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3 years ago

Simplify the expression ((p-²+1/p)^1)^p when p=3/4 radical form rational exponent form

Mathematics

1 answer:

Andrej [43]3 years ago

4 0

Answer:( 3/4 - 2 + 1 ) 1 ( 3/4) = -3/16

Step-by-step explanation:

-5/4 + 1)^1(3/4)

-1/4) 1 (3/4)

-1/4 ( 3/4) = -3/16

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Find all solutions to 4tan(3x)=-4 between 0° and 360°<br>

jeyben [28]

Divide both sides by 4 to get

$\tan(3x)=-1$

Recalling the definition of tangent as ratio between sine and cosine, we have

$\tan(3x)=-1 \iff \dfrac{\sin(3x)}{\cos(3x)}=-1 \iff \sin(3x)=-\cos(3x)$

The sine and cosine of an angle are opposite only if the angle is

$\alpha = 135+180k,\quad k \in \mathbb{Z}$

So, we have

$3x=135+180k \iff x = 45+60k,\quad k \in \mathbb{Z}$

So, the solutions are

$\alpha \in \{45,\ 105,\ 165,\ 225,\ 285,\ 345\}$

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3 years ago

Polly has a very rain number of dollar bills in her purse and no change.She spends half the money on a scarf and gives $1dollar

miss Akunina [59]

Answer:$26

Step-by-step explanation:you do the problem in reverse adding when it says spends and multiplying when it says half. she has $1 dollar left if you work in reverse you then add $3 and get $4. then add $2 and get $6 then multiply that by 2 getting $12. you then add $1 and get $13 then the last step is multiplying and you get $26. hope this helps

3 0

4 years ago

What is the vertex of the graph of y = –x2? (–1, 0) (0, –1) (0, 0) (1, 1)

mestny [16]

Answer:

The vertex is (0, 0).

Step-by-step explanation:

Check out the parent function: y = x^2. The graph is a parabola whose vertex is (0, 0) and which opens upward.

Then y = -x^2 is the same but opens downward. The vertex is (0, 0).

4 0

3 years ago

1 over the square root of 8 = 4^(m − 2)?

andrew11 [14]

Answer:

5.5

Step-by-step explanation:

$\frac{1}{ \sqrt{8} } = {4}^{(m - 2)} \\$

Squaring both sides

$\frac{1}{8} = {4}^{2(m - 2)} \\ \frac{1}{8} = {4}^{2} \times {4}^{(m - 2)} \\ \frac{1}{8 \times {4}^{2} } = {4}^{(m - 2)} \\ \frac{1}{8 \times 16} = {4}^{(m - 2)} \\ \frac{1}{128} = {4}^{(m - 2)} \\ log_{4}(128) = (m - 2) \\ \frac{7}{2} = m - 2 \\ m = \frac{11}{2} = 5.5$

7 0

4 years ago

PLEASE HELP !?

krok68 [10]

Median

Step-by-step explanation:

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3 years ago