PLEASE HELP DESPERATE
The average cost of producing a security system based on the total number of systems produced, x, is represented by the following function.
f(x)=400+20000/x
The mathematical range is all real numbers excluding 0, but the reasonable range is limited to y > __

Answer:

Step-by-step explanation:

2(L+B)

Where L is the length and B is the breadth.

The value of the given integral expression \(\[ \int (x^4 - x^2 + 2e^x) \, dx - \int (x^5 - 2x^2e^x) \, dx \]\) is:\(\[\frac{x^5}{5} - \frac{x^3}{3} + 2e^x - \frac{x^6}{6} + 2e^x(x^2 - 2x + 2) + C.\]\)

To solve the given integral expression, we will evaluate each integral separately and then subtract the results.

Integral 1 can be evaluated as follows:

\(\(\int (x^4 - x^2 + 2e^x) \, dx\)\)

To find the antiderivative of each term, we apply the power rule and the rule for integrating \(\(e^x\)\):

\(\(\int x^4 \, dx = \frac{x^5}{5} + C_1\)\\\(\int -x^2 \, dx = -\frac{x^3}{3} + C_2\)\\\(\int 2e^x \, dx = 2e^x + C_3\)\)

Therefore, the result of the first integral is:

\(\(\int (x^4 - x^2 + 2e^x) \, dx = \frac{x^5}{5} - \frac{x^3}{3} + 2e^x + C_1\)\)

Integral 2 can be evaluated as follows:

\(\(\int (x^5 - 2x^2e^x) \, dx\)\)

Using the power rule and the rule for integrating \(\(e^x\)\), we have:

\(\(\int x^5 \, dx = \frac{x^6}{6} + C_4\)\\\(\int -2x^2e^x \, dx = -2e^x(x^2 - 2x + 2) + C_5\)\)

Thus, the result of the second integral is:

\(\(\int (x^5 - 2x^2e^x) \, dx = \frac{x^6}{6} - 2e^x(x^2 - 2x + 2) + C_5\)\)

Now, we can subtract the second integral from the first to get the final value:

\(\[\int (x^4 - x^2 + 2e^x) \, dx - \int (x^5 - 2x^2e^x) \, dx = \left(\frac{x^5}{5} - \frac{x^3}{3} + 2e^x + C_1\right) - \left(\frac{x^6}{6} - 2e^x(x^2 - 2x + 2) + C_5\right)\]\)

Simplifying this expression further will depend on the specific limits of integration, if any, or if the problem requires a definite integral.

The complete question is:

"Find \(\[ \int (x^4 - x^2 + 2e^x) \, dx - \int (x^5 - 2x^2e^x) \, dx \]\)."

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In a four-candidate race with 107 votes cast, the smallest number of votes a winning candidate can have is 28.

In a four-candidate race decided by plurality, the winning candidate is the one who receives the most votes, regardless of whether that number of votes constitutes a majority (more than 50%) of the total votes cast.

To determine the smallest number of votes a winning candidate can have in a four-candidate race with 107 votes cast, we can assume that the other three candidates each receive an equal number of votes, say x. Then, the winning candidate must receive more votes than each of the other three candidates.

So, the minimum number of votes the winning candidate can receive is x + 1.

The total number of votes cast in the election is:

x + x + x + (x + 1) = 4x + 1

Since we know that 4x + 1 = 107, we can solve for x:

4x + 1 = 107

4x = 106

x = 26.5

Since x must be a whole number, we can round up to x = 27.

Then, the minimum number of votes the winning candidate can have is:

27 + 1 = 28

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1024

Step-by-step explanation:

1^0+8*1^2*4^2

0+64*16

1024

Step-by-step explanation:

The one point where the lines intersect is one solution. If both points are on the same line it is one solution. If the lines do not intersect it is no solution.

The least common denominator (LCD) of the equation 1/2x + 2/x = x/2 is equal to 2x

The least common denominator (LCD) is a term commonly used in fractions. It refers to the smallest multiple that two or more denominators have in common.

Given the fractions of the equation:

1/2x + 2/x = x/2

The denominators of these fractions are 2x, x, and 2 respectively.

The multiples of 2x are: 2x, 4x, 6x,...

The multiples of x are: x, 2x, 6x,...

The multiples of 2 are: 2, 4, 6,...

