Solve for x:
|x|+8 = -3

(a) 40 unit have to be the number of units sold that will yield maximum revenue.

(b) The price per unit that will yield maximum revenue, will be $1.195.

(a) We have to find the number of units sold that will yield maximum revenue

Given demand function is

D(x)=130e^{-0.025x}

where is the number of units sold each week

Revenue function R(x) = xD(x)

R(x) = x∙130e^{-0.025x}

To find maximum revenue put,

R’(x) = 0

⇒d/dx(x∙130e^{-0.025x}) = 0

⇒130 d/dx(x∙e^{-0.025x}) = 0

⇒130[e^{-0.025x}+xe^{-0.025x} ∙(-0.025x)]=0

⇒130e^{-0.025x} ∙(1-0.025x)=0

⇒1 - 0.025x=0

⇒0.025x = 1

⇒x = 1/0.025

⇒x = 40units

R''(x) = 130d/d[x(e^{-0.025x}-0.025xe^{-0.025x} )]

R''(x) = 130[-0.025e^{-0.025x}-0.025e^{-0.025x}+0.00625xe^{-0.025x}]

R''(x)|x=40 = 130-0.025*40[0.050+0.00625*40]

R''(x)|x=40 = 130/e ∙(-0.025)

R''(x)|x=40 = (130*(-0.025))/e < 0

At x= 40 units, the revenue will maximize.

$0 units will yield maximum revenue.

(2) Now we have to find the price per unit that will yield maximum revenue.

D(x) = 130e-0.025x

D(40) = 130e^{-0.025*40}

D(40) = 130e^{-1}

D(40) = 130/e

D(40) = 47.82(in dollar)

Price per unit = d(40)/40

Price per unit = 47.82/40

Price per unit = $1.195

The price per unit that will yield maximum revenue, will be $1.195.

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Answer:

the solution to the trigonometric inequality cos(0.65x) > 0.44 over the interval 0 ≤ x < 4.834.

Step-by-step explanation:

The given inequality is:

cos(0.65x) > 0.44

To solve this inequality, we need to isolate the variable x.

First, let's take the inverse cosine (arccos) of both sides to remove the cosine function:

arccos(cos(0.65x)) > arccos(0.44)

Since the range of the inverse cosine function is limited to [0, π], we can rewrite the inequality as:

0 ≤ 0.65x < π

Now, let's solve for x by dividing each part of the inequality by 0.65:

0/0.65 ≤ x < π/0.65

Simplifying, we have:

0 ≤ x < π/0.65

Now, let's calculate the approximate value of π/0.65 to determine the interval for x:

π/0.65 ≈ 4.834

i hope i helped!

Answer:

Step-by-step explanation:

   given equuation      10\(\sqrt{3x\)+4\(\sqrt{3x\)+5\(\sqrt{3x}\)

                                    =19\(\sqrt{3x}\)

the answer is 19\(\sqrt{3x}\)

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Answer:1.2

Step-by-step explanation:Subtract all the numbers that will give you your answer.

Your answer is: 1.2

Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10

The cook can serve 6 tables with the amount of rice in the bag.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Each bag of rice contains 2 whole 1/4th cups, and the cook plans on using 1/3 of a cup for each serving.

∴ The total number of servings can be obtained if we divide the total cups of rice by the cups of rice used in each serving which is,

= \(2\frac{1}{4}\div\frac{1}{3}\).

= (9/4)÷(1/3).

= (9/4)×(3/1).

= 27/4.

= 6.75 servings, but the cook can serve only 6 servings as he has little less.

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Answer:

a) quantitative - continuous

b) qualitative

c) quantitative - discrete

d) quantitative - discrete

Explanation:

A qualitative variable describes an object or its property without counting or measuring. Therefore it does not include any numbers.

A quantitative variable is one which results from counting or measuring a property of an object or situation. If the variable arises from counting, it is called discrete, and if it arises from any measurement, it is called continuous.

Answer:

D :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Braily please

The value of the variable x is 10

It is important to note that angles on a straight line are supplementary to each other.

Also, supplementary angles are defined as angles that sum up to 180 degrees

From the information shown on the diagram, we have the angles;

Now, equate the angles to 180, we have;

80 + 11x - 10 = 180

collect the like terms

11x = 180 - 70

subtract the like terms

11x = 110

Make 'x' the subject of formula

x = 10

Hence, the value is 10

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The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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Answer:

3 seconds for the ball to hit the ground.

Step-by-step explanation:

To calculate how long it will take for an object to drop(with no force of velocity), use \(-16t^{2}\) and 144 will be our initial height, so we use the equation:

\(f(x) = -16t^{2} + 144\)

Now, lets simplify this equation. We have a GCF (greatest common factor) of -16, which goes into 144, 9 times. Your simplified equation will look like this.

\(f(x) = -16(t^{2} - 9)\)

When we have two squares in a group of parentheses, we must simplify that. Therefore, we use the sum and difference pattern. The sum and difference pattern requires a -3 and 3, because two positives and/or two negatives would not result in a -9, so we must use one positive, and one negative. Therefore, we keep the GCF of -16, simplify \(t^{2} -9\), to get a final equation of:

\(f(x) = -16(t-3)(t+3)\)

Now, we solve for t to see how long it will take for the ball to reach the ground with no added velocity.

\(t=-3,3\)

Time can never be negative, when we are talking about a present-time situation. Therefore, we can not have -3 as an answer, and we have 3 as a final answer. It will take 3 seconds for the ball to reach the ground.

Answer:

y= -6

Step-by-step explanation:

-4x and 4x are canceled out. -2y+8y= 6y. -12-24=-36

You are left with 6y=-36 . Divide from both sides and -36/6 is -6. So, y=-6.

