2.
When solving an equation that uses division, such as n/8 = 7, what inverse
operation should you use to solve for n?
a) Addition
b) Subtraction
c) Multiplication
d) Division

The value of the given function if x = 2 and y = 4 is 37 3/5

Functions are expressions used to determine the relationship between two or more variables.

For instance, f(x) is pronounced as the function of x. Given the expression below

(y+x)² + 4/5x

Given the following parameters

x = 2

y = 4

Substitute the given parameters

f(x,y) = (y+x)² + 4/5x

f(2, 4) = (4+2)² + 4/5(2)
f(2,4) = 6^2 +8/5

f(2, 4) = 36 + 8/5

f(2, 4) = 180+8/5

f(2, 4) =188/5

f(2, 4) = 37 3/5

Hence the value of the given function if x = 2 and y = 4 is 37 3/5

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The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

The cost function and demand function of a monopolist can be found in the question. These can be used to derive the marginal revenue and marginal cost.

The optimal level of output and profit can be derived using the marginal revenue and marginal cost equations. After that, you can confirm that the demand is elastic at the optimal output.

After that, you need to calculate the markup and the DWL associated with the monopoly output. Finally, you need to find the new optimal output and determine if the DWL increases or decreases.

Given:Cost Function C(Q) = ¼ Q2 Marginal cost MC(Q) = ½ Q Demand P = 100 – ¼ Q. a.

Sketch the market demand, marginal costs, and marginal revenues.

Market demand:Marginal cost:Marginal revenue: b. What is the monopolist’s optimal level of output and profits?In the monopolistic market, the optimal level of output and profits are given by the condition that Marginal Revenue = Marginal Cost.

Marginal Revenue is the derivative of Total Revenue with respect to Quantity, which can be found by using the demand equation and solving for Q:TR(Q) = P × Q = (100 – ¼ Q)Q = 100Q – ¼ Q2MR(Q) = dTR(Q)/dQ = 100 – ½ QMarginal Cost is given by the question as MC(Q) = ½ Q.

The monopolist's optimal level of output and profits can be found by equating MR and MC:100 – ½ Q = ½ Q => Q = 66.67 units of outputWhen Q = 66.67, the price is given by the demand equation:P = 100 – ¼ Q => P = 83.33.

Therefore, the monopolist's optimal output is 66.67 and optimal profits are (P – MC) × Q = (83.33 – 33.33) × 66.67 = $2,000.

Confirm that demand is elastic at the optimal output.The demand is elastic at the optimal output if the absolute value of the price elasticity of demand is greater than one.

The price elasticity of demand is given by:Ed = (% Change in Quantity Demanded)/(% Change in Price) = (dQ/Q)/(dP/P) × P/QSince MR = P(1 - 1/Ed), MR is greater than MC if Ed is less than 1 and less than MC if Ed is greater than 1. Therefore, the optimal output occurs where Ed is equal to
Substituting the values of P and Q, we get:Ed = (dQ/Q)/(dP/P) × P/Q = -1.47Therefore, demand is elastic at the optimal output.

Calculate the firm’s markup.The markup is given by the formula (P - MC)/P.Substituting the values of P and MC, we get:(83.33 - 33.33)/83.33 = 0.6 = 60% markup .

What is the DWL associated with the monopoly output?DWL (Deadweight Loss) is the difference between the total surplus in a competitive market and the total surplus in a monopoly market.

The formula for DWL is:DWL = (1/2)(Pmon - Pcomp)(Qcomp - Qmon)DWL can be calculated by using the demand equation and finding the quantity demanded at the monopoly price and the competitive price. At the monopoly price of $83.33, the quantity demanded is 66.67.

At the competitive price of $66.67, the quantity demanded is 100. Therefore, DWL can be calculated as follows:DWL = (1/2)(83.33 - 66.67)(100 - 66.67) = $1,111.1 f.

Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?The new optimal output will be where the new marginal cost equals the original marginal revenue.

The subsidy reduces the marginal cost to (1/2) Q - $10.

Therefore, the monopolist's new optimal output can be found by solving for Q:100 - 1/2 Q + 10 = 1/2 Q => Q = 74.07 units of outputWhen Q = 74.07, the price is given by the demand equation:P = 100 - 1/4 Q => P = $81.48 g. Does the DWL fall or rise?The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

Therefore, the deadweight loss falls.

