solve the equation accurate to three decimal places. 3(4x − 6) = 131

Answer: 8.12

Step-by-step explanation:

the perimeter of the rectangle is 56 feet.

To find the perimeter of a rectangle, we add up the lengths of all four sides.

In this case, the rectangle measures 10 feet by 18 feet. Therefore, the length of the top and bottom sides is 10 feet, and the length of the left and right sides is 18 feet.

So, the perimeter of the rectangle is:

2(10 feet) + 2(18 feet) = 20 feet + 36 feet = 56 feet

Therefore, the perimeter of the rectangle is 56 feet.
Visit to know more about perimeter:-

https://brainly.com/question/19819849

#SPJ11

The  amount of sales at which Company A's offer is the same as Company B's is  $600

The given parameters that will help us to understand the question are

Company A:

Base = $200

Commission = 10% of sales = .1*S

A = .1S + 200

Company B:

Base = 400

Commission = .05*S

B = .05S + 400

We're looking for the point where they're equal.

200 + .1S = 400 + .05S

Multiply by 100 to get rid of decimals

20000 + 10S = 40000 + 5S

Subtract 20000 from both sides

10S = 20000 + 5S

Subtract 5S from both sides

5S = 20000

Divide both sides by 5

S = 4000

So, at $4000 sales, the two jobs pay the same.

You have to always check your work. This can be done by plugging the values into the basic equations and determining if they check. Or we can graph the two lines and see where they cross.

Company A:

200 + .1(4000) = 200 + 400 = 600

Company B:

400 + .05(4000) = 400 + 200 = 600

Conclusively Alex (A) offers $600 as same as Company B

Learn more about amount of commission on https://brainly.com/question/26598361

#SPJ1

Complete question:

A salesperson has two job offers. Company A offers a weekly salary of $200 plus commission of 10% of sales. Company B offers a weekly salary of $400 plus commission of 5% of sales. What is the amount of sales at which Company A's offer is the same as Company B's?

The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

learn more on quadratic equation here: https://brainly.com/question/30456542

#SPJ1

Hey there!

2x + 5(2 + 6x) + 3(2x - 7)

DISTRIBUTE

= 2x + 5(2) + 5(6x) + 3(2x) - 7

= 2x + 10 + 6x + 6x - 7

COMBINE the LIKE TERMS

= (2x + 6x + 6x) + (10 - 7)

= 2x + 6x + 6x + 10 - 7

= 8x + 6x + 10 - 7

= 14x + 3

Therefore, your answer is: 14x + 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

2

Step-by-step explanation:

Don't really know how to explain it. OmniCalculator is very helpful.

Hope that this helps!

The equation of the line is y+x+1=0.

It is required to find the equation of the line.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

The given line is

y=-x-5.

Slope of line

y+x-5=0

We have to find the  equation of the line.

According to given question we have

Slope =-1

Thus the slope of the required line is

-1

The point (5, -6)

The equation of the line is

  y+6=-1​(x−5)

=>y+6=-x+5

=>y+x+1=0

Therefore, the equation of the line is y+x+1=0.

Learn more details about line here:

https://brainly.com/question/2696693

#SPJ1

To find the highest and lowest temperatures encountered by the ant as it traverses the circle of radius 7 centered at the origin, we need to parameterize the circle and then find the maximum and minimum values of the temperature function T(x, y) along the circle.

First, we can parameterize the circle of radius 7 centered at the origin using polar coordinates:

x = 7cosθ

y = 7sinθ

where θ is the angle measured counterclockwise from the positive x-axis.

Substituting these expressions into the temperature function, we get:

T(θ) = 4x^2 - 4xy + y^2 = 4(7cosθ)^2 - 4(7cosθ)(7sinθ) + (7sinθ)^2

= 49(2cos^2θ - 4cosθsinθ + sin^2θ)

= 49(cosθ - 2sinθ)^2

Now, we can find the maximum and minimum values of T(θ) by finding the maximum and minimum values of the function f(θ) = cosθ - 2sinθ, since T(θ) is a square of f(θ).

