How do I solve this arithmetic sequence?

How Do I Solve This Arithmetic Sequence?

Answers

Answer 1

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist


Related Questions

HELP ASAP PLEASE!!!!

Answers

Answer:

Q' = (1, -5)

R' = (3, 1)

S' = (0, 0)

T' = (-2, -3)

Step-by-step explanation:

Look at the numbers of the current vertices and then change the signs of the y-coordinates around. For example, the original Q-coordinate was (1,5) so I changed the 5 to a -5 to reflect across the axis. Changing the y-coordinate sign reflects across the x-axis, while changing the x-coordinate sign reflects across the y-axis.

identifying the coefficients and constant of a quadratic function consider the quadratic function f(x) = x2 – 5x 6. what are the values of the coefficients and constant in the function? a = b = c =

Answers

For  the quadratic function f(x) = x^2 - 5x + 6, the values of the coefficients and constant are:

a = 1
b = -5
c = 6.

To identify the coefficients and constant in the quadratic function f(x) = x^2 - 5x + 6, let's examine the standard form of a quadratic equation:

f(x) = ax^2 + bx + c

Comparing this with the given quadratic function, we can determine the values of the coefficients and constant:

a = 1 (coefficient of x^2 term)
b = -5 (coefficient of x term)
c = 6 (constant term)

Therefore, for the quadratic function f(x) = x^2 - 5x + 6, the values of the coefficients and constant are:

a = 1
b = -5
c = 6.

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solve the system using elimination. 4x+5y=2 -2x+2y=8 ( ? , ? )

Answers

Answer:

(-2,2)

Step-by-step explanation:

Hi,

4x + 5y = 2

-2x + 2y = 8

To solve using elimination, we can multiply the second equation by 2 to try and get rid of the x. So...

4x + 5y = 2

-4x + 4y = 16

Now, add...

9y = 18

Divide by 9...

y = 2

Now, let's solve for x...

4x + 5(2) = 2

4x + 10 = 2

4x = -8

x = -2

Your solution is, (-2,2)

I hope this helps :)

Given the following data: 46, 47, 110, 56, 71, 109, 63,91, 111,93, 125,78,85, 108,73, 118,70,89,99, 45,73.
Compute the five-number summary and draw the boxplot.

Answers

The five-number summary for the given data is as follows: Minimum = 45, First Quartile (Q1) = 71, Median (Q2) = 89, Third Quartile (Q3) = 108, Maximum = 125.

The five-number summary provides key descriptive statistics that summarize the distribution of the data. It consists of the minimum value, the first quartile (Q1), which represents the lower 25% of the data, the    median (Q2), which represents the middle value or the 50th percentile, the third quartile (Q3), which represents the upper 25% of the data, and the maximum value.

To draw a boxplot based on this five-number summary, a box is drawn from Q1 to Q3, with a line indicating the median (Q2). Whiskers extend from the box to the minimum and maximum values. Outliers, if present, are represented as individual data points beyond the whiskers.

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15% of $9.00 is $

I need help!!

Answers

Answer:

$ 1.35

Step-by-step explanation:

9 times 0.15 is 1.35

(a) Find ged(18675, 20112340) (b) Factor both numbers from (b) above. (c) Find the lem of the two numbers from (b) above.

Answers

The lem of 18675 and 20112340 is 2^2 * 3^2 * 5^2 * 7 * 83 * 143659.

(a) To find the greatest common divisor (GCD) of 18675 and 20112340, we can use the Euclidean algorithm. The algorithm involves repeatedly dividing the larger number by the smaller number until the remainder becomes zero.

Using the Euclidean algorithm:

20112340 = 1074 * 18675 + 12590

18675 = 1 * 12590 + 6095

12590 = 2 * 6095 + 4000

6095 = 1 * 4000 + 2095

4000 = 1 * 2095 + 1905

2095 = 1 * 1905 + 190

1905 = 10 * 190 + 15

190 = 12 * 15 + 10

15 = 1 * 10 + 5

10 = 2 * 5 + 0

Since the remainder is now zero, the GCD is the last non-zero remainder, which is 5.

Therefore, ged(18675, 20112340) = 5.

(b) To factor the numbers 18675 and 20112340, we can find their prime factorizations.

Prime factorization of 18675:

18675 = 3^2 * 5^2 * 83

Prime factorization of 20112340:

20112340 = 2^2 * 5 * 7 * 143659

(c) To find the least common multiple (LCM) of 18675 and 20112340, we can use the prime factorizations obtained in the previous step.

The LCM is the product of the highest powers of all the prime factors involved.

Prime factors in the LCM:

2^2 * 3^2 * 5^2 * 7 * 83 * 143659

Therefore, the lem of 18675 and 20112340 is 2^2 * 3^2 * 5^2 * 7 * 83 * 143659.

