HELP ASAP!! In the problem below there is an error in the math. Find the error and write what the error is in complete sentences. You will then work out the problem correctly.

HELP ASAP!! In The Problem Below There Is An Error In The Math. Find The Error And Write What The Error

Answers

Answer 1
They didn’t write the number in exponential form with the base of three in the first step.
_/27x^2 y^3

_/3^3 x^2 y^3

_/3^ x3^2 y^2 xy

= 3xy _/3y

Related Questions


f
) Solve by Gaussian-Jordan algorithm (reducing to rref). Show all the row operations you applied! -2x + 3y + z -3x + y + 3z = -2 = -4 2y - z = = 0

Answers

By applying the Gaussian-Jordan algorithm to the given system of equations, we can find the reduced row-echelon form (rref) of the system. The resulting rref shows that the system is consistent, and the solution is x = 1, y = -28/17, and z = -28/17.

We start by writing the augmented matrix of the system:

[ -2 3 1 -2 ]

[ -3 1 3 -4 ]

[ 0 2 -1 0 ]

To obtain the rref, we perform row operations to eliminate the coefficients below and above the pivots. Our goal is to transform the matrix into the following form:

[ 1 0 0 a ]

[ 0 1 0 b ]

[ 0 0 1 c ]

First, we divide the first row by -2 to make the pivot in the first column 1:

[ 1 -3/2 -1/2 1 ]

[ -3 1 3 -4 ]

[ 0 2 -1 0 ]

Next, we perform row operations to eliminate the coefficient -3 in the second row:

[ 1 -3/2 -1/2 1 ]

[ 0 2/2 9/2 -7 ]

[ 0 2 -1 0 ]

Then, we divide the second row by 2 to make the pivot in the second column 1:

[ 1 -3/2 -1/2 1 ]

[ 0 1 9/4 -7/2 ]

[ 0 2 -1 0 ]

Now, we perform row operations to eliminate the coefficient 2 in the third row:

[ 1 -3/2 -1/2 1 ]

[ 0 1 9/4 -7/2 ]

[ 0 0 -17/4 7 ]

Finally, we divide the third row by -17/4 to make the pivot in the third column 1:

[ 1 -3/2 -1/2 1 ]

[ 0 1 9/4 -7/2 ]

[ 0 0 1 -28/17 ]

The resulting rref shows that the system is consistent, and the solution is x = 1, y = -28/17, and z = -28/17.

Learn more about coefficient here:

https://brainly.com/question/29993529

#SPJ11

Please help !!!!!! Thanks

Answers

Step-by-step explanation:

[tex]2 \times 14 \times 13 +12 \times 10 + 14 \times 10 = \\ = 624[/tex]

How many solutions does the nonlinear system of equations graphed below
have?

Answers

The curves are intersecting at (-1.75, 2.5) and (1.75, 2)

Nonlinear functions include all functions that are not linear. The following are some instances of nonlinear functions: f(x) = x2 - 2x + 2, ln (x), ex, etc.

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(-1.75, 2.5) and (1.75, 2)

To learn more about, solutions of equation, here

brainly.com/question/14603452

#SPJ1

ect
Use the number line interactive to evaluate the
following expressions.
8 + 3 =
+
16
(-8) + (-5) =
<
(-8) + 2 =

Answers

Answer:

1. 11

2. -13

3. -6

Step-by-step explanation:

Hope this helps. Have a great day! (I got this correct on edge :})

48 - 5 + 7 · 3² ÷ (7-10)²

Answers

Answer:

the answer is 50

Answer:

50

Step-by-step explanation:

BODMAS/BIDMAS

48 - 5 + 7 x [tex]3^{2}[/tex] ÷ (7-10)²

= 48 - 5 + 7 x [tex]3^{2}[/tex] ÷ (-3)²

= 48 - 5 + 7 x [tex]3^{2}[/tex] ÷ 9

= 48 - 5 + 7 x 9 ÷ 9

= 48 - 5 + 63 ÷ 9

= 48 - 5 + 7

= 43 + 7

= 50

Find the area of a circle with radius 14 mm. Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