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Answer:-4c^2+4c+6

Step-by-step explanation:

Hope that’s what ur looking for:)

Answer:

2 + 7c – 4c2 – 3c + 4

4c∧2 + 4c + 6

Step-by-step explanation:

Answer:

Listed below

Step-by-step explanation:

  1. To solve number 1 we need to find a common denominator.

A common denominator consists of two or more fractions that have the same denominator.

\(\frac{3}{4} =\frac{6}{8}\)

How can we convert this? Well, to go from 4 to 8, we multiply by 2. Doing the same to the top number (Numerator) will get us a fraction of \(\frac{6}{8}\).

Adding the two fractions together:

\(\frac{7}{8} +\frac{6}{8}= \frac{13}{8} or1 \frac{5}{8}\)

Therefore, the answer to question 1 is \(1\frac{5}{8}\).

   2.  If there are 60 students in a class, and \(\frac{3}{4}\) of them are girls, we can use this equation to solve for the number of girls in the class:

We multiply by 0.75 because 0.75 is equivalent to \(\frac{3}{4}\).

So, there are 45 girls in the class.

To solve for the rest of the class that are boys, we can use this equation:

The answer to question 2 is 15 boys.

  3. If the temperature was -2°C, and it is now 8°C, we can use this equation to solve for the temperature difference:

So, the temperature difference is 10°C.

  4. If Mt. Everest's elevation is at 29,028 feet, and the dead sea is -458, we can use this equation to solve for the difference in elevation:

Therefore, the difference in elevation is 29,486 feet.

Answer:

Check the explanation

Step-by-step explanation:

1 centimetre is = 0.01 meter

therefore the scale in Brennan drawing is 1 centimetre  is used to represent 7 metres

Answer:

1 cm:7 meters

Step-by-step explanation:

The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:

21 cm:147 meters

As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:

1 cm:7 meters

well, the tax is clearly $35.20 - $32 = $3.20.

now, if we take 32(origin amount) to be the 100%, what is 3.20 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 32 & 100\\ 3.20& x \end{array} \implies \cfrac{32}{3.20}~~=~~\cfrac{100}{x} \\\\\\ 32x=320\implies x=\cfrac{320}{32}\implies x=10\)

Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

To determine which planks Amanda should use to build the triangular-shaped kennel:

Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

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Answer:

a=144.15

median=157.5

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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Answer:

D

Step-by-step explanation:

John is 10cm taller than Peter, if Peter is h than John's height would be h+10 since it is Peter's height plus ten.

The solution of the real matrix A for the fundamental set of solution y' =Ay is given by y1(t) = e^(5t)(cos(3t) − sin(3t)) and y2(t) = e^(5t)(cos(3t) + sin(3t)).

Let A be written as A = P + iQ, where P and Q are real matrices,

Since the eigenvalue is complex, the matrix A must have complex entries.

We have,

Av = λv,

where v = −1 + i is the eigenvector.

(Av)

= (P + iQ)(−1 + i)

= (−P − Q) + i(-Q + P)

= λ(−1 + ii)

= (−5 + 3i)(−1 + i)

= 2 − 8i.

Equating real and imaginary parts, we get two equations,

−P − Q = 2,

- Q + P = −8.

Solving for P and Q, we get

-2Q = -6

⇒ Q = 3

⇒ P = -5

P = 3 − i,

Q = 1 + 3i.

Thus, A = P + iQ

            = -5 + 3i

Now, we can find the real and imaginary parts of e^(λt)v,

e^(λt)v

= e^((5 + 3i)t)(−1 + i)

= e^(5t)e^(3it)(−1 + i)

= e^(5t)(cos(3t) − sin(3t) + i(cos(3t) + sin(3t))).

The real part of e^(λt)v gives a real solution,

so we take y1(t) = Re(e^(λt)v),

y1(t) = e^(5t)(cos(3t) − sin(3t)).

The imaginary part of e^(λt)v gives an imaginary solution,

so we take y2(t) = Im(e^(λt)v).

y2(t) = e^(5t)(cos(3t) + sin(3t)).

Thus, a fundamental set of solutions for y′ = Ay consisting entirely of real solutions is given by y1(t) and y2(t) is equal to e^(5t)(cos(3t) − sin(3t)) and

e^(5t)(cos(3t) + sin(3t)) respectively.

