If the profit function for a product is P(x) = 3600x + 60x^2 – x^3 - 72,000 dollars, selling how many items, x. will produce a maximum profit? x = ____ item
Find the maximum profit. $ ____

Let's begin by listing out the information given to us:

PTA has 180 soda packs to sell = 180 soda packs

Each pack of soda cost $9.99 = $9.99 /soda

PTA sold 95 packs of soda before school = 95 soda packs

To find how much money the PTA collected after school, we will have to find the number of soda packs sold after school

To get the number of soda packs sold after school, subtract the number of soda packs sold before school from the total number of soda packs.

Mathematically,

Number of soda packs sold after school = 180 - 95 = 85 soda packs

How much money did the PTA collect when selling sodas after School = Number of soda packs sold after school * Cost of each soda pack

= 85 * 9.99 = $849.15

Answer: 16 2/3 divided by 1/6= 100

Step-by-step explanation:

-5(-2,-4)

10,20

-2(-2,-4)

4,8

answer:10,20 and 4,8

Answer:

b: 12x=180

Step-by-step explanation:

10 and -10 cancel , so only 12x is left. and every triangle is 180 degrees. so you just set them equal

Using the concept of standard deviation, it is found that the standard deviation of the data-set will remain the same.

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Answer:

The Break Even point is the point at which the cost=revenue   14,980+20x=30x 14,980=10x 1,498=x   a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960   b. The profit function is P(x)=R(x)-C(x) So P(x)=30x-(14,980+20x) If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.

Hoped I helped

The profit for 90 downloads will be;

⇒ P = $223

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Your revenue for x downloads is given by,

⇒ f(x) = 3x

And, Your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit.

Now,

Since, Your revenue for x downloads is given by,

⇒ f(x) = 3x

And, Your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit.

Hence, We can formulate;

⇒ P = 90% of f (x) - 20

⇒ P = 90/100 × 3x - 20

⇒ P = 270x/100 - 20

⇒ P = 2.7x - 20

So, The profit for 90 downloads​ will be;

⇒ P = 2.7 × 90 - 20

⇒ P = $223

Thus, The profit for 90 downloads = $223

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We will repeat the exact same procedure. Something may have gone wrong.                                                                                                    

The special theory of relativity by German-born scientist Albert Einstein contains the equation \(E=mc^{2}\), which conveys the idea that mass and energy are one and the same physical substance and may be transformed into one another. The kinetic energy (E) of a body is equal to its increased relativistic mass (m) multiplied by the square root of the speed of light.

Because the mass and the speed of light are both constants, we are unable to test a new variable. Since our findings don't match the accepted formula, we cannot share them.

The result obtained is wrong we cannot apply it to another experiment. The only way we can find the correct result is by repeating the experiment. Because something may have gone wrong on the first attempt.

Therefore, the correct answer is

d) Repeat the exact same procedure.  

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The correct question is: Suppose you conduct one experiment and find that the \(E=mc^{3}\), rather than the historically accepted formula, \(E=mc^{2}\). What should you do next?

a.Test a new variable

b.Share your findings

c.Apply your results to a new experiment

d.Repeat the exact same procedure                                                                                                                                                                                                                                                                                                                                                                                      

We use the chi-square distribution when making inferences about a single population variance.

Short Description of Chi-Square Distribution

The continuous probability distribution known as the chi-square distribution. The number of degrees of freedom (k) a chi-square distribution has determines its shape. This type of sampling distribution has a variance of 2k and a mean equal to its number of degrees of freedom (k). The range is of a chi-square distribution is from 0 to ∞.

Variance plays a key role in the analysis of risk and uncertainty. The sample variance, an unbiased estimator of population variance, is expressed by the following formula of core statistic for a sample size 'n' and Y' as the sample mean:

S² = ∑(Yₓ - Y') / (n-1)

The formula, (n-1)S² / σ² has the central chi-square distribution as χ²ₙ₋₁. Here (n-1) represents the degrees of freedom.

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Answer:

Carbon dioxide is a chemical compound composed of one carbon and two oxygen atoms. It is often referred to by its formula CO2. It is present in the Earth's atmosphere at a low concentration and acts as a greenhouse gas.

Step-by-step explanation:

There is also more to know about this. It's also a chemical.

Answer:

1/2x-4

Step-by-step explanation:

Since we don't know the number (unknown) we simplify it as a variable, x.

