Alicia buys a fish tank. The dimensions of the fish tank are 80 cm x 35cm x 40cm. Alicia fills the tank with water to 4/5 of the height of the tank. What is the mass of the water in the fish tank? "I know that 1 cm of water has a mass of 1 gram." Give your answer in kilograms.​

Simplifying this equation gives the correct option as C. V(w) = 24w² - 512w + 2048.

To simplify an equation, we need to perform various operations to reduce it to a simpler or more manageable form. The specific steps for simplification depend on the equation and the desired form.

Here is the solution for the two questions:

Question 1:

The given problem can be solved by using the formula:

Revenue = number of trees * yield per tree * price per bushel

So, the maximum revenue will occur at a point where the derivative of the above formula will be equal to 0.

Then we can find the number of trees that need to be planted.

Thus, the correct option is B.27 trees per acre, maximum revenue of $7.480

Question 2:

The given diagram will look like the following:

The original length of the rectangle will be 3w and the original width will be w. Then, the side of each square that is cut out will be 8 inches. Thus, the width of the box will be w - 2 * 8 and the length will be 3w - 2 * 8.

Therefore, the volume of the box is given by:

V(w) = 8 * (w - 16) * (3w - 16)

Simplifying this equation gives the correct option as C.

V(w) = 24w² - 512w + 2048.

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Answer:

\(g^6\)

Step-by-step explanation:

When multiplying exponents, for example

\(x^2 * x^5\)

Their power values are added together to get

\(x^2 * x^5 = x * x * x* x* x* x* x = x^7\)

Answer:

\(g^6\)

Step-by-step explanation:

because, \(g^3*g^3\) is basically \(g^(^3^+^3^)\) which is \(g^(^6^)\) = \(g^6\)

Answer:

Carrot: 25 calories. Celery: 10 calories.

Step-by-step explanation:

To find your answer, subtract the total amount of calories by how many calories you know one vegetable has.

35-25=10 calories.

Answer:

carrot has 30 and the celery has 5

Step-by-step explanation:

think about it like math, the equation would look something like this:

Assuming C is carrots and cel is celery

C = cel+ 25

C + cel = 35,

substitute:

cel + 25 + cel = 35, combine like terms:

2cel + 25 = 35, isolate

2cel = 10, divide to isolate cel:

cel = 5, now plug it in:

C + 5 = 35, solve:

C = 30

Answer:

7/0

Step-by-step explanation:

7/0 = 7

A rational number is written in the form of p/q, where q is not equal to zero. Therefore it is not a rational number.

Answer:

7/0

Step-by-step explanation:

a irrational can not be written as a fraction

letter D is the answer

Answer:

Area = π\(4.8^{2}\)

Step-by-step explanation:

In order to find the radius, you must divide the diameter by 2:

\(r = \frac{9.6}{2} = 4.8\)

Area of a circle:

A = π\(4.8^{2}\)

A = 72.38 ft^2

Answer:

the answer is 45%.

Step-by-step explanation:

if you add 5% divided by 3 = 15%.

So if you add all of those plus the 30% you will be getting 45%.

it would take approximately 1,192,850 joules of energy to heat 0.5 kg of water from 70°C to steam at 100°C.

To calculate the energy required to heat 0.5 kg of water from 70°C to 100°C and then to convert it to steam at 100°C, we need to consider two separate processes: heating the water and then vaporizing it. The energy required for each process can be calculated using the specific heat capacity and latent heat of vaporization of water.

First, we need to calculate the energy required to heat the water from 70°C to 100°C. This can be done using the formula:

Q = m * c * ΔT

where Q is the energy required, m is the mass of water, c is the specific heat capacity of water (which is 4186 J/(kg°C)), and ΔT is the change in temperature. So:

Q1 = 0.5 * 4186 * (100 - 70) = 62850 J

Next, we need to calculate the energy required to vaporize the water at 100°C. This can be done using the formula:

Q = m * L

where Q is the energy required, m is the mass of water, and L is the latent heat of vaporization of water (which is 2260 kJ/kg). So:

Q2 = 0.5 * 2260 * 1000 = 1130000 J

The total energy required to heat 0.5 kg of water from 70°C to steam at 100°C is the sum of Q1 and Q2: Qtotal = Q1 + Q2 = 1130000 + 62850 = 1192850 J

Therefore, it would take approximately 1,192,850 joules of energy to heat 0.5 kg of water from 70°C to steam at 100°C.

