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3 years ago

What is the answer to this questions it is worth 20 points

Mathematics

1 answer:

irinina [24]3 years ago

3 0

<h2><u>Answer</u> : </h2>

By observing the table we can conclude that for the number of years to travel back double the electricity is required .

i.e. for 5 years = 10 megawatts

therefore, the relationship between x and y can be depicted by the following equation :

$\boxed{ \boxed{y = 2x}}$

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Find the common ratio r for the geometric sequence and use r to find the next three terms. Enter your answer to four decimal pla

Juliette [100K]

Answer: The next three terms =2.56, - 1.024 and 0.4096

Step-by-step explanation:

Common Ratio of a Geometric sequence, R is calculated as

=a2/a1 = -40/100=-0.4

or a3/a2=16/ -40 = -0.4

such that the next three terms are

5th term = -6.4 x -0.4=2.56

6th term= 2.56 x -0.4 =-1.024

7TH term= -1.024 x -0.4=0.4096

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3 years ago

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3 years ago

If f(x)=ln(sin(2x)), f''(π/4) is equal to

Licemer1 [7]

Use the chain rule to compute the second derivative:

$f(x)=\ln(\sin(2x))$

The first derivative is

$f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}$

$f'(x)=2\cot(2x)$

Then the second derivative is

$f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'$

$f''(x)=-4\csc^2(2x)$

Then plug in π/4 for <em>x</em> :

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3 years ago

When the manager of Fantastic Furniture buys a sofa from a manufacturer, she uses a markup of 45% of her cost to set the selling

bulgar [2K]

Answer:

Selling price= $580

Step-by-step explanation:

eGiving the following information:

Buying price= $400

Mark-up percentage= 45% = 0.45

<u>The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.</u>

Mark-up= buying price* Mark-up percentage

Mark-up= 400*0.45

Mark-up= $180

<u>Now, the selling price:</u>

Selling price= 400 + 180

Selling price= $580

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3 years ago

Type the correct answer in each box.

Vilka [71]

Answer:

2x + 2y = 24

Step-by-step explanation:

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3 years ago