The Al2O3 crystal structure (corundum) consists of an HCP arrangement of O2- ions; the Al3 ions occupy octahedral positions. What fraction of the available octahedral positions are filled with Al3 ions

Answers

Answer 1

Answer:

2/3

Explanation:

Crystals structures can also be seen when two elements combines together and the perfect example is Al₂O₃ which is given in the question above. Just like it is given in the question above, the kind of arrangement in the crystal structure for Al₂O₃ is called HCP which stands for Hexagonally Closed Pack.

The aluminum ions which is in form of Al³⁺ occupies the two-third[2/3] positions while the position that the oxygen ion occupies is one[1].


Related Questions

PLEASE HURRY BEING TIMED! During which phase of the moon do meal tides occur?

Answers

Answer:They occur when the Earth, the Sun, and the Moon are in a line. The gravitational forces of the Moon and the Sun both contribute to the tides.Spring tides occur during the full moon and the new moon. During the moon's quarter phases the sun and moon work at right angles, causing the bulges to cancel each other.

Neap tides occur during the first and third quarter moon, when the moon appears "half full." NOAA's tide and tidal current predictions take into account astronomical considerations due to the position of the moon and the sun.

Explanation:

Part A: Write a balanced nuclear equation for the fission reactions below.
1. Californium-252 undergoes spontaneous fission (no neutron collision) to produce xenon-140,
ruthenium-108, and an unknown number of neutrons. Write a balanced nuclear equation that
includes the correct number of neutrons produced. ( this is earth and space btw a form of science)

Answers

The spontaneous fission reaction is:  

₉₈ Cf ²⁵² → ₅₄ Xe ¹⁵⁰+ ₄₄ Ru ¹⁰⁸ +4 ₀n¹

Given,

Californium-252 undergoes spontaneous fission to produce xenon-140, ruthenium-108, and an unknown number of neutrons.

The Nuclear reaction is

₉₈ Cf ²⁵² → ₅₄ Xe ¹⁵⁰+ ₄₄ Ru ¹⁰⁸ +4 ₀n¹

Spontaneous fission reaction always happens in heavier elements, that is the element with atomic numbers more than 89 and mass numbers greater than 230.

The nuclei of these elements are unstable and decay by radioactive decay in different forms like beta decay, positron, etc. At some percentage of the time, they decay by spontaneous fission.

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2. The owner of a necklace claims that it is made of pure gold (density = 19.2 g/cm³).
The necklace has a mass of 19.21 g. When the necklace is placed in a graduated
cylinder that initially contained 20.8 mL of water, the level rose to 22.0mL?
Find the density of necklaces
Is the necklace made of pure gold?explain

Answers

Gold has a density of 19.2 gm/cm.

The necklace weighs 19.21 g.

Water was initially present in 20.8 ml.

22 ml is the total amount of water.

Due to its great density, which results from the fact that each of gold's atoms is individually highly heavy, gold is referred to as a heavy metal.

(a) The necklace's volume is 22 - 20.8 ml.

- The density of a necklace is determined by its mass and volume.

The necklace's density is 19.21 divided by 1.2.

Necklace has a density of 16 gm/ml.

(b) The necklace is constructed of alloy rather than pure gold.

This is due to the necklace's varied density from that of pure gold.

It follows that the necklace contains something else in addition to the gold.

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calculate basicity of H3PO4​

Answers

H₃PO₄ is a Phosphoric acid and its Basicity is 3.

The basicity of a molecule is determined by the number of acidic hydrogen atoms present. The quantity of acidic hydrogen atoms in a substance is what determines its basicity.

To become acidic, a hydrogen atom must establish a very strong electronegative bond with an oxygen or fluorine atom. H₃PO₄ is acidic because the hydrogen atoms are bonded to or united to three oxygen atoms as a result. H₃PO₄ thus has a basicity of 3. Due to the fact that H₃PO₄ has a basicity value of 3, it is a tribasic acid. The ability of a base to replace a number of hydrogen atoms in a certain acid is known as the basicity process. In H₃PO₄, there are three atoms therefore, the basicity is 3.

