Gina was given an irregularly shaped piece of metal and was told that the density of the metal was 10 g/cm3. She measured the mass of the piece to be 210 g. What was the volume of the piece of metal Gina was given?

Answers

Answer 1

Answer:

The volume of the piece of the metal Gina is found to be 21 [tex]cm^{3}[/tex]

Explanation:

Given density of the metal = 10 g/[tex]cm^{3}[/tex]

Given mass of the piece of the metal = 210 g

Assuming volume of piece of metal to be V [tex]cm^{3}[/tex]

The expression for the density is shown below

[tex]\textrm{Density} = \displaystyle \frac{\textrm{Mass of piece of metal}}{\textrm{Volume of piece of metal}}\\10 \textrm{ g/cm}^{3} = \displaystyle \frac{210 \textrm{ g}}{V} \\V = 21 \textrm{cm}^{3}[/tex]

Volume of the piece of metal = 21 [tex]cm^{3}[/tex]


Related Questions

How many iron ions are found in 10.9 molecules

Answers

Answer:

= 6.56 × 10²⁴ ions

Explanation:

We are given;

10.9 moles of Iron (iron doesn't exists as a molecules, so we can't have 10.9 molecules but we can have 10.9 moles)

We are required to determine the number of ions

We need to know that;

1 mole of iron = 6.022 × 10²³ ions

Therefore;

10.9 moles of iron will contain;

= 10.9 moles × 6.022 × 10²³ ions/mol

= 6.56 × 10²⁴ ions

Hence, 10.9 moles of iron contains 6.56 × 10²⁴ ions

Which of the following statements is correct in regards to density?
Temperature is directly proportional to density.
Temperature and pressure do not affect density.
Pressure is directly proportional to density.
Pressure is inversely proportional to density.

Answers

Answer:

Pressure is directly proportional to the density of a substance.

Explanation:

Pressure is a measure of force per unit area. Density is defined as mass per unit volume i.e the ratio of mass of a substance to it's volume.

Thus, it means that an increase in pressure results in an increase in density and vice-versa.

How many moles of ammonium sulfate can be from the reaction of 30.0 mol of NH3 with H2SO4 according to the following equation: 2NH3+H2SO4=(NH4)2 SO4

Answers

Answer:

15 moles of  ammonium sulfate would be formed from 30 moles of ammonia.

Explanation:

Given data:

Number of moles of ammonium sulfate formed = ?

Number of moles of ammonia = 30.0 mol

Solution:

Chemical equation:

2NH₃  +   H₂SO₄  →  (NH₄)₂SO₄

Now we will compare the moles of ammonium sulfate with ammonia.

                           NH₃           :           (NH₄)₂SO₄

                             2              :               1

                            30.0          :              1/2×30.0 = 15.0 mol

So 15 moles of  ammonium sulfate would be formed from 30 moles of ammonia.

Select the correct answer.
The presence of which phenomenon proved the predictability of the big bang theory?
O A.
death of large, ancient stars
B.
cosmic microwave background (CMB)
O c. formation of the Orion nebula
D. formation of new stars
Racet
N
.

Answers

Answer: your answers are between d or b

Explanation:

Final answer:

The Cosmic Microwave Background (CMB), a remnant heat from the Big Bang, supports the theory's predictability. Its discovery provided strong evidence for the beginning of the universe as theorized in the Big Bang Theory.

Explanation:

The predictability of the Big Bang Theory was proven by the presence of the Cosmic Microwave Background (CMB). The CMB refers to the thermal radiation that is presumed to be leftover from the 'Big Bang' – the explosion that marked the beginning of the universe approximately 13.8 billion years ago. This residual heat was predicted by the Big Bang Theory, and its eventual discovery provided strong evidence supporting the theory. Thus, it is the CMB that validated the predictability of the Big Bang Theory more than the other phenomena listed in your options.

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Chemical reactions occur at the same rate no matter what the size of the reactant particles.

