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STALIN [3.7K]
3 years ago
15

Find the sum of the first 5 terms of the following geometric series. 512 - 256 + 128 +...

Mathematics
1 answer:
olga55 [171]3 years ago
3 0

Answer:

352

Step-by-step explanation:

512 - 256 + 128 - 64 + 32 = 352

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Fully condense the expression. Assume that all variables represent positive numbers. (log x -2 log y+ 3 log z) (10 points)
AfilCa [17]

Answer:  The required condensed expression is \log\dfrac{xz^3}{y^2}.

Step-by-step explanation:  We are given to fully condense the following logarithmic expression assuming that all variables represent positive numbers :

E=\log x-2\log y+3\log z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following properties of logarithms :

(i)~\log a^b=b\log a,\\\\(ii)~\log a+\log b=\log(ab),\\\\(iii)~\log a-\log b=\log\dfrac{a}{b}.

Therefore, from expression (i), we get

E\\\\=\log x-2\log y+3\log z\\\\=\log x-\log y^2+\log z^3\\\\=\log(xz^3)-\log y^2\\\\=\log\dfrac{xz^3}{y^2}.

Thus, the required condensed expression is \log\dfrac{xz^3}{y^2}.

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3 years ago
What is the solution set for 6x – 2 = 5x +3, given the replacement set {2,3,4,5}?
Alisiya [41]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Pls hurry I need an answer!!!
nlexa [21]

Answer:

133 degrees

Step-by-step explanation:

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3 years ago
Write an equation of the line that passes through the points (-2, -3) and (1, -3)._____________ What is the slope?___
Gre4nikov [31]

Answer:

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Step-by-step explanation:

1) First, find the slope of the line. Substitute the x and y values of the given points into the slope formula, m  = \frac{y_2-y_1}{x_2-x_1}, and solve:

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3 0
3 years ago
Which of the following statements is true?
boyakko [2]

Answer:

B) Aluminum and steel are good conductors of electricity.

Step-by-step explanation:

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