Hope this helped.

Answer:

slope=8

y intercept=-9

Step-by-step explanation:

the equation is in the form y=mx+b

where m is the slope and b is the y intercept.

Reggie is left with \(\dfrac{27}{8}\) yarns of fabric.

The total length of fabrics =  \(\dfrac{1}{8}+\dfrac{1}{4}+3\dfrac{1}{2}+2\dfrac{5}{8}+4\dfrac{3}{4}\)

                                            =  \(\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{7}{2}+\dfrac{21}{8}+\dfrac{19}{4}\)

The LCM of 4 and 8 is 8.

So, the expressions will be simplified by adding all the terms with the same denominator.

                      = \(\dfrac{49}{8}\)

The fabric used by Reggie = \(2\dfrac{3}{4}\)

                                              = \(\dfrac{11}{4}\)

The fabric left can be calculated by subtracting the total fabric he used from the total fabric he had.

Fabric left =\(\dfrac{49}{8} - \dfrac{11}{4}\)

The LCM of 8 and 4 is 8

Fabric left = \(\dfrac{49}{8} - \dfrac{22}{8}\)

                 =  \(\dfrac{27}{8}\)

So, he is left with \(\dfrac{27}{8}\) yarns of fabric.

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Answer:

don't know

.....................

Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

\(a^{2} = 3^{2} + 6^{2} = 45\)

Now user Pythagoras on triangle 2.

\(b^{2} = x^{2} + 6^{2} = x^{2} + 36\)

Now use Pythagoras on triangle 3 (the big triangle).

\((3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}\)

Now replace the values for \(a^{2}\) and \(b^{2}\) from the two equations derived from triangle 1 and 2:

\(x^{2} + 6x + 9 = 45 + x^{2} + 36\)

The two \(x^{2}\) get cancelled out, so:

\(6x + 9 = 45 + 36\\x = 12\)

TA DA!

ROA, ROE, and ROIC are important metrics for comparing the performance of different companies and can provide valuable insights into a company's financial health and competitiveness.

Return on assets (ROA), return on equity (ROE), and return on invested capital (ROIC) are among the most commonly used metrics for comparing the performance of different companies. These metrics are widely used by investors, analysts, and other stakeholders to evaluate a company's financial performance and to compare it with other companies in the same industry.

Return on assets (ROA) is a measure of a company's efficiency in using its assets to generate profits. It is calculated by dividing the company's net income by its total assets. A higher ROA indicates that a company is generating more profits from its assets, while a lower ROA suggests that the company is not using its assets as efficiently.

Return on equity (ROE) is a measure of how much profit a company generates in relation to the equity invested by its shareholders. It is calculated by dividing the company's net income by its total equity. A higher ROE indicates that a company is generating more profits for its shareholders and is a sign of a well-managed company.

Return on invested capital (ROIC) is a measure of how much profit a company generates in relation to the capital it has invested in its business. It is calculated by dividing the company's net income by its invested capital. A higher ROIC indicates that a company is generating more profits from its invested capital, while a lower ROIC suggests that the company is not using its capital as effectively.

In summary, ROA, ROE, and ROIC are important metrics for comparing the performance of different companies and can provide valuable insights into a company's financial health and competitiveness.

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Answer:

$270:$30

Step-by-step explanation:

add up the ratios = 10

then do 300/10 = 30

so 1 ratio = 30

this means the ratio will be: $270:$30

Let me know if this helped

Answer:

The cost would be D. 16.45

A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Answer:

Tetragonal unit cell.

Step-by-step explanation:

A unit cell is the smallest part of a material which is formed by a well arranged lattice points. Some common types are; face centered, body center, tetragonal, cubic etc

Tetragonal unit cell has a square top and base, with rectangular sides. The internal angles are \(90^{0}\) each, and consists of molecules, atoms, or ions (lattice points) arranged at each corners of the unit cell.

The crystal as described in the given question is a tetragonal unit cell.

Answer:

9:8 and 9 to 8

Step-by-step explanation:

Step-by-step explanation:

bring the common ones together

al +bl +am +bm

l(a+b) +m(a+b)

(l+m) (a+b)

The solution is (4, 125). This means that the cost of being in soccer and band for four months is the same, $125. It's where the costs of those two clubs intersect.

Step-by-step explanation:

The solution to a system of linear equations is the point where the two functions intersect. You can see from the graph that the two lines intersect at the point (4, 125)

This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5

El uso de las dadas operaciones es:

Para las operaciones "<", ">", y "=" uso es:

Entonces simplemente debemos comparar los dos números, si vemos al primer problema, por ejemplo:

3 ___ 17/2

Sabemos que 17/2 = 8.5

8.5 es más grande que 3, entonces el signo que debe ir ahi es:

3 < 17/2.

Todas las operaciones que estan colocados en la hoja ya son correctos.

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Step-by-step explanation:

x = number of cards

the production costs (PC) per day are

PC(x) = 264 + 1.1x

the sales (S) are

S(x) = 5.1x

the profit (P) per day is sales minus costs

P(x) = S(x) - PC(x) = 5.1x - (264 + 1.1x) =

= 5.1x - 264 - 1.1x = 4x - 264

we need to find the value of x, so that P(x) = 52.

52 = 4x - 264

316 = 4x

x = 316/4 = 79

79 cards must be delivered daily to make a profit of $52.

The percent error of the house of the pizza would be 2.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.

We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.

WE know that Error = Actual value - Estimated value

Then Error = 14 - 12 = 2

Therefore, the percent error would be 2.

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