Mathematics: Attached is the question !! Need to write the equility

Attached is the question !! Need to write the, №15226506, 10.11.2020 20:58

Mathematics

PLZ HELP! 20 POINTS! A student writes the arithmetic series 8 + 13 + ... + 43 in summation notation (pictured below) A) Describe the error. B) Find the sum of the arithmetic series C) Write the explicit and recursive formulas for each term in the series. Be sure to label them. I also attached the entire question below.

Step-by-step answer

P Answered by PhD

7

a) The error is that, the initial value is n=1 NOT n=3

b) The sum is $a_n=a_{n+1}+5=192$

c)The explicit formula is a_n=5n+3

The recursive formula is $a_n=a_{n+1}+5$ ,

Step-by-step explanation:

The given arithmetic series is 8 + 13 + ... + 43.

The first term is a_1=8 , the common difference is d=13-8=5

The nth term is given by:

a_n=a_1+d(n-1)

We substitute the values to get:

$a_n=8+5(n-1)\\a_n=8+5n-5\\\\a_n=3+5n$

To find how many terms are in the sequence we solve the equation:

$3+5n=43\\\implies 5n=43-3\\5n=40\\n=8$

The summation notation is $\sum_{n=1}^8(3+5n)$

The error the student made is in the initial value.

It should be n=1 NOT n=3

b) The sum of the arithmetic series is calculated using:

$S_n=\frac{n}{2}(a+l)$

We substitute o get:

$S_8=\frac{8}{2}(5+43)$

S_8=4(48)

S_8=192

c) The explicit formula we already calculated in a), which is a_n=3+5n

The recursive formula is given as:

$a_n=a_{n+1}+d$

We substitute d=5 to get:

$a_n=a_{n+1}+5$

Mathematics

PLZ HELP! 20 POINTS! A student writes the arithmetic series 8 + 13 + ... + 43 in summation notation (pictured below) A) Describe the error. B) Find the sum of the arithmetic series C) Write the explicit and recursive formulas for each term in the series. Be sure to label them. I also attached the entire question below.

Step-by-step answer

P Answered by PhD

7

a) The error is that, the initial value is n=1 NOT n=3

b) The sum is $a_n=a_{n+1}+5=192$

c)The explicit formula is a_n=5n+3

The recursive formula is $a_n=a_{n+1}+5$ ,

Step-by-step explanation:

The given arithmetic series is 8 + 13 + ... + 43.

The first term is a_1=8 , the common difference is d=13-8=5

The nth term is given by:

a_n=a_1+d(n-1)

We substitute the values to get:

$a_n=8+5(n-1)\\a_n=8+5n-5\\\\a_n=3+5n$

To find how many terms are in the sequence we solve the equation:

$3+5n=43\\\implies 5n=43-3\\5n=40\\n=8$

The summation notation is $\sum_{n=1}^8(3+5n)$

The error the student made is in the initial value.

It should be n=1 NOT n=3

b) The sum of the arithmetic series is calculated using:

$S_n=\frac{n}{2}(a+l)$

We substitute o get:

$S_8=\frac{8}{2}(5+43)$

S_8=4(48)

S_8=192

c) The explicit formula we already calculated in a), which is a_n=3+5n

The recursive formula is given as:

$a_n=a_{n+1}+d$

We substitute d=5 to get:

$a_n=a_{n+1}+5$

Mathematics

Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table below: Occurrence Year Seen 1- 1949 2 1956 3 1963 4 1970 Use the table for Items 1-5. Describe any pattern you see in the table. Write the values in the second column at the table as a sequence. Identify the common difference. If the pattern continues, in which of the following years will the comet be visible again? A. 2017 B. 2018 C. 2019 D. 2020 About how many times would the Johnson comet be visible during a typical person’s

Step-by-step answer

P Answered by PhD

6

Step-by-step explanation:

Occurrence Year seen Difference

1 1949 -

2 1956 1956 - 1949 = 7

3 1963 1963 - 1956 = 7

4 1970 1970 - 1963 = 7

Difference between each successive term of year seen = 7 years

Therefore, there is a common difference of 7 years between each successive term.

Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)

2017 - 1970 = 47 (It's not the multiple of 7)

2018 - 1970 = 48 (It's not the multiple of 7)

2019 - 1970 = 49 (multiple of 7)

2020 - 1970 = 50 (It's not the multiple of 7)

Therefore, comet will be seen next in 2019.

Option (C) will be the answer.

If a person is born in 2005

Then difference between 2005 and 1949 = 56 years

Number of times comet seen after 1949 = $\frac{56}{7}=8$ times

Total number of comet seen in the lifetime = 8 times

Mathematics

Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table below: Occurrence Year Seen 1- 1949 2 1956 3 1963 4 1970 Use the table for Items 1-5. Describe any pattern you see in the table. Write the values in the second column at the table as a sequence. Identify the common difference. If the pattern continues, in which of the following years will the comet be visible again? A. 2017 B. 2018 C. 2019 D. 2020 About how many times would the Johnson comet be visible during a typical person’s

Step-by-step answer

P Answered by PhD

6

Step-by-step explanation:

Occurrence Year seen Difference

1 1949 -

2 1956 1956 - 1949 = 7

3 1963 1963 - 1956 = 7

4 1970 1970 - 1963 = 7

Difference between each successive term of year seen = 7 years

Therefore, there is a common difference of 7 years between each successive term.

Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)

2017 - 1970 = 47 (It's not the multiple of 7)

2018 - 1970 = 48 (It's not the multiple of 7)

2019 - 1970 = 49 (multiple of 7)

2020 - 1970 = 50 (It's not the multiple of 7)

Therefore, comet will be seen next in 2019.

