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Aneli [31]
3 years ago
14

Different varieties of field daisies have numbers of petals that follow a fibonacci sequence.Three varieties have 13,21, and 347

petals.
How many petals do the next two varieties of field daisy have?

a. 42, 55
b. 47,60
c. 42,50
d. 55,89
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0
The answer is letter d. The Fibonacci Sequence states to add the 2 previous number to get the next number starting with 1. So, 1 + 0=1, 1+1=2, 1+2=3, 2+3=5,3+5=8, 5+8=13, etc....

I added 13+21 to get 34. Then add 21+34 to get 55. Then add 34+55 to get 89.
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In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0
3 years ago
in how many ways of the permutations of 10 different things taken 4 at a time will one particular thing always occur​
olganol [36]

Answer:

do as direct

which one of the following is square of 4

2

8

16

64

4 0
3 years ago
Help with this one!<br><br><br> Show steps if you can pls :)
lianna [129]

Answer:

110%

Step-by-step explanation:

just divide by 2

20/2 = 10

22/2 = 11

so x% of 10 = 11

1.10 just like the last problem

110%

4 0
3 years ago
Find the measure of the missing angles.
sukhopar [10]

Answer:

B= 133°  C= 47°

Step-by-step explanation:

As shows on the right it's 133°

A= 133°

c+a =180° -a

= 180° -133°

=47°

a and c complement each other and

b= a = 133°

a and b are vertical angles

If you like my answer please click the brainiest thank you!

8 0
3 years ago
A parachutist's speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At this speed
Darya [45]

Answer:

Speed of the parachutist is meters per second 2.083 meter per second

Distance travelled in 2 seconds 4.167 meter

Step-by-step explanation:

Speed of the parachutist is kilometers per hour = 180

Speed of the parachutist is meters per second \frac{180*1000}{24*60*60} = 2.083 meter per second

Distance travelled in 2 seconds 2.083 *2 = 4.167 meter

8 0
3 years ago
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