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3 years ago

Find tenth term of the sequence (1,1,2,3,5,8,13)

1 answer:

7 0

This is what we call a Fibonacci sequence:

Notice that after the 1,1:

4th term =3 ==> 2+1

5th term =5 ==>3+2

6th term =8==> 5+3

7th term = 13==> 8+5

8th term =...........13+8 =21

9th term = ...........21+13 =34

10t=h term =........34+21 = 55

In short each number equal the sum of the 2 preceding number

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A meteor crater is 4000 feet in diameter. approximate the distance around the crater.

Troyanec [42]

9514 1404 393

Answer:

12,566 ft ≈ 2.38 miles

Step-by-step explanation:

The circumference of a circle is given by the formula ...

C = πd

For a diameter of 4000 ft, the circumference of a circular crater is about ...

C = (4000 ft)(3.141593) ≈ 12,566 ft

At 5280 ft per mile, that distance is about ...

(12,566 ft)/(5280 ft/mi) ≈ 2.38 mi

The distance around the crater is about 12,566 ft or 2.38 miles.

3 0

2 years ago

Construct the cumulative frequency distribution for the given data.

tino4ka555 [31]

Answer:

Age Frequency Cumulative Frequency

Less than 30 27 27

Less than 40 37 27 + 37 = 64

Less than 50 1 1 64 + 11 = 75

Less than 60 3 75 + 2 = 77

Less than 70 5 77 + 5 = 82

Less than 80 1 82 + 1 = 83

Less than 90 2 83 +2 = 85

Step-by-step explanation:

Given:

The Frequency Distribution table of ages of best actresses when award was won

To find:

Construct the cumulative frequency distribution

Solution:

In order to construct cumulative frequency distribution for the given data, each frequency from above table is added to the sum of the previous frequencies. For example, frequency for Less than 40 is 37 and the previous frequency (less than 30) is 27 so in order to calculate cumulative frequency 27 i.e. previous frequency is added to 37 (frequency of less than 30). The complete table is given above.

4 0

2 years ago

Find the values of x and y. <br> x + 7i = y − yi

lys-0071 [83]

Answer: X = y - yi - 7i

Y = (x + 7i)/(1 - i)

Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:

x + 7i = y − yi

X = y - yi - 7i

in the case of the (Y), first we select the common multiple.

y - yi = y(1 - i)

if we replace it in the original expression, we get the following equation:

x + 7i = y(1 - i)

after that you can pass the value (1 - i) to the other side dividing,

Y = (x + 7i)/(1 - i)

6 0

2 years ago

Read 2 more answers

Volume and surface area plz!!!

atroni [7]

volume is 180

surface area (area) is 105.97

6 0

3 years ago

for the following two numbers, find two factors of the first number such that their product is the first number and their sum is

zepelin [54]

You can make some algebraic equations and solve it.
The first would be:
$x \times y = - 21$
The second would be
$x + y = - 4$
You can then rearrange the second into
$x = - 4 - y$
And subsitute it into the first like so:
$( - y - 4) \times y = - 21$
After that, distribute the y into the parantheses.
${ - y}^{2} - 4y = - 21$
Subtract the 21 on both sides and multiply by -1 on both sides:
${ - y}^{2} - 4y + 21 \\ {y}^{2} + 4y - 21$
You then can factor it into:
$(y + 3) \times (y - 7) = 0$
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.

Thus, the answer is 7 and -3.

5 0

2 years ago