True or false?​

Answers

Answer:

false

Explanation:

it can be differ when the concentration,surface area and when the rate of reaction is changed

Final answer:

The statement is false. Reaction rates are affected by the size of the reactant particles because smaller particles have a greater surface area, which increases the number of collisions and the rate of reaction.

Explanation:

The statement that chemical reactions occur at the same rate no matter what the size of the reactant particles is false.

The rate of a chemical reaction is influenced by various factors. One of these factors is the state of subdivision of the reactants, which pertains to the size of the reactant particles. A reaction between two reactants, for example, will often occur at a faster rate if one reactant is in the form of many small particles rather than one large lump. This is because many small particles have a greater surface area, leading to more collisions, which increases the reaction rate.

Other factors affecting the rate include the chemical nature of the reacting substances, temperature, concentration of the reactants, and the presence of a catalyst. Each of these can have a significant impact on how quickly a reaction proceeds.

What is the molarity of 6 moles (mol) of NaCl dissolved in 2 L of water?

Answers

Answer: M = 3 M

Explanation: Molarity is the ratio between the number of moles per unit Liter of volume.

M = n / L

= 6 mole / 2 L

= 3 M

6mol/2L of water





Explanation:

5. What happens to the mass when you change
the volume?
It decreases

Answers

Explanation:If the mass of the object stays the same but the volume of the object decreases then its density becomes greater. If the volume of the object stays the same but the mass of the object increases then its density becomes greater.

what volume will 1.27 moles of helium gas occupy at stp

Answers

Answer:

28.45L

Explanation:

1mole of a gas occupy 22.4L at stp. This implies that 1mole of He also occupy 22.4L at stp.

Now if 1mole of He occupied 22.4L at stp, then, 1.27mol will occupy = 1.27x22.4 = 28.45L

Answer:

28.45L

Explanation:

COMPLETE
How many grams of CaCl2 are in 250 mL of 2.0 M CaCl2?

Answers

Answer:

There are 55, 49 g of CaCl2

Explanation:

We calculate the weight of 1 mol of CaCl2:

Weight CaCl2=Weight Ca + 2x(Weight Cl)= 40,08g+ 2x 35, 45g=110,98 g/mol

1000ml-----2 mol of CaCl2

250ml------x= (250 ml x 2 mol of CaCl2)/1000ml= 0,5 mol of CaCl2

1mol -----110,98g

0,5mol ---x= (0,5molx110,98g)/1 mol= 55,49 g

Write the formula for the following covalent compounds

Answers

1.) Carbon Dioxide.

2.) Sulfur Trioxide.

3.) Dinitrogen trioxide.

4.) Dinitrogen pentoxide.

5.) Phosphorus trichloride.

6.) Ammonia.

7.) Sulfur Hexachloride.

8.) Phosphorus Pentoxide.

9.) Carbon Tetrachloride.

10.) Silicon Dioxide.

11.) Carbon Disulfide.

12.) Phosphorus tribromide.

13.) I don't have notes on this one so I don't know.

14.) Aluminum Oxide.

15.) Dichloride Heptoxide. (Not 100% sure if that was a 2 or a 7 at the end.)

Hope this helps and sorry it took so long I had to search through my chemistry notes from awhile ago. But I tried as best I could. :)

Final answer:

Covalent compounds' formulas are represented with symbols for each element involved and subscript numbers indicating the quantity of each element. Lewis structures can be used to visualize the bonds formed by shared electrons. Hydrate ionic compounds have additional notation for water molecules in their formulas.

Explanation:

The formula for covalent compounds is written using the symbols for each element involved, followed by subscript numbers to indicate the quantity of each element in the compound. For example, the compound composed of sulfur (S) and fluorine (F) is represented as SF₆, which shows that one sulfur atom is bonded with six fluorine atoms to form a molecule of this compound. Another example is N₂O₃, representing that two nitrogen (N) atoms and three oxygen (O) atoms are bonded together. Similarly, Cl₂O₇ indicates that two chlorine atoms bond with seven oxygen atoms to form this compound.

By using the Lewis structure, we can visualize how the atoms share electrons in order to form covalent bonds. When these molecules are formed, each atom shares its electrons with the others to create a stable connection, or bond, between them. The quantity of shared electrons is determined by the valence of each atom.

