find x round to the nearest tenth 31° 400ft x=[?]ft

To find the level of production that maximizes the manufacturer's total revenue, we need to find the quantity, q, that maximizes the revenue function, R(q) = p*q.

First, we need to find the revenue function by substituting the demand function for p in the revenue function:
R(q) = p*q = (−0.13q+156)*q = -0.13q^2 + 156q
Next, we need to find the quantity that maximizes this function. To do this, we can take the derivative of the revenue function and set it equal to zero:
R'(q) = -0.26q + 156 = 0
Solving for q, we get:
q = 600
This means that the quantity that maximizes the manufacturer's total revenue is 600 units.
To find the maximum revenue, we can plug this quantity back into the revenue function:
R(600) = -0.13(600)^2 + 156(600) = 46,800

Therefore, the maximum revenue is $46,800.

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We need to start by choosing some 10 integers so that we can ensure that when they are divided by 11, at least two of the integers will give the same remainder.

The following is the explanation:

If you divide a number by 11, the answer will be a fraction. There are 11 remainders which might occur, which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

If for example we choose one number and divide it by 11, there is a chance that the remainder may be any of the 11 (0 reminders 1). Therefore, if we choose 10 numbers, we will have the opportunity to pick 10 unique remainders, ranging from 0 to 10.

In conclusion, if we select one more integer, that is we pick 10 integers, then at least two of them would have the same remainder since there are only 10 remainders.

Because of this, we need to choose 10 numbers such that we can guarantee that at least two of them will provide the same remainder when they are divided by 11.

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Answer:

45c−20c2

Step-by-step explanation:

have great day

In the main() function, we prompt the user to enter the values of , , and . Then, we call the user-defined function to calculate and display the maximum root.

The quadratic equation is given by: a² + b + c = 0. To find the maximum root of the quadratic equation, a user-defined function is required. The function takes parameters , , and and returns the maximum root. This function can be used in the main() function to obtain the values of , , and from the user and display the maximum root.

To find the maximum root of a quadratic equation, we need to determine the vertex of the parabola represented by the equation. The x-coordinate of the vertex is given by = -/2. By substituting this value into the quadratic equation, we can calculate the maximum root.

The user-defined function will compute the maximum root as follows: Calculate the discriminant, Δ = ² - 4. If Δ < 0, the equation has no real roots, so return an appropriate error message. Calculate the x-coordinate of the vertex, = -/2.

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If the government was to impose a minimum wage of $12 then the number of unemployed workers would be 4,000.

If the government was to impose a minimum wage of $12 then a situation would arise where the demand for workers is 8,000 yet the supply for workers is 12,000.

This would lead to an unemployment rate of:

= 12,000 - 8,000

= 4,000 people

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Given:

Therefore , I have to pay 86028.66 .

Answer:

.25

Step-by-step explanation:

.5 x .5 = .25

Step-by-step explanation:

espero que te ayude amigo

The correct answer for the given problem is option (D) .

growth rate in the initial population of 1.08.. So, the equation for solving this population growth problem is 10,000(1.08) ²⁰

Before twenty years, the actual population was 10,000.

Population growth per year = 8% = ((100+8)10,000)/100=10,800.

So, there will be an addition of 800 people to the population every year.

After a period of twenty years, the total population was 10,000 + 19×(800) = 25,200.

Population for t years = (Initial Population)× (Growth or Decay Rate)×time

Using the above population increment formula,

Time( in years) ----->Population

0------>10000

1------->10000 (1.08)

2------->10000(1.08)(1.08)

3------->10000(1.08)(1.08)(1.08)

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

n ----->10000(1.08)

Here, we are required to have a population after 20 years, i.e., n= 20. The required equation, which is used for solving population growth problem, is 10000(1.08)²⁰

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Maria buys a game for $8.66 and some batteries for $6.21. She pays with a $20 bill. We are asked to find the best estimate of how much change she should get. In order to find that out, we need to subtract the total cost of the game and batteries from $20.  

