Rearrange 4x+2y=8 to make y the subject.

Solution :

It is given that the manager hires a labor and he rents the capital equipment \(\text{in a very competitive market}\).

Presently the rate of the wage is at $ 10 per hour and the capital is been rented at $ 0.25. If the \(\text{marginal product}\) of the labor is 50 units of the output per hour and the marginal.

Therefore, the answer is

14 + 10 = 24

Answer:

The difference of a number and 4:

The cube of the difference:

Leaving this as is since no simplification is required.

Step-by-step explanation:

\(here \: number = x \\ difrence \: of \: number \: and \: 4 \\then \: its \: x - 4 \\ cube \: of \: this = {(x - 4)}^{3} \\ thank \: you\)

The x and y components of the total force exerted on this charge by the other two charges are 3.72 × 10⁻⁶ N and 8.87 × 10⁻⁶ N respectively. The magnitude of this force is 9.64 × 10⁻⁶ N. The direction of this force is 66.02° below the +x-axis.

The formula to calculate electric force is:

Electric force = (k*q1*q2)/r²

Where,k = Coulomb's constant = 9 × 10⁹ Nm²/C²

q1, q2 = Charges in Coulombs

r = Distance in meters

(a) The third charge q3 at (3.10, 3.95) experiences the force from q1 and q2.

Let's calculate the distance of q3 from q1 and q2.

Distance from q1 to q3 is = sqrt( (3.10-0)² + (3.95-0)² ) = 4.38 cm = 0.0438 m

Distance from q2 to q3 is = sqrt( (3.10-0)² + (3.95-3.95)² ) = 3.10 cm = 0.0310 m

Magnitude of electric force due to q1 = k*q1*q3/r1²Here, q1 = -3.20 nC and q3 = 5.00 nC

Thus, the electric force due to q1 = (9 × 10⁹) * (-3.20 × 10⁻⁹) * (5.00 × 10⁻⁹) / (0.0438)² = - 9.38 × 10⁻⁶ N ….. (i)

Here, r1 is the distance from q1 to q3.

Distance from q2 to q3 is = 3.10 cm = 0.0310 m.

Magnitude of electric force due to q2 = k*q2*q3/r2²Here, q2 = 1.60 nC and q3 = 5.00 nC

Thus, the electric force due to q2 = (9 × 10⁹) * (1.60 × 10⁻⁹) * (5.00 × 10⁻⁹) / (0.0310)² = 8.87 × 10⁻⁶ N ….. (ii)

Here, r2 is the distance from q2 to q3.

Total force in the x direction on q3 is: Fx = F1x + F2xFx = -F1 cos(θ1) + F2 cos(θ2)

Here, θ1 is the angle between r1 and the x-axis and θ2 is the angle between r2 and the x-axis

Let's calculate the angle θ1

tanθ1 = (3.95 - 0) / 3.10θ1 = tan⁻¹(3.95/3.10) = 51.04°

And the angle θ2

tanθ2 = (3.95 - 0) / 0θ2 = 90°

Now, the force in the x direction on q3:

Fx = - F1 cos(θ1) + F2 cos(θ2) = -(-9.38 × 10⁻⁶) cos(51.04) + 8.87 × 10⁻⁶ cos(90°) = 3.72 × 10⁻⁶ N

Total force in the y direction on q3: Fy = F1y + F2yFy = -F1 sin(θ1) + F2 sin(θ2)

Here, θ1 is the angle between r1 and the y-axis and θ2 is the angle between r2 and the y-axis. Let's calculate the angle θ1

tanθ1 = 0 / 3.10θ1 = tan⁻¹(0/3.10) = 0°

And the angle θ2

tanθ2 = 0 / 0θ2 = 90°

Now, the force in the y direction on q3:

Fy = - F1 sin(θ1) + F2 sin(θ2) = -(-9.38 × 10⁻⁶) sin(0°) + 8.87 × 10⁻⁶ sin(90°) = 8.87 × 10⁻⁶ N

Thus, the x and y components of the total force exerted on this charge by the other two charges are 3.72 × 10⁻⁶ N and 8.87 × 10⁻⁶ N respectively.