1cantimeter=10mm

14mm=1.4cm

Area of circle pi r²=pi*1.4²=1.96pi

i dont have a question for this. look at the photo​

Answers

Answer:

first is no second is yes third is no fourth is yes

Step-by-step explanation:

I'm not sure btw

or each of the following functions, find the constant c such that f(x)is a pdf; find the cdf, f(x)= p(x ≤ x); graph the pdf and cdf; and find μ and σ2: (a) f(x)= 4xc for 0 ≤ x ≤ 1

Answers

c = 1/2 ,the mean is μ = 1/2,  the CDF of f(x) is 2x^2   and the variance is σ² = 1/6.

The given pdf is f(x) = 4xc for 0 ≤ x ≤ 1.

To find the constant c such that f(x) is a pdf: We know that, For f(x) to be a pdf, it must satisfy the following two conditions:

The integral of f(x) over its support should be equal to 1. f(x) must be greater than or equal to 0 for all values of x. So,

Let us find the value of c first integral of f(x) from 0 to 1 should be equal to 1, therefore∫f(x)dx = ∫(4xc)dx for 0 ≤ x ≤ 1∫f(x)dx = 4∫xc dx for 0 ≤ x ≤ 1∫f(x)dx = 4[c(x^2/2)]_0^1∫f(x)dx = 2c

Therefore,∫f(x)dx = 1 implies 2c = 1 or c = 1/2.

Now we know the value of c. Let us find the CDF of f(x): CDF of f(x) = P(x ≤ X) = ∫f(t)dt from -∞ to x= ∫f(t)dt from 0 to x= ∫(4xt)dt from 0 to x= 2x^2 from 0 to x= 2x^2Therefore, the CDF of f(x) is 2x^2.

Graph of the PDF of f(x)For graphing the PDF of f(x), we need to know the values of x for which f(x) is defined as well as its shape and maximum value.f(x) = 4xc for 0 ≤ x ≤ 1The given function is a straight line with a slope of 4c and intersects the x-axis at 0 and the y-axis at 0.

We know that c = 1/2, thus (x) = 2x for 0 ≤ x ≤ 1The graph of f(x) will look as follows: Graph of the CDF of f(x)The graph of the CDF of f(x) will look as follows:

We can find the mean and variance of the PDF of f(x) using the following formulae: Mean, μ = ∫xf(x)dx from -∞ to ∞.Variance, σ² = ∫(x - μ)²f(x)dx from -∞ to ∞.

Substituting f(x) and its limits in the above formulae, we get: Mean, μ = ∫xf(x)dx from 0 to 1= ∫(2x^2)x dx from 0 to 12(1^4 - 0^4)/4= 1/2.

Variance, σ² = ∫(x - μ)²f(x)dx from 0 to 1= ∫(x - 1/2)²(2x)dx from 0 to 1= 1/6.

Therefore, the mean is μ = 1/2, and the variance is σ² = 1/6.

To know more about variance visit:

https://brainly.in/question/8403667

#SPJ11

Beth filled 48 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did Beth use?

Answers

The gallons of paint that Beth used is 6 gallons.

How many gallons did Beth use?

The first step is to convert pint to gallon:

1 pint = 0.125 gallon

The second step is to multiply 0.125 by 48 : 0.125 x 48 = 6 gallons

To learn how to convert units, please check: https://brainly.com/question/25993533

#SPJ2

A local fast food chain had revenue represented by the polynomial 6x ^ 2 + 5x - 8 for one fiscal year and expenses for that same fiscal year represented by the polynomial 4x ^ 2 - 3x + 7 7. What was the company's profit for the fiscal year?

