All categories

4 years ago

Write each expression in radical form. (3b)^4/3

Mathematics

1 answer:

Evgesh-ka [11]4 years ago

7 0

Answer:

Step-by-step explanation:

(3b)^(4/3) is equivalent to ∛(3b)^4.

∛[81b^4] is also equivalent.

You might be interested in

What is significant figures

bija089 [108]

Answer:

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit.

Step-by-step explanation:

8 0

3 years ago

Which choice is equivalent to the expression below?

Alexxandr [17]

D) since
$\sqrt{ - 20} = \sqrt{ 4 \times - 5} = 2 \sqrt{ - 5} = 2 \sqrt{5 \times ( - 1)} = 2 \ \sqrt{5} i$

4 0

3 years ago

Read 2 more answers

Let P be a non zero polynomial such that P(1+x)=P(1−x) for all real x, and P(1)=0. Let m be the largest integer such that (x−1)

marin [14]

Answer:

m = 0, P(3)/2, P(4)/6, P(5)/12 ..........

Step-by-step explanation:

For non zero polynomial, that is all real x as follows:

x = 1, 2, 3, 4 ............

Using, P(1 + x) = P(1 - x)

For x = 1: P(2) = P(0) = 1

For x = 2: P(3) = P(-1) = 2

Hence, P(x)/m(x - 1) can be solved as follows:

When = 1

P(2)/0 = 1

∴ m = 0

When x = 2

P(3)/m = 2

∴ m = P(3)/2

When x = 3

P(4)/2m = 3

∴ m = P(4)/6

When x = 4

P(5)/3m = 4

∴ m = P(5)/12

Hence, m = 0, P(3)/2, P(4)/6, P(5)/12......

4 0

3 years ago

Y = 1/2x - 4 Slope: X-intercept: Y-intercept:

ValentinkaMS [17]

Answer:

Slope = $\frac{1}{2}$ , X-intercept = 8 , Y-intercept = -4

Step-by-step explanation:

the following equation is given in slope intercept form which is y = mx + b where m is the slope and b is the y intercept

since m = $\frac{1}{2}$ and b = -4, we can say our slope is $\frac{1}{2}$ and y intercept is -4.

Recall that x intercept occurs when y = 0 so plug y = 0 in the equation then solve for x

0 = $\frac{1}{2}$ x - 4

add 4 to both sides,

4 = $\frac{1}{2}$ x

multiply by 2 on both sides,

4*2 = x

8 = x

x = 8

so our x-intercept is 8

8 0

3 years ago

Use the unit circle to evaluate these expressions:

sergeinik [125]

Answer:

a) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4$

For this case we know that $sin (\pi/4) = \frac{\sqrt{2}}{2}$

So then $sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}$

b) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$19 \pi/6 - 2\pi = \frac{7\pi}{6}$

For this case we know that $cos (\pi/6) = \frac{\sqrt{3}}{2}$

And we know that $\frac{7\pi}{6}$ is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then $cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}$

c) For this case that any factor of $\pi$ the sin function is equal to 0.

So from definition of tan we have this:

$tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0$

Step-by-step explanation:

a. sin (17pi / 4 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4$

For this case we know that $sin (\pi/4) = \frac{\sqrt{2}}{2}$

So then $sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}$

b. cos (19pi / 6 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$19 \pi/6 - 2\pi = \frac{7\pi}{6}$

For this case we know that $cos (\pi/6) = \frac{\sqrt{3}}{2}$

And we know that $\frac{7\pi}{6}$ is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then $cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}$

c. tan(450pi)

For this case that any factor of $\pi$ the sin function is equal to 0.

So from definition of tan we have this:

$tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0$

4 0

3 years ago