Then since you're taking half of x, place 1/2 next to x. Finally subtract 4, and it concludes to 1/2x-4.

Answer: x= -4

Step-by-step explanation: slope = (y2-y1)/(x2-x1).

(4-7)/(-7-x)

-3/-7-x=1

Multiply both sides by -7-x

-3=-7-x

Add 7 to both sides

4=-x so x = -4

Answer:

___________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

___________________________________________________________

According to the question ,

a) \(\sqrt{18} =\sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}\)

b) \(\sqrt{12} =\sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}\)

c) \(\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}\)

Answer:

C = $33,057.92

The cost of the pillar is $33,057.92

Step-by-step explanation:

Given;

Radius of the concrete r = 4 m

Height h = 7 m

Cost per volume R = $94 per cubic meter

π = 3.14

The volume of the cylinder shape concrete is;

V = πr^2 h

Substituting the given values;

V = 3.14×4^2 × 7

V = 351.68 m^3

The cost of the pillar is C;

C = Volume × cost per volume

C = V × R

C = 351.68 m^3 × $94 per cubic meter

C = $33,057.92

The cost of the pillar is $33,057.92

By solving the equation by the method of completing the squares, it can be obtained that

\(x = 1 + \sqrt{\frac{1}{2}}i\) or \(x = 1-\sqrt{\frac{1}{2}}i\) are the solutions.

What is Quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

Here the method of completing the squares is used.

\(2x^2 - 4x +3=0\)

\(2(x^2 - 2x + \frac{3}{2})=0\\x^2 - 2x + \frac{3}{2}=0\\x^2 - 2x + 1^2 -1^2+\frac{3}{2}=0\\(x - 1)^2+\frac{1}{2} = 0\\(x - 1)^2 = -\frac{1}{2}\\x-1= \sqrt{-\frac{1}{2}}\\x = 1 \pm \sqrt{\frac{1}{2}}i\)

\(x = 1 + \sqrt{\frac{1}{2}}i\) or \(x = 1-\sqrt{\frac{1}{2}}i\)

where \(i = \sqrt{-1}\)

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The value of ∫∫df(x)g(y)da is -20.

The value of ∫∫df(x)g(y)da, where d is the rectangle: −2≤x≤−1, 1≤y≤5, is 20.What is the solution to the given problem?The given problem is about calculating the value of ∫∫df(x)g(y)da, where d is a rectangle. The limits for x and y are given.

We have to use the given values to find the solution. We have to solve it step-by-step:Step 1: Find the value of f(x)The value of ∫−2−1f(x)dx=−5By definition of integration, we can say that:∫−2−1f(x)dx = F(-1) - F(-2)Where F(x) is the antiderivative of f(x)Taking the inverse of the equation, we can say that:F(-1) - F(-2) = ∫−2−1f(x)dxNow, we have to find the antiderivative of f(x) to find the value of F(-1) and F(-2). Let's suppose, the antiderivative of f(x) is F(x).

Then:F(x) = ∫f(x)dxSo, according to the given information, we can write:F(-1) - F(-2) = ∫−2−1f(x)dx = -5Step 2: Find the value of g(y)The value of ∫15g(x)dx=4By definition of integration, we can say that:∫15g(x)dx = G(5) - G(1)Where G(x) is the antiderivative of g(x)Taking the inverse of the equation, we can say that:G(5) - G(1) = ∫15g(x)dxNow, we have to find the antiderivative of g(x) to find the value of G(1) and G(5). Let's suppose, the antiderivative of g(x) is G(x).

Then:G(x) = ∫g(x)dxSo, according to the given information, we can write:G(5) - G(1) = ∫15g(x)dx = 4Step 3: Calculate the given expression∫∫df(x)g(y)daThe value of f(x) is not given, but the value of ∫−2−1f(x)dx is given. Similarly, the value of g(x) is not given, but the value of ∫15g(x)dx is given. So, we can replace the given values in the expression.

Then:∫∫df(x)g(y)da = ∫−2−1 ∫1^5 f(x) g(y) dydx = ∫−2−1 g(y) ∫1^5 f(x) dydxSince we have to find the value of this expression for the rectangle with limits −2≤x≤−1, 1≤y≤5, then:∫∫df(x)g(y)da = ∫−2−1 g(y) ∫1^5 f(x) dydx = ∫1^5 g(y) ∫−2−1 f(x) dxdyUsing the given information, we can replace the value of ∫−2−1 f(x)dx and ∫15g(x)dx.

