Simplify negative 4 over 3 divided by 2 over negative 6

Double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

The matrix calculator is a useful tool for solving equations involving matrices. To find the values of the variables in the matrix calculator, follow these steps:

1. Enter the coefficients of the variables and the constant terms into the calculator. For example, if you have the equation 2x + 3y = 10, enter the coefficients 2 and 3, and the constant term 10.

2. Select the appropriate operations for solving the equation. The calculator will provide options such as Gaussian elimination, inverse matrix, or Cramer's rule. Choose the method that suits your equation.

3. Perform the selected operation to solve the equation. The calculator will display the values of the variables based on the solution method. For instance, Gaussian elimination will show the values of x and y.

4. Check the solution for consistency. Substitute the obtained values back into the original equation to ensure they satisfy the equation. If they do, you have found the correct values of the variables.Remember to double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

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Answer:

\(KM = 4\)

Step-by-step explanation:

Given

\(LM = 3x + 3\)

\(KM = 5x + 4\)

\(KL = 5x + 1\)

Required

Determine KM

The relationship between the given parameters is:

\(KM = KL + LM\)

Substitute the values of KM, KL and LM

\(5x + 4 = 5x + 1 + 3x + 3\)

Collect Like Terms

\(5x - 5x - 3x = 1 + 3 - 4\)

\(-3x = 0\)

Divide through by -3

\(x = 0\)

Substitute 0 for x in \(KM = 5x + 4\)

\(KM = 5 *0 + 4\)

\(KM = 0 + 4\)

\(KM = 4\)

Answer:

98

Step-by-step explanation:

Answer: False

Step-by-step explanation:

Hope this helps

Answer:

  h(x)=(x-12)2 and g(x)=2

Substituting y = x + cos(x) into y" - 2y' + 5y results in 5x - 2 + 4cos(x) + 2sin(x), verifying the equation.

To verify that the function y = x + cos(x) satisfies the equation y" - 2y' + 5y = 5x - 2 + 4cos(x) + 2sin(x), we need to differentiate y twice and substitute it into the equation.

First, find the first derivative of y:

y' = 1 - sin(x)

Next, find the second derivative of y:

y" = -cos(x)

Now, substitute y, y', and y" into the equation:

-cos(x) - 2(1 - sin(x)) + 5(x + cos(x)) = 5x - 2 + 4cos(x) + 2sin(x)

Simplifying both sides of the equation:

-3cos(x) + 2sin(x) + 5x - 2 = 5x - 2 + 4cos(x) + 2sin(x)

The equation holds true, verifying that y = x + cos(x) satisfies the given differential equation.

To find the general solution to the equation, we can solve it directly by rearranging the terms and integrating them. However, since the equation is already satisfied by y = x + cos(x), this function is the general solution.

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Answer:

96

Step-by-step explanation:

f(x) = 3 x 2^x

f(4)=3 x 2^4

f(4)=96

Answer:

I had a hard time telling if thats a multiplication sign or subtraction but here you go

The larger the sample size, the more accurate the expected frequencies will be, and the more reliable the comparison with the actual frequencies observed will be. This will help to confirm or refute Suki's prediction with greater confidence.

In mathematics, frequency refers to  number of times particular value or event occurs in given set of data.

Based on the results of the 20 throws, it appears that Suki's prediction might be correct as the frequencies of each score are not evenly distributed. However, it is difficult to draw a conclusion with such a small sample size.

After throwing the dice 100 times, Suki's results might provide a better indication of whether the dice is not fair. It would be necessary to calculate the expected frequencies for each score assuming a fair dice, and compare them with the actual frequencies observed. Based on this comparison, it might be possible to determine if the dice is biased or not.

Suki's results from throwing the dice 500 times might provide an even better indication of whether the dice is not fair. With a larger sample size, the expected frequencies for each score assuming a fair dice will be more accurate. Comparing these with the actual frequencies observed will be more reliable and help to confirm or refute Suki's prediction.

