Tennessee State University - Marching In - 2019

Answer:

180 dollars

Step-by-step explanation:

270 for 16 hours = 16.875 dollars for each hour

15.00 an hour will be paid to larry

larry is doing 3/4 of those 16 hours

12 hours

15 x 12

larry gets 180 dollars for 12 hours of work

hope this helps x

The approximate equilibrium profits for both firms are: 11833.72 and 10842.

Firm 1 will choose to produce a quantity of QM = 180 when it becomes the monopolist.

When firm 2 produces QM = 180, firm 1 wants to produce a quantity of q₁ = 90

Option F, none of the given options (a) r ≤ 0.5, (b) r ≤ 0.395, (c) r ≤ 0.488, (d) r ≤ 0.152, (e) r ≤.294 F(none of the above

Here, we have,

To solve this exercise, attempt all questions one after the other.

To compute the approximate equilibrium profits for both firms, we need to determine their optimal quantities and corresponding prices.

Firm 1's profit (Π₁) can be calculated as follows:

Π₁ = P(Q) × q₁ - C₁(q₁)

where P(Q) = 400 - Q if Q < 400, and Q = q₁ + q₂.

Similarly, firm 2's profit (Π₂) can be calculated as:

Π₂ = P(Q) × q₂ - C₂(q₂)

By substituting the given cost functions, we have:

Π₁ = (400 - Q) × q₁ - 40 × q₁

Π₂ = (400 - Q) × q₂ - 5092

To find the equilibrium, we need to determine the values of q₁ and q₂ that maximize both firms' profits simultaneously.

Using the given quantity Q = 91 + 92, we can substitute Q in the profit equations and solve for the optimal quantities.

The approximate equilibrium profits for both firms are:

(a) Π₁ = 11833.72, Π₂ = 10842.

10. If firm 1 becomes the monopolist in this market, it will choose the quantity that maximizes its profit. To find this quantity, we can set up the monopolist's profit maximization problem.

The monopolist's profit (Π) is given by:

Π = P(QM) × QM - C₁(QM)

where P(QM) = 400 - QM, and QM is the quantity produced by the monopolist.

By substituting the given cost function C₁(91) = 40q₁ and rearranging the equation, we have:

Π = (400 - QM) × QM - 40 × QM

To find the quantity that maximizes the monopolist's profit, we take the derivative of Π with respect to QM, set it equal to zero, and solve for QM.

Differentiating Π with respect to QM:

dΠ/dQM = 400 - 2QM - 40

Setting dΠ/dQM = 0 and solving for QM:

400 - 2QM - 40 = 0

-2QM = -360

QM = 180

Therefore, firm 1 will choose to produce a quantity of QM = 180 when it becomes the monopolist.

If firm 2 produces a certain quantity, firm 1 wants to choose the quantity that maximizes its own profit. In this case, firm 2 produces QM = 180. Firm 1's profit (Π₁) can be calculated using the profit function:

Π₁ = P(Q) × q₁ - C₁(q₁)

Substituting P(Q) = 400 - Q and Q = q₁ + 180, we have:

Π₁ = (400 - q₁ - 180) × q₁ - 40 × q₁

To find the quantity that maximizes firm 1's profit, we differentiate Π₁ with respect to q₁, set it equal to zero, and solve for q₁.

Differentiating Π₁ with respect to q₁:

dΠ₁/dq₁ = 400 - 2q₁ - 180 - 40

Setting dΠ₁/dq₁ = 0 and solving for q₁:

400 - 2q₁ - 180 - 40 = 0

-2q₁ = -180 - 40 + 400

-2q₁ = 180

q₁ = 90

Therefore, when firm 2 produces QM = 180, firm 1 wants to produce a quantity of q₁ = 90 to maximize its own profit.

The answer is (a) q₁ = 90.

To determine the values of r for which the strategy in (3) is sustainable using a "Grim Trigger" strategy, find the discount factor at which the Grim Trigger strategy becomes optimal.

In the Grim Trigger strategy, if one player deviates from the cooperative strategy, the other player permanently switches to a punishment strategy.

For Grim Trigger to be sustainable, the discount factor (r) should be sufficiently high to make the cooperative strategy more attractive than deviating to the punishment strategy.

Since the exercise does not explicitly provide a cooperative strategy, it is difficult to determine the exact threshold for r. The answer may depend on the specific details of the cooperative strategy and punishment strategy.

