All categories

3 years ago

(3^6)^-2/(6^-9*-2^10)

1 answer:

6 0

$\frac{(3^{6})^{-2}}{(6^{-9}*-2^{10})}\\
\frac{3^{-12}}{(6^{-9}*-2^{10})}\\
\frac{6^{9}}{(3^{12}*-2^{10})}\\
\frac{10077696}{531441*-1024}=-0.0185185$

You might be interested in

What is 0,-4/7,-1/3,0.1,-0.1 in form least to greatest

Rashid [163]

Answer:

-4/7, -1/3, -0.1, 0, 0.1

Step-by-step explanation:

5 0

3 years ago

A fish tank contains 18 goldfish and 22 guppies. If you randomly select 2 fish, what is the probability that they are both goldf

Leya [2.2K]

The total number of fish available in the tank is (18 + 22) = 40. The probability for 1 goldfish to be taken out would be 18/40. Now, after drawing the first fish, the probability to get another goldfish would be 17/39. And the probability to draw 2 goldfish would be the product of both probabilities. P = (18/40)(17/39) = 51/260 So,the answer is B.

3 0

3 years ago

Read 2 more answers

Calculate the Area of the square

Naddika [18.5K]

Answer:

208 squared

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Figure RST is reflected about the y-axis to obtain figure R’S’T’:

EleoNora [17]

Answer:

Step-by-step explanation:

Flipping a graph keeps the figures size the same, so it isn't A. Flipping it doesn't rotate the angles either(R is equal to R', S to S' etc.), so the answer is B.

5 0

3 years ago

Read 2 more answers

Sin4x.sin5x+sin4x.sin3x-sin2x.sinx=0

andreev551 [17]

Recall the angle sum identity for cosine:

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==> sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))

Then rewrite the equation as

sin(4x) sin(5x) + sin(4x) sin(3x) - sin(2x) sin(x) = 0

1/2 (cos(-x) - cos(9x)) + 1/2 (cos(x) - cos(7x)) - 1/2 (cos(x) - cos(3x)) = 0

1/2 (cos(9x) - cos(x)) + 1/2 (cos(7x) - cos(3x)) = 0

sin(5x) sin(-4x) + sin(5x) sin(-2x) = 0

-sin(5x) (sin(4x) + sin(2x)) = 0

sin(5x) (sin(4x) + sin(2x)) = 0

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Rewrite the equation again as

sin(5x) (2 sin(2x) cos(2x) + sin(2x)) = 0

sin(5x) sin(2x) (2 cos(2x) + 1) = 0

sin(5x) = 0 or sin(2x) = 0 or 2 cos(2x) + 1 = 0

sin(5x) = 0 or sin(2x) = 0 or cos(2x) = -1/2

sin(5x) = 0 ==> 5x = arcsin(0) + 2nπ or 5x = arcsin(0) + π + 2nπ

… … … … … ==> 5x = 2nπ or 5x = (2n + 1)π

… … … … … ==> x = 2nπ/5 or x = (2n + 1)π/5

sin(2x) = 0 ==> 2x = arcsin(0) + 2nπ or 2x = arcsin(0) + π + 2nπ

… … … … … ==> 2x = 2nπ or 2x = (2n + 1)π

… … … … … ==> x = nπ or x = (2n + 1)π/2

cos(2x) = -1/2 ==> 2x = arccos(-1/2) + 2nπ or 2x = -arccos(-1/2) + 2nπ

… … … … … … ==> 2x = 2π/3 + 2nπ or 2x = -2π/3 + 2nπ

… … … … … … ==> x = π/3 + nπ or x = -π/3 + nπ

(where n is any integer)

5 0

3 years ago