Firstly, let's add the cost of the game and batteries:$8.66 + $6.21 = $14.87

Now let's subtract the total cost of the game and batteries from $20:$20 - $14.87 = $5.13

This means that Maria should get $5.13 in change. The answer is not an estimate because it is an exact amount.

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The number of fliers that she has still not broadcasted will be 48 fliers.

Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,

⇒ (1 - 1/5) x 90

⇒ (4/5) x 90

⇒ 72 fliers

This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,

⇒ (1 - 1/3) x 72

⇒ (2/3) x 72

⇒ 48 fliers

The number of fliers that she has still not broadcasted will be 48 fliers.

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Answer:

The answer is x=2 and y=0.

Step-by-step explanation:

The given Equations are:

                    5x-2y=10      ----------------- (i)
                    4y+20=10x   ----------------- (ii)

From equation find the value of x, that is:

         5x=10+2y         (Obtained By adding 2y on both side of Equation (i))

Next divide with 5 on both side to get x:

          x=(10+2y)/5           ------------------ (iii)

Put this value of x in equation (ii):

        4y+20=10((10+2y)/5)

Simplifying the above equation:

         4y+20=2(10+2y)

         4y+20=20+4y

From the above equation the solution of y is not possible.

We can make it 0. So,
         y=0

Put this value of y in equation (iii), to get value of x:

        x=(10+2(0))/5

        x=(10+0)/5

        x=10/5

        x=2

Inverse Laplace transform finds the original function from its Laplace transform. Therefore:

(a) Inverse Laplace transform: \(e^{-t}(2 - e^t)\)

(b) Inverse Laplace transform: (t³)/3 + t

(c) Inverse Laplace transform: \(\frac{e^{-2t}(4 - e^{-2t})}{2}\)

(d) Inverse Laplace transform: \(\frac{e^{-3t}}{4}\sin(t)\)

(e) Inverse Laplace transform: s² + 3s + 2

These inverse Laplace transforms were derived using the Laplace transform table and properties.

The inverse Laplace transforms of the given functions:

(a)

\(\mathcal{L}^{-1} \left[ \frac{(s + 2)(s + 3)}{s + 1} \right] = e^{-t} (2 - e^t)\)

(b)

\(\mathcal{L}^{-1} \left[ \frac{s^3 + 1}{s} \right] = \frac{t^3}{3} + t\)

(c)

\(\mathcal{L}^{-1} \left[ \frac{(s + 2)^2 - 1}{1} \right] = \frac{e^{-2t} (4 - e^{-2t})}{2}\)

(d)

\(\mathcal{L}^{-1} \left[ \frac{e^{-3s}}{s^2 + 4s} \right] = \frac{e^{-3t}}{4} \sin t\)

(e)

\(\mathcal{L}^{-1} \left[ \frac{s^2 + 5s + 2}{s + 3} \right] = (s + 2)(s + 1) = s^2 + 3s + 2\)

I used the following Laplace transform table to find the inverse Laplace transforms:

Table of Laplace Transforms

f(t) | F(s)

------- | --------

\(e^t\) | s/(s - 1)

\(t^n\) | n!/\(s^{n + 1}\)

cos t | s/(s² + 1)

sin t | s/(s² + 1)

\(e^{-at}\) | 1/(s + a)

\(t^n e^{-at}\) | n!/\((s + a)^n\)

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c = cost

w = weekly fee

Equation:

c = 0.30m + w

The Choice C is the best answer. In lines 10-17, the passage illustrates how the cost of solar energy has dropped in recent years. researchers at the National Renewable Energy Laboratory have made flexible solar cells on a new type of glass from Corning called Willow Glass, which is thin and can be rolled up.” Overall, the passage can be regarded as an objective overview of the solar panel industry delivered by a journalist covering the field.

According to the statement

we have to find the correct statement with the help of the given passage.

