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miv72 [106K]
3 years ago
15

2.1 x 10^5 +4.3 x 10^4

Mathematics
1 answer:
Alla [95]3 years ago
4 0

Answer:

253,000

Step-by-step explanation:

  1. 10^{5} = 100000  
  2. 10^{4} = 10000  
  3. Plug the above answers in: 2.1 × 100,000 + 4.3 × 10,000
  4. 2.1 × 100,000 = 210,000
  5. Plug 210,000 in: 210,000 + 4.3 × 10,000
  6. 4.3 × 10,000 = 43,000
  7. Plug 43,000 in: 210,000 + 43,000
  8. 210,000 + 43,000 = 253,000

I hope this helps!

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The sum of the first ten terms of a linear sequence is 145. the sum of the next ten term is 445. find the sum of the first four
chubhunter [2.5K]

The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

S_n =\frac{n}{2}(2a+(n-1)d)

The sum of the first ten terms of a linear sequence is 145

⇒ S_{10} =\frac{10}{2}(2a+(10-1)d)

⇒ 145 = 5 (2a+9d)

⇒ \frac{145}{5} =2a+9d

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ S_{20} =\frac{20}{2}(2a+(20-1)d)

⇒ 590 = 10 (2a + 19d)

⇒ \frac{590}{10}=2a+19d

⇒ 59 = 2a + 19d -------- (2)

Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \frac{30}{10}

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \frac{2}{2}

⇒ a = 1

Thus, sum of first four terms is

⇒ S_4 =\frac{4}{2}(2(1)+(4-1)(3))

⇒ S_4 =2(2+(3)(3))

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

Learn more about sum of sequence of n terms here

brainly.com/question/20385181

#SPJ4

6 0
1 year ago
Please help me with this thanks
slava [35]

Answer:

I believe it is 60 degrees

Step-by-step explanation:

90 degrees plus 30 is 120 then plus x will be 180 so 180 - 120 is 60

5 0
2 years ago
Sam invest $8333 into a savings account with a compound interest of 2.7% for 10 years what is Sams balance after 10 years
devlian [24]

Answer: 10,582.91

Step-by-step explanation:  2.7%*10=27% 8,333*127%= $10,582.91

6 0
2 years ago
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Factor x^2+6x-16 into the form (x+a)(x-b), what is a and b?
vfiekz [6]

Answer:

a=-8 b=2

Step-by-step explanation:

x^2+6x-16

x^2+(8-2)x-16=0

x^2+8x-2x-16=0

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Compare with (X+a)(X+b)

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For which function is the following always true?
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Step-by-step explanation:

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