The cost of product is birr 92 & the company is having a policy of 15% mark-up on cost,then what tha sale price will be?

The smallest possible value for G is 1, which makes A = 9. Therefore, the value of x is 9.

To find the value of x, we need to set up an equation using the given information. Let's use the following variables:- A = the number of algebra books,- G = the number of geometry books, - a = the thickness of an algebra book, - g = the thickness of a geometry book. We are given that it takes A algebra books and G geometry books to fill the shelf:
Aa + Gg = Shelf,  We are also given that 5/6 of the algebra books and 3/4 of the geometry books would fill the same shelf: (5/6)Aa + (3/4)Gg = Shelf,  And we know that 3/4 of the algebra books alone would fill the shelf:
(3/4)Aa = Shelf. Now, we can use these equations to solve for x. First, let's divide the second equation by the third equation:

[(5/6)Aa + (3/4)Gg] / [(3/4)Aa] = Shelf / Shelf.

So [(5/6)Aa + (3/4)Gg] / [(3/4)Aa] = 1.

Now, let's simplify the equation: (5/6)A + (3/4)G = (3/4)A.  To eliminate the fractions, multiply both sides by 12:
10A + 9G = 9A. Now, isolate A: A = 9G. We know that A and G are distinct positive integers. So, the smallest possible value for G is 1, which makes A = 9. Therefore, the value of x is 9.

Learn More About Algebraic Expression: https://brainly.com/question/4344214

#SPJ11

Answer: a) Let Q be an orthogonal matrix and let λ be an eigenvalue of Q. Then there exists a non-zero vector v such that Qv = λv. Taking the conjugate transpose of both sides, we have:

(Qv)^T = (λv)^T

v^TQ^T = λv^T

Since Q is orthogonal, we have Q^TQ = I, so Q^T = Q^(-1). Substituting this into the above equation, we get:

v^TQ^(-1)Q = λv^T

v^T = λv^T

Taking the norm of both sides, we have:

|v|^2 = |λ|^2|v|^2

Since v is non-zero, we can cancel the |v|^2 term and we get:

|λ|^2 = 1

Taking the square root of both sides, we get |λ| = 1.

b) Let Q1 and Q2 be orthogonal matrices. Then we have:

(Q1Q2)^T(Q1Q2) = Q2^TQ1^TQ1Q2 = Q2^TQ2 = I

where we have used the fact that Q1^TQ1 = I and Q2^TQ2 = I since Q1 and Q2 are orthogonal matrices. Therefore, Q1Q2 is an orthogonal matrix.

Answer:

1) $30,000 + $12x

(2) $50x

(3) $38x - $30,000

(4) 790 CD's to break even

Given that,

Variable cost = $12 per CD

Fixed cost = $30,000

Selling price = $50 each

Let x be the number of CD's produced,

(1) Total cost function:

C(x) = Fixed cost + Variable cost

     = $30,000 + $12x

(2) Total revenue:

R(x) = Units produced × selling price of each unit

     = $50x

(3) Total profit:

P(x) = R(x) - C(x)

     = $50x - ($30,000 + $12x)

     = $50x - $30,000 - $12x

     = $38x - $30,000

(4) Number of CD's which must be produced to break even:

Total profit = 0

$38x - $30,000 = 0

x = $30,000 ÷ $38

 = 789.47 or 790 CD's to break even.

Hope this helps! :)

Answer: F

Step-by-step explanation:

We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.

Also, its modulus is the distance from the origin, which in this case is \(\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16\)

The answer that best matches this is F

The weighted weekly mean of t-shirt sales is 5.6.

The total number of weeks reported is the sum of the frequency column.

1+4+7+3 = 15 weeks

The total number of t-shirts sold is calculated as the product of the quantity of t-shirts sold and the number of weeks during which those t-shirts were sold.

2*1 + 4*4 + 6*7 + 8*3 = 2 + 16 + 42 + 24 = 84

The weighted mean, which is the product of the total quantity of t-shirts and the total number of weeks, represents the average number of T-shirts sold every week:

84/15 = 5.6

Response: 5.6

Learn more about mean here

https://brainly.com/question/15323584

#SPJ4

Answer:

x = 5

Step-by-step explanation:

Hello there!

We'll start off my combining or getting rid of/simplifying like terms.

10x -9 = -2x - 69

+2x        +2x

12x-9=   -69

Now we want to get rid of the 9 so we can have an equal balanced equation

12x -9 = -69

      +9    +9

12x = -60

Now isolate the x to solve

12x = -60

12x/12= -60/12

x = -5

Hope this help you and feel free to comment if u have any questions or need further explanation :)

The values into the equation, you can determine the molar absorptivity (ϵ) at λmax for the blue dye in units of cm−1·μm−1.