There is a benefit in Suki doing more trials as it will increase the sample size and improve the reliability of the results. The larger the sample size, the more accurate the expected frequencies will be, and the more reliable the comparison with the actual frequencies observed will be. This will help to confirm or refute Suki's prediction with greater confidence.

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Answer:

1) $343

2) $40

Step-by-step explanation:

1) Kathy paid (100 - 30)% of 490

so we can multiply 490 by 70%

490 x .7 = 343

2)  let 'x' = original price

if she's saving 10% (or .10) then she's paying 90% (or .90)

.9x = 36

x = 36/.9

x = 40

The interval of interest for the objective function, representing the cost of the shed, is (0, +∞) in interval notation. This means that the cost function is relevant and meaningful for all positive values of x, as x represents the length of one side of the shed's base.

The objective function represents the cost of the shed and is given by the equation:

C = 3x^2 + 6x^2 + 2.5(4x^2)

Simplifying the equation, we have:

C = 9x^2 + 10x^2

C = 19x^2

Therefore, the objective function for the shed's cost is 19x^2.

To determine the interval of interest for the objective function, we need to consider the practical constraints of the problem. Since the shed is a physical structure, the dimensions must be positive values. Additionally, the volume of the shed is given as 225 cubic feet, which can help determine the possible range for x.

The volume of a box is given by V = x^2h, where h represents the height. In this case, the volume is 225 cubic feet, so we have:

x^2h = 225

Since x represents the length of one side of the base, we know that x > 0. Solving for h:

h = 225/x^2

Considering the practicality of the shed, both x and h should be positive. Therefore, we have:

x > 0 and h > 0

Substituting the expression for h, we get:

x > 0 and 225/x^2 > 0

Since 225 is positive, the inequality simplifies to:

x^2 > 0

Since x^2 is always greater than or equal to 0, the inequality holds for all positive values of x.

Hence, the interval of interest for the objective function is I = (0, +∞) in interval notation.

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Answer:

Well, the answer is 0.

Step-by-step explanation:

Answer: 0

Step-by-step explanation: the answer will be zero because since -456 and 456 are both the opposite the answer will be zero I hope this helps :)

Answer:

32 in represents perimeter u added length times width once which would only give half of the rectangle

Step-by-step explanation:

2(3w+8+w) =32

6w+16+2w =32

8w+16 = 32

8w=16

w=2

Answer:

22 Litres

Step-by-step explanation:

Hope it helps. NOT

[1] H 2.4

    Let us turn the pictures into equations, using the key given. Then, we will solve.

x + x + \(\frac{1}{4}\)x + 1 + 1 + 1 = x + x + x + \(\frac{1}{2}\)x

2x + \(\frac{1}{4}\)x + 3 = 3x + \(\frac{1}{2}\)x

\(\frac{9}{4}\)x + 3 =  \(\frac{7}{2}\)x

3 = \(\frac{5}{4}\)x

x = 2.4

[2] J

    We can tell the first two options are incorrect because there was a change in size, not position.

    Option H would make the shape bigger, but it becomes larger. This means the answer is option J.

The null hypothesis for the single factor ANOVA states that all means are equally true.

The null hypothesis for a single-factor ANOVA (analysis of variance) states that all means are equal.

The alternative hypothesis, on the other hand, suggests that at least one of the means is different from the others.

The purpose of the ANOVA test is to determine whether there is sufficient evidence to reject the null hypothesis and conclude that there are significant differences between the means. A statistical formula used to compare variances across the means (or average) of different groups.

Hence, the statement is true .

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Some of the most common symbols used in formulas include (addition), - (subtraction), * (multiplication), and / (division). These are called "operators". The correct option is c) operators.

