What is the value of 0

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

D

Step-by-step explanation:

Plz mark brainliest

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.

a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).

(i) The free-body diagram of the car is as shown below;

(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.

Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.

Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.

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Answer:

x=30

Step-by-step explanation:

180-55=125

5x-25=125

125+25=150

5x=150

5/150=30

x=30

Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

The separation between the plates of the capacitor is approximately 15.5 mm.

To find the separation (d) between the plates, we can use the formula for the capacitance of a parallel plate capacitor:

C = (ε₀ * A) / d,

where C is the capacitance, ε₀ is the permittivity of free space (approximately 8.854 x 10⁻¹² F/m), A is the area of the capacitor, and d is the separation between the plates.

A = 10.4 cm² C = 59.4 pF

First, let's convert the area from cm² to m²:

A = 10.4 cm² = 10.4 x (10⁻⁴) m² = 1.04 x 10⁻³ m²

Next, let's convert the capacitance from pF to F:

C = 59.4 pF = 59.4 x 10⁻¹² F

Now, we can rearrange the formula to solve for d:

d = (ε₀ * A) / C

Substituting the given values:

d = (8.854 x 10⁻¹² F/m) * (1.04 x 10⁻³ m²) / (59.4 x 10⁻¹² F)

Simplifying the expression:

d = (8.854 x 1.04) / 59.4 m

Calculating:

d = 0.91976 / 59.4 m

Finally, let's convert the separation from meters to millimeters:

d = 0.91976 / 59.4 m = 0.0155 m = 15.5 mm

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Answer:

B)   x = 8\(\sqrt{3}\) ;  y = 4\(\sqrt{3}\)

Step-by-step explanation:

in a 30-60-90° triangle the sides, respectively, are in the ratio of

1 : \(\sqrt{3}\) : 2

we can find 'x' by creating this proportion:

12/\(\sqrt{3}\) = x/2

cross-multiply to get:

\(\sqrt{3}\)x = 24

x = 24/\(\sqrt{3}\)

we can simplify this by 'rationalizing the denominator' which is to

multiply numerator and denominator by \(\sqrt{3}\) to get:

(24\(\sqrt{3}\))÷3, which is 8\(\sqrt{3}\)

we know that side 'y' is half that of side 'x'

therefore y = 4\(\sqrt{3}\)

Therefore, the explicit formula for the given geometric sequence is: B. an = 0.5 * (-0.2)^(n-1).

The given sequence is a geometric sequence, where each term is obtained by multiplying the previous term by a constant ratio. To find the explicit formula for this sequence, we need to determine the common ratio.

Looking at the given sequence, we can see that each term is obtained by multiplying the previous term by -0.2. Therefore, the common ratio is -0.2.

The explicit formula for a geometric sequence is given by:

aₙ = a₁ * rⁿ⁻¹

Where:

aⁿ represents the nth term of the sequence,

a₁ represents the first term of the sequence,

r represents the common ratio of the sequence,

n represents the position of the term.

Using the known values from the sequence, we have:

a₁ = 0.5 (the first term)

r = -0.2 (the common ratio)

Plugging these values into the formula, we get:

\(aₙ = 0.5 * (-0.2)^(n-1)\)

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The explicit formula for the given geometric sequence is an = 0.5(-0.2)^(n-1). The correct answer is B.

To find the explicit formula for the given geometric sequence, we observe that each term is obtained by multiplying the previous term by -0.2.

The general form of a geometric sequence is given by an = a1 * r^(n-1), where a1 is the first term and r is the common ratio.

In this case, the first term (a1) is 0.5, and the common ratio (r) is -0.2.

Plugging these values into the general formula, we get:

an = 0.5 * (-0.2)^(n-1).

Therefore, the explicit formula for the given geometric sequence is option B. an = 0.5 * (-0.2)^(n-1).

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Answer:

shading three boxes

Step-by-step explanation:

It is given that :

The body weight of an average adult = 60%

We have to show this by shading the square boxes shown.

There are 5 square boxes in total which makes up 100%.

So divide 100 by 5, we can 20% for each box.