Therefore, none of the given options (a) r ≤ 0.5, (b) r ≤ 0.395, (c) r ≤ 0.488, (d) r ≤ 0.152, (e) r ≤.294

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Answer:

ration of bream to tench to carp

12: 7: 21

Step-by-step explanation:

12/40 = bream

28/40 = not bream

(28/40) x (1/4) = tench

(28/40) x (3/4) = carp

tench = (28/40) x (1/4)

= 7/40

carp = (28/40) x (3/4)

= 21/40

ration of bream to tench to carp

12: 7: 21

Answer:

12:7:21

Step-by-step explanation:

If you have 40 total, the non-bram are (40-12) = 28. One quarter of them, or 7 (since 7x4=28)are trench. It leaves 28-7= 21 carps. The total ratio is: 12:7:21. Since the three numbers are co-primes (ie, they don't share a divisor between all 3) there is no way to simplify the ratio (or, if you prefer, their sum, 40, is the minimum ammount of fishes you need to have a whole number of fishes in the pond).

1. Ptolemy's Theorem: This theorem states that for a cyclic quadrilateral (a quadrilateral inscribed in a circle), the product of the lengths of its two pairs of opposite sides is equal to the product of the lengths of its diagonals. Mathematically, it can be expressed as AB * CD + BC * AD = AC * BD.

2. Cross-ratio: The cross-ratio of four collinear points A, B, C, and D is defined as the ratio of the product of the distances between two pairs of points divided by the product of the distances between the other two pairs of points. Mathematically, it can be expressed as (AC/BC) / (AD/BD).

3. Sin (sine): This is a trigonometric function that relates the ratio of the length of the side opposite a given angle to the length of the hypotenuse in a right-angled triangle. Mathematically, it can be expressed as sin(θ) = opposite/hypotenuse.

To show that JA'B' |C'B'| sinα sinβ sinγ sin(ZA'OB') sin(ZB'C'O) sin(ZC'OB') sin(ZB'A'O), we would need more information or a clear diagram to provide a step-by-step proof. Please provide additional context or a diagram to help us understand the problem better, and we'll be happy to help

To solve this problem, we can use Ptolemy's Theorem and the cross-ratio.

First, let's recall what these terms mean. Ptolemy's Theorem states that in a cyclic quadrilateral (where all four vertices lie on a circle), the product of the diagonals is equal to the sum of the products of the opposite sides. The cross-ratio is a mathematical tool used to compare the ratios of distances between four collinear points.

Now, let's apply these concepts to the given diagram. We can see that A, B, A', and B' all lie on a circle (since the opposite angles add up to 180 degrees), so quadrilateral AA'B'B is cyclic. By Ptolemy's Theorem, we have:

JA' * B'B + JB' * A'B = JA'B' * AB

Next, we can use the cross-ratio to relate the ratios of the lengths of the sides and angles in the diagram. Specifically, we have:

(JA', JA; JB', JB) = (A'B', AB; B'B, AA')

where the notation (x, y; z, w) represents the cross-ratio of four collinear points x, y, z, and w.

Using trigonometric identities, we can express the cross-ratio in terms of the given angles and sines. For example:

(JA', JA; JB', JB) = (sina, sin 8; siny, sin (ZA'OB'))

Combining these two equations and simplifying, we get:

JA' / JB' = (sina * sin (ZC'OB')) / (siny * sin (ZA'OB'))

Finally, we can use similar reasoning to relate JA' to C'B' and JB' to C'A'. By the Law of Sines, we have:

JA' / C'B' = sin B / sin (ZB'C'O)

JB' / C'A' = sin B / sin (ZB'A'O)

Substituting these ratios into our earlier equation, we get:

(JA'B' | C'B') = (sina * sin 8 * sin B) / (siny * sin (ZA'OB') * sin (ZB'C'O) * sin (ZC'OB') * sin (ZB'A'O))

Therefore, we have shown that the cross-ratio of the collinear points JA', JB', C'B', and C'A' is equal to the right-hand side of the given equation.

Hi! In order to answer your question, let's consider the given terms:

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The scale of measurement being used to classify the students in the introductory art class as art majors and non-art majors is nominal.

Nominal scales are used for categorical data, where the items being measured can be placed into categories or labels, but no order or ranking is implied. In this case, the students are being classified into two categories: art majors and non-art majors.

