. Find the equation of line parallel to 3x-2y = 5 though the point (-3,3)

Answer:

81

-125

Step-by-step explanation:

Step-by-step explanation:

8x-2=46

collect like terms

8x=46+2

8x=48

Divide both sides by 8

8x÷8=48÷8

x=6

The value of the equation in the simplified form is A = A = ab²( 24√72 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 6√3ab

Let the second number be q = 4√24ab³

On simplifying the equation , we get

A = p x q

A = 6√3ab x 4√24ab³

A = √a²b⁴ ( 24√72 )

On further simplification , we get

A = ab²( 24√72 )

Hence , the simplified equation is A = ab²( 24√72 )

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Answer:

Step-by-step explanation:

Let length of the garden be ' x + 10 '

Let breath of the garden be ' x '

Area of the garden = 264 ft²

Now, let's find the breath of the garden 'x'

\(x(x + 10) = 264\)

Distribute X through the parentheses

\( {x}^{2} + 10x = 264\)

Move constant to left and change its sign

\( {x}^{2} + 10x - 264 = 0\)

Write 10x as a difference

\( {x}^{2} + 22x - 12x - 264 = 0\)

Factor out X from the expression

\(x(x + 22) - 12x - 264 = 0\)

Factor out -12 from the expression

\(x(x + 22) - 12(x + 22) = 0\)

Factor out X +22 from the expression

\((x + 22)(x - 12) = 0\)

When the products of factors equals to 0 , at least one factor is 0

\(x + 22 = 0\)

\(x - 12 = 0\)

Solve for X

\(x + 22 = 0\)

\(x = 0 - 22\)

\(x = - 22\)

Again,

\(x - 12 = 0\)

\(x = 0 + 12\)

\(x = 12\)

(The dimensions can't be negative. )

So, width = 12 ft

Now, let's find the length of the garden ' X + 10 '

\(x + 10\)

Plug the value of X

\(12 + 10\)

Calculate the sum

\( = 22 \: ft\)

Therefore,

Hope this helps..

Best regards!

Answer: Cynthia will receive $5,400, Moses will receive $8,100, John will receive $13,500

Step-by-step explanation:

       First, we will see how many "portions" the money is broken up into.

2:3:5 can become 2 + 3 + 5 = 10

       Next, we will see how much money each "portion" is worth using division.

$27,000 / 10 = 2,700

       Finally, we will multiply to see how much each person will receive.

2:3:5

2 * $2,700 = $5,400 [Cynthia]

3 * $2,700 = $8,100 [Moses]

5 * $2,700 = $13,500 [John]

Answer:

Cynthia's money = $5,400

Moses' money = $8,100

John's money = $13,500

Step-by-step explanation:

The full ratii of the money will be 2+3+5 = 10

Cynthia's ratio = 2 × $27,000

10

= 2 × 2,700

= $5400

Moses' ratio = 3 × $27,000

10

= 3 × 2,700

= $8100

John's ratio = 5 × $27,000

10

= 5 × 2,700

= $13,500

Answer: Talk the Talk. Once a linear equation is solved for y, it is in slope-intercept form, y = mx + b. The coefficient of the x term, m, is the slope of the line and the number (or constant), b, is the y-intercept.

Step-by-step explanation: want it take it don’t want it dont take it

Answer:

2ln5 + ln4 + ln5

Step-by-step explanation:

Think about how we can write 500 in terms of 4 and 5.

\(500 = 5^2*(4*5)\)

So ln(500) can be written as ln(5^2*4*5)

Using log rules \(log_b(x*y)=log_b(x)+log_b(y)\\logb(x^a)=a*log(x)\)

we can rewrite ln(500) to 2ln5 + ln4 + ln5

The statement "if s is a linearly dependent set, then each vector is a linear combination of the other vectors in s" is false.

