Line p passes through points (18, 11) and (-17, 22). Line q passes through points (2, 37) and (-9, 72). Are line p and line q parallel or perpendicular?

The probability that one such device will work at least 15 hours at least 3 among 6 devices is 0.33 approximately.

The cumulative distribution function of X is:[tex]F(x)= 1- 10/x[/tex]  ( for x > 10)

X = the entire lifespan of a definite type of electronic device in hours, then the probability function of X,

here we use the cumulative distribution function, which is used to specify random variables,

F(X)= 1 - 10/X is cumulative distribution function,

then the probability that at least 3 devices will work for 15 hours

P(X[tex]\geq[/tex]15)= 1- P(X<15)

            = F(15)

            = 1- 10/15

            =5/15

            =0.333

Hence, the probability that one such device will work at least 15 hours at least 3 among 6 devices is 0.33 approximately.

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The dimensions of the cylinder will be r = 8.92 cm and h = 17.86 cm.

What is dimensions ?

Dimensions refer to the length or width of an area, region, or space in one direction.

Main Body:

Volume of cylinder = πr²h

Surface area = 2πr² + 2πrh

Given surface area = 1500 cm²

1500 = 2πr²+2πrh

h= (750/πr)-r   ----(1)

V= πr²{(750/πr)-h}

V =750r - πr³

V' = 750- 3πr²

Put V' =0

0 = 750 - 3πr²

r≈ 8.92 cm

substituting the value of r in equation (1)

we get h= 17.86 cm

Hence the dimension of cylinder are r = 8.92 cm and h = 17.86 cm

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The solution of the system of equations is x = 1 and y = -1.

What is a two-variable linear equation?

If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equivalent to zero, it then is said to be a linear equation in 2 factors. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.

SOLUTION TO WORK OUT

the equations are resolved

8x + 3y = 5 & 3x − 2y = 5

EVALUATION

The equations in the given system are

8x + 3y = 5 - - - - - - - (1) (1)

3x − 2y = 5 - - - - - - - (2) (2)

Equation 1's two sides multiplied by two gives us

16x + 6y = 10 - - - - - - (3) (3)

Equation 2's two sides are multiplied by three to get

9x - 6y = 15 - - - - - - (4) (4)

Equation 3 and Equation 4 together give us

25x = 25

⇒ x = 1

Equation 1 is completed when x = 1.

8 + 3y = 5

⇒ 3y = 5 - 8

⇒ 3y = - 3

⇒ y = - 1

FINAL RESPONSE

Consequently, the needed answer is x = 1 and y = - 1.

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Proportional relationships are those in which the ratios of two variables are equal. Another way to think about them is that one variable in a proportional relationship is always a constant value multiplied by the other. This is known as the "constant of proportionality."

A proportional relationship exists when each pair of data values is related in the same way, by multiplying by a factor. A proportional relationship can be identified by looking at data, an equation, or a graph. A proportional relationship with a constant of proportionality k between two quantities y and x is represented by the equation y = kx.

They pass through the source. They are linear (straight lines) and pass through the origin as well. The x to y ratio is a proportionality constant. For example, consider the following number pairs with a ratio of 2.5: 5 and 2; 10 and 4; 100 and 40; 2.5 and 1. These number pairs are all proportional to one another.

Note that an overview was his as the information is incomplete.

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Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution

Variability also measure how accurately individual score or sample represent the entire population

When the standard deviation is 0 , the scores have no variability.

Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.

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Answer:

She can rent the room for 6 hours.

Step-by-step explanation:

65 - 41 = 24

So she has left 24$ to use

24 divided by 4 = 6

She can rent the room for 6 hours.

The meters of rope used for knot tying is 10 meters.

According to the question,

We have the following information:

A cout mater bough 45 meter of rope he used two-ninth of the rope for knot tying.

So, we have the following expression for the rope used for knot tying:

45 of 2/9

We know that the word of is replaced by multiplication.

45*2/9

Now, we will first multiply the numbers in the numerator and then we will divide the obtained result by denominator.

90/9

Dividing 90 by 9:

10 meters

Hence, the meters of rope used for knot tying is 10 meters.

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To determine the degree measure of one angle of a 30-sided regular polygon.

The degree measure of one angle of a 30 sided regular polygon is 168°​.

What is a regular polygon?

A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides or edges are made up of segments of straight lines that are joined end to end to create a closed shape.

The intersection of two lines is referred to as a vertex or corner, and an angle is created as a result. Regular polygons are those that have sides that are congruent.