To find the maximum and minimum values of f(θ), we can take its derivative with respect to θ and set it equal to zero:

f'(θ) = -sinθ - 2cosθ = 0

Solving for θ, we get θ = arctan(-2), which is in the second quadrant. Since f''(θ) = -cosθ + 2sinθ is negative at this value, we know that this is a maximum value of f(θ).

Therefore, the highest temperature encountered by the ant is T(θ) = 49(cosθ - 2sinθ)^2 evaluated at θ = arctan(-2), which gives T_max = 245.

Similarly, the lowest temperature encountered by the ant is T(θ) = 49(cosθ - 2sinθ)^2 evaluated at θ = arctan(-2) + π, which gives T_min = 49.

Learn more about Trigonometry here -: brainly.com/question/13729598

#SPJ11

In a sample of 10,000 observations from a normal population, about 27 would be expected to lie beyond three standard deviations of the mean, therefore, the correct option is b.

For a normal distribution, about 99.7% of the data is expected to lie within three standard deviations of the mean. This is known as the empirical rule or the 68-95-99.7 rule.

Using this rule, we can estimate the number of observations beyond three standard deviations of the mean for a sample of 10,000. Since the distribution is normal, we know that the mean and standard deviation completely describe the distribution.

Assuming the sample is representative of the population, we can use the empirical rule to estimate the number of observations beyond three standard deviations of the mean. Since three standard deviations from the mean cover 99.7% of the data, the remaining 0.3% of the data would be expected to lie beyond three standard deviations.

Therefore, the correct answer is c. about 27, since 0.3% of 10,000 is approximately 27.

To know more about standard deviations, refer here:

https://brainly.com/question/23907081#

#SPJ11

The present age of Chaudhary is 21 years and Mrs Pandey is 14 years.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

For example, x + 4y = 13 and -21x + 5y = 2 are linear equations in two variables.

Let the present age of Chaudhary is 'X' years and Mrs Pandey is 'Y' years.

So, according to the question:

sum of their present age is 35 years.

X + Y = 35                ----------- ( i )

also, Chaudhary age was thrice when Chaudhary were old as the Mrs Pandey.

Now,

X = 3 ( Y - (X - Y) )

X = 3 ( Y - X + Y )

X = 3 ( 2Y - X )

X = 6Y - 3X

4X = 6Y

2X = 3Y                  

X = 3Y / 2               ------------- ( ii )

Put value of X from equation ( ii ) in equation ( i ):

3Y/ 2 + Y = 35

5Y = 70

Y = 14 years

Put value of Y in equation ( ii )

X = ( 3 x 14 ) / 2

X = 21 years

Hence, The present age of Chaudhary is 21 years and Mrs Pandey is 14 years.

Learn more about "Linear equation" from here: https://brainly.com/question/11897796

#SPJ9

If a Polygon is a rectangle then it is a square, so im pretty sure its a square

A polygon with four right angles is either square or rectangle.

Hence, option (B) is correct.

In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words, poly, which means numerous and gon, means sides.

Given that,

A polygon has four right angles.

Since, A polygon of four right angles, then there will be four sides of polygon.

Four sides which are right angle can frame either a square or a rectangle.

So with the help of options,

(A)  

A polygon has four right angles.

It is not compulsory, polygon can have more than four sides.

(B)

A polygon is either a square or a rectangle.

This condition is true, because if all sides of polygon are equal than it will square and if all sides are not equal, then it will rectangle.

So, polygon with four right angles is either square or rectangle.

To know more about Polygon on:

https://brainly.com/question/24464711

#SPJ2

Can't answer 1-6 cause I have no idea what you need

7) A triangle with two congruent sides is isosceles.

8) \(\overline{AC}\) and \(\overline{BC}\)

9) \(\angle C\)

10) \(\overline{AB}\)

11) \(\angle A, \angle B\)

12) isosceles triangle

Answer:

6xy^2=3x(2y²)    common factor 3x

25a³b²=5a²b²(5a)

6x+6y+6p = 6(x+y+p)

The dot product of vectors an and b is -60√2. Here the dot product of vectors an and b also |a| = 80, |b| = 30, and the angle between a and b is 3/4, you can use the following formula to find a · b:

a · b = |a| * |b| * cos(angle)
First, we need to convert the angle from 3/4 to radians, as the cosine function typically takes radians as input: angle = (3/4) * π
Now, plug the values into the formula: a · b = 80 * 30 * cos((3/4) * π)
Compute the cosine value: a · b = 80 * 30 * (-√2 / 2)
Finally, multiply the values together: a · b = -60√2
So, the dot product of vectors a and b is -60√2.