So, For this purpose, we know that the

In the given passage, the point of view according to the given options is discussed below.

The Choices A and D are incorrect because the author does not present himself as either a consumer who plans to buy solar panels or a hobbyist with a personal interest in solar panel technology. Rather, the author focuses on developments in solar technology. Choice B is incorrect because the passage does not discuss research methods used in the solar panel field but rather the technologies that exist in the field.

So, The Choice C is the best answer. In lines 10-17, the passage illustrates how the cost of solar energy has dropped in recent years. researchers at the National Renewable Energy Laboratory have made flexible solar cells on a new type of glass from Corning called Willow Glass, which is thin and can be rolled up.” Overall, the passage can be regarded as an objective overview of the solar panel industry delivered by a journalist covering the field.

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Answer:

469.875

Step-by-step explanation:

Just multiply 3.5 by 125.3

Answer:

Step-by-step explanation:

Answer:

6.6%

Step-by-step explanation:

Answer:

x = 26

y = 72°

Step-by-step explanation:

(4x - 16)° = (3x + 10)°

Subtract 3x to both sides

4x - 3x - 16 = 10

x - 16 = 10

Add 16 to both sides

x = 10 + 16

x = 26

(4x - 16)° + y° = 180°

4x - 16 + y = 180

4(26) - 16 + y = 180

104 - 16 + y = 180

88 + y = 180

Subtract 88 to both sides

y = 180 - 88

y = 72°

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The observer on Earth would observe the rocket to be moving at a speed of approximately 0.76 times the speed of light (c).

According to the theory of special relativity, the observed speed of an object moving relative to an observer depends on their relative velocities. In this scenario, as Spaceship 1 moves away from Earth, it fires a rocket toward Earth with a velocity of 0.30c relative to itself.

To determine the observed speed of the rocket from the perspective of an observer on Earth, we need to apply the relativistic velocity addition formula. This formula accounts for the relativistic effects of time dilation and length contraction.

The relativistic velocity addition formula is:

v_observed = (v1 + v2) / (1 + (v1*v2)/c^2)

In this case, v1 represents the velocity of Spaceship 1 relative to Earth (which is the speed at which it is moving away from Earth), and v2 represents the velocity of the rocket relative to Spaceship 1.

Let's assume Spaceship 1 is moving away from Earth at a speed of v1 = 0.60c (where c is the speed of light) and the rocket is moving with a velocity of v2 = 0.30c relative to Spaceship 1.

Using the formula, we can calculate the observed speed of the rocket from Earth's perspective:

v_observed = (0.60c + 0.30c) / (1 + (0.60c*0.30c)/c^2)

v_observed = 0.90c / (1 + (0.18c^2)/c^2)

v_observed = 0.90c / (1 + 0.18)

v_observed = 0.90c / 1.18

v_observed ≈ 0.76c

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Addition, subtraction, multiplication, and division are the four fundamental arithmetic operations that represent algebraic operations on complex numbers.

Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The principles of algebra taught us how to express an unknown value using letters like x, y, and z. These letters are referred to here as variables. Constants and variables can both be used in an algebraic expression.

Any amount that is added before a variable and then multiplied by it is referred to as a coefficient.

4x + 3y - 8 , x - 4, and so forth.

These expressions are represented by variables, constants, and coefficients that are unknown. The combination of these three words is referred to as an expression. It should be noted that, in contrast to an algebraic equation, an algebraic expression lacks sides and the equal sign.

In mathematics, addition, subtraction, multiplication, and division are the four fundamental arithmetic operations that represent algebraic operations on complex numbers.

According to the given information

Addition, subtraction, multiplication, and division are the four fundamental arithmetic operations that represent algebraic operations on complex numbers.

