What is the 149th term in the arithmetic sequence below?
3 11 19 27

A) a(149) = 1187

B) a(149) = 1199

C) a) 149) = 1184

D) a(149) = 1189

I got 141 obviously that's completely incorrect plz help ​

Answer: B) 20 cm

Step-by-step explanation:

C = 2 X R

C = 2 x 10

RADIUS = 10  DIAMETER = 20

C = 20 cm

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

we know that

the volume of the cone is equal to

we have

pi=3.14

r=13 cm

h=16 cm

substitute

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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The function is f(x) = 20(2)^x.

To determine the function that describes the graph passing through the points (1,20) and (3,320), we can use the general form of an exponential function: f(x) = ab^x, where 'a' is the initial value or y-intercept, and 'b' is the base.

Using the given points, we can substitute the x and y coordinates into the equation to form two equations:

Equation 1: 20 = ab^1

Equation 2: 320 = ab^3

To solve this system of equations, we can divide Equation 2 by Equation 1:

(320/20) = (ab^3)/(ab^1)

16 = b^2

Taking the square root of both sides, we find:

b = ±4

Since an exponential function cannot have a negative base, we can conclude that b = 4.

Substituting the value of b into Equation 1:

20 = a(4)^1

20 = 4a

a = 5

Thus, the function that describes the graph passing through the given points is f(x) = 5(4)^x, or f(x) = 20(2)^x, where a = 5 and b = 2.

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Answer:

The correct inequality to represent this scenario is: C. 35 + 4x ≤ 75

Explanation: Penelope has a fixed fee of $35 to rent the kayak and an hourly fee of $4. To find the maximum number of hours she can rent the kayak, we need to find the value of x that makes the inequality 35 + 4x ≤ 75 true. In this inequality, 35 is the fixed fee and 4x represents the total cost of renting the kayak for x hours. To solve for x, we need to subtract 35 from both sides of the inequality to get 4x ≤ 40. Then, we need to divide both sides by 4 to get x ≤ 10. This means that Penelope can rent the kayak for a maximum of 10 hours.

Answer:

i think it is 102

Step-by-step explanation:

first u solve the equation to find

then substitute and solve for at a tb

next just add them to find

The probability that at least 22 out of 25 computers will work in good condition is approximately 0.0250, or 2.5%.

To calculate the probability that at least 22 out of 25 computers will work in good condition, we can use the binomial distribution formula.

The binomial distribution formula is given by:

\(P(X = k) = C(n, k) \times p^k \times (1 - p)^{(n - k)\)

Where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the number of ways to choose k items from a set of n items (also known as the binomial coefficient),

p is the probability of success on a single trial, and

n is the total number of trials.

In this case, n = 25 (the total number of computers selected), k ranges from 22 to 25 (at least 22 working computers), and p = 0.89 (probability of a computer working, which is 1 - 0.11).

Let's calculate the probability using these values:

P(X ≥ 22) = P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)

\(P(X = k) = C(25, k) \times 0.89^k \times 0.11^{(25 - k)\)

\(P(X = 22) = C(25, 22) \times 0.89^{22} \times 0.11^3\)

\(P(X = 23) = C(25, 23) \times 0.89^{23} \times 0.11^2\)

\(P(X = 24) = C(25, 24) \times 0.89^{24} \times 0.11^1\)

\(P(X = 25) = C(25, 25) \times 0.89^{25} \times 0.11^0\)

Calculate the binomial coefficients, we can find:

P(X = 22) ≈ 0.0210

P(X = 23) ≈ 0.0038

P(X = 24) ≈ 0.0002

P(X = 25) ≈ 0.0000

Finally, summing up these probabilities:

P(X ≥ 22) ≈ 0.0210 + 0.0038 + 0.0002 + 0.0000

≈ 0.0250

Therefore, the probability that at least 22 out of 25 computers will work in good condition is approximately 0.0250, or 2.5%.

