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3 years ago

F(1) = -3 f(n) = 2. f(n − 1) +1 f(2)=

1 answer:

5 0

f ( 2 ) = 2 × f ( 2 - 1 ) + 1 

f ( 2 ) = 2 × f ( 1 ) + 1 

f ( 2 ) = 2 × ( - 3 ) + 1 

f ( 2 ) = - 6 + 1 

f ( 2 ) = - 5 

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mote1985 [20]

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3 years ago

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tatiyna

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Step-by-step explanation:

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3 years ago

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The area of the regular hexagon is 169.74 ft2 what is the perimeter, rounded to the nearest tenth

Bess [88]

Answer:

Perimeter of given regular hexagon is 48.5 ft.

Step-by-step explanation:

Let ABCDEF be the regular hexagon as shown in the attached figure.

O be the intersection point of the diagonals EB, FC and AD.

As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.

In other words,

$\triangle EOD, \triangle DOC, \triangle BOC, \triangle AOB, \triangle AOF , \triangle FOE$ are equilateral $\triangle s$ .

Area of an equilateral $\triangle$ is defined as :

$\dfrac{\sqrt{3}}{4} \times a^{2}$

Where a is the side of $\triangle$ .

Area of hexagon = $6 \times \dfrac{\sqrt{3}}{4}\times a^{2}$

We are given that area of hexagon = 169.74 $ft^{2}$

Let s be the side of hexagon.

$\Rightarrow 6 \times \dfrac{\sqrt{3}}{4}s^{2} = 169.74 ft^{2}\\\Rightarrow s = 8.08 ft$

A regular Hexagon is made up of 6 equal sides, so

Perimeter of a regular hexagon = $6 \times side$

Perimeter = $6 \times 8.08$

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So, perimeter of given regular hexagon is $48.5 ft$ .

6 0

3 years ago

Art galleries often price painting by the square inch if a painting measures 22.5 inches by 34 inches and costs $4.15 per square

juin [17]

Answer:

$3174.75

Step-by-step explanation:

You take 22.5 and 34 and multiply them to find the square feet then you have to multiply that by the price per square foot.

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3 years ago

Which of the following is the most appropriate unit to describe the rate at which a person reads? (2 points) Group of answer cho

Molodets [167]

Option third "words per minute, because the independent quantity is the minutes" is the correct choice.

<h3>What is the rate of change?</h3>

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have a statement:

Which of the following is the most appropriate unit to describe the rate at which a person reads?

As we know the rate of change is the ratio of change in y to change in x.

y is the dependent quantity and x is the independent quantity.

Rate of change = change in y/change in x

Rate at which a person reads = words/minute

Word is the dependent quantity and minute is the independent quantity.

Thus, option third "words per minute, because the independent quantity is the minutes" is the correct choice.

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ1

3 0

2 years ago