A vector set's linear independence is an important attribute. If no vector in a set can be written as a linear combination of the other vectors in the set, the set is said to be linearly independent. The set is said to be linearly dependent if any of the vectors can be represented as a linear combination of the others.

If S is a linearly dependent set, then each vector in S is a linear combination of the others.

This is false.

For example, v₁ = (1,0), v₂ = (2,0), and v₃ = (1,1). Then v₂ = 2v₁ but v₃ is not a linear combination of v₁ and v₂, since it is not a multiple of v₁. But 2v₁ - 1v₂ + 0 v₃ = 0.

If an indexed set of vector S is linear dependent, then it is only necessary that one of the vectors is in the set.

Hence, the correct answer would be option (B).

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Answer:

x=166

Step-by-step explanation:

180-14= 166

x=166

The value of the given expression (x² + 9y² + 4z² - 6xy + 12yz -4zx) when x = -2, y = -3, and z = -4 is equal to 32.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Given the following variables:

Substituting the given variables into the given expression, we have;

Expression = x² + 9y² + 4z² - 6xy + 12yz -4zx

Expression = (-2)² + 9(-3)² + 4(-4)² - 6(-2)(-3) + 12(-3)(-4) -4(-4)(-2)

Expression = 4 + 9(9) + 4(16) - 36 + 144 - 32

Expression = 4 + 81 + 64 - 36 + 144 - 32

Expression = 32.

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Complete Question:

What is the value of x² + 9y² + 4z² - 6xy + 12yz -4zx. If x = -2, y = -3, and z = -4?

Answer:

B

Step-by-step explanation:

I would say make a quick table for each:

black:

Y     I    X

-2         4

-1         -2, 3.5

0         -.75, 3

1           .75, 2.5

2         2

Red:

Y     I    X

-2         2

-1         -1, 1.75

0         -.25, 1.5

1           .25, 1.25

2         1

The x's are almost half in the red as in the black graph.

Thinking logically you can see that the Y points stay the same so you can rule out C and D, and since the graph got smaller not bigger dividing by two will give the graph not multiplying.

Answer:

The answer is letter A

Step-by-step explanation:

y=f(2x)

The relative error of the measurement cannot be determined without a reference value or known value.

The relative error is a measure of the accuracy or precision of a measurement compared to a known or expected value. It is calculated by finding the absolute difference between the measured value and the reference value, and then dividing it by the reference value. However, in this case, we are only given the measurement "2.0 mi" without any reference or known value to compare it to.

To calculate the relative error, we would need a reference value, such as the true or expected value of the measurement. Without that information, it is not possible to determine the relative error accurately.

For example, if the true or expected value of the measurement was known to be 2.5 mi, we could calculate the relative error as follows:

Measured Value: 2.0 mi

Reference Value: 2.5 mi

Absolute Difference: |2.0 - 2.5| = 0.5 mi

Relative Error: (0.5 mi / 2.5 mi) * 100% = 20%

In this case, the relative error would be 20% indicating that the measurement deviates from the expected value by 20%.

However, without a reference value or known value to compare the measurement to, we cannot accurately calculate the relative error.

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Answer:

solutions at -1 and 11

Step-by-step explanation:

(-b ± √b²-4ac) / 2a

in this problem, a = 1, b = -10, c = -11

(10±√100-4(-1)(-11)) / 2(1) =

(10 + √144) / 2 = 22/2 = 11

(10 - √144) / 2 = -2 / 2 = -1

The statement that the normal distribution is bimodal is not true. The normal distribution is a unimodal distribution, meaning it has only one mode. It is symmetric around the mean, and the mean, median, and mode are all equal.

Additionally, the normal distribution is asymptotic, meaning that the tails of the distribution approach but never touch the horizontal axis. The normal distribution is a bell-shaped curve that is widely used in statistics and probability theory to describe real-world phenomena such as the heights of people, test scores, and IQ scores. The properties of the normal distribution make it a useful tool for modeling data, making predictions, and conducting hypothesis tests.