The smallest multiple they have in common is 2x.

Therefore, the least common denominator (LCD) of the equation 1/2x + 2/x = x/2 is equal to 2x

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A certain federal agency employs three consulting firms (A, B, and C) with probabilities of 0.40, 0.35, and 0.25, respectively. From past experience, it is known that the probability of cost overruns for the firms is 0.05, 0.03, and 0.15, respectively.

P(A) =0.40

P(B) =0.35

P(C ) =0.25

O = cost over run

P(O/A)=0.05

P(O/B)=0.03

P(O/C)=0.15

Baye’s theorem was used.

An a. What is the probability that this federal agency experiences a cost overrun?

P(O) = P(O/A)* P(A) + P(O/B)* P(B) + P(O/C)* P(C )

=0.05*0.40+0.03*0.35+0.15*0.25

=0.068

b. Suppose a cost overrun is experienced by the agency. What is the probability that the consulting firm involved is company C?

P(C/O) = P(O/C)* P(C ) / P(O)

=0.15*0.25 / 0.068

=0.551471

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty.

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Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

Answer:

2=150f

Step-by-step explanation:

khan said so

Given a system with Hamiltonian H^ = 2μp^2 + V^(x^, y^, z^) and eigenstates ∣n⟩ with energies En​ (n = 1, 2, ..., N), it can be shown that the sum ∑n​(En​−Em​)∣xnm​∣^2 equals 2μℏ^2.  

Start by using the identity x^2H^−2x^H^x^+H^x^2 = [x^, [x^, H^]], where [x^, y^] denotes the commutator of operators x^ and y^. Applying this identity, we have:

x^2H^−2x^H^x^+H^x^2 = [x^, [x^, H^]]

Next, we evaluate the commutator [x^, H^] using the basic commutation relations [x^, p^] = iℏ and [p^, x^] = −iℏ:

[x^, H^] = [x^, 2μp^2 + V^(x^, y^, z^)]

= 2μ[x^, p^2]

= 2μ(x^p^2 − p^2x^)

= 2μ(x^p^2 − 2iℏp^)

Now, we take the expectation value of both sides in state ∣m⟩:

⟨m∣x^2H^−2x^H^x^+H^x^2∣m⟩ = 2μ⟨m∣x^p^2 − 2iℏp^∣m⟩

Expanding the expectation values, we have:

∑n​(En​−Em​)∣xnm​∣^2 = 2μℏ^2

Therefore, the sum ∑n​(En​−Em​)∣xnm​∣^2 is equal to 2μℏ^2, as desired.

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The company will owe $2717.81 on the date of maturity.

What is simple interest?

The Simple Interest (S.I.) formula is a way to figure out how much interest will accrue on a given principal sum of money.

To solve this problem, we need to use the simple interest formula:

Interest = Principal x Rate x Time

where:

Principal = the amount of the loan

Rate = the interest rate

Time = the time period in years

First, we need to calculate the interest on the loan for the full 180-day period. We can do this using the formula above:

Interest = $6500 x 0.1 x (180/365) = $317.81

Next, we need to subtract the payments that the company has already made from the original loan amount:

$6500 - $1750 - $2350 = $2400

Now we can calculate how much the company still owes on the loan:

$2400 + $317.81 = $2717.81

Therefore, the company will owe $2717.81 on the date of maturity.

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Answer:

A

Step-by-step explanation:

For A, the gas price is constant and will go up the same amount for each gallon bought.

Hope that helps! :D

given the information on the problem, we can draw the following diagram:

then, we can use the cosine function to find the distance from the stake to the foot of the post:

therefore, the distance is 19.4 m

Okay so Jack started with 50 chocolates, and ended with 2.

The simple way to calculate it would be by realizing that Jack only distributed 48 chocolates. We can find how many times 3 fits into 48 by dividing \(48\div3=16\).

Using algebra, we substitute the value we want to find with \(x\). Here what we want to find is the number of friends that were at Jack's party.

We know that he started with 50 chocolates, then distributed \(3\times\) the number of friends present (which is \(x\)).

We write that down as \(50-3x\)

(It's minus because when chocolates are distributed, Jack is taking away from what he has.)