(b) The magnitude of this force = √(Fx² + Fy²) = √[(3.72 × 10⁻⁶)² + (8.87 × 10⁻⁶)²] = 9.64 × 10⁻⁶ N

The magnitude of this force is 9.64 × 10⁻⁶ N.

(c) Calculation of the direction of this force.

θ = tan⁻¹(Fy/Fx)θ = tan⁻¹(8.87 × 10⁻⁶ / 3.72 × 10⁻⁶) = 66.02°

The direction of this force is 66.02° below the +x-axis.

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The expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

The expected probability of a head coming up next given the results of the 25 coin flips is 15/25 = 0.6.

This is due to the fact that 15 of the 25 flips were heads, so the probability of the next head is 15 out of the 25 total flips which is equal to 0.6 or 60%.

However, since the probability of heads (m) is unknown, the expected probability of a head coming up next is still unknown.

Therefore, the expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

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Answer:

Yes, the ratio of friends who chose blue to the total asked is equivalent to the ratio of friends who chose green to the total asked.

Step-by-step explanation:

This can be determined as follows:

For Alex, we have:

Number of people who prefer blue = 4

The total asked = 6

Therefore, the ratio of friends who chose blue to the total asked can be calculated as follows:

Ratio of friends who chose blue to the total asked = Number of people who prefer blue / The total asked = 4 / 6 = 0.67

For Jordan, we have:

Number of people who prefer green = 8

The total asked = 12

Therefore, the ratio of friends who chose green to the total asked can be calculated as follows:

Ratio of friends who chose green to the total asked = Number of people who prefer green / The total asked = 8 / 12 = 0.67

Conclusion

From the calculations above, we have:

Ratio of friends who chose blue to the total asked = Ratio of friends who chose green to the total asked = 0.67

Since the ratio of friends who chose blue to the total asked is equal to the ratio of friends who chose green to the total asked is equal to 0.67, it therefore implies that the ratio of friends who chose blue to the total asked is equivalent to the ratio of friends who chose green to the total asked.

Answer:

We can rewrite the line in slope-intercept form (i.e., y = mx + b), where m is the slope/gradient and b is the y-intercept.

Thus, we need to isolate y in the equation we're given:

\(2x+3y+4=10\\2x+3y=6\\3y=-2x+6\\y=-2/3x+2\)

Thus, the gradient is -2/3 and the y-intercept is 2.  As a point, the y-intercept is (0, 2)

If you're teacher requires you to have another way to find the intercept, you can remember that at the y-intercept, x =0.  Thus, you can find the y-intercept with the original equation by simply plugging in 0 for x and solving for y:

\(2(0)+3y+4=10\\3y+4=10\\3y=6\\y=2\)

Answer: Please see explanation column for answer.

x= -36

Step-by-step explanation:

Step 1

from the attachment, Mai's solving is given as

1/3 (1/2x- 9) = 1/2 (x+18)

1/6x-3= 1/2x+9

1/4x-3=9

1/4x=12

x=48

Mai's error started when he subtracted wrongly 1/2 x from 1/6x which gave him 1/4 x instead of - 1/3 x.

Solving correctly, we have that

1/3(1/2x-9) = 1/2(x+18)

1/6x -3= 1/2x+ 9

taking like terms to like terms

1/6x-1/2x= 9+3

(1-3)/6x= 12

-2/6x= 12

-1/3x= 12

multiplying both sides by -3

-1/3x X -3 = 12 X -3

x= -36

Answer:

It is measuring the Buoyant Force.

Step-by-step explanation:

A spring scale shows the water-filled bottle to weigh approximately 6N in air, and nearly 0N (Zero N) when it is fully submerged in a large container of water. Since gravity is still acting on the bottle when it is submerged in the water, there must be a force of 6N pushing up on it. This is the buoyant force.