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A. 5 cartoons/toy
B. 12 toys/ cartoon
C. 5 toys/ cartoon

Answers

Answer:

c

Step-by-step explanation:

Approximately what percentage of hardcover books sold were nonfiction?

Answers

Answer:

B

Step-by-step explanation:

Convert:
35 pounds, 24 ounces=_ ounces​

Answers

Answer:

Step-by-step explanation:

1 pound = 16 ounces

35 pounds = 560 ounces + 24 ounce = 584ounces

35 pounds,24ounces = 16 ounces

statistics are used to: a. ask questions b. make estimates of population parameters c. form a basis for analysis d. theoretically specify grouping of study elements

Answers

Statistics are used to make estimates of population parameters. Therefore, the correct option is B.

Statistics are used for various purposes in data analysis. One important application of statistics is to make estimates of population parameters. Population parameters are characteristics or measures that describe an entire population. However, it is often impractical or impossible to collect data from the entire population, so statistics provide methods for estimating these parameters based on a sample of the population.

By collecting and analyzing data from a sample, statisticians can make inferences and draw conclusions about the larger population. These estimates help researchers understand the characteristics, patterns, and relationships within the population.

Additionally, statistics form the basis for analysis in many fields, including scientific research, business, social sciences, and more. They provide tools and techniques to summarize, interpret, and draw meaningful insights from data, enabling researchers and decision-makers to make informed choices and draw valid conclusions from their observations and experiments.

Therefore, the correct choice is option b. Statistics play a crucial role in estimating population parameters and providing insights for analysis and decision-making.

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A fifth-grade class is earning points for a pizza party by reading books.
For every book they read, they earn 6 points. Complete the table, where b represents the number of books read. How many points will they earn if b = 24?

Answers

Answer:

144

Step-by-step explanation:

24 books at 6 points each would be 24 x 6 which equals 144

Answer:

They'll have 144 points if they read 24 books.

Step-by-step explanation:

6 x 24 = 144

Please help me.
Please simplify it and group it in like terms.

3a+6+2a-4+a-2=​

Answers

Answer:

6a

Step-by-step explanation:

Answer:

6a

Step-by-step explanation:

3a+2a+a= 6a

6-4-2=0

6a+0=6a

The following data sets are the math and science test scores, out of 100, for a group of twelve seventh grade students

The interquartile range (IQR) of both the data sets is 8. Create a box plot for each data set Which statement correctly compares
the two data sets?
A. The majority of the math scores are greater than the median of the science scores
B. The majority of the science scores are greater than the median of the math scores
C. The medians of both data sets are equal
D. There is not enough information given to compare the data and medians of the math and science scores

Answers

Answer:

The answer and work are in the pdf

Step-by-step explanation:

Answer: A. The majority of the math scores are greater than the median of the science scores

Step-by-step explanation:

I took the test!

verify that the following function is a cumulative distribution function. f(x)={0x<10.51≤x<313≤x round your answers to 1 decimal place (e.g. 98.7).

Answers

The probability distribution of X is as follows:P(X = x) = 0 for x < 1P(X = x) = 0 for 1 ≤ x < 10.5P(X = x) = 1 for 10.5 ≤ x < 31P(X = x) = 0 for x ≥ 31.

Given function: f(x)={0x<10.51≤x<313≤xTo verify that the given function is a cumulative distribution function, we have to check the following conditions:1. f(x) is non-negative for all x.2. f(x) is continuous from the right for all x.3. f(x) is a non-decreasing function for all x.4. lim{x → -∞} f(x) = 0 and lim{x → ∞} f(x) = 1. Now, let's verify these conditions one by one.1. f(x) is non-negative for all x. This condition is satisfied, as the given function f(x) is defined only for x ≥ 1, and is non-negative for all x in this domain. Therefore, f(x) is non-negative for all x.2. f(x) is continuous from the right for all x. This condition is also satisfied, as the given function f(x) is defined piecewise as a continuous function for all x. Therefore, f(x) is continuous from the right for all x.3. f(x) is a non-decreasing function for all x. This condition is satisfied, as the given function f(x) is non-decreasing for all x in its domain.4. lim{x → -∞} f(x) = 0 and lim{x → ∞} f(x) = 1.

Using the definition of f(x) for x < 10, we have f(x) = 0 for x < 10. Therefore, lim{x → -∞} f(x) = 0. Using the definition of f(x) for x ≥ 31, we have f(x) = 1 for x ≥ 31. Therefore, lim{x → ∞} f(x) = 1. Hence, all four conditions are satisfied. Therefore, the given function is a cumulative distribution function. To find the probabilities of the intervals, we use the formula: P(a ≤ X ≤ b) = F(b) - F(a)where P(a ≤ X ≤ b) is the probability that X lies between a and b, and F(x) is the cumulative distribution function of X. Furthermore, the probability of the interval (a, b] is: P(a < X ≤ b) = F(b) - F(a)Therefore, the probabilities of the intervals are: P(1 < X ≤ 10.5) = F(10.5) - F(1) = 0 - 0 = 0P(10.5 < X ≤ 31) = F(31) - F(10.5) = 1 - 0 = 1P(X > 31) = F(∞) - F(31) = 1 - 1 = 0Therefore, we have: P(1 < X ≤ 10.5) = 0P(10.5 < X ≤ 31) = 1P(X > 31) = 0

Hence, the probability distribution of X is as follows: P(X = x) = 0 for x < 1P(X = x) = 0 for 1 ≤ x < 10.5P(X = x) = 1 for 10.5 ≤ x < 31P(X = x) = 0 for x ≥ 31. Therefore, the given function is a cumulative distribution function, and the probability distribution of X is as above.

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Can someone help me with this. Will Mark brainliest.

Answers

Answer:

B ( -1, -8)

Step-by-step explanation:

A ( -7, -6)

midpt (-4, -7)

Equation:

(x + 3, y - 1)

Solve for B:

(-4, -7)

(x + 3, y - 1)

( -1, -8)

The guy on top of me is right I am just trying to give him more credit for his amazing answer

A student is required to solve the initial-value problem as follows:
y ' + 1x+3 y= x2 y-1 , y0= -4.
It is assumed here that x is positive. Then he/she has to find the numerical value of y 2.0, round it off to THREE figures and present the result. A student solved the problem and found that y 2.0 rounded-off to three figures was as follows :

Answers

Main Answer: The numerical value of y(2.0) rounded off to three figures is 1.279.

Supporting Explanation:

The student solved the initial-value problem and found that y(2.0) = 1.27977. The question asks to round off the value to three figures. Therefore, we have to keep only the first three digits after the decimal point, which are 279. The next digit after 9 is 7, which means we have to round up the last digit. Thus, the rounded off value of y(2.0) is 1.279.

The initial-value problem is a differential equation that has an initial condition given for a specific value of the independent variable. In this case, the initial condition is y(1) = 2. The solution of the initial-value problem gives the value of y for other values of x. Here, we are required to find the value of y for x = 2.0.

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Kim's fish is 10 inches long.
Sam's fish is 3 inches long.
How many inches shorter is Sam's fish?

Answers

Answer:

7

Step-by-step explanation:

Answer:

Sam's is 7in shorter

Step-by-step explanation:

[tex]10-3=7[/tex]

I need help figuring out this question

Answers

Answer:

no picture

Step-by-step explanation:

does anyone know the answer

Answers

Answer:

I think it is A.

Step-by-step explanation:

I hope this helps.

B.

Because every x value has one corresponding y value (passes vertical line test), the parabola is a function

ABCD is a quadrilateral that has a four right angle What is the most accurate way to classify this quadrilateral ​

Answers

Answer:

A rectangle

Step-by-step explanation:

A square can be a rectangle but a rectangle can't always be a square.

What is the answer for these this question

Answers

“X” is the independent valuable and “Y” is dependent.

A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score 10, 11, or 12 points?

Answers

Answer: 10 points

Step-by-step explanation:

HELP ASAP!! In the problem below there is an error in the math. Find the error and write what the error is in complete sentences. You will then work out the problem correctly.

Answers

They didn’t write the number in exponential form with the base of three in the first step.
_/27x^2 y^3

_/3^3 x^2 y^3

_/3^ x3^2 y^2 xy

= 3xy _/3y

You are creating a 4-digit pin code. How many choices are there in the following cases? a. With no restriction, b. No digit is repeated, c. No digit is repeated, 2 and 5 must be present.

Answers

the number of choices in each case is:

a. With no restriction: 10,000 choices.

b. No digit is repeated: 5,040 choices.

c. No digit is repeated, 2 and 5 must be present: 56 choices.

Let's calculate the number of choices in each case:

a. With no restriction:

For each digit in a 4-digit pin code, we have 10 choices (0-9). Since there are 4 digits in total, the number of choices is 10⁴ = 10,000.

b. No digit is repeated:

For the first digit, we have 10 choices (0-9).

For the second digit, we have 9 choices (any digit except the one chosen for the first digit).

For the third digit, we have 8 choices (any digit except the two chosen for the first and second digits).

For the fourth digit, we have 7 choices (any digit except the three chosen for the first, second, and third digits).

The total number of choices is 10 * 9 * 8 * 7 = 5,040.

c. No digit is repeated, and 2 and 5 must be present:

We have two fixed digits (2 and 5) that must be present in the pin code.

For the first fixed digit (2), we have only 1 choice.

For the second fixed digit (5), we have only 1 choice.

For the remaining two digits, we have 8 choices each (any digit except 2 and 5).

The total number of choices is 1 * 1 * 8 * 7 = 56

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PLEASE HELP FOR BRAINLIEST! The sum of two numbers is 4 and the difference of their squares is 64. Find the two numbers.

Answers

10 and -6                                  

.....................................................

Does anyone know how to do 3 & 4

Answers

Answer:

2.True

3. HGK

4. 17°

hope it helps

The circle radius is 12 cm. Then the circle content is
PLEASE HEEEELP

Answers

r=12cm

circumference=2×pi×r

=2×3.14×12

=75.36cm

area = pi×r^2

=3.14×12×12

=3.14×144

=452.16cm^2

A rabbit is carrying a dominant allele for brown hair (B) and a recessive allele for white hair (b). What is the rabbit's phenotype?

Answers

Answer:

B

Step-by-step explanation:

Its dominant because its brown hair.

Find the total surface area of this triangular prism.​

Answers

Answer:

28 i think

Step-by-step explanation:

A local pet groomer accepts walk-in customers. From experience, the groomer has determined that the probability that a walk-in customer will get a full-service grooming, which includes a bath and nail trimming, is 0.71. The probability that a walk-in customer will get a haircut for their pet is 0.42. The probability that customers who get the full-service grooming will also ask for a haircut is 0.28. What is the probability that a walk-in customer will ask for both a full-service grooming and a haircut?

0.12
0.20
0.28
0.30

Answers

Answer:

0.28

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

i got it right on edge 2022

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Instructions: Prepare a cost of goods sold section (periodic system) for the year ending August 31, 2021. t/f trophic structure refers to the pattern of food consumption in an ecosystem.\ Consider the following balanced equation: 2N2H4(g) + N2O4(g) + 3N2(g) + 4H2O(g) Complete the following table showing the appropriate numbers of moles of reactants and products. If the number of moles of a reactant is provided, fill in the required amount of the other reactant, as well as the moles of each product formed. If the number of moles of a product is provided, fill in the required amount of each reactant to make that amount of product, as well as the amount of the other product that forms. An article in the journal Applied Nutritional Investigation reported the results of a comparison of two different weight-loss programs (Liao, 2007). In the study, obese participants were randomly assigned to one of two groups and the percent of body fat loss was recorded. The soy group, a low-calorie group that ate only soy-based proteins (M= 2.95, s=0.6), while the traditional group, a low-calorie group that received 2/3 of their protein from animal products and 1/3 from plant products (M= 1.92, $=0.51). If S_M1-M2 = 0.25, s^2_pooled = 0.3, n_1 =9, n_2 = 11 is there a difference between the two diets. Use alpha of .05 and a two-tailed test to complete the 4 steps of hypothesis testing case manager in a rehabilitation facility is discussing discharge plans with a client who has a pressure injury and requires a special bed at home. Which of the following statements should the nurse make first? a. "Apply moisture barrier ointment three times a day." b. "Eat a balanced diet with high-protein snacks." c. "A social worker can help you with the cost of supplies." d. "Describe the place where you are currently living." A research team has developed a face recognition device to match photos in a database. 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If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis There is not sufficient evidence to reject the claim 48.7 There is sufficient evidence to reject the claim = 48.7 There is sufficient evidence to support the claim p = 48 7 There is not sufficient evidence to support the claim = 48.7 The United States is home to some of the world's leading computer software companies, most of which commonly outsource software development to other countries, including Egypt, India, Ireland, Israel, Malaysia, Hungary, and the Philippines.1. Why do you think these countries became suppliers to the software industry?2. Do you think that development of the industry in these countries is a threat to companies in the United States? Explain.This week's discussion is based on material in Chapter 15 of the course eTextbook. You are encouraged to review the material before posting to the topic. Note the following: Cite your sources using APA style; include a Reference page entry and parenthetical citations. See the announcement titled "Discussion instructions - refer to throughout the semester" for additional APA citing resources. Please label your responses in your initial posting so it is clear which comments are intended for each part of the discussion. Your response to each question should be a minimum of 6 sentences long. You are a member of a geological team in Central Africa. Your team comes upon a wide river that is flowing east. You must determine the width of the river and the current speed (the speed of the water relative to the earth). You have a small boat with an outboard motor. By measuring the time it takes to cross a pond where the water isnt flowing, you have calibrated the throttle settings to the speed of the boat in still water. You set the throttle so that the speed of the boat relative to the river is a constant 6. 00 m/s. 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