Find the slope between the ordered pairs (3,8) (-2,6)

Answer:

Only plot B

Step-by-step explanation:

Answer:

Only Plot B

Step-by-step explanation:

The points in plot A are randomly scattered, and there is no recognizable pattern. So, this plot indicates no correlation between the points Tyler scored and the points Nolan scored.

In plot B, the total points Tyler’s team scored appear to increase as the points Tyler scored increase. This pattern indicates a positive correlation between the two variables.

So, only plot B indicates a positive correlation.

It looks like you did a great job solving the equation, and your final answer is correct. Here is a brief summary of the steps you took:
your final answer is correct\(: x = 1 - (pm - pn) / 4t\)

Mathematics has been classified into many branches. Arithmetic is the branch that handles numbers and their operations. Arithmetic taught us addition, subtraction, multiplication and divisions of two or more numbers. Geometry is all about shapes and their construction using different tools like a compass, ruler and pencil. Algebra is another interesting branch where we express our daily life situations in numbers and letters (variables).
1. Expanded the equation: \(12 - tx^2 - pn = 12 - t(2 - x)^2 - pm\)
2. Simplified: \(12 - tx^2 - pn = 12 - 4t + 4tx - tx^2 - pm\)
3. Eliminated the 12 and tx^2 terms: -pn = -4t + 4tx - pm
4. Rearranged the equation:\(-4tx = -4t + pn - pm\)
5. Divided both sides by \(-4t: x = 1 - (pm - pn) / 4t\)
So, your final answer is correct\(: x = 1 - (pm - pn) / 4t\)

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To prove the properties of the projection matrix, we'll assume that p is the projection matrix corresponding to a subspace S of \(R^{m}\).

(a) p² = p

To show that p² = p, we need to demonstrate that applying the projection matrix p twice is equivalent to applying it once.

Let's consider an arbitrary vector x in \(R^{m}\). Applying the projection matrix p to x yields its projection onto the subspace S:

p(x) = projection of x onto S

Now, if we apply the projection matrix p again to p(x), we have:

p(p(x)) = projection of p(x) onto S

Since p(x) is already the projection of x onto S, applying the projection matrix p once more won't change the result. Hence, we can write:

p(p(x)) = p(x)

This equation holds for any vector x in \(R^{m}\), meaning that p² = p.

(b) \(p^{T}\) = p

To prove that \(p^{T}\) = p, we need to show that the transpose of the projection matrix p is equal to p.

Let's consider an arbitrary vector x in \(R^{m}\). Applying the projection matrix p to x yields its projection onto the subspace S:

p(x) = projection of x onto S

Now, let's compute the transpose of p(x):

\((p(x))^{T}\) = \((projection of x onto S)^T\)

The transpose of a projection onto a subspace doesn't change the result because it only affects the column vectors of the projection matrix. The transpose of p(x) is still the projection of x onto S. Hence, we can write:

\((p(x))^T\) = p(x)

Since this equation holds for any vector x in \(R^{m}\), we can conclude that \(p^T\) = p.

Therefore, we have shown that (a) p² = p and (b) \(p^T\) = p, proving the properties of the projection matrix corresponding to a subspace S of \(R^{m}\).

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Answer:

\(\sqrt{3} - \frac{\pi}{2}\)

Step-by-step explanation:

Firstly, you connect the three origins, and then a triangle form, the triangle is certainly an equilateral triangle.

The three sides of the triangle are all 2cm because the radius of the three coins are 1cm, it's very easy to understand.

Now, using the Pythagorean theorem (of you have a right triangle with two sides a, b and the hypotenuse c, you can see that\(\sqrt{a^{2} +b^{2} }=c\), \(\sqrt{c^{2}-b^{2} } =a\)and \(\sqrt{c^{2}-a^{2} } =b\)), we can get the area of the equilateral triangle by calculating the two right triangles in it (you can get the two triangles by drawing a line connecting the point of one angle to the middle point of its opposite side)

The area of one of the two small right triangles is: \(\frac{1*\sqrt{2^{2}-1^{2} }}{2}=\frac{\sqrt{3} }{2}\), and the sum of the area of the two right triangles, which is also the area of the equilateral triangle is: \(2*\frac{\sqrt{3} }{2}=\sqrt{3}\)

We calculate all this because we need to use the area of the equilateral triangle to subtract the area of the three sectors in it, and the result will be the area of the shaded area.

Now, to calculate the area of the three sectors, we need to know the angles of them, which is 60 degrees(because they are in an equilateral triangle). And then, the area of one of the three sectors(they are completely the same) are \(1^{2} \pi *\frac{60}{360} =\frac{\pi }{6}\), so the sum of the three sectors are \(\frac{\pi }{6}*3=\frac{\pi}{2}\).

Then, the shaded area of the area of the equilateral triangle subtract the area of the three sectors, which is\(\sqrt{3} -\frac{\pi}{2}\)

If you want the result in decimals, you can use a calculator.

Hope this will help:)

P.S. Typing this rly took me  a LONG time >_<

Correct Options are A, C, and F : The quadratic equations are equations in the form of \(ax^2\) + bx + c = 0, and quadratic in form equations can be written in different forms but still have a squared term.

An equation is considered to be quadratic in form if it can be written in the general form \(ax^2\) + bx + c = 0, where a, b, and c are constants and x is the variable.

A. \(x^4\) – \(6x^2\) – 27 = 0 is not quadratic in form because it contains an \(x^4\)term, which does not fit the general form.

B. \(3x^4 = 2x\) is not quadratic in form because it does not contain a term with \(x^2\).

C. \(2(x + 5)^4 + 2x^2 + 5 = 0\) is quadratic in form because it can be written as \(2y^4 + 2x^2 + 5 = 0\), where y = x + 5.

D. \(6(2x + 4)^2 = (2x + 4) + 2\) is not quadratic in form because the left side expands to \(24x^2 + 96x + 96\), which does not fit the general form.

E. \(6x^4 = -x^2 + 5\) is not quadratic in form because it contains an\(x^4\) term and a linear term \((-x^2)\).

F. \(8x^4 + 2x^2 – 4x = 0\) is quadratic in form because it can be factored into \(2x(x + 1)(4x^2 - 1) = 0\), which fits the general form.

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Select all of the following equation(s) that are quadratic in form.

A. x4 – 6x2 – 27 = 0.

B. 3x4 = 2x

C. 2(x + 5)4 + 2x2 + 5 = 0

D. 6(2x + 4)2 = (2x + 4) + 2

E. 6x4 = -x2 + 5

F. 8x4 + 2x2 – 4x = 0

Step-by-step explanation:

\(3)b \: c \ \: d \: e \\ \\ 4)bc \: nd \: de \\ 5)s \\ 6)t \\ thank \: you\)

Answer:

D = 118* and C = 149*

Step-by-step explanation:

just extend the line AD and BC downwards and use the straight line of 180* property.

all angles of a trapezium add up to 360*

62+31+118+149=360

To find the transitive closures of the given relations, we can use Algorithm 1, also known as the Warshall's algorithm. Here are the transitive closures for each relation:

a. Relation: {(1,2), (2,1), (2,3), (3,4), (4,1)}

  Transitive Closure: {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}

b. Relation: {(2,1), (2, 3), (3,1), (3,4), (4,1), (4, 3)}

  Transitive Closure: {(2,1), (2,3), (2,4), (3,1), (3,3), (3,4), (4,1), (4,3), (4,4)}

c. Relation: {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)}

  Transitive Closure: {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)}

d. Relation: {(1, 1), (1,4), (2,1), (2,3), (3, 1), (3, 2), (3,4), (4, 2)}

  Transitive Closure: {(1,1), (1,4), (2,1), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}

In the transitive closure, every pair (i, j) represents a directed edge from i to j in the transitive closure graph.

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Answer:

a) 3.60

5.20

7.20

3.2 + .4M

b) at most, 42 minutes if only have $20

Step-by-step explanation:

minutes = 1;    3.2 + (.4)(1) = 3.60

minutes = 5;    3.2 + .4(5) =  5.20

minutes = 10;    3.2 + .4(10) = 7.20

minutes = M;    3.2 + .4M

b)  3.2 + .4M ≤ 20

.4M ≤ 16.8

M ≤ 42

at most, 42 minutes if only have $20

Answer:

in the question sorry

Step-by-step explanation:

I am going to make an equation using y=mx+b alright! y=0.40x+3.20

so the first one is 3.6

the second one is 5.2

the third one is 7.2

the last one is im not sure tbh i think you make one up

part b. is 42 mins

Answer:

3 and 7 of what?

Step-by-step explanation:

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

the third graph

Step-by-step explanation:

1. increase - then you know the line has to go upwards.  so only first &3rd lines are potentially correct answer

2. look at the Y axis markings, first one goes from 5 to 11, it increased by 6.  so it's not right.

answer is the 3rd one.

Answer:

(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

 (x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

 (x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

 (x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

 A(7, 5) ⇒ A'(4 -7, 5 +8) = (-3, 13)

Answer:

Kindly check explanation

Step-by-step explanation:

Let number of loaves = nl

Cups of flour = cp

Tablespoonful of water = sw

Teaspoonful of salt = ss

1 loaf of bread calls for :

2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt

1 loaf :

cp = 2 × nl

sw = 12 × nl

ss = 1 × nl = nl

nl - - - - - - cp - - - - - - sw - - - - - - ss

1 - - - - - - - 2 - - - - - - - 12 - - - - - - 1

2 - - - - - - - 4 - - - - - - - 24 - - - - - 2

4 - - - - - - - 8 - - - - - - - 48 - - - - - 4

3 - - - - - - - 6 - - - - - - - 36 - - - - - 3

Number of loaves = cups of flour / 2

Answer:

6c^5+4c−301, assuming that you meant 6c^5  

Answer:

i don't know uhhhhhhhhhh do what ever you heart says

Answer:

Area; inside; centimeters; meters.

Step-by-step explanation:

Area is the amount of space inside a two-dimensional shape. It can be measured in units such as centimeters or meters.

In Mathematics, it is typically used to measure the amount of space contained in two-dimensional shapes such as a square, rectangle, circle, sphere, etc.

Consider the area of the following shapes;

I. The area of a circle = πr²

Where, r is the radius of the circle.

II. Area of square = L²

Where, L is the length of its sides.

III. Area of rectangle = Length * width.

Answer:

Area; inside; centimeters; meters.

Step-by-step explanation:

Area is the amount of space inside a two-dimensional shape. It can be measured in units such as centimeters or meters.

"Acquisitions, according to research, usually result in value destruction rather than value creation for acquiring firms." This is true.

Numerous studies conducted over the years have revealed that the majority of mergers and acquisitions do not produce the expected synergies—in fact, many do the opposite and reduce value. Managing the process from merger preparation to post-merger integration is key to the idea of wealth creation through mergers and acquisitions.

The procedure entails a careful evaluation of whether a transaction is worthwhile to pursue or not, a solid strategy, and an M&A methodology. Before engaging in a deal or dealing with a cultural problem that might undermine the real value of their long-term strategy, acquirers must have their value creation strategy in place.

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The complete question is:

Acquisitions, according to research, usually result in value destruction rather than value creation for acquiring firms. True or False.

Answer:

he is a -168

Step-by-step explanation:

-5.6*30=-168

Answer:

B. 2x² + 11

Step-by-step explanation:

(f - g)(x) means:

f(x) - g(x)

We've been given what each of these is equal to, so substitute that in:

3x² + 2 - (x² - 9)

Simplify. Don't forget to distribute that minus in the middle to both terms in x² - 9

3x² + 2 - x² + 9

Next, combine like terms.

2x² + 11

Based on the information abover, the value of z is (-1 + √45) / 2.

From the question above, x =u² – v² ... Equation (1)

y = 2uv ... Equation (2)

z = u² + v² ... Equation (3)

Also given that

x = 11 ... Equation (4)

Using equations (1) and (4), we get:

u² – v² = 11 ... Equation (5)

From equations (2) and (3), we have:

y² + z² = (2uv)² + (u² + v²)²= 4u²v² + u4 + v4 + 2u²v²+ 2u²v² + 2uv²= u4 + 6u²v² + v4 ... Equation (6)

Adding equations (5) and (6), we get:

u² + v² + u⁴ + 6u²v² + v⁴ = 11 + u⁴ + 2u²v² + v⁴= 11 + (u² + v²)²= 11 + z²

So,z² = 11 + u² + v²= 11 + z (from equation 3)

Thus,z² = 11 + z

On solving the above equation, we get:z² - z - 11 = 0

On solving the quadratic equation, we get:z = - ( - 1 ± √45) / 2

The positive value of z is given by:

z = (-1 + √45) / 2

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Answer:

Gum is 6 Q 1 D 1 N Raspberries is 12 Q 1 N 1 D

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

● x^2 + 11x + 121/4 = 125/4

Substract 125/4 from both sides:

● x^2 + 11x + 121/4-125/4= 125/4 -125/4

● x^2 + 11x - (-4/4) = 0

● x^2 +11x -(-1) = 0

● x^2 + 11 x + 1 = 0

This is a quadratic equation so we will use the determinanant (b^2-4ac)

● a = 1

● b = 11

● c = 1

● b^2-4ac = 11^2-4*1*1 = 117

So this equation has two solutions:

● x = (-b -/+ √(b^2-4ac) ) / 2a

● x = (-11 -/+ √(117) ) / 2

● x = (-11 -/+ 3√(13))/ 2

● x = -0.91 or x = -10.9

Round to the nearest unit

● x = -1 or x = -11

The solutions are { -1,-11}

The solution of the equation x² + 11x + (121/4) = 125/4 will be 0.09 and negative 11.09.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

x² + 11x + (121/4) = 125/4

Simplify the equation, then the equation will be

4x² + 44x + 121 = 125

4x² + 44x + 121 - 125 = 0

4x² + 44x - 4 = 0

x² + 11x - 1 = 0

We know that the formula, then we have

\(\rm x = \dfrac{-b \pm \sqrt {b^2 - 4ac}}{2a}\)

The value of a = 1, b = 11, and c = -1. Then we have

\(\rm x = \dfrac{-11 \pm \sqrt {11^2 - 4 \times 1 \times (-1)}}{2 \times 1}\\\rm x = \dfrac{-11 \pm \sqrt {121 +4}}{2 }\\x = \dfrac{-11 \pm \sqrt {125}}{2 }\)

Simplify the equation, then we have

x = (- 11 ± 11.18) / 2

x = (-11 - 11.18) / 2, (-11 + 11.18) / 2

x = -11.09, 0.09

The solution of the equation will be 0.09 and negative 11.09.

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Answer:

D

Step-by-step explanation:

Given:

The point (9,-12) is on terminal side of angle theta in standard position.

To find:

The exact value of each of the six trigonometric functions of theta.

Solution:

The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.

We know that,

\(r=\sqrt{x^2+y^2}\)

\(r=\sqrt{9^2+(-12)^2}\)

\(r=\sqrt{81+144}\)

\(r=\sqrt{225}\)

\(r=15\)

Now,

\(\sin \theta=\dfrac{y}{r}=\dfrac{-12}{15}=-\dfrac{4}{5}\)

\(\cos \theta=\dfrac{x}{r}=\dfrac{9}{15}=\dfrac{3}{5}\)

\(\tan \theta=\dfrac{y}{x}=\dfrac{-12}{9}=-\dfrac{4}{3}\)

\(\cot \theta=\dfrac{1}{\tan \theta}=-\dfrac{3}{4}\)

\(\text{cosec} \theta=\dfrac{1}{\sin \theta}=-\dfrac{5}{4}\)

\(\sec \theta=\dfrac{1}{\cos \theta}=\dfrac{5}{3}\)

Therefore, the values of six trigonometric functions of theta are \(\sin \theta=-\dfrac{4}{5},\cos \theta=\dfrac{3}{5},\tan \theta=-\dfrac{4}{3},\cot \theta=-\dfrac{3}{4},\text{cosec} \theta=-\dfrac{5}{4},\sec \theta=\dfrac{5}{3}\).

Answer:

b. |−37| + |−28|

Step-by-step explanation:

The absolute value of a number is its distance from 0 on the number line. Since the divers are below sea level, both 37 and 28 will be negative numbers.

To find the distance between the two divers, we need to add the absolute values of their depths.

The first diver is at -37 ft and the second diver is at -28 ft, so we can calculate the distance between them as |-37| + |-28| = 37 + 28 = 65 ft

If boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water, the distance from point A to point B is approximately 226.6 feet.

To find the distance from point A to point B, we can use the tangent function. Let x be the distance between point A and the lighthouse, and let y be the distance between point B and the lighthouse. We can then set up two equations based on the angles of elevation:

tan(13°) = 142/x

tan(20°) = 142/y

Solving for x and y, we get:

x = 142/tan(13°) ≈ 627.8 feet

y = 142/tan(20°) ≈ 401.2 feet

The distance between point A and point B is the difference between x and y:

x - y ≈ 226.6 feet

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Complete question is:

A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point A, the boat’s crew measures the angle of elevation to the beacon, 13 degree, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 20 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

Answer:

\(x=\sqrt{23}\)

Step-by-step explanation:

So the eqaution for the hypotonuse is \(a^{2}+b^{2} =c^{2}\)

Therefore...

\(\sqrt{16} +\sqrt{x^{2} }=\sqrt{27}\\ 4+x =\sqrt{27} \\x=\sqrt{23}\)