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lorasvet [3.4K]
3 years ago
9

What is the simplified form of left parenthesis 27 x to the power of negative six end power y to the power of 12 end power right

parenthesis to the power of start fraction two over three end fraction end power?

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0
Hello,
Please, see the attached file,
Thanks.

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sergejj [24]
It can help you by checking your answer
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Find the value of k.<br> 62°<br> 45°<br> k°
Irina18 [472]
If this an angle on a straight line the answer is k=73°
8 0
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A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?
frez [133]

Answer:

30

Step-by-step explanation:

45+45 = 90

150-90 = 60

60/2 = 30

I think...

8 0
3 years ago
Seventh graders collected some gold sand on a class field trip.
satela [25.4K]

Answer:

Class 7A collected 4.8 ounces of pure gold.

Step-by-step explanation:

<u>Key skills required are: Percentages, Multiplication</u>

<u />

  1. We only need the information about Class 7A. They collected 40 oz that contains 12% gold.
  2. In other words, this means that 12% of that 40 oz gold sand is pure gold.

Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.

<em>Do 0.12 x 40 and you will get 4.8</em>

Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand

3 0
3 years ago
Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the inter
hoa [83]

Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

y = A sin(ωt + φ)

We know that ω = 4π.  We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

29 = A²

A = √29

The equation of the wave is therefore:

y = √29 sin(4π t + tan⁻¹(5/2))

The maximum negative position is -√29.  And half of that is -½√29.

-½√29 = √29 sin(4π t + tan⁻¹(5/2))

-½ = sin(4π t + tan⁻¹(5/2))

7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)

7 + 12k or 11 + 12k = 24t + 6 tan⁻¹(5/2) / π

t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.

t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24

t ≈ 0.20 or 0.36

5 0
3 years ago
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