Answers

Answer:

2x^2+8x - 16

Step-by-step explanation:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

Given

R(x) = 6x ^ 2 + 5x - 8

C(x) = 4x ^ 2 - 3x + 7

P(x) = 6x ^ 2 + 5x - 8-(4x ^ 2 - 3x + 7)

P(x) = 6x ^ 2 + 5x - 8 - 4x ^ 2 + 3x - 8

Collect the like terms;

P(x) = 6x^2-4x^2+5x+3x-8-8

P(x) = 2x^2+8x - 16

Hence the company's profit for the fiscal year is 2x^2+8x - 16

Please Help!!!! What is the final step to prove....

Answers

Answer:

D

Step-by-step explanation:

Step 1(Base step) − It proves that a statement is true for the initial value.

Step 2(Inductive step) − It proves that if the statement is true for n=k, then it is also true for n=k+1.

The answer d n=k+1 that the answer

The price p (in dollars) and the demand x for a particular clock radio are related by the equation x=4000-40p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 2700 clock radios. (D) Interpret R'(3200) = -60.00.

Answers

A) The price-demand relationship for a clock radio is given by x=4000-40p. B) The revenue function R(x) is found to be R(x) = x * [(4000 - x) / 40]. C) The marginal revenue at a production level of 2700 clock radios is calculated using the derivative R'(x) = (4000 - 3x) / 40, and D) R'(3200) = -60.00 indicates a decrease in revenue of $60.00 per unit at a production level of 3200 clock radios.

(A) To express the price p in terms of the demand x, we can rearrange the equation x=4000-40p to solve for p. Subtracting x from both sides and dividing by -40, we get p = (4000 - x) / 40. The domain of this function represents the possible values for x, which should be non-negative since it doesn't make sense to have negative demand. Therefore, the domain is x ≥ 0.

(B) The revenue R(x) from selling x clock radios can be calculated by multiplying the price p by the quantity x. Since p = (4000 - x) / 40, we have R(x) = x * p = x * [(4000 - x) / 40]. The domain of the revenue function depends on the domain of x, which we determined in part (A) as x ≥ 0.

(C) The marginal revenue represents the change in revenue resulting from producing one additional unit. To find the marginal revenue at a production level of 2700 clock radios, we need to find R'(x) (the derivative of the revenue function) and evaluate it at x = 2700. Differentiating R(x) = x * [(4000 - x) / 40] with respect to x, we find R'(x) = (4000 - 3x) / 40. Substituting x = 2700 into the derivative, we get R'(2700) = (4000 - 3 * 2700) / 40.

(D) The interpretation of R'(3200) = -60.00 is that the marginal revenue at a production level of 3200 clock radios is -60.00 dollars per unit. This means that producing an additional unit at this level would result in a decrease in revenue by $60.00. The negative value indicates a diminishing marginal revenue, which suggests that the market might be becoming saturated or that there are competitive factors affecting the demand for the clock radios.

Learn more about derivative here: https://brainly.com/question/29144258

#SPJ11

In the diagram, point K is a point of tangency, MK = 720, and MN = 648. What is the radius of J

A. 76
B. 70
C. 72
D. 64

Answers

The answer to the question is A.

The radius of J is 76. so option A is correct.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

By applying Pythagoras theorem In right triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(720 + J)² = (648)² + J²

518400+ J² + 1440J = 419904 + J²

1440J = 518400- 419904

J = 76

Therefore, J = 76 units is the answer.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

Help pleaseeeeeeeeeee

Answers

Answer:

5 is c 6 is b

Step-by-step explanation:

Answer:

5) C 6) B

Step-by-step explanation:

Yw

A researcher was interested in how students' college major affected their opinions on environmental safety. To investigate this a researcher gave a environmental safety questionnaire to 20 random business majors and 20 random neuroscience majors. Their responses to the questionnaire were not normally distributed. What is the most appropriate statistical test for these data from the list below? Wilcoxon Signed Rank test Student's t-test O Wilcoxon Ranked Sum test Paired t-test

Answers

The most appropriate statistical test for these data from the list below would be: the Wilcoxon Ranked Sum test.