We will use the side-angle relation of a regular polygon with any no. of sides to find total sum of interior angles that is

(Side - 2) × 180°

(30 - 2) × 180°

= 5040°

Measure of each angle of 30-gon

= 5040°/30

= 168°​

Thus, the degree measure of One angle of a 30 sided regular polygon is 168°​

Hence the answer is, The degree measure of one angle of a 30 sided regular polygon is 168°​.

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The factors of the equation x²-4x+2=0 by using quadratic formula is x=3.414 and 0.585.

Given that,

The quadratic equation is x²-4x+2=0

We have to find the factor by using quadratic formula.

The word "quadratic," which meaning square, is derived from the word "quad." A quadratic equation is a "equation of degree 2," to put it another way.
A quadratic equation is a second-degree algebraic equation in x. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, x's coefficients are a and b, and c is just a constant.

x=[tex]\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]

Take the equation,

x²-4x+2=0

Here,

a=1, b=-4 and c=2

Substitute the values in the formula.

x=[tex]\frac{-(-4)\pm\sqrt{(-4)^{2}-4(1)(2) } }{2(1)}[/tex]

x=[tex]\frac{4\pm\sqrt{16-8 } }{2}[/tex]

x=[tex]\frac{4\pm\sqrt{8 } }{2}[/tex]

x=[tex]\frac{4\pm\sqrt{4 \times 2 } }{2}[/tex]

x=[tex]\frac{4\pm2\sqrt{2 } }{2}[/tex]

x=2±√2

x=2+√2    or    x=2-√2

x=3.414     or     x=0.585

Therefore, The factors of the equation x²-4x+2=0 by using quadratic formula is x=3.414 and 0.585.

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Answer:

Step-by-step explanation:

Answer:

it will increase

Step-by-step explanation:

6 is bigger than 10

The side length of a single cube will be 6 centimeters.

The volume of the cube will be -

V = (a x a x a) cubic units

We have the volume of Prism as V[P] = 25920 cm³ which is made up of [n] = 120 cubes of the same volume.

The volume of a single cube will be -

V[c] = V[P]/n

V[c] =  25920/120

V[c] = 216 cm³

Volume of a cube = V[c] = (a x a x a)

Equating volume, we get -

a³ = 216

a = 6 cm

Therefore, the side length of a single cube will be 6 centimeters.

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The number of shelves is x/20.

From the question, we have

You collect miniature cars and display them on shelves that hold 20 cars each.

Number of shelves = x/20

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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Answer:

A- the slope is -4 and y-intercept is 3

Step-by-step explanation:

The standard form is y=mx+c (for straight line graph) while m is slope(gradient) and c is y-intercept.

So, slope is -4 and y-intercept is 3

15x² - 10 = 0 is a quadratic equation which has complex solutions.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax2 + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable. There should be two solutions to quadratic equations. If you think about the discriminant formula, two roots can be real, equal, or imaginary.

Given,

Quadratic equation:

15x² - 10 = 0

15x² = 10

x² = 10/15

Roots:

x = ±√10/15

15x² - 10 = 0 is a quadratic equation which has complex solutions.

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Answer:

y = - x - 13

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 4 ← is in slope- intercept form

with slope m = 1

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{1}[/tex] = - 1 , then

y = - x + c ← is the partial equation of line q

to find c substitute (- 10, - 3 ) into the partial equation

- 3 = 10 + c ⇒ c = - 3 - 10 = - 13

y = - x - 13 ← equation of line q

Answer:

See the picture below

Step-by-step explanation:

The correct option is (a) i.e. the slope intercept form of the given line is y = 6x-14.

The slope of the line through two points (x₁ ,y₁) and (x₁ ,y₂) can be found by using the formula below.

  m = (y₂ - y₁) / (x₂ - x₁).

The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y = mx + b.

Here we have a line that passes through two points (x₁ ,y₁) = (3 ,4) and  (x₁ ,y₂) =(5 ,16).

The slope of the line m = (y₂ - y₁) / (x₂ - x₁) = (16 -4) /(5 -3) = 12/2 = 6.

 ⇒ slope m = 6.

And we know the slope intercept form  is

  y = mx + b

⇒ 4 = 6*3 + b  {with points  (3 ,4)}

⇒ b =4 - 18 = -14 ⇒ b = -14.

So the slope intercept form is y = 6x-14.

The slope-intercept form of the equation with m =6 and y-intercept as -14 was found to be

  y = 6x -14.

