Una bacteria se divide en dos cada 6 minutos Si a las 12:15 horas se coloca una bacteria en un recipiente¿ A que hora habrá 128 bacterias en el recipiente?

Answers

Answer 1

Answer:

A las 12:57 horas habrá 128 bacterias en el recipiente.

Step-by-step explanation:

Una función exponencial es aquella en que la variable independiente x aparece en el exponente y tiene de base una constante a. Su expresión es:

f(x)= aˣ

Siendo a un real positivo, a > 0, y diferente de 1.

Cuando 0 < a < 1, entonces la función exponencial es una función decreciente y cuando a > 1, es una función creciente.

Algunos tipos de bacterias se reproducen por "mitosis", dividiéndose la célula en dos cada espacios de tiempo pequeños, como sucede en este caso. Entonces, "a" tendrá un valor de 2, que es la cantidad en la que se divide la bacteria, y "x" será los intervalos de tiempo. Si hay 128 bacterias en el recipiente, la expresión exponencial del crecimiento de la bacteria en x intervalo de tiempo será:

2ˣ= 128

Una manera de resolver la x es aplicando logaritmos. Entonces, aplicando el logaritmo común de ambos lados. (Cuando la base no está escrita, se trata de la base 10):

log (2ˣ) = log (128)

Aplicando la propiedad de la potencia de los logaritmos:

x* log (2)= log (128)

x= log (128) ÷ log (2)

x= 7

Cada intervalo de tiempo tiene 6 minutos, que es el tiempo en que una bacteria se divide en 2. Entonces, el tiempo que se tarda en obtener 128 bacterias se calcula como:

7 intervalo* 6 minutos= 42 minutos

Si a las 12:15 horas se coloca una bacteria en un recipiente, entonces el horario a la que habrá 128 bacterias se calcula como:

12:15 + 42 minutos= 12:57

A las 12:57 horas habrá 128 bacterias en el recipiente.


Related Questions

Suppose you and a friend are playing a game that involves rolling a fair die. You roll the die and count how many times you must roll until you roll a 6. Which conditions for a binomial setting have been met for this scenario? Binary? Independent? Number of trials? Same probability?

Answers

Answer:

Binary-yes

Independent-yes

Number of trials- No

Same probability-yes

Step-by-step explanation:

Answer:

Binary?

✔ Yes

Independent?

✔ Yes

Number of trials?

✔ No

Same probability?

✔ Yes

Step-by-step explanation:

Carlos buys a phone that cost $250. He pays a monthly rate of $75. What is the independent variable of this function ?

Answers

Answer: 250+75x

Step-by-step explanation: 250 is the flat charge on the phone, and he pays 75 dollars as a monthly rate. x represents the amount on months.

7. Emily and John will be hiking for 42 hours. Hikers should drink at least 2.7 cups of water for every 2 hours of hiking. How many cups of water should Emily and John drink?

Answers

Step-by-step explanation:

in 24 hours they will drink 32.7 cups

in 18 hours they will drink 24.3

32.7+24.3=56.7

I think it would be 84.7 cups of water they would be drinking

x^2-2x/x^2-y^2 - 2y-y^2/y^2-x^2

Answers

2−1⋅22−12−2−1⋅22−12

Step-by-step explanation:

Find the gradients for line A and B.

See pic attached

Answers

Gradient is the difference between the y-axis and the x-axis
Gradient = y2-y1/x2-x1
Choose any two point making a triangle
Line B (0,8) (4,0)
This makes a triangle please go look at the graph once again! The the triangle should not have half squares but full!
Line A (5,14)(2,2)
Now plug in the variable
The difference between the Y and X
Line B 0-8/4-0
Line B gradient =-2
Line A 2-14/2-5
Line A gradient = +4

Finalized answer
Line B gradient = -2
Line A gradient = +4

Three interior angles of a quadrilateral have measures of 100degree,120degree, and 80 degree. Find the fourth angle measure.
The fourth angle measure is..

Answers

Answer:

The fourth angle = 60°

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360°.

The fourth angle = 360° - 100° - 120° - 80° = 60°

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Answers

Answer:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.

Step-by-step explanation:

how do you find the circumcenter of a triangle?​

Answers

Answer:

draw the perpendicular bisectors of the sides and extend them. The point at which the perpendicular intersects each other will be the circumcenter of that triangle.

URGENT!!!! BRAINLIEST FOR CORRECT ANSWER!

