How much heat energy is absorbed when 41.5g of ice melts at STP? (Picture Attached)

How Much Heat Energy Is Absorbed When 41.5g Of Ice Melts At STP? (Picture Attached)

Answers

Answer 1

Answer:

= 13.857 kJ

Explanation:

The heat required to melt ice from its solid state to water or liquid states without change in temperature is given by the formula;

Heat = mLf ; where m is the mass of ice and Lf is the latent heat of fusion,

The mass of ice in moles = 41.5 g/18 g

                                         = 2.306 moles

Therefore;

Heat = 2.306 moles × 6.009 kJ/mol

        = 13.857 kJ


Related Questions

All of the following are examples of synthesizing extept

Answers

Answer:

There are no examples provided here, but synthesis is when two substances combine to form one! This could be shown in an chemical equation.

Explanation:

Answer:

rephrasing and rewriting to create a term paper

Explanation:

74. Which two temperatures are identical for the same substance?
(A) melting point, freezing point
B) melting point, boiling point
C) freezing point, boiling point
D) freezing point, condensation point

Answers

Answer:

(A) melting point, freezing point.

Explanation:

For the same substance: when matter is transitioning from solid to liquid (melting) or liquid to solid (freezing), its temperature is fixed at the melting/freezing point, which is the same temperature.

Answer:melting,freezing

Explanation:

Can anyone help me out please?

Answers

Answer:

Qustion 7:

Answer is → "c. Calcium ions and sulfate ions join together to form an insoluble compound"

Question 8:

Answer is → b. ²³⁹Pa

Question 9:

Answer is → "c. 1/3 the pressure in container B"

Explanation:

=================================================================

Qustion 7:

from the graph:

a. precipitation reactions only occur when solution temperature are decreased.

this option is wrong due to precipitation reaction can occur at room temperature or even at elevated temperature.

b. Sodium ions and chloride ions repel each other when they are in a solution.

Also, this is a wrong statement because sodium ions is positively charged and attract the negatively charged chloride ions.

d. the creation of precipitate adds mass that was previously non-existent.

From graph it is clear that the mass doesn't changed before and after the reaction remain constant (=300.23 g).

So, the right answer is

→ "c. Calcium ions and sulfate ions join together to form an insoluble compound"

=================================================================

Question 8:

According to the equation :

²³⁹U  → ________+ ₋₁⁰euranium(239) loses a beta particle and so the mass numer will not change ( remains 239).

So, the right answer is

b. ²³⁹Pa

=================================================================

Question 9:

We can use the general law of ideal gas: PV = nRT.

where, P is the pressure of the gas in atm.

V is the volume of the gas in L.

n is the no. of moles of the gas in mol.

R is the general gas constant,

T is the temperature of the gas in K.

If n and T are constant, and have two different values of P and V:

Pₐ * Vₐ= P(b) *V(b)

from the graph:

Vₐ= 9.0 L.

V(b)= 3.0 L.

∴ Pₐ = [P(b) * V(b)] / Vₐ = [P(b) * 3.0 L] / 9.0 L = 1/3 P(b).

So, the right choice is:

Answer is → "c. 1/3 the pressure in container B"

=================================================================

A visual illustration used to show mathematical relationships is called a .

Answers

answer:

a visual illustration used to show mathematical relationships is a theory.

Answer:

Its a graph

Explanation:

Matter changes from one state to another when ____________ is added or removed.

Answers

Answer:

Heat

Explanation: When matter is heated enough, the molecules move faster and with greater energy. If enough heat is added, a solid can become liquid and a liquid can become gas. In the same way, molecules slow down when they are cooled.

thermal energy (heat) is added or removed

If you have 3.00 of N2, how many moles of NH3 will be produced?

Answers

Answer:

4.50

Explanation:

3.00+1.50

Why is it so easy for magnesium atom to lose two electrons ?

Answers

Answer:  Atoms want to be like a "noble gas" with a filled outer shell. I think it has to do with being in a stable state. For Mg, it's a lot easier to drop 2 electons to look like Ne rather than gain 6 to look like Argon.  

