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

However, in day-to-day experience, the strangeness of Einstein's ideas doesn't help us, and Newton's notions do just fine. In everyday Life, when gravity isn't especially intense, Newton's and Einstein's ways of thinking lead to similar results. The two explanations work like different languages that express the same thing.
—A Black Hole Is NOT a Hole, Carolyn Cinami DeCristofano

Why is it important to learn about Newton's view of gravity? *

It is similar to Einstein's theory.
It is important to know other languages.
It works in most daily situations.
It explains how a black hole works.

Answers

Answer:

It works in most daily situations.

Explanation:

:)

Answer:

C. It works in most daily situations.

Explanation:

Edge-nuity 2022

H2CO: → H2O + CO2
Answer the following question about the equation above.
1. How many atoms of Hydrogen are in the reactant?
2. How many atoms of Carbon are in the reactant?
3. How many atoms of Oxygen are in the reactant?
4. How many atoms of Hydrogen are in the product?
5. How many atoms of Oxygen are in the product?
6. How many atoms of Carbon are in the product?
7. Does the number of atoms of each element on the reactant side match that of the product side?

Answers

Answer:

1) 2

2) 1

3)1

4) 2

5)3

6)1

7)yes except Oxygen

If 27.3g of C8H18 is combusted, according to the equation below, what mass of water is produced?

2C8H18 + 25O2 --> 16CO2 + 18 H2O,

molar masses: C8H18 = 114.3 g/mol O2 = 32.0 g/mol CO2 = 44.0 g/mol H2O = 18.0 g/mol

Answers

Answer:

38.7 g

Explanation:

2C₈H₁₈ + 25O₂ → 16CO₂ + 18 H₂O

First we convert 27.3 grams of C₈H₁₈ into moles, using the given molar mass:

27.3 g C₈H₁₈ ÷ 114.3 g/mol = 0.239 mol C₈H₁₈

Then we convert 0.239 moles of C₈H₁₈ into moles of H₂O, using the stoichiometric coefficients of the reaction:

0.239 mol C₈H₁₈ * [tex]\frac{18molH_2O}{2molC_8H_{18}}[/tex] = 2.151 mol H₂O

Finally we convert 2.151 moles of H₂O into grams, using water's molar mass:

2.151 mol H₂O * 18.0 g/mol = 38.7 g

Is Chlorine and Sodium an Ionic or Covalent bond?

Answers

Answer:

It is an Ionic bond

What are the sources of the majority of fats and oils in the typical human diet? a )The fats come from plants; the oils come from animals. B )Both fats and oils come from plants. C) Both fats and oils come from animals. D)The fats come from animals; the oils come from plants.​

Answers

I totally agree its D

How are the environment of a swamp in a rain forest similar

Answers

They both have huge growth of vegetation and are both extremely humid with good amounts of rain

If yeast is given more sugar will they undergo more
cellular respiration than yeast that is given less sugar?

Answers

Answer:

True

Explanation:

Cellular respiration is a metabolic pathway that allows cells to take apart food molecules and use their atoms as an energy source. This pathway takes electrons from food molecules and transfers them to oxygen, has energy transferred to ATP and arranges molecules into water, carbon dioxide and waste.

Why the colloid can't be filitred?Write it's 4 examples.​

Answers

Answer:

Constituent substances of a colloid cannot be separated by ordinary filtration because the size of the particles in a colloid (or colloidal solution) is bigger than those in a true solution but smaller than those in suspension. It is between 1 nm to 100 nm in diameter.

ex- cheese, milk, aerosol spray, mayonnaise

The picture shows a community living in a dry, grassy area. A few organisms have died off due to lack of a water source. ******Is this an example of an abiotic or biotic limiting factor? WHY

Answers

Answer:

brainly blurred the half of the question i cant read it completely

Explanation:

1. A student mixes two liquids together and notices that a white solid has formed
at the bottom of the container.
What can the student conclude?
1. A precipitate has formed.
2. A physical change has occurred.
3. A chemical reaction has occurred.
4. A chemical change has occurred.

Answers

Answer:

3. A chemical reaction has occured

A student mixes two liquids together and notices that a white solid has formed at the bottom of the container which means precipitate has formed.

What is precipitation reaction ?

Precipitation is the process of creating an insoluble compound in chemistry by either reacting two salts or altering the temperature to alter the solubility of the compound. Additionally, the solid that results from a precipitation reaction is referred to as "precipitate."Precipitation can be a sign that a chemical reaction has taken place, but it can also happen if the concentration of a solute is higher than its solubility. The process of small, insoluble particles aggregating together or forming an interface with a surface, such as the container wall or a seed crystal, is known as nucleation, and it occurs before precipitation.Precipitation is the process of transforming a liquid into a solid. A precipitant is a chemical that gives rise to a solid in a liquid solution. The term "precipitate" refers to the resulting solid. In the event that the molecule size of the insoluble compound is tiny or there is deficient gravity to attract the strong to the lower part of the compartment, the hasten might be equitably dispersed all through the fluid, shaping a suspension. Any process that separates the precipitate from the solution's liquid portion, known as the supernatant, is referred to as sedimentation. Centrifugation is a common technique for sedimentation. A "flower" is a powder that forms after the precipitate has been recovered.