So, 20% + 20% + 20%  will give us 60%

Therefore, shading three boxes will give us 60% which is the water percent in an average adult's body weight.

This is represented by the figure below.

To find the half-life of the radioactive goo, we can use the formula:

N(t) = N₀ * (1/2)^(t / T)

Where:

N(t) is the amount of radioactive material remaining at time t

N₀ is the initial amount of radioactive material

T is the half-life of the radioactive material

t is the time elapsed

Given that the initial amount N₀ is 216 grams and after 90 minutes the sample has decayed to 6.75 grams, we can plug these values into the formula and solve for T:

6.75 = 216 * (1/2)^(90 / T)

To solve for T, we can take the logarithm of both sides:

log(6.75) = log(216 * (1/2)^(90 / T))

Using logarithmic properties, we can simplify the equation:

log(6.75) = log(216) + (90 / T) * log(1/2)

Simplifying further:

log(6.75) - log(216) = (90 / T) * log(1/2)

Using logarithmic rules, we can rewrite the equation:

log(6.75/216) = (90 / T) * log(1/2)

Calculating the left-hand side of the equation:

log(6.75/216) ≈ -1.486

Now we can solve for T:

(90 / T) ≈ -1.486Dividing both sides by -1.486:

T ≈ 90 / (-1.486)

T ≈ -60.47 minutes

Since the half-life cannot be negative, we take the absolute value:

T ≈ 60.47 minutes

Therefore, the half-life of the goo is approximately 60.47 minutes.

To find the formula for G(t), the amount of goo remaining at time t, we can use the formula:

G(t) = N₀ * (1/2)^(t / T)Plugging in the values, we have:

G(t) = 216 * (1/2)^(t / 60.47)

To find the amount of goo remaining after 11 minutes, we can plug t = 11 into the formula:

G(11) = 216 * (1/2)^(11 / 60.47)

Calculating the value:

G(11) ≈ 216 * 0.811

G(11) ≈ 175.38 grams

Therefore, approximately 175.38 grams of goo will remain after 11 minutes.

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Answer:

Graph C

Step-by-step explanation:

When a sample is taken from a population, it is important to understand the characteristics of both the sample and the population. In this scenario, the sample size is 36, meaning that 36 individuals or data points were randomly selected from the larger population.

The population mean is 50, which tells us the average value of the population data. The standard deviation of the population is 5, which indicates the degree of variability in the data.

Using the information provided, we can calculate the standard error of the mean (SEM), which is the standard deviation of the sample mean. The formula for SEM is:

\(SEM = population standard deviation / square root of sample size\)

SEM = 5 / square root of 36

SEM = 5 / 6

SEM = 0.83

Therefore, the standard error of the mean for this sample is 0.83. This means that if we were to take many samples of size 36 from this population, we would expect the mean of each sample to be within 0.83 units of the true population mean of 50.

It is important to note that while this sample may give us some insight into the characteristics of the larger population, it is not necessarily representative of the entire population. To increase the accuracy of our findings, we would need to take multiple random samples and calculate the means and standard errors of each sample.

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Answer:

A

Step-by-step explanation:

Because it is 2+1 and 3+0, those are the only solution, therefore A is correct

======================================================

Explanation:

The set of whole numbers is {0, 1, 2, 3, ...}

So we include 0 and any positive number that doesn't have decimal or fractional components to it. Negative values are not included.

Whatever you pick for x, the y value must add to it to get 3. Both x and y must be numbers from the set of whole numbers.

There are four cases shown in the bullet points above, so we have four different solutions. We can't move onto x = 4 because the y solution would be y = -1, but -1 is not in the set of whole numbers.

Isaac is preparing refreshments for a party, and he has decided to make a smoothie that is both fruity and refreshing. Isaac will make 1.875 gallons of smoothie.

To make this delicious drink, he will mix 3 quarts of strawberry puree with 1 pint of lemonade and 1 gallon of water.

Now, to determine how much smoothie Isaac will make, we need to convert all the measurements into the same unit. Since we are using quarts, pints, and gallons, we need to convert them all into gallons to get the total volume of the smoothie.

