What is an equation of the line that passes through the point (5, 4) and is parallel to
the line 6x – 5y = 15?

The solution of the system of equation by converting them into matrix is equal to ( x  y ) = ( -3  2/19 ).

Convert the system of equations to a matrix equation,

( -3  5  2  3 ) (x y ) = ( 5  0 )

To solve for ( x y ) multiply both sides by the inverse of the coefficient matrix by ( -3  5  2  3 ),

find the inverse,

( a  b c d )^(-1) = ( 1/ ad -bc ) (d  -b  -c  a )

where ad - bc is the determinant of the matrix.

In this case, the determinant is,

(-3)(3) - (5)(2)

= -19

so the inverse is,

( -3 5 2 3 )^(-1)

= (1 /-19)( 3  -5  -2  -3 )

= ( -3/19  5/19  2/19  3/19  )

Multiplying both the sides of the matrix equation by the inverse we get,

(x y ) = ( -3/19  5/19  2/19  3/19  )(5  0)

⇒( x  y ) = ( -3  2/19 )

Therefore , the solution of the system of equation using matrix is equal to  ( x y ) = ( -3  2/19 ).

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Answer:

The limit exists when approaching along the x-axis and is equal to 1/2. The limit does not exist when approaching along the y-axis. When approaching along y = kx, the limit exists and is equal to (1 + 3k^2) / 2.

To find the limits of the given expression as (x, y) approaches (0, 0), we can analyze the behavior of the expression as we approach along different paths.

First, let's approach along the x-axis. This means y is fixed at 0. Substituting y = 0 into the expression gives us:

lim (x,y)→(0,0) (x^2 + 3y^2) / (2x^2)
  = lim x→0 (x^2 + 3(0)^2) / (2x^2)
  = lim x→0 x^2 / (2x^2)
  = lim x→0 1/2
  = 1/2

Next, let's approach along the y-axis. This means x is fixed at 0. Substituting x = 0 into the expression gives us:

lim (x,y)→(0,0) (x^2 + 3y^2) / (2x^2)
  = lim y→0 (0^2 + 3y^2) / (2(0)^2)
  = lim y→0 3y^2 / 0
  = DNE (does not exist)

Lastly, let's consider approaching along y = kx. Substituting y = kx into the expression gives us:

lim (x,y)→(0,0) (x^2 + 3y^2) / (2x^2)
  = lim x→0 (x^2 + 3(kx)^2) / (2x^2)
  = lim x→0 (x^2 + 3k^2x^2) / (2x^2)
  = lim x→0 (1 + 3k^2) / 2
  = (1 + 3k^2) / 2

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When the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

Given,

The sum of the squared deviation scores SS= 20

Population of n= 5

Then the variance = SS/n

Substitute the values in the equation

The variance = \(\frac{20}{5}\)

=4

Hence, when the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

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Answer

Option C is correct.

Sandra will be paid 72.30 dollars for babysitting for 12 hours.

Explanation

We are told that Sandra earned 60.25 dollars babysitting 10 hours.

If she babysits at the same rate, we are asked to calculate the amount she would earn if she babysits for 12 hours.

Let the amount Sandra is paid for babysitting for 12 hours be x dollars

10 hours = 60.25 dollars

12 hours = x dollars

We can write a mathematical relationship by cross multiplying

10 × x = 12 × 60.25

10x = 723

Divide both sides by 10

(10x/10) = (723/10)

x = 72.3 dollars

Hope this Helps!!!

Answer: 21/5

Step-by-step explanation:

I'm not sure if you wrote it right or not but

if DE = 4x-1 = 9x - 22

5x=21, x = 21/5

Therefore, When ratios have the same units, we call that ratio a unit ratio.

When ratios have the same units, we call that ratio a unit ratio. An explanation of what is meant by the term ratio would be helpful. A ratio compares the relative sizes of two or more quantities. If the numbers being compared have the same units, then it is called a unit ratio. Unit ratios are ratios that relate to each other in terms of the same measurement unit. They are also sometimes known as unit rates or unit fractions. They are frequently used to compare the relative size of one quantity to another when they are measured in the same units. For example, when we say that there are two apples for every five oranges, we are expressing a ratio between apples and oranges. However, when we say that there are two apples per five oranges, we are using a unit ratio.

Therefore, When ratios have the same units, we call that ratio a unit ratio.

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The paper you mentioned, "Tensor decompositions for learning latent variable models" by A. Anandkumar, R. Ge, D. Hsu, SM. Kakade, and M. Telgarsky, is available as an arXiv preprint with the identifier arXiv:1210.7559.

In this paper, the authors explore the use of tensor decompositions for learning latent variable models. Tensor decompositions are mathematical techniques that can be used to analyze and extract meaningful information from high-dimensional data.

The authors propose a method that combines tensor decompositions with probabilistic graphical models to learn latent variable models. Latent variable models are statistical models that can capture hidden structures or factors in the data.