As the atomic no. of magnesim=12

therefore ,by electric configuration we get

=2,8,2

As the no. of atoms is less than 5 it is easy to lose from gaining as it took some more difficulties!!!

hope its help!!✌✌✌

PLEASE HELP!!!!!!!!Which of the following chemical reactions is best clasified as an acid-base reaction?

a
2HgO→2Hg + O2

b
Na2SO4 + BaCl2 →BaSO4 + 2NaCl

c
Zn + 2AgNO3 →Zn(NO3)2 + 2Ag

d
H2SO4 +2KOH →K2SO4 + 2H2O

Answers

Answer:

d . H₂SO₄ + 2KOH → K₂SO₄ + 2H₂O

Explanation:

The given reactions are:

a . 2HgO → 2Hg + O₂,

It is a decomposition reaction, that HgO is decomposed to give Hg and O.

b . Na₂SO₄ + BaCl₂ → BaSO₄ + 2NaCl,

It is a double replacement reaction where two salts replaces their cations and anions with each others producing 2 new salts.

c . Zn + 2AgNO₃ → Zn(NO₃)₂ + 2Ag,

It is a single replacement reaction, that Zn replaces Ag from its salt.

d . H₂SO₄ + 2KOH → K₂SO₄ + 2H₂O

It is acid-base reaction "neutralization reaction" where H₂SO₄ (acid) reacts with KOH (base) producing K₂SO₄ (salt) and water.

So, the right choice is:

d . H₂SO₄ + 2KOH → K₂SO₄ + 2H₂O

hich statement is true? A. An acid with a large pKa will be a better conductor of electricity than one with a smaller pKa. B. An acid with a large pKa will be less corrosive than one with a smaller pKa. C. An acid with a large Ka will be a poorer conductor of electricity than one with a smaller Ka. D. An acid with a large Ka will be less corrosive than one with a smaller Ka. E. An acid with a large Ka will taste less sour than an acid with a smaller pKa.

Answers

Answer:

[tex]\boxed{\text{B is correct}}[/tex]

Explanation:

Kₐ and pKₐ are measures of the strength of an acid. For example,

HX + H₂O ⇌ H₃O⁺ + X⁻;  Kₐ = 10¹⁰,  pKₐ = -10

HA + H₂O ⇌ H₃O⁺ + A⁻; Kₐ = 10⁻¹⁰, pKₐ =  10

HX is a strong acid, because it has a larger Kₐ, that is, the position of equilibrium lies far to the right.

However, pKₐ is the negative logarithm of Kₐ, so HX has the smaller pKₐ.

Similarly, Ha is a weak acid, but it has the larger pKₐ.

Strong acid: Large Kₐ ⇔ Low pKₐ

Weak acid:   Small Kₐ ⇔ High pKₐ

A is wrong. HA is a weak acid, so it produces only a few hydronium ions.

B is correct. The rate of corrosion depends on the concentration of hydronium ions. HA is a weak acid, so it is less corrosive than an acid with a small pKₐ.

C is wrong. HX is a strong acid, so there are more ions to carry the current. HX will be a good conductor of electricity.

D is wrong. HX is a strong acid, so it provides more hydronium ions and is more corrosive.

E is wrong. HX is a strong acid, so it provides more hydronium ions to stimulate the taste buds.

[tex]\boxed{\textbf{B is correct}}[/tex]

14C → 14N
Describe the type of radioactive emission produced from the decay of carbon-14 to nitrogen-14 and predict its reaction to an electric field.
A) Radioactive gamma decay is produced by the reaction. This neutral electromagnetic radiation are not attracted to the electric field.
B) Beta particles are released during the radioactive decay. These negative particles are attracted to the positive plate in the electric field.
C) During the radioactive decay, alpha particles are released. These positive particles are attracted to the negative plate in the electric field.
D) Both types of radioactive emissions, particles and electromagnetic radiation, are produced during this decay. None of these are attracted to the electric field.

Answers

Answer:

B.).Beta particles are released during the radioactive decay. These negative particles are attracted to the positive plate in the electric field.

Explanation:

The radioactive decay of C-14 yields a N-14 atom via the emission of Beta particles.

The Beta particles are negatively charged and would be attracted towards the positive plate in the electric field because like charges repel but unlike charges attracts one another.

Answer:

C

Explanation:

The answer is C if you're on USA test prep.

What are the concentrations of hydroxide and hydronium ions in a solution with a pH of 8.3?

Answers

Answer:

[H⁺] = 5.012 x 10⁻⁹. & [OH⁻] = 1.995 x 10⁻⁶.

Explanation:

∵ pH = - log[H⁺]

8.3 = - log[H⁺]

∴ log[H⁺] = - 8.3.

∴ [H⁺] = 5.012 x 10⁻⁹.

∵ [H⁺][OH⁻] = 10⁻¹⁴.

∴ [OH⁻] = 10⁻¹⁴/[H⁺] = 10⁻¹⁴/(5.012 x 10⁻⁹) = 1.995 x 10⁻⁶.

Answer:

The correct answer is C.

Explanation:

I just got it correct on the test. I hope this helps!

4. How is photosynthesis a carbon storing process?

Answers

Carbon dioxide (CO2) in the atmosphere is necessary for plants and trees to grow. Forests play a specific and important role in the global carbon cycle by absorbingcarbon dioxide duringphotosynthesis, storing carbonabove- and belowground, and producing oxygen as a by-product of photosynthesis.

Photosynthesis is the process by which plants use sunlight to convert carbon dioxide and water into energy-storing carbohydrates and oxygen. This allows plants to store carbon in the form of glucose for growth and energy reserves, effectively removing carbon dioxide from the atmosphere.

Photosynthesis is a carbon storing process because it converts carbon dioxide from the atmosphere into energy-storing carbohydrates, such as glucose, which plants can then store for later use. The general equation for photosynthesis is:

6CO₂ + 6H₂O + light energy \rightarrow C₆H₁₂O₆ + 6O₂

During this process, solar energy is harnessed through the chloroplasts in the leaves of plants, initiating a series of reactions known as the Calvin cycle. These reactions convert atmospheric carbon dioxide and water in the presence of sunlight into glucose, which plants use to grow and thrive, or store for later energy needs. For example, sweet potatoes store carbohydrates in their roots, while aloe plants store them in their leaves, making these biological reserves an important aspect for both the plants and the ecosystems they support.

Which unit of measurement should be used for the vertical axis?
A. millimeters
B. centimeters
C. kilometers
D. decimeters

Answers

Answer:

b

Explanation:

Which of the following can a cell contain?


1:) A number

2:) A word

3:) A function

4:) All of these


(my first guess was #3, just to be sure)

Answers

Answer: D. All of these

A cell contains of the options listed therefore it is D

Definitely 3 because a cell can contain many functions

How many moles do 10.0 mg of CO represent?

0.28
0.036
0.000357
0.0036

Answers

For this case we have that, according to the periodic table, the atomic mass of the Carbon is [tex]12 \frac {g} {mol}[/tex] and that of the Oxygen is[tex]16 \frac {g} {mol}.[/tex]

By definition, the number of moles is given by:

[tex]n = \frac {M} {MM}[/tex]

Where:

M: It's the mass

MM: It's the molar mass

n: It is the number of moles

10 milligrams equals to 0.01 grams

[tex]n = \frac {0.01} {12 + 16} = \frac {0.01} {28} = 0.000357[/tex]

ANswer:

Option C

Answer:

0.000357 shows how many moles 10.0 of CO represent

Igneous rocks formed below earths surface
A) igneous rocks
B) extrusive
C) intrusive
D) lava

Answers

Answer:

The answer is C. Instrusive

Explanation:

The ingneas rocks are those that form when the magma cools and reaches a solid state. When this type of volcanic rock cooling occurs below the surface of the earth's crust, it is known as intrusive rocks. This type of igneous rock is formed from the magma that has solidified, creating crystals.

Igneous rocks formed below earths surface C) intrusive.

Igneous rocks are classified based on their origin and formation process. They are formed from the solidification of molten material, known as magma or lava. When magma cools and solidifies beneath the Earth's surface, it forms intrusive igneous rocks.

Intrusive igneous rocks are characterized by their formation within the Earth's crust. The magma, which is molten rock, rises to the surface and gets trapped in underground chambers called magma chambers. As the magma cools slowly over time, the minerals within it crystallize and solidify to form intrusive igneous rocks.

The slow cooling process of the magma beneath the Earth's surface allows for the growth of large mineral crystals. The resulting rocks have a coarse-grained texture due to the visible crystals. Examples of intrusive igneous rocks include granite, diorite, and gabbro.

On the other hand, extrusive igneous rocks are formed from lava that erupts onto the Earth's surface and cools quickly. The rapid cooling prevents the growth of large crystals, resulting in a fine-grained or glassy texture. Examples of extrusive igneous rocks include basalt, andesite, and obsidian.

Therefore, the correct answer is C) intrusive, as it refers to igneous rocks formed below the Earth's surface through slow cooling of magma.

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a 49.2 g sample of solid iron was heated from 16.2c to 58.9c.what ws the energy change?solve for q(heat energy).iron has a specific heat value of .4494

Answers

Answer:

944.12 J

Explanation:

To solve for the energy change we use the equation Q=mc(Delta)t

Let's identify the variables we have:

m (mass) = 49.2 g

c (specific heat) = .4494

delta t (change in temp.) = final - initial = 58.9-16.2 = 42.7 degrees Celsius

Q= (49.2)(.4494)(42.7)

  = 944.12 J

Pick the correct answer down below

Answers

The correct answer is A I believe!

the correct answer is d)

average speed is ___.
a) a vector
b) the distance traveled divided by the time to travel that distance
c) measured in m/s
d) the slope of a velocity vs. time graph

Answers

I believe that the correct answer is choice B

How do you determine the number of protons in an element

Answers

Answer:

You determine the number of protons by its atomic number, just like electrons.

I am joyous to assist you anytime.

What is the pOH of 5.92x10 -2

Answers

Answer: 1.23

Explanation: Given that there is no reaction, I will assume that the molarity corresponds to that of a base.

Therefore,

All you have to do is take the negative logarithm of that molarity

Indeed, pOH = -log(5.92x10^-2) = 1.2277 = 1.23

Note:

We could also do this for the pH.

If we were finding the pH, and that we are given the molarity (also known as [OH-]), then, we would also use the negative logarithm (-log (molarity)).

If we wanted to do the opposite, we could find the molarity with the pOH using the inverse logarithm.

10^(-1.2277) = 5.92 x 10^-2

Which best describes the error in data collection

Answers

Answer:

Error (statistical error) describes the difference between a value obtained from a data collection process and the 'true' value for the population. The greater the error, the less representative the data are of the population. Data can be affected by two types of error: sampling error and non-sampling error

Explanation:.

Answer:

The correct answer is the standard deviation of the sample distribution.

Explanation:

The standard error is the standard deviation of the sample distribution of a sample statistic. The term also refers to an estimate of the standard deviation, derived from a particular sample used to compute the estimate. The larger the error, the less representative the population data.  Data can be affected by two types of error: sampling error and non-sampling error.

Have a nice day!

Use the drop-down menus to identify the definition of radiation and the different types of radioactive emissions.
______is the process of emitting radiant energy in the form of waves or particles.
______is two protons and two neutrons bound together into a particle identical to a helium nucleus. is a negatively charged electron emitted by the nucleus.
______is the radioactive decay of an atom that releases a photon, which results from a redistribution of electric charge within a nucleus.

Alpha particle

Beta particle

Gamma ray

Radiation

Help me quickly please! I don't get it! T.T

Answers

Explanation:

Radiation is defined as an electromagnetic energy which travels in space in the form of waves or particles.

An alpha particles is basically a helium nucleus and it contains 2 protons and 2 neutrons.

Symbol of an alpha particle is [tex]^{4}_{2}\alpha[/tex].

A beta particle is a particle with a negatively charged electron. Symbol of a beta particle is [tex]^{0}_{-1}\beta[/tex].

A gamma particle is basically a photon of electromagnetic radiation with a short wavelength.

Symbol of a gamma particle is [tex]^{0}_{0}\gamma[/tex].

Therefore, we can conclude that the definition of radiation and the different types of radioactive emissions are as follows.

Radiation is the process of emitting radiant energy in the form of waves or particles.Alpha particle is two protons and two neutrons bound together into a particle identical to a helium nucleus.Beta particle is a negatively charged electron emitted by the nucleus.Gamma ray is the radioactive decay of an atom that releases a photon, which results from a redistribution of electric charge within a nucleus.

" Radiation is the process of emitting radiant energy in the form of waves or particles. An alpha particle is two protons and two neutrons bound together into a particle identical to a helium nucleus. A beta particle is a negatively charged electron emitted by the nucleus. A gamma ray is the radioactive decay of an atom that releases a photon, which results from a redistribution of electric charge within a nucleus.

Radiation is a broad term that refers to the emission of energy in the form of electromagnetic waves or subatomic particles. This energy is released by atoms that are unstable, known as radioactive atoms. The process of radiation can take several forms, each with its own characteristics:

- Alpha particle: This is a type of radioactive emission that consists of two protons and two neutrons. It is the largest and most energetic of the common emissions, but because of its size, it can be stopped by a few centimeters of air or a piece of paper. Alpha particles are essentially the nucleus of a helium atom, hence why they are identical to a helium nucleus.

- Beta particle: This emission is a high-energy electron that is ejected from the nucleus of an atom during certain types of radioactive decay. Beta particles are more penetrating than alpha particles and can travel through several meters of air or a few millimeters of aluminum.