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If you know that the heat lost by placing a warm piece of metal in cool water is 150 kJ, how much heat is gained by the water?

Answers

The heat lost by the metal will be gained by the water so the water gains 150kJ

Fill in the name and empirical formula of each ionic compound that could be formed from the ions in this table:

Answers

The empirical formula of the given ions and name of their compounds are given below:

Empirical formula : CoPO₄; Name : Cobalt (iii) phosphateEmpirical formula : FeCrO₄ ; Name : Iron (ii) tetraoxochromate (vi)Empirical formula : Cu(OH)₂ ; Name : Copper (ii) hydroxide

What is empirical formula?

Empirical formula is the simplest formula of a compound where the elements in the compounds are shown in their simplest combining ratios.

The empirical formula of some compound are equal to the molecular formula of the compound whereas in some other, compounds, the empirical formulas are multiples of the molecular formula.

The empirical formula of the given ions and name of their compounds are given below:

Cation: Co³⁺; Anion; PO³⁻ ; Empirical formula : CoPO₄; Name : Cobalt (iii) phosphate

Cation: Fe²⁺  Anion; CrO₄²⁻  Empirical formula : FeCrO₄ ; Name : Iron (ii) tetraoxochromate (vi)

Cation: Cu²⁺  Anion; OH⁻  Empirical formula : Cu(OH)₂ ; Name : Copper (ii) hydroxide

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Which element, Oxygen (O) or Fluorine (F), has a smaller atomic radius?

O, because the attraction between protons and valence electrons is weaker.
F, because the attraction between protons and valence electrons is stronger.
F, because the attraction between protons and valence electrons is weaker.
O, because the attraction between protons and valence electrons is stronger.

Answers

Fluorine has a smaller ionic radius than oxygen, because the attraction between protons and valence electrons is stronger; option B

What is ionic radius?

Ionic radius is the radius of an ion of an element given by the distance from the nucleus up to where the nucleus has an influence on the ion's electron cloud.

The ionic radius of ions of elements depends on;

the nuclear charge, electron shielding,the number of electron shells as well as the number of electrons in the outermost shell of of an ion of an element.

The greater the nuclear charge, the smaller the ionic radius.

The greater the electron shielding effect, the greater the ionic radius.

For non-metallic  ions just as in metallic ions, the ionic radius decreases from left to right across the period table as a result of the increase in the nuclear charge of the ions.

Also, the ionic radius of nonmetals increase on going down the same group in the periodic table due to to increase in electron shielding as well as addition of an extra electron shell.

Therefore, the ionic radius of fluorine will be smaller than that of oxygen because of a greater nuclear charge.

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At what temperature would 4.62 g of KCl begin to crystallize in 10 mL of water?

Answers

Answer:

7° it's that cause the crylatise

The temperature at which 4.62 g of KCl begins to crystallize in 10 mL of water is 62° Celsius.

What is temperature?

Temperature is the measurement of the hotness or coldness of the body. It is denoted by Kelvin.

Given, m=4.62 g of KCl, V= 10 ml of water

ro = 1 g/ml for water, so m(water)

V x ro = 10ml x 1(g/ml) = 10 g.

Solubility (for water as solvent) is defined as grams of solute dissolved per 100g of water.

So solubility for this case = m(KCl)/m(water) =

4.62g of KCl/10g of water = 46.2 g of KCl/100 g of water.

According to the graph below, KCl's solubility reached 46.2 g/100 g at a temperature of about 62 degrees Celsius.

KCl/10 g of water or 46.2 g of KCl/100 g of water.

Therefore, cooling the solution is necessary for crystallization. Crystallization will occur in this situation as soon as the temperature falls below 62 degrees Celsius (about).