By leveraging tensor decompositions, the authors aim to provide a principled and efficient approach for learning latent variable models. The paper likely presents theoretical results, algorithms, and experimental evaluations to support their approach.

If you are interested in learning more about this topic, I recommend reading the paper in detail. It should provide a comprehensive explanation of the proposed method and its applications in learning latent variable models.

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Answer:

-4x-18

Step-by-step explanation:

pickle

Answer: -4x-18

Step-by-step explanation:

8x-16-12x-2=8x+-16+-12x+-2

Then you combine like terms.

8x+-16+-12x+-2= (8x+-12x)+(-6+-2)

Your answer will be -4x-18

I hope this helps

Answer:

i think its just water bro

Answer:

Step-by-step explanation:

The probability that no customer arrives in the first hour after opening is 1.

Given that customers arrive at a bank according to a Poisson process with rate 6 per hour and it is known that the bank opens at 9:00 am. We are to determine the probability that no customer arrives in the first hour after opening.In order to solve the given problem, we will use the Poisson probability formula.

The formula for Poisson probability is given as;P (x; λ) = (e^-λ)(λ^x)/x!Where,x = 0, 1, 2, 3, ......∞λ = mean ratee = 2.71828 (The Euler’s number)In this problem,x = 0λ = 6e = 2.71828Now, we can plug the values of x, λ, and e into the Poisson probability formula to find the probability that no customer arrives in the first hour after opening.

P (0; 6) = (e^-6)(6^0)/0! = (1 * 1)/1 = 1Therefore, the probability that no customer arrives in the first hour after opening is 1.

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Answer:

Perimeter: 36 cm

Step-by-step explanation:

Area = length x width

Width = x

Length 2x

Area = 72 cm

Area = x (2x) = 2x^2

2x^2 = 72 cm

x^2 = 72/2

x = sqrt 36 = 6

Width = 6

Length = 12

Perimeter = 2(6) + 2(12) = 12 + 24 = 36 cm

Answer:

The answer is: A≈451.93m²

Answer:

C. F × 2

Step-by-step explanation:

Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:

F × 2

The work done in stretching the spring from its natural length to 3 inches beyond its natural length is -59.556 lb-in. The negative sign indicates the direction of the work done.

To calculate the work done in stretching the spring from its natural length to 3 inches beyond its natural length, we can use the formula:

W = \((1/2) k (x2^2 - x1^2)\)

where W is the work done, k is the spring constant, x2 is the final displacement of the spring from its natural length, and x1 is the initial displacement of the spring from its natural length.

First, we need to convert the initial displacement of the spring from feet to inches. Since there are 12 inches in a foot, 5 feet is equivalent to 60 inches. Therefore, the initial displacement of the spring is x1 = 60 inches.

Next, we need to calculate the spring constant, k. We can use the formula:

F = kx

where F is the force required to hold the spring stretched and x is the displacement from the natural length. From the given information, we know that when the spring is stretched 5 ft beyond its natural length, the force required is 80 lb. Therefore,

80 lb = k(5 ft) = k(60 inches)

k = 80 lb / 60 inches = 4/3 lb/in

Now we can calculate the work done in stretching the spring from its natural length to 3 inches beyond its natural length:

W =\((1/2) k (x2^2 - x1^2)\)

= \((1/2) (4/3 lb/in) [(3 in)^2 - (60 in)^2]\)

= - 59.556 lb-in

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The correct series of transformations that maps ABC to XYZ is:

Dilate ABC by a scale factor of 3 centred at the origin, then translate the result down 5 units.

Explanation:

Dilating ABC by a scale factor of 3 centred at the origin will result in a triangle with vertices A'=(0,0), B'=(6,0), and C'=(0,12).

Translating the dilated triangle down 5 units will result in a triangle with vertices A''=(0,-5), B''=(6,-5), and C''=(0,7).

Therefore, the final image XYZ must be a triangle with vertices X=(0,-5), Y=(6,-5), and Z=(0,7).

None of the other given series of transformations will result in the correct image XYZ.

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Answer:

3/2

Step-by-step explanation:

Answer:

KM=60°

Step-by-step explanation:

The average of arc LN and arc KM is equal to 110.

\(\frac{160+KM}{2} =110\)

160+KM=220

KM=60

Answer:

I only

Step-by-step explanation:

All numbers are rational.

Not all numbers are whole or integers.

Answer: I only

Answer:

C

Step-by-step explanation:

Just took it

your correct answer is C

(0.80)

Answer:

your answer option 1 and 4

Step-by-step explanation:

have a nice day ^_^

Answer:

Step-by-step explanation:

He gets a new job and it pays him $60k each year.

Amount per year: 60,000

He gets a raise of $5k

Amount per year: 65,000

After 5 years of working there you times 5 by your amount you get per year.

5 x 65,000 = 325,000

Therefore you get...

