Find the radius of convergence, R, of the series. OD x40 Σ n = 1 n! R = Find the interval, I, of convergence of the series.

The area of each of the quadrilateral is calculated as:

11. 48 square meters;  12. 144.3 square centimeters;   13. 8.2 square yards.

14. 132 square yds;  

The area of each quadrilateral = height * base/width

11. Height = 6 m

Base = 8 m

Area= 6 * 8 = 48 square meters.

12. Height = 13 cm

Base = 11.1 cm

Area= 11.1 * 13 = 144.3 square centimeters.

13. Height = 4.1 yd

Base = 2 yd

Area= 2 * 4.1 = 8.2 square yards.

14. Height = 12 yd

Base = 11 yd

Area= 11 * 12 = 132 square yds

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The other possibility is that the new battery will last longer on average than the known average battery life of the previous model. A one-sample t-test for a population mean is an appropriate test for the researchers' hypothesis. So, option B. is the correct choice.

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(a) The fraction of his money spend on a book is 12/40 = 3/10

Money spent on books

3/5 = x/2

3/5 = 40/2

Hence, at a fraction of money is 12/40 = 3/10

(b) Roy has money at first is $40

Roy spent money on game boys = 1/2

He spent money on books = 3/5

Let Roy has money = x

Money on game boys

= 1/2 of x = x/2

Money spent on books

= 3/5 = x/2

= 3x/10

= x/2 - 3x/10

= 5x/10 - 3x/10

= 2x/10

But the remaining money = $8

= x/5 = 8

= x = 40

Therefore, Roy has money at first = $ 40

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The formula A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 is used to find the area of a parallelogram whose vertices are given. The vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0). The area of the parallelogram is 11/2 square units.

To find the area of a parallelogram whose vertices are given, we use the formula

A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 .

Here, ax and ay are the x and y coordinates of vertex A, bx and by are the x and y coordinates of vertex B, and cx and cy are the x and y coordinates of vertex C. Given the vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0).We will use the above formula to find the area of the parallelogram.

Area = |(-2(3)-0(1)+1(0)) + (0(0)-3(-1)+(-1)(-2))|/2

=|(-6+0+0)+ (0+3+2)|/2

=11/2 square units.

Hence, the area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

Therefore, the answer is: The area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

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The approximate values of the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values represent the values at which the polynomial equation evaluates to zero, indicating the roots of the equation.

To find the roots of a polynomial equation, we set the equation equal to zero and solve for the unknown variable. In this case, we have a polynomial equation with non-integral roots.

To obtain the approximate values of these roots, numerical methods such as iterative methods or numerical approximation techniques can be used. These methods involve making educated guesses and refining the guesses until the equation evaluates to zero.

The resulting approximate values for the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values are not exact, but they are close approximations to the actual roots of the equation.

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Answer:

x+3= 2x when x = 3

3+3 = 2*3

6= 6

They are not equal when x is any other number rather than 3

Answer:

The answer is option 2 6y(4y+1)

Step-by-step explanation:

if you use the FOIL system you would multiply 6y by 4y to get 24y^2

then multiply 6y and 1 to get 6y

then put your two answers together to get 24y^2+6y

Answer:

2.83 units diagonally

2 units horizontally and 2 units vertically

Step-by-step explanation:

x position difference      -2-(-4)=2

y position difference       7-5=2

2 units horizontally and 2 units vertically on a graph

2^2+2^2=8

sq rt 8=2.83 units

Part B (Taxi):

12 miles = 0.5 miles + (115×0.1) miles

Rate: $2.40 + (115×0.20)

         = $25.40

Total cost (with tip): $25.40 + $2

                               = $27.40

20 miles = 0.5 miles + (195×0.1) miles

Rate: $2.40 + (195×0.20)

         = $41.40

Total cost (with tip): $41.40 + $2

                               = $43.40

50 miles = 0.5 miles + (495×0.1) miles

Rate: $2.40 + (495×0.20)

         = $101.40

Total cost (with tip): $101.40 + $2

                               = $103.40

Part B (Uber):

12 miles (rate) = $1 + ($1.05×12)

                        = $13.60

Total cost (with tip): $13.60 + $2

                               = $15.60

20 miles (rate) = $1 + ($1.05×20)

                         = $22

Total cost (with tip): $22 + $2

                               = $24

50 miles (rate) = $1 + ($1.05×50)

                        = $53.50

Total cost (with tip): $53.50 + $2

                               = $55.50

Part C

Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.