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Answer:

The ball was thrown from a height of 3 feet

Answer:

Step-by-step explanation:

If you put 0 for t, then you get 3 as a result of calculation.

It means the start point is 3 feet, in other words, the ball was thrown from 3 feet from the ground.

Correct choice is A.

Answer:

625

Step-by-step explanation:

(-5)^4 = 625

The answer is 2 1/4 cupcakes

Answer:

2 1/4 cupcakes

Step-by-step explanation:

Step 1: State what is know

There are 3 people Jake, Brother 1, and Brother 2.  They all ate 3/4 of a cup cake each

Step 2: Solve

Multiple 3 by 3/4

3 x 3/4 = \(C_{Total}\)

2.25 = \(C_{Total}\\\)

0.25=1/4

2 1/4 cupcakes

Step 3: Therefore Statement

Therefore the 3 brothers ate 2 1/4 cupcakes

Answer:right angles, two sets of parallel sides, and opposite sides equal.

Step-by-step explanation:

Answer:

Trinomial——2

i just took it

It is possible for there to be a real number t such that tan(t) is equal to 5/4.

The tangent function (tan) is a periodic function that repeats its values every π radians or 180 degrees. It has both positive and negative values across its periodicity. Therefore, for any given value of tan(t), there are multiple solutions.

To find a specific angle where tan(t) is equal to 5/4, we can use inverse trigonometric functions. The inverse tangent function (arctan or \(tan^{-1}\)) can be used to find the angle associated with a given tangent value.

In this case, we can find an angle t such that tan(t) = 5/4 by taking the inverse tangent of 5/4. Using a calculator or mathematical software, we find that arctan(5/4) is approximately 51.34 degrees or approximately 0.896 radians.

Therefore, there exists a real number t such that tan(t) is equal to 5/4, specifically at approximately t = 51.34 degrees or t = 0.896 radians.

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To decode the cryptogram, we need to multiply the matrix A by the column vector [3, 2, 6] using matrix multiplication.

Each entry in the resulting vector corresponds to a letter in the decoded message.

Let's perform the matrix multiplication:

A =

[1 1 3]

[1 1 4]

Column vector: [3, 2, 6]

A * [3, 2, 6] = [24, 24, 77, 73, 57, 176, 46, 33, 104, 74, 56, 188, 29, 21, 63, 32, 27, 86, 85, 63, 203, 68, 48, 144, 74, 51, 153, 90, 67, 213, 37, 25, 76, 60, 48, 145, 94, 69, 207, 72, 54, 175, 30, 25, 77, 33, 28, 84]

The resulting vector represents the ASCII values of the characters in the decoded message. Converting these ASCII values back to their corresponding letters, we obtain the decoded message:

"SEMPTEMBER THE ELEVENTH WILL ALWAYS REMEMBER"

Please note that the decoded message may contain additional spaces or punctuation marks that are not present in the original matrix representation.

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Answer:

Step-by-step explanation:

The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10

So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.

After some algebraic handling, the algebraic expression for x in terms of r is x = 1 / r + 1 .

In this question we must make use of algebra properties to clear a variable within a formula only formed by algebraic form, there are no trascendent functions herein. Clearing variables consists in leaving such variables alone in one side of the equivalence. Now we proceed to present the procedure in detail:

The statement presents a typing omission, correct form is shown below:

Solve the equation r = 1 / (x - 1) for x in terms of r.

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The area of rectangle bounded by the x-axis and the semicircle is 72.

Let us name the semicircle with center (0, 0) and radius 6 to have the equation y = √36 – x² and the rectangle to be R.

The objective is to evaluate the area of the rectangle.

A graph of the semicircle and the rectangle are shown below:

Graph of the semicircle and the rectangle

The rectangle is bounded by the x-axis and the semicircle y = √36 – x²;

therefore, we know that the base of the rectangle is from x = -6 to x = 6.

Since the equation for the semicircle is y = √36 – x², the top corner of the rectangle should be y = √36 – 6² = √0 = 0 (that is when x = 6) and the bottom corner of the rectangle should be y = √36 – (-6)² = √0 = 0 (that is when x = -6).

We know that the base of the rectangle is 2(6) = 12 (from x = -6 to x = 6) and the height of the rectangle is 6 (from y = 0 to y = 6).

Therefore, the area of the rectangle is 72.

