The demand for good X has been estimated by Qxd = 6 − 2Px + 5Py. Suppose that good X sells at $3 per unit and good Y sells for $2 per unit. Calculate the own price elasticity.

Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16

Answer:

10

Step-by-step explanation:

15 / 6 = 2.5

25 ÷ 2.5 = 10

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Answer:

3.84 x  10^5

Step-by-step explanation:

Answer:

3.84x10^5

Step-by-step explanation:

count how many times the decimal was moved to the right and that is the exponent

The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

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In total, he spend $510 after discount.

A deduction taken from the gross amount or worth of anything, such as  a price decrease made from the standard or list price, giving clients a 10% discount to purchase tickets. A proportionate withdrawal from a loan account, typically done in exchange for cash or quick payment.

Given Data

Coats are discounted 30%

Suits are discounted 25%

Joe purchased a coat of $300

= 300 - \(\frac{30}{100}\) × 300

= 300 - 90

= 210

He purchased coat for $210.

He purchased a suit $400.

Suits are discounted 25%

= 400 - \(\frac{25}{100}\) × 400

= 400 - 100

= 300

He purchased suit for $300.

In total, he spend $510 after discount.

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The answer is 1.1 acres.

Given data:

Answer:

Step-by-step explanation:

If you toss the coin 4 times, you get 2 * 2 * 2 * 2 possible outcomes, which is 16 outcomes.

There is only 1 outcome where P(x = 0) is possible and that would be

T T T T

one out of 16 is .0625. So

Answer: P(x = 0 )  = 0.0625

Answer:

P (x = 0)  1/16 = 0.0625

Step-by-step explanation:

We toss a fair coin 4 times.

HT HT HT HT      4/4   of each if TH TH TH TH etc..

HT HT HT TH     3/4

HT HT TH HT    3/4

HT HT TH TH    1/2

Let X count heads. Find P(X = 0) to nearest ten thousandth (4 decimal places).

P (x = 0)  1/16 = 0.0625

We cna find the average by multiplying a midpoint on one half findings on one side ie) 4/4 x 3/4 x 3/4 x 1/2  = 0.2813

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

7.99*10^7

is the answer to your question

Answer: 7.99×10\(x^{-7}\)

Step-by-step explanation:

7.99 times 10\(x^{-7}\) = 0.00000799

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given ordered pair

STEP 2: Explain trasnformation for x units to the right

To shift an ordered pair to the right means to add, therefore, the translation of 5 units to the right for ordered pairs will be:

STEP 3: Explain transformation x units down

To shift an ordered pair down means to subtract from the y-coordinate, therefore, the translation of 2 units down will be:

Hence, the new ordered pair will be:

Answer:

\( 16 \: {m}^{2} \)

Step-by-step explanation:

Area of the quadrilateral

\( = \frac{1}{\cancel 2} \times 8 \times \cancel 2 + \frac{1}{\cancel 2} \times 8 \times \cancel 2 \\ \\ = 8 + 8 \\ \\ = 16 \: {m}^{2} \)

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

The rate at which the volume of the cube is changing is 1200 in³/seconds.

Volume is the space occupied by a solid object.

To calculate the rate at which the volume of the cube is changing, we use the formula below.

Formula:

Where:

From the question,

Given:

If, the volume of a cube is V = L³,

Then,

Substitute these values into equation 1

Hence, the rate at which the volume is changing is 1200 in³/seconds.
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The perimeter and area of the square are; 24√2 units and 12 units² respectively

Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)

But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.

SQ = √(x₂ - x₁)² + (y₂ - y₁)²

SQ = √(2 - (-4)² + (5 - 11)²

SQ = 6√2

Let's find QU

QU = √(-4 - 2)² + (-1 - 5)²

QU = 6√2

Let's find UA ;

UA = √(-10 - (-4))² - (5 - (-1)²

UA = 6√2

And the distance AS = 6√2

The perimeter of the square = 4 (6√2)

Perimeter = 24√2 units

The area of the square = l²

Area of the square = (6√2)²

Area of square = 12 units²

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i dunno i think its 5 plus 50 plus 80 plus 90 x [50]

The expression 5x + 2x denotes the total cost of buying the same x number of candies of $5 and $2.

5 and 2 are constant and x is a variable.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Two types of candy.

Cost of candy = $5  and $2

Now,

5x + 2x is the expression for the total amount sold for selling x number of both candies.

Now,

5x + 2x

5 and 2 are constant values and it represents the cost of each type of candy.

x is a variable and it represents the number of candies sold.

Thus,

The expression is explained above.

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The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

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Answer:84

Step-by-step explanation:

Tarik will be able to sell his vehicle for $23,000 + $2,110.94 = $25,110.94 with the given depreciation rate.

