which is the value of....​

Answer:

91 degrees

Step-by-step explanation:

A right angle is 90 degrees, but in the photo it shows 91 degrees.

The measure of an angle that is coterminal with a 135° angle is 495°.

Coterminal angles are angles that share the same initial and terminal sides, meaning that they differ by a multiple of 360°.

Therefore, to find an angle that is coterminal with 135°, we need to add or subtract multiples of 360° until we get an angle within the given range.

Here, we have the following options:135° + 360° = 495° (this is the smallest positive angle that is coterminal with 135°)135° - 360° = -225° (this is a negative angle that is coterminal with 135°)Since we are given a list of positive angles as answer choices, the correct answer is 495°.

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The correct statements are:

b) Ordering costs decrease with respect to lot size,

c) It is good to have fixed interval ordering systems for products that have independent demand,

e) Taxes and insurance costs can be considered as carrying costs of inventory,

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs,

h) Costs of repairing faulty products under warranty are limited to external failure costs, and j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur.

b) Ordering costs decrease with respect to lot size: Ordering costs involve the expenses incurred when placing orders for inventory, such as administrative costs, processing fees, and transportation costs.

When the lot size increases, the frequency of placing orders decreases, resulting in lower ordering costs per unit. This is because the fixed costs associated with ordering are spread over a larger quantity of inventory.

c) It is good to have fixed interval ordering systems for products that have independent demand: Fixed interval ordering systems involve placing orders at regular intervals, regardless of the inventory level.

This approach is suitable for products with independent demand, where the demand is unpredictable or sporadic. By setting fixed intervals, the company can ensure a consistent replenishment schedule and avoid stockouts while optimizing inventory levels.

e) Taxes and insurance costs can be considered as carrying costs of inventory: Carrying costs are the expenses associated with holding and storing inventory.

They include costs such as storage fees, insurance premiums, taxes on inventory, and the opportunity cost of tying up capital in inventory. Taxes and insurance costs directly impact the financial burden of inventory holding and are considered as components of carrying costs.

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs: Internal failure costs are expenses incurred due to quality issues discovered within the company's operations.

In the context of inventory, costs related to defective products identified after they are shipped, but before reaching the customer, fall under internal failure costs. These costs include rework, scrap, and any necessary corrective actions taken to address the quality problems.

h) Costs of repairing faulty products under warranty are limited to external failure costs: External failure costs are the expenses incurred due to quality issues discovered by customers after the products have been delivered.

When faulty products are repaired under warranty, the costs associated with the repairs are considered external failure costs. This includes the direct costs of repairing or replacing the faulty products and any associated customer service expenses.

j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur: The Economic Order Quantity (EOQ) model is a widely used inventory management technique.

It assumes that demand for the product is constant and known with certainty, there are no quantity discounts or price variations, and there is no possibility of stockouts occurring.

The assumption of no stockouts simplifies the calculations and ensures that the optimal order quantity obtained from the model will meet the demand without interruptions.

However, in real-world scenarios, stockouts can occur due to unforeseen factors, variability in demand, or supply chain disruptions.

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Answer: the correct answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of the graph in the slope intercept form is

y = 5x -2

The slope is 5.  If you start at the y-intercept (0, -2) and go up 5 and 1 to the right you will be at the red point (1,4).  The slope is the rise over the run.

\(\frac{5}{1}\) = 5.  

The y -intercept is where the line crossed the y axis (0,-2)

The y intercept is -2

A

y - 3 = 5x - 5  Add 3 to both sides

y - 3 + 3 = 5x - 5 + 3

y = 5x -2

Answer: the area for the square is 126.56cm²:

Answer:

MK = 14

Step-by-step explanation:

MK = ML + LK , substitute values

4x - 2 = 8 + x + 2

4x - 2 = x + 10 ( subtract x from both sides )

3x - 2 = 10 ( add 2 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Thus

MK  = 4x - 2 = 4(4) - 2 = 16 - 2 = 14

Answer:

B and D

Step-by-step explanation:

One thing is for certain. The final answer will be 1/r^12 or r^(-12)

When written as the given of (r^-4)^3, the powers are multiplied.

The first one is false. There are 4 factors of r^-4 If you get an answer that says it is true, then the question means that r^-4 is 3 equal factors of r^-12

B is true

C: not true. The exponents are multiplied, not added.

D is true

E: not true. This is the same thing as C.

Step-by-step explanation:

If an object has a higher density than the fluid it is in (fluid can mean liquid or gas), it will sink. If it has a lower density, it will float. Density is determined by an object's mass and volume. If two objects take up the same volume, but have one has more mass, then it also has a higher density.

a)

x - intercepts: 2 and -1/2

Point = (3, -14)

quadratic formula:

y = a(x -2)(x + 1/2)

we need to solve for a.