To determine the value of ϵ (molar absorptivity) at λmax (wavelength of maximum absorption) for the blue dye, we would need access to the specific data from the spectrometer simulation.

Without the actual values, it is not possible to provide an accurate answer.

The molar absorptivity (ϵ) is a constant that represents the ability of a substance to absorb light at a specific wavelength. It is typically given in units of L·mol−1·cm−1 or cm−1·μm−1.

To obtain the value of ϵ at λmax for the blue dye, you would need to refer to the absorption spectrum data obtained from the spectrometer simulation.

The absorption spectrum would provide the intensity of light absorbed at different wavelengths.

By examining the absorption spectrum, you can identify the wavelength (λmax) at which the blue dye exhibits maximum absorption. At this wavelength, you would find the corresponding absorbance value (A) from the spectrum.

The molar absorptivity (ϵ) at λmax can then be calculated using the Beer-Lambert Law equation:

ϵ = A / (c * l)

Where:

A is the absorbance at λmax,

c is the concentration of the blue dye in mol/L, and

l is the path length in cm (in this case, 1 cm).

By substituting the values into the equation, you can determine the molar absorptivity (ϵ) at λmax for the blue dye in units of cm−1·μm−1.

To know more about absorptivity refer here:

https://brainly.com/question/30697449#

#SPJ11

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The y-coordinate for the point located 3/5 the distance from L to M is 6.

A line segment is a part of a line that extends between two endpoints. The length of a line segment can be calculated by determining the difference between the coordinates of the endpoints of the line segment, both horizontally (the x-coordinates) and vertically (the y-coordinates).

Using these information, we will find the coordinates of a point which is 3/5 of the distance from L to M.

The distance between L(0,1) and M(2,8) is calculated as follows:

d(L, M) = √[(8 - 1)² + (2 - 0)²] = √65.

To determine the x-coordinate of the point 3/5 of the way from L to M, we can use the formula:

x = x₁ + (3/5)(x₂ - x₁) = 0 + (3/5)(2 - 0) = 1.2

To determine the y-coordinate of the point, we can use the formula:

y = y₁ + (3/5)(y₂ - y₁) = 1 + (3/5)(8 - 1) = 6

Therefore, the y-coordinate of the point 3/5 of the way from L to M is 6.

Learn more about line segment from the given link

https://brainly.com/question/280216

#SPJ11

Answer and Step-by-step explanation:

\(\pi\) is pi, or 3.14159

The absolute value of -4 ( |-4| ) is 4.

These numbers should go in this order:

-10   <   0.121212...   <   \(\pi\)   <   |-4|   <   \(5\frac{1}{2}\)

Have a good day!

#teamtrees #PAW (Plant And Water)

Answer:

-10,  0.121212,  π,  (-4),  5 1/2

this (-4) means absolute value of -4

Hope this helps!

12% × 34 = 4.08

34% × 12 = 4.08

Sam is the one who's correct

Step-by-step explanation:

2×-5=-8 and 2×-5/8=-1.25

Answer:

x = 10.5

Step-by-step explanation:

I'll assume this is the equation: (2x-5)/8 = 2

(2x-5)/8 = 2

(2x-5) = 16   [Multiply both sides by 8]

2x = 21        [Add 5 to both sides]

x = (21/2)    [Divide both sides by 2]

or x = 10.5

\(\frac{4}{6}\) simplified is \(\frac{2}{3}\) this plus \(\frac{5}{7}\) equals 1\(\frac{8}{21}\)

Answer:

The satellite needs to be about 6,000 to 12,000 altitude because the higher it is the more it can connect to technology on earth

Step-by-step explanation:

Im not 100% sure but this is what I got for this question

The satellite needs to be about 6,000 to 12,000 altitude above the surface of Earth need to be so it provides the maximum coverage of its signal.

What should be the altitude of the satellite ?

A communications company is planning to launch a new satellite into orbit to improve the operation of its network. The longest distance that the satellite can send a reliable signal is 4,500 miles.

Thus, The company is trying to determine the optimal height to operate the satellite so that it has maximum coverage of Earth within its range.

The satellite needs to be about 6,000 to 12,000 altitude because the higher it is the more it can be connect to technology on earth.

LEarn more about satellite here;

https://brainly.com/question/14096148

#SPJ2

(x_1+x_2)=-b/a=18/3=6

x_1x_2=c/a=-21/3=-7

So

(x_1-x_2)²

x_1-x_2=8

Answer:

\(x{_1}^2+x{_2}^2=50\)

\(|x_1-x_2|=8\)

Step-by-step explanation:

Given equation:

\(3x^2-18x-21=0\)

Factor to find the roots:

\(\implies 3(x^2-6x-7)=0\)

\(\implies x^2-6x-7=0\)

\(\implies x^2+x-7x-7=0\)

\(\implies x(x+1)-7(x+1)=0\)

\(\implies (x-7)(x+1)=0\)

Therefore:

\(\implies (x-7)=0 \implies x=7\)

\(\implies (x+1)=0 \implies x=-1\)

Therefore, the roots of the quadratic equation are:

\(x = 7,\quad x = -1\)

Let  \(x_1 = 7\)

Let  \(x_2 = -1\)

\(\implies x{_1}^2+x{_2}^2=7^2+(-1)^2=50\)

\(\implies |x_1-x_2|=|7-(-1)|=8\)

The number if miles per gallon is 35 miles.