Answer:

19h-14h=23+7  or,3h=30 therefore,h=10

Step-by-step explanation:

Step-by-step explanation:

\(19h-7=23+14h\)

\( \rightarrow \: 19h - 14h = 23 + 7\)

\( \longrightarrow \: 5h = 30\)

\(\longrightarrow \: h \: = \frac{30}{5} \)

\(\longrightarrow \fcolorbox{red}{green}{h= 6}\)

to prove that the h = 6

putting the value of h

\(19h-7=23+14h\)

\(\longrightarrow19 \times 6 - 7 = 23 + 14 \times 6\)

\(\longrightarrow \: 114 - 7 = 23 + 84\)

\(\longrightarrow \: 107 = 107\)

\(\longrightarrow \fcolorbox{red}{green}{LHS=RHS}\)

hence its proved

Answer:

Step-by-step explanation:

If m and n are both 1 then

Minimum value = 10^(1+1) * 3^(1-1) * 225

= 325.

If m and n have to be different, then m = 2 and n = 1

Minimum value = 10^3 * 3^1 * 15^2

= 675,000.

Answer:

im not quite sure but what i got was 19.9

Answer:

  a.  0

Step-by-step explanation:

You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.

Since we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.

The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...

  lim[x→0] (k(x) -1)/k(x)

The limit of k(x) as x → 0 is 1, so this becomes ...

  lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0

At x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1

The fact that k(0) = 0 is irrelevant with respect to this limit.

__

Additional comment

We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.

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Answer:

4

Step-by-step explanation:

Mark me as brainlist ez

Answer:

-4

Step-by-step explanation:

13, 9, 5, 1, -3, -7, .......

Answer: x = -5

Step-by-step explanation:

4−2(x+7)=3(x+5)4-2(x+7)=3(x+5)Simplify 4−2(x+7)4-2(x+7).Tap for more steps...−2x−10=3(x+5)-2x-10=3(x+5)Simplify 3(x+5)3(x+5).Tap for more steps...−2x−10=3x+15-2x-10=3x+15Move all terms containing xx to the left side of the equation.Tap for more steps...−5x−10=15-5x-10=15Move all terms not containing xx to the right side of the equation.Tap for more steps...−5x=25-5x=25Divide each term in −5x=25-5x=25 by −5-5 and simplify.Tap for more steps...x = −5

Answer:

-3

Step-by-step explanation:

k/-11

Let k =33

33/ -11

-3

Answer:

-3

Step-by-step explanation:

33/-11 = -3

NOTE

division and multiplication = negative

addition and subtraction are a pair.

I hope this helped!

Answer:

77/32...2 13/32

Step-by-step explanation:

11/12*21/8

Keep Change Change

HOPE THIS HELPS

The given fraction (x^2-25)/(x^2-x-20) expressed in simplest form is (x+5)/(x+4). (Option C)

A fraction is in simplest form if the numerator and denominator have no common factors other than 1. In order to solve the given fraction, the numerator and denominator must be factorized, and the common factor will be canceled out.

Factoring x^2 – 25 using the difference of squares formula that states that a^2 – b^2 = (a + b)(a - b)

x^2 – 25 = x^2 – 5^2 = (x + 5)(x – 5)

Factoring x^2 – x – 20,

x^2 – x – 20 = x^2 + 4x – 5x – 20 = x(x + 4) -5(x + 4) = (x + 4)(x – 5)

Hence, factor (x – 5) is there in both numerator and denominator, it is canceled out. Hence the fraction in the simplest form is:

(x + 5)(x – 5)/ (x + 4)(x – 5) = (x + 5)/(x + 4)

Note: The question is incomplete.  The complete question probably is:  What fraction represents(x^2-25)/(x^2-x-20) expressed in simplest form. A) 5/4 B) (x-5)/(x-4) C) (x+5)/(x+4) D)25/(x+20)

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MaryAnn and Nana's surveys will provide them with quantitative data, which is numerical data that can be measured and analyzed using mathematical or statistical methods.

