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miv72 [106K]
3 years ago
12

Which expression is equivalent to...

Mathematics
1 answer:
torisob [31]3 years ago
7 0

Answer:

x^{\frac{2}{7} } y^{-\frac{3}{5} } \\  i.e answer A.

Step-by-step explanation:

This question involves knowing the following power/exponent rule:

\sqrt[n]{x^m} = x^\frac{m}{n} \\\\so \sqrt[7]{x^2} = x^\frac{2}{7} \\\\and  \\\\ \sqrt[5]{y^3} = y^\frac{3}{5} \\

Next, when a power is on the bottom of a fraction, if we want to move it to the top, this makes the power become negative.

so the y-term, when moved to the top of the fraction, becomes:

y^{-\frac{3}{5} } \\

So the answer is: x^{\frac{2}{7} } y^{-\frac{3}{5} } \\

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The graph shows distances traveled by two bikers. Which biker travels at a greater rate and what is that rate? A. Biker 1 8 mi/h
Snowcat [4.5K]
Biker B is traveling the fastest if you mean 2.10, but biker D is traveling faster if you mean 2/8.

4 0
4 years ago
Find the hourly wage if a $ 10.00 starting wage is increased by 2.5 % each year for 9 years.
djyliett [7]

10 * (1.025)^9 = 12,48

Maybe 12.49 depending on rounding.

6 0
3 years ago
Write as a complex number:<br> V-25
Alexxandr [17]

Answer:

C. 5i

Step-by-step explanation:

  • The square root of a negative number is computed as the normal square root (square root of 25 is 5), but due to the negative sign, we must account for "i", which stands for the imaginary unit.
5 0
3 years ago
Find the missing side length. and how do i set up to solve?
nikitadnepr [17]

Answer:

its 6 because the lines show they are parellel so it has to be equal to 18 and 12 plus 6 is 18

Step-by-step explanation:

6 0
3 years ago
Use graph to answer question
slamgirl [31]

Answer:

cos(θ) = 3/5

Step-by-step explanation:

We can think of this situation as a triangle rectangle (you can see it in the image below).

Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.

Here we want to find cos(θ).

You should remember:

cos(θ) = (adjacent cathetus)/(hypotenuse)

We already know that the adjacent cathetus is equal to 3.

And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:

3^2 + 4^2 = H^2

We can solve this for H, to get:

H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5

The hypotenuse is 5 units long.

Then we have:

cos(θ) = (adjacent cathetus)/(hypotenuse)

cos(θ) = 3/5

5 0
3 years ago
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