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The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

A list of steps, in order, that will solve the following equation include the following:

In order to create a list of steps and determine the solution to the equation, we would have to add 5 to both sides and divide both sides by 2 in order to open the parenthesis as follows;

2(x + 3) – 5 = 123

2(x + 3) – 5 + 5 = 123 + 5

2(x + 3) = 128

By dividing both sides of the equation by 2, we have the following:

2(x + 3)/2 = 128/2

x + 3 = 64

By subtracting 3 from both sides of the equation, we have the following:

x + 3 - 3 = 64 - 3

x = 61

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Answer:

Step-by-step explanation:

A triangular pyramid has 6 edges, 4 vertices, and 1 base

Answer:

9 hours

Step-by-step explanation:

Answer: P(x) has a constant rate of change, but A(x) does not

Step-by-step explanation:

Answer:

if your destination is 180 miles away and you drive 60 mph how long does the trip take? So it takes 3 hrs.

Step-by-step explanation:

Answer:

f

Step-by-step explanation:

Answer:

Even Numbers -2, 2, 4, 6, 8, 10, 12

Step-by-step explanation:

Odd numbers - 3,-1,1,3,5,7,9,11

Answer:

3a+10

Step-by-step explanation:

3a+6+4

3a=10

5a-2a=3a+6+4

3a=10

Answer:

A and B

Step-by-step explanation:

-(5/3) = -1.67

-5/3 = -1.67

5/-3 = -1.67

5/3 ≠ -1.67

-5/-3 ≠ -1.67

-(-5/3) ≠ -1.67

Step-by-stepAnswer:

explanation:

Your search - Function 1 Function 2 101 х у 11 - 2 6 -1 0 1 1 1 -4 2 -9 Function 3 Function 4 y=-3x - 2 The ... - did not match any documents.

Suggestions:

Make sure that all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Answer:

y-8=-7/5(x-5)

Step-by-step explanation:

find the slope by rewriting the line's equation.

5y=3-7x

5y=-7x+3

y=-7/5x +3/5

since its parallel, the slope will be the same (-7/5)

use the formula y-y1=m(x-x1) for the point (5,8)

y-8=-7/5(x-5)

rearrange in the form y=mx+b if you wish.

Answer:

$22808.1

Step-by-step explanation:

Aₙ = A₁ × rⁿ⁻¹

A₁ = $26,833

r = 85% or 0.85. This is because the 1st Value is $26,833, so that value will be 100%. Since the value is decreasing by 15% each year we remove 15% leading us to use 85% has our common ratio

Geometric Sequence: Aₙ = $26,833 × 0.85ⁿ⁻¹

In this geometric sequence, n is the number of years. Since we are doing 2 years, n = 2.

A₂ = $26,833 × 0.85²⁻¹

A₂ = $26,833 × 0.85

A₂ = $22808.1

Answer:

y=3/6x+2

Step-by-step explanation:

3x-6y=-12

-6y= -3x-12

-6y/-6= -3x/-6 -12/-6

cancels out

y=3/6x+2

A residual for a multiple regression model and the data that is used to create it is A: "The difference between the actual value of the response variable and the corresponding predicted value (regression error) using the multiple regression model".

The data used to create the multiple regression model includes the response variable and the predictor variables. The multiple regression model is used to predict the value of the response variable based on the values of the predictor variables. The residual is the difference between the actual value of the response variable and the predicted value of the response variable using the multiple regression model. It is an important measure of the accuracy of the multiple regression model.

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Answer:

1:3

Step-by-step explanation:

If you divide 9 by 3 you get three. If you divide 3 by three you get 1.

you cannot simplify that down anymore, so it is a 1:3 ratio.

Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

Answer:

1005.3 cm³

Step-by-step explanation:

Let's begin by listing out the given variables:

diameter (d) = 8 cm ⇒ r = 4 cm, height (h) = 20 cm

Formula for volume of cylinder is, πr²h

V = πr²h = π * 4² * 20 = 1,005.31 cm³

V ≈ 1005.3 cm³

Answer: 1005 cm^3

Step-by-step explanation: Got it correct on test!

Answer:

3w+3y-3

Step-by-step explanation:

Use distributive property

-(-3w-3y+3)

= 3w+3y-3

If it is correct, please give me brainliest :)

Answer:

The answer for this question is 2√3 + 2.

Step-by-step explanation:

6√3 - 4√3 + 2

= ( 6 - 4 )√3 + 2

= 2√3 + 2   ans...

Hope its helpful :-)

If so, please mark me as brain-list :-)

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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b. There are 5,040 possible combinations if Miranda can use each number only once in the four-number combination.

If Miranda can use each number only once in the four-number combination, the number of combinations possible can be calculated using the concept of permutations.

There are 10 choices for the first number, 9 choices for the second number (as one number has already been used), 8 choices for the third number (as two numbers have already been used), and 7 choices for the fourth number (as three numbers have already been used).

Therefore, the total number of combinations is calculated as:

10 × 9 × 8 × 7

= 5,040

So, there are 5,040 possible combinations if Miranda can use each number only once in the four-number combination.

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Answer:43675869KM

Step-by-step explanation:

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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Have a GREAT day!!!

Answer: 50 not sure just is the close to the nearest tenth

Answer:

If i am understanding your question correctly the slope equation would be y=2x+(-8)

Step-by-step explanation:

So 2 is gonna be your slope -8 is your y intercept, you are going to put a point at (0,-8) and the slope is always rise over run so you are going to rise up 2 points on your y axis and move to the right 1 unit on your x axis. You should have two points now, to finish your line keep going up 2 units and to the right 1 unit.

Hope this helps!

Answer:

495 ft²

Step-by-step explanation:

To answer this, you need to subtract the area of the rhombus from the area of the square.

SQUARE:

A = bh

25x25=625

RHOMBUS:

A = bh

13 x 10 = 130

625 - 130 = 495

Answer:

I will assume that ABCD is a parallelogram.

1. In a parallelogram, opposite sides are congruent so 3x = 18 which means x = 6.

2. The diagonals of a parallelogram bisect each other so BE is half of BD, therefore, BD = 7.5.

3. Consecutive angles of a parallelogram are supplementary so m∠ADC = 180° - 135° = 45°.

4. Consecutive angles of parallelograms are supplementary so 2x + 10 + 135 = 180 → 2x + 145 = 180 → 2x = 35 → x = 17.5°.

5.  Again, the diagonals bisect each other so -6 + 8v = 9v - 10 → v = 4.

6. DA || BC so ∠DAC and ∠ACB are (congruent) alternate interior angles, therefore, m∠DAC = 37°.

7. The area of a parallelogram is base * height; we know base = 18 and height = 21 u so area = 378 u.