question 19 of the attachment below

Answer: 135/20=6.75

Step-by-step explanation:

Long division (picture attached below)

Answer:

The probability of the first marble being blue is 4/9 and the probability of the second marble being green is 2/8 (8 because the first marble you pulled out didn't get put back, therefore you only have 8 marbles to choose from now) and 2/8 in simplest form is 1/4.

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The standard form of the equation of this ellipse is \(\frac{(x\;+\;5)^2}{5^2} +\frac{(y\;-\;6)^2}{8^2}=1\)

In Mathematics, the standard form of the equation of an ellipse can be represented by the following mathematical equation:

\(\frac{(x\;-\;h)^2}{a^2} +\frac{(y\;-\;k)^2}{b^2}=1\)

Where;

From the information provided above, we have the following parameters about the equation of this ellipse:

Vertices = (-5, -2) and (-5, 14)

Point = (0, 6)

Since the vertices are located at (-5, -2) and (-5, 14), we would determine the coordinates of the center (h, k) by using the midpoint formula as follows:

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Midpoint = [(-5 - 5)/2, (-2 + 14)/2]

Midpoint or center (h, k) = (-5, 6).

Since the point (0, 6) lies on the ellipse, we would determine the value of a and b as follows:

\(\frac{(0\;-\;h)^2}{a^2} +\frac{(6\;-\;k)^2}{b^2}=1\)

b² = (k - 14)²             b² = (k + 2)²

b² = (6 - 14)²             b² = (6 + 2)²

b² = (-8)²                   b² = 8²

b = √64 = 8.             b = √64 = 8.

a = x - h

a = 0 - (-5)

a = 5

Therefore, the required equation of this ellipse is given by;

\(\frac{(x\;-\;h)^2}{a^2} +\frac{(y\;-\;k)^2}{b^2}=1\\\\\frac{(x\;+\;5)^2}{5^2} +\frac{(y\;-\;6)^2}{8^2}=1\)

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Answer:

-18

Step-by-step explanation:

If you're looking for the y-intercept for this equation this means that x = 0.

So substitute x as 0 in the equation and you'll get the following.

y + 3 = 5 (0 - 3)

y + 3 = -15

y = -18

The instantaneous rate of change in the percent of households that used the internet for electronic banking in the year 2000 is; 6.8%

Formula for instantaneous rate of change is;

f'(x) = (f(b) - f(a))/(b - a)

From the table showing the the percent of households that used the internet for electronic banking in the year 2000, we can find the instantaneous rate of change as;

f'(2000) = (f(2001) - f(1999)]/(2001 - 1999)

f'(2000) = (21.6 - 8)/(2001 - 1999)

f'(2000) = 13.6/2

f'(2000) = 6.8

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Answer:

the digits in the thousands place is 7

and the digits in the tens place is 9

For a 3×3 matrix A, with the real eigenvalue is 2 and two complex conjugate eigenvalues, the complex conjugate eigenvalues of matrix A are equal to 1 ± i.

Eigenvalues are defined as a special set of scalar points that is associated with set of linear equations and matrix equations. We have a matrix A of order 3×3. It has real and complex eigenvalues. As we know number of eigenvalues for 3×3 matrix are 3. The real eigenvalue, λ

= 2

Number of complex eigenvalues= 2

Also, the determinant of matrix A, det(A) = 50

Trace of matrix A, tr(A) = 8

We have to determine the complex eigenvalues.

The characteristic polynomial for 3×3 is written as below, f( λ )= det(A − λI3 )= −λ³ + 4λ² - 6 λ + 4.

For eigenvalues, −λ³ + 4λ² - 6 λ + 4 = 0

Now, one of eigenvalue of matrix is 2, λ = 2. Using the synthesis division, for calculating the remaining, follow the steps present in above figure. In the last step of division we get a quadratic equation, -λ² + 2λ - 2 = 0, solve it by quadratic formula, \(λ = \frac{-2 ± \sqrt{ 2² - 4 (-2)(-1)}}{2(-1)}\)

\(= \frac{-2 ± \sqrt{4 - 8 }}{-2}\)

=> λ = 1 ± i

Hence, required values are 1 ± i.

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Answer:

2 over fifteen

Step-by-step explanation:

Answer:

the correct answer is 1/10 >.<

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trust me it is .. :)

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brainliest ? :)

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if you can't / or dont know how its fine ! have a nice day btw :) !!