How to solve the box plot.

From the information, it was stated that the box plot shows a gas mileage for twenty cars.

Therefore, based on the boxplot, the top 25 percent of the cars have a typical gas mileage of at least 35 miles per gallon.

Learn more about box plots on: brainly.com/question/1523909

20796

Answer:

SAS

Step-by-step explanation:

We have 2 sides that are congruent and the angle between them

We can use SAS ( side angle side) to prove congruency

Answer: 37.5%

Step-by-step explanation:

There are 8 separate area

and among them are 3 Cs.

Thus the probability is

⅜ times 100 = 37.5 (%)

Answer:

the answer is 9

Step-by-step explanation:

I just did the test

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient. This value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

The closer the coefficient is to -1 or 1, the stronger the correlation, while values near 0 indicate a weak or no correlation. Positive correlation, negative correlation, and no correlation are types of relationships between two variables.

Positive correlation (A) means that both variables tend to increase (or decrease) together. When one variable increases, the other also increases, and when one decreases, the other also decreases.

Negative correlation (B) means that two variables tend to change in opposite directions, with one increasing while the other decreases. When one variable increases, the other tends to decrease, and vice versa.

No correlation (A) means that there is no apparent relationship between the two variables. The changes in one variable do not seem to consistently affect the changes in the other variable.

To know more about strength of a correlation visit:
https://brainly.com/question/30777155

#SPJ11

The square root of 13 is 3.6055512755. The next whole number is 4.

The 90% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment is -21.3% to -16.1%, which represents the range of values within which the true difference is likely to fall.

To construct the confidence interval, we first calculate the sample proportions for Democrats and Republicans: p₁ = 644/700 ≈ 0.92 for Democrats, and p₂ = 323/850 ≈ 0.38 for Republicans.

Next, we calculate the standard error of the difference using the formula: SE = √((p₁(1-p₁)/n₁) + (p₂(1-p₂)/n₂)), where n₁ and n₂ are the sample sizes.

Using the given sample sizes, the standard error is approximately 0.019.

To determine the margin of error, we multiply the standard error by the z-score corresponding to a 90% confidence level, which is approximately 1.645.

Finally, we calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error from the difference in sample proportions: 0.92 - 0.38 ± (1.645 * 0.019).

The resulting confidence interval is approximately -21.3% to -16.1%, which represents the range within which we can estimate the overall difference in the percentages of Democrats and Republicans prioritizing environmental protection.

You can learn more about confidence interval at

https://brainly.com/question/15712887

#SPJ11

To solve the system of equations U = 2x^2 + 3y - 4 and V = y + sin(x) using the Newton-Raphson method, we need to first define our initial guess for x and y. Let's start with x = 1 and y = 1.

Next, we need to find the partial derivatives of U and V with respect to x and y:

dU/dx = 4x
dU/dy = 3
dV/dx = cos(x)
dV/dy = 1

Using these partial derivatives, we can set up the following equations for our iteration process:

x(n+1) = x(n) - (dU/dx*dV/dy - dV/dx*dU/dy)^-1 * (V - V(x(n),y(n)))
y(n+1) = y(n) - (dU/dx*dV/dy - dV/dx*dU/dy)^-1 * (U - U(x(n),y(n)))

Plugging in our initial guess values and solving, we get:

x(1) = 1 - (4*1*1 - cos(1)*3)^-1 * (1 + sin(1) - (2*1^2 + 3*1 - 4))
     = 0.7725
y(1) = 1 - (4*1*1 - cos(1)*3)^-1 * (2*0.7725^2 + 3*1 - 4 - sin(0.7725))
     = 0.3402

Using these values as our new guess, we can repeat the process until we reach a desired level of accuracy.

