as,

-73=-9x-10

-73+10=-9x

-63=-9x

63=9x

x=63/9

x=7

When y is -73 x is 7.

Taking x value is 3.

We get y value as,

y=-9(3)-10

y=-27-10

y=-37

When x is 3 y is -37.

Therefore, We get the values when x is -8 y is 62, when y is -73 x is 7 and when x is 3 y is -37 for the linear equation y=-9x-10.

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The chance that the call arrived when the switchboard was not completely busy is 0.75.

Probability is a branch of mathematics that studies the likelihood of a random event occurring.

It is given that the switchboard is fully busy for the first 15 seconds, that means it is not busy for the next 15 seconds to 60 seconds

Therefore the probability that calls arrived when the switchboard was not fully busy is

P(15< x < 60) = ∫_15^60▒f(x)dx

= ∫_15^60▒〖1/60 dx〗

=1/60 ∫_15^60▒〖1.dx〗

= 1/60 [ x ]6015

= (60 – 15)/60

= 45/60

= ¾

= 0.75

Therefore the probability that the call arrived when the switchboard was not fully busy is 0.75

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Answer:

x=27 I think

Step-by-step explanation:

1 = 3x + 15

2 = 6x + 3

We can solve by putting both equations together.

Let's multiple the top equation by -2

-2(1 = 3x + 15)

-2 = -6x - 30

2 = 6x + 3

0=x - 27

27=x

The probability that a worker selected at random makes between $350 and $400 = 0.34134

What is a z score formula?

The standard score represents how far a raw score deviates from or exceeds the mean of the phenomenon being observed or measured. Positive standard scores are assigned to raw scores that are greater than the mean, while negative standard scores are assigned to raw scores that are less than the mean.

By using the z score formula:

z = (x - μ) / σ

Where,

x = raw score

μ = mean

σ = Standard deviation

We are told in the question to find the probability that a worker selected at random makes between $350 and $400

Consider, x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

From tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 = 0.34134

Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134

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There can be different possible ways in which we can remove the objects and can form possibilities within the rows and columns

What are rows and columns?

Rows and columns are used to properly distinguish categories, classifications, types, etc., when they occur in matrices, spreadsheets, etc. The usage of these words is a bit confusing for most. Rows are a group of cells arranged horizontally to provide uniformity. Columns are a group of cells aligned vertically, and they run from top to bottom. Although the main reason for both rows and columns is to bifurcate groups, categories, and so on,

In the question, It is given that:

There are 16 objects.

and Number of rows = 4;

Number of column = 4;

The task to do is to remove 6, leaving an even number of objects in each row.

So, we can do that in the following manner;

So, we can remove the 2nd object, 4th object, 6th object,8th object,10th object, and 12th object. when we are dealing with rows.

So, we can remove the 2nd object, 4th object, 6th object,8th object,10th object, and 12th object. when we are dealing with the column.

Hence,

There can be different possible ways in which we can remove the objects and can form possibilities.

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The number of days it take the same number of signature will be 2 days.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Vivian has 18 signatures, and Kyle has 14.

Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.

Now,

Since, Vivian has 18 signatures, and Kyle has 14.

And, Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.

Let number of days it take the same number of signature = x

So, We can formulate;

⇒ 18 + x = 14 + 3x

Solve for x as;

⇒ 18 + x = 14 + 3x

⇒ 18 - 14 = 3x - x

⇒ 4 = 2x

⇒ 2x = 4

⇒ x = 2

Thus, The number of days it take the same number of signature will be 2 days.

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