determine whether the series converges or diverges. [infinity] n 6 (n 5)4 n = 11 converges diverges

Answer:

y = 10x

Step-by-step explanation:

using slope intercept formula:

Here m, slope is 10, b, y-intercept is 0

so equation:

y = 10x +0

y = 10x

Hello!

Since we have the slope of the line and its y-intercept, we can easily determine its equation:

\(\bf{y=mx+b\:\: (Slope-Intercept)\)

M => slope

B=> y-intercept

Now, m=10, and b=0:

\(\bf{y=10x+0\)

Final Answer:

\(\bf{y=10x\)

I hope it helps you!

Good luck and enjoy your day!

-SnowFlake

1. The slope of each object are: a) 0.6. b) 1.375.

2. The slope of the road section is 0.02.

3. No, a wheelchair ramp with a vertical rise of 1.4 m along a horizontal run of 8 m does not satisfy the regulation.

4. The slope of each line segment are: a) 0.6. b) -0.6.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

By substituting the given data points into the formula for the slope of a line, we have the following;

Part 1

Slope of a = 3/5

Slope of a = 0.6

Slope of b = 4.4/3.2

Slope of b = 1.375

Part 2.

Slope of road section = 2.5/152

Slope of road section = 0.0165 ≈ 0.02.

Part 3.

Slope of wheelchair ramp = 1.4/8

Slope of wheelchair ramp = 0.0175 ≈ 0.02.

Part 4.

a) The rise for graph a is 3 units.

The run for graph a is 5 units.

Slope of graph a = 3/5

Slope of graph a = 0.6

b) The rise for graph b is -3 units.

The run for graph b is 5 units.

Slope of graph b = -3/5

Slope of graph b = -0.6

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The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

How to find the volume of a rectangular prism and pyramid?

The formula for the volume of a rectangular prism is:

Volume = Length * Width * Height

The formula for the volume of a pyramid is:

Volume = (Base Area * Height) / 3

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.

Hence, the volume of the rectangular prism is greater than the volume of the pyramid with the same height and base. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.

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The income level that results in the maximum test score is approximately $45.63.. The correct answer is not provided among the given options.

To find the income level that results in the maximum test score, we need to determine the maximum point of the function represented by the equation: 607.3 + 3.85Income - 0.0423Income^2.

To find the maximum point, we can take the derivative of the function with respect to Income and set it equal to zero. Then we solve for Income.

Let's differentiate the function:

d/dIncome (607.3 + 3.85Income - 0.0423Income^2) = 3.85 - 2 * 0.0423 * Income

To find the maximum point, we set the derivative equal to zero:

3.85 - 2 * 0.0423 * Income = 0

Simplifying:

3.85 = 2 * 0.0423 * Income

Dividing both sides by 2 * 0.0423:

Income = 3.85 / (2 * 0.0423)

Income ≈ 45.63

Therefore, the income level that results in the maximum test score is approximately $45.63.

Among the given answer choices:

A. 607.3 is the constant term in the equation and does not represent an income level.

B. 91.02 is not the income level that results in the maximum test score.

C. 45.50 is close to the correct answer, but the correct approximation is $45.63.

D. The correct answer has been determined using calculus.

So, the correct answer is not provided among the given options.

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The value of L₁L₂ from the string is found to be {10011, 11011, 101, 11}.

The concatenation of L₁ and L2, abbreviated as L₁L₂, is the set of all possible combinations created by concatenating each string from L1 with each string from L₂, assuming that L₁ = "10, 1" and L₂ = "011, 11".

L₁L₂ = {xy | x is in L₁, and y is in L₂}

L₁L₂ = {xy | x is in {10, 1}, and y is in {011, 11}}

Evaluating the concatenation, we obtain,

L₁L₂ = {10011, 11011, 101, 11}

Therefore, L₁L₂ is the set {10011, 11011, 101, 11}.

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Answer:

5q²(3p² + 5q)

Step-by-step explanation:

15p²q² + 25q³ ← factor out 5q² from each term

= 5q²(3p² + 5q)

Hey there!