- Gamma ray: Gamma rays are high-energy photons, which are packets of electromagnetic energy. They are emitted from a nucleus during radioactive decay and are the most penetrating of the common radioactive emissions. Gamma rays can travel through several centimeters of lead or several meters of concrete, making them difficult to shield against.

Each of these types of emissions is a form of ionizing radiation, meaning they have enough energy to remove tightly bound electrons from atoms, creating ions. This can lead to damage in living tissue, which is why radiation can be harmful to biological organisms. The definitions provided in the question help to distinguish between the different types of radioactive emissions and their properties."

Find out Oxidizing and Reducing agent in the following REDBOX REACTIONS.

Answers

Answer:

Fe is the reducing agent while oxygen is the oxidizing agent

Explanation:

In the reaction above Iron loses electrons to form iron ions and this is called oxidation. Therefore, iron is the reducing agent which loses electrons and becomes oxidized to form Iron(iii) ion.On the other hand, Oxygen gains or accepts electrons and therefore, it undergoes reduction. This means oxygen is the reducing agent that accepts electrons and becomes reduced to oxygen ion.


These test tubes contain solutions of various colors, since they have been mixed with broth from red cabbage. The approximate pH values are noted.
How would you best describe the red or pink solutions labeled “2-4”?
How would you best describe the purple to blue solution labeled “7”?
How would you best describe the yellow-green solution labeled “11”?

Answers

Answer:

acidic

neutral

basic

Explanation:

Answer:

The answer and the explanation given below:

Explanation:

The pH is a scale which is used to identify a solution whether it is acidic, basic or neutral. The pH scale ranges from 0 to 14. A pH 7.0 is neutral which is of pure water. The range from 0.0 to 6.9 is acidic due to presence of a high concentration of hydrogen ions (H⁺) in the solution as compared to pure water. The range 7.1 to 14.0 is basic due to presence of a low concentration of hydrogen ions (H⁺) in the solution as compared to pure water.

The red or pink solutions labeled “2-4” will be acidic as per pH scale.    The purple to blue solution labeled “7” will be neutral as per pH scale.  The yellow-green solution labeled “11” will be basic or alkaline as per pH scale.

The initial temperature of a bomb calorimeter is 28.50°C. When a chemist carries out a reaction in this calorimeter, its temperature decreases to 27.45°C. If the calorimeter has a mass of 1.400 kg and a specific heat of 3.52 J/(gi°C), how much heat is absorbed by the reaction? Use . 140 J 418 J 1,470 J 5,170 J

Answers

Answer:

5,170 J.

Explanation:

The amount of heat absorbed by the reaction = the amount of heat released from the calorimeter.the amount of heat released from the calorimeter (Q) can be calculated from the relation:

Q = m.c.ΔT.

where, Q is the amount of heat released from the calorimeter (Q = ??? J),

m is the mass of the calorimeter (m = 1.4 kg = 1400.0 g),

c is the specific heat capacity of the calorimeter (c = 3.52 J/g °C),

ΔT is the temperature difference (final T - initial T) (ΔT = 27.45 - 28.50 = - 1.05°C).

∵ Q = m.c.ΔT.

∴ Q = m.c.ΔT = (1400.0 g)(3.52 J/g °C)(- 1.05°C) = - 5174.0 J ≅ - 5,170 J.

∴  The amount of heat absorbed by the reaction = 5,170 J.

Answer:

When 40.0 mL of 1.00 M H2SO4 is added to 80.0 mL of 1.00 M NaOH at 20.00°C in a coffee cup calorimeter, the temperature of the aqueous solution increases to 29.20°C. If the mass of the solution is 120.0 g and the specific heat of the calorimeter and solution is 4.184 J/g • °C, how much heat is given off in the reaction? (Ignore the mass of the calorimeter in the calculation.)

Use q equals m C subscript p Delta T..

4.62 kJ

10.0 kJ

14.7 kJ

38.5 kJExplanation:

what are the names of the major groups that settled the islands of Oceania south

choose all answers that are correct.

A. South Americans
B. Filipinos
C. Aboriginals and Maori
D. Indonesians​

Answers

Answer:

i think it's B, C and D

Explanation:

You and your sister both have a small camping tent set up in the backyard. You each have two strings of lights to hang inside the tent. You power your lights with a 9-volt battery and your sister uses an extension cord and powers her lights from an electrical outlet on the deck.
What is the BEST conclusion the you can make about this situation?
A
Your lights shine the brightest because your battery produces less power.

