Question: Children in a tree house lift a small dog in a basket 3.95 m up to their house. If it takes 221 J of work to do this, what is the combined mass of the dog and basket?
Express your answer using three significant figures.

Answer: M = ? kg

Answers

Answer 1

The combined mass of the dog and the basket is equal to 5.71 Kg.

What is work?

Work can be described as the energy used when applying a force to move an object through a definite displacement.

The work done by a force to move an object through a displacement can be represented as:

W = F.dcosθ

Where θ is angle between displacement and force.

Given, the height the basket lifted up, d = 1.4 m

The angle between force and displacement, θ = 0°

Thus, the work done when lifting the basket is:

W = F d cosθ

W = mg.d cosθ

W = mg.d cos0°

m = W/gd

m = 221/(9.8).(3.95)

m = 5.71 Kg

Therefore, the mass of the basket and dog is equal to 5.71 Kg.

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Related Questions

5. What process occurs when large swaths of forest are cut down, damaging the landscape in an area?
combustion
deforestation
denitrification
nitrogen-fixation

Answers

Answer:

deforestation

Explanation:

deforestation is clearing Earth's forests on a massive scale, often resulting in damage to the quality of the land. Forests still cover about 30 percent of the world's land area, but swaths the size of Panama are lost each and every year.

If 2.186×10-2 mol of NH3 gas has a volume of 365 mL at 32°C, what would be the volume of 2.186×10-2 mol of N2 gas under identical temperature and pressure conditions?

Answers

The volume of the 2.186×10⁻² mole of N₂ gas under identical temperature and pressure conditions will also be 365 mL

How do I determine the volume of N₂?

We'll begin by obtaining the pressure of NH₃. This can be obtained by using the ideal gas equation as illustrated below:

Mole of NH₃ (n) = 2.186×10⁻² moleVolume (V) = 365 ml = 365 / 1000 = 0.365 L Temperature (T) = 32 °C = 32 + 273 = 305 KGas constant (R) = 0.0821 atm.L/Kmol Pressure (P) = ?

PV = nRT

Divide both sides by V

P = nRT / V

P = (2.186×10⁻² × 0.0821 × 305) / 0.365

P = 1.5 atm

Finally, we shall determine the volume of the N₂ under identical (i.e the same) temperature and pressure conditions. This is illustrated below:

Mole of N₂ (n) = 2.186×10⁻² moleTemperature (T) = 32 °C = 32 + 273 = 305 KPressure (P) = 1.5 atm Gas constant (R) = 0.0821 atm.L/Kmol Volume (V) = ?

PV = nRT

Divide both sides by P

V = nRT / P

V = (2.186×10⁻² × 0.0821 × 305) / 1.5

V = 0.365 L

Multiply by 1000 to express in liters

V = 0.365 × 1000

V = 365 mL

Thus, the volume is 365 mL

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4) Why must the exact same mass of solution (100.0 g) be used in the neutralization reactions?

Answers

Answer:for making the text look colored and bold

Explanation:It can reacting differently with different mass solution, it also depends on what concentration you're measuring, and what reaction

a sample of an unknown gas has a volume of 8.00L at 1.00 atm and 25.0°C. How many moles of gas are present? please explain in full detail so i can learn it

Answers

0.33 mol is the amount of the unknown gas present.

What amount of moles of the gas is present?

The ideal gas law states that "the pressure multiplied by volume is equal to moles multiply by the universal gas constant multiply by temperature.

It is expressed as;

P × V = n × R × T

Where P is pressure, V is volume, n is the amount of substance, T is temperature and R is the ideal gas constant ( 0.08206 Latm/molK ).

Given the data in the question;

Volume of gas V = 8.00lPressure P = 1.00atmTemperature T = 25°C = ( 25 + 273.15 )K = 298.15KAmount of gas n = ?

Plug the given values into the ideal gas law formula and solve for n ( amount of gas in moles ).

P × V = n × R × T

n = ( P × V ) / ( R × T )

n = ( 1.00atm × 8.00L ) / ( 0.08206Latm/molK × 298.15K )

n = 8.00Latm / 24.466189Latm/mol

n = 0.33 mol.

Therefore, the amount of gas is 0.33 mol.

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24. The thumbprint-shaped region on the pressure/enthalpy
chart is called the
A. saturation curve.
B. saturation cycle.
C. superheated curve.
D. superheated region.