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\(~~~~~1-x < 5\\\\\implies -x < 5-1\\\\\implies -x < 4\\\\\implies x > -4\\\\\text{Interval notation:}~ (-4, \infty)\)

To find the limit using direct substitution, we simply plug in the given value into the function and see what the output is.

we are not given the function or the value we are supposed to plug in, so we cannot provide a specific answer. However, if we were given a function and a value, we would substitute the value into the function and simplify the expression. If the simplified expression does not have any undefined values (such as dividing by zero), then the limit exists and is equal to the output of the simplified expression.

To summarize, finding the limit using direct substitution involves substituting a given value into a function and simplifying the expression. If the simplified expression does not have any undefined values, then the limit exists and is equal to the output of the simplified expression.

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Answer:

\(total \: number \: of \: rolls = 6 \\ number \: of \: rollsof \: \: green = x \\ number \: of \: rolls \: of \: yellow = 6 - x \\ then \: \\ x \times 9 + (6 - x) \times 1 = 22 \\ 9x + 6 - x = 22 \\ 8x + 6 = 22 \\ 8x = 22 - 6 \\ 8x = 16\\ x = \frac{16}{8} \\x = 2\\then \: number \: of \: green \: = x = 2 \\ number \: of \: yellow = 6 - x = 6 - 2 = 4 \\ thank \: you\)

Dana found 6 rolls of yellow ribbon and green ribbon. Each roll of yellow ribbon was 1 meter long and each roll of green ribbon was 9 meters long. If Dana found 22 meters of ribbon in total, Dana found 4 rolls of yellow ribbon and 2 rolls of green ribbon.

Let's assume the number of rolls of yellow ribbon is "x" and the number of rolls of green ribbon is "y".

Each roll of yellow ribbon is 1 meter long, so the total length of yellow ribbon would be "x" meters.

Each roll of green ribbon is 9 meters long, so the total length of green ribbon would be 9y meters.

The problem states that the total length of ribbon found is 22 meters, so we can set up the equation:

x + 9y = 22

We also know that Dana found 6 rolls of ribbon in total, so we can set up another equation:

x + y = 6

We now have a system of equations:

x + 9y = 22

x + y = 6

To solve this system of equations, we can use the substitution or elimination method.

Let's use the elimination method to solve the system:

Multiply the second equation by 9 to make the coefficients of "x" the same:

9(x + y) = 9(6)

9x + 9y = 54

Now we can subtract the first equation from the modified second equation:

(9x + 9y) - (x + 9y) = 54 - 22

8x = 32

x = 32 / 8

x = 4

Substitute the value of x back into the second equation:

4 + y = 6

y = 6 - 4

y = 2

Therefore, Dana found 4 rolls of yellow ribbon and 2 rolls of green ribbon.

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Answer:

81.2ft

Step-by-step explanation:

33 = h/125

With the help of permutation and combination we conclude that the correct matches are:

Ordered selections with repetition: [choose]

Ordered selection without repetition: [choose]

Unordered selection without repetition: [choose]

Unordered selection with repetition: [choose]

What is permutation?

In mathematics and combinatorics, a permutation refers to an arrangement or ordering of objects. It is a way of selecting and arranging a set of items in a specific order.

Here's how the selection types correspond to the number of ways the selection can happen:

Ordered selections with repetition: [choose]

In this selection type, the order of selection matters, and repetition is allowed. This means that an object can be selected multiple times. The number of ways to make the selection is denoted by \(n^k\), where n represents the number of available objects and k represents the number of objects to be selected.

Ordered selection without repetition: [choose]

In this selection type, the order of selection matters, but repetition is not allowed. Each object can be selected only once. The number of ways to make the selection is denoted by P(n, k), which represents the number of permutations of k objects chosen from n distinct objects. The formula for P(n, k) is n! / (n - k)!

Unordered selection without repetition: [choose]

In this selection type, the order of selection does not matter, and repetition is not allowed. Each object can be selected only once. The number of ways to make the selection is denoted by C(n, k) or n choose k, which represents the number of combinations of k objects chosen from n distinct objects. The formula for C(n, k) is n! / (k! * (n - k)!).

