A lake has been infected by some type of new algae that is unknown. Every single day the amount of surface area that the algae takes up doubles. Day 1 has a certain amount, day 2 it is 2x that amount. It takes 87 days for the entire lake to be overrun by this new algae. How many days does it take to cover half of the lake? Show your work and explain your thinking. In science we need to be able to justify our answers.




hint: It is not the "obvious" answer.

Answers

Answer 1

Answer:

It takes 86 days take to cover half of the lake

Explanation:

In the day #1, the amount of the algae is X,

In the day #2 is 2X

In the day #3 is 2*2*X = X*2²

...

In the day #n the amount of the algae is X*2^(n-1)

Assuming X = 1m³. In the day 87, the area infected was:

1m³*2^(87-1)

7.74x10²⁵m³ is the total area of the lake

the half of this amount is 3.87x10²⁵m³

The time transcurred is:

3.87x10²⁵m³ = 1m³*2^(n-1)

Multiplying for 5 in each side:

ln (3.87x10²⁵) = ln (2^(n-1))

58.9175 = n-1 * 0.6931

85 = n-1

86 = n

It takes 86 days take to cover half of the lake


Related Questions

you go to the same school as me BAHAHHAHA

Answers

oh my i really hope no one from my school sees my comments

A copper coin with a mass of 6.30 grams changes temperature in the sunshine from 20.0°C to 32.0°C. How much energy is transferred? The specific heat capacity of copper is 0.377 joules/gram degree Celsius. Express your answer to three significant figures.

The amount of energy transferred to the coin is
joules.

Answers

Answer:

q = mC∆T

q = heat = ?

m = mass = 6.30 g

C = specific heat = 0.385 J/g/deg

∆T = change in temperature = 32-20 = 12º

q = ((6.30 g)(0.385 J/g/deg)(12 deg) = 29.1 J (to 3 significant figures)

Explanation:

a=MCAS Z=AESDR the game for a few

seaborgium mass number =

Answers

Explanation:

seaborgium Is a type of corn that is grown in warm countries.

answer is SG

Answer:

269 u

Explanation:

Which type of fuel do you predict might have the
greatest impact on carbon dioxi de levels in the
atmosphere?

Please answer this. If your just gonna give me a fake answer please just don’t

Answers

Answer:

If the choices were coal, petroleum, and natural gas, I would say that petroleum has the greatest impact on the CO₂ levels in the atmosphere. I chose petroleum because of transportation, such as cars, trucks, planes, and more.

Se midió el pH de una muestra del agua de lluvia en la ciudad de México, y se obtuvo un valor de 3.5 Calcula la [H+] en dicha muestra.

Answers

Answer:

[tex][H^+]=3.16x10^{-4}M[/tex]

Explanation:

¡Hola!

En este caso, dado que el pH de una solución se entiende como el potencial de los iones hidrógeno en la misma, es posible recordar la ecuación que se usa para calcularlo:

[tex]pH=-log([H^+])[/tex]

De este modo, al conocer el pH, se resuelve para la concentración de iones hidrógeno como se muestra a continuación:

[tex][H^+]=10^{-pH}[/tex]

Así, reemplazamos el pH para obtener:

[tex][H^+]=10^{-3.5}=3.16x10^{-4}M[/tex]

¡Saludos!

PLSSSSSS ANSWERRRRR???

Answers

Answer:

( j ) should be the correct option because atomic number of fluorine is 9 so, no. of electrons and protons should be same I.e. 9

A truck has a kinetic energy of 1200j and is traveling at 9 m/s what is the truck mass

Answers

Answer:

Mass of truck = 29.62 kg (Approx.)

Explanation:

Given:

Kinetic energy = 1200 J

Speed of truck = 9 m/s

Find:

Mass

Computation:

The kinetic energy of a thing is the force that has attributable to its movement in physics.

Kinetic energy = [1/2][m][v]²

1,200 = [1/2][m][9]²

1,200 = [1/2][m][81]

Mass of truck = 29.62 kg (Approx.)

Theories must be supported by many lines of evidence.

True

or

False​

Answers

the answer to this question is true

Boyle's Law shows an inverse relationship between:

Answers

Answer:

According to Boyle's Law, an inverse relationship exists between pressure and volume. Boyle's Law holds true only if the number of molecules (n) and the temperature (T) are both constant.


If 0=30° then verify that sin20=2sin0.cos0

Answers

Answer:

It is proved that sin20=2sin0.cos0

Explanation:

Given

[tex]0=30[/tex] °

[tex]sin20=2sin0.cos0[/tex]

Substituting the value of "0" on both the sides, we get -

[tex]sin2 (30) =2sin 30 * cos 30\\sin 60 = 2 * sin 30 * cos 30 \\0.866 = 2 * 0.5 * 0.866\\0.866 = 0.866[/tex]

Since LHS = RHS

we can say that [tex]sin20=2sin0.cos0[/tex]

What is the goal of mitosis? Of meiosis?

