2 years ago

What value of r makes the equation true?

Mathematics

1 answer:

Svet_ta [14]2 years ago

7 0

R would have to be equal to 0.08 in order for it to be true.

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aleksandr82 [10.1K]

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Step-by-step explanation:

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2 years ago

Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))

Colt1911 [192]

Answer:

-11

Step-by-step explanation:

Given

$\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5$

Use properties:

$\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA$

Thus,

$\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11$

3 0

2 years ago

What is the correct solution to 1/2(x+18)=4(2x-6)-9x

denis-greek [22]

Answer:

x = 22

Step-by-step explanation:

I interpreted your problem as:

$\frac{1}{2} (x+18) = 4(2x-6)-9x$

I simplified the problem to:

$\frac{1}{2} x+9 = 8x-24-9x$

I combined like terms:

$\frac{1}{2} x+9 = -x-24$

I moved all x to one side and all other constants to the other:

$\frac{3}{2} x = -33$

I divided by 3/2 (1.5) on both sides to isolate x:

$x = 22$

Hope it helps! (:

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2 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

just use a calculator

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2 years ago