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Hello, I need help in this part of chemistry, I need the chemical names of the following four:

1) B and F3

2) Se and I2

3) As2 and Se3


ASAP! Please,,, ​

Answers

1- Biron trifluoride
2- selenide
3- arsenic triselenide

Calculate the molarity of a solution prepared by dissolving 6.87 grams of AgNO3 in enough water to make 2.50 liters of solution.

Answers

Answer:

The molarity of the solution is 0.016 [tex]\frac{moles}{L}[/tex]

Explanation:

Molar concentration is a measure of the concentration of a solute in a solution.

Molarity (M) or Molar Concentration is the number of moles of solute that are dissolved in a certain volume.

Molarity is determined by dividing the moles of the solute by the volume of the solution:

[tex]Molarity=\frac{number of moles of solute}{volume}[/tex]

Molarity is expressed in units [tex]\frac{moles}{liter}[/tex].

Being 169.87 g / mole the molar mass of AgNO₃, then you can apply the following rule of three: if 169.87 grams are contained in 1 mole, 6.87 grams are contained in how many moles?

[tex]amount of moles=\frac{6.87 grams*1 mole}{169.87 grams}[/tex]

amount of moles= 0.04 moles

Then:

number of moles of solute: 0.04 molesvolume: 2.50 L

Replacing:

[tex]Molarity=\frac{0.04 moles}{2.50 L}[/tex]

Solving:

Molarity= 0.016 [tex]\frac{moles}{L}[/tex]

The molarity of the solution is 0.016 [tex]\frac{moles}{L}[/tex]

Look at the diagram below, which shows an atom of an element. How many valence electrons does it have? Based on this, would the atom be reactive or unreactive?

Answers

1. The number of valence electrons the atom have is seven (7).

2. The atom is reactive

1. How do i determine the number of valence electron in the atom?

Valence electron is simply defined as the number of electron(s) present in the outermost shell of an atom.

Considering the diagram given from the question, the number of electrons in the outermost shell is seven (7).

Thus, we can conclude that the valence electron the atom have is seven (7)

How do i know if the atom is reactive or not?

From the diagram given, we determine that the number of valence electrons present is 7. This means that the atom required 1 more electron to complete its octet configuration.

Thus, the atom will be very reactive in order to quickly attain a stable configuration.

Learn more about valence electron:

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IBNEED HELP ASAP
NO BULL I NEED ACTUAL HELP

Answers

Answer:

god says dont use any assault language okay?

Explanation:

Microorganisms have a major role in maintaining soil biodiversity. They recycle nutrients in ecosystems and decompose organic matter in soil. Organic matter contains dead and living plant and animal materials. Microorganisms convert these materials into simpler compounds that maintain soil quality and help with plant growth.

Which solution could best help to restore or increase microorganisms and soil biodiversity?
A.
adding manure or compost to the soil
B.
spraying chemical weed-killers and fertilizers on the soil
C.
removing all ground-covering plants from the soil
D.
adding sewage containing synthetic materials to the soil

Answers

Answer:

A i think

Explanation:

The solution that could best help to restore or increase microorganisms and soil biodiversity is adding manure or compost to the soil.

What are microorganisms?

A microorganism, or microbe, is an organism of microscopic size, which may exist in its single-celled form or as a colony of cells. The possible existence of unseen microbial life was suspected from ancient times, such as in Jain scriptures from sixth century BC India.

Microorganisms are minute organisms that are invisible to the normal eye.” Microorganisms are so small that they can only be seen under a microscope. These include a huge range of organisms such as bacteria, viruses, fungi, algae, protozoa, etc.

Given options are-

A. adding manure or compost to the soil

B. spraying chemical weed-killers and fertilizers on the soil

C. removing all ground-covering plants from the soil

D. adding sewage containing synthetic materials to the soil

Therefore, The solution that could best help to restore or increase microorganisms and soil biodiversity is adding manure or compost to the soil.

Learn more about microorganisms here:

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What do elements and compounds have in common? And how do they differ?

I will mark brainliest for the best answer.

WARNING: DON'T PUT LINKS I WILL REPORT YOU!

Answers

elements and compounds might appear different, yet they share many similarities, like being made up of atoms and having bonds linking their atoms together. Elements and compounds also share the qualities of being both pure and homogeneous substances. Substances can be categorised as either elements or compounds. Both of these are made up of atoms, the only difference is an element is made of one type of atom whereas compounds are made of two or more different types of atoms.



What is the value that is MEASURED in a lab?