Quantitative data refers to numerical information that can be measured and expressed in terms of numbers or quantities. It is often obtained through structured research methods such as surveys, experiments, and statistical analyses. This type of data is objective, reliable, and precise, and can be easily analyzed using statistical techniques.

Quantitative data can be divided into two main categories: discrete data and continuous data. Discrete data can only take specific values, such as the number of people in a room or the number of cars in a parking lot. Continuous data, on the other hand, can take any value within a certain range, such as height, weight, or temperature. Quantitative data can provide valuable insights into patterns, trends, and relationships between variables, making it an essential tool for decision-making in various fields, including business, science, and social research.

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The number of miles in 4 weeks is 20 mules

From the question, we have the following parameters that can be used in our computation:

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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Answer:

After Multiplying them.

we get 0 as an answer.

Answer:

1.) 5,0,-3, -6,-3,0,5 (use the points for the graph and connect them together)

2.a) (0,9) He is starting at the heighest point of the ramp, its the height of where he starts walking.

b.) (10,4) The point where they both are at the same height, at the same time.

c.) (18,0) This is when he reaches to ground level or to 0 feet after a certain amount of time, 18 seconds.

The correct answer is ±(2-i).

Given function,

√3-4i

Further solving,

Assume,

√3-4i = x + iy

3 - 4i = x² - y² + 2ixy

Comparing both sides,

x² - y² = 3......(1)

2ixy = -4i

So,

xy = -2........(2)

(x² + y²)² = (x² - y²)² + 4x²y²

= 3² + (-4)²

= 25

(x² + y²)² = 25

(x² + y²) = 5.........(3)

from 1 and 3

x² = 4

x = ±2

y² = 1

y = ±1

Thus the square root of 3 - 4i is ±(2-i).

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Answer: The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Step-by-step explanation:

EDGE2021

The required probability is 0.6915.

To find the probability of selecting a tank with a capacity less than 8550 gallons, we have to do following calculations:

Probability that a randomly selected tank will have a capacity of less than 8550 gallons is given by = P(X < 8550 gallons)

     P(X < 8550 gallons) = P(  <  ) = P(Z < 0.50) = 0.6915

The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.6915.

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The equation of the line passing through the midpoint of the line segment defined by the points (2,8) and (0,4) and perpendicular to the line whose equation is given by -3x + 6y is y = -2x + 8.

Given line is, -3x + 6y = 0
Midpoint formula: (x1+x2/2, y1+y2/2)
Here, (2, 8) and (0, 4) are the points given.
Therefore, the midpoint is: (2+0/2, 8+4/2) = (1, 6)
The slope of the given line -3x + 6y = 0 is m1 = 1/2 (Coefficient of x)
The slope of a line perpendicular to the given line is -1/m1 = -1/(1/2) = -2
We have the slope and a point (1,6).Therefore, we can use point-slope form to find the equation of the line passing through (1,6) and having a slope of -2.y - y1 = m(x - x1)
Substituting the given values, we get
y - 6 = -2(x - 1)
Expanding the equation
y - 6 = -2x + 2y = -2x + 8
Thus, the equation of the line passing through the midpoint of the line segment defined by the points (2,8) and (0,4) and perpendicular to the line whose equation is given by -3x + 6y is y = -2x + 8

Hence, the equation of the line passing through the midpoint of the line segment defined by the points (2,8) and (0,4) and perpendicular to the line whose equation is given by -3x + 6y is y = -2x + 8.

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Answer:

(6, 1)

Step-by-step explanation:

Answer:

centre = (6, 1 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 12x - 2y + 12 = 0

Collect the x and y terms together and subtract 12 from both sides

x² - 12x + y² - 2y = - 12

To obtain the equation in standard form use completing the square

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(- 6)x + 36 + y² + 2(- 1)y + 1 = - 12 + 36 + 1

(x - 6)² + (y - 1)² = 25 ← in standard form

with centre = (6, 1 ) and radius = \(\sqrt{25}\) = 5

Answer:

x=71

Step-by-step explanation: