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Law Incorporation [45]
2 years ago
6

It is given that 2^x = 5^y = 10^z , express z in terms of x and y​

Mathematics
2 answers:
weqwewe [10]2 years ago
4 0

9514 1404 393

Answer:

  z = (xy)/(x+y)

Step-by-step explanation:

Taking logarithms base 10, we have ...

  x·log(2) = y·log(5) = z·log(10)

  z = x·log(2) = y·log(5) . . . . . . . . log(10) = 1

__

Then z/x = log(2), and z/y = log(5), so ...

  z/x +z/y = log(2) +log(5) = log(2·5) = 1

  z = 1/(1/x +1/y) = 1/((x+y)/(xy))

  z = (xy)/(x+y)

aksik [14]2 years ago
4 0

Answer:

Step-by-step explanation:

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(5x³ + 4x²) - (6x² - 2x - 9)

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5x³ + 4x² - 6x² + 2x + 9

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8 0
2 years ago
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Steve opens a bank account with a simple annual interest rate of 5%. After four years, how much interest will Steve earn on an i
Marysya12 [62]

Steve will earn $160 interest after four years ⇒ 1st answer

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

  • P is the initial deposit
  • r is the annual rate in decimal
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∵ Steve opens a bank account with a simple annual interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ His initial deposit is $800

∵ He will put the money for four years

∴ t = 4

- Substitute all these values in the formula above

∵ I = 800(0.05)(4)

∴ I = 160

Steve will earn $160 interest after four years

Learn more:

You can learn more about the interest in brainly.com/question/13018049

#LearnwithBrainly

7 0
3 years ago
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kirza4 [7]

Step-by-step explanation:

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4 0
3 years ago
Find the next three terms in the sequence. 3, 9, 27, 81
Aliun [14]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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Samuel and Zander together have $392. Samuel has six times as much money as Zander. How much does each have? Please help! Quick
Shalnov [3]

Answer:

Samuel has $336 and Zander has $56

Step-by-step explanation:

Samuel = 6x because he has 6 times Zander

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3 0
3 years ago
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