Find the value of the polynomial x2–3xy+ 1/2 y2 if x= 1/2 and y= 2/3 .

We are required to find the expected sales revenue of the month

The answers are given below

S = $9000

S = $18,600

A = $500

S = 15,012

Given:

S = 9000 + 12A

Where,

S = Monthly sales revenue

A = monthly advertising expenditure

a. If the firm does not spend on advertisement

S = 9000 + 12A

Where,

A = 0

S = 9000 + 12A

S = 9000 + 12(0)

S = $9000

b. If the firm spends $800 on advertising one month

S = 9000 + 12A

= 9000 + 12(800)

= 9000 + 9600

= 18,600

S = $18,600

c. S = 9000 + 12A

When

S = $15,000

15,000 = 9000 + 12A

15000 - 9000 = 12A

6000 = 12A

A = 6000/12

= 500

A = $500

d. If the firm increases monthly expenditure on advertising by $1

If A increases to $501

S = 9000 + 12A

= 9000 + 12(501)

= 9000 + 6,012

= 15,012

S increases to $15,012

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The range and the domain of the function f(x) =  1 - x^2 is less than or equal to 1 and all values of x are a real number (R).

Domain: x ∈ R

Range: f ( x ) ≤ 1, ∈ R

f ( x ) = 1 − x^2 is defined for all Real values of x, and therefore the domain is all real values ( R ).

x^2 has a minimum value of 0 (for x ∈ R ) and therefore − x^2 has a maximum value of 0 and − x^2 + 1 = 1 − x^2 has a maximum value of 1.

Therefore f (x) has a maximum value of 1 and the range of f ( x ) is ≤ 1.

So, the range of f(x)≤ 1, and the domain is all real values ( R ).

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Answer:

El padre pago el 63% del valor del juego, es decir, $57.

Step-by-step explanation:

Si el valor total del juego es de $90, y el redactor aportó una quinta parte del total del precio, el total aportado por él es de $18 (90 / 5 = 18). A su vez, su hermana María aportó una sexta parte del valor, es decir $15 (90 / 6 = 15). Por ende, el padre de los niños aportó $57 (90 - 18 - 15 = 57), es decir, el 63% del valor total.

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

The number of cabinets that can be placed along the wall is 15.

It should be noted that in this scenario, we simply have to calculate the perimeter.

This will be:

= 2(length + width)

= 2(1 1/2 + 6)

= 2(7 1/2)

= 15

Therefore, the number of cabinets that can be placed along the wall is 15.

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Answer:

23 units on the x axis

Step-by-step explanation:

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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The best approximation of the factor by which the population increases over a ten years period will be 6.19.

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

A certain buffalo population increases by a factor of 1.2 each year.

Then the best approximation of the factor by which the population increases over a ten years period will be

→ 1.2¹⁰

→ 6.1917

→ 6.19

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Answer:

9/25 or 36%

Step-by-step explanation:

3/(2+3)= 3/5 chance of drawing a red marble

(3/5)*(3/5)=9/25  chance of drawing 2 red marbles with replacement because you are drawing TWO times.

Plot each point along the x and y-axis.

After connecting the all the points from 1 - 27, below is the image that was formed:

Two octagon was formed (8-sided polygon) and an 11-sided polygon.

Answer:

f = 14.26 m (2 dp)

Step-by-step explanation:

Sum of interior angles of triangle = 180°

⇒ missing angle = 180 - 40 - 90 = 50°

Using sin(A)/a = sin(B)/b = sin(C)/c

⇒ sin(40)/f = sin(50)/17

⇒ 17sin(40) = f sin(50)

⇒ 17sin(40) ÷ sin(50) = f

⇒ f = 14.26 m (2 dp)

The minimum side length of the triangle needed to complete the triangle is 5 feet.

A polygon that has three sides and three vertices is called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The two sides of the triangle are 7 feet and 3 feet.

Let a = 7 and b = 3.