Answers

The main goal of mitosis is to line up duplicated chromosomes and to split them equally, resulting in two cells with the same number of chromosomes

If the temperature remains constant and pressure is INCREASED on gas, what will happen to the volume?


The volume will increase.
The volume will decrease.
The volume will not change.
The volume will randomly increase and decrease, and keep doing this.

Answers

Answer:

I believe the volume should increase.

Drag and drop each trait to the name it describes.

Kim

Understands gardening

Wendell

Gonzalo

Learn English quickly

Is determined and strong

Can be impatient

Tries new things easily

Helps his family survive

Answers

Answer:

Kim:

Is determined and strong Tries new things easily

Wendell:

Can be impatient Understands gardening

Gonzalo:

Learns English quickly Helps his family survive

Explanation:

did it on Edge.

A researcher is trying to identify whether household substances are basic. Which approach would BEST help the researcher
investigate whether substances are basic?
O A. Mix each substance with a weak base and record the results.
OB. Test each substance with red litmus paper.
O C. Observe each substance and record its color.
OD Test each substance with blue litmus paper.

Answers

Answer:

I think B

Explanation:

Red litmus paper is used more to find bases, blue litmus paper changes better when coming to find acids. So I believe it is B

The best approach best investigate whether substances are basic is to test each substance with red litmus paper.

What is basic compound?

Basic compounds are those which have a pH value in between the range of 7.1 to 14.

Red litmus paper changes its color from red to blue when comes in the contact of basic compounds. So to check the basicity of household substance we should use red litmus paper.

Bases are reacting with only acids means bases shows no reaction with base and if we use weak base then we will not get the desired result as weak bases are partially dissociates only.Color will not gives idea about basicity and acidity.Red litmus paper is used to test the acidity of substance as it turns blue when comes in contact of acids.

Hence test each substance with red litmus paper.

To know more about basic compounds, visit the below link:
https://brainly.com/question/14666717

What is the formula mass of the fictitious compound: AB2?

Answers

For a molecule AB2, 3.5g of A represents one molar fraction, and 8.00g B represents 2 molar fractions (or 4.0+4.0). Therefore, a direct ratio can be given as 3.5:4.0, or 1:1.14. This means a molecule AnBm will give a mass ratio for A:B of n:1.14xm

For a molecule AB, for every 1g of A, you will have 1.14g of B.

For a molecule AB2, for every 1g of A, you will have 2.28g of B.

For a molecule A2B3, for every 1g of A, you will have (1.14x3/2) 1.71g of B.

What are cathode rays

Answers

Answer:

a beam of electrons emitted from the cathode of a high-vacuum tube.

Explanation:

Cathode rays (also known as electron beam or e-beam) are electron waves that can be used in vacuum tubes.

50 POINTS PLEASE ANSWER CORRECTLY
Two balls collide on a pool table. Before the collision, ball 1 is traveling with a speed of 4 m/s, and ball 2 is at rest. After the collision both balls are in motion.
What has happened in this collision?

A. There was no change in ball 2's velocity, therefore momentum was not conserved.

B. Ball 2's velocity decreased, and it gained some of ball 1's momentum.

C. Ball 1's velocity decreased, and it gained momentum.

D. Ball 2's velocity increased, and it gained some of ball 1's momentum.

Answers

Answer:

D

Explanation:

With the collision, obviously Ball 2's velocity increased, while Ball 1 slowed down a little bit due to the impact. This decrease in velocity caused a decrease in Ball 1's Momentum. Satisfying both conditions, option D is right.

Calculate the mass of iron which will be converted into its
oxide (Fe3O4) by the action of 20 grams of steam on it.
3Fe + 4H2O + Fe3O4 + 4H2

Answers

Answer: 46.66 Grams

Explanation:

Credits to jasminealexismacias, Enjoy your CK12

Birds have a high internal body ?

Answers

Answer:

Yes.

Explanation:

Birds don't look much like humans on the outside. As you might expect, their insides are also different, even though their internal organs carry out the same basic functions human organs carry out.

(GIVING BRAINLIEST) Which is NOT an example of a good source of complex carbohydrates?
peas
beans
whole-wheat bread
white bread

Answers

Answer: White bread

Explanation:

i’m assuming the answer is white bread because out of the options, white bread is the unhealthiest

Anyone know how to do this? It’s for Chemisty

Answers

You have to take the top quantity and divide it by the crossponent

How does nuclear fission of Uranium - 234 result in electricity being generated?

Answers

Answer:

See explanation

Explanation:

The use of Uranium - 234 to generate electricity depends on a fission reaction. The uranium nuclide is bombarded by fast moving neutrons leading to a chain reaction. Control rods and moderators are used to keep the nuclear reaction under control.

As the nuclear reaction proceeds, heat is generated and steam is consequently produced. This steam is used to turn a turbine and electricity is thereby generated.


How many liters of HCI at STP are produced from 150.0 g of chlorine gas?

