El tamaño de cierto cultivo de bacterias se multiplica por 2 cada 30 minutos. Si suponemos que el cultivo tiene inicialmente 256 de bacterias, ¿Cuántas bacterias habrá transcurridas 3 horas? Cree un modelo matemático y exprese su respuesta como una potencia

Answers

Answer 1

Answer:

La población de bacterias después de tres horas es de [tex]2^{14}[/tex] bacterias.

Step-by-step explanation:

En este enunciado observamos un caso de progresión geométrica, en donde la población de bacterias se duplica cada treinta minutos, es decir:

[tex]\frac{p(n\cdot\Delta t)}{p(0)} = 2^{n}[/tex] (1)

Donde:

[tex]\Delta t[/tex] - Intervalo de tiempo requerido para el incremento geométrico de la población, en minutos.

[tex]n[/tex] - Número de períodos para incremento geométrico, sin unidad.

Sabemos que la población inicial de bacterias es 256 y que 3 horas son 6 veces 30 minutos. Entonces, tenemos la siguiente razón:

[tex]\frac{p(6\cdot \Delta t)}{p(0)} = 2^{6}[/tex] (2)

Si sabemos que [tex]p(0) = 256[/tex], entonces [tex]p(6\cdot \Delta t)[/tex] es:

[tex]p(6\cdot \Delta t) = 2^{6}\cdot p(0)[/tex]

[tex]p(6\cdot \Delta t) = 2^{6}\cdot (256)[/tex]

[tex]p(6\cdot \Delta t) = 2^{6}\cdot 2^{8}[/tex]

[tex]p(6\cdot \Delta t) = 2^{14}[/tex]

La población de bacterias después de tres horas es de [tex]2^{14}[/tex] bacterias.


Related Questions

Drag a number into each box to show how to find the quotient 432 = 24 using the model. Numbers may be used once, more than once, or not at all.
1
18
8
0
192
Tens +
24
432
- 240
192
- 192
432 + 24 =

Answers

Answer:

Step-by-step explanation:

Hxhxhx

CAN SOMEONE ANSWER THIS PLEASE I WILL LOVE YOU

Answers

Answer:

I got 24.2 so I hope this helps you

the composition of one or more rigid motions and a dilation is called a​

Answers

The composition of one or more rigid motions and a dilation is called a​ similarity transformation.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

The composition of one or more rigid motions and a dilation is called a​ similarity transformation.

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ2

i will giv brainllents

Answers

Answer:

p=(17/2)(52/68)

Step-by-step explanation:

logic

Answer:

The correct answer is the 3rd option

Hope this helps!

Mark me brainliest if I'm right :)

y= 3 cos(x)+2 I need help solving this

Answers

Answer:

Use the form acos(bx−c)+dacos(bx-c)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.

a=3a=3

b=12b=12

c=0c=0

d=0d=0

Find the amplitude |a||a|.

Amplitude: 33

Find the period of 3cos(x2)3cos(x2).

Tap for more steps...

4π4π

Find the phase shift using the formula cbcb.

Tap for more steps...

Phase Shift: 00

Find the vertical shift dd.

Vertical Shift: 00

List the properties of the trigonometric function.

Amplitude: 33

Period: 4π4π

Phase Shift: 00 (00 to the right)

Vertical Shift: 00

Select a few points to graph.

Tap for more steps...

xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3

The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.

Amplitude: 33

Period: 4π4π

Phase Shift: 00 (00 to the right)

Vertical Shift: 00

xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3


Can someone pleaseeee i know it’s 4 but to show what?

Answers

Answer:

I think you put the number 2

8th grade math please explain

Answers

I believe it might be the second opinion
I think the answer is option 2

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

18n^6-20n^4+10n^3=
2n^3 (9n^3-10n+5)

Hope this helps :)
Greatest Common Factor
= 2n^3

1. You have a 16m by 24m rectangular area in your garden. You want to use it
to construct a swimming pool. The swimming pool will have a surrounding
foot path of 2m. If it costs $3 per square meters to tile the footpath, How
much will it cost to tile the entire footpath?
2m
2m
16 m
24 m

Answers

Answer:

Total cost of footpath = 528 m²

Step-by-step explanation:

Width of footpath is 2m.