First, we need to convert the 3 quarts of strawberry puree into gallons. Since there are 4 quarts in a gallon, 3 quarts is 0.75 gallons. Next, we need to convert the 1 pint of lemonade into gallons. Since there are 8 pints in a gallon, 1 pint is 0.125 gallons. Finally, we need to convert the 1 gallon of water into... well, a gallon!

So, adding up all the volumes of the ingredients, we have:

0.75 gallons (strawberry puree) + 0.125 gallons (lemonade) + 1 gallon (water) = 1.875 gallons

Therefore, Isaac will make 1.875 gallons of smoothie. This should be enough for a decent-sized party, but he might want to double or triple the recipe depending on the number of guests.

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Answer:

Step-by-step explanation:

45 degrees. See inset photo of a right 90 degree isosceles triangle

Answer:

2160

Step-by-step explanation:

18/4= 4.5

480km * 4.5= 2160

Answer:

2160

Step-by-step explanation:

Answer:

9.14 x 6= 54.84

Answer:

9.14*6

Step-by-step explanation:

first 9*6=54

again. 14*6j=84

so 9.14*6=54.84

please give rating and like

0.0042

to convert this to standard form

there are 4 figures after the decimal points

this indicate ten of thoudsandth which is 1/10000

the actual figure after the zeros is 42

therefore, 42 x 10^-4

4.2 x 10^1 x 10^-4

4.2 x 10^1-4

4.2 x 10^-3

The answer is 4.2 x 10^-3

The equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

To find the amount of space between the end of the wall and the painting, we need to subtract the length of the painting from the length of the wall and divide it by 2.

Given that the wall is 16.9 feet long and the painting is to be centered, we can assume the painting's length is unknown. Let's represent it as 'x'.

Therefore, the equation becomes (16.9 - x) / 2 = space between the end of the wall and the painting.

To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 16.9 - x = 2 * (space between the end of the wall and the painting).

Next, we simplify the equation to 16.9 - x = 2 * space.

To isolate x, we subtract 2 * space from both sides, resulting in x = 16.9 - 2 * space.

To determine the exact amount of space between the end of the wall and the painting, we would need to know the value of 'space'. Unfortunately, it is not provided in the question.

In summary, the equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

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Hence, the likelihood that the following customer will purchase multiple costumes is 0.096.

Probability is the measurement of an event's likelihood. Probability aids in determining the chance of an event occurring because many events can really be predicted with 100% accuracy. It is the proportion of positive events to all of the events in such an experiment.

Given data:

There are a total of people present, which would be

= 171 + 148 + 34

= 353

The likelihood that the person after you will buy more than one costume must be determined.

Probability = favourable outcomes / total outcomes

Probability(multiple costumes)  = 34 / 353

Probability(multiple costumes)  = 0.096

Hence, the likelihood that the following customer will purchase multiple costumes is 0.096.

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Answer:

960 people.

Step-by-step explanation:

x = 0.6x + 384

x - 0.6x = 384

0.4x = 384

x = 384 / 0.4 = 960.

Answer:

50cm, 99cm, 145cm

Step-by-step explanation:

The perimeter is just the distance around the triangle. We have all three sides.

So

(x+2) + (2x + 3) + (3x + 1) = 294

Combine like terms

6x + 6 = 294

Subtract 6 on both sides

6x = 288

Divide 6 on both sides

x = 48

So the sides are

x + 2 = 48 + 2 = 50 cm

2x + 3 = 2(48) + 3 = 96 + 3 = 99 cm

3x + 1 = 3(48) + 1  = 145 cm

Checking, first:

50 + 99 + 145 = 194 cm

Plug in x = 48 to the original equation.

48 + 2 + 2(48) + 3 + 3(48) + 1 = 294

48 + 2 + 96 + 3 + 144 + 1 = 294

294 = 294

The lengths of the sides of the triangle are 50 m, 99 m, and 125 m.

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

The sides of triangle are x + 2, 2x + 3, and 3x + 1.

Given that the perimeter of a triangle is 294 cm

Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.