-14 = a(3 - 2)(3 + 1/2)

-14 = a(7/2)

a = - 4

so:

y = -4(x -2)(x + 1/2)

y = -4x^2 + 6x + 4

b)

x - intercept = -2 = (-2, 0)

point: (-1, 4)

We can plug both points into two separated equations, as follows:

4 = a(-1)^2 + b(-1) + c (EQUATION 1.)

0 = a(-2)^2 + b(-2) + c (I'll multiply this equation by -1 in order to add the 2 equations together and get rid of c)

4 = a - b + c

0 = -4a + 2b - c

_____________

4 = -3a + b

a = 1/3b - 4/3**

Now we plug back in to the first equation to find c.

4 = 1/3b - 4/3 - b + c

c = 2/3b + 16/3 **

Now we plug one last time on the equation 1 with all b variables:

4 = 1/3b - 4/3 - b + 2/3b + 16/3

b =

Answer:

the amswer is c

Step-by-step explanation:

Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:

B. \((3x-4)(x+1)\)

Step-by-step explanation:

Answer:

x=5/4

r =20

Step-by-step explanation:

On the left we have 9x -7

On the right side we have -3x + 8

9x-7 = -3x+8

Add 3x to each side

9x+3x-7 = -3x+3x+8

12x -7 = 8

Add 7 to each side

12x -7+7 = 8+7

12x = 15

Divide each side by 12

12x/12 =15/12

x = 5/4

Carnival T

7+.5r

Carnival Q

12+.25r

Set them equal for the cost to be the same

7+.5r=12+.25r

Subtract .25r from each side

7+.5r-.25r=12+.25r-.25r

7+.25r = 12

Subtract 7 from each side

7-7+.25r = 12-7

.25r = 5

Divide each side by .25

.25r/.25 = 5/.25

r=20

Answer:

= 4.875 × 105

(scientific notation)

= 4.875e5

(scientific e notation)

= 487.5 × 103

(engineering notation)

(thousand; prefix kilo- (k))

Answer:

1 hour and 50 minutes will take to fill up a 300 gallon swimming pool explanation just do the quation/math

At a rate of 4 gallons per min , how long will it take to fill a 300 gallon swimming pool

Time to fill = Total Gallons of the Pool / Fill Rate

Time to Fill = 300 gallons / 4 gallons per minute

Time to Fill = 75 minutes

Answer:

(7, 0), (-8, 0), (0, 0)

Step-by-step explanation:

y = f(x) = 0

the real solutions are the ones that cross the x-axis because when a point is on the x-axis, its y coordinate will be 0.

=> (7, 0), (-8, 0), (0, 0)

Answer: 90$

Step-by-step explanation:

a. The standard error of the mean can be determined using the formula:

Standard error of the mean = population standard deviation / square root of sample size

Plugging in the given values, we get:

Standard error of the mean = 25 / square root of 250
Standard error of the mean = 25 / 15.8114
Standard error of the mean = 1.579 (rounded to 3 decimal places)


The standard error of the mean measures the amount of variability or error that is expected in the sample mean when compared to the true population mean. It is calculated by dividing the population

by the square root of the sample size. In this case, the standard error of the mean is 1.579, indicating that the sample mean of 20 is expected to be off by around 1.579 units from the true population mean.

c. To determine the 95% confidence interval for the population mean, we can use the formula:

Confidence interval = sample mean +/- (critical value) x (standard error of the mean)

The critical value can be obtained from a t-distribution table with n-1 degrees of freedom, where n is the sample size. For a 95% confidence interval and 249 degrees of freedom, the critical value is 1.96.

Plugging in the given values, we get:

Confidence interval = 20 +/- (1.96) x (1.579)
Confidence interval = 20 +/- 3.095
Confidence interval = (16.905, 23.095) (rounded to 3 decimal places)


The confidence interval is a range of values that is expected to contain the true population mean with a certain degree of confidence. In this case, we are 95% confident that the true population mean falls within the range of 16.905 to 23.095. This means that if we were to repeat this sampling process many times, 95% of the resulting confidence intervals would contain the true population mean.

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Answer:

(60 - 12) ÷ 6

Step-by-step explanation:

(60 - 12) ÷ 6 because you need to subtract the miles he's already ridden and then if you want to split the remaining miles evenly across 6 days, you then divide the difference of 60 - 12.

The equation that could be used to determine x, the average number of miles Brody would have to ride to meet his goal is -

x + 2 = 10.

We have Brody who wants to ride his bicycle 60 miles this week. He has already ridden 12 miles.

We have to determine which equation could be used to determine  the average number of miles he would have to ride to meet his goal If he rides for 6 more days.

The speed at which you will move = 40/4 = 10 Km/hr

According to question, we have -

Target miles = 60 miles

Time to achieve target = 7 days

Miles ridden = 12 miles

Therefore, miles remaining = 60 - 12 = 48 miles.

Days left = 6 days.

Therefore, the rate at which Brody will have to ride is = 48/6 = 8 miles/day.

In the form of equation, you can write as -

6x + 12 = 60

x + 2 = 10

Where x - average number of miles he would have to ride to meet his goal

Hence, the equation that could be used to determine x, the average number of miles Brody would have to ride to meet his goal is -

x + 2 = 10.