Thus,

For longer footpath, there will be two sides. Thus; area = 2(24 + 2 + 2) × 2 = 112 m²

For shorter footpath, since the 2 longer sides have been taken care of, length remains 16m. Then area = 2(16 × 2) = 64 m²

Total area = 112 + 64 = 176 m²

cost to tile foot path is $3 per square metres.

Total cost of footpath = 176 × 3

Total cost of footpath = 528 m²

Brampton is 70 kn due east of Abbott. The bearing of Corwood from Abbott is 015 degrees and from Brampton is 290 degrees. Calculate the distance between Corwood and Brampton to the nearest kilometres

Answers

I THINK YOU NEED OPEN MATH BOOK! ;)

Find the zeros of the function and write in a + bi form.
-(x + 1)2 - 4 = 0

Pls help

Answers

Answer:

answer is A

Step-by-step explanation:

Answer:

I'm really not sure but I think D or A. The answer I got was x = -(1 ± 2i) so distributed it would prob be D

Step-by-step explanation:

rotate the point -104° to within 10°

Answers

Answer:

-114*

Step-by-step explanation:

The slope of the line that contains the points (2, -7) and (-2, 5) is -3. What is the y-intercept?

A. 11
B. 1
C. -1
D. -13


I trys but cant get it can i please get help?

Answers

Answer:

C. -1

Step-by-step explanation:

Find the y intercept by plugging in the slope and a given point into the equation y = mx + b. Then, solve for b:

y = mx + b

-7 = -3(2) + b

-7 = -6 + b

-1 = b

So, the y intercept is -1.

The correct answer is C. -1

HELP PLEASE I WILL DO ANYTHING

Answers

Answer:

1

Step-by-step explanation:

please mark me brainliest

Answer:

4/4 its so eassy look at the triangle its give me answer

A data set has a minimum of 7, a maximum of 22, a mean of 13, a first quartile of 10, and a third quartile of 15. What is its IQR?

Answers

IQR is 5
you have to do third quartile minus the first quartile
15-10 = 5

GUYS CAN WE GET THE PERSON WHO ANSWERS THIS CORRECTLY 1,000 THANKS?
1+1-1+1*1=
A. 3
B. 1
C. 2
D. -1

Answers

Answer:

answer: 2

Heres the answer lol!

Answer: C

Step-by-step explanation:

Help me with these please

Answers

Answer:

1. Sound

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !! I know the first one and only the first one ><

Echoing off a cliff and frequency

Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.

Which equation will represent Jada’s take-home earnings in dollars, E, if she works at the bookstore for h hours in one day.


12.20h + 7.15 = E



12.20h - 7.15 = E

7.15h + 12.20 = E


7.15h - 12.20 = E

Answers

Answer:

B

Step-by-step explanation:

Answer:

E = 12.20(h) - 7.15

h = 6.82 hours

Given:

Pay hour = $12.20 per hour

Bus fare = $7.15

1.Equation:

Assume

She has work for "h" hours

Total earning = E

So,

E = 12.20(h) - 7.15

If,

Total earning = E = $90.45

So,

E = 12.20(h) - 7.15

90.45 = 12.20(h) - 7.15

h = 6.82 hours

x-4 in word form
Please help!

Answers

Answer:

x minus four

Step-by-step explanation:

can i have brainliest plz?

Answer and Step-by-step explanation:

The word form of the expression X - 4 is:

X minus four.

It can also be written as:

Some number minus four. (By user: iwaoiismyotp)

Any number in place of x minus 4.

A value substituted for x minus 4.

