the slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-
lope form of the equation for this line?

Answer:

A

Step-by-step explanation:

Answer:

Option A  

Step-by-step explanation:

First look for fifth column

Then for first roll in rows

It will give (5-1),(5-2),(5-3),(5-4),(5-5),(5-6)

The perimeter of the triangle is given by an expression 18m³ + 2m² - m

Consider the following diagram.

In this question we have been given a triangle.

The sides of the triangles are represented by a mathematical expressions

(5m³ + 3m² - 2m), (8m³ - 4m² + 3m) and (5m³ + 3m² - 2m)

From given expression we can observe that, there are two sides with expression 5m³ + 3m² - 2m.

This means, the triangle must be an isosceles triangle.

We know that the formula for the perimeter of isosceles triangle.

P = 2a + b

where, a = side and b = base of isosceles triangle

Using above formula the perimeter of given triangle would be,

P = 2(5m³ + 3m² - 2m) + (8m³ - 4m² + 3m)

P = (10m³ + 6m² - 4m) + (8m³ - 4m² + 3m)

P = (10 + 8)m³ + (6 - 4)m² + (-4 + 3)m            .....(combine like terms)

P = 18m³ + 2m² - m

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The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is

||A - A1||₂=0 where A is 2×2 matrix.

We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]

note here that C₂= 3C₁

where Cᵢ --> iᵗʰ column

v = [ 5 ; 6 ; -1 ; -4 ; 2]

||v||² = 82 => ||v|| = √82

and A At v = 820 v

and A At = [ 82 246 ; 246 738]

AAt [1;3] = 820[1;3]

=> v1 = 1/√10(1,3)^t

Then the best rank of 1 approx

= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]

= A

Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0

Hence, the minimal Approx. ||A - A1||2 = 0 .

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Complete question:

Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?

Answer:

125 : 1

Step-by-step explanation:

given 2 similar objects with ratio of sides a : b , then

ratio of volumes = a³ : b³

here

ratio of pot A : pot B = 15 : 3 = 5 : 1

ratio of volumes = 5³ : 1³ = 125 : 1

a. The sample proportion is calculated by dividing the number of voters in favor of the school bond measure (281) by the total number of voters in the sample (1000). Therefore, the sample proportion is 0.281.

b. The margin of error for a 90% confidence level can be calculated using the formula: margin of error = 1.645 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.645 x sqrt[(0.281 x 0.719) / 1000] = 0.028.
c. The margin of error for a 95% confidence level can be calculated using the same formula: margin of error = 1.96 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.96 x sqrt[(0.281 x 0.719) / 1000] = 0.032.
d. The 95% confidence interval can be calculated using the formula: sample proportion +/- (margin of error x z-score), where the z-score for a 95% confidence level is 1.96. Plugging in the values, we get: 0.281 +/- (0.032 x 1.96) = [0.219, 0.343]. Therefore, the 95% confidence interval is [0.219, 0.343].

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Answer:

\(y= -\frac19(x-3)^2+1\)

Step-by-step explanation:

the x-3 is to shift a normal parabola 3 to the right

the +1 is to lift the top up by one

the -1/9 is to compress and swapt it around

Answer:

y =-  \(\frac{1}{9}\)(x - 3)² + 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1) , thus

y = a(x - 3)² + 1

To find a substitute another point on the graph into the equation

Substitute (1, \(\frac{5}{9}\) ) into the equation

\(\frac{5}{9}\) = a(1 - 3)² + 1 ( subtract 1 from both sides )

- \(\frac{4}{9}\) = 4a ( divide both sides by 4 )

a = - \(\frac{1}{9}\)

y = - \(\frac{1}{9}\) (x - 3)² + 1 ← equation of parabola in vertex form

Answer:

The area of circumference A

Answer:

B is correct_

There are the 24360 ways by which pilot can be scheduled for 3 days of flying in September according to permutation.

According to the statement

we have to find that the by how many ways can a pilot be scheduled for 3 days of flying in September if the pilot can not work on consecutive days.

So, For this purpose,we know that the

Here we use permutation to find the number of ways.

Permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

And the number of days in September is 30 days and the given number of days is 3.

So, permutation becomes:

P(30,3) = 30! / 30-3 !

P(30,3) = 30! / 27 !

P(30,3) = 30 *29*28

P(30,3) = 24360.

So, There are the 24360 ways by which pilot can be scheduled for 3 days of flying in September according to permutation.

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The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Answer:

Which equation does the graph represent? ma y=mx+ b ... Which point does not lie on the graph x=-4? (-4,0) B. ... makes $54 one day, which of the following model(s) the situation? A. ... Find the slope of the line passing through the points (-6, 7) and (2,9). m ... 14 The equation of a line whose slope is 3 and y-intercept is 8 is.

