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k0ka [10]
3 years ago
12

The growth of a bug population shows a geometric sequence as shown in the table. This pattern continues indefinitely. What will

the population be on Week 20?
♦about 1,496,366
♦about 997,577
♦about 665,051
♦about 464,758

Mathematics
2 answers:
Nonamiya [84]3 years ago
3 0
The common ratio is,
r= 450/300 = 3/2


nth term of geometric series is given by,
a_{n} = a₁r^{n-1}
a₂₀ = 300(3/2)¹⁹ = 665051
Svetlanka [38]3 years ago
3 0

Answer:

the population be on Week 20 is about 665,051

Step-by-step explanation:

The growth of a bug population shows a geometric sequence as shown in the table

For all geometric sequence , there should be a common ratio

Lets find common ratio 'r'

To find common ratio we divide second term by first term

so common ratio r= \frac{450}{300} =\frac{3}{2}

To find nth term of geometric sequence , formula is

a_n = a_1(r)^{n-1}

Where a1 is the first term  and r is the common difference

a1= 300 and r= 3/2

We need to find the population on Week 20, so n= 20

We plug in all the values and find out a20

a_{20} = 300(\frac{3}{2})^{20-1}

a_{20} = 300(\frac{3}{2})^{19}=300*2216.83782=665051.346

the population be on Week 20 is about 665,051

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A factory whistle blows every 30 minutes. The clock tower chimes every 15 minutes. If they both sounded at 1:00 p.M.,at what tim
madam [21]

Answer:

1.30 p.M.

Step-by-step explanation:

The factory whistle blowed at 1:00 p.M, and it blows every 30 minutes, so it will blow again at 1:30 p.M.

The clock tower chimed at 1.00 p.M., and it chimes every 15 minutes, so it will chime again at 1:15 p.M, and after that, it will chime again at 1:30 p.M.

So, you will hear them both at the same time at 1:30 p.M.

We can also solve this problem using LCM:

the least commom multiple between 15 and 30 is 30, so we just need to sum 30 to the inicial time (1:00 p.M.), so the time they will "find each other" again is 1.30 p.M.

7 0
3 years ago
What is the area of this rectangle in square yards?
Vikentia [17]
In the comment of the other answer, you said that the rectangle is 24 x 18 ft.

First, we have to find out how many square feet that is, and then we can convert it to square yards.

The area of a rectangle is the length multiplied by the width.

A = l x w
A = 24 x 18
A = 432 square feet

To find out how many square yards that is, we divide it by 3, because 1 yard is 3 feet.

432 ÷ 3 = 144

The area of a 24x18ft rectangle is 144 square yards.
7 0
3 years ago
3/15divied by 4/9
Novay_Z [31]
Some things you can do is put them in decimals but the answer is 0.45
3 0
3 years ago
Read 2 more answers
A bag contains 30 lottery balls numbered 1-30 a ball is selected replaced then another is drawn find each probability
iogann1982 [59]
#1) 5/20
#2) 7/300
#3) 3/50
#4) 5/20

Explanation
For #1:
There are 15 even numbers out of 30.  Since it is replaced before drawing the second ball, there will be 15 odd numbers out of 30.  This gives us
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For #2:
There is 1 7 out of 30; then there are 14 numbers greater than 16 out of 30:
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For #3:
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6/30(9/30) = 54/900 = 3/50

For #4:
There are 15 even numbers out of 30; then there are still 15 even numbers out of 30:
15/30(15/30) = 225/900 = 5/20
7 0
3 years ago
Read 2 more answers
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Answer:

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8 0
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