Unordered selection with repetition: [choose]

In this selection type, the order of selection does not matter, and repetition is allowed. Each object can be selected multiple times. The number of ways to make the selection is denoted by C(n + k - 1, k) or (n + k - 1) choose k, which represents the number of combinations of k objects chosen from n distinct objects when repetition is allowed. The formula for C(n + k - 1, k) is (n + k - 1)! / (k! * (n - 1)!).

So, the correct matches are:

Ordered selections with repetition: [choose]

Ordered selection without repetition: [choose]

Unordered selection without repetition: [choose]

Unordered selection with repetition: [choose]

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Answer:

4

Step-by-step explanation:

subsitute the value of the variable into the expression and simplify.

Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

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By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

The quote by Bertrand Russell emphasizes that deriving pleasure from work is not limited to eminent scientists or leading statesmen.

Instead, anyone who possesses specialized skills and finds satisfaction in exercising those skills can experience the pleasure of work. However, it is important not to seek universal applause or recognition as a requirement for finding fulfillment in one's work. In the following discussion, I will focus on the type of work that I consider significant, and I will reference the theory of Aristotle.

One type of work that I find significant is teaching. Teaching involves imparting knowledge, shaping minds, and contributing to the growth and development of individuals. It is a profession that requires specialized skills such as effective communication, adaptability, and the ability to facilitate learning.

In the context of Aristotle's theory, teaching can be seen as fulfilling the concept of eudaimonia, which is the ultimate goal of human life according to Aristotle. Eudaimonia refers to flourishing or living a fulfilling and virtuous life. Aristotle believed that eudaimonia is achieved through the cultivation and exercise of our unique human capacities, including our intellectual and moral virtues.

Teaching aligns with Aristotle's theory as it allows individuals to develop their intellectual virtues by continuously learning and expanding their knowledge base. Furthermore, it enables them to practice moral virtues such as patience, empathy, and fairness in their interactions with students and colleagues.

According to Aristotle, the pleasure derived from work comes from the fulfillment of one's potential and the realization of their virtues. Teachers experience satisfaction and pleasure when they witness their students' progress and success, knowing that they have played a role in their growth. The joy of seeing students grasp new concepts, overcome challenges, and develop critical thinking skills can be immensely gratifying.

Furthermore, Aristotle's concept of the "golden mean" is relevant to finding pleasure in teaching. The golden mean suggests that virtue lies between extremes. In the case of teaching, the pleasure of work comes not from seeking universal applause or excessive external validation but from finding a balance between personal fulfillment and the genuine impact made on students' lives.

In conclusion, teaching is a significant type of work where individuals can find pleasure and fulfillment by utilizing their specialized skills and contributing to the growth of others. Aristotle's theory aligns with the notion that the joy of work comes from the cultivation and exercise of virtues, rather than solely seeking external recognition or applause. The satisfaction derived from teaching stems from the inherent value of the profession itself and the impact it has on students' lives, making it a meaningful and significant form of work.

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The limit of the given expression as δx approaches 0 is 0.

To find the limit of the expression lim δx→0 sin^6(δx) - 12δx, we can use some trigonometric identities and algebraic manipulation.

Using the identity sin(2θ) = 2sin(θ)cos(θ), we can rewrite the expression:

lim δx→0 (sin^2(δx))^3 - 12δx

Next, we can use another trigonometric identity sin^2(θ) = 1 - cos^2(θ) to further simplify:

lim δx→0 ((1 - cos^2(δx))^3 - 12δx

Expanding the cube and rearranging the terms:

lim δx→0 (1 - 3cos^2(δx) + 3cos^4(δx) - cos^6(δx) - 12δx)

Now, we can consider the limit as δx approaches 0. Since all the terms in the expression except for -12δx are constants, they do not affect the limit as δx approaches 0. Therefore, the limit of -12δx as δx approaches 0 is simply 0.

lim δx→0 -12δx = 0

Therefore, the limit of the given expression as δx approaches 0 is 0.