Answers

The thumbprint-shaped region on the pressure/enthalpy chart is called saturation curve

An enthalpy chart show the A/C cycle and at what temprature and pressure  the refrigerant changes from gas to liquid and back to gas and the vapor liquid saturation curve of the pure substances is important from both the practical and thermodynamic viewpoint because it provide basic information on the behavior of the fluid as well as on its properties and the loop is the most common type of fingerprint and the ridges form elongated loop and some people have double loop fingerprint

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The reaction shown has first order kinetics:

2H2 O2 (1) —> 2H2 O (1) + O2 (g)

If originally a solution of 0.600 M H2O2, its concentration was found to be 0.0750 M after 54.0 min.

In how many minutes will the concentration be 0.300M?

A) 6.80

B) 18.0

C) 14.0

D) 28.0 E) 54.0

Answers

Option B. 1n 18 minutes the concentration of a solution of 0.600 M changes to 0.300M.

An order of first-order kinetics in which the rate of the reaction relies upon the concentration of only one reactant, and is proportional to the amount of the reactant. it could be represented via the equation, charge = kA, in which ok is the reaction fee steady, and A is the concentration of the reactant.

Calculation:-

T = 2.303/k log a/(a-x)

K = 2.303/T log a/(a-x)

   = 2.303/54 log(0.600/0.0750)

  K = 2.303/54 log 8

       = 2.303/54 × 0.9

        = 0.038

new concentration = 0.300M

  T = 2.303/k log a/(a-x)

       = 2.303/ 0.038  log 0.600/(0.300)

        = 0.693/0.038

        = 18.2 minutes

 or 18 minutes approx.

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hcn is classified as a weak acid in water.this means that it produces

Answers

HCN is classified as a weak acid because it partially ionizes in water to produce hydrogen ions as the only positive ion.

What is an acid?

There are several definitions for acids.

It is a substance that turns blue litmus paper to red when wet.It is any substance whose pH lies between 0 and 7.It is a substance that when ionizes in water, produces hydrogen ions as the only positive ion.

HCN ionizes in water according to the following equation:

[tex]HCN < --- > H^+ + CN^-[/tex]

Because the HCN is only partially ionized and not a complete ionization, it is said to be a weak acid because hydrogen ion is still formed as the only positive ion.

Strong acids produce hydrogen ions as their only positive ions but are completely ionized in water, unlike weak acids.

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Read the chemical equation shown.
3SO2 + 2HNO3 + 2H₂O → 3H₂SO4 + 2NO
Which statement is true about this chemical equation?
OH (hydrogen) was oxidized and S (sulfur) was reduced.
OH (hydrogen) was reduced and N (nitrogen) was oxidized.
OS (sulfur) was oxidized and N (nitrogen) was reduced.
OS (sulfur) was reduced and N (nitrogen) was oxidized.

Answers

The statement "OH (hydrogen) was oxidized and S (sulfur) was reduced" is true about this chemical equation.

This chemical reaction is between Sulfur dioxide and nitric acid along with water. When nitric acid reacts with Sulfur dioxide, it gives sulfuric acid and nitrogen monoxide.

In the reaction, the hydrogen atoms in H₂O are oxidized to form H₂SO₄, and the sulfur atoms in SO₂ are reduced to form H₂SO₄.

Therefore, the OH from the water molecule gets oxidized to give out Sulfuric acid. Likewise, the Sulfur from Sulfur dioxide reduces to form the product that is sulfuric acid.

Therefore, the best option that suits the reaction is OH (hydrogen) was oxidized and S (sulfur) was reduced.

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Answer:

I believe the above answer is correct after my test i will let everyone know.

Explanation:

A sample of gas is placed in a 25.0 L sealed container at STP. The
container is heated to 25 C. What will be the pressure in the container?

Answers

The pressure of a sample of gas placed in a 25.0L container at STP is 0.98atm.

How to calculate pressure?

The pressure of an ideal gas can be calculated by using the following formula:

PV = nRT

Where;

P = pressureV = volume n = number of molesT = temperatureR = gas law constant

According to this question, a sample of gas is placed in a 25.0 L sealed container at STP. The container is heated to 25°C. The pressure in the container is as follows:

P × 25 = 1 × 0.0821 × 298

25P = 24.47

P = 0.98atm

Therefore, 0.98atm is the pressure of the gas

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Which element is used in "yellow" muted lights?
sodium
carbon
nitrogen
aluminum

Answers

Sodium is used in "yellow" muted lights because it produces a yellow-orange light when it is heated.