The students are being classified into two categories: art majors and non-art majors. These categories are mutually exclusive and exhaustive, meaning that every student in the class falls into one and only one of the two categories. There is no inherent order or ranking to the categories, and it is not meaningful to say that one category is greater or smaller than the other. This type of data classification is an example of nominal scale measurement.

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Answer:

0.001

Step-by-step explanation:

The volume of a cube when the area of a face is 0.01 square units is 0.001 cubic units

Cube is a three dimensional solid with a special characteristics such as having all the sides equal and intersecting at an angle of 90 degrees. A cube has six faces and each face has same properties as a square.

Given data

Area of face of a cube = 0.01 square units

solving for a side for the cube we have:

let a side of the cube be x

\(x = \sqrt{0.01}\)

x = 0.1

The volume of a cube is calculated by multiplying the three sides. We have earlier made a side to be x, so we have:

volume of a cube = x * x * x

volume of a cube = x^3

substituting the value of x gives

volume of a cube = 0.1^3

volume of a cube = 0.001 cubic units

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Answer:

32

Step-by-step explanation:

Hope it helps!!

Answer:

Check pdf

Step-by-step explanation:

The number of sides equals the number of the line of symmetry. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The relationship between the number of sides a regular polygon has and the number of lines of symmetry will be

In a regular polygon, the amount of symmetry lines is equal to the total of sides.

Then the correct option is B.

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Answer:

B They are the same value!

Step-by-step explanation:

Why? Well go look in your lesson although because i got this correct i forgot ago and yeah (TRUST++)

Answer:

Step-by-step explanation:46

This can be seen by using the chain rule, where the derivative of cscx can be written as d/dx(cscx) = d/dx(1/sinx) = (−1/sinx)(cosx) = (−1/sinx)(−cotx) =−cscxcotx.

The attempt to derive the derivative of cscx is as follows:

(cscx)(−cotx) = −cscxcotx

(cscx)' = (−cscxcotx)'

= (−cscx)'(cotx) + (−cotx)'(cscx)

= (−cscx)(−cscx) + (−cscxcotx)

The error first appears in the third step, where the derivative of cscx is incorrectly taken as (−cscx). The correct derivative of cscx is −cscxcotx. This can be seen by using the chain rule, where the derivative of cscx can be written as d/dx(cscx) = d/dx(1/sinx) = (−1/sinx)(cosx) = (−1/sinx)(−cotx) =−cscxcotx.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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The correct answer of the operation is option B: 4x^2 - 9.

To perform the operation (2x-3)(2x+3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's go through the steps:

First: Multiply the first terms of each binomial.

(2x)(2x) = 4x^2

Outer: Multiply the outer terms of each binomial.

(2x)(3) = 6x

Inner: Multiply the inner terms of each binomial.

(-3)(2x) = -6x

Last: Multiply the last terms of each binomial.

(-3)(3) = -9

A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant, a binomial is an expression that has two unlike terms connected through an addition or subtraction operator in between.  

Now, let's combine the like terms:

4x^2 + 6x - 6x - 9

Notice that the terms 6x and -6x cancel each other out.

Simplifying further, we have:

4x^2 - 9

The correct answer is option B: 4x^2 - 9.

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Answer:

−6

Step-by-step explanation:

Answer:

im not sure i understand but i think you mean put them in order? if i get this wrong then i can answer it down in the comments under this answer

12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 4

please let me know if i got it wrong so i can try to answer it correctly. try adding a picture of the question cus i dont understand

Answer: 144 feet

Step-by-step explanation:

Answer: 4)y=3x-1

Step-by-step explanation:

The y value relates to the dilatation center, which the line image's equation will be \(y = 3x - 1\). In standard form, \(y = mx + b\) y-intercept is represented by the letter b.

\(y = 3x - 1\) is the equation of a line.

If somehow the line is dilatable by a factor of 2 and centered at \((3, 8)\). To begin with, we must determine the y-value for which \(x = 3\).

\(y = 3(3) - 1\\\\y = 9 - 1\\\\y = 8\)

This equation of the line image will be \(y = 3x - 1\), because the y value is comparable to the center of dilatation.

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The length that will give a plot with the maximum area allowed is 6 meters.

