The first four terms of a sequence are shown below:8, 5, 2, −1

Which of the following functions best defines this sequence? (5 points)

Question 11 options:

1)

f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 1

2)

f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 1

3)

f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 1

4)

f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1

Answers

Answer 1
Answer:

Answer:

4

Step-by-step explanation:

Function notation for implicit forms is written as:

  • f_n is the current term
  • f_(n+1) is the next term

The pattern states 8 subtract 3 = 5. 5 subtract 3 = 2. 2 subtract 3 = -1. we can define the sequence as

current - 3 = next

or using functions notation

f_n-3=f_(n+1) Option 4

Answer 2
Answer:

Answer:

option4

Step-by-step explanation:


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Which experiment describes a binomial experiment?Spin a spinner with sections labeled A, B, and C, 6 times and record the result each time.

Draw 4 cards from a deck of cards, without replacement, and record each time the card is an ace.

Roll one die 10 times and record each time you roll and prime number.

Roll 2 number cubes until rolling a sum of 8 and record how many trials you completed.

Answers

Answer: the last option.
A binomial experiment is an experiment with only two possible outcomes.

In the first option, there is three possible outcomes (i.e. A, B, C)
In the second option, there is four poissible outcomes (i.e. ace, king, queen, jack)
The third option has six possible outcomes (i.e. six faces of a die)
In the last option, there are two possible outcomes (i.e. '2 number cubes')

The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6

What is the interquartile range of the data?

2
3
4
6

Answers

Answer:

the interquartile range of the data is:

                                   4

Step-by-step explanation:

We are given a data set as:

             0, 2, 4, 0, 2, 3, 2, 8, 6

On arranging the data in the ascending i.e. increasing order is given by:

    0     0     2     2    2    3      4      6     8

The minimum value of data set=0

Maximum value of data set is: 8

Range of data set= Maximum value-Minimum value

i.e. Range= 8-0

i.e. Range= 8

Also, Median of set is the central tendency of the data and is given by:

Median=  2

Lower set of data is:

                0    0     2    2

Hence, The median of lower set of data is the lower quartile or first quartile.

i.e. Q_1

Hence, Q_1=(0+2)/(2)\n\n\nQ_1=(2)/(2)\n\n\nQ_1=1

Hence, Lower quartile=1

Similarly upper set of data is:

                    3      4      6     8

Hence, The median of upper set of data is the upper quartile or third quartile.

i.e. Q_3

Hence, Q_3=(4+6)/(2)\n\n\nQ_3=(10)/(2)\n\n\nQ_3=5

Hence, Upper quartile=5

Hence, the interquartile range(IQR) is given by:

IQR=Upper quartile-Lower quartile

IQR=5-1

                                    IQR=4

If the data set represents the number of rings each person is wearing, being: 0,2,4,0,2,3,2,8,6, the interquartile range of the data is 2. Being, 4 as the Q1, 3 as the Q2 or median, and 6 as the Q3. Where the formula of getting the interquartile range is IQR= Q1-Q2.

Katie ordered candles that cost $3 each from a website. She was charged a flat shipping fee of $6 and no sales tax. If she spent a total of $54, which equation can be used to find c, the number of candles she ordered?A. 3c = 54

B. 6c = 54

C. 3c + 6 = 54

D. 3c – 6 = 54

Answers

Answer:

Equation can be used to find  the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

Step-by-step explanation:

As given

Katie ordered candles that cost $3 each from a website.

She was charged a flat shipping fee of $6 and no sales tax.

If she spent a total of $54,

c represented the number of candles .

Equation becomes

Total cost = Cost per candle + Flat shipping fee

54 =  3 × c + 6

54 = 3c + 6

Equation can be used to find  the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

         

Answer:

C:3c + 6 = 54

Step-by-step explanation:

took the test

;)

D) Vivek is 30 years younger than his father. After 10 years their ages will be in the ratio 1:2. Find their present ages.​

Answers

Answer:

I think Vivek is 20 and his father is 50

Because 30 + 30 equals 60 as he has to be half his age he'll be 30 but that's in 10 years time. you just subtract 30 and 60 by 10 and you'll get 20 and 50

Answer:

Vivek:20 years

Father:50 years

Step-by-step explanation:

Since it is a age question, their difference do not change, so

2-1=1 (difference in ratio)

1u=30

Vivek now:30-10=20 years

Father: 30x2=60

60-10=50 years

Hope this helps! Thanks.

Jack and Jill each planted flowers in their garden. Jack spent $41 on 4 daylilies and 7 roses. Jill spent $81 on 12 daylilies and 7 roses.​

Answers

194 is the awnser i know this becuase i have done this one on edguentitt awnser

SOLVE for r.
V=(1/3)pi r^2 h

Answers

V=(1/3)pi r^2 h
3V = 
pi r^2 h
3V/pi = r^2 h
3V/h*pi = r^2
r = sqrt (3V/h*pi)
This is a picture of the answer.