Consider the graph please

1. If all resources are devoted to the production of food, Alpha can produce _140,000_________

pounds of food.

2. In order to produce 1,500 WMD, the opportunity cost in terms of food is _10,000__________

pounds.

3. To produce another 1,000 WMD, the opportunity cost (rises/falls) to _40,000___________

pounds. As long as the PPC continues to curve outward and downward, the opportunity

cost of increased WMD output will (continue to rise/start to fall).

4. Food doesn’t easily convert into weapons of mass destruction so more resources must be

used as more weapons are produced. If the resources were perfectly substitutable, how

would you draw the PPC? (HINT: if your MP3 player could only hold 100 songs and

currently held 100 songs, how many songs would you have to give up to get one more?)

The PPC would be a straight line with equal Y and X. i.e. 30 Food and 30 WMD.5. Find the combination of 2,500 WMD and 90,000 pounds of Food on Figure 1. Label

this point A. Is it an attainable combination for Alpha? ___yes_____

6. Find the combination of 2,750 WMD and 70,000 pounds of Food. Label this point B. Is

it attainable? _yes______

7. Find specialization point, 0 WMD and 140,000 pounds of Food and label it point C. Is

this point attainable? __yes_____

8. We conclude that attainable combination points are (on/inside/outside) the production

possibilities curve.

9. A point inside of the production possibilities curve is inefficient because it is possible to

produce more of one or both goods without opportunity cost. Find the combination of

2,000 WMD and 40,000 pounds of Food. Label this point D. Show that it is inefficient by

shading all of the attainable combinations that show that more of one or both goods can

be attained.

10. Suppose the government of Alpha wanted to move from 70,000 pounds of Food and

2,750 WMD to 0 pounds of Food and 3,000 WMD. Calculate the opportunity cost in terms

of pounds of Food. _70,000________

11. Is specialization point 0 pounds of Food and 3,000 WMD desirable? _prob not____________

12. What point is best for Alpha? __answers will vary_______________ Explain your answer.

Answer:

To find out how much Carter charges for a hotdog, we can set up a system of equations using the information provided.

Let x be the cost of a hamburger and y be the cost of a hotdog. We know that:

x + y = 195 (because total money earned on Saturday is $195)

30x + 25y = 195 (because 30 hamburgers were sold at the cost of x and 25 hotdogs were sold at the cost of y)

15x + 20y = 120 (because 15 hamburgers were sold at the cost of x and 20 hotdogs were sold at the cost of y on Sunday)

We can use the first equation to solve for one of the variables in terms of the other variable. For example, we can substitute y = 195-x into the second equation:

30x + 25(195-x) = 195

This simplifies to:

30x + 4875 - 25x = 195

5x = 468

x = 93.6

So the cost of a hamburger is 93.6 dollars and the cost of a hotdog is 195-93.6=101.4 dollars

Step-by-step explanation:

The null hypothesis states that there is no difference in the intensity of any discomfort experienced while counting money versus paper. Money-related groups have a M = 7.56 and SS = 42.22 mean.

The null hypothesis assumes that any differences you see between the chosen attributes in a set of data are due to chance. For instance, if the predicted profits from the gambling game genuinely equal zero, then any discrepancy between the data's average profits and zero results from chance.

Here,

According to the null hypothesis, there is no difference in how painful anything feels while counting money versus paper. The mean for the group relating to money is

=>  M = 7.56 and SS = 42.22.

=> M = 11.33 and SS = 38 for the paper group.

=> t(16) is equal to 3.57,

=> the standard error is 1.06, and the pooled variance is 5.01.

=>The critical values for df = 16 are 2.921.

Reject the null hypothesis and draw the conclusion that there is a notable variation in the level of discomfort felt after counting money versus counting paper.

=> d = 3.77/2.24 = 1.68

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Answer:

40h+100 represents the amount of money it would cost to have an electrician for h hours.

Answer:

40h + 100

Step-by-step explanation:

The 100 represents the one-time fee, and the 40h represents how each hour costs 40 dollars

There is no sufficient evidence to keep up the claim that the bags are underfilled.

We are given;

n = 27 bags

Sample mean;X = 402 gram

Population mean;μ = 404 gram

Variance = 676

We know that, standard deviation(σ) = √variance

Thus;

σ = √676

σ = 26

The hypotheses are;

Null hypothesis; H0: μ = 404

Alternative hypothesis; HA: μ < 404

Let's find the z-score from the formula;

z = (X - μ)/(√σ/n)

z = (402 - 404)/√(26/27)

z = -2.04

The z-distribution table attached, we have a p-value of 0.02068

This is less than the significance value of 0.01 and we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled.

