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makkiz [27]
3 years ago
14

70000000000x50000000000000

Mathematics
1 answer:
Kitty [74]3 years ago
5 0

Answer:

Step-by-step explanation: Multiply

70000000000*50000000000000=3.5e+24

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In an arithmetic series, the sum of the first 12 terms is equal to ten times the sum of the first 3 terms. If the first term is
arlik [135]

Answer:

Step-by-step explanation:

The formula for determining the sum of the first n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

If a = 5, the expression for the sum of the first 12 terms is

S12 = 12/2[2 × 5 + (12 - 1)d]

S12 = 6[10 + 11d]

S12 = 60 + 66d

Also, the expression for the sum of the first 3 terms is

S3 = 3/2[2 × 5 + (3 - 1)d]

S3 = 1.5[10 + 2d]

S3 = 15 + 3d

The sum of the first 12 terms is equal to ten times the sum of the first 3 terms. Therefore,

60 + 66d = 10(15 + 3d)

60 + 66d = 150 + 30d

66d + 30d = 150 - 60

36d = 90

d = 90/36

d = 2.5

For S20,

S20 = 20/2[2 × 5 + (20 - 1)2.5]

S20 = 10[10 + 47.5)

S20 = 10 × 57.5 = 575

8 0
3 years ago
Find the square root of 196 with process.​
blsea [12.9K]

Answer:

The square root of 196 is 14

Step-by-step explanation:

Prime factorization of 196:

  • 2² × 7²

Prime factors of 196 in pairs:

  • (2 × 2) × (7 × 7)

Now square root of 196:

  • √196 = √(2 × 2) × (7 × 7)
  • √196 = √(2 × 7)²
  • √196 = (2 × 7)
  • = 14

Thus, The square root of 196 is 14

<u>-TheUnknownScientist</u><u> 72</u>

3 0
3 years ago
Read 2 more answers
A car bought for $13,000 depreciates at a rate of 15% per year. Use an exponential function to find the value of the car after 5
anygoal [31]

<em>Answer:</em>

<em>$ 11093 </em>

<em>Explanation:</em><em> </em>

<em>Recall that the formula for compound interest is: </em>

<em> </em><em>A = P ( 1 + r/ n ) n ( t )</em><em>  </em>

<em>−−−−−−−−−−−−−−−−−−−−−−  </em>

<em> where: </em>

<em>A </em><em> =  future value </em>

<em>P</em><em>  =  principal (starting) amount </em>

<em>r</em><em>  =  annual interest rate, expressed as a decimal </em>

<em>n</em><em>  =  number of times the interest is compounded in a year </em>

<em>t</em><em>  =  number of years compound interest occurs for </em>

<em> </em>

<em>1 .</em><em> Start by substituting your known values into the formula. Note that the annual interest rate is  − 0.15  since the car depreciates (becomes lower in value) each year. </em>

<em> </em>

<em>A = 25000 ( 1 + − 0.15 1 ) 1 ( 5 )</em><em>  </em>

<em />

<em>2 .</em><em> Solve for  A . </em>

<em> </em>

<em>A = 25000 ( 0.85 ) )5 </em>

<em> A = 11092.63</em><em> </em>

<em> ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ </em>

<em>A ≈ $ 11093 a    </em>

<em>−−−−−−−−−−−−−−−</em>

3 0
2 years ago
Read 2 more answers
Please help me out if you can!
Mkey [24]

Ok so we know that consecutive angles are supplementary and the diagonals bisect the angels so

2x-15+3x=90

5x=105

X=21

7 0
2 years ago
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Which is the quotient of 17. 51 +3.4?
myrzilka [38]

Answer:

5.15

Step-by-step explanation:

17.51 / 3.4 = 5.15

7 0
3 years ago
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