a rain water collection system uses a cylinderical storage tank with a diameter of 50 centimeters and a height of 80 centimeters. what is the total volume of water in cubic centimeters that can be collected?

Answer:

Uhhhhhhhhhh I think it’s like 11 maybe or possibly 2 but I think 11

Step-by-step explanation:

The rate of depreciation on the reducing balance method is $12,000.

The Piano value at the beginning of 2017 is $75,000 – $15,000 = $60,000. Depreciation for 2017 is $60,000 × 0.2 = $12,000.

This is because the rate of depreciation (20% in this case) is applied to the book value, which decreases year after year.

In 2016, the book value was $75,000, but by 2017 it had dropped to $60,000. It was reduced to $48,000 a year later. Keep in mind that the depreciation rate remains constant, but it is applied to a smaller amount (i.e., book value) each year.

As a result, the amount of depreciation per year is lower.

What is Reducing value ?

The reducing installment method is another name for the reducing balance method. It is especially useful for fixed assets whose value depreciates more rapidly in the first few years of use (e.g., cars, office equipment, and small machinery).The reducing balance method of depreciation is a method of accounting for assets over time. It is also known as declining balance depreciation or diminishing balance depreciation. It is charged at a set rate, similar to the straight line method (also known as the fixed instalment method or straight line.

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Answer:

Step-by-step explanation:

You want to solve the system of equations ...

We can eliminate y by subtracting the first equation from 4 times the second:

  4(3x +y) -(x +4y) = 4(-2) -(25)

  11x = -33

  x = -3

Using the second equation, we have ...

  y = -2 -3x = -2 -3(-3) = 7

The values of x and y that make the equation true are ...

__

Additional comment

The sum of matrices is the sum of corresponding terms. The constant terms on the diagonals are irrelevant to the values of x and y. The off-diagonal sums give the two equations solved here.

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Answer: 39/2 or 19 1/2

Step-by-step explanation:

Convert a mixed number 2 1/6 to a improper fraction:

2 1/6 = 2 1/6 = 2 · 6 + 1/6 = 12 + 1/6 = 13/6

To find a new numerator:

1. Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6

2. Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13

3. Write a previous answer (new numerator 13) over the denominator 6.

Two and one sixth is thirteen sixths

Multiply: 9 * 13/6 = 9 · 13/1 · 6 = 117/6 = 39 · 3/2 · 3 = 39/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(117, 6) = 3. In the following intermediate step, cancel by a common factor of 3 gives 39/2.

In other words - nine multiplied by thirteen sixths is thirty-nine halves.

Answer:

10,684

Step-by-step explanation:

took the test

Answer:

s2 = 105174.93

Step-by-step explanation:

s2=∑ni=1(xi−x¯)^2 / n−1

Answer:

r≤5

Step-by-step explanation:

Steps are in the photo. Hope this helps.

Answer:

4.53/1=4.53  4.53x1.36=6.1608

6.1608 per kilogram

Step-by-step explanation:

Divide the total cost by the number of pounds to determine the cost of each pound. Divide the original cost by 1.36 kg to get the price in kilograms

Answer:

OMGGGG wanna work on this together I need this question too

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Answer:

24/225

Simplified: 8/75

Step-by-step explanation:

8 + 4 + 3 = 15

Since there are no replacements the denominator will get lower every time a marble is pulled.

First is blue which means,

3/15

The second is white,

8/15

If I'm not wrong you would multiply 3/15 and 8/15 and you get 24/225.

Simplified: 8/75

The probability that the first marble is blue and the second marble is white, that is P(blue marble and white marble) is 8/75.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

A bag contains 8 white marbles, 4 green marbles and 3 blue marbles.

2 marbles are selected at random without replacement.

Total number of marbles

8 + 4 + 3 = 15

Since there are no replacements the denominator will get lower every time a marble is pulled.

The first marble is blue ; 3/15

The second is white ; 8/15

The probability that the first marble is blue and the second marble is white, that is P(blue marble and white marble)

=  3/15 x 8/15

= 24/225.

= 8/75

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Answer:

7. Is answer

Step-by-step explanation:

Because 3+4=7

The square root of 76.8 is 8.76.

Square root of 76.8 is 8.746.

Given,

\(\sqrt{76.8}\)

Now,

Simplifying the square root :

If square root of x is to be calculated then,

\(\sqrt{x}\) = \(x^{1/2}\)

Similarly,

\(\sqrt{76.8}\) = \(76.8^{1/2}\)

= 8.746

Thus the square root of 76.8 is 8.746.

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a. The standard deviation of the tuition is  $150.

b. The shape of this distribution is a normal distribution, which is a bell-shaped curve.

(a) The mean tuition is $100 per credit hour * 15 credit hours per semester + $150 lab fee = $1650 per semester.

The standard deviation of the tuition is l:

= ✓(100² + 150²) =

= ✓22500

= $150.

(b) The shape of this distribution is a normal distribution, which is a bell-shaped curve. The mean is the center of the distribution, and the standard deviation is the width of the distribution. The majority of the tuitions will be close to the mean, with fewer and fewer tuitions as you move further away from the mean.

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Answer:

Step-by-step explanation:

(-4*5 - 1) + (-4)

(-20 - 1) - 4

-21 - 4

-25

On this problem, we have two sets of criteria. Let's call the event A as the event of the audit report to be on-time, consequently being late is the complement of A(noted as A'), and the event B as the event of the audit report to be

complete(incomplete reports noted as B').

From the text, we know that the probability that an audit report is incomplete is 0.05

The probability that an audit report is complete given it was submitted late is 0.80

and the probability that an audit report is on-time is 0.90

The probability of an event and its complement must add up to 1, because only one of them can happen. This gives to us the following probabilities

We want to calculate the probability that the audit report is complete and not late

Using the conditional probability formula, this probability is given by

We already know the probability for B to happen, now we need to determinate the probability for A to happen given B. We already have the probability for B to happen given the A'. Using the Bayes Theorem we can calculate the probability of A' happening given B, and this will be the complement of P(A|B).

Calculating P(A'|B) using the Bayes Theorem, we have

Then, P(A|B) is

Then, the probability that the audit report is complete and not late is

The number of points gained overall by Julia playing the game is 30 point

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

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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1. Relation 1 is a function

2. Relation 2 is a function

3. Relation 3 is not a function

4. Relation 4 is a function

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

The relations (1) to (4)

Relation (1)

This relation is a function

This is because each range value point to unique domain values

Relation (2)

This relation is a function

This is because each range value point to unique domain values

Relation (3)

This relation is not a function

This is because domain values w have different range values.

Relation (4)

This relation is a function

This is because each range value point to unique domain values

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The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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The coordinates of point H' will be: H'(3, 9)

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

The original object's dimensions, orientation, or shape are unaffected by translation.

Translating a point P(x, y) 1 unit up means we need to add to use P'(x, y+1), that is adding 1 unit to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 1 unit up. So, use the formula

P(x, y) → P'(x, y + 1)

Thus, the coordinates of point H' will be:

H( 3, 8) → H'( 3, 8+1) → H'(3, 9)

Therefore, the coordinates of point H' will be: A'(3, 9).

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Type I regions- ∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx

Type II regions- ∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy

Curves of type I can be described for yy in terms of xx and often "lay above and below" one another.

Type II curves, on the other hand, can be defined for xx in terms of yy and are more or less "left and right" of one another.

Type II regions can be divided into horizontal slices, but Type I regions can be divided into vertical slices.

When a location is simultaneously classified as Type I and Type II, you can choose to examine it in any manner.

Type I regions are regions that are bounded by vertical lines x=a and x=b, and curves y=g(x) and y=h(x), where we assume that g(x)<h(x) and a<b. Then we can integrate first over y and then over x:

∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx

Type II regions are bounded by horizontal lines y=c and y=d, and curves x=g(y) and x=h(y), where we assume that g(y)<h(y) and c<d. Then we can integrate first over x and then over y:

∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy

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The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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By using Euclidean geometry, the set of side lengths  2.5 cm, 1.8 cm, 4 cm can form a triangle.

The sum of the lengths of any two sides must be greater than the length of the third side.

a + b ≥ c

A triangle is a three-sided polygon with three straight sides. It is a basic geometric shape that is found in many areas of mathematics and geometry.

Using this rule, we can determine which of the given sets of side lengths can form a triangle:

(a) 3 cm, 4 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (3 cm + 4 cm = 7 cm) is equal to the length of the third side.

(b) 2 cm, 3 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2 cm + 3 cm = 5 cm) is less than the length of the third side.

(c) 2.5 cm, 1.8 cm, 4 cm: It is possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2.5 cm + 1.8 cm = 4.3 cm) is greater than the length of the third side.

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Answer:

7.065

Step-by-step explanation:

So, to find the area of a circle you need to use "A =  π r2"

First, we have to find out the radius of the circle, so cut the diameter in half, that will equal 1.5 ft

then, you put 3.14 (pi) into a calculator

then put (1.5 x 1.5) which is 1.5 to the second power.

the equation put together will be 3.14 (1.5 x 1.5)

So the answer will be 7.065

This is because the event "selling items" leads directly to the event "earning money". Keep in mind that this is the revenue and not the profit, so you'll have to account for expenses of course.

-------------

Something like choice A may seem to be an example of causation, but traffic accidents happen in other situations as well such as rainy weather or distracted driving. We can rule out choice A.

Choice B isn't the answer either because you may have a really skinny and tall person.

Choice D is likely to have strong positive correlation (since people are probably using wood stoves more when it gets cold), but the cold weather itself on its own is not causing the fires. Instead, the actual fire material is doing that. So we can rule choice D out as well.

Answer:

Step-by-step explanation:

Let numbers be x and y

Then we have equations:

Comparing

Then, the larger number is

Answer:

Huh? is it triangle? and right triangle? if it is its 62^2 = 12^2 + x^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Brazil : 12,500,000 = 5,000,000 + 5,000,000 + 2,500,000

                               = full cat + full cat  + half cat

It’s cAnswer:

Step-by-step explanation:

it’s right

The graph that represents the situation is added as an attachment

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

This means that the graph would be represented using a distance/time graph

Such that the distance would be on the y-axis and the time would be on the x-axis

See attachment for the graph

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