13- (-9)

explain how you got this answer

16+ only please answer this

Answer:

n = {-1, 7}

Step-by-step explanation:

8n² - 56 = 48n

Subtract 48n from both sides

8n² - 48n - 56 = 0

Divide both sides by 8

n² - 6n - 7 = 0

Factor

alternately use the quadratic equation or complete the square

(n - 7)(n + 1) = 0

n = {-1, 7}

Answer:

12.5 hrs

Step-by-step explanation:

For auto body charges, the equation will be

cost = 125 + 18 h..............eq 1

For car care charges, the equation will be

cost = 200 +12 h.............eq 2

for the cost to be equal,

From eq 1 and eq 2

125 + 18 h = 200 + 12h

18h - 12h = 200-125

6h = 75

h = 75/6 = 12.5 hrs

12.5 hrs both shops need to work for the prices to be equal

Answer:

The slope is −4 . The equation is in slope-intercept form, y=mx+c , where m is the

Step-by-step explanation:

thanks me

Answer:

\(y = \frac{1}{3}x + 5\)

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other:  \(m = - \frac{1}{m_{2} }\), or equivalently, \(m_{1} * m_{2} = -1\).

Given our linear equation  3x + y = 3  (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is \(\frac{1}{3}\).

To test whether this is correct, we can take first slope,  \(m_{1} = -3\),  and multiply it with the negative reciprocal slope \(m_{2} = \frac{1}{3}\) :

\(m_{1} * m_{2} = -1\)

\(-3 * \frac{1}{3} = -1\)

Therefore, we came up with the correct slope for the other line, which is  \(\frac{1}{3}\).

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

\(y = \frac{1}{3}x + 5\)

Answer: here ya go

Sponsored by calderonj4588pics.org

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

\(The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways = 120 \times 220 = 26,400 \ ways\)

Therefore, the number of ways is 26,400 ways

The area of a square is given by the formula A = s^2, where s is the length of a side of the square.

Here, the length of a side of the square is given as 25 32 by 24 m. This means that the side length is somewhere between 25 and 26 meters, since 32 by 24 is a fraction between 1 and 2.

To find the exact side length, we can convert the mixed number 25 32 by 24 to an improper fraction:

25 32 by 24 = (25 x 32 + 24) / 32 = 824 / 32

Simplifying this fraction by dividing both the numerator and denominator by 8 gives:

824 / 32 = 103 / 4

Therefore, the side length of the square is 103/4 meters.

Now we can find the area of the square:

A = (103/4)^2

 = 10609/16

 = 663.06 square meters (rounded to two decimal places)

Therefore, the area of the square is approximately 663.06 square meters.

Learn more about area of the square  here: brainly.com/question/17262684

#SPJ11

The required, 4.5 × 10⁵ as an ordinary number is 450,000.

An ordinary number is a number that is expressed in the usual way, using digits 0-9 without any exponent notation or other mathematical symbols.

4.5 × 10⁵ means 4.5 multiplied by 10 raised to the power of 5. To write this as an ordinary number, we simply need to perform this multiplication:

4.5 × 10⁵ = 4.5 × 100,000 = 450,000

Therefore, 4.5 × 10⁵ as an ordinary number is 450,000.

Learn more about ordinary numbers here:

https://brainly.com/question/7244720

#SPJ1

The exponential function for the graph is obtained as y = 3^x.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

Assume that the plot of a function is in the form -

y =ab^x

where the horizontal asymptote is the x-axis.

To find a, look for the coordinate where the curve crosses the y-axis.

In the plot, it is seen that this happens at (0,1).

So, the value of a = 1.

To find b, look for the coordinate where the curve crosses the vertical line at x = 1.

In the plot, it is seen that this happens at (1,3).

Then, b is the number divided by a -

b = 3/1 = 3.

This plot is the curve -

y = 3^x

Therefore, the exponential function is y = 3^x.

To learn more about exponential function from the given link

brainly.com/question/12626186

#SPJ1

Therefore , the solution of the given problem of trigonometry comes out to be value of csc⁡θ = √13/2.

Relationships between trigonometry and cubic splines It is believed that the field of mathematics was established around the third millennium BC, when the professions and mathematicians were combined. Numerous geometric problems can be resolved using precise mathematical techniques, and they can also be used to predict the results of calculations that employ them.

Here,

Given :

=> csc⁡θ

If cot⁡θ=-3/2

So,

According to the formula :

=>  1 + cot⁡²θ = csc²⁡θ

=> 1 + (-3/2)² = csc²⁡θ

=> 1 + 9/4   = csc²⁡θ

=> csc²⁡θ  = 13/4

=>csc⁡θ = √13/2

Thus , value of csc⁡θ = √13/2.

Therefore , the solution of the given problem of trigonometry comes out to be value of csc⁡θ = √13/2.

To know more about trigonometry visit:

https://brainly.com/question/29002217

#SPJ4

Answer:

The center of the circle is

Step-by-step explanation:

Equation of a circle is given by

where r is the radius

(h, k) is the center of the circle

The center of a circle is given by

( - h , - k)

From the question equation of the circle is

( x + 4)² + ( y - 2)² = 16

Comparing with the general equation above

( h , k) = ( 4 , - 2)

The center of the circle is

( - h , - k) = ( - 4 , -(-2))

We have the final answer as

Hope this helps you

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

To know more about Greek visit:

brainly.com/question/30200246

#SPJ11

The value of x with 15, we get \(C(15) = 5(15) + 300 = 75 + 300 = 375.\) Therefore cost of producing 15 widgets is $375.

The cost function is given by: C(x) = 5x + 300 where x is the number of widgets to be produced. In this case, we need to find C(15) and explain its meaning. C(15) refers to the cost of producing 15 widgets. The cost function is given by: C(x) = 5x + 300 where x is the number of widgets to be produced.

C(15) refers to the cost of producing 15 widgets. The cost function is a mathematical formula that provides the relationship between the total cost of production and the number of units produced. In this case, the cost function is given by C(x) = 5x + 300 where x is the number of widgets to be produced.

To know more about cost visit:

https://brainly.com/question/19261126

#SPJ11

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

1.632 ft cubic

Step-by-step explanation:

Volume = width * height * length

Volume = 0.6 * 0.8 * 3.4

Volume = 0.48 * 3.4

Volume = 1.632 ft cubic

Hope this helps.....

Have a good day ahead :)

Answer:

1/7 is the smallest fraction

Step-by-step explanation:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguements. Im general,a theorem is a embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem th be correct is called a proof

The system that is represented by the graph is inequality 3

What is system of inequalities?

A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem requires a variety of solutions and those solutions must satisfy multiple constraints, systems of inequalities are used.

We are given the graph of inequalities and given 4 choices out which 1 is the correction representation of the inequalities given in the graph

Now As you  can see one the parabolas open downwards that means the term x^2 is negative in that case where as the other parabola opens upwards hence the term x^2 is positive.

So second and third options are the options which satisfies this criteria

if we put x = 0 in the second equation of both the inequalities we get y= 4

This criteria is satisfied by only inequality 3 hence the correct system of inequality is inequality 3

To learn more about system of inequality please refer the following link

https://brainly.com/question/28230245

#SPJ1

Answer:y ≥ x2 – 2x + 4

y < –x2 + 4

Step-by-step explanation:

The missing side length in the figure is (a) 24 units

From the question, we have the following parameters that can be used in our computation:

The similar polygons

To calculate the missing side length, we make use of the following equation

A : 30 = 4 : 5

Where the missing length is represented with A

Express as a fraction

So, we have

A/30 = 4/5

Next, we have

A = 30 * 4/5

Evaluate

A = 24

Hence, the missing side length is 24 units

Read more aboyt similar shapes at

brainly.com/question/11920446

#SPJ1

The absolute maximum of f(x) occurs at x = 0 and the antiderivative of f(x) is F(x) = -2ex + C, where C is determined by the given condition to be -2e-1.

(a) The absolute maximum of f(x) is attained when x=0. This is because the derivative of f(x) is f'(x) = ex, which is positive for all x≠0, and so the function is strictly increasing when x>0, and strictly decreasing when x<0. Thus, the maximum value of f(x) must occur at x=0.

(b) The antiderivative of f(x) is F(x) = -2ex + C, where C is an arbitrary constant.

(c) Since we are given that f(0) = e-1, this implies that C = -2e-1. Thus, the value of ∫f(x)dx from 0 to c is ∫-2ex + 2e-1dx from 0 to c = -2ec + 2e-1c - 2e-1 = -2ec + 2e-1(c-1).

The absolute maximum of f(x) is attained when x=0. The antiderivative of f(x) is F(x) = -2ex + C, where C is an arbitrary constant. The value of ∫f(x)dx from 0 to c is ∫-2ex + 2e-1dx from 0 to c = -2ec + 2e-1(c-1). Given that f(0) = e-1, this implies that C = -2e-1.

The absolute maximum of f(x) occurs at x = 0 and the antiderivative of f(x) is F(x) = -2ex + C, where C is determined by the given condition to be -2e-1.

Learn more about absolute maximum here:

https://brainly.com/question/29030328

#SPJ4

Answer:

m = 5

Step-by-step explanation:

Given

\(\frac{m-2}{6}\) = \(\frac{1}{2}\) ( multiply both sides by 6 to clear the fraction )

m - 2 = 3 ( add 2 to both sides )

m = 5

Answer:

The correct answer is c.) 3/36.There are three favorable outcomes (2, 11, and 12) out of a total of 36 possible outcomes (assuming a fair six-sided number cube). Therefore, the probability of X being a 2, 11, or 12 is 3/36, which can be simplified to 1/12.

Step-by-step explanation:

The speed of the plane is the rate of change of distance over time

The speed of the plane should be 453.65 mph southwest

The speed of the wind is given as:

\(\mathbf{S_w = 38.7mph}\)

The expected speed of the plane is:

\(\mathbf{S_s = 452mph}\)

So, the actual speed is calculated using the following Pythagoras theorem

\(\mathbf{S_{sw}^2 = S_w^2 + S_s^2}\)

This gives

\(\mathbf{S_{sw}^2 = 38.7^2 + 452^2}\)

\(\mathbf{S_{sw}^2 = 205801.69}\)

Take square roots of both sides

\(\mathbf{S_{sw} = 453.65}\)

Hence, the speed of the plane should be 453.65 mph southwest

Read more about speed at:

https://brainly.com/question/19261234

Answer:

13

Step-by-step explanation:

Answer:

y-3= -11/6(x+1)

Step-by-step explanation:

y-3 = -11/6(x-(-1)

y-3 = -11/6(x+1)

Let x be an even integer then x+2 is the next consecutive even integer.

We need to look at \((x+2)^2 - x^2\), since that's the difference between the squares of any two consecutive even integers.

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

                     \(=4x+4\)

                     \(=4(x+1)\)

Since that difference is 4 times something, it is a multiple of 4.