5n + 34 = -2 ( 1 - 7n)
this is due by midnight.

NO LINKS PLEASE!

Answers

Answer 1

Answer :

n = 4

Step-by-step explanation:

5n + 34 = -2(1-7n)

first distribute

5n + 34 = -2(1) -2(-7n)

5n + 34 = -2+14n

-5n

+2

then get all of n to the same side

36 = 9n

isolate the variable

36/9 = 9n/9

4 = n

Answer 2

Answer:

n=4

Step-by-step explanation:

Hi there!

We are given the following equation:

5n + 34 = -2(1-7n)

And we want to solve it for n

To do that, we want to isolate n (also written as 1n) on on side by itself.

In this equation, on the right side, we have -2(1-7n), which is in the way. We'll need to open it up.

In order to open up the parenthesis, we'll need to do the distributive property, where we will multiply -2 to both 1 and -7n, then add them together.

-2(1-7n)=-2+14n

That's for the right side.

The equation now looks like this:

5n + 34 = -2 + 14n

Remember that we will be trying to isolate n on one side

Subtract 5n from both sides to remove it from the left side:

5n + 34 = -2 + 14n

-5n                  -5n

__________________

34 = -2 + 9n

Add 2 to both sides to remove it from the right side:

34 = -2 + 9n

+2    +2

______________

36 = 9n

Now, we have numbers on one side and variables on the other, but we're not done yet, since remember; we want just n (or 1n), not 9n. We need to divide both sides by a number that will result in 1n

If we divide a number by itself, then the result is 1

So we should divide both sides by 9

4 = 1n, also written as 4=n , or n=4

Hope this helps!


Related Questions

The list shows the number of songs on each album Dakota has downloaded. 15, 9, 8, 34, 18, 10, 14, 12, 8, 20, 22, 16, 32, 28, 4, 45, 15, 10, 7. Create a stem-and-leaf plot to represent the data.

Answers

I hope this helps! :)

The list shows the number of songs on each album Dakota has downloaded. 15, 9, 8, 34, 18, 10, 14, 12,

*LOOK AT PICTURE FOR QUESTION*

F) 20.5 in

G) 14.74 in

H) 9.3 in

J) 10.1 in

*LOOK AT PICTURE FOR QUESTION*F) 20.5 inG) 14.74 inH) 9.3 inJ) 10.1 in

Answers

I’m Pretty sure it’s g

Tom takes exactly 30 minutes to rake a lawn and his son Mike takes exactly 60 minutes to rake the same lawn. If Tom and Mike decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them rake the lawA. 16


b. 20


c. 36


d. 45


e. 90

Answers

Answer:

b) 20 minutes

Step-by-step explanation:

Tom=0.5Mike

in 15 minutes, Tom will have done 1/2 of the lawn

in 15 minutes, Mike will have done 1/4 of the lawn

in 15 minutes, they will have done 3/4 of the lawn

15/3=5 minutes for 1/4 of the lawn to be done

5x4=20 minutes for the entire lawn

if Q =( 1,3,5,7,9,11,13,15) and t=(1,2,3,5,6,7,10,11,12) find q and t

Answers

The set of Q = {1, 3, 5, 7, 9, 11, 13, 15} and T = {1, 2, 3, 5, 6, 7, 10, 11, 12}.

How to find q and t

To find the sets Q and T, we need to examine the given information about the elements in each set.

Q = {1, 3, 5, 7, 9, 11, 13, 15}

T = {1, 2, 3, 5, 6, 7, 10, 11, 12}

Q is the set of elements: 1, 3, 5, 7, 9, 11, 13, 15.

T is the set of elements: 1, 2, 3, 5, 6, 7, 10, 11, 12.

Therefore, set Q = {1, 3, 5, 7, 9, 11, 13, 15} and T = {1, 2, 3, 5, 6, 7, 10, 11, 12}.

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HELPPP PLS!!!!Which of the following is equivalent to sum from n equals 1 to infinity of 10 times quantity negative seven eighths end quantity to the power of n question mark

Answers

Answer:

-14/3

Step-by-step explanation:

this is a geometric series with r = -7/8

The infinite sum of geometric series with |r| < 1 is

a1/(1-r)

We already have r, but we need to find a1 which is the first term of the series.