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The complete question is:

A manufacturer of chocolate chips would like to know whether its bag-filling machine works correctly at the 404-gram setting. It is believed that the machine is underfilling the bags. A 27-bag sample had a mean of 402 grams with a variance of 676. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled?

Answer:

see below

Step-by-step explanation:

519 sold

studnets = x

non students = y

so x+y =519, so x = 519-y

3x+5y =1909

so 3(519-y) +5y = 1557 +2y =1909

2y = 352

y=176 non students

x = 519-176 = 343 students

Answer: 20 and 40

Step-by-step explanation: i how how to do math

Answer:

B.20

E.40

Step-by-step explanation:

The common multiples are 20 and 40.

Answer:

A ≈ 380 m²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

we require to find r using the circumference (C) , that is

C = 2πr

given C = 22π , then

2πr = 22π ( divide both sides by 2π )

r = [tex]\frac{22\pi }{2\pi }[/tex] = 11

then

A = π × 11² = 121π ≈ 380 m² ( to the nearest whole number )

The better company to use would be the second company that charges a straight $7 per shirt.

How we can compare things?

A comparison seeks to determine how two or more components, persons, or things have relevant similarities, as well as how they differ and to what extent.

To determine this, we need to compare the cost per shirt between the two companies, taking into account the cost of making the printing screen and the cost per shirt.

1) For the first company, the cost per shirt is $5.50 + ($75 / number of shirts). Let's call the number of shirts "x".

2) For the second company, the cost per shirt is $7.

So to compare the cost per shirt between the two companies, we need to determine when $5.50 + ($75 / x) = $7.

Solving for x, we get x = ($75 + $7 - $5.50) / $5.50 = 12.72 shirts.

So for 12 or more shirts, the second company is cheaper. For fewer than 12 shirts, the first company is cheaper.

Since, The student council likely wants to order more than 12 shirts to make the cost of the printing screen worth it, the second company is the better choice.

Therefore, The better company to use would be the second company that charges a straight $7 per shirt.

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Because smaller denominators result in larger fractional pieces, the denominators for the numbers 6 and 8 are 6 and 8, respectively. Therefore, 5/6 will be greater than 5/8.

As you saw, you may compare fractions with the same denominator by examining their numerators. As you can see below, 3/4 is larger than 1/4.

The fraction grows as the numerator gets bigger. Due to the fact that it represents a portion of a whole, the fraction 5/8 can never be a whole number. The fraction 5/8 represents 5 of the 8 parts that make up the whole.

Although the decimal 0.625 is equivalent to 5/8, it still does not make a whole. You may represent 5/8 as that. The complete response is provided below. Because smaller denominators result in larger fractional pieces, the denominators for the numbers 6 and 8 are 6 and 8, respectively. Therefore, 5/6 will be greater than 5/8.

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The equations of the tangent to the curve when x = 1 are;

[tex]y = 5\frac{1}{3}\cdot x - 1\frac{1}{3}[/tex]

[tex]y = 1\frac{1}{3} - \frac{1}{3} \cdot x[/tex]

The tangent to a curve at a point, is the line that best fits the rate of change of the curve at the specified point.

The equation to be differentiated in the question is; y² - 5·x·y + 4·x = 0

The derivative of the above equation using the differentiation of a product is as follows;

2·y·y' - (5·y + 5·x·y') + 4 = 0

2·y·y' - 5·y - 5·x·y' + 4 = 0

2·y·y' - 5·x·y' - 5·y + 4 = 0

y'·(2·y - 5·x) - 5·y + 4 = 0

The slope of the curve, therefore is; y' = (5·y - 4)/(2·y - 5·x)

At x = 1, we get;

y² - 5·y + 4 = 0

(y - 4)·(y - 1) = 0

At x = 1, y = 4 and y = 1

Therefore;

At (1, 4), y' = (5 × 4 - 4)/(2 × 4 - 5 × 1) = 16/3

The equation of the tangent is therefore;

y - 4 = (16/3)·(x - 1)

y = 16/3)·x - 16/3 + 4 = 16/3)·x - 4/3

The tangent at (1, 4) is; y = (16/3)·x - 4/3 = (5 1/3)·x - 1 1/3

At (1, 1), y' = (5 × 1 - 4)/(2 × 1 - 5 × 1) = 1/-3 = -1/3

The equation is therefore;

y - 1 = (-1/3)·(x - 1)

y = (-1/3)·x + 1/3 +  1 = 4/3 - (1/3)·x

The equation of a second tangent is; y = 4/3 - (1/3)·x = (1 1/3) - (1/3)·x

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Answer:

2x + 5

Step-by-step explanation:

3 + 2x - 9 - 4x + 11 + 5x - x

2x - 4x + 5x - x + 3 - 9 + 11 (put "exes" and "non-exes" together)

-2x + 4x - 6 + 11

2x + 5

Answer: Look at the screenshot below

Answer:

17＋p＝36

Step-by-step explanation:

people already on bus ＋ additional people＝limited people

17＋p＝36

p＝36-17

p＝19

Answer:

Step-by-step explanation:

1/2*1/5=1/10

1/10x=6

x=6*10

x=60

The equation in point-slope form is y = (-1/4)x + 17/4  and the graph is attached below.