#teamtrees #PAW (Plant And Water)

does anyone know how to do this

Answers

X = 9All of the equations are equal since it is an equilateral triangle.So, just pick two equations and solve them.3x - 1 = 2(x + 4)distribute3x - 1 = 2x + 8add 1 to both sides3x = 2x + 9subtract 2x from both sidesx = 9DOUBLE-CHECK (If you want to)4x ÷ 2 + 8 = 3x - 1subtract 8 from both sides4x ÷ 2 = 3x - 9simplify2x = 3x - 9subtract 3x from both sides-x = -9divide both sides by -1x = 9TRIPLE-CHECK (If you want to)4x ÷ 2 + 8 = 2(x + 4)simplify2x + 8 = 2x + 8 (It's already equal)

In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, what is a reasonable estimate for the unoccupied volume of the cube?
a: 120cm3
b: 140cm3
c: 160cm3
d: 180cm3

Answers

Answer:

C

Step-by-step explanation:

Te unoccupied volume (V) of the cube is calculated as

V = volume of cube - volume of sphere

   = 7³ - [tex]\frac{4}{3}[/tex] πr³ ( r is the radius and r = 7 ÷ 2 = 3.5 )

   = 343 - [tex]\frac{4}{3}[/tex] π × 3,5³

   = 343 - [tex]\frac{4}{3}[/tex] π × 42.875

   = 343 - 179.59438

   = 163.4....

    ≈ 160 cm³ ( to the nearest 10 cm³ )

Please help me find the area of the triangles in the picture shown below.

Answers

Answer:

1)6

2)20

3)45

Step-by-step explanation:

a=1/2 bh

1) 4*3=12/2=6

2) 8*5=40/2=20

3)15*6=90/2=45

Answer:

1) 6

2) 20

3) 45

Step-by-step explanation:

To find the area of a triangle, use the formula [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] represents the length of the base, and [tex]h[/tex] represents the height. In the first triangle, the base length is 4 and the height is 3, so the area is 6. In the second triangle, the base length is 5 and the height is 8, so the area is 20. In the third triangle, the base length is 15 and the height is 6, so the area is 45.

Can someone tell me if this is correct or not my grades are bad

Answers

Answer:

Yep, that's correct!

Enter the value that belongs in the
green box.
50
х
11
40°
у
sin 40°
-

Answers

X is in the green box and 11 is in the brown box

Divide. Give the exact answer, written as a decimal.

Answers

Answer:

142.32

Step-by-step explanation:

142.32 is the correct answer!! Thx me later..!

ANSWER ASAP!!!!!!!!!!!!!!

If a party hat has a radius of 3 inches, what is the area of the circular base?

Area of a circle = πr2

A = ( ) Pi inches squared

Answers

Answer:

9pi

Or

28.278

Step-by-step explanation:

If you need the exact answer just type in 3.142x3 Squared then it will give you the exact answer but if not just find the pi button on the calculator and put in pi x 3 squared

Determine the area
of a circle with a radius of 8.

Answers

Answer

A≈201.06


Radius 8

Step-by-step explanation:

Radius of the circle=8

We know that

[tex]\boxed{\sf Area=\pi r^2}[/tex]

[tex] \sf \rightharpoondown \: area = \frac{22}{7} \times {8}^{2} \\ \sf \rightharpoondown \: \frac{22}{7} \times 64 \\ \sf \rightharpoondown \: \frac{22 \times 64}{7} \\ \sf \rightharpoondown \: \frac{1408}{7} \\ \sf \rightharpoondown \: 201.1units {}^{2} [/tex]

[tex]\sf More\:to\:know\begin {cases}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {cases}[/tex]

HELP ASAP!! no links pls…
If a point is randomly picked inside the square, what is the
probability that it will be inside the circle? Round your answer to
the nearest percent.

Answers

Answer:

I would say around 45% chance it is in there while I'm just assuming because the circle is just a little less than half the square

The next model of a sports car will cost 5.9% more than the current model. The current model costs $36,000.

How much will the price increase in dollars?

What will be the price of the next model?​

Answers

Answer:

38124 :: 2124

Step-by-step explanation:

36,000*0.059 = $2124 increase

36,000 + 2124 = $38,124 cost

Answer:

$2124 increase

$38,124 cost

Step-by-step explanation:

Jill has a rectangular table that is 3 1/2 feet long and 1 3/4 feet wide what is the area of jills table?

please help!

Answers

Answer:  Fraction: 49/8 =  6 1/8 <-- (SIMPLIFIED)

Decimal: 6.125 <--- ( i just put this in case they were asking for decimal form lol)

Step-by-step explanation: What I had basically done was I had just multiplied the two fractions together,  ( L x W )  to find the area of Jill's Table.

~ I hope this helped, have a gr8 day/night my friend!~

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