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Nadusha1986 [10]
3 years ago
13

Suppose a population of 50 crickets doubles in size every 3 months. How many crickets will there be after 2 years?

Mathematics
2 answers:
Verizon [17]3 years ago
8 0

This is a Geometric Progression problem.

We can use the formula

= a1 + q^{n-1}

= 50 x 2^(8-1)

50 is starting number

2 is doubled

8 is how many sets of 3 months in 2 years

= 50 x 2^(7)

= 50 x 128

= 6400

Rus_ich [418]3 years ago
5 0

Answer:

800 crickets.

Step-by-step explanation:

If the population starts at 50 crickets and doubles every 3 months that's 100 crickets every three months.

There are 12 months in a year.

So, we have to multiply 100 by 4.

That gets us 400.

So that is 400 crickets each year.

Since it is 2 years it would be 800 crickets.

Hope this helps!

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3+ - 1 I hole this helped
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3 years ago
Jen has 6 yards of fabric and wants to make a new dress and shorts she used 3 1/3 yards of the fabric on her new dress how much
kodGreya [7K]

Answer:

2\frac{2}{3}\ yards

Step-by-step explanation:

we know that

To find out how much fabric Jen has left for the shorts, subtract the yards of fabric used in her new dress from the total yards of fabric Jen has.

so

6-3\frac{1}{3}

Convert mixed number to an improper fraction

3\frac{1}{3}=\frac{3*3+1}{3}=\frac{10}{3}

substitute

6-3\frac{1}{3}=6-\frac{10}{3}=\frac{8}{3}\ yards

Convert to mixed number

\frac{8}{3}\ yards=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}\ yards

5 0
3 years ago
Add the following values.<br> (2.1 × 1016) + (3.2 × 1015)
qwelly [4]

Answer:

5381.6

Step-by-step explanation:

(2.1 × 1016) + (3.2 × 1015)

= 5381.6

8 0
3 years ago
Can you answer the questions below
DerKrebs [107]
I think the easiest way to answer all of these is to just go ahead and find the equation of the line first. 

I'm pretty sure that by the time you reach this problem, you've learned to find
the equation of a line that passes through two given points.  You have two points:  (2, 100) and (5, 205).  The equation of the line through them is [ y = 35x + 30 ].

6).  The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30.  (Also the y-intercept.)

7).  The cost per month is $35.  (The slope of the line.)

8).  We already did that, up above.  [  y = 35x + 30 ].

9).  'x' in the equation is the number of months.
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7 0
3 years ago
PLEASE HELP ASAP!
Mamont248 [21]

Answer:

(x-4)^2+(y+7)^2=43

Step-by-step explanation:

The standard equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

We are given that the center is (4, -7) and that the radius is √(43).

So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:

(x-(4))^2+(y-(-7))^2=(\sqrt{43})^2

Simplify. Hence, our equation is:

(x-4)^2+(y+7)^2=43

7 0
3 years ago
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