Answers

Answer:

To use standard laboratory measurement devices to measure length, volume and mass amounts.

molecular mass meaning in chemistry?

Answers

Answer:

Molecular mass is a number equal to the sum of the atomic masses of the atoms in a molecule.

Explanation:

The molecular mass gives the mass of a molecule relative to that of the 12 C atom, which is taken to have a mass of 12. Hence why Molecular mass is a number equal to the sum of the atomic masses of the atoms in a molecule.

What is a reducing agent?​

Answers

Answer: Its an element or compound that loses (or "donates") an electron to an electron recipient (oxidizing agent) in a redox chemical reaction.

CREDIT: Wikipedia

Answer:A reducing agent typically is in one of its lower possible oxidation states and is known as the electron donor.

Example: Examples of reducing agents include the earth metals, formic acid, oxalic acid, and sulfite compounds.

How do i make observations and calculate data involving metric units?

Answers

Answer:

How to make scientific observations?

Observe something through your senses or record information using scientific tools and instruments and ask questions about your scientific observations (e.g., natural phenomena).

How to calculate data involving metric units?

To convert from one unit to another within the metric system usually means moving a decimal point (e.g., 1000000mm = 100000cm = 10000dm = 1000m = 100dkm = 10hm = 1km).

What would it mean if a forecaster claimed, “There will be east winds of 25 to 30 mph

Answers

Answer:

there will be winds moving from 25miles per hour to 30 miles per hour towards the east

what is the difference between quantative and qualitative analysis​

Answers

Answer:

I guess quantitative data is countable or measurable, relating to numbers; qualitative data is descriptive, relating to words. Quantitative data lends itself to statistical analysis; qualitative data is grouped and categorized according to themes.

Explanation:

Answer:

quantitative - actual numbers as data

Qualitative- uses senses (taste, touch, etc.)

Explanation:


How do the mass number and atomic change as a particle goes through beta decay

Answers

Answer:

The atomic mass number does not change because a beta particle has a much smaller mass than an atom. The atomic number goes up because a neutron has turned into an extra proton, however in beta decay a fast-moving electron is fired out of the nucleolus

Hope this helped!

It never changes within the matter of things

1 MLR3 → 1 MR + 1 LR2

If 23.5 grams of MLR3 react, how many moles of MR are produced?

Answers

2 sorry this isn’t an answer i just need points so i can ask a test question

How many times higher is the concentration of H+ in the Hubbard Brook sample than in unpolluted rainwater?

Answers

Answer:

1. 7 (a neutral solution)

Answer: 10-7= 0.0000001 moles per liter

2. 5.6 (unpolluted rainwater)

Answer: 10-5.6 = 0.0000025 moles per liter

3. 3.7 (first acid rain sample in North America)

Answer: 10-3.7 = 0.00020 moles per liter

The concentration of H+ in the Hubbard Brook sample is 0.00020/0.0000025, which is 80 times higher than the H+ concentration in unpolluted rainwater.

Explanation:

1. Cierta muestra fue diluida así: 1 mL MP se agrega 4mL de agua, luego se extrae 0,5 mL y se lleva a 5 mL y de esta última se obtiene 0,2 y se añade 1,3 de diluyente. Calcule la dilución total.

Answers

Answer:

1/375

Explanation:

Primero se debe calcular el factor de dilución para cada dilución seriada. Para ello, se divide el volumen de muestra entre el volumen final de la solución diluida.

1) 1 mL  en 1 mL + 4 mL = 5 mL

D1 = 1 mL/5 mL = 1/5

2) 0,5 mL en 5 mL

D2 = 0,5 mL/5 mL = 1/10

3) 0,2 mL en 0,2 mL + 1,3 mL = 1,5 mL

D3 = 0,2 mL/1,5 mL = 2/15

La dilución total se calcula como el producto de las diluciones seriadas realizadas:

DT = D1 x D2 x D3 = 1/5 x 1/10 x 2/15 = 1/375

A car accelerates away from the starting line at 3.6 m/s2 and has the mass of 2400 kg. What is the net force acting on the vehicle?



__ Newtons ??

Answers

Answer:

8640 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

net force = 2400 × 3.6

We have the final answer as

8640 N

Hope this helps you

HELPHELPHELPHELPHELPHELPHELP

Answers

Answer:

C

Explanation:

increasing T (knowledge of direct proportion and Inverse proportion)

C . Po ang tamang sagot

What molecular shape is this lewis structure?
A. Trigonal pyramidal
B. Trigonal planar
C. Bent
D. Tetrahedral
E. Linear

Answers

Answer:C

Explanation: I learnet it too but more time ago hope its good

Overflow during a heavy rainstorm from a wastewater treatment plant would result in

A. polluted runoff into nearby ponds.
B. flooding in the local aquifer.
C. weakened housing foundations.
D. over-treated drinking water.

Answers

Answer: a.polluted runoff into nearby ponds

Explanation:

Answer:

Aa

Explanation:

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