15p²q² + 25q³

= 5q²(3p² + 5q)

Just factorise the common factors out. In this case, the common factors are :- 5q².

Hope it helps ya!

Step-by-step explanation:

Since both lines intersect each other 3 units above the x-axis, the y-value of the point of intersection must be 3.

Looking at the options, (-3, 5), (3, -2) and (0, -3) are all invalid points.

The points that can not be the intersection points are:

(-3, 5), (3, -2), and (0, -3)

Options B, C, and D are the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

A line with a negative slope intersects a horizontal line 3 units above the x-axis.

This means,

The y-coordinate will be 3.

The y-intercept is y = 3.

The points of intersection will have the following form,

= (x, 3)

Thus,

(-3, 5), (3, -2), and (0, -3) can not be the intersection points.

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What is one major limitation of the Social Readjustment Rating Scale?

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Answer:

-0.6 or -(3/5)

Step-by-step explanation:

Let's simplify the left-hand side of the equation first:

4(2x+5)-2(x-3)

= 8x + 20 - 2x + 6 [distributing the multiplication and simplifying the parentheses]

= 6x + 26

Now let's simplify the right-hand side of the equation:

8(2x+4)

= 16x + 32

So the equation becomes:

6x + 26 = 16x + 32

Let's isolate x on one side of the equation:

6x - 16x = 32 - 26

-10x = 6

x = -0.6

Therefore, the solution to the equation is x = -0.6.

Answer:

Step-by-step explanation:

\(G = \sqrt{ \frac{m - 5}{2} }\)

To make m the subject square both sides of the equation

That's

\( \frac{m - 5}{2} = {G}^{2} \)

Cross multiply

m - 5 = 2G²

Move 5 to the right side of the equation to make m stand alone

We have the final answer as

Hope this helps you

Answer:

A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for .

The rectangle is 4 inches long and 3 inches wide. The semi-circle sits on top of the rectangle on a side that is 4 inches long.

Step-by-step explanation:

Using the provided values and the conditions, The inequality equations required are : \(x+y \leq 20\) and \(450x+200y \geq 4800\).

An equation is a mathematical statement in which two expressions are set equal to each other. It is typically written using an "=" sign, with the expressions on either side of the sign representing equivalent values. For example, the equation 2 + 2 = 4 states that the value of 2 plus 2 is equal to the value of 4. Equations can be used to express relationships and to solve problems.

An inequality is a mathematical statement that compares two values or expressions. It is similar to an equation, but instead of using the "=" sign to indicate that the two sides are equal, it uses one of the following symbols: ">", "<", "≥", "≤" to indicate that the two sides are not equal. For example, the inequality 2 + 2 > 4 states that the value of 2 plus 2 is greater than 4. Similarly, the inequality 2 + 2 < 4 states that the value of 2 plus 2 is less than 4. Inequalities can be used to express constraints in a problem or to define a range of solutions. They can also be represented graphically by using a number line.

x= number of tables sold

y= number of chair sold

max furniture in a day = 20

so, \(x+y \leq 20\).

least selling amount = 4800

so, \(450x+200y \geq 4800\)

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Answer:

Coeffecients are the letters before the numbers.

1. 9 and 4

2. 40 and 10

3. etc

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

-9/3 = -3. A negative divided by a positive is always a negative number.

Answer:

-3

Step-by-step explanation:

negative/positive = negative

if 9/3 = 3, then

-9/3= -3

There is an outstanding bond from BP with a 15-year maturity, a $1,000 par value, a 6.9% coupon rate that is paid semi-annually, and a price of 98.17. As a result, the annual cost of debt for this bond is roughly 8.5 percent.

To calculate the cost of debt, we need to determine the yield to maturity (YTM) of the bond. The YTM is the rate of return an investor would earn by purchasing the bond and holding it until maturity. We can use the bond pricing formula to calculate the YTM.

The bond pricing formula is as follows:

\(\text{Bond Price} = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Where:

C = Coupon payment

r = Yield to maturity (YTM)

n = Number of periods

M = Par value

Given information:

Coupon payment (C) = \(\$1,000 \times \frac{6.1\%}{2} = \$30.50\)

Par value (M) = $1,000

Bond price = $1,000 × 83.57% = $835.70

We know the bond has 15 years to maturity, and coupons are paid semiannually. So, the number of periods (n) is 15 years × 2 = 30.

Using the bond pricing formula, we can rearrange it to solve for the YTM:

\(Bond Price = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Substituting the given values:

\($835.70 = \left(\frac{{\$30.50 \times (1 - (1 + r)^{-30})}}{{r}}\right) + \left(\frac{{\$1,000}}{{(1 + r)^{30}}}\right)\)

To find the YTM, we need to solve this equation either algebraically or using numerical methods like trial and error or using financial calculators/spreadsheets.

By using a financial calculator or spreadsheet, we find that the YTM is approximately 8.5%. Therefore, the cost of debt for this bond is approximately 8.5% per year.

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Complete question :

Problem 17 Intro BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.1%, with coupons paid semiannually, and a price of 83.57 (percent of par). | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt? B+ decimals Submit

Answer:

466 miles

Step-by-step explanation:

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The no. of ways to select the 2 blue balls and 2 orange balls from the urn is 0.4545

No. of Blue balls in the urn = 6

No. of Orange balls in the urn = 6

Total no. of balls in the urn = No. of blue balls + No. of orange balls

                                            = 6 + 6

                                           = 12 balls

No. of blue balls to be selected = 2

No. of orange balls to be selected = 2

No. of balls to be selected = 4

The total. no of ways 4 balls can be selected =\(^{12}C_{4}\)

The No. of ways 2 blue balls can be selected = \(^{6}C_{2}\)

The No. of ways 2 orange balls can be selected =    \(^{6}C_{2}\)

Therefore, No. of ways to select 2 blue balls and 2 orange balls from the urn

                      =  \(^{6}C_{2} \times ^{6}C_{2} /^{12}C_{4}\)

Probability = No. of ways to select blue balls x No. of ways to select orange balls / Total no. of ways to select balls

                         P = (15×15)/495

                             = 225 / 495

                          P = 0.4545

Therefore,  the no. of ways to select blue and orange balls is 0.4545

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The slopes for each segment are given as follows:

The lengths of each segment are given as follows:

Hence DE = 0.5 = AC, and thus DE is the midsegment of triangle ABC.

The slope of a set of two points is given by the change in y between the two points divided by the change in x between the two points.

Both segments in this problem, DE and AC, are horizontal lines, meaning that the change in y is of zero while the change in x is different of zero, thus the slope is calculated as follows:

Slope = Zero/Constant different of Zero = Zero.

The lengths of each of the horizontal segments is obtained subtracting the x-coordinates, as follows:

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JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Answer:48%

Step-by-step explanation:

have a good day

Answer:

- 18\(\sqrt{10}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Given

(6\(\sqrt{2}\) )(- 3\(\sqrt{5}\) )

= 6 × - 3 × \(\sqrt{2}\) × \(\sqrt{5}\)

= - 18 × \(\sqrt{10}\)

= - 18\(\sqrt{10}\)

The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.

To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).

Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result

Probability = 5 / 28

Simplifying this fraction, we get:

Probability ≈ 0.1786

Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

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The bearing of the individuals from each other are as indicated below;

It follows from the task content that the bearing of the individuals from each other are expected to be determined.

a) For Henley from Dinder; it follows from observation that Henley is; S45°E of Dinder's position.

b) For Dinder from Weare; it follows from observation that Dinder is; N25°E of Weare's position.

c) For Weare from Dinder; it follows from observation that Weare is; S65°E of Dinder's position.

d) For Weare from Henly; it follows from observation that Weare is; S15°E of Dinder's position.

e) For Dinder from Henly; it follows from observation that Dinder is; N45°E of Henly's position.

f) For Henly from Weare; it follows from observation that Henly is; N75°E of Weare's position.