A loss in an asset's value, or depreciation, can also be brought on by other reasons like bad market circumstances, etc. Some examples of assets that are likely to lose value over time are machinery, equipment, and money. Appreciation, which is a rise in an asset's value through time, is the opposite of depreciation.

Given that, Tarik just bought a sweet ride for $ 25,999.

Thus, after 5 years of depreciation. We can use the formula:

current value = original value * (1 - depreciation rate) raised to time.

Substituting the values we have:

current value = 25,999 * (1 - 0.007)⁵

current value = 25,999 * 0.965

current value = 25,110.935

So after 5 years, the vehicle will have depreciated to a value of $25,110.94.

Now, Tarik wants to sell the vehicle for $23,000:

$23,000 = current value - depreciation

depreciation = current value - $23,000

depreciation = $25,110.94 - $23,000

depreciation = $2,110.94

Therefore, Tarik will be able to sell his vehicle for $23,000 + $2,110.94 = $25,110.94.

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Answer:

First sentence is false

second sentence is true

third sentence is false

and the last one is true

Step-by-step explanation:

Step-by-step explanation:

the first person is right

1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.

2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Question 1.

In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;

Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6

Mean number of text for Jada = 30/6

Mean number of text for Jada = 5.

Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6

Mean number of text for Diego = 36/6

Mean number of text for Diego = 6.

Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6

Mean number of text for Lin = 24/6

Mean number of text for Lin = 4.

Question 2.

In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;

Standard deviation = √(1/n × ∑(xi - u₁)²)

Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]

Standard deviation for Jada = √(6/6) = 1

Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]

Standard deviation for Diego = √(14/6) = 1.53

Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]

Standard deviation for Lin = √(76/6) = 3.6

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The population in the year 2023 is 120,780.

The growth is linear hence, the equation of the growth is
y=ax+b where b represents the initial population and a is the number of people growing yearly.

So, according to the question statement, we have that

y=280x+b where x is the number of years past and y is the population in the xth year.

According to the given problem population in 2022 will be 120,500.

Suppose that the initial population is taken at 2000.

Hence, 120,500=280×(2022-2000)+b

⇒b=120,500-280×22

⇒b=120,500-6,160

    =114,340

So, the Linear equation becomes

y=280x+114,340

⇒y=280×(2023-2000)+114,340

⇒y=120,780

Hence, the population in the year 2023 is 120,780.

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I hope this helps you

y=10-8x

2(10-8x)-4x=40

20-16x-4x=40

-20x=20

x=-1

y=10-8(-1)=18

(-1,18)

Answer:

(-1, 18)

Step-by-step explanation:

(2y-4x=40)x2

4y-8x = 80

4y-8x+y+8x=80+10

5y = 90

y = 90/5

y = 18

Substituting y into the first equation:

18 + 8x = 10

8x =-8

x = -1

Answer:

-6 + 6 - 12t *

0 - 12t *

12t *

Therefore the answer is 12t *

Answer:

The number of weeks required = 216 weeks

Step-by-step explanation:

Given that:

Margin of Error E = 200

Confidence interval = 95% = 0.95

Level of SIgnificance  = 1 - C.I

= 1 - 0.95

= 0.05

Standard deviation = 1500

The Critical value for Z :

\(Z_{\alpha/2} =Z_{0.05/2} \\ \\ = Z_{0.025} = 1.96\)

The number of weeks( i.e the sample size (n) ) required is :

\(n = (\dfrac{Z_{\alpha/2} \times \sigma}{E})^2\)

\(n = (\dfrac{1.96 \times 1500}{200})^2\)

\(n = (14.7)^2\)

n = 216.09

n ≅ 216 weeks

\(\\ \sf\longmapsto f(x)=\dfrac{x-1}{x+1}\)

\(\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{f(x)}=dfrac{x+1}{x-1}\)

Now

\(\\ \sf\longmapsto f^{-1}(3)=\dfrac{3+1}{3-1}=4/2=2\)

And

\(\\ \sf\longmapsto (f^{-1})'(3)=f(3)=\dfrac{3-1}{3+1}=2/4=1/2\)

Done

Answer:

$2600

Step-by-step explanation:

It is given that the variables:

A = total income

t = amount of TV they sell.

It is also given that they sold 9 TVs. Plug in 9 for t in the given equation:

A = 800 + 200t

A = 800 + 200(9)

A = 800 + 1800

A = 2600

$2600 is the total amount they will receive if they sell 9 TVs.

~

Answer:

$1,094.93

Step-by-step explanation:

The income is how much money you make. You lose the money you spend. To find how much money you have left, just subtract the income with everything you spent.

This means the final answer is: 2725.98 - (1250.00 + 325.78 + 55.27) = $1,094.93