Note: The Newton-Raphson method may not always converge to a solution, depending on the specific system of equations and initial guess values used.
To solve the given system of equations using the Newton-Raphson (NR) method, we first need to set up the system in a more suitable form. The given equations are:

1. U = 2x^2 + 3y - 4
2. V = y + sin(x)

We want to find the values of x and y that satisfy both equations simultaneously. The Newton-Raphson method is iterative and requires partial derivatives. We first rewrite the equations as:

F(x, y) = 2x^2 + 3y - 4 - U = 0
G(x, y) = y + sin(x) - V = 0

Now, we calculate the partial derivatives:

∂F/∂x = 4x
∂F/∂y = 3
∂G/∂x = cos(x)
∂G/∂y = 1

Next, we set up the iteration formula using the inverse Jacobian matrix:

[x_n+1] = [x_n] - J^(-1) * [F(x_n, y_n), G(x_n, y_n)]^T

where J^(-1) is the inverse Jacobian matrix:

J^(-1) = 1/((4x)(1) - (3)(cos(x))) * |  1  -cos(x) |
                                                   | -3    4x   |

To apply the NR method, choose initial values for x and y (x_0, y_0), and iterate the above formula until the solution converges. Keep in mind that the NR method can be sensitive to the initial values chosen, and may not converge in all cases. If it doesn't converge, you might need to try different initial values or use another numerical method.

Visit here to learn more about equations  : https://brainly.com/question/29538993
#SPJ11

Answer: (-∞,2)

Step-by-step explanation: 2 is not included in the interval since at x=2, the function crosses the x axis, meaning it is not positive, and instead 0.

All x values below 2 are positive.

The probability of the number being odd or at most 16 is 11/18, or approximately 0.61.

To solve this problem, we need to find the probability of the number being odd or at most 16. Let's first find the probability of the number being odd:

There are 36 odd numbers from 1 to 72 (1, 3, 5, ..., 71). Since the number is chosen at random, each number has an equal probability of being chosen. Therefore, the probability of the number being odd is:

P(odd) = number of odd numbers from 1 to 72 / total number of numbers from 1 to 72

= 36 / 72

= 1/2

Now, let's find the probability of the number being at most 16:

There are 16 numbers from 1 to 16 (1, 2, 3, ..., 16). Therefore, the probability of the number being at most 16 is:

P(at most 16) = number of numbers from 1 to 16 / total number of numbers from 1 to 72

= 16 / 72

= 2/9

To find the probability of the number being odd or at most 16, we need to add the probabilities of these two events and subtract the probability of their intersection (i.e., the probability of the number being both odd and at most 16). Since the set of odd numbers from 1 to 72 and the set of numbers at most 16 from 1 to 72 are disjoint, their intersection is the empty set, and its probability is 0. Therefore:

P(odd or at most 16) = P(odd) + P(at most 16) - P(odd and at most 16)

= 1/2 + 2/9 - 0

= 11/18

So the probability of the number being odd or at most 16 is 11/18, or approximately 0.61.

For such more questions on probability

https://brainly.com/question/30307253

#SPJ11

Answer:

100 - 6n

Step-by-step explanation:

each book costs 6 and there are n books.

their total price is 6n

In this movie, the ratio of children to adults suggests that there are 27 children in attendance.

We have to give that,

There are 9 children for every 4 adults.

This means that if there were 13 people, 9 of them would be children and 4 would be adults.

Children would therefore be:

= 9 / 13

If there were 39 people, the number of children would be:

= 9/13 x 39

= 27 children

In conclusion, there are 27 children.

To learn more about the function visit:

https://brainly.com/question/11624077

#SPJ4

The complete question is,

In the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults in the movie.

How many children are in the movie?

Step-by-step explanation:

Equation 1: \(3x^{2} +7x-6\)

Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.

Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.

1. The parabola should open upwards: a> 0

2. \(3x^2+7x-6\) (a>0), y-int is negative (0s for x's)

                     3(0)^2 + 7(0) -6

                                   y= -6

Step 2:

1. Factor the original equation: (3x-2)(x+3)

x=2/3, -3

2. Strategy used (factor by grouping)

Equation 2: -\(x^{2}\) + 3x - 6

Equation 2 should represent a parabola that opens down and has a negative y-intercept.

Parabola that opens down = a<0

Ax^2 + Bx + C

-\(x^{2}\) + 3x - 6

Negative y-intercept: -(0)^2 +3(0) -6 = y= -6

Strategy to solve: Quadratic formula

Why? - This equation doesn't factor cleanly.

Show your work:

a= -1 b= 3 c= -6

Write the quadratic formula down (\(x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}\)) ± not just +

Show step, solve.

x​= 1.5 + 1.9365i

Equation 3:

Sorry, I can't do this.

Equation 4 :\(x^{2} -1\)

You decide.

Alright, easy parabola.

1. Does parabola open up or down. UP

2. Is there a vertical stretch or compression? NO

3. What is the y-intercept- (0,-1)

\(x^{2} -1\)

Strategy: Simple factoring patterns (Difference of squares) -

(x+1)(x-1)

x = + 1

Show work: x^2 is square of x,

Equation 5: \(x^{2} -3x+15\)

x^2−3x+15

a=1 b= -3 c=15

(\(x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}\)) ± not just +

Good luck! Sorry that I couldn't do equation 3, vertical stretches are not my thing.