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The number of ways the student answer the questions = 3300

In this question, we have been given that out of the first 11 questions on a test, a student must answer 7. of the second 5 questions, the student must answer 3.

We need to find the number of ways the student answer the questions.

of the first 11 questions on a test, a student must answer 7.

Let n1 be the number of ways this can be done.

n1 = 11C7

n1 = 330

of the second 5 questions, the student must answer 3.

Let n2 be the number of ways this can be done.

n2 = 5C3

n2 = 10

So, the required combination would be,

n = n1 * n2

n = 330 * 10

n = 3300

Therefore, the number of ways the student answer the questions = 3300

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The value of probabilities are,

P (1, 1) = 1 / 36 = 0.027

P (both odd) = 0.166

P (even, odd) = 0.25

P (2 anywhere) = 0.3055

P (sum 8) = 0.1389

P (sum 1) = 0

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

Two dice are rolled at the same time.

Hence, There are total number of possibilities = 36

Thus, The value of P (1, 1) is,

P (1, 1) = 1 / 36

Since, There are 6 possibilities when both dice have rolled to get odd.

Hence, The value of P (both odd) is,

P (both odd) = 6 / 36

                   = 1/ 6

Since, There are 9 possibilities to get first dice even and second odd.

Hence, The value of P (even, odd) is,

P (even, odd) = 9/36

                     = 1/4

Since, There are 11 possibilities when 2 is in anywhere.

Hence, The value of P (2 anywhere) is,

P (2 anywhere) = 11/36

Since, There are 5 possibilities to get sum 8.

Hence, Value of P (sum 8) is,

P (sum 8) = 5/36

Since, There are no possibilities to get sum 1.

Hence, P (sum 1) = 0

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Answer:

C there is no solution

Step-by-step explanation:

These 2 equations are the same but equal too different things so they are parralell

hopes this helps

Answer: If there are 12 identically matched points on the picture of the sun, then the angle between any two adjacent points is 360/12 = 30 degrees.

When you line up two suns directly on top of each other, all of the matched points on the top sun will line up with the corresponding matched points on the bottom sun.

To find the least number of degrees that you can rotate the top sun so that the two suns are perfectly aligned again, you need to find the smallest angle that is a multiple of 30 degrees.

The smallest angle that is a multiple of 30 degrees is 360 degrees, which is equivalent to rotating the top sun all the way around once. Therefore, the least number of degrees that you can rotate the top sun so that the two suns are perfectly aligned again is 360 degrees.

Step-by-step explanation:

Area of roundabout = 153.86 yd2

we are given,

radius = 7 yd

Area of circle = π \(r^{2}\)

= 3.14 × 7× 7

= 153.86 yd2

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. The unit of area is the square unit,

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To determine which method can be used to prove the similarity of the given triangles, use SAS, SSS, and AA.

To determine which method can be used to prove the similarity of the given triangles, let's briefly discuss each method:

a) SAS~ (Side-Angle-Side Similarity): If two sides of a triangle are proportional to two sides of another triangle, and their included angles are congruent, then the triangles are similar.

b) SSS~ (Side-Side-Side Similarity): If all three sides of a triangle are proportional to the corresponding sides of another triangle, then the triangles are similar.

c) AA~ (Angle-Angle Similarity): If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Unfortunately, I cannot see the given triangles in your question, but based on the provided information, you can use these explanations to determine which method (SAS~, SSS~, or AA~) can be used to prove their similarity. If none of these methods apply, then similarity cannot be proved for the triangles.

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Answer: x=3 ; y=13

Step-by-step explanation:

1. isolate y from equation to substitute into the second equation

y= 16-x ---> (16-x) = 3x+4

2. move to one side and solve for x

4x=12 --> x=3

3. plug in x value to solve for y

3+y=16 or 3(3)+4

y=13

Answer:

15%

I like your demon slayer profile picture

Answer:

The answer is 15%.

Step-by-step explanation:

If 100 is 10% it only makes since that 15% is the right answer.

Hope This Helps!