At the Little Rock Zoo, the cost for one children's ticket is $10 and the cost for one adult's ticket is $13. On Saturday, the zoo had a total of 1,465 people visit the zoo and took in a total of $16,603. How many CHILDREN visited the zoo? (Number Only)​

Answers

Answer:

1663

Step-by-step explanation:

Jamal's car travels an average of 16.7 miles per gallon of gas.
A full tank of gas is 20 gallons. Jamal has driven 292 miles
since he last filled his gas tank. How many more miles can
Jamal expect to travel on this same tank of gas?

Answers

Answer:

42 miles

Step-by-step explanation:

20 x 16.7 = 334 miles on a full tank of gas

he drove 292 miles so 334 - 292 = 42 miles left

Evaluate tan15°=tan(60°_45°)​

Answers

Answer:

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

A laser beam moves along a straight line so that its velocity is given by v(t)=r²-4 feet/sec. What is the total distance, in feet, that the laser beam will have traveled between t=1 and t=3 seconds?

Answers

Answer:

4

Step-by-step explanation:

I used a calculator. I put integral values of 3 and 1 and then entered the equation inside absolute value bars

The total distance traveled by the laser beam in the given time interval is required.

The total distance traveled by the laser in the given time interval is 4 feet.

Equation of motion

The given equation is

[tex]v(t)=t^2-4[/tex]

The given time interval is from t = 1 to t = 3 seconds.

In order to find the distance traveled we need to integrate the equation with respect to time and between the given intervals.

[tex]0=t^2-4\\\Rightarrow t=\pm 2=+2[/tex]

The laser will change the direction at [tex]t=2[/tex]

[tex]\int_1^3 v(t)=\int_1^2t^2-4 dt+\int_2^3t^2-4 dt\\\Rightarrow \int_1^3 v(t)=\dfrac{t^3}{3}-4t|_1^2+\dfrac{t^3}{3}-4t|_2^3\\\Rightarrow \int_1^3 v(t)=\left|\dfrac{2^3}{3}-4\times 2-(\dfrac{1^3}{3}-4)+\dfrac{3^3}{3}\right|-\left|4\times 3-(\dfrac{2^3}{3}-4\times2)\right|\\\Rightarrow \int_1^3 v(t)=\dfrac{5}{3}+\dfrac{7}{3}\\\Rightarrow \int_1^3 v(t)=\dfrac{12}{3}\\\Rightarrow \int_1^3 v(t)=4\ \text{m}[/tex]

Since, here distance is asked the absolute value of each integral is used.

Learn more about equation of motion:

https://brainly.com/question/25951773

5. The length of a rectangular swimming pool is 50 yards, and the width of the pool is 16
yards. What is the approximate length of the diagonal of this pool?
A. 66 yards
B. 2756 yards
C. 52.50 yards
D. 47.37 yards

Answers

The answer is C. I got this by doing a^2 + b^2= c^2. 50^2 + 16^2=c^2, 2500 + 256 = c^2, 2756 = c^2, then you take the square root of 2756 and that gives you your answer 52.50 yards. Hope this helps :D

Simplify: 6^6/6^−3 Leave your answer in exponential form

Answers

Answer:

6⁹

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Exponential Rule [Multiplying]:                                                                        [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]:                                                                             [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{6^6}{6^{-3}}[/tex]

Step 2: Simplify

Exponential Rule [Dividing]:                                                                              [tex]\displaystyle 6^{6 - -3}[/tex]Rewrite:                                                                                                             [tex]\displaystyle 6^{6 + 3}[/tex]Add:                                                                                                                   [tex]\displaystyle 6^{9}[/tex]

Plzz help will mark brainiest!!!!!!

Answer choices for first box : 4, 20, and 34
answer choices for second box: decrease, preserve, and increase

Answers

Answer:

The length of the resulting line is 20 units

and for the second one it would be preserve

Step-by-step explanation:

Hope this helps :)

I NEED HEP ASAP I WILL GIBE BRAINLIEST ANSWER FOR WHOEVER ANSWERES FIRST

Answers

Answer:2

Step-by-step explanation:

The diameter of a circle is 5 centimeters.
What is the circle's circumference? Use a = 3.14
Answer:
centimeters.

Answers

Answer:

half of 5 is 2.5

2.5 x 3.14 x 2 = 15.7 cm

Formula of circumference:

2(you just always need this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use) x r(radius, half of your diameter or given radius).