The ultimate conclusion is that this KCl solution in water will begin to crystallize at 62 degrees Celsius (about).

Therefore, the temperature is 62° Celsius.

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HELP QUICK PLEASE TEST TIMED HUNDRED POINTS Which of the following is NOT one of the basic points of Cell Theory? THE CELL THEORY O All living things are made of cells. The cell is the smallest living thing that can perform all the functions of life. O Cells are too small to see without a microscope. O All cells must come from pre-existing cells. O Other: ​

Answers

Answer:

Cell are too small to see without a micrscope

Explanation:

Cuz I learned in school

The following which is not one of the basic points of Cell Theory is cells are too small to see without a microscope. Hence option c is correct.

What is microscope?

Microscope is defined as a lab tool for inspecting things that are too small to be seen with the eye. The study of small objects and structures under a microscope is known as microscopy. Being microscopic means being difficult to see without a microscope. A specimen that has been placed on a slide is seen, magnified, and imaged using the microscope's optical components.

Cell theory is defined as a cells are believed to be the primary building blocks of all living tissues according to a basic biological scientific hypothesis. The essential unit of structure and function in living things is the cell, according to the current Cell Theory, which is widely recognized. One or more cells make up every living thing. Cellular division creates new cells from existing ones.

Thus, the following which is not one of the basic points of Cell Theory is cells are too small to see without a microscope. Hence option c is correct.

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What are the products formed when an acid reacts with a metal carbonate?

Answers

Answer:

Carbon dioxide gasMetal saltWater

Explanation:

[tex]{ \rm{MCO_{3(s)} + HX _{(aq)} \: \rightarrow \: MX_{(s)} + CO _{2(g)} + H _{2}O _{(l)} }}[/tex]

- MCO_3; Can be any metal carbonate such as Magnesium carbonate, Aluminum carbonate.....

- HX; can be any acid such as sulphuric acid, hydrochloric acid, nitric acid.....

- MX; is a metal acidic salt such as magnesium sulphate from magnesium carbonate and sulphuric acid, Aluminum chloride from Aluminum carbonate and hydrochloric acid.

The rate at which a certain drug is eliminated by the body follows first-order kinetics, with a half life of 78 minutes.
Suppose in a particular patient the concentration of this drug in the bloodstream immediately after injection is 1.1 ug/mL. What will the concentration be 156 minutes later?

Answers

The concentration will be 156 minutes later when the rate at which a certain drug is eliminated by the body follows first-order kinetics, with a half life of 78 minutes is 0.275 ug/mL

Half life: It is known as the time needed to minimize the initial concentration to half. It is denoted by the symbol t1/2

For a first order reaction,

t1/2=0.693/k1

The half-life time for a first order reaction is unaffected by the substrate's starting concentration.

Half life of the given drug is 78 min

Total time is 156 min

Number of half lives corresponding to 156 min is 156/78=2

Therefore, the concentration of drug reduced in 156 min =2^2=4 times

Therefore, the number of half-life is present in the given total time is determined by dividing the total time with half-life of the drug.

The initial concentration is 1.1 ug/mL

Final concentration is 1.1/4=0.275 ug/mL

The concentration of drug after 156 min is 0.275 ug/mL

Half life is the period for which the initial concentration of a substance becomes half of initial concentration.

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A metal (M) forms a compound with the formula MCl2 . The compound contains 57.69% Cl by mass. Identify the metal in the compound? Give the symbol of the metal.

Answers

A metal (M) forms a compound with formula MCl₂. The compound contains 57.69% Cl by mass and the metal is Chromium. Symbol of Chromium metal is Cr.

Given :

57.69 % Cl by mass means that 57.69 grams of chlorine present in 100 grams of compound.