Answers

Answer:

As we know that

At STP

1 mole of any gas occupies 22.4L  

so

15.7L / 22.4L/mole = 0.7moles Cl2  

0.7moles x 6.022x10^23molecules/mole = 4.22x10^23molecules

hope it helps

The atmosphere is primarily made of what gas?
Carbon Dioxide
Nitrogen
Oxygen
Argon​

Answers

Answer:

nitrogen

Explanation:

How many liters of oxygen are there in 5 grams of oxygen at STP?

Answers

Answer:

The volume of 5.0 g CO2 is 2.6 L CO2 at STP.

Explanation:

hope this helps :)

HELP ASAP plz!:) I’ll give brainliest

Answers

Answer:

it is closer to the south pole

Explanation:

All matter has:

volume
mass
density
all of the above

Answers

I think the answer is mass.

What is the molarity of an aqueous solution that contains 78g of C6H12O6 dissolved in 2500 mL of solution?

Answers

Answer:

[tex]\boxed {\boxed {\sf molarity = 0.17 \ M \ C_6H_12O_6}}[/tex]

Explanation:

Molarity is found by dividing the moles of solute by liters of solution.

[tex]molarity = \frac {moles}{liters}[/tex]

We are given grams of a compound and milliliters of solution, so we must make 2 conversions.

1. Gram to Moles

We must use the molar mass. First, use the Periodic Table to find the molar masses of the individual elements.

C: 12.011 g/mol H: 1.008 g/mol O: 15.999 g/mol

Next, look at the formula and note the subscripts. This tells us the number of atoms in 1 molecule. We multiply the molar mass of each element by its subscript.

6(12.011)+12(1.008)+6(15.999)=180.156 g/mol

Use this number as a ratio.

[tex]\frac {180.156 \ g\ C_6H_12 O_6}{ 1 \ mol \ C_6H_12O_6}[/tex]

Multiply by the given number of grams.

[tex]78 \ g \ C_6H_12O_6 *\frac {180.156 \ g\ C_6H_12 O_6}{ 1 \ mol \ C_6H_12O_6}[/tex]

Flip the fraction and divide.

[tex]78 \ g \ C_6H_12O_6 *\frac { 1 \ mol \ C_6H_12O_6}{180.156 \ g\ C_6H_12 O_6}[/tex]

[tex]\frac { 78 \ mol \ C_6H_12O_6}{180.156 }= 0.432958102977 \ mol \ C_6H_12O_6[/tex]

2. Milliliters to Liters

There are 1000 milliliters in 1 liter.

[tex]\frac {1 \ L }{ 1000 \ mL}[/tex]

Multiply by 2500 mL.

[tex]2500 \ mL* \frac {1 \ L }{ 1000 \ mL}[/tex]

[tex]2500 * \frac {1 \ L }{ 1000 }= 2.5 \ L[/tex]

3. Calculate Molarity

Finally, divide the moles by the liters.

[tex]molarity = \frac {0.432958102977 \ mol \ C_6H_12O_6}{ 2.5 \ L}[/tex]

[tex]molarity = 0.173183241191 \ mol \ C_6H_12O_6/L[/tex]

The original measurement has 2 significant figures, so our answer must have the same. That is the hundredth place and the 3 tells us to leave the 7.

[tex]molarity \approx 0.17 \ mol \ C_6H_12O_6 /L[/tex]

1 mole per liter is also equal to 1 M.

[tex]molarity = 0.17 \ M \ C_6H_12O_6[/tex]

A gaseous mixture contains 5.0 moles of nitrogen and 10.0 moles of helium . What is the total pressure if the temperature is 25 degrees C and the volume is 3.0 L? a) 122 atm
B) 56 atm
d) 2.0 atm
C)3.0 atm

Answers

Answer:

A) 122 atm

Explanation:

PV = nRT

Solve for P --> P = nRT/V

n = 10.0 mol + 5.0 mol = 15.0 mol

R = 0.08206 L atm / mol K

T = 25 + 273 = 298 K

V = 3.0

P = (15.0)(0.08206)(298) / (3.0) = 122 atm

AQRS is an isosceles triangle. What is the length of RT

? Round to the nearest hundredth. Enter your answer in the box.

11 cm

a

T 6cm s

Answers

Answer:

Length of RT = 9.22 cm to the nearest hundredth

Explanation:

Considering the image up in the attachment, ΔRST is a right-angled triangle.

The length of two sides of ΔRST is given as 11cm and 6 cm. The length of the third side which is RT can be obtained using Pythagoras ' rule which says that the sum of the squares of two sides of a right-angled triangle is equal to the square of the hypotenuse.

This rule is given as: c² = b² + a² where c is the hypotenuse and a and b are the other two sides of the right-angled triangle.

In ΔRST, the length of the hypotenuse = 11 cm, the length of one of the two sides = 6cm, length of RT = x

Solving for x: (11 cm)² =  (x cm)² + (6 cm)²

(x cm)² = 121 cm² - 36 cm²

(x cm)² = 85 cm²

x cm = √85

x = 9.22 cm to the nearest hundredth

Therefore, length of RT = 9.22 cm to the nearest hundredth

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