Answer:

15.7

Step-by-step explanation:

circumference = 2 x 3.14 x r ---? 2 x 3.14 x 2.5 = 15.7

Q1

(b) Factorise
x2 – 36
(1 mark)

Answers

Answer:

(x+6)(x-6)

Step-by-step explanation:

Given: x²-36

Difference of Squares Formula: x²-a²=(x+a)(x-a)

Since 6²=36: x²-6²=(x+6)(x-6)

Find AM⎯⎯⎯⎯⎯⎯ A M ¯ in the parallelogram if PN⎯⎯⎯⎯⎯ = 8 P N ¯ = 8 and AO⎯⎯⎯⎯⎯ = 5 A O ¯ = 5 .

Answers

Step-by-step explanation:

please can you show me a picture of this parallelogram

Sooo... WHy does everyone get so mad over links? Are those not allowed???

Answers

A lot of people don't trust random links from strangers

I NEED HELP WITH THIS

Answers

72 degrees
........................

Answer:

∠HGJ + ∠KJG = 180°

So, ∠KJG = 62°

Simón Plz help me giving brainliest

Answers

Answer:

Although this (attached) would be the correct answer always; A would be the most logical one since only one piece is shaded the opposite color.

Hope this Helps!

:)

Distributive property and Combine like terms

Answers

Answer:

k = 55

Step-by-step explanation:

First clear the fraction by multiplying all three terms by 5.  We get:

k - 10 = 45

Adding 10 to both sides results in

k = 55          (after having combined like terms)

Thank you for the help

Answers

If UVT is 135 degrees then and UVS is 180 degrees TVS is 45 degrees

What’s this help pls

Answers

How to solve your problem

9−4+3

9x−4+3x9x-4+3x9x−4+3x

Simplify

1

Combine like terms

9−4+3

9x−4+3x{\color{#c92786}{9x}}-4+{\color{#c92786}{3x}}9x−4+3x

12−4

12x−4{\color{#c92786}{12x}}-412x−4

Solution

12−4

SO D

Answer:

Answer is 12x - 4

Step-by-step explanation:

The give equation (9x -4 + 2x) has two x variables, we can take them both and add them together since they are both x's. So you would take 9 + 3 and and it to get 12, then plug in the variable x. Which will make your new equation 12x - 4

Kamal makes $12.00 an hour at his job. Last week he earned $390. Write and solve an equation to determine how many hours Kamal worked last week. Enter the correct answers in the boxes.

Answers

about 32 hours last week

chris is a 150 pound 5 foot 10 inch 18 year old male and he requires 2,048 calories per day to maintain his weight when he doesn't exercise. When he plays basketball, he burns 231 additional calories per hour. Assuming he want s to maintain his current weight, how many more calories per day does he require if he plays basketball for four hours instead of two hours?

Answers

231*4= 924
2,048-924= 1,124

He requires 1,124 calories more per day.

Zoe runs a market in the city of Manila. Half of the canned drinks in stock were sold out. Zoe bought 68 more canned drinks to restock her supply. If there is a total of 200 cans now, how many canned drinks were in stock initially?

Answers

Answer:

264 canned drinks

Step-by-step explanation:

Let

canned drinks in stock initially = x

Canned drinks sold out = 1/2 of x

= 1/2x

Canned drinks remaining in stock = x - 1/2x

= 1/2x

New restock = 68 canned drinks

Total drinks in stock presently = Canned drinks remaining in stock + New restock

200 = 1/2x + 68

200 - 68 = 1/2x

132 = 1/2x

x = 132 ÷ 1/2

= 132 × 2/1

x = 264 canned drinks

canned drinks in stock initially = x = 264 canned drinks

Show that cos 30 degree + sin 60 degree / 1+ sin 30 degree + cos 60 degree is equal to cos 30 degree​

Answers

Answer:

cos 30

Step-by-step explanation:

cos 30 + sin 60 / 1+ sin 30 + cos 60

= root3 / 2 + root3/2 / 1 + 1/2 + 1/2

= root 6/2 by 4/2

= root 6/4

= root 3/2

= cos 30

Answer:

cos 30

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the area of the base is 16 m^2
and the height of the pyramid is 25.4 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

v = 135.5 cm³

Step-by-step explanation:

v = 1/3bh = 1/3(16)(25.4) = 135.5 cm³

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