Answer:

I think 43 is the answer

Step-by-step explanation:

Pls mark brainliest if 43 is the correct answer

The value of p which is one of the angles of the given figure of the triangle is 43°, which is option B.

Given a figure.

The figure can be taken as a triangle.

One of the angles of the triangle is p.

It is required to find the value of p.

Given two exterior angles of the other two angles other than p of the given triangle.

The measures are 90° and 133°.

The interior angle corresponding to the exterior angle of 90° is 180° - 90° = 90°.

The interior angle corresponding to the exterior angle of 133° is 180° - 133° = 47°.

So, by the angle sum property of the triangle,

90° + 47° + p = 180°

137° + p = 180°

p = 180° - 137°

  = 43°

Hence, the angle p is 43°, which is option B.

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Answer:0.012345

Step-by-step explanation: km=mm/1000000 so 12345/1000000=0.012345mm

The 1930s was a period of significant change in the U.S. entertainment industry, with the emergence of new technologies and the development of new forms of media. Here are some of the key changes that took place:

Overall, the 1930s was a period of significant change in the U.S. entertainment industry, with the rise of new technologies and the emergence of new forms of media leading to the development of new genres and changing audience preferences.

Answer:

Step-by-step explanation:

The equation of an ellipse centered at the origin with height 8 units and width 16 units is (x² / 64) + (y² / 16) = 1.

To write the equation of an ellipse centered at the origin with height 8 units and width 16 units, we need to determine the semi-major axis (a) and the semi-minor axis (b). The width corresponds to the horizontal axis, and the height corresponds to the vertical axis.

In this case, the width is 16 units, so half of the width, or the semi-major axis, is 8 units. Thus, a = 8. The height is 8 units, so half of the height, or the semi-minor axis, is 4 units. Therefore, b = 4.

Now, we can use the standard equation for an ellipse centered at the origin:

(x² / a²) + (y² / b²) = 1

Plugging in the values of a and b, we get:

(x² / 8²) + (y² / 4²) = 1
(x² / 64) + (y² / 16) = 1

This is the equation of the ellipse centered at the origin with height 8 units and width 16 units.

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Answer:

y = 2x - 5

Step-by-step explanation:

The slope intercept form is : y = mx + b

M = the slope

We need to find two points on this line

Points (3,1) and (4,3) can work

Slope = y2-y1/x2-x1

3-1/4-3 = m = 2

y = 2x + b

Plug in the numbers

1 = 2*3 + b

1 = 6 + b

b = -5

CHECK

3 = 2*4 - 5

3 = 8 - 5

The answer is y = 2x - 5

Answer:

$5.67

Step-by-step explanation:

$5.67

Markup refers to the amount added to the cost price to cover overheads and profit. So for example a 50% markup on a $10 product would mean adding 50% of $10 onto the sale price. As fractions can be written as decimals (50% = 0.5) and we are adding on the amount of markup to the initial cost we can also phrase this as 10 x 1.5 = 15  

For your question, the markup would become 1.1 and the initial cost is 2.7, remembering we must add 1 to the markup to cover the initial cost  

2.7 x 2.1 = 5.67  

The complete statement is -

"Even though the triangles are all different sizes, the decimal values for each ratio are same."

A triangle is a two - dimensional figure with three sides and three angles.

The sum of the angles of the triangle is equal to 180 degrees.

∠A + ∠B + ∠C = 180°

Given is that -

"Even though the triangles are all different sizes, the decimal values for each ratio are ​_____."

We can write the complete statement as -

"Even though the triangles are all different sizes, the decimal values for each ratio are same."

Therefore, the complete statement is -

"Even though the triangles are all different sizes, the decimal values for each ratio are same."

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Based on the given time; the number the second hand points at are;

There are a total of 12 numbers on a clock starting from 1 and ending at 12

There are 60 strokes or lines with equal spaces on a clock

Each stroke or line represents a second

60 seconds = 1 minutes

1. 15 seconds after 1:00.

= The seconds hand points at 3

2. 30 seconds after 1:00.

The seconds hand points at 6

3. 1 minute after 1:00.

1 minutes = 60 seconds

The seconds hand points at 12

4. 5 minutes after 1:00

5 minutes = 300 seconds

The seconds hand points at 12

Therefore, the seconds hand of the given time points at 3, 6, 12 and 12 respectively.