Step-by-step explanation:

The line will have an equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find a line of best fit, you would typically use a technique called linear regression. Linear regression involves fitting a straight line to the data that minimizes the overall distance between the line and the data points.

This line represents the best linear approximation of the relationship between the variables. To perform linear regression, you would need a set of data points that represent the relationship between two variables.

You can then use statistical software or tools like Excel to calculate the line of best fit. The line will have an equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

Once you have the equation of the line, you can use it to make predictions or estimate values based on the given data.

It is important to note that the line of best fit may not pass through all the data points but rather represents the overall trend or relationship between the variables. It is also crucial to consider the assumptions and limitations of linear regression when interpreting the results.

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Answer:

x = 11

y = 2

n = 4

Step-by-step explanation:

Three equations

Look for x

Look for y

Look for n

__________________

Note that all of these are questions can be answered through isolating the variable.

Let's start with x :

Get x alone :

2(x + 5) = 3x + 1

Distribute :

(2(x) + 2(5))

2x + 10 = 3x - 1

Add 1 to both sides of the equation :

2x + 11 = 3x

Subtract 2x from both sides :

11 = x

x = 11

Next is y :

Isolate y :

3y - 4 = 6 - 2y

Add 4 to both sides :

3y = 10 - 2y

Add 2y to both sides :

5y = 10

Divide 5 from both sides to get y by itself :

y = 2

Lastly is n :

Isolate n :

3(n + 2) = 9(6 - n)

Distribute :

(3(n) + 3(2)) = (9(6) - 9(n))

3n + 6 = 54 - 9n

Subtract 54 from both sides :

3n - 48 = -9n

Subtract 3n from both sides :

-48 = -12n

-12n = -48

Divide -12 from both sides :

n = 4

the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Because the transformation is a dilation, we conclude that the buildings are not congruent.

You need to remember that if the transformation applied to A is a dilation or a contraction, then the figures will not be congruent.

Where for a point (x, y), a dilation of scale factor k is written as:

(kx, ky).

The vertices of building A are:

(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄).

And the vertices of building B are a dilation of the above ones, such that the dilation has a scale factor k = 2.

(2x₁, 2y₁), (2x₂, 2y₂), (2x₃, 2y₃), and (2x₄, 2y₄).

So, because there is a dilation, building B is not congruent to building A.

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Answer:

0.69465837 is the answer

Answer:

lol

Step-by-step explanation:

I dunno my brain isn't braining

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:

x = 17

Step-by-step explanation:

let x be the number she is thinking about

5x + 8 = 93

Rearrange

5x = 85

x = 17

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

It is growth and the percentage rate of increase is 7.5%

Step-by-step explanation:

The exponential equation is as follows;

y = 550(1.075)^x

Now, I can identify that the exponential equation is that of growth.

This is because what is in the bracket i.e can be represented as 1+ 0.075

The 0.075 represents the margin of increase as we move on from one value to another

The percentage rate can be gotten by expressing 0.075 as a percentage

That would be expressing is as a fraction

This is just 7.5/100 which means what we have is 7.5%

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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y = .08x+175000

175000 is the y intercept and because its increasing by .08 thats x you can always check these in desmos graphing calculator

Answer:

16.65 feet

Step-by-step explanation:

Okay, we have three boards that are each 6.85 feet long. If we cut 3.4 feet off one board, that board has:

6.85

−

3.4

=

3.45

feet left

If we cut off 0.5 feet off another board, that board has:

6.85

−

0.5

=

6.35

feet left

So, if we take our three new boards, the total length of plywood left is:

6.85

+

3.45

+

6.35

=

16.65

feet

Hope this helps!

To rewrite the expression using the least common denominator, the fraction numerator 5 over denominator x plus 2 end fraction can be multiplied by (6/x) / (6/x), resulting in the expression 5(6/x) / (x + 2)(6/x).

The least common denominator for the given rational equation is (x + 2)(6/x), which is the product of the denominators x + 2 and 6/x. To rewrite the expression, we multiply the numerator and denominator of the fraction numerator 5 over denominator x plus 2 end fraction by (6/x) to obtain 5(6/x) / (x + 2)(6/x). This step is done to eliminate the fraction in the numerator.

By rewriting the expression fraction numerator 5 over denominator x plus 2 end fraction using the least common denominator, we obtain 5(6/x) / (x + 2)(6/x), which allows us to work with a common denominator and proceed with solving the rational equation.

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