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Law Incorporation [45]
3 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]3 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]3 years ago
4 0

Answer:

Step-by-step explanation:

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Th the mean of the data is set 15 what number is missing<br> 18,16_,9,12,23
Wittaler [7]

Answer:

The missing number on the given data set is 12.

Step-by-step explanation:

Here, the set of data = 18,16_,9,12,23

Let us assume the missing number in the data = m

The mean of the data = 15

Total number of observations   = 6

Now, Sum of the data  = 18 + 16 + m + 9+ 12+ 23  = 78 + m

Also, \textrm{ Mean of the given Data}  = \frac{\textrm{Sum of all observation in the data}}{\textrm{Total number of observations}}

\implies 15 = \frac{78+ m}{6} \\or, 15(6) = 78 + m\\\implies m = 90 -78 = 12

or, m  = 12

Hence, the missing number on the given data set is 12.

3 0
3 years ago
What is the perimeter of a rectangle with a length of 6 4/5 inches and a width of 2 2/3 inches?
ANTONII [103]
6 4/5 + 6 4/5 + 2 2/3 + 2 2/3 = 18 14/15
3 0
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1. Find the discriminant for the following<br> equation: x2-3x -10.
Strike441 [17]

Answer:

The discriminant is 49

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A small cube has the volume shown. Its side length is 1.5 in less than a second larger cube. What is
eduard

The volume of the larger cube is 227 inches cube.

<h3 /><h3 /><h3>Volume of a cube is describe below:</h3>
  • v = L³

where

L = length

The small cube has the following volume:

  • v = 95 in³

Let

The side length of the small cube = x

Therefore,

95 = x³

x = ∛95

x = 4.56290264

x ≈ 4.6

Its side length is 1.5 inches less than a second larger cube. Therefore,

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Therefore, the volume of the larger cube can be found as follows:

Volume = 6.1³

volume = 226.981

volume ≈ 227 inches³

learn more on cubes here:brainly.com/question/2671825?referrer=searchResults

6 0
3 years ago
A $60.00 pair of shows is discounted 25% and then marked up 25%
Anika [276]
It would seem that the 25% down and 25% increase would cancel each other out and the shoes would remain $60
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3 years ago
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