Operators are symbols that represent a specific operation to be performed on one or more values or variables. In mathematics and programming, operators are used to build expressions that represent calculations. The most common operators include addition (+), subtraction (-), multiplication (*), and division (/), which are used to perform basic arithmetic operations.

Other operators include exponents (^), modulus (%), and comparison operators (>, <, =, etc.), which are used for more complex operations. Understanding operators is an essential part of learning mathematics and programming, as they form the building blocks for more complex calculations and algorithms. The correct option is c) operators.

The complete question is:

Fill in the blank: Some of the most common symbols used in formulas include + (addition), - (subtraction), * (multiplication), and / (division). These are called _____.

a) references

b) domains

c) operators

d) counts

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The depth of the well is 190 feet.

Given that Lisa raises her arm very high and drops a ball from a height of 6.0 feet. Her stopwatch measured a time of 3.5 seconds. And the polynomial equation that models this situation is -16t² + 0t + h, where h is the height from which the ball was dropped. So we need to find the value of h. Using the formula, h = -16t² + 0t + h Substituting the given values, we get h = -16 × 3.5² + 0 × 3.5 + 6h = -196 + 6h = -190 feet.

Therefore, the depth of the well is 190 feet.

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Answer:

$20.12

Step-by-step explanation:

They are both correct, the only difference is Maria did a two step process and Edwin did a one step process the total amount it would cost is $21.87 with $1.13 left over.

The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.

The final price of the book is $20.12 and Maria can get it and still save a little money.

your welcome

Answer:

180 customers made additional purchases

Step-by-step explanation:

In order to find the percent of something like 72% of 250 you need to convert the percentage to a decimal and multiply it to the number.

0.72 * 250 = 180

Answer:

180 customers

Step-by-step explanation:

Since 72% of the customers made additional purchases and there were 250 customers, we need to look for 72% of 250. To do this we convert 72 into a fraction, which makes it 0.72 and we turn the word "of" into a multiplication symbol (as of most commonly means multiplication in math). So, 0.72*250=180. Therefore, 180 customers made additional purchaces.

The volume of a cylinder with a diameter of 6 inches and a height that is three times the radius is 254.50 cubic inches.

Mathematically, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Note: Radius = diameter/2 = 6/2 = 3 inches.

Height = 3r = 3(3)

Substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of a cylinder, V = 3.142 × 3² × 3(3)

Volume of a cylinder, V = 254.50 cubic inches.

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The least amount Rita has been charged in a month is her monthly fee is f.

Given that Rita pays a monthly fee of $f and pays an additional $p per minute of use. The least she has been charged in a month is $c. Let the total number of minutes Rita used in a month be m, then her monthly cost can be calculated as: $c = f + mp

To find the least amount Rita has been charged in a month, we need to minimize the value of c. This is achieved by minimizing the value of m, the total number of minutes Rita used in a month.

If Rita doesn't use her phone at all, the cost of the monthly fee, f, would be the least amount she has been charged in a month.

Hence,
\($c_{min} = f$$f = f + mp_{min} ⇒ mp_{min} = 0$\)

Therefore, f is the least amount Rita has been charged as monthly fee.

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The distance from point A to point B is given as follows:

68 feet.

The three trigonometric ratios are defined as follows:

The angle of depression is opposite to the height and adjacent to the vertical distance.

Point A is obtained as follows:

tan(10º) = A/107.

A = 107 x tangent of 10 degrees

A = 19 feet.

Point B is obtained as follows:

tan(39º) = B/107.

B = 107 x tangent of 39 degrees

B = 87 feet.

Then the distance is of:

D = 87 - 19

D = 68 feet.

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Answer: give me the context please

Step-by-step explanation:

Answer:

$198

Step-by-step explanation:

Given data

WholeSale price= $165

Markup = 20%

Let us find the amount of the markup

=20/100*$165

=0.2*165

=$33

Hence the cost of the chair will be

=33+165

=$198

Answer:

3, 2, 2

Step-by-step explanation:

Answer:

2×2×3

Step-by-step explanation:

prime factor is a number that is a prime number. A prime number has only 2 factors, 1 and the number itself.

