What is the volume of a container of 4 moles of gas at 200k with a pressure of 3 atm

After multiplication of pair of complex numbers, the results of product are respectively 45, 41, 73

The complex number is a combination of real number and imaginary number. The representation of complex number is like, a + bi.

where a is real part and b is imaginary part, the value of i is √-1.

i × i = -1

i⁴ = 1

Given that, pair of complex numbers

(6 +3i )×( 6 - 3i) =  6×6 -6×3i + 6×3i - (3i × -3i)

                         = 36 - 18i + 18i + (-3i × 3i)

                         =  36 + 9

                         =  45

(4-5i) × (4+5i)   =  4×4 + 4×5i - 4×5i - (5i × -5i)

                        = 16 - 20i + 20i + (-5i × 5i)

                        = 16+25

                        = 41

(-3+8i) × (-3-8i) = -3×-3 + (-3× -8i) - 3×8i + (8i × -8i)

                        = 9 +24i-24i +64

                        =  73

Hence, The result of products are 45, 41, 73

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Answer: (6 + 3i)(6 − 3i) = 45, (4 − 5i)(4 + 5i) = 41, (−3 + 8i)(−3 − 8i) = 73

Step-by-step explanation:

The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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Answer:

CE = 21.2

Step-by-step explanation:

CE = CD + DE = 14 + 7.2 = 21.2

Answer:

Give me a second, I just finished answering it, and trying to find a way to take a picture of it and send it to you.

Step-by-step explanation:

Answer:

Stadium - 754

Field permiter times 2 - 679

So Fantasia is correct.

Step-by-step explanation:

Answer:

754

679

Fantasia

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

P = (x% * y)

P = (5% * 240)

p = 5/100 = 0.05

P = (0.05 * 240)

P = 12

Answer:

12%

Step-by-step explanation:

5 percent *240

= (5/100)*240

= (5*240)/100

= 1200/100 = 12

theres no answer for it

Answer:55

Step-by-step explanation:

(a) the required monthly loan payment on the car is approximately $528.23, (b)your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment, (c)it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.

(a) The required monthly loan payment on the car can be calculated using the formula for the monthly payment on a loan. Given a car loan of $28,000, financed at an interest rate of 0.50% per month for 60 months, the monthly payment can be determined using the following formula:

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

Plugging in the values, we have:

Monthly Payment = (28000 * 0.005) / (1 - (1 + 0.005)^(-60))

Calculating this, the required monthly loan payment on the car is approximately $528.23.

(b) After making the 24th monthly payment, your friend still owes a remaining balance on the car loan. To calculate this, we need to determine the remaining balance based on the number of payments made and the original loan amount. We can use the formula:

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

Plugging in the values, we have:

Remaining Balance = 28000 * (1 + 0.005)^24 - (528.23 * ((1 + 0.005)^24 - 1) / 0.005)

Calculating this, your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment.

(c) If your friend decides to pay $100 more each month after the 24th payment, we can calculate the number of months it will take her to pay off the remaining loan balance. Using the increased monthly payment, we can calculate the new remaining balance and divide it by the increased monthly payment to determine the number of months needed to pay off the loan.

New Remaining Balance = Remaining Balance - (Monthly Payment + Additional Monthly Payment) * ((1 + Monthly Interest Rate)^Number of Payments - 1) / Monthly Interest Rate

Number of Months = New Remaining Balance / (Monthly Payment + Additional Monthly Payment)

Plugging in the values, we have:

New Remaining Balance = 17,833.86 - (528.23 + 100) * ((1 + 0.005)^x - 1) / 0.005

Number of Months = New Remaining Balance / (528.23 + 100)

By solving the equation, it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.

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The differential equation for the balance B in an investment fund with time, t, measured in years A) dB/dt= 0.05B - 11,000.

To write a differential equation for the balance B in an investment fund with time, t, measured in years, we can use the following information:

- The balance is earning interest at a continuous rate of 5% per year
- Payments are being made out of the fund at a continuous rate of $11,000 per year

Let's start by considering the interest earned on the balance. At a continuous rate of 5% per year, the interest earned can be expressed as 0.05B (where B is the balance). This represents the rate of change of the balance due to interest.

Now let's consider the payments being made out of the fund. At a continuous rate of $11,000 per year, the payments can be expressed as a constant rate of change of -11,000.

Putting these two rates of change together, we can write the differential equation for the balance B as:

dB/dt = 0.05B - 11,000

This equation represents the balance B as a function of time t, with the rate of change of B being equal to the interest earned (0.05B) minus the payments being made (-11,000) at any given time t.

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The differential equation for the balance B in an investment fund with time, t, measured in years A) dB/dt= 0.05B - 11,000.

To write a differential equation for the balance B in an investment fund with time, t, measured in years, we can use the following information:

- The balance is earning interest at a continuous rate of 5% per year
- Payments are being made out of the fund at a continuous rate of $11,000 per year

Let's start by considering the interest earned on the balance. At a continuous rate of 5% per year, the interest earned can be expressed as 0.05B (where B is the balance). This represents the rate of change of the balance due to interest.

