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stich3 [128]
3 years ago
14

4(3x^2y^4)^3 / (2x^3y^5)^4

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Solving the expressions  \frac{4(3x^2y^4)^3}{(2x^3y^5)^4} we get \frac{27}{4x^{6}y^{8}}

Step-by-step explanation:

We need to Solve the expression: \frac{4(3x^2y^4)^3}{(2x^3y^5)^4}

Solving:

\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}

=\frac{4(3^3x^6y^{12})}{(2^4x^{12}y^{20})}\\=\frac{4(27x^6y^{12})}{(16x^{12}y^{20})}\\=\frac{108x^6y^{12}}{16x^{12}y^{20}}

Applying exponent rule: \frac{x^a}{x^b}=x^{a-b}

=\frac{108x^{6-12}y^{12-20}}{16}\\=\frac{27x^{-6}y^{-8}}{4}

Another exponent rule says: x^{-a}=\frac{1}{x^a}=

=\frac{27}{4x^{6}y^{8}}

So, solving the expressions  \frac{4(3x^2y^4)^3}{(2x^3y^5)^4} we get \frac{27}{4x^{6}y^{8}}

Keywords: Solving Exponents  

Learn more about Solving Exponents at:

  • brainly.com/question/13174260
  • brainly.com/question/13174254
  • brainly.com/question/13174259

#learnwithBrainly

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Write an equation that expresses the following relationship. w varies directly with u and inversely with d In your equation, use
Elena L [17]

Step-by-step explanation:

solution.

if variable d increases then w reduces

w=k.u ×1/d

=ku/d

therefore w=k.u/d

5 0
2 years ago
An airplane flies 315 km in 1 hour 45 minutes. Calculate the average speed.
valentina_108 [34]

Answer:

3 km per minute

Step-by-step explanation:

speed = distance / time

315km/105 minutes

= 3 km per minute

4 0
2 years ago
What is the minimum number of clients the travel agent should survey? Note that z=1.96 for a 95% confidence interval.
slega [8]

Answer:

121

Step-by-step explanation:

Given data as per the question

Standard deviation = \sigma = 840

Margin of error = E = 150

Confidence level = c = 95%

For 95% confidence, z = 1.96

based on the above information, the minimum number of clients surveyed by the travel agent is

n = (\frac{z\times \sigma}{E})^2

=  (\frac{1.96\times 840}{150})^2

= 120.47

= 121

hence, the 121 number of clients to be surveyed

Therefore we applied the above formula to determine the minimum number of clients

4 0
3 years ago
Last weekend, a movie theater sold 250 tickets to a movie. This weekend, the movie thater sold 18% fewer tickets to that same mo
GREYUIT [131]

Answer:

205 tickets

Step-by-step explanation:

You multiply 250 by 0.18 (decimal form of 18%) and u get 45

Then you subtract 45 from 250 and you get 205

4 0
2 years ago
1.
Lostsunrise [7]

Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.

<h3>What is the law of sines?</h3>

Suppose we have a triangle in which:

  • The length of the side opposite to angle A is a.
  • The length of the side opposite to angle B is b.
  • The length of the side opposite to angle C is c.

The lengths and the sine of the angles are related as follows:

\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}

For the situation described, we have that:

  • The height is opposite to the angle of 42º.
  • The 425 meters are opposite to the angle of 87º.

Hence:

\frac{\sin{42^\circ}}{h} = \frac{\sin{87^\circ}}{425}

Applying cross multiplication:

h = 425\frac{\sin{42^\circ}}{\sin{87^\circ}}

h = 284.77 meters.

More can be learned about the law of sines at brainly.com/question/25535771

#SPJ1

3 0
2 years ago
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