By understanding the normal distribution, statisticians and data analysts can better understand the patterns and trends in their data and make informed decisions based on that understanding.

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Answer:

277,235.23

Step-by-step explanation:

You have to round to the nearest 0.01 or you can call it the Hundredths Place.

The magnitude of the expected shortfall at a 95% confidence level is not provided. Please provide the necessary information to calculate the expected shortfall.

The expected shortfall at a specific confidence level, we need additional information, such as the distribution of returns or loss data. The expected shortfall, also known as conditional value-at-risk (CVaR), represents the average value of losses beyond a certain threshold.

Typically, the expected shortfall is calculated by taking the average of the worst (1 - confidence level) percent of losses. However, without specific data or parameters, it is not possible to determine the magnitude of the expected shortfall at a 95% confidence level.

To calculate the expected shortfall, we would need a set of data points representing returns or losses, as well as a specified distribution or methodology to estimate the expected shortfall. Please provide the necessary details so that the expected shortfall can be calculated accurately.

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The number you should pick is 7

To determine the best number to pick, we need to analyze the probabilities of rolling each possible sum.

The 6-sided dice can produce numbers from 1 to 6, and the 10-sided dice can produce numbers from 1 to 10. The maximum possible sum is 6 + 10 = 16.

We can calculate the probabilities of each sum by considering all the possible combinations of numbers on the dice.

Here is a table showing the sums and their corresponding probabilities:

Sum  Probability

2      1/60

3     2/60

4          3/60

5     4/60

6     5/60

7     6/60

8     5/60

9     4/60

10     3/60

11     2/60

12      1/60

13-16 0

To determine the best number to pick, we need to consider the probabilities of winning for each sum. The higher the probability, the better chance of winning.

By examining the probabilities, we can see that the sums with the highest probabilities are 7  with a probability of 6/60 or 1/10.

Therefore, if you want to maximize your chances of winning, you should pick 7 as your guess.

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Answer:

3

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Here we will show you how to calculate 6 divided by 3/8. We will give you the answer in fraction form and in decimal form.

Here is 6 divided by 3/8 displayed mathematically in colors:

6

 ÷    

3

8

The numbers in 6 divided by 3/8 are labeled below:

6 = whole number

3 = numerator

8 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 8

3

 =    

48

3

Thus, the answer to 6 divided by 3/8 in fraction form is:

48

3

To make the answer to 6 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

48 / 3 = 16

The answer is rounded to the nearest two decimal points if necessary.

48/3 can be simplified to 16/1.

16/1 is an improper fraction and should be written as 16.

The process to subtract the mixed fractions with the whole numbers is explained below.

The Mixed Fractions are defined as type of fraction that consists of a whole number and a proper fraction.

Step(i) : We multiply whole number by denominator of fraction and add numerator.

For example, if mixed fraction 2(1/3), we multiply 2 by 3 and add 1 to get 7. So, 2(1/3) is equivalent to improper fraction 7/3.

Step(ii) : Find a common denominator for fractions. We find least common multiple (LCM) of denominators.

For example, if you want to subtract 2(1/3) from 5, denominators are 3 and 1, and LCM is 3.

Step(iii) : Convert whole number to a fraction with same denominator as common denominator.

For example, if LCM is 3 and we want to subtract 2(1/3) from 5, we will convert 5 to fraction 15/3.

Step(iv) : Rewrite each fraction with common denominator.

For example, if we want to subtract 2(1/3) from 5, we rewrite 2(1/3) as 7/3 and 15/3 as 5.

Step(v) : Subtract the fractions.

For example, to subtract 7/3 from 5, we subtract numerators and keep the denominator: 15/3 - 7/3 = 8/3.

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Answer:

86 armed robberies

Step-by-step explanation:

Let a represent the number of armed robberies city A experienced and b represent the number of armed robberies city B experienced.

