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3 years ago

Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

2 answers:

9 0

<span> Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

</span>
<span> The domain contains only natural numbers. </span>

kondor19780726 [428]3 years ago

4 0

<h3><u>Answer:</u></h3>

The correct answer is:

The domain contains only natural numbers.

<h3><u>Step-by-step explanation:</u></h3>

The graphs of geometric sequences are a series of unconnected points rather than a smooth curve because:

The domain contains only natural numbers.

<em> As the geometric sequence us given as:</em>

<em> $a_1=a,a_2=ar,a_3=ar^2,....$ </em>

where a is the first term of the sequence and r is the common ratio of the geometric sequence.

Also $a_n$ denotes the nth term of the sequence where n belongs to natural numbers that is the domain of the function is natural numbers.

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A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

fomenos

Answer:

Wire used for square is 7.55 m.

Step-by-step explanation:

Let the length of wire cut for square be 'x'.

Given:

Total length of the wire = 25 m

Length of wire for square = 'x'

Length of wire for equilateral triangle = $25-x$

Now, area of square (a) = $x^2$

Area of equilateral triangle (e) is given as:

$e=\frac{\sqrt3}{4}(25-x)^2$

Now, total area (A) is given as:

$A=a+e\\\\A=x^2+\frac{\sqrt3}{4}(25-x)^2$

Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.

∴ $\frac{dA}{dx}=0$

$\frac{d}{dx}(x^2+\frac{\sqrt3}{4}(25-x)^2)=0\\\\2x-\frac{\sqrt3}{2}(25-x)=0\\\\2x+\frac{x\sqrt3}{2}=\frac{25\sqrt3}{2}\\\\x(2+\frac{\sqrt3}{2})=\frac{25\sqrt3}{2}\\\\x(4+\sqrt3)=25\sqrt3\\\\x=\frac{25\sqrt3}{4+\sqrt3}=7.55\ m$

Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.

3 0

3 years ago

Final Amount 10,400

soldi70 [24.7K]

Answer:

$9629.63

Step-by-step explanation:

I assume this is simple interest.

The formula for simple interest is

F = P(rt + 1)

where F = future value,

P = present value

r = annual interest rate

t = number of years

10,400 = P(0.02 × 4 + 1)

10,400 = 1.08P

10,400/1.08 = P

9,629.63 = P

Answer: $9629.63

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