To find the length that will give a plot with the maximum area, we need to use the formula for the area of a rectangle, which is A = lw, where A is the area, l is the length, and w is the width. In this case, we are given that the area is 45 square meters, and the width is 7.5 meters.

Substituting these values into the formula, we get:

45 = l(7.5)

To solve for l, we divide both sides by 7.5:

l = 45/7.5

Simplifying, we get:

l = 6

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The appropriate values in the table will be:

Cost selling price

1. 1

2. 3

3. 5

From the information, the store sells a toy car for $1 less than twice what it costs to make the car.

It should be noted that the selling price when the cost price is $1 will be:

= (2 × $1) - $1

= $1

It should be noted that the selling price when the cost price is $2 will be:

= (2 × $2) - $1

= $3

It hould be noted that the selling price when the cost price is $3 will be:

= (2 × $3) - $1

= $5

The equation that shows the relationship will be:

Selling price = 2c - 1

The selling price when cost price is $4 will be:

=(2 × $4) - 1

= $7

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The value of x from the given rectangle is 18.

We are given that ABCD is a rectangle. We can see in the image provided that angle DOC is represented as (16\(2^\circ\) - 3x) and angle CAB is given as 2x. Given this information, we have to find the value of x.

ABCD is a rectangle and its diagonals are AC and BD. We know that the diagonals of a rectangle are equal and they bisect each other.

In triangle AOB, angle AOB = 16\(2^\circ\) - 3x

angle AOB = angle DOC, as they are vertically opposite angles.

We know that OA = OB, therefore,

angle OBA = angle OAB = 2x

Therefore,

angle AOB + angle OBA + angle OAB = 18\(0^\circ\) (angle sum property)

162 - 3x + 2x + 2x = 180

162 + x = 180

x = 180 - 162

x = 18

Therefore, the value of x is 18.

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The full question is "ABCD is a rectangle. Find x. "

Answer:

Step-by-step explanation:

Given line:

Perpendicular line has opposite reciprocal slope:

Use the coordinates of the point (4, 1) to find b:

The line is:

Answer:

45 bottles per minute

Step-by-step explanation:

the number of bottles per minute would equal the rate of change, or 'slope'

the slope formula is 'the difference of the two y-values / difference of the two x-values'

(270-135) / (6-3) = 135/3 or 45 bottles per minute

The sample size used in the analysis was 300 sales calls for the given standard error.

The standard error (SE) is a statistical sample population's approximate standard deviation. The difference between the population's computed mean and one that is widely regarded as correct is described by the standard error. The standard error tends to be reduced the more data points included in the mean computations.

Given that, Lori obtains a book adoption on 20%, and the proportion of 0.400.

The Standard error is given as:

SE = √[p(1-p)/n]

Rearranging for n we have:

n = p(1-p)/(SE²)

n = 0.20(1-0.20)/(0.0400)²

n = 300.25

Hence, the sample size used in the analysis was 300 sales calls.

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The complete question is:

Answer:

$31.104

Step-by-step explanation:

Given :

Regular price = $36

Discount on sale = 20%

Discounted price = (100-20)%*36=0.8*36 = $28.8

Sales tax rate = 8% ;

Tax on sale = 8% * $28.8 = 2.304

Final amount that will have to be paid :

Discounted price + tax on sale

$28.8 + $2.304

= $31.104

C and D are parallel line because ∠1 and ∠5 are congruent.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles, linear angles, same side interior angles etc

Therefore, the measure of ∠1, ∠4, and ∠5 are 120 degrees.  The measure of ∠7 is ∠60 degrees.

Therefore, let's find if the line c and d are parallel.

Yes c and d are parallel because ∠1 and ∠5 are congruent.

∠1 and ∠5 are corresponding angles.

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Answer:

2z:2x

or

2z/2x

Step-by-step explanation:

you can write z/x as z:x. Then just multiply both sides by the same number to get an equivalent ratio. Let's multiply by 2.

then the answer will be:

2z:2x or 2z/2x

Have a great day!!

The value of ratio that is equivalent to z / x is,

⇒ s / q

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Two similar triangle are shown in figure.

Now, By definition of similarity,

Ratio of sides of corresponding sides are equal .

Hence, We get;

The value of ratio that is equivalent to z / x is,

⇒ z / x = s / q

Thus, The value of ratio that is equivalent to z / x is,

⇒ s / q

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Complete question is shown in image.