Mass of compound = 100 g

Mass of chlorine = 57.69 g

Mass of metal = 100 - 57.69= 42.31 g

First, we will calculate the moles of chlorine, using formula

Moles = Given mass

              molar mass

Moles = 57.69

              35.45

Moles = 1.627 moles

The given formula of compound is, MCl₂

Therefore, ratio of M : Cl = 1 : 2

We will calculate the moles of metal,

2 moles of Cl combines with 1 mole of metal

1.627 mole of Cl combines with 1.627 = 0.813 mole of metal

                                                        2

calculate the molar mass of metal -

Molar mass of metal =   Given mass  

                                           moles

Molar mass = 42.31  g     = 52.04 g/mol

                       0.813 mol

The molar mass of metal is 52.04 g/mole.

From this, we can conclude that the metal is Chromium (Cr)  

So, the formula will be, CrCl₂

Hence, the identity of the metal is Chromium (Cr)

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which substance can be broken down by a chemical change ?
1) magnesium
2) manganese
3) mercury
4) methanol

Answers

4) Methanol can be broken down by chemical change .

Answer:

Methanol

Explanation:

Methanol is a compound and compounds are pure substances formed by the combination of elements; they can be decomposed by ordinary chemical means. The other answers are incorrect because they are elements and elements consists of only one kind of atom and they cannot be broken down into a simpler type of matter by either physical or chemical means.

In Act III of Romeo and Juliet, what does Friar Lawrence mean when he says, "O, then I see that madmen have no ears."
A. Angry people will not listen to reason.
B. Ears refers to ears of corn. Those who are hungry and without food go crazy.
C. Crazy people tend to cut off their own ears.
D. Romeo is being unreasonable and will not listen to him.

Answers

Answer:

D

Explanation:

most reasonable answer

The correct interpretation of Friar Lawrence's statement in Act III of Romeo and Juliet is: A. Angry people will not listen to reason.

In this scene, Friar Lawrence is expressing his frustration and realization that rational arguments and advice are ineffective when dealing with people who are consumed by anger or driven by their emotions. He sees that Romeo, who is filled with grief and rage after being banished, is not receptive to his reasoning and is acting impulsively.

The line suggests that when people are in a state of madness or extreme emotional turmoil, they become deaf to rational counsel and are unlikely to heed any advice or guidance.

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Jalen's aunt is a meteorologist. She explains to him that, in order to understand the weather, it is important to understand how water moves from the surface of Earth to the atmosphere. If Jalen wants to learn more about the process that moves water in this way, what should he study?

Answers

Answer:

Studies have revealed that evaporation—the process by which water changes from a liquid to a gas—from oceans, seas, and other bodies of water (lakes, rivers, streams) provides nearly 90% of the moisture in our atmosphere. Most of the remaining 10% found in the atmosphere is released by plants through transpiration.

Explanation:

Why do the water molecules change between states?

Answers

Answer: As the water molecules gain energy, they can escape from the attractions of their neighbors and change into a more fluid state.

Explanation: have a wonderul day !

Name the following covalent compounds

Answers

The atoms of covalent compounds are connected by covalent bonds. Sharing one or more pairs of valence electrons results in the formation of a covalent bond.

How to name covalent compound-

1. Give the elemental name of the non-metal that is on the periodic table that is farthest to the left.

2. Give the other non-metal's name and a suffix ending, such as -ide.

3. To denote the quantity of an element in a molecule, use the prefixes mono-, di-, tri-, etc.

4. Mono is understood and not written if it is the initial prefix.

Names of covalent compounds according to the question-

1. CO₂ - Carbon Dioxide

2. CO - Carbon Monoxide

3. N₂O₄ - Dinitrogen tetraoxide

4. PCl₃ - Phosphorus trichloride

5. CBr₄ - Tetra bromomethane

6. P₂O₅ - Phosphorus pentoxide

7. PCl₅ - Phosphorus pentachloride

8. NF₃ - Nitrogen Trifluoride

9. SO₂ - Sulfur dioxide

10. SO₃ - Sulfur trioxide

11. SCl₆ - sulfur hexachloride

12. SiCl₄ - Silicon tetrachloride

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Which is the correct formula for copper(II) phosphate?