B
Your lights shine the brightest because your battery produces more power.

C
Your sister's lights shine the brightest because the electrical outlet has less power.

D
Your sister's lights shine the brightest because the electrical outlet has more power.

Answers

Answer:

D

Your sister's lights shine the brightest because the electrical outlet has more power.

Explanation:

Your sister's lights shine the brightest because the electrical outlet has more power. Thus, option D is correct.

What is power?

Power is the amount of energy transferred or converted per unit of time.

The intensity of lights depends on the power that is provided by the current flowing over it, therefore the intensity would increase if we raise the current.

When current is increased in a light bulb, the light bulb shines brighter and the power increases.

Thus, option D is correct.

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SUBJECT SCIENCE...... photosynthesis changes _(chemical, light, electrical) energy into _ (chemical, potential, kinetic) energy.

Answers

Answer:

light to chemical

Explanation:

What are the 7 sources of energy?

Answers

The answer is Solar, Wind, Geothermal, Hydrogen, Tidal, Wave, Hydroelectric, Biomass Energy.

Final answer:

The seven sources of energy are food, geothermal energy, tidal energy, solar energy, biomass energy, fossil fuels, and nuclear energy.

Explanation:

Sources of Energy

Food: In living organisms, the source of energy is the food they consume.

Geothermal energy: This energy comes from the earth's core.

Tidal energy: Generated by the gravitational pull of the moon and sun.

Solar energy: Produced by the sun's light and is responsible for wind, the water cycle, and photosynthesis.

Biomass energy: Created by plants, algae, and cyanobacteria utilizing solar energy through photosynthesis. Biomass can be burned for biofuels.

Fossil fuels: Formed from ancient biomass over millions of years. Includes coal, oil, and natural gas.

Nuclear energy: Generated through nuclear reactions, such as those in the sun and nuclear power plants.

Other Questions
Type the correct answer in the box. If necessary, use / for the fraction bar. A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is . Which of the following describes research that that would be considered basic science? Use addition to solve the linear system of equations. Include all of your work in your final answer. 3x-y=6 and y=x-4 Amira pulls a 3 pound wagon 4 feet. How much work has she done?3 ft-lbs.4 ft-lbs.7 ft-lbs.12 ft-lbs. consider the inequality-5(x+7) Why is the action of phagocytes considered a nonspecific response? It does not occur at any specific temperature. It is not involved with the production of any specific type of lymphocyte. It does not respond to any specific type of hormone. It is a response to any type of harmful substance. Help me asap!!!!!!! please!!! Help ASAP please!Which policies of James II drew objections from the English people? Select all that apply. 1\ the appointment of Catholic advisors 2\ the dissolution of Parliament 3\ the appointment of Anglican bishops 4\ the marriage of Mary to William of Orange You should plan daily activities for extended staying guests.TrueFalse An X-ray tube emits X-rays with a wavelength of 1.0 X 10^-11 m. Determine the energy, in electron volts, possessed by the incident electrons The velocity acquired by a body moving with uniform acceleration is 12 m/s in 2 s and 18 m/s in 4 s. Find the initial velocity of the body. Plz Help meDescribe the two patterns of metamorphosis that happen in the life cycles of insects. Use an example of a specific insect to describe each pattern. Rena pushes the elevator button but the elevator does not move the mass limit for the elevator is 450 kg But Reena and her load of identical Packages mass A total of 620 KG each package has a mass of 37.4 KG Whats the side of 200cm in a square Elephants are not the most abundant species in African grasslands, yet they influence community structure. The grasslands contain scattered woody plants, but they are kept in check by the uprooting activities of the elephants. Take away the elephants, and the grasslands convert to forests or to shrublands. The newly growing forests support fewer species than the previous grasslands. Why elephants are the keystone species in this scenario? Match the traits to the respective manors Given the function f(x)=6|x-2|+3, for what values of x is f(x)=39? In what year was the womens Christian temperance union formed a recipe that makes 18 cookies calls for 3/4 cups of sugar. How much sugar is needed to make 2 dozen cookies using this recipe? Let a[0 . . . n] be an array of n + 1 natural numbers not exceeding n. let k < n be an integer such that the values of any two successive entries of a differ at most by k, i.e., |a[j] a[j + 1]| k for all j {0, . . . , n 1}. 1. prove that there exist an index j such that |a[j] j| (k + 1)/2. 2. given the number k, find an o(log n) divide and conquer algorithm that finds such an index.