Answer:

Mira con el gran boludin que me vengo a encontrar ahora, ya me pasaron 3 iguales a vos y a todos les rspondi y entendieron que al menos tienen que usar el 80% de su cerebro para resolver un problema que te lo resuelve un nene con sindrome de asperger en 7 segundos, así queres que te expliquemos algo nene desnutrido

Answer: you know now that i think about it not really

Step-by-step explanation:

Answer:

I think that is complete bs anyone can wear any mask and look thinner but the most important part is wearing a mask and having the mask fit comfortably around your face.

Step-by-step explanation:

Please wear a mask in public!!

By the Direct Comparison Test, the given series ∑(1/n!) from n=0 to infinity also converges.

To use the direct comparison test to determine the convergence or divergence of the series [infinity] 1/n!, n=0, we need to find a series that we know converges or diverges and is greater than or equal to our series.

Since 1/n! is always positive, we can compare it to the series [infinity] 1/2^n, n=0, which we know converges (by the geometric series test).

Using the fact that n! > 2^n for all n > 3, we have:

1/n! < 1/2^n for n > 3

Therefore, we can conclude that the series [infinity] 1/n!, n=0, converges by direct comparison to the convergent series [infinity] 1/2^n, n=0.

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Answer:

53 shares

Step-by-step explanation:

Calculation for how many SHARES did he then own

Using this formula

Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]

Let plug in the formula

Numbers of shares= [(.06 x 50 shares)+50 shares]

Numbers of shares= 3 + 50 shares

Numbers of shares = 53 shares

Therefore How many shares did he then own is 53 shares

Answer:

So your answer for X all of them equals 2

Answer: |-2|, |3| |4|, |-7|

Step-by-step explanation:

Very simple question: an absolute basically means you replace the sign with a positive one.

So |-7| = 7, |4| = 4, |-2| = 2, |3| = 3

The function f(x - 5/3) is translated 5/3 units right and the function f(x) - 5/3 is translated 5/3 units down.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over the y-axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A function f(x) is transformed to f(x - 5/3) this results in f(x) is translated 5/3 units to the right along the x-axis.

And, The transformation f(x) - 5/3 is translated 5/3 units down along the y-axis.

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Assuming you have access to the standard deviation (σk), you can substitute its value into the equation along with the given Z-score and desired width to determine the minimum required sample size (k) that guarantees the desired probability.

To determine the number of samples required, we can utilize the properties of the Gaussian distribution and the concept of confidence intervals. Given that mk(x) follows a Gaussian distribution, we can express it as:

mk(x) ~ N(μk, σk^2)

where μk represents the mean and σk^2 represents the variance of the distribution.

To ensure that mk(x) falls between 67 and 73 with a probability of 0.925, we need to find the appropriate confidence interval.

The Z-score corresponding to a 92.5% probability is approximately 1.96 (for a two-tailed test). The Z-score represents the number of standard deviations from the mean.

The width of the confidence interval can be calculated using the following formula:

Width = 2 * Z-score * (σk / sqrt(k))

Here, k represents the number of samples.

Since the Z-score and desired width are given, we can rearrange the formula to solve for k:

k = (2 * Z-score * σk / Width)^2

Plugging in the values, we have:

k = (2 * 1.96 * σk / (73 - 67))^2

Now, it's worth noting that the value of σk (the variance) is not provided in the question. Consequently, without knowing the specific distribution parameters or further details about the data, we cannot calculate an exact value for k.

However, assuming you have access to the standard deviation (σk), you can substitute its value into the equation along with the given Z-score and desired width to determine the minimum required sample size (k) that guarantees the desired probability.

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When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

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Based on the simple interest rate of the two banks, Evans should bank with Joyner Bank.