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Answer: x = -19

Step-by-step explanation:

-4(x + 1) - 3 = - 3(x - 4). original equation

-4x -4 -3 = -3x + 12 distributed terms into the parentheses

-4x -7 = -3x + 12 added together terms (simplified terms)

-4x = -3x + 19 added term to the other side of the equation

-1x = 19 added term to the other side of the equation again

x = -19 divided by negative one

Step-by-step explanation:

x = the number

.60 x = 492                          .60 is 60% in decimal

then   x = 492 / .6        and we want 75% of this number  ( .75 )

 .75 x   = .75 *  492/.6   = 615

Answer:

874.6

Step-by-step explanation:

total sales = 1045

1045 * .12 = 125.4

fuel = 9 * 5 = 45

1045 - 125.4 - 45 = 874.6

Null and alternative hypothesis are statements about the sample statistics.

The null hypothesis of both a test typically forecasts no effect or no association between variables, even while the alternative hypothesis expresses their research's prediction of an effect or relationship.

Because Student's t distribution will be less leptokurtic as both degrees of freedom increase, the likelihood of extreme values decreases. Gradually, the distribution resembles a standard normal distribution.

The two primary forms of probability distributions are discrete probability distributions and continuous probability distributions. Each category includes a variety of probability distribution types.

The average relative frequency over all potential trials is known as probability.

For instance, the probability of a coin falling on heads is such that if you flip a coin an infinite number of times, it will land on heads 50% of the time.

Hence we can say that the Null and alternative hypothesis are statements about the sample statistics.

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12. MATLAB code: `f = (-3*t.^2 + 5*t + 20).*(t < 0) + (3*t.^2 + 5*t).*(t >= 0)`

13. MATLAB function: `function random_values = UniGen(n, a, b); random_values = (b - a) * rand(n, 1) + a; end`

MATLAB code to calculate f(t) using the given equation:

t = -9:0.5:9; % Generate values of t from -9 to 9 in steps of 0.5

f = zeros(size(t)); % Initialize f(t) vector

for i = 1:numel(t)

   if t(i) < 0

       f(i) = -3*t(i)^2 + 5*t(i) + 20;

   else

       f(i) = 3*t(i)^2 + 5*t(i);

   end

end

% Display the results

disp('t    f(t)');

disp('--------');

disp([t' f']);

```

This code generates values of `t` from -9 to 9 in steps of 0.5 and calculates `f(t)` based on the given equation. The results are displayed in a tabular format showing the corresponding values of `t` and `f(t)`.

13. MATLAB function UniGen to generate uniformly distributed random values:

function random_values = UniGen(n, a, b)

   % n: Number of random values to generate

   % a: Start of the interval

   % b: End of the interval

   random_values = (b - a) * rand(n, 1) + a;

end

This MATLAB function named `UniGen` generates `n` random values that are uniformly distributed on the interval `[a, b]`. It utilizes the `rand` function to generate random values between 0 and 1, which are then scaled and shifted to fit within the specified interval `[a, b]`. The generated random values are returned as a column vector.

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The actual perimeter of the swimming pool is 450 feet.

Given,

The scale drawing measurements;

Length of the pool = 3 inches

Width of the pool = 1.5 inches

Perimeter of the pool = 2(l + w) = 2(3 + 1.5) = 2 x 4.5 = 9 inches

Actual measurements;

Width of the pool = 75 feet

1 feet = 12 inches

So,

75 feet = 75 x 12 = 900 inches

We have to find the actual perimeter of the swimming pool.

Perimeter of the pool = x

Lets take the ratio;

900 ; 1.5 = x ; 9

900/1.5 = x/9

x = (900 x 9) / 1.5 = 8100/1.5 = 5400 inches

5400 inches = 5400/12 = 450 feet.

That is,

The actual perimeter of the swimming pool is 450 feet.

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The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

⇒ lim θ → 0 ( sin θ / θ ) = 1

Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.

⇒ lim θ → 0 ( sin θ / θ ) = 1

Take LHS;

⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )

⇒ lim θ → 0 ( cos θ / 1 )

⇒ ( cos 0 )

⇒ 1

⇒ RHS

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