We know that after this, there were only 2 chocolates left, so it's

\(\underline{\bold{50-3x=2}}\)

Then we proceed by moving all the numbers to the right until only \(x\) is left:

\(-3x=2-50\)

\(-3x=-48\)

\(x=\dfrac{-48}{-3}\)

\(\boxed{\bold{x=16}}\)

Conclusion: The number of people that attended the party was 16.

The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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Answer:

when giving a rate you need to get a unit rate which is a fraction with a 1 on top then you would divide by the same number as the number if you have 6/6 then divide by 6

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

The Cost price is = 49.31

The Selling price is = 41.91

The profit is =-7.4

The percentage decrease of the price of the shirt is hence=

=41.31/49.31 * 100

= 8%

Hence, 8% is the percentage of the decrease of the price of the shirt.

0.168 is the probability that exactly 1 of the 4 players has exactly one ace and one king.

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

a)

Given that,

each player gets 13 cards.

So, n = total no. of ways = ⁵²C₁₃ = 6.350× 10¹¹

As we know, there are 2 black aces and 4 kings in a deck of 52 cards. Since, one black ace out of 2 black aces can be chosen in ²C₁ ways, next one king out of 4 kings in ⁴C₁ ways and the remaining 11 cards from the remaining 46 cards in ⁴⁶C₁₁ ways.

So, m = ²C₁ × ⁴C₁ × ⁴⁶C₁₁

m = 1.067 × 10¹¹

Therefore, Required probability p =  m/n

p = (1.067 × 10¹¹) / (6.350× 10¹¹)

p = 0.168

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Answer: 125

Step-by-step explanation:

\(0^{3} = 0 \\1^{3} = 1\\2^{3} = 8\\3^{3} = 27\\4^{3} = 64\\5^{3} = 25 * 5 = 125\)

Answer:

125

Step-by-step explanation:

Because 5×5×5=125

if it has 3 exponents then you multiply 3 times

Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:

What is Linear Inequality?

In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

Solution:

Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:

1. Consider the issue carefully and note what you are looking for. You can use this to decide which variables to include in your equations.

2. The equations that describe the issue should be written down. This could entail writing expressions that relate the variables or utilizing formulas.

3. Use algebraic strategies to solve the equations, such as grouping like terms, multiplying or dividing both sides of the equation by a constant, or focusing only on one side of the problem's variables.

4. Verify your answers to make sure they make sense in light of the issue at hand.

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Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:

In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

According to question:

Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:

1. Consider the issue carefully and note what you are looking for. You can use this to decide which variables to include in your equations.

2. The equations that describe the issue should be written down. This could entail writing expressions that relate the variables or utilizing formulas.

3. Use algebraic strategies to solve the equations, such as grouping like terms, multiplying or dividing both sides of the equation by a constant, or focusing only on one side of the problem's variables.

4. Verify your answers to make sure they make sense in light of the issue at hand.

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Regular hexagon is a closed shape polygon having six equal sides and six equal angles.

A regular hexagon is defined as a closed 2D shape made up of six equal sides and six equal angles.

Each angle of the regular hexagon measures 120 degrees.

A hexagon has six angles and the sum of all six interior angles is 720 degrees. In a regular hexagon, each interior angle measures 120 degrees.

Polygon

A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices of a polygon.

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Answer:

i dont see a answer nothing equals 90

Step-by-step explanation:

but to make 180 its

12

Answer:

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)

The Answer Letter: A

Answer:

Step-by-step explanation:

Find the area left:

Removed area

\(\\ \sf\longmapsto A=\dfrac{\theta}{360}\pi r^2\)

\(\\ \sf\longmapsto A=\dfrac{80}{360}\pi r^2\)

\(\\ \sf\longmapsto A=\dfrac{2}{9}\pi r^2\)

Left area.

\(\\ \sf\longmapsto \pi r^2-\dfrac{2}{9}\pi r^2\)

\(\\ \sf\longmapsto \pi r^2(1-2/9)\)

\(\\ \sf\longmapsto \pi r^2(7/9)\)

\(\\ \sf\longmapsto 7/9(35)^2\pi\)

\(\\ \sf\longmapsto 952.7\pi cm^2\)

Answer:

The water level decreased by 1/18 inches each hour.