The minimum possible value,

= Max(a, b) - Min(a, b) + 1

= 7 - 3 + 1

= 5 feet.

Therefore, the minimum length is 5 feet.

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suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

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To find:

The area of the shaded region.

Solution:

From the figure, it is clear that the length and width of the rectangle inside the circle are 75m and 40m. The diameter of the circle is 85m. The radius of the circle is 85/2m.

The shaded region is equals (area of the circle - area of the rectangle).

So, the area of the shaded region is:

Thus, the area of the shaded region is 2676.79 m^2.

Answer:

452.4

Step-by-step equation:

surface area of a sphere formula= 4πr²

plug 6 in for r

4π(6)² =452.389 rounded  to 452.4

Answer:

second option. One lap around the mall is equal to about 2,425 steps

TheThe statement that  is true about the graph of the line representing Debi’s data is: One lap around the mall is equal to 2,425 steps.

Given:

With the 0 lap she has 1,875 steps

With 1 lap she has 4,300 steps

Hence:

One laps around the mall= 4,300 steps-1,875 steps

One laps around the mall=2,425 steps

Therefore the correct option is B.

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Answer:

A) 1320 yeards

Step-by-step explanation:

.25 mile is 440 yards so js multiply by 3

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

Answer:

f = -1

Step-by-step explanation:

Answer: ($19.8, $20.8)

Step-by-step explanation:

Confidence interval for mean : \(\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}\) , where \(\overline{x}\) = Sample mean, n= sample size, \(\sigma\) = population standard deviation, z* = two tailed critical z-value.

Given:  \(\overline{x}\) = $20.3

n= 2333

\(\sigma\) = $11.3

For  98% confidence,  z* = 2.326

Then, the98% confidence interval for population mean will be:

\(20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)\)

Hence,  the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)

Answer:

I believe that $0.97 would be right

Step-by-step explanation:

10.25 - 1.52 = 8.73, divide 8.73 by 9 to get 0.97

The number of times the Team Olympus could have tied is not given in the below options

Given data ,

Let's use "W" for the number of victories and "T" for the number of ties. The information available indicates that Team Olympus played 19 games and earned a total of 28 points.

Team Olympus receives three points for each victory, so three victories would result in a total of nine points.

Team Olympus receives one point for each tie, making the sum of the tie-related points (T) equal to one times the number of ties.

We may construct the following equation using the information provided:

3W + 1T = 28   be equation (1)

Now , Since Team Olympus played 19 games in total, the total number of games (W + T) should be equal to 19.

W + T = 19   be equation (2)

Subtracting equation (2) from equation (1) , we get

2W = 9

Divide by 2 on both sides , we get

W = 4.5 wins

And , the supplied possibilities (3, 4, 2, 5, 0) do not add up to a total of 28 points, hence none of them are acceptable answers for Team Olympus.

Hence , in this situation, Team Olympus could not have tied many times

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The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

As pre the concept of vector, div F is negative at P1 and divF is positive at P2.

In math the term vector refers the quantity that has both magnitude and direction but not position

Here we have to determine whether div F is positive or negative at P1 and at P2.

Let us consider if  div F(P)>0, the net flow is outward near P and P is called a source and if  div F(P)<0, the net flow is inward near P and P is called a sink.

Here by observing the graph of F, we have identified that the vectors end near the P1 are the larger than the vectors starts near the point P1,

So, the net flow is inward near P1 and div F is negative at P1

Where P1 is called a sink

Whereas, by observing the graph of F we have identified that the vectors end near P2 are shorter than the vectors starts near the point P2,

So, the net flow is outward and div F   is positive at P2 and the P2 is called a source

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Answer:

Step-by-step explanation:

16% of $28,980 = 0.16×$28,980 = $4,636.80

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Step-by-step explanation:

This is of the form

(x-h)^2 + ( y-k)^2 = r^2        so r^2 = 16  means r = 4   units