To find it, only plug in 1 for n, 10(-7/8) and this = -35/4

Now plug in r and a1 in the formula above:

\(\frac{-35/4}{1+7/8}\)

after simplifying it, you will get the infinite sum = -14/3

Hermite polynomials are defined recursively as H(0, x) = 1, H(1, x) = 2x, and for n > 1 : H(n, x) = 2xH(n − 1, x) − 2(n − 1)H(n − 2, x). Use memoization to define a recursive function H which takes on input an int n and a double x. H(n, x) returns a double, the value of the n-th Hermite polynomial at x.

Answers

Hermite polynomials, denoted by H(n, x), are a family of orthogonal polynomials with important applications in mathematical physics and probability theory. They are defined recursively, with base cases H(0, x) = 1 and H(1, x) = 2x. For n > 1, the recursive relation is given by H(n, x) = 2xH(n-1, x) - 2(n-1)H(n-2, x).

To implement a recursive function H that calculates the n-th Hermite polynomial at x using memoization, you can use a dictionary to store previously computed values of the polynomial. This will help in avoiding redundant computations and improve the efficiency of the algorithm.

Here's a Python implementation:

```python
def H(n, x, memo={}):
   if n == 0:
       return 1
   elif n == 1:
       return 2 * x
   else:
       if (n, x) not in memo:
           memo[(n, x)] = 2 * x * H(n - 1, x) - 2 * (n - 1) * H(n - 2, x)
       return memo[(n, x)]
```

This function takes an integer n and a double x as input and returns a double representing the value of the n-th Hermite polynomial at x. The function uses memoization to optimize performance, storing previously computed values in a dictionary called memo. This way, when encountering the same inputs again, the function can return the already computed value instead of performing the calculations anew.

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Write an equation to represent the graph below

Write an equation to represent the graph below

Answers

Y = 4/3x + 5
I did this by first finding the slope. You can do this by using the formula or simply counting the rise over run between 2 points.
The + 5 is the y intercept, and that can be found by seeing where the line meets the y axis. Hope this helps!

let s be the set of all vectors of the form [ − 5 s − 4 s ] . find a set of vectors in r 2 whose span is s . use as many of the answer boxes as needed, filling from left to right. leave unneeded boxes empty.

Answers

The set of vectors that span s in ℝ² is {[−5, −4], [1, 0]}. In other words, the set of vectors that span s in ℝ² is {[−5, −4], [1, 0]}.

To find a set of vectors in ℝ² whose span is given by the set s, we need to express the vectors in s as linear combinations of other vectors in ℝ². The sets are defined as s = {[−5s, −4s] | s ∈ ℝ}.

To construct a set of vectors in ℝ² that spans s, we can choose two linearly independent vectors that are not scalar multiples of each other. Let's call these vectors v₁ and v₂.

Step 1: Choose a vector v₁ that satisfies the given form [−5s, −4s]. We can select v₁ = [−5, −4].

Step 2: To find v₂, we need to choose a vector that is linearly independent of v₁. One way to do this is to choose a vector that is not a scalar multiple of v₁. Let's select v₂ = [1, 0].

Step 3: Verify that the vectors v₁ and v₂ span s. To do this, we need to show that any vector in s can be expressed as a linear combination of v₁ and v₂. Let's take an arbitrary vector [−5s, −4s] from s. Using the coefficients s and 0, we can write this vector as:

[−5s, −4s] = s * [−5, −4] + 0 * [1, 0] = s * v₁ + 0 * v₂

Thus, any vector in s can be expressed as a linear combination of v₁ and v₂, which means that the span of v₁ and v₂ is s.

Therefore, the set of vectors that span s in ℝ² is {[−5, −4], [1, 0]}.

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generally, parametric estimating requires less information and time than analogous estimating. a. true b. false

Answers

The statement "generally, parametric estimating requires less information and time than analogous estimating." is False.

Parametric estimating and analogous estimating are two different methods used to estimate the cost of a project or the value of a parameter.

Parametric estimating uses statistical data and mathematical models to make predictions about the cost or value of a project. This method requires specific data and information about the project, such as historical data, vendor quotes, and cost of similar projects.

The advantage of parametric estimating is that it can be more accurate and precise than other methods, but it can also be time-consuming to gather the necessary data and perform the calculations. Analogous estimating, uses information from similar projects to make predictions about the cost or value of a project.

This method requires less data and information than parametric estimating, but it can be less accurate and precise. Analogous estimating is often used as a quick and rough estimate, or when there is not enough data available to use parametric estimating.

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will mark brainliest
What is the volume of a rectangular prism with a height of 4 yards and a base with area 16 square yards?


Enter your answer in the box.

Answers

Answer: 64

Step-by-step explanation: that’s the answer

NEED HELP FOR TEST
Several bakeries in a town were asked the price for different amounts of donuts at their shop. The scatter plot with a line of best fit was created from the data gathered:


Part A: Estimate the correlation coefficient. Explain your reasoning for the given value.

Part B: How many positive and negative residuals are there? Explain your reasoning.

Part C: State the point with the largest absolute value residual and interpret the point in terms of the context of the data.

NEED HELP FOR TESTSeveral bakeries in a town were asked the price for different amounts of donuts at

Answers

The coefficient of correlation is 0.303. There are six positive residuals and four negative residuals. The point with the greatest residual is (6,2), which is also the place with the greatest discrepancy between the projected and actual value.

The scatter plot is given in the question

As per the scatter plot, the coordinates of these points are as follows:

(1,2), (1,3), (2,4), (3,4), (3,5), (4,3), (4,5), (5,5), (5,6), (6,2).

Compute these points into a calculator, the coefficient is:

0.303.

A residual is defined as the difference between the observed and predicted values, so:

The positive residuals are the points above the line, thus there are six of them.

The points below the line are the negative residuals, so there are four positive residuals.

As a result, the largest residual in absolute value is at the point:

(6,2).

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40 plus 40 minus 20 times 0 plus 3 plus 125 equals what

Answers

9514 1404 393

Answer:

  208

Step-by-step explanation:

The order of operations requires that the multiplication be done before addition or subtraction.

  40 + 40 - 20×0 + 3 + 125

  = 40 + 40 - 0 + 3 + 125

  = 80 - 0 + 3 + 125

  = 80 + 3 + 125

  = 83 + 125

  = 208

__

The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)

40 plus 40 minus 20 times 0 plus 3 plus 125 equals what

Answer:

208

40 plus 40 minus 20 times 0 plus 125 in written form:

40 + 40 - 20 × 0 + 3 + 125

In order to get our answer 208, we must do it step by step:

First, we need to put 40 plus 40 into an equation:

40 + 40 = 80

Now that we have 80, we need to find 20 times 0:

20 x 0 = 0

Since 20 times 0 equals 0, we can now add 80 plus 3:

80 + 3 = 83

Now what we have left is to add 83 plus 125 which will give us our answer:

83 + 125 = 208!

The answer will be 208.

            Hope this helps!

     ~Hocus Pocus

 

Can the terms susc as "less than" and "more than" be used in a real situation? Can you give an example or examples?

Answers

Answer:

Yes

Step-by-step explanation:

She had more than me

I would help her but she has less than me

Larry received the bank statement below. Checking Account Statement Account Number: 1234-1212 Checks date check no. amount 9/5 317 $58.29 9/16 319 $75.40 9/25 320 $121.57 Other Activity date transaction amount 9/11 Debit Card $33.52 9/15 Deposit $250.00 9/30 Deposit $250.00 Balances Opening Balance $750.00 Closing Balance $961.22 Larry's checkbook has a balance of $922.63. What is most likely the reason that Larry's balance is different from the bank's balance? A. Larry made a mistake in his addition. B. The bank forgot to include fees. C. Larry forgot to write down some deposits. D. Check 318 was not cashed or deposited.

Answers

The most likely reason that the Larry's checkbook balance is different from the bank's balance is that D. Check 318 was not cashed or deposited.

Given that,

Larry's checkbook has a balance of $922.63.

Closing balance in the bank statement = $961.22

There is a difference.

The check numbers are given in the order as 317, 319 and 320.

The check number 318 is neither deposited nor cashed.

There is high likely to add the check number 318 to the Larry's checkbook.

Hence the correct option is that D. Check 318 was not cashed or deposited.

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What's the formula for an arc of a circle?

Answers

the formula I use to find the arc length in a circle is 2πR(θ/360). you can plug this into your calculator it’s the easiest way.

π is pi
R is the radius
θ is the inscribed/central angle

A theater has 25 seats in the first row and 35 rows in all. Each successive row contains one additional seat. How many seats are in the theater?

Answers

The theater has a total of 945 seats.

To determine the number of seats in the theater, we need to calculate the sum of seats in each row. The first row has 25 seats, and each subsequent row increases by one seat. Since there are 35 rows in total, we can calculate the sum of an arithmetic series to find the total number of seats.

The formula for the sum of an arithmetic series is Sn = (n/2) * (a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. In this case, n = 35 (number of rows), a1 = 25 (number of seats in the first row), and an = a1 + (n - 1) = 25 + (35 - 1) = 25 + 34 = 59 (number of seats in the last row). Plugging these values into the formula, we get Sn = (35/2) * (25 + 59) = 17.5 * 84 = 1470. Therefore, the theater has a total of 945 seats.


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4. What is the rate of change of the linear function that has a graph that passes
through the points (-1, 3) and (-2,-4)?

Answers

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

The slope of a line is outlined because the amendment in y coordinate with relevancy the amendment in x coordinate of that line. cyber web amendment in y coordinate is Δy, whereas cyber web amendment within the x coordinate is Δx. The slope of a line is calculated victimisation 2 points lying on the line. Given the coordinates of the 2 points, we are able to apply the slope of line formula m = y₂ - y₁ / x₂ - x₁ where (x₁ ,y₁) are the coordinate of first point and (x₂ ,y₂) are the coordinate of second point.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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The following is a list of the accounts and balances taken from the adjusted trial balance at december 31, 2024. for king merchants. king uses a perletual inventory system and the earnings approach for revenue recognition.

Answers

The following accounts and balances were taken from the adjusted trial balance of King Merchants as of December 31, 2024: Accounts payable $15,000, Accounts receivable $26,500, Accumulated depreciation $16,200, Buildings $65,000, Cash $19,400, Common stock $30,000, Cost of goods sold $80,000, Depreciation expense $3,000,

Equipment $25,000, Insurance expense $1,500, Interest expense $500, Interest payable $250, Merchandise inventory $24,800, Notes payable $14,000, Prepaid insurance $1,200, Rent expense $6,000, Retained earnings $17,050, Salaries expense $12,000, Salaries payable $2,000, Sales revenue $115,000, Supplies expense $1,800, and Utilities expense $1,000.King Merchants is a perpetual inventory system that uses the revenue recognition earnings approach.

King's adjusted trial balance suggests that the company is well-organized in its bookkeeping and accounting practices.

From the list of accounts provided, it appears that King has a balance of $15,000 in accounts payable, which means the company owes $15,000 to its suppliers for inventory or other goods and services. The company has a balance of $26,500 in accounts receivable, indicating that King is owed $26,500 by its customers for products or services sold on credit.

King's Merchandise inventory account has a balance of $24,800, which shows the cost of goods that King has not yet sold. The company's Sales revenue account has a balance of $115,000, which shows the amount of revenue generated from the sale of goods or services.

Meanwhile, the company's Cost of goods sold account has a balance of $80,000, indicating the cost of goods sold during the period.

King's adjusted trial balance also shows that the company has $65,000 in buildings, $25,000 in equipment, and $1,200 in prepaid insurance. The accumulated depreciation account has a balance of $16,200, indicating the cumulative depreciation that King has taken on its assets, such as buildings and equipment.

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A sample of n = 5 scores has m = 20 and s2 = 4. what is the sample standard deviation?

Answers

The sample standard deviation is 0.89

In the given statement is:

A sample n = 5 scores which means that there are 5 sample having m = 20 which is the arithmetic mean (A.M.)of these samples, and \(s^{2}\) = 4 is the variance of these samples.

Let us know the :

What is meant by Sample Standard deviation?

The sample standard deviation (s) is the square root of the sample variance and is also measure of the spread from the expected values.

Standard deviation is the square root of the variance.

Therefore, \(s^{2}\) =4 => s = 2

(Where, s denotes sample standard deviation ,σ)

Also, Standard error of the sample S(E) = Sample standard variance / \(\sqrt{number of samples}\)

= σ /\(\sqrt{n}\) = 2/\(\sqrt{5}\)

and, root 5 = 2.24

put the value of root 5

=2 / 2.24

= 0.89

Hence, The sample standard deviation is 0.89

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A square tube 1.0 cm on a side gradually changes shape to become a circular tube 1.0 cm in diameter. Gasoline flows through the tube at 0.60 L/sL/s. what is the pressure difference between the square tube and the circular tube?

Answers

The pressure difference between the square tube and the circular tube can be found using Bernoulli's equation, which relates the pressure of a fluid to its velocity and height. where P is the pressure of the fluid.

ΔP = 1/2 * 0.75 g/cm^3 * [(1.0 cm/s)^2 - (4v1/π)^2]

The pressure difference between the square tube and the circular tube can be found using Bernoulli's equation, which relates the pressure of a fluid to its velocity and height. Since the tube diameter changes along the length, we need to use the continuity equation to relate the velocity of the fluid in the square tube to the velocity in the circular tube.

To begin, we can use the continuity equation, which states that the mass flow rate of a fluid is constant along the length of the tube:

ρ1A1v1 = ρ2A2v2

where ρ is the density of the fluid, A is the cross-sectional area of the tube, and v is the velocity of the fluid.

Since the cross-sectional area of the square tube is A1 = (1.0 cm)^2 and the diameter of the circular tube is d = 1.0 cm, the cross-sectional area of the circular tube is A2 = π/4 * d^2 = π/4 cm^2. We are given that the mass flow rate of the gasoline is 0.60 L/s, which has a density of ρ = 0.75 g/mL = 0.75 g/cm^3.

Using the continuity equation, we can solve for the velocity of the fluid in the circular tube:

v2 = (ρ1A1v1) / (ρ2A2) = (0.75 * (1.0 cm)^2 * v1) / (π/4 cm^2)

Now that we have the velocity of the fluid in the circular tube, we can use Bernoulli's equation to relate the pressure in the square tube to the pressure in the circular tube:

P1 + 1/2 ρ1 v1^2 = P2 + 1/2 ρ2 v2^2

where P is the pressure of the fluid.

Since the tube is horizontal, the height difference between the two sections can be ignored. Thus, the pressure difference is:

ΔP = P2 - P1 = 1/2 ρ1 (v1^2 - v2^2)

Plugging in the values, we get:

ΔP = 1/2 * 0.75 g/cm^3 * [(1.0 cm/s)^2 - (4v1/π)^2]

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"A HARFİ ile ilgili atasözleri ve anlamları​

Answers

Answer:

al sana atasözleri ile igili atasözleri ve anlamları

"A HARF ile ilgili ataszleri ve anlamlar

How do you know if a graph will cross or bounce?.

Answers

We know that the graph of a polynomial function will intersect the x-axis at its root values, and we know that if the multiplicity of that root is even, the graph will "bounce off"

If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero.

If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity.

If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity.

The sum of the multiplicities is n.

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Omilia is making chapatis by mixing flour and water in the ratio of 1 : 3. she starts by mixing 2.5 cups of water with 4 cups of flour. how many more cups of water does she need? from knowledgehook show you work please i need the steps and the process of the math problem.

Answers

7.5 more cups of water does she need.

How many more cups of water does she need?

According to this ratio, the person on the right receives three parts for every one that the one on the left receives.

Omilia is making chapatis by mixing flour and water in the ratio of 1 : 3. she starts by mixing 2.5 cups of water with 4 cups of flour.

eventual aim is 12 cups of water since we know that water must be three times as much as wheat and that

4 * 3 = 12.

Since 2.5 and 4 are already present, we create the equation:

2.5 + x = 12

Simplify.

x = 7.5

response is 7.5.

7.5 more cups of water does she need.

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What will a scale factor greater than 1 will make a shape?

Answers

Answer:

When the absolute value of the scale factor is lower than 1, it decreases the size of the shape.

When the absolute value of the scale factor is greater than 1, the shape will increase in size.

Step-by-step explanation:

can i have brainliest please

PLEASE help!!! I will give brainliest!!!!!!!!! Feechi makes three attempts at a basket in a basketball game. Identify the
sample space (the correct list of possible outcomes) for Feechi's results.
B = basket, M = miss

The notation MBM means Feechi missed the first attempt, made the second
attempt, and missed the third.

A. (BBB, BMB, MBM, MMM)
B.(BBBB, BMBM, MBMB, MMMM)
C.(BB, BM, MB, MM)
D.(BBB, BBM, BMB, BMM, MBB, MBM, MMB, MMM)

Answers

The sample space as Feechi makes three attempts at a basket in a basketball game is BBB, BMB, MBM, MMM).Option A

How to determine Feechi sample space

The sample space represents all possible outcomes of Feechi's three attempts, where each attempt can either result in a basket (B) or a miss (M).

Option A lists the following four outcomes: BBB, BMB, MBM, and MMM. Each outcome is a sequence of three letters, where B represents a basket and M represents a miss.

Therefore, the correct answer IS (BBB, BMB, MBM, MMM).

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The sample space for Feechi's result would be = (BBB, BBM, BMB, BMM, MBB, MBM, MMB, MMM). That is option D.

How to determine the sample space for Feechi's results?

The various moves to make a successful attempt at the basket was done 3 times.

When she gets a B = Basket

When she gets an M = Miss

The possible outcome of the sample space would be = (BBB, BBM, BMB, BMM, MBB, MBM, MMB, MMM).

This is because only 8 unique arrangements can be gotten from the list of possible outcomes.

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An individual who claims, I'm always right because I'm the boss', is engaging in the logical fallacy of
circular reasoning
hasty generalization
false cause subjectivity Which of the following is the most appropriate application of graph theory? Designing computer graphics
Designing logic gates Finding optimal routes between cities Creating symmetrical shape

Answers

The logical fallacy being committed by the individual who claims, "I'm always right because I'm the boss," is circular reasoning. Circular reasoning occurs when someone uses their initial statement as evidence to support that same statement, without providing any new or valid evidence. In this case, the person is using their status as the boss to justify their claim of always being right, which is a circular argument.

Moving on to the second question, the most appropriate application of graph theory would be finding optimal routes between cities. Graph theory is a branch of mathematics that deals with the study of graphs, which are mathematical structures that represent relationships between objects.

When applied to finding optimal routes between cities, graph theory can help determine the most efficient path to travel from one city to another, taking into account factors such as distance, traffic conditions, and other relevant variables. By representing the cities as nodes and the connections between them as edges, graph theory algorithms can be used to calculate the shortest or most efficient route between any two cities.

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Find the input (x) of the function y = -4/3x+ 20 if the output
(y) is -80

Find the input (x) of the function y = -4/3x+ 20 if the output(y) is -80

Answers

Answer:

x=75

Step-by-step explanation:

Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:

90x − 20

What does the factor x of the first term of the expression represent? (2 points)

Group of answer choices

The total number of tasks Terrence completed

The total number of tasks Shelly completed

The sum of Shelly's and Terrence's total points

The difference between Shelly's and Terrence's total points

Answers

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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1. (5 pts) The (per hour) production function for bottles of coca-cola is q=1000K L

, where K is the number of machines and L is the number of machine supervisors. a. (2 pts) What is the RTS of the isoquant for production level q? [Use the following convention: K is expressed as a function of L b. (1 pt) Imagine the cost of operating capital is $40 per machine per hour, and labor wages are $20/ hour. What is the ratio of labor to capital cost? c. (2 pts) How much K and L should the company use to produce q units per hour at minimal cost (i.e. what is the expansion path of the firm)? What is the corresponding total cost function?

Answers

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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The table shows the number of runs earned by two baseball players.


Player A Player B
2, 1, 3, 8, 2, 3, 4, 4, 1 1, 4, 5, 1, 2, 4, 5, 5, 10


Find the best measure of variability for the data and determine which player was more consistent.
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.5.
Player B is the most consistent, with an IQR of 3.5.

Answers

I’m not quite sure honestly
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