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3 years ago

Which expression is equivalent to r^m ÷ r^n?

Mathematics

1 answer:

Andre45 [30]3 years ago

7 0

R^m ÷ r^n is equal to r^(m-n).

For example, 2^5 <span>÷ 2^3 = 2^2.
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Is that what you mean?

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Simplify the following expression. cot^2x secx-cosx

Solnce55 [7]

ANSWER

$\cos(x) \cot ^{2} (x)$

EXPLANATION

The given expression is;

$\cot^{2} (x) \sec(x) - \cos(x)$

Change everything to

$\sin(x)$

and

$\cos(x)$

This implies that,

$\frac{ \cos^{2} (x) }{ \sin^{2} (x) } \times ( \frac{1}{ \cos(x) } )- \cos(x)$

Cancel the common factors,

$\frac{ \cos(x) }{ \sin^{2} (x) } \times ( \frac{1}{1} )- \cos(x)$

$\frac{ \cos(x) }{ \sin^{2} (x) }- \cos(x)$

$\frac{ \cos(x) - \sin ^{2} (x) \cos(x) }{ \sin^{2} (x) }$

$= \frac{ \cos(x)(1 - \sin ^{2} (x) ) }{ \sin^{2} (x) }$

$= \frac{ \cos(x)(\cos^{2} (x) ) }{ \sin^{2} (x) }$

$= \cos(x) \cot^{2} (x)$

6 0

3 years ago

Find the error in the student's work. Which of the following steps is where the first error occurred?

Stels [109]

Answer:

Step 1 should have a -2 substituted for both values.

5 0

3 years ago

What is the cube root of 3?

PtichkaEL [24]

The cube root of 3 is 1.44224957031

7 0

3 years ago

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Use the properties of exponents to rewrite y=3e^-0.6t in the form y=a(1+r)^t or y=a(1-r)^t. Round the value or r to the nearest

vesna_86 [32]

Answer:

$y=3(1-0.451)^t$

The value of r is 0.451

The percentage decrease is about 45.1%

Step-by-step explanation:

The given exponential function is $y=3e^{-0.6t}$

Using the exponent rule, $(x)^{ab}=(x^a)^b$

$y=3(e^{-0.6})^t$

Now the value of $e^{-0.6}=0.5488$

Thus, we can rewrite the function as

$y=3(0.5488)^t$

Therefore, the function in form $y=a(1-r)^t$

$y=3(1-0.451)^t$

The value of r is 0.451

The percentage decrease is about 0.451 ×100 = 45.1%

8 0

4 years ago

Hey, this question is really simple but im a little tired and can't seem to get it.. 25 points and brainliest- please help out.

Nimfa-mama [501]

Answer:1/3

Step-by-step explanation:

It’s 4/12 so divide both numbers by 4 is 1/3

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3 years ago

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