Why is the Wilcoxon Ranked Sum test best?

The Wilcoxon Ranked Sum test is the best for the analysis because it does not assume a normal distribution. The Wilcoxon ranked sum test compares two independent populations to determine if there is a statistical significance between them.

In the example given there is no normal distribution, so the Wilcoxon Ranked Sum test will analyze the responses differently to confirm if there is a relationship.

Learn more about the Wilcoxon Ranked Sum test here:

https://brainly.com/question/30969232

#SPJ4

3u = 72 simplified math problem

Answers

Answer:

Simplifying

3u = 72

Solving

3u = 72

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Divide each side by '3'.

u = 24

Simplifying

u = 24

3u= 72

three will go to the other side so it will divide

and it well be

u= 24

Suppose that a researcher studying public opinion on raising taxes to pay for road repairs finds that in a simple random sample of 541 adult residents of the state, that 345 of the residents agree that taxes should be raised for road repairs. When testing the claim that the proportion of adults who favor raising taxes is greater than 0.60, the P-Value of 0.0367 is obtained.


Interpret this result for someone who doesn't know statistics.

They ask: "what can we know for certain?" Broadly answer their question.

Answers

The interpretation of the p-value itself does not provide certainty about the truth or falsehood of the claim being tested.

Instead, it helps assess the strength of the evidence against the null hypothesis the assumption that the proportion is not greater than 0.60.

Based on the provided information and the obtained p-value of 0.0367, there are a few conclusions draw for certain,

The researcher conducted a survey among 541 adult residents of the state regarding their opinion on raising taxes for road repairs.

In the sample, 345 residents out of the 541 agreed that taxes should be raised for road repairs.

The researcher tested a claim or hypothesis that the proportion of adults favoring raising taxes is greater than 0.60 (60%).

The p-value of 0.0367 was obtained as a result of the statistical test.

learn more about p-value here

brainly.com/question/31154657

#SPJ4

If the length of a rectangle is 10 feet and the width is 3 inches, what is the area of the rectangle in units of
square feet?

Answers

Answer:

30 ft

Step-by-step explanation:

10 feet = 120 inches

120 in x 3 in = 360 in

360 in ÷ 12 in = 30 ft

solve the equation, then check s + 10.5 = 17.

Answers

17-10.5 =s so therefore s = 6.5

Answer:

s=6.5

Step-by-step explanation:

to check, just substitute s for its value

6.5+10.5+17

so the correct answer is, s=6.5

In a recent election 65% of people supported reelecting the incumbent. Suppose a poll is done of 1390 people. If we used the normal as an approximation to the binomial, what would the mean and standard deviation be?

Answers

A standard deviation of 23.16.

In a recent election, where 65% of people supported reelecting the incumbent, a poll was conducted with a sample size of 1390 people.

To approximate the binomial distribution with a normal distribution, we can calculate the mean and standard deviation.

The mean is determined by multiplying the sample size (1390) by the proportion of support (0.65), resulting in a mean of 898.5.

The standard deviation is calculated by taking the square root of the product of the proportion of support (0.65) with the proportion of opposition (0.35), divided by the sample size, and then multiplied by the square root of the sample size.

This yields a standard deviation of approximately 23.16.

Learn more about binomial distribution

brainly.com/question/30266700

#SPJ11

») What is the circumference of the rim of a basketball hoop with a radius of 9 inches? First, multiply the radius by__ to get the diameter__ inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of
about__ inches. ») Convince Me! If the diameter is doubled, what happens to the circumference? Explain.​

Answers

Answer:

First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.