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NOTE : The question given here is not complete. The complete question is given below.

Question: What is the slope intercept form equation of the line that passes through (3 ,4)and (5,16)?

(a) y = 6x − 14  

(b) y = −6x +14

(c) y = −6x − 14

(d) y = 6x + 14?

[tex]{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=6.4 \end{cases}\implies 6.4=ab^2\implies \cfrac{6.4}{b^2}=a \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} x=5\\ y=409.6 \end{cases}\implies 409.6=ab^5\implies \stackrel{\textit{substituting from the 1st equation}}{409.6=\left( \cfrac{6.4}{b^2} \right)b^5} \\\\\\ 409.6=6.4b^3\implies \cfrac{409.6}{6.4}=b^3\implies 64=b^3\implies \sqrt[3]{64}=b\implies \boxed{4=b} \\\\\\ \cfrac{6.4}{b^2}=a\implies \cfrac{6.4}{4^2}=a\implies \boxed{0.4=a}~\hfill {\Large \begin{array}{llll} y=0.4(4)^x \end{array}}[/tex]

The Simplify the expression is -10, when we use fraction.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

=-5(∛27 *2)/3

=-5(3*2)/3

=-5(6)/3

=-10

Hence the answer will be -10 simplify the expression.

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Answer:

14

Step-by-step explanation:

Correct me if I'm wrong

Answer:answer is 14

Step-by-step explanation:

hope this helps

The respective names of the point of concurrency is:

1. Circumcenter

2. Incenter.

3. Centroid

4. Orthocenter

Point of concurrency:

The point of concurrency is a point where three or more lines or rays intersect with each other.

Circumcenter:

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

Incenter:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

Centroid:

The point where three medians of the triangle meet is known as the centroid.

Orthocenter:

The point where three altitudes of the triangle meet is known as the orthocenter.

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Based on the concept of unitary method, the amount of time he spent on the bicycle is 5.6 hours.

Unitary method:

Unitary method is used for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

Jim began a 182​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 5 hours.

Here we need to find the amount of time he spent on the bicycle if Jim walks at a rate of 4 miles per hour and rides at 40 miles per​ hour.

Let us consider x be the hours on the bike for distance 40x miles.

We know that, he spent 5 - x hours walking for distance 4(5 - x) miles or it can be written as

=> 20 - 4x

And we also know that those two, 40x and 20 - 4x, add to 182 miles

=> 40x + 20 - 4x + 182

=> 36x + 202

=> 36x = 202

=> x = 5.6

And the units calculation is m/h*h=m

If the value of x = 5.6 hours on the bike for 139.5 miles, then 5 - x =0.6 hours walking for 4 miles.

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a. The functions are classified as follows:

b. The functions are given as follows:

c. She should purchase Car 1, as it will have a higher value in nine years.

The functions are classified depending if there is an equal factor or an equal difference between consecutive terms, as follows:

Hence the functions in this problem are classified as follows:

Hence the functions are given as follows:

After nine years, the values are as follows:

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Answer:

That's right

Step-by-step explanation:

Considering the expression of a line, the equation of the line that passes through the points (-9,-7) and (-11,-6) is the equation of the line is y= -1/2x -23/2.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of a line can be calculated as:

m= (y₂ - y₁)÷ (x₂ -x₁)

Substituting the value of the slope m and the value of one of the points in y=mx +b, the value of the "b" can be obtained.

Being (x₁, y₁)= (-9, -7) and (x₂, y₂)= (-11, -6), the slope m can be calculated as:

m= (-6 - (-7))÷ (-11 -(-9))

m= (-6 +7)÷ (-11 +9)

m= (1)÷ (-2)

m= -1/2

Considering point 1 and the slope m, you obtain:

-7= (-1/2)×(-9) + b

-7= 9/2 +b

-7 -9/2= b

-23/2= b

Finally, the equation of the line is y= -1/2x -23/2.

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6-3y=2x

-3y=2x-6

y=(2x-6)/-3

y=-(2/3)x+2


No me deja adjuntar la imagen de la gráfica, te recomiendo una página de internet llamada Desmos

X=0
y=-(2/3)(0)+2=2
(0,2)esmos


x=3
y=-(2/3)(3)+2=-2+2=0
(3,0)

x=-3
y=-(2/3)(-3)+2=2+2=4
(-3,4)

Answer:

The answer is 12 hours

Step-by-step explanation:

Jenny would have to work 12 hours to make $156

234/18 = 13

156/13 = 12