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Answer:

672

Step-by-step explanation:First you need to change the percent into 12 over 100 times 600.then the result is 72.after that it says increased so you plus 600 plus 72 and that is the answer

Answer:

Felt that

Step-by-step explanation:

Answer:

ee

Step-by-step explanation:

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

yes, he is correct

Step-by-step explanation:

The area of  region enclosed in line y=mx and curve y=x/(x^2 1) is  \(ln(m \sqrt{(1/m^2 - 1))\)- m/2 (1/m^2 - 1) square unit.

The line y = mx intersects the curve y = x/(x^2 + 1) at two points, say (a, ma) and (b, mb), where a < b. Setting mx = x/(x^2 + 1), we can solve for x to get x = mx / (1 - m^2 x^2), or equivalently, (1 - m^2 x^2)x = mx, which gives x = 0 (when m = 0) or x^2 = 1/m^2 - 1, or equivalently, x = ±\(\sqrt{(1/m^2 - 1)\). Since the line is symmetric about the origin, we can assume m > 0.

For the line to enclose a region with the curve, we must have a < 0 < b, which means the intersection points are (- \(\sqrt{(1/m^2 - 1)\), - m \(\sqrt{(1/m^2 - 1)\)).  and\(\sqrt{(1/m^2 - 1)\), m \(\sqrt{(1/m^2 - 1)\)). The area of the enclosed region is then:

∫_-\(\sqrt{(1/m^2-1)^\sqrt{(1/m^2-1)\)[x/(x^2+1) - mx] dx

We can use partial fraction decomposition to write x/(x^2+1) as 1/2 [1/(x-i) - 1/(x+i)], where i = sqrt(-1), and then integrate term by term to get:

∫_-\(\sqrt{(1/m^2-1)^\sqrt{(1/m^2-1)\) [x/(x^2+1) - mx] dx

= 1/2 [ln(x-i) - ln(x+i) - m/2 x^2] |_ - \(\sqrt{(1/m^2-1)^\sqrt{(1/m^2-1)\)

= ln(\(m \sqrt{(1/m^2 - 1))\) - m/2 (1/m^2 - 1)

Therefore, the area of the enclosed region is \(ln(m \sqrt{(1/m^2 - 1))\)- m/2 (1/m^2 - 1) square unit. This expression is undefined when m <= 1 or m >= -1, since in those cases, the curve and line do not intersect.

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Answer:

\(3\)×\(10^{-10\)

Step-by-step explanation:

Expand all the numbers:

Find the biggest number:

The biggest number is the list is 0.0000000003 which is \(3\)×\(10^{-10\) which will be your answer!

Have a lovely day :)

Our estimate for f(1.2) is 1.1 which satisfies differential equation.

To find the equation of the tangent line to the curve y = f(x) through the point (1,1), we first need to find the value of f(1) at x = 1. To do this, we can solve the differential equation given:

\(dy/dx = xy/2\)

Separating the variables, we get:

\(dy/y = x/2 dx\)

Integrating both sides, we get:

\(ln|y| = x^2/4 + C\)

Where C is the constant of integration. To find the value of C, we can use the initial condition that f(1) = 1:

ln|1| = 1/4 + C

C = -1/4

So our equation for f(x) is:
\(ln|y| = x^2/4 - 1/4\)

Simplifying, we get:

\(y = e^(x^2/4 - 1/4)\)

To find the equation of the tangent line through the point (1,1), we need to find the slope of the tangent line at x = 1. To do this, we take the derivative of f(x) and evaluate it at x = 1:

\(f'(x) = (1/2)x e^(x^2/4 - 1/4)f'(1) = (1/2)(1) e^(1/4 - 1/4) = 1/2\)

So the slope of the tangent line at x = 1 is 1/2. Using the point-slope form of a line, we get:

\(y - 1 = 1/2(x - 1)\)

Simplifying, we get:

y = 1/2 x + 1/2

To estimate the value of f(1.2), we can use our tangent line equation. Plugging in x = 1.2, we get:

\(y = 1/2(1.2) + 1/2 = 1.1\)

So our estimate for f(1.2) is 1.1.

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Answer:

12

Step-by-step explanation:

Hi there !

144 | 2

72 | 2

36 | 2

18 | 2

9 | 3

3 | 3

1

144 = 2⁴ × 3²

√144 = √2⁴×3² = 2²×3 = 4×3 = 12

Good luck !