Step-by-step explanation:

18π = 56.52

36π = 113.04

56.52*2 = 113.04

Find the missing side length and round it to the nearest tenth please :)

Answers

Answer:

171

Step-by-step explanation:

This is a Right triangle,

So this means that all the sides should add up to 180,

So far we have 9

So we will have to Subtract 9 from 180 which leaves us with 171,

I hope this is correct!!

pls help how do i solve log(5x+2)=1

like what rule do I use and how do I do it step by step

Answers

Answer:

x = -0.2

Step-by-step explanation:

(5x + 2) = 1

      - 2     -2      

--------------------

5x = -1

Divide each side by 5

-1/5

= -0.2

Check:

(5x + 2) = 1

replace x with -0.2

(-1 + 2) = 1

1 = 1

The equation is true.

Hope this helped :)

Round to the nearest tenth
8.94427191

Answers

Answer:

8.9

Step-by-step explanation:

8.94427191

Answer:

8.9

Step-by-step explanation:

8.94427191 the number 1 spot to the right of the decimal point is tenths. the number is 9 the number to the right of that is 4. unless that number 2 digits to the right of the decimal point is 5 or over the 9 stays the same

Which of the following would indicate the possible presence of multicollinearity in a regression analysis?
a. a significant p-value for a test of overall significance
b. a high correlation between two or more independent variables.
c. a small value for the coefficient of determination
d. All of these choices would be indicators of possible multicollinearity.

Answers

B) A high correlation between two or more independent variables would indicate the possible presence of multicollinearity in a regression analysis.

Multicollinearity occurs when two or more independent variables in a regression model have a strong correlation with one another, making it difficult to distinguish the individual influence of each independent variable on the dependent variable.

Poorly constructed experiments, heavily observational data, introducing new variables that are dependent on other factors, including identical variables in the dataset, incorrect use of dummy variables, or inadequate data can all lead to multicollinearity.

Calculating the variance inflation factor (VIF) for each independent variable is one way for detecting multicollinearity; a VIF value more than 1.5 shows multicollinearity.

To correct multicollinearity, one of the highly correlated variables can be removed, combined into a single variable, or a dimensionality reduction approach such as principal component analysis can be used.

To know more about multicollinearity:

https://brainly.com/question/30691253

#SPJ4

You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use x for hours worked at the grocery store and y for hours teaching music lessons. i need the inequility for total work. please fast

Answers

Answer:

without numbers= 10x + 15y = 120

Step-by-step explanation:

grocery store= 10x (x=8 in this case)

music lessons= 15y

on a certain hot summer day 688 people used the public swimming pool. the daily prices are 1.75 for children and 2.00 for sdults the receipt for admission totaled 1293.50. how many children and how many adults swam at the public pool that day

Answers

Answer:

Number of children = x = 330

Number of adults = y = 358

Step-by-step explanation:

Let

Number of children = x

Number of adults = y

x + y = 688 (1)

1.75x + 2.00y = 1293.50 (2)

From (1)

x = 688 - y

Substitute x = 688 - y into (2)

1.75x + 2.00y = 1293.50

1.75(688 - y) + 2.00y = 1293.50

1,204 - 1.75y + 2.00y = 1293.50

- 1.75y + 2.00y = 1293.50 - 1,204

0.25y = 89.50

y = 358

Substitute y = 358 into (1)

x + y = 688

x + 358 = 688

x = 688 - 358

x = 330

Number of children = x = 330

Number of adults = y = 358

find the length of the arc on a circle of radius 14 inches intercepted by a central angle 140.

Answers

The length of the arc intercepted by a central angle of 140° on a circle with a radius of 14 inches is approximately 34.1557 inches.

To find the length of the arc intercepted by a central angle on a circle, we can use the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, the radius of the circle is 14 inches, and the central angle is 140°.

First, we need to calculate the circumference of the circle:

Circumference = 2 * π * radius

Circumference = 2 * π * 14 inches

Now, we can calculate the length of the arc:

Arc Length = (140° / 360°) * Circumference

Arc Length = (140/360) * (2 * π * 14 inches)

Arc Length ≈ (0.3889) * (2 * 3.1416 * 14 inches)

Arc Length ≈ 0.3889 * 87.9648 inches

Arc Length ≈ 34.1557 inches

Therefore, the length of the arc intercepted by a central angle of 140° on a circle with a radius of 14 inches is approximately 34.1557 inches.