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If the knowledge that an event "a" has occurred implies that another event "b" cannot occur, then the events "a" and "b" are said to be disjoint events.

As per the question statement, the knowledge that an event "a" has occurred implies that another event "b" cannot occur.

We are required to determine the characteristic name for the above mentioned events.

And here, if event "a" occurs, even "b" does not, implying the fact that, events "a" and "b" cannot occur simultaneously. Hence, as per the above definition of disjoint events,  the events "a" and "b" are be disjoint.

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Answer:

I think it's

8 first and then 27/36 then -1/4 and lastly -19/29

Step-by-step explanation:

Answer: 8 27/36 -1/4 -19/20

Step-by-step explanation:

This are the right answer I guess because I learn it before I am like 92% sure about it

The major parts of a salary range typically include the minimum, midpoint, and maximum salary for a position. The median salary is often used as a point of reference within a salary range, but is not considered one of the major parts.

The median salary is the salary at which half of the workers in an occupation earn less and half earn more.The midpoint is the average of the minimum and maximum salaries. It is used to calculate the median salary. The median salary is the salary that is in the middle of the minimum and maximum salaries. It is used to calculate the mean salary. The mean salary is the average of all the salaries.

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Answer:

A,B,D

Step-by-step explanation:

In this scenario, the null hypothesis states that a surgical procedure is successful at least 80% of the time, while the alternative hypothesis claims that it is less than 80% successful.

In hypothesis testing, Type II error occurs when the null hypothesis is not rejected even though it is false. The Type II error, denoted by β, would occur if we fail to reject the null hypothesis even though it is false, i.e., when the actual success rate of the surgical procedure is less than 80%.

Therefore, β represents the probability of accepting the null hypothesis when the alternative hypothesis is true. It is also known as the false negative rate, as it occurs when we fail to detect a significant difference between the sample and population due to random chance or other factors.

The value of β depends on various factors, such as the sample size, significance level, and effect size. To calculate β, we need to specify these values and use statistical software or tables to find the probability of Type II error.

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Answer: 5x ( x - 5y )

Step-by-step explanation:

When an ordinary die is rolled and the number is recorded, the sample space is {1, 2, 3, 4, 5, 6}. The correct answer is:
b. {1, 2, 3, 4, 5, 6}, equally likely

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling an ordinary die, and thus the sample space is the set of numbers that can appear on the die face. The sample space is {1, 2, 3, 4, 5, 6} because those are the only possible outcomes.

For a fair die, each of these outcomes is equally likely to occur. This means that the probability of rolling any particular number is 1/6, because there are 6 possible outcomes and they are equally likely.

Therefore, the correct answer is:

b. {1, 2, 3, 4, 5, 6}, equally likely

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Answer: P(rolling a sum of 4 or rolling a sum of 5)

Step-by-step explanation: edge2023

The scenario that uses the addition rule for mutually exclusive events is:

p(rolling a sum of 4 or rolling a sum of 5) = p(rolling a sum of 4) + p(rolling a sum of 5)

This is because the events "rolling a sum of 4" and "rolling a sum of 5" are mutually exclusive, meaning that they cannot occur at the same time. Therefore, the probability of either event occurring is the sum of their individual probabilities.

The probability of rolling a sum of 4 is 3/36, and the probability of rolling a sum of 5 is 4/36. The addition rule states that the probability of rolling a sum of 4 or 5 is the sum of their individual probabilities: 3/36 + 4/36 = 7/36

The other scenarios do not use the addition rule for mutually exclusive events:

p(rolling a sum of 4) is a single event and does not involve a second event.

p(rolling a sum of 12 or rolling a double 6) although the two events are mutually exclusive, it's not the sum of their individual probabilities.

p(rolling a sum of 11 and rolling a sum of 12) these events are not mutually exclusive, they can happen at the same time, so it's not the sum of their individual probabilities.

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The 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

To determine the 10%-90% rise time of a response, we need to find the time it takes for the response to go from 10% of its steady-state value to 90% of its steady-state value.

Looking at the graph or response data provided, we can estimate that the steady-state value of the response is approximately 1.4.

10% of 1.4 is 0.14, and 90% of 1.4 is 1.26.

So we need to find the time it takes for the response to go from 0.14 to 1.26.

By examining the graph or data, we can see that this occurs between t = 0.9 seconds and t = 1.2 seconds.

The difference between these two times is:

1.2 - 0.9 = 0.3 seconds

Therefore, the 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

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The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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Answer:

Step-by-step explanation:

a) The annual demand is 420.

b) The weekly demand forecast is 8.08

c) The EOQ would be approximately 41

d) The reorder point is 45.12

e) The total annual cost is 102439.02

f) The pipeline inventory is 32.32

g) The new reorder point is 48.82

a) To calculate the annual demand, you need to use your student number. For example, if your student number is BBAW190102, the last digit is 2. So, the annual demand would be 400 + 10 x 2 = 420.

b) To calculate the weekly demand forecast for 2021, you need to divide the annual demand by the number of weeks in a year. Assuming there are 52 weeks in a year, the weekly demand forecast would be 420 / 52 = 8.08 (rounded to two decimal places).

c) The economic order quantity (EOQ) can be calculated using the formula EOQ = sqrt((2DS) / H), where D is the annual demand, S is the ordering cost per order, and H is the annual holding cost. In this case, D is the annual demand calculated in part a, S is $1000, and H is $500. Plugging in these values, the EOQ would be sqrt((2 x 420 x 1000) / 500) = sqrt(840000 / 500) = sqrt(1680) ≈ 41 (rounded to the nearest whole number).

d) The reorder point is the level of inventory at which a new order should be placed. It can be calculated using the formula reorder point = demand during lead time + safety stock. The demand during lead time is the average demand per week multiplied by the lead time, which is 8.08 x 4 = 32.32 (rounded to two decimal places). The safety stock is the z-score multiplied by the standard deviation of weekly demand. The z-score for a 90% cycle service level is 1.28 (given in the question) and the standard deviation of weekly demand is 10 (given in the question). So, the safety stock would be 1.28 x 10 = 12.8 (rounded to one decimal place). Therefore, the reorder point would be 32.32 + 12.8 = 45.12 (rounded to two decimal places).

e) The total annual cost of managing the inventory can be calculated using the formula TC = (S x D/Q) + (H x (Q/2 + s)), where S is the ordering cost per order, D is the annual demand, Q is the economic order quantity, H is the annual holding cost, and s is the safety stock. Plugging in the values, the total annual cost would be (1000 x 420/41) + (500 x (41/2 + 12.8)) = 102439.02 (rounded to two decimal places).

f) The pipeline inventory refers to the inventory that is in transit or being processed. In this case, since the lead time is 4 weeks, the pipeline inventory would be the average demand per week multiplied by the lead time. So, the pipeline inventory would be 8.08 x 4 = 32.32 (rounded to two decimal places).

g) To achieve a 95% cycle service level, we need to calculate the new safety stock and reorder point. The z-score for a 95% cycle service level is 1.65 (given in the question). Using the same formula as in part d, the new safety stock would be 1.65 x 10 = 16.5 (rounded to one decimal place). Therefore, the new reorder point would be 32.32 + 16.5 = 48.82 (rounded to two decimal places).

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Answer:

24

Step-by-step explanation:

20+20% is equal to 24.