Answers

Answer:

Cu3(PO4)2

Explanati

Which sample will have the greatest mass?
Question 3 options:
a)2 mol NO
b) 2 mol NO2
c) 3 mol NO
d) 3 mol NO2

Answers

Answer:

C

Explanation:

C is the right answer for this question.

Put these in order from least amount of inertia to greatest amount of inertia.

A Toy Car
A Bicycle
A jet airplane
A Truck

Answers

i was going to answer this but turns out they already have the answers in the comments. for anyone that’s lazy and doesn’t want to look in the comments the answers are.
1) Toy car
2) Bicycle
3) truck
4) Jet Airplane

Each dot represents an atom. Different colors represent different types of atoms. Match the picture with the correct type of substance it
represents.

column A

1.___ A

2.___ B

3.___C

4.___D

5.___E

6.___F

column B

a. mixture

b. element

c. compound

Answers

mixture compound element mixture compound compound

You measure a rectangular solid and find it to be 9.14 cm long, 3.82 cm wide, and 5.63 cm high. The mass
of the solid is 74.319g. Determine the density of the solid

Answers

The density  of the rectangular  solid is 0.378 g/ [tex]cm^3}[/tex] .

Density of rectangular solid is calculated by ratio of mass by volume of the of rectangular solid .

Density = mass / volume

mass = 74.319 g ( given )

length of the rectangular solid =  9.14 cm

wide of the rectangular solid = 3.82 cm

height of the rectangular solid  = 5.63 cm

volume = length × width × height  =  9.14 cm  × 3.82 cm × 5.63 cm

volume = 196.57 [tex]cm^3}[/tex]

putting the value of mass and volume in equation ( i ) we get ,

Density = mass / volume

Density = 74.319 g / 196.57 [tex]cm^3}[/tex]  = 0.378 g/ [tex]cm^3}[/tex]

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Convert 23.4
kJ to calories
PLEASE SHOW WORK SO I CAN LEARN

Answers

On converting 23.4 kilojoules of energy into calories we get 5.6 calories of energy.

We have energy in kilojoules.

We have to convert it into calories.

What is the relation between 1 kilojoules and 1 calorie ?

In 1 kilojoules there are 0.239 calories.

According to the question -

Energy in kilojoules = 23.4 kJ

In order to find the equivalent energy in calories, multiply 23.4 by 0.239 -

23.4 x 0.239 = 5.6 calories.

Hence, in 23.4 KJ there are 5.6 calories.

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Which statement about electrons is false? * O They are negatively charged O They are insignificant in mass O They are involved in the formation of bonds O They are found in the nucleus of an atom​

Answers

False: found in nucleus of an atom

PLEASEE HELPPPPP

the law of conservation of mass states that mass cannot be created nor destroyed. Explain what this means and provide an example. Use details to support your answer.

Answers

What is meant that mass cannot be created nor destroyed in the law of conservation of mass is that, matter can take part in a chemical reaction, but the initial mass of the matter (reactants) will be equal to the final mass of the matter (products formed).

What is law of conservation of mass?

The law of conservation of mass states that the mass can neither be created nor destroyed but it can be transformed from one form to another.

Examples of law of conservation of mass;

when firewood burns, the mass of the soot, ashes, and gases equals the original mass of the charcoal and the oxygen when it first reacted.

So, in the law of conservation of mass, the sum of the masses of the reactants in a chemical reaction and products formed in the process remains unchanged.

Thus, what is meant that mass cannot be created nor destroyed in the law of conservation of mass is that, matter can take part in a chemical reaction, but the initial mass of the matter (reactants) will be equal to the final mass of the matter (products formed).

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Answer:

The law of conservation of mass states that the mass can neither be created nor destroyed but it can be transformed from one form to another.

