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Population growth represents the rate at which the population changes

Given that:

[tex]r_1 = 2[/tex] ----- i.e. when the population doubles

[tex]r_2 = \frac{1}{2}[/tex] ----- i.e. when the population cut in halves

Population growth is represented as: [tex]A_n = ar^{n}[/tex]

Organism A

For the first 5 days (when it doubles) is:

[tex]A_5 = ar_1^{5[/tex]

Substitute [tex]r_1 = 2[/tex]

[tex]A_5 = a\times 2^{5[/tex]

For the next 3 days (when it cut in halves) is:

[tex]A = A_5 \times r_2^3[/tex]

Substitute [tex]A_5 = a\times 2^{5[/tex] and [tex]r_2 = \frac{1}{2}[/tex]

[tex]A= a \times 2^5 \times (\frac{1}{2})^3[/tex]

Apply law of indices

[tex]A = a \times 2^5 \times 2^{-3[/tex]

[tex]A = a \times 2^{5-3[/tex]

[tex]A = a \times 2^{2[/tex]

So, the growth factor of organism A is:

[tex]A = a \times 2^{2[/tex]

Organism B

For the 8 days, we have:

[tex]B=ar_1^8[/tex]

[tex]B=a\times 2^8[/tex]

The expression (n) for the number of times the population of B is greater than A is:

[tex]n = \frac BA[/tex]

This gives:

[tex]n = \frac{a \times 2^8}{a \times 2^2}[/tex]

[tex]n = \frac{2^8}{2^2}[/tex]

Apply law of indices

[tex]n = 2^{8-2}[/tex]

[tex]n = 2^{6}[/tex]

The expression that is not in exponential form is:

[tex]n = 2 \times 2\times 2\times 2 \times 2\times 2[/tex]

[tex]n = 64[/tex]

Hence:

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Answer:

[tex]\displaystyle QUADRANT\:III[/tex]

Step-by-step explanation:

[tex]\displaystyle [POSITIVE, NEGATIVE] → QUADRANT\:IIII \\ [NEGATIVE, NEGATIVE] → QUADRANT\:III \\ [NEGATIVE, POSITIVE] → QUADRANT\:II \\ [POSITIVE, POSITIVE] → QUADRANT\:I[/tex]

I am joyous to assist you at any time.

Answer:

50 pencils in total

Step-by-step explanation:

5 boxes * 10 in each  = 50 pencil in total

Answer:

see below

Step-by-step explanation:

for 1)

angle y = 180 - 110 = 70 degrees

angle z = angle y = 70 degrees

angle x = 89 degrees

for 2)

angle 1 = 180 - 85 = 95 degrees

angle 2= 180 - 95 - 85 degrees

angle 3 = 180-95 = 85 degrees

for 3)

m angle 3 = 25 degrees, same as m angle 1

Answer:

To sum up, 1683/20 = 84.15. The number has 2 decimal places. As division with remainder the result of 1683 ÷ 20 = 84 R 3.

there :))) check out image I could attach one image...sorry

Hi ;-)

[tex]-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}[/tex]

Answer:

Step-by-step explanation:

Like terms are terms that have same variable with same power.

Combine like terms.

5a - 6b - 3a - 2b = 5a - 3a  - 6b - 2b

                           = 2a - 8b

Step-by-step explanation:

11) x^5

12) 5x^2

13) x+21

14) 2x-8

15) 3^3

=3*3*3

=27

16)2^5

=2*2*2*2*2

=32

17) 5^4

=5*5*5*5

=625

18)2 times a number p squared

19)3 times a number m fifth power

20)the addition of half a number and 2

Answer:

C

Step-by-step explanation:

distance Y multiply 1.0936

Answer:C

Step-by-step explanation:

M=Y(1.0936)

The bracket also represents multiplication

Answer:

(-1,3)

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

see in the picture .all steps are there

Step-by-step explanation:

The answer is mentioned above.

Hope it helps.

Answer:

n = 14

Step-by-step explanation:

12 - 10 = 2

12 + 2 = 14

Answer:

Step-by-step explanation:

Observation from input and output values:

Since each output is double of corresponding input, the missing output is:

Answer:

33.4%= 33.4 ÷100×9000= 3006.0

Answer:

2 is vertical opposite to 4 and 3 is vertical opposite to 1

6x² + 4 - 7x - 2x³

This is the simplest form for this equation.

Maybe I could solve furthermore if the value of X was given

Answer:

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

2x+3(x-1)=3x+11

___________________________________________

2x+3x-3=3x+11

-2x  -11        -2x -11

-7=1x

x=7

Answer:

yo this is false dont believe the hype

Step-by-step explanation:

yea thank biggie on this one

Answer:

Step-by-step explanation:

Let the number of games is g

Total cost at Mar Vista:

Total cost at Pinz:

Since same amount spent in both places, we have:

Answer:

12

Step-by-step explanation:

Let the game be x

3.5x + 2 = 3.25x + 5

3.5x - 3.25x = 5 - 2

0.25x = 3

x = 3/0.25

x = 300/25

x = 12

Step-by-step explanation:

✓121=121^1/2 =11

2*22/7 = 44/7 = 6.2

✓130=11.4

Answer from great to least = 11.4,11.1,11,6

Answer:

Step-by-step explanation:

Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

The parts of mathematics in which letters and other general systems are used to represent number and quantities in formulas and equations.

Answer:

B.16 mins start from home to school or school to home

Step-by-step explanation:

I. When bike is faster than walk 3 times

  Jane is in the middle of way to school

  if she walk mid point to school is 4 mins

 then mid point to home is 4 * 3 = 12 mins

 School + Home = Total Mins

 4 + 12 = 16

More discuss, leave comment below.

Answer:

Step-by-step explanation:

I would say it is B

An inference is something that is not directly stated by logical deduction can be a reasonable conclusion to a conclusion drawn.

Example

There was a  person standing in front of me waiting for a bus. I made it guess that it was a girl because she was wearing pink shoes and had a pink phone in her back pocket.

I know that's a bit sexist, but I could not think of another answer. You should, however, note the evidence.

Answer:

123

Step-by-step explanation:

thats answrr gimme that brainliest

answer is 123

Step-by-step explanation:

-135-(-258)

as we then - x - = +

then -135+258

and we got answer 123

Answer:

73 and - 17

Step-by-step explanation:

Let the number be x and y, ATQ, 6(x+y)=324 and x-y=90, x+y=56 and x-y=90, x=73 and y=-17

Summation exists the addition of a series of any kind of numbers, named addends or summands; the result is their sum or total.

In mathematics, summation exists the addition of a series of any kind of numbers, named addends or summands; the result is their sum or total.

A sum exists as the result of an addition. For example, adding 1, 2, 3, and 4 provides the sum of 10, written. (1) The numbers being summed are named addends, or sometimes summands.

A summation, also named a sum, is the outcome of arithmetically adding numbers or quantities. A summation always includes a whole numeral of terms. There can be as irregular as two terms, or as many as a hundred, a thousand, or a million. Some summations include infinitely many terms.

Let the number be x and y,

ATQ, 6(x+y)=324 and

x-y=90, x+y=56 and

x-y=90,

x=73 and

y=-17

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Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

First add the two values

=⅓+⅑

LCM=9

=⅓x3+⅑

=

[tex] \frac{3}{9} + \frac{1}{9 } = \frac{4}{9} [/tex]