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Dafna1 [17]
3 years ago
15

Marco starts with a population of 10 bacteria that doubles every day for a number of days, d. He writes the expression 10(2d) to

find the number of bacteria after d days. Isabella starts with a population of 1 bacterium that increases 20% every day for a number of days, d. She writes the expression (1 + 0.2)d to find the number of bacteria after d days. Use the drop-down menus to explain what each part of Marco's and Isabella's expressions mean.

Mathematics
2 answers:
LenKa [72]3 years ago
6 0

Answer:

Step-by-step explanation:

riadik2000 [5.3K]3 years ago
3 0

Answer:

Marco- 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent.

Isabella- 1 is the starting population. 1+0.2=1.2 is the rate at which it grows each day.

Step-by-step explanation:

Marco's equation should be 10(2^{d}) since the bacteria double each day. 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent. This will double each day because:

Day 1 is 2^{1}=2

Day 2 is 2^{2}=4

Day 3 is 2^{3}=8

Day 4 is 2^{4}=16

You'll notice the value doubles each day.

Isabella has a different equation because her population increases by a percentage. We use the simple interest formula to calculate the bacteria's daily increase or interest.

1(1+0.2)d

1 is the starting population.

1+0.2=1.2 is the rate at which it grows each day.

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maks197457 [2]

{x}^{2}   + 4x - 12 = 0 \\  {x}^{2}  + 4x + 4 - 4 - 12  = 0\\   {(x + 2)}^{2}  - 16 = 0 \\ x =   -   +  \sqrt{16}  - 2 \\ x =   + \:  or - 4 - 2 \\ x =  - 6 \:  \: x = 2
- subtract the 12 from both sides so that it becomes the last constant term in the quadratic equation which should now equal 0.
- take the 4x
- half the coefficient of 4 (2)
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- add it to the equation (+4)
- subtract it from the equation (-4)
- factorise the square (x+2)^2 expands to (x^2 + 4x + 2) as {a+b}^2={a^2 + ab + ba + b^2}
- now the equation is in turning point form.
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I really hope that this helped :)
7 0
3 years ago
Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line c
Rzqust [24]

Answer:

mGH=80^\circ

Step-by-step explanation:

Circle F and J are congruent.

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Given that: m∠DFE = 80°

DFE is the central angle of the circle F.

The measure of arc GH is equal to the central angle of Circle J.

Since both circles are congruent

mGH=\angle DFE = 80^\circ

The measure of arc GH is 80 degrees.

8 0
3 years ago
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Dalia flies an ultralight plane with a tailwind to a nearby town in 1/3 of an hour. On the return trip, she travels the same dis
pashok25 [27]
Dalia had an average airspeed of ⇒ 42 miles per hour.
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Welll....from the diagram, you can see you have two triangles (one on each side)

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225 ft2 <----- ANSWER

7 0
3 years ago
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Which of the following could be the graph of the line y=3x-2
Basile [38]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y=3x-2

Plot the line

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