Explanation:

If your front lawn is 18.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1450 new snowflakes every
minute, how much snow, in kilograms, accumulates on your lawn per hour? Assume an average snowflake has a mass of
1.60 mg.

Answers

The mass of the snow flakes that accumulates in one hour is 15552 Kg.

What is the mass of the snowflakes?

We know that area is the product of the length and the breadth of the lawn. We have to first obtain the area of the lawn as;

Length = 20.0 feet  

Width =  18.0 feet

Area =  20.0 feet   *  18.0 feet  = 360 square feet

If 1 square feet accumulates 450 new snowflakes every minute

360 square feet accumulates 360 square feet *  450 new snowflakes every minute/ 1 square feet

= 162000 new snowflakes every minute

If 162000 new snowflakes accumulates in one minute

x snow flakes accumulates in 60 minutes

x = 9720000new snowflakes

If 1 snow flake has a mass of 1.60 mg

9720000 new snowflakes has a mass of  9720000 snowflakes *  1.60mg/ 1 snow flake

= 15552000 mg or 15552 Kg

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Convert the height of Mt. Kilimanjaro, at 19,565 ft, to kilometers
given the following equivalence:
1 m = 3.28084 ft

Answers

Do 19565 ft × 3.28084 ft ...than

answer will come in meter than convert it into kilo meter

which of the following gives the best description of the speed

Answers

Answer:

40 km in a hour?

Explanation:

Flawless diamonds and emeralds are colorless. A diamond is composed entirely of carbon, while an
emerald is made of beryl, a mineral with the chemical formula Bez Al2(SiO3) 6.

Which of the following
statements is chemically correct?


OA. Only a diamond is a compound.
OB. Only an emerald is a compound.
O C. Both gemstones are compounds.
OD. Neither gemstone is a compound.

Answers

The beryl species includes such well-known gemstones as aquamarines, emeralds, and morganites.

What is gemstones ?

Gemstones are synthetic mineral crystals that have been cut and polished for use in jewelry or other adornments. It is also referred to as a superb gem, jewel, expensive stone, and semiprecious stone.

But even though they are not minerals, other rocks like lapis lazuli, opal, and obsidian, as well as occasionally biological materials like amber, jet, and pearl, are regularly used to make jewelry and are frequently regarded as gemstones.

Although soft minerals are more uncommon than hard gemstones, some of them are utilized in jewelry because of their brilliance or other aesthetically pleasing physical properties. Another quality that raises the value of diamonds is rarity. Another factor is reputation.

Along with jewelry, the two main categories of luxury art in early antiquity were hardstone sculptures and engraved jewels.

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1.) The severity of a tropical storm is related to the depressed atmospheric pressure at its center. In August 1985, Typhoon Odessa in the Pacific Ocean featured maximum winds of about 90 mi/hr and pressure that was 40.0 mbar lower at the center than normal atmospheric pressure. In contrast, the central pressure of Hurricane Andrew (pictured) was 90.0 mbar lower than its surroundings when it hit south Florida with winds as high as 165 mi/hr.

If a small weather balloon with a volume of 50.0 L at a pressure of 1.00 atmosphere was deployed at the edge of Typhoon Odessa, what was the volume of the balloon when it reached the center?

2.) A balloon is filled to a volume of 12.5L at a temperature of 27.1ºC. If the pressure in the balloon is measured to be 2.20 atm, how many moles of gas are contained inside the balloon?

Answers

The severity of a tropical storm is related to the depressed atmospheric pressure at its center, then the volume of the balloon is 4.164 L.

What is pressure?

Pressure is defined as the force applied perpendicular to the surface of an object per unit area over which the force is distributed.

Volume is defined as the space occupied by the boundary of the object in 3D space.