Visit here to learn more about radius brainly.com/question/13449316
#SPJ11

There were two times as many pepperoni pizzas as cheese pizzas, plus one pizza they ordered 13 pizzas altogether how many pepperoni pizzas were there? How many cheese pizzas were there

Answers

Answer:

pepperoni pizzas = 8

cheese pizzas = 4

Step-by-step explanation:

let x = cheese pizza

2x + x + 1 = 13

3x = 13 -1

3x = 12

x = 4

pepperoni = 2x4 = 8

math help please now

Answers

Answer:

1. Yes

2. Yes

3. No

4. Yes

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

For 1, 76+14 = 90.

Etc., you can do the math, I believe you are smarter than addition.

Other Questions
1) Analyse the effect of human population on: a. The amount of food production and size of agriculture area b. The demand on energy resources.2) Investigate the impact of the growth in human population curve on the environment and define all related terms in the curve.3) Evaluate the below issues on water resources: a. Increase the greenhouse gases. b. Increase the agriculture area.4) Write two solutions for the problem evaluated in question the song that impressed the beatles producer the most when he signed them to a recording contract in 1962 was Journal entries for a nonprofitFruits & Veggies, a nonprofit, conducts two types of programs: education and research. It does not use fund accounting. During the fiscal year, the following transactions and events took place. Prepare journal entries for these transactions, identifying increases and decreases by net asset classification as appropriate.1. Pledges amounting to amount pledged. $180,000 were received, to be used for any purpose designated by the trustees. Fruits & Veggies normally collects 90 percent of the amount pledged. For financial reporting purposes, the total amount of product costs incurred to make 4,000 units is closest to: A) $43,400B) $55,400C) $59,400 D) $12,000 Find the equation of the plane containing the points (-1,3,4), (-1,9, 4), and (1,-1, 1). Find one additional point on this plane. Superstar Berhad reported sales of RM70,000 in May and RM80,000 in June. The forecast sales for July, August and September are RM90,000, RM100,000, and RM110,000, respectively. The beginning cash balance on July 1 is RM3,000 and the firm wishes to maintain a minimum cash balance of RM5,000 every month. The total long-term liabilities of the company are RM25,000. Given the following data, prepare a cash budget for the months of July, August and September.Additional information is as follows:The firm makes 20% of sales for cash, 60% is collected in the next month, and the remaining 20% is collected in the second month following the sale.The firm receives other income of RM 2,000 per month.The firms actual or expected purchases, all made for cash, are RM65,000, RM70,000, and RM85,000 for the months of July through September, respectively.Rent is RM5,500 per month.Wages and salaries are 10% of the previous months sales.The net income is RM30,000. Cash dividends is 20% of the net income and will be paid in August.The payment of principal and interest of the long-term liabilities is 20% of the total long-term liabilities and the payment is due in August.A cash purchase of equipment costing RM15,500 is scheduled in September.The earnings before taxes is RM100,000. The taxes amount is 10% of the earnings before taxes and it is due in August. Was the Indian independence movement successful?A. Yes, France granted India independence in the 1960s.B. No, India is still not an independently governed nation.C. Yes, Great Britain granted India independence in the 1940s.D. Partially, India is governed jointly by the local government and the British monarchy. The OPEC countries supply about 40% of the world's crude oil. Suppose that OPEC increases its oil production by 5%. Assume that no other oil suppliers change their production and that the price elasticity of demand for crude oil is-0:2. You predict that as a by result of the OPEC's increased production, its total revenue from oil will (increase/decrease) [Write your response here....] by [Type your answer here] % a) Jaleel knows that the primary purpose of a futures contract is the management of risk exposures. Use Qantas Airlines as an example to further explain how a futures contract achieves this risk management function.b) Jaleel is holding some Tesla shares (NASDAQ: TSLA) and The TSLA