Step-by-step explanation:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. Between 11 P.M. and 8:54 A.M.​, the water level in a swimming pool decreased by 11/20, for each hour it decreases by 33/554

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Given that,  Between 11 P.M. and 8:54 A.M.​, the water level in a swimming pool decreased by 11/20. Assuming that the water level decreased at a constant​ rate, we need to find the amount of water level drop each​ hour.

In an hour we will have sixty minutes.

We need to calculate the number of minutes between 11 pm and 8: 54 am.

The minutes between 11 P.M. and 8:54 A.M. is 594 minutes.

So in 554 min water level drop is 11/20.

So in 1 min=11/20×1/554

So in 60 min

We need to multiply with sixty

= 60(11/20×1/554)

We need to solve 60(11/20×1/554), we get

=3(11/554)

3 times of eleven  by five hundred fifty four.

=33/554

Hence 33/554  water level drop each​ hour when water level decreased at a constant​ rate.

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The quarter spinner represents the theoretical likelihood that you would correctly predict each question's response   1/256

What is probability ?

A probability is only valid between 0 and 1, and it can also be stated as a percentage. A popular approach to describe the likelihood that AAA will occur is P(A)P(A)P, left parenthesis, A, right parenthesis. If P(A) > P(B)P(A) > P(B)P(A) > P(B)P(A) > P(B)P(A)> P(B)P(A)> P(B)P(A)> P(B)P(A)> P(B)P(A)> P(B)P, left parenthesis, A, right parenthesis, is greater than P, left parenthesis, B, right parenthesis.

given

the likelihood that at least three questions must be answered correctly in order to pass the test is 4 * 4 * 4 * 4 = 256.

at least three inquiries = 1,

thus that's 1/256

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Answer:

quartered spinner

4

1/256

Step-by-step explanation:

The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

To find the economic order quantity (EOQ), we can use the following formula:

EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)

Given information:

Annual Demand = 3,000 units

Fixed Ordering Cost = $30

Carrying Cost per Unit = $1.43

Substituting the values into the formula:

EOQ = sqrt((2 * 3,000 * 30) / 1.43)

EOQ = sqrt(180,000 / 1.43)

EOQ = sqrt(125,874.125)

EOQ ≈ 354.91

Rounding the EOQ to the nearest whole number, we get:

EOQ ≈ 355 units

Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

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We can add the remaining terms of the polynomial: f(x) = 8(x+2) + 2(x+2)(x+1) - 4(x+2)(x+1)(x-1) - 1(x+2)(x+1)(x-1)(x-3) + 0.0416667(x+2)(x+1)(x-1)(x-3)(x-4.9). This is the polynomial of lowest degree (4) that passes through the given points.

To use Newton's divided differences to find the polynomial of lowest degree that passes through the given points, we first need to construct a divided difference table. The table will show the differences between the y-values of the given points, and then the differences between those differences, and so on until we have a single value.

Here is the divided difference table:

|-2 -9  |   -1 -1   |  1 -9  |   3 -9  |  4.9
---------------------------------------
|-9     |   8       | -16     |   0     |
|       |-0.5      |  2      |         |
|       | 0.25     |         |         |
|       |-0.125    |         |         |
|       | 0.0416667|         |         |

The first column lists the x-values of the given points, and the second column lists the corresponding y-values. The remaining columns show the divided differences. For example, the entry in row 2, column 2 (-0.5) is the divided difference between the y-values -9 and -1.

Now we can use the divided differences to construct the polynomial of lowest degree that passes through the points. We start with the first divided difference in the second column, which is 8. This gives us the linear term of the polynomial:

f(x) = 8(x+2) + ...

Next, we use the second divided difference in the third column, which is 2. This gives us the quadratic term of the polynomial:

f(x) = 8(x+2) + 2(x+2)(x+1) + ...

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Answer:

3/5 of the crayons are not broken since 2 are broken

The fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be \(\dfrac{a}{b}\)

Then, we can interpret it as:

\(\dfrac{a}{b}\)    is "a" parts out of "b" parts of a thing.

Here, we're specified that:

Then we get:

Number of crayons that aren't broken = total crayons - number of broken crayons = 5 - 2 = 3

Thus, 3 out of 5 crayons are not broken.

Using fraction, we write it as:
\(\dfrac{3}{5}\)

We pronounce it as "three-fifth of total crayons are not broken".

Thus, the fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5

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The interger is closest to 20 is 19 or 21