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Answer:

the answer should be 140

Step-by-step explanation:

The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058

The given geometric sequence is:

4, -12, 36, -144

The first term, a = 4

The common ratio,

\(r = \frac{-12}{4}\\r = -3\)

Since we are looking for the sum of the first 10 terms

The number of terms, n = 10

The sum of the first n terms of a geometric sequence is given as:

\(S_n = \frac{a(1-r^n)}{1-r} \\S_n = \frac{4(1-(-3)^{10}}{1-(-3)} \\S_n = \frac{4(1-59049)}{4} \\S_n = -59048\)

The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058

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Answer:

a= 0.9

b=-1

c=-0.6

d=0.2

all correct, your welcome

Answer:

0.059 (to 3 dp)

Step-by-step explanation:

\(\binom{40}{5}(0.06)^{5}(0.94)^{35} \approx 0.059\)

The multicomponent continuous distillation process for separating a hydrocarbon mixture of methane, ethane, propane, and n-butane at a feed rate of 100 kmol/hr and 500 kPa and 70°C requires two stages to achieve 97% recovery of ethane in the distillate and 95% recovery of the propane in the bottoms.

The distillate flowrate is 16.4 kmol/hr, and the bottoms flowrate is 0 kmol/hr. The light key is ethane, and the heavy key is propane. The minimum reflux ratio required for this separation is 0.38.

Distillation is a physical process used for separating different components of a mixture based on their differences in boiling points. There are various types of distillation processes, such as simple distillation, fractional distillation, and continuous distillation, among others. For multicomponent continuous distillation, the process involves continuous feed of a mixture into a column where it is heated, vaporized, and the vapor is then allowed to condense at different heights of the column. The condensed vapors are then separated into fractions based on their boiling points.

As members of the design team at NKOSI CONSULTANCIES, using the FUG method, and principles of the preliminary design process, we need to determine the following:

1. First Iteration: Distillate and Bottoms Flowrates and Compositions

To determine the flowrates and compositions, we first need to identify the light and heavy keys. The key component is the one that has the highest relative volatility, which is the ratio of the vapor pressures of the two components. The light key is the component with the highest relative volatility that is more volatile than the feed. On the other hand, the heavy key is the component with the lowest relative volatility that is less volatile than the feed.

For this problem, we can assume that ethane is the light key and propane is the heavy key since the desired product specification is to achieve 97% recovery of ethane in the distillate and 95% recovery of the propane in the bottoms.

Assuming a 100 kmol/hr feed rate, the vapor-liquid equilibrium data was obtained for the mixture and it can be presented as follows:



From the table above, xF, yD, and zB represent the feed composition, distillate composition, and bottoms composition, respectively. We can calculate the flowrates of the distillate (D) and bottoms (B) streams as follows:

D = q * F * yD = 1 * 100 kmol/hr * 0.164 = 16.4 kmol/hr
B = (1 - q) * F * zB = 0 * 100 kmol/hr * 0.15 = 0 kmol/hr

The distillate and bottoms flowrates are 16.4 kmol/hr and 0 kmol/hr, respectively. The distillate composition is 16.4% ethane, 83.3% methane, and 0.3% propane. The bottoms composition is 0.1% ethane, 1.3% propane, 1.3% butane, and 97.3% methane.

2. Second Iteration: Minimum Number of Stages at Total Reflux

The minimum number of stages required for a given separation is obtained at total reflux (L/D = ∞), where the reflux ratio is the ratio of the liquid returned to the column to the distillate produced. The minimum reflux ratio (Rm) is obtained using the following equation:

Rm = (L/V)min = α/(α - 1)

where α is the relative volatility of the key components, which is the ratio of their vapor pressures. For this problem, α = αethane/propane = 3.65/1.39 = 2.63.

Therefore, Rm = 2.63/(2.63 - 1) = 2.63. The minimum number of equilibrium stages (Nmin) required for this separation is obtained using the Fenske-Underwood-Gilliland (FUG) method, which is given by:

Nmin = log(Rm) / log(α) = log(2.63) / log(2.63) = 1 stage

However, it is recommended to use at least 30% more stages than the minimum number to ensure a good separation. Therefore, the number of stages required for this separation is:

N = 1.3 * Nmin = 1.3 stages ≈ 2 stages

3. Minimum Reflux

The minimum reflux ratio is the minimum amount of liquid reflux required to achieve the desired separation. The minimum reflux ratio (Rmin) can be calculated using the following equation:

Rmin = (L/V)min = (N - 1) / α

For this problem, α = 2.63 and N = 2. Therefore, Rmin = (2 - 1) / 2.63 = 0.38. Therefore, the minimum reflux ratio required for this separation is 0.38.

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Answer:

C and D

Step-by-step explanation:

(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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Answer:

$5.41

Step-by-step explanation:

654 divided by 120.99=5.405... therefore the answer is $5.41