Learn more about dot products here, https://brainly.com/question/31389049

#SPJ11

The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

g(5) = -1

Step-by-step explanation:

g(5)= -(5)+4

g(5)= -1

Answer:

-1

Hope you could get an idea from here.

Doubt clarification - use comment section.

꧁TheoriesMadeTheWorld꧂

The fact that z requires that you know the population standard deviation sigma is one reason why a t distribution rather than the normal curve is used to identify critical values when determining a level C confidence interval for a population mean.

C is the right response. The fact that z requires that you know the population standard deviation sigma is one reason why a t distribution rather than the normal curve is used to identify critical values when determining a level C confidence interval for a population mean.

Depending on whether we know the population standard deviation or not, we either use a z distribution or a t distribution when computing a confidence interval for a population mean. We use a z distribution when we know the group standard deviation. We employ a t distribution when it is unclear what the population standard deviation is.

The population standard deviation is not known, so we use the sample standard deviation to determine it.

Learn more about deviation here:

https://brainly.com/question/23907081

#SPJ4

Answer:

$8,000

Step-by-step explanation:

The computation of the amount that paid by the insurance company to Beth is  shown below:

The damage is of $10,000

So here 80: 20 represents that 80% is paid by the insurance company and 20% you would be paid

So

= Structural damage × percentage paid by the insurance company

= $10,000 × 80%

= $8,000

Hence, the correct option is third

Answer:

You may just add 2 in the spot. Moreover, you get no solution.

Step-by-step explanation:

Hope this helped!

Answer:

A. You bring $40 to the carnival. You need to keep at least $5 for the bus ride home. how many $3 dollar rides can you go on

Step-by-step explanation:

Answer:

ummmmmmmmmm m?mmm?mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

know more about polynomial function  :brainly.com/question/11298461

#SPJ11

Answer:

the answer is 3.6

can you also please mark me as brainliest?

thanks

Answer:

One solution

Step-by-step explanation:

I added a photo of my solution

Answer:

The system has one solution: (0, 4).

Answer:

y = - 3x - 2

Step-by-step explanation:

The function is linear and can be expressed in slope- intercept form

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

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table

m = \(\frac{1-4}{-1-(-2)}\) = \(\frac{-3}{-1+2}\) = \(\frac{-3}{1}\) = - 3 , then

y = - 3x + c

To find c substitute any ordered pair into the equation

using (0, - 2 ) , then

- 2 = - 3(0) + c = 0 + c ⇒ c = - 2

y = - 3x - 2 ← function rule

Answer:

y = - 3x - 2

Step-by-step explanation:

In the provided problem of collection survay data the researchers use the Cluster Analysis data analysis techniques.

Cluster analysis is a statistical technique for processing data. It works by organizing items into groups or clusters based on how closely related they are.

Cluster analysis, similar to reduced-space analysis (factor analysis), deals with data matrices in which the variables have not been previously split into reference and prediction subsets. The goal of cluster analysis is to find similar groups of subjects. Here, “similarity” between each pair of subjects means a global measure of the entire set of traits.

The most common use of cluster analysis is classification. Subjects are divided into groups such that each subject is more similar to other subjects within that group than subjects outside the group.

Cluster analysis used in following areas

In the context of market research, this can be used to identify categories such as age ranges, income ranges, urban, rural, or suburban locations.

Marketing can use cluster analysis for audience segmentation to target different customer groups with the most relevant messages.

To learn more about cluster analysis, refer:

https://brainly.com/question/13099195

#SPJ4

Answer:

1.B

2.B

hope this helps

Answer:

B. 62mph

B. 55weeks

Step-by-step explanation:

496 ÷ 8 = 62

15weeks/3houses = x weeks/11houses

15 × 11 ÷ 3 =55weeks

good luck, i hope this helps :)

Given:

The fraction of treaters dressed up us halloween, x=2/15.

Let the total trickers be taken as 1.

Now, the proportion of treakers that were not dressed up as spiderman is,