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Jobisdone [24]
3 years ago
7

If Michael has a farm with 2000 sheep each weighing 120kg how many kg altogether do the sheep way

Mathematics
1 answer:
Burka [1]3 years ago
4 0
2000 x 120kg = 240000kg altogether
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Write a rule for the nth term of the sequence.
Helga [31]

Answer:

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

Step-by-step explanation:

Given sequence is:

-11, 5, 21, 37, 53, ...

Here

a_1 = -11\\a_2 = 5\\a_3 = 21\\a_4 = 37

First of all, we have to find if this is an arithmetic sequence

For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence

So,

d = a_2 -a_1 = 5-(-11) = 5+11 = 16\\d = a_3 -a_2 = 21-5 = 16\\d = a_4-a_3 = 37-21 = 16

As the common difference is same, the sequence is an arithmetic sequence

General rule for arithmetic sequence is:

a_n = a_1+(n-1)d

Putting values

a_n = -11+(n-1)(16)\\a_n = -11+16n-16\\a_n = -27+16n

For 100th term,

Putting n=100

a_{100} = -27+16(100)\\a_{100} = -27+1600 = 1573

Hence,

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

6 0
3 years ago
Need help with number 9
beks73 [17]

Step-by-step explanation:

v=6t-6

integrating

s= 3t^2 -6t +k

5=3(1)^2 -6(1) +k

5-3+6=k

k=8

s(t) = 3t^2 -6t +8

7 0
3 years ago
Sam's age is five years more than twice Jessica's age. Together, the sum of their ages is 17. Let J = Jessica's age. How old is
hammer [34]
Equation:
2j + 5 = 17
- 5 - 5
2j = 12
j = 6

Hope I helped!
4 0
3 years ago
Read 2 more answers
Selena earned $200 last month babysitting. She used 25 of her earnings to buy a video game. How much did she spend on the video
babymother [125]

Answer:

See below

Step-by-step explanation:

<u>Is that $25 or 35%?</u>

If $25, she spent $25.

If 25%, she spent (0.25)*(200) = $50.

3 0
2 years ago
Solve: 3a - 2.4 = 5.1 a = _____
Delicious77 [7]

Answer:

a=2.5

Step-by-step explanation:

3a-2.4=5.1   Add the like terms ( plus 2.4 cancels out -2.4)

   +2.4  +2.4

3a=7.5  Now divide by 3

/3     /3

a=2.5

7 0
3 years ago
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