What is Sodium?
Sodium
is a chemical element with atomic number 11 and the symbol Na (derived from the Latin natrium). It is a delicate, silvery-white metal that is very reactive. Due to its placement in group 1 of the periodic table, sodium is an alkali metal. 23Na is the only stable isotope of it. The free metal must be prepared from compounds because it does not exist in nature. The sixth most common element in the crust of the Earth is sodium, which can be found in a variety of minerals like feldspar, sodalite, and halite (NaCl). Since the action of water has been leaching sodium ions from the minerals of the Earth for aeons, many salts of sodium are highly water-soluble. As a result, sodium and chlorine are the most prevalent dissolved elements by weight in the oceans.

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a beam of electrons,neutrons and protons can be separated by passing them through an electric field.
Which direction does each particle follow?

Answers

Answer:

the protons go in the direction of C, the electrons go in the direction of A and neutrons go the direction of B.

Explanation:

this is because electrons get attracted to positively charged objects and protons get attracted to negatively charged objects and neutrons have no attraction towards any charge.

Which element would be expected to have properties similar to antimony

Answers

Answer:

N, P, As, Bi, Mc

Explanation:

Similar chemical properties are usually found within the same column of the periodic table.

Antimony is Sb, which is in column 15.

Therefore all the elements in column 15, including N, P, As, Bi, Mc, should have similar chemical properties

For Silicon atoms, which I value will show exceptionally large increase over preceding IE values IE1, IE2, IE3, IE4, IE5, IE6

Answers

The ionization energy of the fifth electron IE5 would be exceptionally large.

What is the exceptionally large ionization energy?

We know that the ionization energy is the energy that is required to remove an electron from an atom. This is the energy that must be supplied in order to make the electron to be able to escape the attractive force of the nucleus of the atom.

We know that Silicon has four electrons in the outermost shell. It is known that electrons that are in the same shell would have relatively close values of ionization energy.

The ionization energy values IE1, IE2, IE3, IE4 all belong to the outermost shell hence we would have an  exceptionally large increase over preceding IE values at IE5.

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When 15.6 mL of 0.500 M Silver (1) Nitrate is added to 12.5 mL of 0.300 M
Ammonium chloride, how many grams of solid product (if any) formed?
Select one:
A. 0.537 g
B. 1.65 gx
C. NR
D. 1.11 g

Answers

The grams of solid product is 0.537 g.

Hence, Option A is correct.

The above equation can be solved by

The Symbol Ag used for Silver originates from the Latin word “Argentum

AgNO3 + NH4Cl ? AgCl + NH4NO3

(15.6 mL) x (0.500 M AgNO3) = 7.8 m mol AgNO3

(12.5 mL) x (0.300 M NH4Cl) = 3.75 m mol NH4Cl

7.8 m mol AgNO would react completely with 7.8 x (1/1) = 7.8 mol NH4Cl, but there is not that much NH4Cl present, so NH4Cl is the limiting reactant.

(3.75 m mol NH4Cl) / (1000 m mol/mol) x (1/1) x (143.3214 g AgCl/mol) = 0.537 g AgCl.

Hence,  The grams of solid product is 0.537 g.

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Which functional groups are present in carbohydrates?

alkenes, alkynes, and phenyl groups

ethers, esters, and amides

carboxylic acids and amino groups

aldehydes, ketones, and hydroxyl groups

Answers

The functional groups are present in the carbohydrates is aldehydes , ketone , and hydroxyl groups.

Carbohydrates are the essential for living thing . they provide energy to living things. simple carbohydrates are : monosaccharides , disaccharides, oligosaccharides. Carbohydrates involves in fat metabolism. carbohydrates are also called as starch , simple sugars etc. carbohydrates found in foods . sugar is a source of carbohydrates. there are good carbohydrates which is high in nutrients moderate in calories. the bad carbohydrates are low in nutrients and high in calories.

Thus, The functional groups are present in the carbohydrates is aldehydes , ketone , and hydroxyl groups.

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A known reaction has Change in U= 38 kJ/mol. The reaction is done at constant pressure and you measure the amount
of work done to be w=+2 kJ/mol. What is q in kJ/mol?

Answers

q = 36kJ/ mol amount of heat is produced according to 1st law of Thermodynamics

What is 1st law of Thermodynamics ?

The first law of thermodynamics states that energy is neither created nor destroyed, only its form can be changed. In any system, energy transfer involves exceeding control limits by mass, external work, or heat transfer beyond limits. These cause changes in the stored energy within the control volume.

The first law of thermodynamics states that heat is a form of energy and therefore thermodynamic processes obey the law of conservation of energy. This means that it cannot generate or destroy thermal energy.

ΔU = q + w

38kJ/ mol = q + 2kJ/mol = 36kJ/mol

q = 36kJ/ mol amount of heat is produced according to 1st law of Thermodynamics

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While bowling, Sean stands 19 meters away from the pins and throws his bowling ball down the lane. The ball rolls at a constant velocity of 7.2meterspersecond toward the pins. How far will the ball roll in 2.5seconds?

Answers

Constant velocity means it wont change.
2.5s*7.2 m/s = 18 m

During complete combustion, natural gas combines with oxygen to produce _____.

methane and water vapor

carbon dioxide and water vapor

carbon monoxide and water vapor

carbon dioxide and carbon monoxide

Answers

Answer:

During complete combustion, natural gas combines with oxygen to produce carbon dioxide and water vapor.

Explanation:

A fuel undergoes a complete combustion process when it swiftly combines with oxygen (O2), which then forms carbon dioxide (CO2) and water (H2O).

what has the biologist Rahul Kumar came to India to find

Answers

It is to be noted that Rahul Kumar the biologist came to India to find problems that he can solve using his knowledge in Biology.

Who is Rahul Kumar?

Rahul Kumar, an Indian and the son of a migrant worker from Bihar, graduated with honors from IIT Roorkee and is currently on his way to the United States to pursue his PhD at the University of Utah.

A biologist is a scientist who undertakes biological study. Biologists are interested in researching all forms of life on Earth, whether they be single cells, multicellular organisms, or communities of interacting individuals. They often specialize in a single field of biology and have a specialized research emphasis.

The majority of biologists work full-time at government agencies, private research laboratories, medical testing facilities, higher education institutions, or other research facilities.

Physician's assistants, radiation and nuclear medicine technologists, and registered nurses are among the hospital employment available to those with a bachelor's degree in biology. These positions can also be found in clinics, physicians' offices, nursing homes, rehabilitation institutions, government organizations, the military, and other settings.

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What is the possible chemical formula formed between Hydrogen ion and Nitrate
ion?
H₂NO3
H₂NO3
H3NO2
HNO3

Answers

The correct answer is B. H2NO 3

17. 1s² 2s² 2p 3s² 3p6 4s² 3d¹0 4p65s¹ symbol?

Answers

The element is Rubidium so the symbol is Rb!

Calculate the volume (mL) of a 2.50M NaOH solution are required to make 725 mL of a 0.150M NaOH solution?

Answers

The volume of a 2.50M NaOH solution required to make 725 mL of a 0.150M NaOH solution is 43.5mL.

How to calculate volume of a solution?

The volume of a solution can be calculated using the following expression:

CaVa = CbVb

Where;

Ca = initial concentrationCb = final concentrationVa = initial volumeVb = final volume

Molarity is the concentration of a substance in solution, expressed as the number moles of solute per litre of solution.

According to this question, 2.50M NaOH solution are required to make 725 mL of a 0.150M NaOH solution. The volume required can be calculated as follows:

2.5 × Va = 725 × 0.150

2.5Va = 108.75

Va = 43.5mL

Therefore, 43.5mL is the volume of the solution.

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covert 3.20 bar to atm

Answers

Taking into account the change of units, the 3.20 bar in atm is 3.15815 atm.

Rule of three

The rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

If the relationship between the magnitudes is direct, the direct rule of three must be applied. To solve a direct rule of three, the following expression must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: x= (c×b)÷a

The direct rule of three is the rule applied in this case where there is a change of units.

Conversion of units in this case

You can apply the following rule of three: if 1.01325 bar equals 1 atm, 3.20 bar equals how many atm?

1.01325 bar ⇒ 1 atm

3.20 bar ⇒ x

So: x= (3.20 bar× 1 atm)÷ 1.01325 bar

Solving:

x= 3.15815 atm

In summary, the pressure is 3.15815 atm.

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A single molecule of water contains 1 oxygen atom and 2 hydrogen atoms
- 1 mole of H2O

How many molecules and how many atoms?

Answers

There are 6.022 x 10^23 water molecules present in one mole.

a carbon is found to form two oxide, which contain 42.9% and 27.3%carbon respectively, show that these figure illustrate the law multiple proportional

Answers

The empirical formulas of the two oxides are CO and [tex]CO_2[/tex] respectively. Thus, the figures illustrate the law of multiple proportions.

Law of multiple proportions

The law of multiple proportions states that when two elements form more than one compound, the ratios of the masses of the second element which combine with a fixed mass of the first element will always be ratios of small whole numbers.

Now, let's see if the figures quoted in the problem obey this law:

The first oxide:

C = 42.9

O = 100-42.9

   = 57.1

The equivalent mole of each atom would be:

C = 42.9/12

  = 3.56

O = 57.1/16

   = 3.56

Thus, the empirical formula of the first oxide is CO.

The second oxide:

C = 27.3

O = 100 - 27.3

   = 72.7

The equivalent mole of each atom will be:

C = 27.3/12

  = 2.27

O = 72.7/16

   = 4.54

Dividing the moles by the smallest mole

C = 2.27/2.27

  = 1

O = 4.54/2.27

   = 2

Thus, the empirical formula of the second oxide is [tex]CO_2[/tex].

In other words, the figures quoted obeys the law of multiple proportions.

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true or false
Newton's first law of inertia says that an object at rest will stay at rest and an object in motion will stay in motion unless acted on by a force.

Answers

Newton's first law of inertia says that an object at rest will stay at rest and an object in motion will stay in motion unless acted on by a force; thus the statement is True

What is the law of inertia?

The law of inertia is also known as Newton's first law of motion.

The law of inertia states that a body at rest or that is moving at constant or uniform motion along a straight line will remain in its state of rest or motion or uniform motion along a straight line unless acted upon by an external force.

The law of inertia explains why it s difficult to start an object moving or to stop a moving object.

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The substances sodium (Na), oxygen (O₂), and sodium oxide (Na2O) participate in this chemical reaction:
4Na + O2 → 2Na₂O.
Which statement best describes the reaction?

Answers

Sodium oxide is created by the chemical reaction statement best describes the reaction .

What is chemical reaction ?

Chemical reactions happen absolutely everywhere. While we sometimes associate chemical reactions with the sterile environment of test tubes and laboratories, nothing is farther from the truth. In fact, a vast number of transformations are creating a dizzying and almost incomprehensible series of new matter and energy changes in our world every second of every day.

In nature, chemical reactions are much more uncontrollable and sometimes much more complex than in the laboratory. Chemical reactions usually occur as needed. The fire raging in the forest, the slow rusting process of iron over the years in the presence of oxygen and water, or the delicate ripening of the fruit on the tree, the process of transforming various chemicals... ( The transformation of one group of substances (products) into another group of substances (products) is a so-called chemical reaction.

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Which of the following is an example of an unbalanced force?
A A computer on a table

B A man leaning against a wall

C A girl serving a volleyball

D Fruit in a bowl

Answers

Explanation:

C

as the girl applies a resultant force on the volleyball causing it to accelerate, there's an unbalanced force acting on the ball.

Of the following transitions in the Bohr hydrogen atom, the ________ transition results in the absorption of the highest-energy photon.
Of the following transitions in the Bohr hydrogen atom, the ________ transition results in the absorption of the highest-energy photon.
n = 7 → n = 4
n = 3 → n = 5
n = 3 → n = 2
n = 6 → n = 3

Answers

The highest energy transition in the hydrogen atom among the following is from n=6 to n=3. Hence option d is correct.

What is Bohr model?

Bohr model of atom proposed the modern atomic model based on the interpretations from quantum mechanics. According to this model, electrons are revolving around the atom through circular paths of fixed energy.

The energy of the se levels and the momentum of electrons can be determined using Bohr's equation. Electrons can transit between these energy levels. The Rydberg formula for the transition is written as follows:

[tex]\frac{1}{\lambda} = R [\frac{1}{n_{1}^2} -\frac{1}{n_{2}^2} ][/tex]

Here, R is the Rydberg constant and n1 and n2 be the first and second energy levels.

The transition n=6 to n=3 gives the higher value for this equation. Hence, this transition results highest energy absorption.

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I need to know what’s the answer for the check point question on the picture. please help me.

Answers

In the combustion of methane the are reactants are CH₄(g) and O₂(g). The products are CO₂(g) and H₂O(g) .

Combustion is process in which the substance react with the oxygen to produce heat. In the combustion of , the methane , CH₄ is burnt in the presence of oxygen, O₂ produce carbon dioxide, CO₂ and water H₂O. it is very useful as fuel source. the chemical reaction is given as follows :

CH₄(g)   +     2O₂(g)   ---->   CO₂(g)   +     2H₂O(g) . + heat + light

Thus, In the combustion of methane the are reactants are CH₄(g) and O₂(g). The products are CO₂(g) and H₂O(g).

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a client is experiencing an acute asthmatic attack. the client is noted to have respirations of 40 breaths/min, pulse 132 beats/min, oxygen saturation 86% on room air, and lung sounds with audible wheezing. which findings indicate achievement of the desired outcome of treatment with levalbuterol? Help me please i really dont understand this question a student performing the qual group 1 and 2 unknown analysis did not have any precipitate remaining after step 1-a. what steps should the student omit from the procedure? explain your answer. NEED HELP, ROSA PARKS TIMELINE let k and n be non-negative integers and n be the maximum of the two. what is a k-permutation of n distinct objects? g cousins who are children of a father's brother or a mother's sister are considered which type of cousin? PROJECT DUE TODAYChoose one of the topics below and use all five sentence patterns in a composition of at least 100 words. Return to the lessons "Patterns: Inverted, Compound Parts, S/V/DO" and "Patterns: S/LV/PN, S/LV/PA, S/V/IO/DO" if you need to review the sentence patterns. You will be graded based on whether all five sentence patterns are present in your work.Suggestions for Topics: a. What if the sun exploded? b. What if every family owned a helicopter? c. What if each year were six months long instead of twelve? d. What if you were the President of the United States?Sentence patterns: subject-verb subject-verb-direct object subject--linking verb-predicate noun subject--linking verb-predicate adjective subject-verb-indirect object-direct object Find the values of x and y.Question content area bottomPart 1x41 (Do not include the degree symbol in your answer.)Part 2yenter your response here (Do not include the degree symbol in your answer.) when astronomers have examined rich clusters of galaxies with their instruments, they have found that these clusters As filtrate passes through the descending loop of henle, which substance is reabsorbed in the largest amount?. giving Brainly show work the author develops the example of shared laughter to support his assertion that group of answer choices humans are emotionally connected to each other. humans cannot control their laughing and yawning reflexes. stable relationships depend on sharing happy emotions. chimpanzees and humans are almost identical in their behaviors. Brianna reads the following paragraph from a short story.As Cole watched Feiyan receive her first-place trophy for winning the chess tournament, he couldnt help but beam proudly. He didnt defeat Feiyan this time; she had defeated him in a hard-fought, complicated game. He had trained her well over myriad afternoons in their after-school chess club. And now he looked forward to the challenge that would await him in next years tournament.Which detail in the text supports the theme that happiness can be found in another persons success? an investor put 50% of her money in stock a and 50% in stock b. stock a has a beta of 0.9 and stock b has a beta of 1.3. if the risk-free rate is 1% and the market risk premium is 5%, what is the expected portfolio return? on one of the earth worms that we tested, we used a pulse height higher than the mgf threshold and lower than the lgf threshold. should we observe an action potential from lgf? A rectangular ground is 121/4m long and 41/2 m broad. Find the perimeter and area of the ground. on a particular stretch of highway, the state police know that the average speed is 62 mph with a standard deviation of 5 mph. on a busy holiday weekend, the police are concerned that people travel too fast. so they randomly monitor speeds of a sample of 50 cars and record an average speed of 66 mph. let's assume, for the moment, that people travel at the same speed on holiday weekends as they typically do on other days. calculate the mean and standard deviation of the sampling distribution of sample means for samples of size n Your friend Alex has won a scholarship tostudy abroad. (Congratulations!) Alex hasonly 8 weeks to earn enough money to buy aplane ticket, and he wants to work at anamusement park over the summer to achievethis goal.Tech intershipSchedule- Part Time (20hours/week)Wage-11.50/hourAmusement park attendantSchedule- full time (40hours/week)Wage - 9/hour+ 100 bonus8 weeks to buy airplane ticket $2200Please help with the table Rafael has saved up $650 to buy a new laptop. The laptop he wants is in stores for $749.99 but is on sale for 25% off. After the discount is removed, a tax rate of 5.75% is added on. After Rafael buys the laptop, how much money will he have left over? Remember to round to the nearest hundredth as you go because this is money. the customer table contains a foreign key, rep num, that must match the primary key of the rep table. what type of update(s) to the customer table would violate the foreign key constraint?