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We can calculate the double integral over the region in the xy-plane where the two paraboloids intersect.The volume can then be calculated as V = ∫∫(8 - r^2) - (r^2) * r dr dtheta over the region.

The intersection of the two paraboloids occurs when x^2 + y^2 = 8 - x^2 - y^2. Simplifying this equation, we get 2x^2 + 2y^2 = 8, which further simplifies to x^2 + y^2 = 4.This equation represents a circle of radius 2 in the xy-plane centered at the origin. Thus, we need to calculate the volume of solid bounded by this circle in the xy-plane and the two paraboloids.

Using polar coordinates, we can write x = rcos(theta) and y = rsin(theta). The limits of integration for r would be from 0 to 2 (radius of the circle) and for theta from 0 to 2*pi (complete revolution around the circle).

The volume can then be calculated as V = ∫∫(8 - r^2) - (r^2) * r dr dtheta over the region described above.Evaluating this integral will yield the volume of the solid. The result can be written as a reduced fraction in terms of π.

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Answer:

It's A

Step-by-step explanation:

The limitation of cross-sectional research among the given choices is: Differences between age groups may be due to different experiences.

Explanation:

The limitation of cross-sectional research is that differences between age groups may be due to different experiences. Cross-sectional research is a type of observational study design that collects data at a single point in time from a sample of individuals of different ages, groups, or populations. This type of research is used to study differences between groups, such as age, gender, or socioeconomic status.

However, one of the main limitations of cross-sectional research is that the differences observed between groups may not necessarily be due to age or any other factor of interest, but rather due to different experiences, histories, or social contexts. For instance, if researchers find that older adults perform worse on a cognitive test than younger adults, it is unclear whether this difference is due to age-related decline, or to factors such as education, occupation, or health.

Other limitations of cross-sectional research include the inability to establish causal relationships between variables, the possibility of selection bias or confounding, and the inability to track changes over time. Additionally, the other options presented in the multiple-choice question, such as test-wise effects, drop-out rates, and questionnaire completion by children, are not specific limitations of cross-sectional research, but rather potential issues that may affect any type of research design.

Therefore, the limitation of cross-sectional research is that differences between age groups may be due to different experiences.

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Answer:

19

Step-by-step explanation:

(8*19+5*18)/(8+5)=242/13=18 8/13

round

19

where is the statements? here's my prediction of the statements

Step-by-step explanation:

5 to 12

10 to 24

15 to 36

20 to 48

Answer:

Step-by-step explanation:

The value of n that makes the equation \((13 + 4i) + n = 0\) true is (d) -13 - 4i.

The equation is given as:

\((13 + 4i) + n = 0\)

Remove brackets

\(13 + 4i + n = 0\)

Subtract 13 from both sides

\(13 - 13 + 4i + n = 0 - 13\)

Evaluate like terms

\(4i + n = - 13\)

Subtract 4i from both sides

\(4i -4i + n = - 13 -4i\)

Evaluate like terms

\(n = - 13 -4i\)

The equation cannot be further simplified.

Hence, the value of n is (d) -13 - 4i

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Answer:

first one D (–13 - 4i)

second B (1)

on egde

Step-by-step explanation:

Answer:

I think it is 5/6

Step-by-step explanation:

She should do 5/6 of the way because 1/3x1/2=5/6

Answer:

16.5% full

Step-by-step explanation:

1/2 in decimal is 0.5

1/3 in decimal is 0.33

0.5x0.33=0.165

0.165 as a percentage is 16.5%

Answer:

A only

Step-by-step explanation:

you can't get x^2 from any other choices

Answer: x = -2

\(\frac{n^{10} }{n^{12} } =(n^{x})^{1} \\\\<=>\frac{1}{n^{2} }=n^{x}\\\\<=>n^{-2}=n^{x}\)

to make the equation true => x = - 2

Step-by-step explanation: