do atoms have potential and kinetic energy? please explain why you think so?

Answer:

goood luccccccckkkk...

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer is 17.............................

Answer:

\(-\frac{8\sqrt{2}+2}{15}.\)

Step-by-step explanation:

1) sin(a+b)=sin(a)cos(b)+sin(b)cos(a);

2) if sin(a)=-0.4, then cos(a)=0.8; if cos(b)=1/3, then sin(b)=-√8/3;

3) finally, sin(a+b)=-0.4*1/3-√8/3*0.8=

\(=-\frac{8\sqrt{2}+2}{15}.\)

Answer:

Step-by-step explanation:

Q1

Q2

x is the sum of supplementary angles of 125° and 115°

Q3

Q4

Q5

1) Given y = x+2 and y = -4x-8.

Since the left hand sides of both equations are same, equate the right hand side of both the equations.

Add 4x on both sides.

Add -2 on both sides.

Divide by 5 on both sides.

Substitute the value of x into y = x+2.

Solution is (-2,0).

2) Given y = 3x+1 and y = -2x+6.

Since the left hand sides of both equations are same, equate the right hand side of both the equations.

Add 2x on both sides.

Add -1 on both sides.

Divide by 5 on both sides.

Substitute the value of x into y = 3x+1.

Solution is (1, 4).

3) Given y = -3x-6 and 6x+2y = -2.

Substitute -3x-6 for y into 6x+2y = -2.

which is not possible. Hence the given system of equations has no solution.

4) Given y = -5 and -8x+4=-20.

From the second equation, -8x+4 = -20, solve for x.

Add -4 on both sides.

Divide by -8 on both sides.

Solution is (-5, 3).

Answer:

Step-by-step explanation:

sin28=0,27

cos28=0.88

so b=0.88c

and a =0.27c and from here is easy

Answer:

28

Step-by-step explanation:

There are 4 quarts in a gallon, and since we have 5 gallons that gives us 20 quarts. Then we add the 5 quarts to give us 25 quarts. Finally, there are 2 pints in quart, so that gives us 3 quarts. Add those last three quarts and we get 28 quarts in all.

Total quarts when you mix 5 gallons 5 quarts and 6 pints is, 28 quarts

We have to given that,

To find total quarts if you mix 5 gallons 5 quarts and 6 pints.

Since, 1 gallon = 4 quarts

Hence, 5 gallons = 5 x 4 = 20 quarts

And, 1 pints = 1/2 gallons

Hence, 6 pints = 6/2 gallons

                       = 3 gallons

So, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,

20 + 5 + 3

28 quarts

Therefore, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,

28 quarts.

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Answer:

no, 202 is not evenly divisible by 5

Step-by-step explanation:

Equation of the line passes through (10,2) and is perpendicular to the line y = 2x is given by  y = -x / 2 + 7.

As given in the question,

Given equation of the line :

y = 2x

Line passes through the point (x₁ , y₁ ) = (10, 2)

Standard form of slope intercept form

y = mx + c

'm' is the slope

slope of the given line 'm₁' = 2

let 'm₂' be the slope of the required line

Multiplication of the Slope of two perpendicular lines is given by :

m₁ × m₂ = -1

⇒2 × m₂ = -1

⇒m₂ = -1/2

Equation of the line perpendicular to the given line and passes through

(x₁ , y₁ ) = (10, 2)

y - y₁ = m₂ ( x - x₁ )

⇒ y - 2 = (-1/2) ( x - 10 )

⇒ y = -x / 2 + 7

Therefore, the required equation of the line in slope intercept form is given by  y = -x / 2 + 7 .

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Answer:

  A. True

Step-by-step explanation:

Given two right triangles with marked side and angle, you want to know if they are congruent.

The two triangles are marked as having congruent angles and a congruent side next to the right angle. This is sufficient information to let you claim congruence by the AAS congruence postulate.

The triangles are congruent: TRUE.

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

Step-by-step explanation:

∠DEH=∠IHE (alternate angles)

Answer: bruv what’s the a answer

Step-by-step explanati

Answer:

91%

Step-by-step explanation:

Answer:

91%

Step-by-step explanation:

Count the white blocks: 9

and subtract them from the blue blocks: 100 - 9 = 91%

Answer:

im on it:) gimme a quick sec and ill come back and edit

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer:

D

Step-by-step explanation:

Prob D 4 - 2y

Answer: \(x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4(-3)(6)}}{2(-3)}\)

Step-by-step explanation:

a = -3 , b = -2, and c = 6.

The correct substitution of the values a, b, and c from the equation 0=-3x² - 2x + 6 into the quadratic formula is

x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).

The correct option is A.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

To use the quadratic formula with the equation 0=-3x² - 2x + 6, we need to substitute the values of a, b, and c into the formula.

In this case, we have:

a = -3

b = -2

c = 6

Substituting these values into the quadratic formula, we get:

x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3))

Simplifying this expression, we get:

x = (2 ± √(4 + 72)) / (-6)

x = (2 ± √76) / (-6)

We can simplify further by factoring out the square root of 4 from the radical:

x = (2 ± 2√19) / (-6)

Therefore, the required value of x is x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).

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The additional acres that the parks occupy will be 33.75 acres.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, the additional acres that the parks occupy will be:

= (12.5 × 3) - 3.75

= 33.75 acres.

Note that the information is incomplete and the complete information is given below.

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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres

The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?

Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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Answer:

2.4

Step-by-step explanation:

The formula you would use is: A = P(1 + rt)

P is the principal which is $270

r is the interest rate

t is the time in years but we have 11 days so 11/360

A is $19.8

let's put the values in the formula

$289.9= $270(1 + r*(11/360))

you will find the r is 2.4

Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

The sum of 6 times a number and 4 equals 5

The sum (+) of 6 times (multiply by 6) a number (x) and 4 equals (=) 5

6 times (multiply by 6) a number (x) + 4 = 5

6x + 4 = 5

6x = 5 - 4

6x = 1

x = 1/6

Answer:

6(x+4) = 5

=> 6x + 24 = 5

=> 6x= -19

=> x = -19/6

=> x = -3.16666

Lets subtitute the value of x for proof

6(x+4)

6(-3.16666+4)

-18.999996+24

= 5.00004~ 5.00