stocks are currently trading at $985 on the Nasdaq. Given TSLA stocks are very volatile, Jaleel wishes to protect the value of his investments. He seeks your advice on using option contracts and presents a list of options for you to choose from. Assume the number of underlying shares per contract is 100 shares. The chart below gives the data necessary to make a Keynesian cross diagram. Assume that the tax rate is 0.4 of national income, the MPC out of after-tax income is 0.9, investment is 58, government spending is 60, exports are 40, and imports are 0.1 of after-tax income. What is the equilibrium level of national income for this economy?The chart below gives the data necessary to make a Keynesian cross diagram. Assume that the tax rate is 0.4 of national income, the MPC out of after-tax income is 0.9, investment is 58, government spending is 60, exports are 40, and imports are 0.1 of after-tax income. What is the equilibrium level of national income for this economy? Given the following data: = =105 = $1.00 Et+1 =106 = $1.00 = 8% U.S. Assuming that Japan is the domestic currency, if the interest parity condition is expected to hold, interest rates in Japan (RJapan) should equal % (Enter your answer as a percentage rounded to two decimal places). simplify the quantity 7 minus one fourth times the square root of 16 end quantity squared plus the quantity 2 minus 5 end quantity squared. what academic topic do you currently find most interesting and why? when and how did you become aware of it? how have you explored it? if a particle undergoes shm with amplitude 0.10 m what is the total distance it travels in one period?Select one: O a. 0.4 m O b. 0.3 m O c. 0 m O d. 0.1 m O e. 0.2 m Find a current business article (from within the past 6 months, provide a reference link) and discuss what project management methodology was used and why (or why not) that made sense for the project. Incorporate material from the textbook in your responses. Be sure to explain the relevant concepts you touch on in a clear and concise manner. which polynomial is prime? x4 3x2 x2 3 x4 3x2 x2 3 3x2 x 6x 2 3x2 x 6x 3 Lorenzo operates a brushless car wash. Incoming cars are put on an automatic, continuously moving conveyor belt. A car is washed as the conveyor belt carries it from the start station to the finish station. After the car moves off the conveyor belt, workers dry it and clean and vacuum the inside. Workers are managed by a single supervisor.Lorenzo's accountant wants to estimate total costs in October when 11,450 cars are expected to be washed. She uses two different methods to estimate total October costs, account analysis, and high-low, with a number of cars washed as the independent variable for both methods.For the account analysis method, she developed cost function parameter estimates by analyzing actual costs in February, when 11,200 cars were washed. The following are February total costs and her fixed cost estimates:Cost Item Total Cost Fixed PortionSoap, cloths, and supplies $2,240 $0Water $2,240 $0Car wash labor $28,340 $2,580Power for conveyor $13,620 $2,420Supervisor and cashier $4,000 $4,000For the high-low method, she developed cost function parameter estimates by using the actual costs in July and August, when 8,500 and 11,500 cars were washed, respectively. The following are total costs for these two months:Cost Item July AugustSoap, cloths, and supplies $3,400 $4,600Water $2,550 $3,450Car wash labor $22,550 $29,450Power for conveyor $10,600 $13,600Supervisor and cashier $4,650 $4,650Part A:1. Using account analysis, what is the accountant's estimate of total fixed costs for October?2. Using account analysis, what is the accountant's estimate of variable costs per unit for October?Part B:1. Using the high-low method, what is the accountant's estimate of total fixed costs for October?2. Using the high-low method, what is the accountant's estimate of total variable costs for October? A higher level of income may not increase overall happiness ifpeople do not value absolute income but only their relativeposition in the income distribution(no explanation)a)trueb)false The following merchandise transactions occurred in December. Both companies use a perpetual inventory system. Dec. 31 4 8 13 Crane Company sold merchandise to Thomas Co. for $38,000, terms 2/10, n/30, what greek concept did donatello introduce to renaissance sculpture?