From the first sentence, we know that  a = 2b-18

From the second sentence, we know that a+b=138.

We can solve by substituting the value of a into the second equation to get

(2b-18)+b = 138. Add 18 to both sides and simplify to get 3b = 156. Finally, divide both sides by 3 to get b=52. We can plug this back into the first equation to get a = 2*52 - 18 = 104-18 = 86.

The number of robberies that happened in city A is 86.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, City A experienced 18 armed robberies less than twice that of city B.

Assuming the number of robberies in city B is 'x'.

So, The number of robberies in city B A is,

= 2x - 18.

Also given In two cities combined, 138 armed robberies occurred.

Therefore,

x + 2x - 18 = 138.

3x = 138 + 18.

3x = 156.

x = 52.

So, In city B 52 robberies happened and in A (52×2 - 18) = 86.

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Answer:

another person already got this, but operation

Step-by-step explanation:

The decimal representation of binary number is r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³+ ............... +  1 x 2⁶³

To convert r to decimal representation, we need to use the following formula:

r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³+ ............... +  1 x 2⁶³

In this formula, represents the i-th bit of the binary representation of r, and the exponent represents the place value of that bit. The rightmost bit, or the one with the smallest exponent, has a place value of 2⁰, while the leftmost bit, or the one with the largest exponent, has a place value of  2⁶³

Let's say we have the binary representation 1101. To convert this to decimal, we would use the formula:

r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³

Simplifying this equation, we get:

r = 1 + 0 + 4 + 8

r = 13

So, the decimal representation of the binary number 1101 is 13.

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Complete Question:

Write the number r in decimal representation if the 64-bit binary representation of r by using the Boolean expressions.

Answer:

Step-by-step explanation:

The Domain of a function is the x value, and the Range of a function is the y value. For example, in the ordered pair (9,4) the Domain is 9, or the x value, and the Range is 4, or the y value. So to find the Domain and Range, write ordered pairs for each plotted point on your graph (the dot at the end of each line) and then go through and identify the Domain and Range from there. When you list them, write the numbers in numeric order from least to greatest. Hope this helps!

The volume of the pyramid is approximately 5.9 cm³.

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.

The area of a square is given by the formula:

Area = side length * side length

Substituting the side length, we have:

Area = 1.425 cm * 1.425 cm = 2.030625 cm²

Now, we can calculate the volume of the pyramid:

Volume = (1/3) * base area * height

= (1/3) * 2.030625 cm² * 8.6 cm

= 5.91834375 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.

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Answer:

Step-by-step explanation:

3rd one

Answer:

07n + 6

Step-by-step explanation:

Given: The cost of 7 t-shirts and a $6 tax

Let n represent the cost of 1 t-shirt.

Then, the total cost of 7 t-shirts would be 7n.

Adding the $6 tax gives a total cost of 7n + 6.

Therefore, the correct option is:

07n + 6

The answer choice which could represent the cost of 7 t-shirts and a $6 tax as in the task content is: 7n + 6.

It follows that the cost of 7 t-shirts and a $6 tax is the statement which is to be represented algebraically.

On this note, it follows that the if the cost of each t-shirts is taken to be: n.

Therefore, the required representation of the total cost would be:

\(\rightarrow\bold{7n + 6}\)

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Answer:

The correct answer is - A.(112.86, 127.14)

Step-by-step explanation:

Given:

mean = $120

sd = $17.50

n = 40

Solution:

Confidence interval for a populationcan be express as mean +/- margin of error (E)

degree of freedom = n-1 = 40-1 = 39

confidence level (C) = 99% = 0.01

significance level = 1 - C = 1 - 0.01 = 0.99 = 99%

 by margin of error E = t×sd/√n = 2.58*17.50/√40

= 2.58*2.76

= 7.138 or 7.14

then the lower limit of mean = mean - E = 120 - 7.14 = $112.86

and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14