$325k every five years

To know how much it is in ten years multiply 325k by 2

325,000 x 2 = 650,000

Salary after 5 years: 325,000

Salary after 10 years: 650,000

<3 Enjoy,

    Dea

The amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal. In order to determine how much tile is needed, you will need to measure the surface area of the pedestal.

The pedestal's dimensions are height, breadth, and length.

Multiply the height, width, and length of the pedestal to calculate the surface area.

Multiply the surface area by the number of tiles needed to cover the pedestal. To determine the number of tiles needed, divide the surface area by the area of each tile.

For example, if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long, the surface area is 16 square feet. If each tile has an area of 1 square foot, then it will take 16 tiles to cover the pedestal.

In conclusion, the amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal and the size of the tiles. To determine the amount of tile needed, measure the surface area of the pedestal and then multiply it by the number of tiles needed to cover the pedestal.

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The pedestal's size and shape will determine how much tile is required to cover it. It will take 1176cm² of tiles to cover the pedestal.

You will need to measure the pedestal's surface area in order to figure out how many tiles you need. The height, width, and length of the pedestal are the same. To determine the surface area, multiply the pedestal's height, width, and length.

S = 2*s1 + s2 + 2*s3

= 96 + 480 + 600

= 1176

Divide the total number of tiles required to cover the pedestal by the surface area. Divide the surface area by the area of each tile to determine the required number of tiles.

The surface area, for instance, is 16 square feet if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long. 16 tiles will be required to cover the pedestal if each tile has a surface area of one square foot.

In conclusion, the dimensions of the tiles and the pedestal's size will determine how much tile is required to cover the pedestal. Multiply the surface area of the pedestal by the number of tiles required to cover it to find the required quantity of tiles.

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Answer:

10

Step-by-step explanation:

Answer:

10.54263764

Step-by-step explanation:

\(3300=2000e^{.0475t}\\\\1.65=e^{.0475t}\\\ln(1.65)=.0475t\\.500775288=.0475t\\t=10.54263764\)

Answer:

It will take about 10.5 years for the investment to reach $3,300.

Step-by-step explanation:

Continuous compound is given by:

\(\displaystyle A=Pe^{rt}\)

Where P is the principal, e is Euler's number, r is the rate, and t is the time (in this case in years).

Since our principal is $2,000 at a rate of 4.75% or 0.0475, our equation is:

\(\displaystyle A=2000e^{0.0475t}\)

We want to find the number of years it will take for our investment to reach $3,300. So, substitute 3300 for A and solve for t:

\(3300=2000e^{0.0475t}\)

Divide both sides by 2000:

\(\displaystyle e^{0.0475t}=\frac{33}{20}\)

We can take the natural log of both sides:

\(\displaystyle 0.0475t=\ln\left(\frac{33}{20}\right)\)

Therefore:

\(\displaystyle t=\frac{1}{0.0475}\ln\left(\frac{33}{20}\right)\approx 10.54\text{ years}\)

It will take about 10.5 years for the investment to reach $3,300.

Slope Sales will be $-159.474 at 0 degrees Celsius, which is nonsensical to understand.

A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

given information,

Temperature=20 egression equation,

\(sales= 442.284\\ Slope=$ 30.0879\)

temperature increases by 1 degree

$30.0879, on average.

\(y-intercept= -159.474\)

At 0 degree celsius of temperature, Sales will be \($-159.474\)which is meaningless to interpret.

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Answer: The answer is C 11/3

Isolate the variable by dividing each sides by a factors that don't contain the variable.

Answer:

Emily does not have enough ribbon to finish wrapping the second gift.

Step-by-step explanation:

Emily has 98 inches of ribbon to wrap some gifts.

a)She uses 1/2 of the ribbon to wrap one gift

The inches of ribbon required to wrap 1 gift =

1/2 × 98 inches = 49 inches

The inches ribbon left = 98 - 49 = 49 inches

b) 3/8 of the remaining ribbon to make a bow.

The inches of ribbon used to make a bow is calculated as:

3/8 × 49 inches

= 18.375 inches

The inches of ribbon left is calculated as:

49 inches - 18.375 inches

= 30.625 inches of ribbon

We are told that:

She also needs 35 inches of ribbon to tie around a second gift.

From the above calculations, Emily does not have enough ribbon to finish wrapping the second gift.

The conclusion of the SAS Similarity Theorem is:

1.) Two pairs of sides that are proportional.

2.) A pair of includes congruent angles.

What is the SAS Similarity Theorem?

SAS Similarity Theorem states that if two triangles have two pairs of sides that are proportional and have a pair of included congruent angles, both triangles are said to be similar to each other.

As the definition of the SAS similarity theorem states that two triangles have two pairs of sides that are proportional and have a pair of included congruent angles, both triangles are said to be similar to each other.

Hence, the conclusion of the SAS Similarity Theorem is:

1.) Two pairs of sides that are proportional.

2.) A pair of includes congruent angles.

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