Answer:

60 hours to lose 120 gallons of water.

Step-by-step explanation:

Make a spreadsheet of the data with 3 columns.  The first will contain the hours and the second will contain the gallons of water lost.  (attached).  It would be useful to have a water loss rate, such as gallons lost per hour.  So in the third column, take the gallons of water for that line and divide it by the hours for that same line.  Do this for each of the line entries, as shown.  The first thing to note is that they are all the same.  Perfect! (and important).  This means we can use the rate of 2 gallons per hour and multiply it by the number of hours to find the total water lost:

   (Rate[gal/hr])x(Time[hr]) = Gallons water lost

The question is how mush time until 120 gallons are lost.  The unknown is the hours, which we'll call x.  Now we can set up the equation and solve for x:

(Rate[gal/hr])*(Time[hr]) = Gallons water lost

(2 gal/hr)*(x) = 120 gallons water

x = 60 hours to lose 120 gallons of water.

Step-by-step explanation:

Dealing with a toxic friend can be difficult, and it's important to prioritize your own well-being in such situations. Here are some steps you can take to cut off a toxic friend:

Set boundaries: Communicate your boundaries clearly to your friend. Let her know that you will not tolerate arguments and that you need space.

Limit your interactions: Avoid spending time with your friend as much as possible. You can start by limiting your communication to only when necessary.

Be honest: If you decide to cut off the friendship, be honest about why. Explain how her behavior has impacted you and why you no longer want to be friends.

Seek support: It's important to have a support system when going through a difficult time. Talk to someone you trust about your decision and the reasons behind it.

Move on: Once you've made the decision to cut off the friendship, focus on moving on. Surround yourself with positive people and activities that bring you joy.

Remember, cutting off a toxic friend is not easy, but it is necessary for your own well-being. You deserve to be surrounded by people who uplift and support you.

Answer:

Step-by-step explanation:

yeah so basically

Dealing with a toxic friend can be difficult, and it's important to prioritize your own well-being in such situations. Here are some steps you can take to cut off a toxic friend:

Set boundaries: Communicate your boundaries clearly to your friend. Let her know that you will not tolerate arguments and that you need space.

Limit your interactions: Avoid spending time with your friend as much as possible. You can start by limiting your communication to only when necessary.

Be honest: If you decide to cut off the friendship, be honest about why. Explain how her behavior has impacted you and why you no longer want to be friends.

Seek support: It's important to have a support system when going through a difficult time. Talk to someone you trust about your decision and the reasons behind it.

Move on: Once you've made the decision to cut off the friendship, focus on moving on. Surround yourself with positive people and activities that bring you joy.

Remember, cutting off a toxic friend is not easy, but it is necessary for your own well-being. You deserve to be surrounded by people who uplift and support you.

Working efficiently, grouping tasks together, using the hood only when necessary, and proper cleaning and maintenance can all help minimize the number of times the hood sash is raised and lowered.

To minimize the number of times the hood sash is raised and lowered, it's important to work efficiently as possible in the hood. This means planning out your work ahead of time and grouping tasks together that require similar equipment or materials.

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9514 1404 393

Answer:

  16 square units

Step-by-step explanation:

The area of the square base is ...

  A = s²

  A = 2² = 4

The area of each triangle is ...

  A = (1/2)bh

  A = (1/2)(2)(3) = 3

So, the area of the base and 4 triangles is ...

  total area = 4 + 4(3) = 16 . . . square units

Answer:

its 16

Step-by-step explanation:

When a range of values is used to estimate a population parameter, it is called an interval estimate. The correct answer is option D.

An interval estimation is the evaluation of a parameter of a population by computing an interval, or range of values, within which the parameter is most likely to be located. An interval estimate gives you a range of values where the parameter is expected to lie. In other words, an interval estimate is a range in which the population parameter probably falls for a given level of confidence. We have to establish a level of confidence because we can never be 100 percent sure that the population mean falls within our confidence interval. A confidence interval is the most common type of interval estimate.

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