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Answer:

0

I hope this helps!

Answer:

\( \frac{160}{3} \)

Step-by-step explanation:

Step 1: A discount of

\( \frac{1}{3} \)

means that the current price is two thirds of the original cost.

Step 2: The total cost is

\(80 \times \frac{2}{3} = \frac{160}{3} \)

and the answer follows.

Solution:

Note that:

Simplify the expression.

Lynn will pay $53.33.

Answer: The answer is 65.5%

Step-by-step explanation: I hope it helps you!

Answer:

If the formula x=1

- EX; is used to find the mean of the following sample,

what is the value of n?

51, 37, 83, 44, 52, 19, 99, 7, 36, 88

A. 11

B. 10

C. 9

D. 12

The area is 5.627 square units and the perimeter is 12.167 units of the given figure.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

perimeter of the given figure = 3 5/6 + 4 4/3 + 3

perimeter of the given figure = 12 1/6 = 73/6 = 12.167 units

Area of triangle = √[s(s – a)(s – b)(s – c)],

where s is the semi-perimeter of the triangle, and a, b, and c are the lengths of the three sides of the triangle.

According to the given question, we have

a = 3 5/6

b = 4 4/3

c = 3

s = (3 5/6 + 4 4/3 + 3)/2 = 12.167/2 = 6.083

Substitute the values in the area formula, and we get

Area of triangle = √[6.083(6.083 – 3 5/6)(6.083 – 4 4/3)(6.083 – 3)]

Area of triangle = 5.627 square units

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The question seems incomplete, the missing figure has been attached below.

To evaluate the integral ∫∫R 5y^2 dA, where R is the region bounded by the curves xy, we can use the given transformation. Since R is bounded by the curves xy, it means that the region is bounded by the lines x=0, y=0, and xy=1.

To perform the transformation, we substitute x=uv and y=u/v into the integral. The Jacobian of this transformation is 1/v^2. The new limits of integration can be found by considering the original bounds of R.

For x=0, we have uv=0, which implies that u=0 or v=0. For y=0, we have u/v=0, which means that u=0.

For xy=1, we have uv=1, which implies that u/v=1.

Therefore, the transformed region, let's call it S, is bounded by u=0, v=0, and u/v=1.

Now, we can rewrite the integral as ∫∫S 5(u/v)^2 (1/v^2) dudv. Simplifying this expression, we get ∫∫S 5u^2/v^4 du dv.

Evaluating this double integral in region S will give us the desired result.

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Answer:

D, 9^4 * 8^4

Step-by-step explanation:

The rule is whenever you have multiplication inside arentheses and it is raised to a power, you distribute the power to both the number s and solve.

I confirmed D is right on a calculator also.

Answer:

D

Step-by-step explanation:

Answer:

94 degrees

Step-by-step explanation:

So you set those equations equal to 180 to find x.

14x+10+15x-4= 180

29x+6= 180

29x= 174

x=6

So now that x=6, you plug it in to find the bold angle.

14(6)+10

84+10

= 94

Answer: A.

A weak positive correlation

Step-by-step explanation:

A density graph of temperatures shows the frequency of different temperature values.

A density graph for all of the possible temperatures from 60 degrees to 260 degrees can be used to find the probability density function (PDF) of a continuous random variable that represents temperature within that range. The PDF describes the relative likelihood of observing different temperature values within the range, taking into account the continuous nature of temperature.

The density graph shows the distribution of temperature values, with the height of the graph at a given temperature indicating the relative probability of observing that temperature. The area under the density graph within a given range of temperatures represents the probability of observing a temperature within that range.

Therefore, a density graph can be used to find the probabilities of observing different temperatures within the given range and to analyze the distribution of temperatures within that range.

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The leading coefficient of the polynomial is -2, and the degree of the polynomial is 3.

To identify the leading coefficient and degree of the polynomial, we need to consider the highest power of the variable in the polynomial expression.

In the given polynomial, -2y³ is the term with the highest power of y. The coefficient of this term, which is -2, is the leading coefficient of the polynomial. The degree of a polynomial is determined by the highest power of the variable. In this case, the highest power of y is 3 in the term -2y³. Therefore, the degree of the polynomial is 3.

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