Option (C) will be the answer.

If a person is born in 2005

Then difference between 2005 and 1949 = 56 years

Number of times comet seen after 1949 = $\frac{56}{7}=8$ times

Total number of comet seen in the lifetime = 8 times

Mathematics

Surds could you provide the answers for the following. could you number each one and write out the question. . loads of points for the answer! see the attachment below for questions.

Step-by-step answer

P Answered by PhD

4

1) √3 √7 = √21
2) √5 √245 = √5 √5 * 49 = √5 * 7√5 = 7 √5 * 5 = 7 √25 = 7 * 5 = 35
3) √77 ÷ √11 = as is. can't be simplified.
4) (√59)² = 59 ; the square root was cancelled by squared.
5) 3√6 x 8√7 = 3 * 8 √6 * 7 = 24 √42
6) 5√3 x 6 √3 = 5 * 6 √3 * 3 = 30 √9 = 30 * 3 = 90
7) 40√30 ÷ 5√3 = (40 / 5) * (√30 /√3) = 8 * ((√3 *10) / √3) = 8 √10
8) (6√5)² = 6² * √5² = 36 * 5 = 180

Business

When you are filling out a form and you find a question for which you would like to give additional information, what should you do? a: give a brief response and leave out the additional information. b: leave the question blank. c: write the additional information in the margin of the form. d: attach a separate piece of paper with the additional piece of information.

Step-by-step answer

P Answered by PhD

17

The correct option is A.
In a situation such as the one painted above, the best thing to do is to give the needed information and leave out the additional information. It is possible that the producers of the form know that additional information may be available from those who fill the form. If they need the additional information, they will make provision for it by telling those who fill the form that they can add additional information in extra piece of paper and attach it to the form.

Mathematics

Surds could you provide the answers for the following. could you number each one and write out the question. . loads of points for the answer! see the attachment below for questions.

Step-by-step answer

P Answered by PhD

4

1) √3 √7 = √21
2) √5 √245 = √5 √5 * 49 = √5 * 7√5 = 7 √5 * 5 = 7 √25 = 7 * 5 = 35
3) √77 ÷ √11 = as is. can't be simplified.
4) (√59)² = 59 ; the square root was cancelled by squared.
5) 3√6 x 8√7 = 3 * 8 √6 * 7 = 24 √42
6) 5√3 x 6 √3 = 5 * 6 √3 * 3 = 30 √9 = 30 * 3 = 90
7) 40√30 ÷ 5√3 = (40 / 5) * (√30 /√3) = 8 * ((√3 *10) / √3) = 8 √10
8) (6√5)² = 6² * √5² = 36 * 5 = 180

Business

When you are filling out a form and you find a question for which you would like to give additional information, what should you do? a: give a brief response and leave out the additional information. b: leave the question blank. c: write the additional information in the margin of the form. d: attach a separate piece of paper with the additional piece of information.

Step-by-step answer

P Answered by PhD

17

The correct option is A.
In a situation such as the one painted above, the best thing to do is to give the needed information and leave out the additional information. It is possible that the producers of the form know that additional information may be available from those who fill the form. If they need the additional information, they will make provision for it by telling those who fill the form that they can add additional information in extra piece of paper and attach it to the form.

Mathematics

This consists of more than one answer. read use the first attachment for the two questions. **part a** write a simplified equation to solve for x in terms of at, the area of the tile. if necessary, use rational coefficients instead of root symbols. **part b** if the tile is a square with a length of b centimeters, what would at be in terms of b?

Step-by-step answer

P Answered by PhD

7

Part A)AT=16x^2

Part B)AT=4b^2 +12x^2

Step-by-step explanation:

Part A:

length of each side of square in tile=x

length of each small base side of trapezoid in tile=x

length of each large base side of trapezoid in tile=2x

height of each trapezoid in tile=x

Area of each square in tile= x^2

Area of each trapezoid in tile= x(x+2x)/2

= (3x^2)/2

area of squares inside tile= 4(x^2)

area of trapezoids inside tile= 8[(3x^2)/2]

Area of tile, AT= area of squares inside tile+area of trapezoids in tile

AT= 4(x^2) + 8[(3x^2)/2]

= 4x^2 + 12x^2

= 16x^2

Part B)

if If the tile is a square with a length of b centimeters then AT

= 4b^2 +12x^2 !

Mathematics

This consists of more than one answer. read use the first attachment for the two questions. **part a** write a simplified equation to solve for x in terms of at, the area of the tile. if necessary, use rational coefficients instead of root symbols. **part b** if the tile is a square with a length of b centimeters, what would at be in terms of b?

Step-by-step answer

P Answered by PhD

7

Part A)AT=16x^2

Part B)AT=4b^2 +12x^2

Step-by-step explanation:

Part A:

length of each side of square in tile=x

length of each small base side of trapezoid in tile=x

length of each large base side of trapezoid in tile=2x

height of each trapezoid in tile=x

Area of each square in tile= x^2

Area of each trapezoid in tile= x(x+2x)/2

= (3x^2)/2

area of squares inside tile= 4(x^2)

area of trapezoids inside tile= 8[(3x^2)/2]

Area of tile, AT= area of squares inside tile+area of trapezoids in tile

AT= 4(x^2) + 8[(3x^2)/2]

= 4x^2 + 12x^2

= 16x^2

Part B)

if If the tile is a square with a length of b centimeters then AT

= 4b^2 +12x^2 !

Attached is the question !! Need to write the equility

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