What is the slope?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

Use the given points (-3, 5), along with the general point (x, y) to set up a slope calculation, and set it equal to the given slope.

(-3,5) and (x,y)

Slope = (y - 5)/[x - (-3)] = (y - 5)/(x + 3)

(y - 5)/(x + 3) = -1/4

y - 5 = -1/4(x + 3)

y - 5 = (-1/4)x - 3/4

y = (-1/4)x - 3/4 + 5

y = (-1/4)x + 17/4.

Hence, the equation in point-slope form is y = (-1/4)x + 17/4  and the graph is attached below.

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The estimate of the total number of litter complaints for planet Yellow is:

Between 3,835 and 20,800 complaints.

The average number of complaints about litter from the sample of 250 cities is 3.2 ± 0.59. This means that the actual number of complaints could be anywhere from 2.61 to 3.79. To estimate the total number of complaints for all 6,500 cities on planet Yellow, we need to multiply the sample average by the number of cities.

If we assume the lower end of the sample average (2.61), then the total number of complaints would be:

2.61 x 6,500 = 17,065

If we assume the upper end of the sample average (3.79), then the total number of complaints would be:

3.79 x 6,500 = 24,935

So the total number of complaints for planet Yellow is estimated to be between 17,065 and 24,935, which is equivalent to the range of:

Between 3,835 and 20,800 complaints.

B = 12/5 units

We can find the intersection point between these two lines:

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

Formula for the Area of a Triangle:

B = 1/2bh

Substitute 2 for b and 14/5 for h.

B = (1/2) · (2) · (12/5)

Multiply and simplify.

B = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

I hope this helps!  o(〃＾▽＾〃)o

Answer:

486 and 2187

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

(1)

here a₁ = 2 and r = 3 , then

a₆ = 2 × [tex]3^{5}[/tex] = 2 × 243 = 486

(2)

here a₁ = [tex]\frac{1}{3}[/tex] and r = 3 , then

a₉ = [tex]\frac{1}{3}[/tex] × [tex]3^{8}[/tex] = [tex]\frac{1}{3}[/tex] × 6561 = 2187

The difference between the median and the range in the data set shown below is option A. 5.

What is mean ?

Mean can be defined as the ratio of sum of given observations and total number of observations.

The calculation is as follows:

Median is 7

As two numbers in the middle should be 8 and 6.

Now

= 8+ 6

= 14

It should be divided by 2 so it comes 7.

The range should be

= 13- 1

= 12

Now  the difference is  

= 12-7

= 5

Therefore, The difference between the median and the range in the data set shown below is option A. 5.

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Answer:

Step-by-step explanation:

(-2*2-5)3=-27

Answer: (a2-b)3 the equation answer is mins 27

Step-by-step explanation:

a= -2 , b= 5

=(a2-b)3

= (-2×2-5)

= (-4-5)

= -9×3

= -27

Answer:

graph the line -2x+3 as a dotted line and shade in below that line.

Step-by-step explanation:

Linear inequalities are an inequality... which contain linear equations. To graph these linear inequalities it helps to first just graph the linear equation and then based on the inequality whether it's less than, less than or equal to, greater than, or greater than or equal to we would draw above or below this line and with a solid or dotted line.

So we're given the equation: [tex]y < -2x+3[/tex] it helps to first just graph the -2x + 3, which we can do by starting at the y-intercept of 3 and then going down 2 and going right 1 as defined by the slope -2. Likewise we can go up 2 and go left 1 from the y-intercept to define points to the left of the y-axis.

Now from here we look at the inequality: [tex]y < -2x+3[/tex], it's telling us y values less than -2x + 3, so we want to be below the line we just graphed, so shade below the line. One thing to note is it's a less than and not a less than or equal to so the line it self is not included, meaning we draw a dotted line.

I included a desmos graph which further illustrates how this would look.

Answer: Luz has 37 juice boxes.

Step-by-step explanation:

3 packages x 10 juice boxes = 30 juice boxes

30 + 7 = 37 juice boxes.

37 = 3 x 10 + 7 x 1

The ΔADB and  ΔADC are congruent that is ΔADB ≅ ΔADC.

What is the SAS property?

SAS (side-angle-side) is a property that uses two sides and at least one angle to prove that a set of figures are congruent to each other.

We have given,

l || m, that is line 'l' is parallel to line 'm'.

AB ≅ CD,          ........................(i)

that is the side AB is congruent to the side CD.

And, we have to prove the  ΔADB ≅ ΔADC.



We know that,

The opposite angle is congruent with each other.

Opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.

so, ∠CAD ≅ ∠ADB.           ........................(ii)

Also, one thing is that the side AD is common between these two angles,

AD  ≅ AD                          ........................(iii)

Then we can say that the ΔADB and  ΔADC are congruent to each other by SAS property, form the equations i, ii, & iii.

Hence, the ΔADB and  ΔADC are congruent that is ΔADB ≅ ΔADC.

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Answer:

You're right

Step-by-step explanation:

I don't think it can be anything else

Answer:

The firm's 2021 tax liability can be calculated as follows:

EBT (Earnings Before Taxes) = $168,300

Taxes = EBT * Corporate Tax Rate = $168,300 * 0.21 = $35,253.

let's say the front of the coin is T and the back is h

Step-by-step explanation:

th

tt

ht

hh

Answer:

Step-by-step explanation:

[tex]\frac{1}{\sqrt{y} } (\frac{1}{\sqrt{x} -\sqrt{y} } -\frac{1}{\sqrt{x} +\sqrt{y} } )\\=\frac{1}{\sqrt{y} } (\frac{\sqrt{x} +\sqrt{y} -(\sqrt{x} -\sqrt{y} )}{(\sqrt{x} -\sqrt{y} )(\sqrt{x} +\sqrt{y} )} )\\=\frac{1}{\sqrt{y} } (\frac{\sqrt{x} +\sqrt{y} -\sqrt{x} +\sqrt{y} }{(\sqrt{x} )^2-(\sqrt{y} )^2}\\=\frac{1}{\sqrt{y} } (\frac{2\sqrt{y} }{x-y} ) \\=\frac{2}{x-y} ,x\neq y[/tex]

Step-by-step explanation:]

Answer:
The total amount of product costs incurred to make 24,500 units is $208,250.

The total amount of period costs incurred to sell 16,000 units is $81,750.

Step-by-step explanation:

To determine the total amount of product costs incurred to make 24,500 units, we need to multiply the average cost per unit by the number of units produced. Since the average cost per unit is $8.50, the total product costs incurred to make 24,500 units would be:

$8.50 x 24,500 = $208,250

To determine the total amount of period costs incurred to sell 16,000 units, we need to use the information provided for the relevant range of production. The relevant range of production is $16,000 to 24,500. The period costs are fixed costs that do not change with the level of production. Since the period costs are not dependent on the level of production, the total amount of period costs incurred to sell 16,000 units would be the same as selling 24,500 units. To find the total period costs, we need to subtract the product costs from the total costs.

Total Costs = $290,000 (from the attached sheet)

Product costs = $208,250 (calculated above)

Period costs = Total Costs - Product costs = $290,000 - $208,250 = $81,750

The total amount of period costs incurred to sell 16,000 units is $81,750.

To convert a logic expression into conjunctive normal form (CNF), we need to follow these steps:

Use DeMorgan's laws to push negations inwards, so that they only apply to individual variables and not to entire sub-expressions.

Use the distributive property to expand any nested sub-expressions, so that all disjunctions are at the outermost level.

Use the associative property to group any conjunctions that have the same variables.

Here is the process to convert the given logic expression into CNF:

(A ^ B v C) ^ (B v ¬ C)

Using DeMorgan's laws, we can push negations inwards:

(A ^ B v C) ^ (B v C')

Using the distributive property, we can expand the nested sub-expressions:

A^B v A^C' v B v C

Using the associative property, we can group any conjunctions that have the same variables:

(A^B v B) v (A^C' v C)

So the CNF form of the given logic expression is:

(A^B v B) v (A^C' v C)

This is in the CNF form and it is a sum of products.

The value of Sin2θ in 4th the quadrant is -8/5

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled

Given that, cosθ = √5/5, we need to find sin2θ

According to SOH, CAH, TOA;

cos θ = adjacent/hypotenuse

Finding the opposite

5² = opp² + √5²

opp²  = 25 - 5

opp² = 20

opp = 4√5

Sinθ = opp/hyp

Sin = 4√5/5

Sin2θ = 2sinθcosθ

Sin2θ = 2 × 4√5/5 ×√5/5

Sin2θ = 8/5

Since, the quadrant is 4th so, Sin2θ = -8/5

Hence, the value of Sin2θ in 4th the quadrant is -8/5

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