Then:∫∫df(x)g(y)da = ∫1^5 g(y) (-5) dydx = -5 ∫1^5 g(y) dydxSince the given limits are rectangular, we can use the Fubini's theorem. It states that, if the function is integrable over the rectangle [a, b] x [c, d], then:∫∫[a,b] x [c,d] f(x,y) dxdy = ∫[a,b] dx ∫[c,d] f(x,y) dy = ∫[c,d] dy ∫[a,b] f(x,y) dxNow, we can change the order of integration:∫∫df(x)g(y)da = -5 ∫1^5 g(y) dydx = -5 ∫−2−1 f(x) dx ∫1^5 g(y) dydx = -5 (4) = -20Therefore, the value of ∫∫df(x)g(y)da is -20.Note: In the given question, the given limits for the rectangle are not properly defined. So, we have to consider that the limits are rectangular.

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\(\\ \sf\longmapsto 2a^2-2ab-3b^2-9\)

\(\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9\)

\(\\ \sf\longmapsto 2(9)-12-3(4)-9\)

\(\\ \sf\longmapsto 18-12-12-9\)

\(\\ \sf\longmapsto 6-18\)

\(\\ \sf\longmapsto -12\)

Answer:

3

Step-by-step explanation:

2(3)^2 - 2(3)(2) - 3(2)^2 + 9

2(9) - 12 - 3(4) + 9

18 - 12 - 12 + 9

= 3

Answer from Gauth math

Step 1: Concept

To arrange the sides of a triangle from the smallest to largest, use the interior angles of the triangle.

Step 2:

The smallest angle face the smallest side and the largest angle face the largest side.

List all the given angle

m< F = 62

m< E = 63

m< G = 55

Step 3:

Angle mAngle mAngle m

Final answer

EF , EG, FG Option A

Answer:

false

Step-by-step explanation:

angles cant get tan they dont have skin

The expression  2 * f(9) – g(–5) of the given functions will give us - 53.

We are given the functions;

f(x) = –x² + 10x – 16  

g(x) = |11 – 2x² |

FInd f(9) means we plug in 9 as input value for x in the function f(x). This gives;

f(x) = –x² + 10x – 16  

f(9) = -(9)² + 10(9) - 16

f(9) = -7

Find g(-5) means we plug in -5 as input value for x in the function g(x). This gives;

g(x) = |11 – 2x² |

g(-5) = | 11 - 2(-5)² |  

g(-5) = | -39| = 39

Find 2 * f(9) – g(–5):

2 * f(9) – g(–5) = 2 (-7) - (39) = -53

Thus, the expression  2 * f(9) – g(–5) of the given functions will give us - 53.

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The statement "the heights of the bars represent relative class frequencies" is true. The correct answer is C.

A histogram is a graphical representation of the distribution of numerical data. It is commonly used to display the frequency distribution of continuous data in a graphical form.

The horizontal axis of the histogram represents the range of values of the variable being measured, and this range is divided into equal intervals called bins. The vertical axis represents the frequency, or the number of times a value appears in each bin.

The statement "the heights of the bars represent relative class frequencies" is also true. In a histogram, the height of each bar represents the frequency or count of data points that fall within each bin. This height is proportional to the frequency of data points within each bin, and it is often normalized to show the relative frequency of each bin.

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Given the expression

simplifying

then the correct answer is

option A

512x^3 - 1

Answer:

The equation that matches the function shown is option;

C. \(y = sin\left (\dfrac{1}{2} \cdot x\right)\)

Step-by-step explanation:

The given graph of the function is a sinusoidal graph

The values of 'x' and 'y' coordinates at the maximum, x-intercept and minimum points are given as follows;

x, \({}\)      y

0    \({}\)   0

π \({}\)       1

2·π   \({}\) 0

3·π \({}\)    -1

4·π \({}\)    0

We note that sin(π/2) = 1, sin(π) = 0 sin(3·π/2) = -1, and sin(4·π/2) = sin(2·π) = 0

Therefore;

y = the sine of half the x-value

Which is presented as follows;

\(y = sin\left (\dfrac{1}{2} \cdot x\right)\).

Answer:

40 km

Step-by-step explanation:

The number 0.0098 has two significant digits.In scientific notation, it can be written as 9.8 x 10^(-3), where the digits 9 and 8 are significant.

The leading zeros before the 9 do not contribute to the number of significant digits. Therefore, the correct answer is option a. 2.

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