Now let's consider the payments being made out of the fund. At a continuous rate of $11,000 per year, the payments can be expressed as a constant rate of change of -11,000.

Putting these two rates of change together, we can write the differential equation for the balance B as:

dB/dt = 0.05B - 11,000

This equation represents the balance B as a function of time t, with the rate of change of B being equal to the interest earned (0.05B) minus the payments being made (-11,000) at any given time t.

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Answer:

10 small and 20 large

Step-by-step explanation:

Answer:

The answer is 10 small and 20 large

Step-by-step explanation:

First of all times these by the same number and it would equal 600 sorry for leaving y'all to think a little...

According to the question The rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

Let's denote the distance between the police car and the red car as \($d$\), and let \($t$\) represent time. We are given that the distance between the two cars is decreasing at a rate of 75 feet per second, so we can express this

as \($\frac{dd}{dt} = -75$\) ft/s.

Using the Pythagorean theorem, we can relate the distances \($d$, $x$\), and \($y$\), where \($x$\) is the distance traveled by the red car along the highway and \($y$\) is the distance traveled by the red car along the small road. We have \($x^2 + y^2 = d^2$\).

Differentiating both sides of the equation with respect to time \($t$\), we get \($2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2d\frac{dd}{dt}$\).

Since the police car is located 60 feet on the small road perpendicular to the highway, we have \($x = t$\) and \($y = 60$\) . Substituting these values and the given rate of change of \($d$\) , we can solve for  \($\frac{dx}{dt}$\) :

\($2t\frac{dx}{dt} + 2(60)\frac{dy}{dt} = 2(90)(-75)$\)

\($2t\frac{dx}{dt} = -2(90)(-75) - 2(60)\frac{dy}{dt}$\)

\($2t\frac{dx}{dt} = 2(90)(75) - 2(60)(0)$\)

\($2t\frac{dx}{dt} = 2(90)(75)$\)

\($t\frac{dx}{dt} = (90)(75)$\)

\($\frac{dx}{dt} = \frac{(90)(75)}{t}$\)

Therefore, the rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

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Disease spreading formula

Where d = number of days

Now, we need to calculate the value of P for the different days

Day 1

P = 6*(1)+5 = 11%

Day 2

P = 6*(2)+5 = 17%

Day 3

P = 6*(3)+5 = 23%

Day 4

P = 6*(4)+5 = 29%

Day 5

P = 6*(5)+5 = 35%

Day 6

P = 6*(6)+5 = 41%

Day 7

P = 6*(7)+5 = 47%

Day 8

P = 6*(8)+5 = 5353%

The disease starts spreading from day 1 and continues to increase day after day in a linear fashion. After day 8 there is no cure for the disease as it exceeds 50%.

Answer:

y=1x

Step-by-step explanation:

theirs no b because it goes through (0,0)

to find slope you do 2-4 over 2-4 and it equals 1

hope this helps:)

The best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n²). This is because each of the n bits of a number x must be multiplied by each of the n bits of a number y, resulting in a total of n² multiplications.

Even with the most efficient algorithms, there is no way to avoid performing each of these multiplications, leading to a complexity of O(n²). While some algorithms may have lower constant factors or improved optimizations, they cannot fundamentally change the nature of the problem at hand. Therefore, any algorithm that performs the multiplication of two n-bit numbers must have a complexity of at least O(n²).

However, there are certain techniques and optimizations that can be used to improve the efficiency of the algorithm and reduce the constant factors involved. These include techniques like Karatsuba multiplication and Fast Fourier Transform, which can reduce the number of multiplications needed to perform the operation, thereby improving the overall performance of the algorithm.

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Answer:

This (x - 5) represents the length of the rectangle.

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is A = L * W.

Here, the width is x - 4 and the area is x^2 + x - 20.  Dividing the width (x - 4) into the area results in an expression for the length:

x - 4  /   x^2 + x - 20

Let's use synthetic division here.  It's a little faster than long division.

If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:

4   /   1    1    -20

              4     20

    --------------------

         1     5     0

This synthetic division results in a remainder of 0.  This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor.  From the coefficients 1 and 5 we can construct the other factor:  (x - 5).  This (x - 5) represents the length of the rectangle.

How does cellular respiration help maintain homeostasis in animals?

Answer: Cellular respiration helps animals maintain homeostasis by breaking down glucose to produce ATP, which is the energy currency of the cell. ATP is necessary for many cellular processes that help maintain homeostasis such as active transport and protein synthesis.

Explain why cells separate and expel waste.

Answer: Cells separate and expel waste to prevent the accumulation of toxic substances that can disrupt cellular function and lead to disease. The waste products are transported out of the cell and into the bloodstream where they are filtered and excreted by organs such as the kidneys.

Why do cells in organisms such as animals reproduce?