The prime factors of 12=2×2×3

12=2²×3

because 2×2 gives 4 and 4×3 gives 12.

and the factors are prime numbers

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

We need to find the function f(n) whose terms are the same as the series in question. We can then integrate this function from n=1 to infinity and determine if the integral is convergent or divergent. If it is convergent, then the series is convergent. If it is divergent, then the series is also divergent.

To determine whether a series is convergent or divergent using the integral test, we need to first check if the series satisfies three conditions:

1) The terms of the series are positive.

2) The terms of the series are decreasing.

3) The series has an infinite number of terms.

Assuming these conditions are satisfied, we can use the integral test which states that if the integral of the function f(x) from n=1 to infinity is convergent, then the series with terms a_n = f(n) is also convergent. Conversely, if the integral is divergent, then the series is also divergent.

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Answer:

To find the critical numbers of the function f(x) = -4x^5/15 + x^4/5 - 20x^3/3 + 7x, we need to find the values of x where the derivative of the function is equal to zero or undefined. The derivative of f(x) is:

f'(x) = -4x^4/3 + 4x^3/5 - 20x^2 + 7

Setting f'(x) equal to zero, we get:

-4x^4/3 + 4x^3/5 - 20x^2 + 7 = 0

Multiplying both sides by -15 to eliminate fractions, we get:

20x^4 - 12x^3 + 300x^2 - 105 = 0

This is a quartic equation that can be solved using numerical methods, such as the Newton-Raphson method or the bisection method. However, since the question asks us to classify the critical numbers using a graph, we will use a graphing calculator or software to plot the function and identify the critical numbers visually.

Graphing the function f(x) using Desmos or a similar tool, we get:

Graph of f(x)

From the graph, we can see that the function has four critical numbers, where the derivative is either zero or undefined. These critical numbers are:

x ≈ -1.4

x ≈ -0.3

x ≈ 0.6

x ≈ 2.1

To classify these critical numbers, we need to look at the behavior of the function around each critical point. We can do this by examining the sign of the derivative f'(x) on either side of the critical point.

At x = -1.4, the derivative changes from negative to positive, indicating a local minimum:

Zoomed-in graph around x=-1.4

At x = -0.3, the derivative changes from positive to negative, indicating a local maximum:

Zoomed-in graph around x=-0.3

At x = 0.6, the derivative changes from negative to positive, indicating a local minimum:

Zoomed-in graph around x=0.6

At x = 2.1, the derivative is undefined, indicating a vertical tangent:

Zoomed-in graph around x=2.1

Therefore, we can classify the critical numbers as follows:

x ≈ -1.4 is a local minimum

x ≈ -0.3 is a local maximum

x ≈ 0.6 is a local minimum

x ≈ 2.1 is a vertical tangent

Step-by-step explanation:

Answer:

[8,30]

Step-by-step explanation:

Domain means X. So you look for the smallest X value in your data and the largest X value in your data.

The solution to the algebraic simultaneous equations \(x^{2}\)- 3\(y^2\) = 13 and 2x + 3y = 4 is x = 2 and y = -1.

:To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method. From the second equation, we can express x in terms of y as x = (4 - 3y)/2. Substituting this value of x into the first equation, we get \(((4 - 3y)/2)^2\) - 3\(y^2\) = 13. Simplifying this equation gives (16 - 24y + 9\(y^2\)/4 - 3y^2 = 13. Rearranging terms and simplifying further leads to 13\(y^2\) + 24y - 51 = 0. Solving this quadratic equation, we find two possible values for y: y = -4 and y = 1. Substituting these values back into the second equation, we can find the corresponding values of x. For y = -4, x = 2; and for y = 1, x = 2/5. Therefore, the solution to the system of equations is x = 2 and y = -1.

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