The simple interest rates can be found using the formula:

where;

a) For Ross Bank: $700 principal yields interest of $30 after 2 years

b) For Joyner Bank: $1000 principal yields interest of $46 after 2 years

Solving for the interest rate for Ross Bank:

Rate = 30 * 100 /(700 * 2)

Rate = 2.14%

Solving for the interest rate for Joyner Bank:

Rate = 46 * 100 /(1000 * 2)

Rate = 2.3%

Therefore, Evans should bank with Joyner Bank

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Answer:

A.

Step-by-step explanation:

For every ride you, pay an extra 50 cents with a 10 dollars for admission

i think its C becuase it goes perfectly

Answer:

Add 6 to both sides.

Step-by-step explanation:

Remember you are trying to isolate the variable

Answer:

x = undefined

Step-by-step explanation:

Because you have an x and then remove the x the it is not pssible to tell what x was with the given information causing it to be undefined.

Answer:

4,234 dekaliters converted to milliliters is 42340000.

Step-by-step explanation:

Answer: Your answer is going to be 42340000 millimeters.

Step-by-step explanation:

Find out how much one dekaliter is worth; multiply by that amount.

Answer:

2

Step-by-step explanation:

5x - 10 = 0

    +10    +10

5x = 10

/5     /5

x = 2

Answer:

x=2

you divide 10 by 5=10/5=2

Step-by-step explanation:

Answer:

91 degrees

Step-by-step explanation:

Angle RT = 46 degrees

Angle RU = 180 degrees

Angle RS = 89 degrees

So 46 + 89 = 135

180 - 135 = 45

So Angle UT = 45 degrees

Which means that Angle QR = 45 degrees also because they are vertical from each other

So you add 45 + 46 = 91

Angle TQS = 91 degrees

The solution to the polynomial is x = -1, x = 1/2 and x = -1

From the question, we have the following parameters that can be used in our computation:

2x³ - x² - 2x + 1

Expand

2x³ - x² - 2x + 1 = 2x³ - x² - 2x + 1

Factorize the expression

This gives

2x³ - x² - 2x + 1 = x²(2x - 1) - 1(2x - 1)

Factor out 2x - 1

2x³ - x² - 2x + 1 = (x² - 1)(2x - 1)

Express x² - 1 as difference of two squares

2x³ - x² - 2x + 1 = (x - 1)(x + 1)(2x - 1)

So, we have

(x - 1)(x + 1)(2x - 1) = 0

Solve for x

x = 1, x = -1 and x = 1/2

Reorder the solutions

x = -1, x = 1/2 and x = -1

Hence, the solution is x = -1, x = 1/2 and x = -1

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Answer:

1.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

its the same number

an exponent is Multipulcation

anything times one is that number

Answer:

Therefore m angle 2 is 86°.

Step-by-step explanation:

Given:

m∠ 1 = 17x + 1

m∠ 2 = 20x - 14

To Find:

m∠ 2   =?

Solution:Vertical Angles:  

The angles opposite each other when two lines cross. They are always equal.

∴ m∠ 1 = m∠ 2  

Substituting the given values we get

Now for m∠ 2  

Therefore m angle 2 is 86°.

Answer:

"490 grams" would be the correct solution.

Step-by-step explanation:

The given values are:

Half time,

T = 35 days

Total time,

t = 105 days

As we know,

⇒ \(A=A_o(\frac{1}{2} )^{\frac{t}{T} }\)

On substituting the values, we get

⇒     \(=3920\times (\frac{1}{2})^{\frac{105}{35} }\)

⇒     \(=3920\times (0.5)^3\)

⇒     \(=3920\times 0.125\)

⇒     \(=490 \ grams\)

The exponent or power that must be added to a base to produce a particular number is called the logarithm.

Indicated by the letter log n, the later class of logarithms, those with base 10, are referred to as common or Briggsian logarithms.

Logarithms, which were developed in the 17th century to expedite calculations, significantly decreased the amount of time needed to multiply integers with numerous digits. For more than 300 years, they served as the foundation for numerical labor, but the development of mechanical adding machines in the late 19th century and computers in the 20th century made them obsolete for large-scale calculations.

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