For ideal gas the equation is P1V1 = P2V2

The pressure of center of Odessa storm is

P(in) = P(atm) - 40mbar = 1.0325 - 40.0 x 10⁻³bar = 0.97325 bar

On applying ideal gas equation

P(in)V(in) = P(out)V(out)

V(in) = P(out)V(out) / P(in)

       = 1.01325 bar x 40.0 L / 0.97325

       = 4.164 L.

Thus, the severity of a tropical storm is related to the depressed atmospheric pressure at its center, then the volume of the balloon is 4.164 L.

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How do we find the "rate of change" water molecules are made of hydrogen atom(s) and oxygen atom(s). (use only one number per blank.) quiozlet Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36 miles but not more than 90 miles. The system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal.3w + 6r 363w + 6r 90A graph shows w on the x-axis, from 0 to 30, and t on the y-axis, from 0 to 24. Two solid lines are shown. The first line has a negative slope and goes through (0, 6) and (12, 0). Everything above and to the right of the line is shaded. The second line has a negative slope and goes through (0, 15) and (30, 0). Everything to the left of the line is shaded.Which combination of hours can Keitaro walk and run in a month to reach his goal?2 hours walking; 12 hours running4 hours walking; 3 hours running9 hours walking; 12 hours running12 hours walking; 10 hours running Find the surface area of a cube with side length og 6 1/2 inches.PLEASE SHOW WORK s is a life insruance policyowner and enters into a written agreement to receive immediate cash in exhage Katie is buying souvenir gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magnets are on sale for 50 cents each and the key chains cost $1 each. She must purchase at least 24 gifts and spend no more than $20. Let represent the number of magnets and represent the number of key chains.Model the scenario with a system of inequalities.Graph the system of inequalities and choose an appropriate solution for the scenario. Use complete sentences to prove why the solution is appropriate. While reading a research article, you note a phrase that predicts that individuals who exercise more will lose weight easier. How would you categorize this statement?. which words from the fall of the house of usher best characterize the antiquity? (5 points) discoloration of ages Define restorative care and what role it would play in helping with Mrs gregs rehabilitation how could the psw assist with this process Of all the strategies for reaching global markets, offers the least amount of commitment, control, risk, and profit potential. X. You deposit money in an account that earns Simple interest at an annual rate of 6%. After 8 years.Ythe account earns $360 in interest. How much money did you deposit in the account? ReadyLinear Functions: Rate of Change and initial value-Quiz-Level HJoaquin's car has a full tank of gas at the start of a trip. The graph shows the amount of gas in thetank, y, as a function of the distance traveled, x.What is the initial value of the function? What is the Relationship between happiness and suffering Identify the rule(s) of algebra illustrated by the statement. (Select all that apply.) 1 (1 + x) = 1 + x What is the image of the point (-1,-4) after a rotation of 90 counterclockwise about the origin BEST ANSWER GETS BRAINILEST AND 45 POINTS Why did the Yongle Emperor commission the treasure fleet? Select the best answer from the choices below.a. He wanted to demonstrate the might of the Ming Dynasty to the worldb. He wanted to learn about other culturesSelected:c. He wanted to trade with other countriesThis answer is incorrect.d. He wanted his admiral to bring him treasure from around the world the inferior medical care that members of socially disadvantaged groups often receive is evidence that still exists in the medical establishment. How do strikes pressure employers to improve worker conditions Mg in chlorophyll, C55H72MgN4O5 (the green pigment in plant cells)Express your answer using five significant figures. Determine the percent, by mass, for Mg a tripod has three legs each of length 5 feet. when the tripod is set up, the angle between any pair of legs is equal to the angle between any other pair, and the top of the tripod is 4 feet from the ground. in setting up the tripod, the lower 1 foot of one leg breaks off. let $h$ be the height in feet of the top of the tripod from the ground when the broken tripod is set up. then $h$ can be written in the form $\frac{m}{\sqrt{n}}$, where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any prime. find $\lfloor m \sqrt{n} \rfloor$. (the notation $\lfloor x \rfloor$ denotes the greatest integer that is less than or equal to $x$.)