Answer: Cells in organisms such as animals reproduce to replace damaged or dying cells, and to enable growth and development. Reproduction ensures that the organism maintains the proper balance of cells and that there is enough tissue to perform necessary functions.

Explain how plant cells use photosynthesis to maintain homeostasis?

Answer: Plant cells use photosynthesis to maintain homeostasis by converting light energy into chemical energy in the form of glucose. This glucose is then used to produce ATP, which is necessary for cellular processes such as active transport and protein synthesis. Additionally, plants use photosynthesis to produce oxygen, which is necessary for respiration.

I hope this helps :)

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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Answer: B.

Explanation and reasoning:

Answer:

798

Step-by-step explanation:

Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes

The actual width of the real igloo is 14 feet.

A ratio scale is simply a quantitative scale where there is a true zero and equal intervals between neighboring points.

The given scale tells us that 1 inch on the model igloo represents 2 feet on the real igloo.

If the scale of the model igloo is 1 inch to 2 feet, then we can use this ratio to convert the width of the model igloo (7 inches) to the width of the real igloo:

= 7 inches × 2 feet/inch

= 14 feet

Therefore, the width is 14 feet

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Answer:

£3.96

Step-by-step explanation:

Data obtained from the question include:

Isaac's ratio = 2

Victoria's ratio = 5

Total ratio = 2 + 5 = 7

Amount Victoria recieve = £6.60.

Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:

Let T be the total amount of money shared.

Victoria received = £6.60

Victoria's share =

Victoria's ratio/total ratio x total amount

£6.60 = 5/7 x T

£6.60 = 5T/7

Cross multiply

5T = £6.60 x 7

5T = £46.2

Divide both side by 5

T = £46.2/5

T = £9.24

Therefore, the total amount shared is £9.24.

Next, we shall determine the amount received by Isaac. This is illustrated below:

Victoria's share = £6.60

Total amount shared = £9.24.

Isaac's share =?

Isaac's share = Total amount shared – Victoria's share

Isaac's share = £9.24 – £6.60

Isaac's share = £2.64

Therefore, Isaac received £2.64

Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:

Victoria recieve = £6.60

Isaac receive = £2.64

Difference = £6.60 – £2.64

Difference = £3.96

Therefore, the difference in the amount received by Victoria and Isaac is £3.96

58º + 56º = 114º

180º - 114º = 66º

Answer:

\(m=\frac{-3}{-7}\)

Step-by-step explanation:

Given the following question:

Point A = (4, 8) = (x1, y1)
Point B = (-3, 5) = (x2, y2)

In order to find the slope any two points given we use the formula to find slope or rise/run.

\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{5-8}{-3-4} =\frac{-3}{-7}\)
\(m=\frac{-3}{-7}\)

The reason why the students answer is incorrect because he substituted incorrectly. More specifically the run part of the formula for slope. The formula for slope goes x2 - x1 which means it should be -3 - 4, not -4 - 3, which will give you the answer -7.

Hope this helps.

Among the given statements, statement b) is true. Standardizing the variables will indeed result in a correlation of 0.

a) The statement "A correlation of 0.02 indicates a strong positive association" is false. The magnitude of the correlation coefficient (r) does not indicate the strength of the association. In this case, a correlation of 0.02 suggests a weak association, and since the correlation coefficient is positive, it indicates a positive linear relationship between the variables.

b) The statement "Standardizing the variables will make the correlation 0" is true. Standardizing the variables involves transforming them into z-scores, which have a mean of 0 and a standard deviation of 1. When variables are standardized, the correlation coefficient between them becomes 0 because the variability in both variables has been accounted for by converting them to z-scores.

c) The statement "Adding an outlier can dramatically change the correlation" is true. Outliers can have a significant impact on the correlation coefficient. Since the correlation measures the strength and direction of the linear relationship between variables, if an outlier has a large deviation from the general trend of the data, it can influence the correlation and potentially change its magnitude and even its direction.

Therefore, the correct answer is: b) The statement is true. Standardizing the variables will make the correlation 0.

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Answer:

true for all x

Step-by-step explanation:

3x - 4 ≤ 2

Add 4 to each side

3x - 4+4 ≤ 2+4

3x<6

Divide by 3

3x/3 <6/3

x<2

or

2x + 11 ≥ -1

Subtract 11 from each side

2x + 11-11 ≥ -1-11

2x≥ -12

Divide by 2

2x/2 ≥ -12/2

x  ≥ -6

x<2  or x  ≥ -6

true for all x

Answer: \(20,706\ m^3\)

Step-by-step explanation:

Given

The warehouse has the following dimension

Height is \(h=8\frac{1}{2}\ m\)

\(h=\dfrac{17}{2}\ m\)

Length is \(l=120\ m\)

Width is \(w=20\frac{3}{10}\ m\)

\(w=\dfrac{203}{10}\ m\)

Volume of the warehouse is the product of height, length and width

\(\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3\)

Therefore, the length of the warehouse is \(20,706\ m^3\).