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3 years ago

A 500 cm piece of wire with a radius of 0.2 cm has a resistance of 0.025 ohm. Find an equation that relates these variables.

Mathematics

1 answer:

kirza4 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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Write as a single logarithm

Anettt [7]

ANSWER

$c. \ln( \frac{2 {x}^{3} }{3y})$

EXPLANATION

We want to write

$ln(2x) + 2 ln(x) - ln(3y)$

as a single logarithm.

Use the power rule to rewrite the middle term:

$n \: ln(a) = ln( {a}^{n} )$

$ln(2x) + ln( {x}^{2} ) - ln(3y)$

Use the product rule to obtain:

$ln(a) + ln(b) = ln(ab)$

$ln(2x \times {x}^{2} )- ln(3y)$

$ln(2{x}^{3} )- ln(3y)$

Apply the quotient rule:

$ln(a) - ln(b) = ln( \frac{a}{b})$

$ln(2{x}^{3} )- ln(3y) =\ln(\frac{2 {x}^{3} }{3y})$

7 0

3 years ago

The graph below shows the solution set of which inequality?

GrogVix [38]

Answer:

The answer is the option D

$x^{2} > 4$

Step-by-step explanation:

we know that

The inequality

$x^{2} > 4$

has two solutions

<u>First solution</u>

$x > 2$

The solution is the interval-------> (2,∞)

All real numbers greater than $2$

<u>Second solution</u>

$-x > 2$ ------> $x < -2$ -

The solution is the interval-------> (-∞,-2)

All real numbers less than $-2$

using a graphing tool

see the attached figure

3 0

3 years ago

Read 2 more answers

Whats the distance between (-3,4) and (5,1)?

guajiro [1.7K]

Answer:

Step-by-step explanation:

(-3,4) and (5,1)

(-3,4) is in quadrant 2 and (5,1) is in quadrant 1. So think of that.

(x+8, y-3)

8 units to the right and 3 units down

3 0

3 years ago

Read 2 more answers

State the degree: 11m^3n^2p

Vadim26 [7]

<h3>Answer: 6</h3>

Explanation:

Using the rule that x = x^1, we can rewrite the p as p^1

So 11m^3n^2p is the same as 11m^3n^2p^1

The exponents are: 3, 2, 1

Those exponents add up to 3+2+1 = 6

The degree of a monomial like this is simply equal to the sum of the exponents.

7 0

3 years ago

Read 2 more answers

Find the given higher-order derivative.<br><br> f''(x) = 9- 3/x<br><br> f'''(x)=

Genrish500 [490]

Answer:

$f'''(x)=\frac{3}{x^{2}}$

Step-by-step explanation:

We are given with Second-order derivative of function f(x).

$f''(x)=9-\frac{3}{x}$

We need to find Third-order derivative of the function f(x).

$f''(x)=9-\frac{3}{x}=9-3x^{-1}$

We know that,

f'''(x) = (f''(x))'

So,

$f'''(x)=\frac{\mathrm{d}\,f''(x)}{\mathrm{d} x}$

$f'''(x)=\frac{\mathrm{d}\,(9-3x^{-1})}{\mathrm{d} x}$

$f'''(x)=\frac{\mathrm{d}\,9}{\mathrm{d} x}-\frac{\mathrm{d}\,3x^{-1}}{\mathrm{d} x}$

$f'''(x)=0-3\frac{\mathrm{d}\,x^{-1}}{\mathrm{d} x}$

$f'''(x)=-3(-1)x^{-1-1}$

$f'''(x)=3x^{-2}$

$f'''(x)=\frac{3}{x^{2}}$

Therefore, $f'''(x)=\frac{3}{x^{2}}$

4 0

4 years ago