So the perimeter of a triangle = sum of all sides

⇒ x + 2 + 2x + 3 + 3x + 1 = 294

⇒ 6x = 294 - 6

⇒ x = 288/6

⇒ x = 48

So the length of the first side = 2+48 = 50

So the length of the second side = 2(48 ) +3 = 99

So the length of the second side = 3(48) + 1 = 125

Thus, the lengths of the sides of the triangle are 50 m, 99 m, and 125 m.

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If the cross-price elasticity of demand for two goods is 1.25, then the two goods are substitutes.

Cross Price Elasticity of Demand:

The cross elasticity of demand is an economic concept that measures the response of the quantity demanded of one good to changes in the price of another good. Also known as the cross-price elasticity of demand, this measure is calculated by dividing the percentage change in quantity demanded for one good by the percentage change in price of another commodity.

\(E_X_Y\) = \(\frac{Percentage change in Quantity of X }{Percentage Change in Quantity of Y}\)

\(E_X_Y\) = ΔQ/Q ÷ ΔP/P

       = ΔQ/Q × P/ΔP

       = ΔQ/ΔP × P/Q

where:

Q = Quantity of good X

P = Price of good Y

Δ = Change

​The cross elasticity of demand for a substitute is always positive because an increase in the price of a substitute increases the demand for one good. For example, when the price of coffee rises, the demand for tea (alternative beverage) increases as consumers switch to cheaper but alternative beverages. This is reflected in the formula for the cross-elasticity of demand, as the numerator (the percentage change in demand for tea) and the denominator (the price of coffee) represent positive increases.

Items with a coefficient of 0 are unrelated and independent products. Commodities can be weak substitutes for which both products are positive but have a low cross-elasticity of demand. This is often the case with various alternative products such as tea or coffee. Commodities that are strong substitutes have a higher cross-elasticity of demand. Consider a different brand of tea. An increase in the price of green tea from one company has a greater impact on the demand for green tea from the other company.

The cross elasticity of demand is 1.25. Positive cross elasticity means that when the price of one good changes, the quantity demanded of another good changes in the same direction. For example, when the price of one good increases, the demand for another good increases.

This indicates that the two products are fungible. When the price of a product rises, consumers will prefer the cheaper product. As a result, the demand for alternatives will increase.

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Answer:

21

Step-by-step explanation:

add both and make it equal to 180

9x-9=189

x=21

Therefore, the equation of the plane is:

3x - 10y + 2z = -13

This is a complete solution.To find the equation of the plane, we first need to find the normal vector to the plane.

We know that the plane is perpendicular to the plane 6x + 8y + 2z = 14, which means that the normal vector of our plane must be parallel to the normal vector of the given plane.

The normal vector of 6x + 8y + 2z = 14 is <6, 8, 2>. To make this vector a unit vector, we can divide each component by its magnitude, which is sqrt(6^2 + 8^2 + 2^2) = sqrt(100) = 10. Therefore, the unit normal vector of the given plane is <6/10, 8/10, 2/10> = <3/5, 4/5, 1/5>.

Now, we can use the point-normal form of the equation of a plane. Let (x, y, z) be any point on the plane. Then the vector from that point to the point (4, 3, 1) must be parallel to the normal vector of the plane. Similarly, the vector from that point to the point (4, 1, -5) must also be parallel to the normal vector of the plane. So we have the following system of equations:

(x - 4, y - 3, z - 1) = k<3, 4, 1> for some constant k
(x - 4, y - 1, z + 5) = m<3, 4, 1> for some constant m

Simplifying these equations, we get:

x - 4 = 3k = 3m
y - 3 = 4k = 4m
z - 1 = k = -5m

Solving for k and m, we get:

k = -1/2, m = 1/10

Substituting back into the first equation, we get:

(x - 4, y - 3, z - 1) = (-1/2)<3, 4, 1>
x - 4 = -3/2
y - 3 = -2
z - 1 = -1/2

Simplifying, we get:

x = -1/2
y = 1
z = 3/2

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Answer:

...........

3.602

Step-by-step explanation:

.......