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Lelu [443]
4 years ago
8

An alien creature lives forever. It is born as a youngling and after 1 month matures to an adult - from then on it produces two

younglings every month. (In other words, an alien starts producing younglings every month starting two months after it was born). If there is initially just one alien and a n is the number of aliens after n months, what is lim an 1/an as n approach infinity?
Mathematics
1 answer:
Rufina [12.5K]4 years ago
8 0

This is the fibonacci formula.

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What is the radius of a circle with an area of 113.04 cubic inches? Use 3.14 for pi. Enter your answer in the box. in.
gizmo_the_mogwai [7]

Answer:

6 inches.  

Step-by-step explanation:

We have been given that area of a circle is 113.04 cubic inches and we are asked to find the radius of the circle.

We will use area of circle formula to find the radius of our circle.

\text{Area of circle}=\pi r^2

Upon substituting the area of given circle we will get,

113.04=\pi r^2

Substituting \pi=3.14 we will get,

113.04=3.14*r^2  

\frac{113.04}{3.14}=\frac{3.14*r^2}{3.14}  

36=r^2

Upon taking square root of both sides of our equation we will get,

r=\pm 6  

Since the radius of the circle can not be negative, therefore, the radius of circle will be 6 inches.  


4 0
3 years ago
in Youngstown, the population reached 4420 people in 1993. in 1998 the population was 5600 residents. what was the population in
Julli [10]
5600 - 4420 = 1180....so there is a difference of 1180 in a period of (1998 - 1993) = 5 yrs.

1180/5 = 236 people per yr

so in 1998 the population was 5600.....in 2000 (2 yrs later) the population would be : 5600 + 236(2) = 5600 + 472 = 6072 <==
4 0
4 years ago
If someone could help me I would really appreciate it!<br><br> Factor by slide and divide!
OleMash [197]

Answer:

(3x-4)(2x+5)

Step-by-step explanation:

6x^2 + 7x + 24

= 6x^2 + (15-8)x + 24

= 6x^2 + 15x - 8x + 24

= 3x( 2x+5 ) - 4( 2x+5 )

= (3x-4)(2x+5)

5 0
3 years ago
If y varies inversely with x, and y=8 when x=10 find x when y=4
lana66690 [7]

Answer:

x = 4

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 8 when x = 10

k = yx = 8 × 10 = 80

y = \frac{80}{x} ← equation of variation

When y = 4, then

4 = \frac{80}{x} ( multiply both sides by x )

4x = 80 ( divide both sides by 4 )

x = 20

7 0
4 years ago
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of
Eva8 [605]

Answer:

The maximum revenue Luci can make selling cookies in one day is $2,000.

The price she should sell the cookies to make the maximum revenue is $1

Step-by-step explanation:

W are given the following in the question:

x= -2000 p + 4000 ................ (1)

Therefore, revenue can be obtained as follows:

Revenue = R = px = p(-2000 p + 4000) = -2000p^2 + 4000p ........... (2)

Differentiating equation (2) with respect to p and equate to 0, we have:

dR / dp = -4000p + 4000 = 0 ................. (3)

From equation (3), we solve for p as follows:

-4000p + 4000 = 0

4000 = 4000p

p = 4000 / 4000

p = 1

Therefore, this implies that the price she should sell the cookies to make the maximum revenue is $1.

Substituting p = 1 into (2), we have:

Revenue = (-2000 * 1^2) + (4000 * 1)

Revenue = -2000 + 4000

Revenue = 2000

Therefore, this implies that the maximum revenue Luci can make selling cookies in one day is $2,000.

5 0
3 years ago
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