In terms of hydrate ionic compounds, the formula is written by adding a dot and the number of water molecules to the formula. For instance, if a compound includes water molecules, it will include a term such as '·2H₂O' included in the formula.

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Column A
Column B
1.
a. pH paper
b. Litmus paper
3.
only tells
you acid
or base
can tell
you the
pH
number
turns red
or blue
only
can turn
a variety
of colors
that
represent
different
pH
numbers

Answers

Answer:

a. pH paper can tell you the pH. pH paper only can turn a variety of colors that represent different pH numbers.

B. Litmus paper only tells you acid or base in order to turns red or blue color.

Explanation:

pH paper is a type of paper which is used for the identification of pH of the substance. On pH paper, colors are present which shows pH numbers of a solution while litmus paper is a type of paper which is used for the identification of solution whether it is acidic or basic. There are two colors i. e. Red and Blue. If the litmus paper turns red, the solution is acidic or if the litmus paper turns blue, the solution is alkaline or basic.

What is required in order to determine whether or not an object moves?
a reference point
distance
Odisplacement
standard units
Mark this and return
Save and Exit
Save and Exit
Next
Next
Subenit

Answers

A reference point is required to determine if an object has moved or not

The correct answer is a reference point.

To determine whether or not an object moves, one must have a reference point. A reference point is a fixed point that is used to determine if an object has changed its position. Without a reference point, it is impossible to ascertain whether an object is moving or at rest because motion is relative. An object may appear to be moving when observed from one reference point, but it could be stationary when observed from a different reference point.

Distance alone does not indicate motion; it only specifies the amount of space between two points. Displacement is the change in position of an object, which requires a reference point to be measured. Standard units are necessary for quantifying distance or displacement but do not themselves indicate motion.

In summary, while distance, displacement, and standard units are important for describing the motion of an object, a reference point is the fundamental requirement to determine whether an object is moving.

Question 4 (1 point)
In an endothermic reaction products are
than reactants
in potential energy and ___stable
higher more

Answers

In an endothermic reaction products are HIGHER than reactants in potential energy and LESS stable.

Explanation:

Energy is input into the reaction in an endothermic reaction. This means the products are of a higher energy level than the reactants. Therefore the reaction increases Gibb's free energy and reduces entropy. Remember in thermodynamic stability involves an increase in entropy and a decrease in Gibbs free energy. Therefore the products are less stable than the reactants. This is why endothermic reactions do not occur spontaneously like exothermic reactions.

1. Which sample contains a total of 9.0 * 10 ^ 23 atoms ? A) 0.50 mole of HCI B) 0.75 mole of H 2 O C) 1.5 moles of Cu D) 1.5 moles of H 2

Answers

c. 1.5 moles of Cu will contain a total of 9.0 * 10 ^ 23 atoms.

Explanation:

To convert moles into atoms,  the molar amount and number of atom is multiplied by Avagadro's number.

Avagadro's number is 6.022×[tex]10^{23}[/tex]  

So applying the formula in the given sample:

A) 0.5×6.022×[tex]10^{23}[/tex]

   3.01×[tex]10^{23}[/tex] atoms.

B) 0.75 mole of H20

O.75×6.022×[tex]10^{23}[/tex]

= 4.5166×[tex]10^{23}[/tex]  atoms.

C) 1.5 moles of Cu

  1.5×6.022×[tex]10^{23}[/tex]

  =  9.033×[tex]10^{23}[/tex]

D). 1.5 moles of H2

1.5 × 2 × 6.022 × [tex]10^{23}[/tex]

= 18.066 × [tex]10^{23}[/tex] atoms   because H2 is 2 moles of hydrogen.

Atom is the smallest entity of matter having property of the element to which it is a part.

The sample that contains 9.0 x [tex]10^2^3[/tex] atoms would be 1.5 moles of Cu.

1 mole of a substance contains 6.0 x  [tex]10^2^3[/tex] atoms of the same substance. Thus:

0.50 mole of HCl would contain: 0.5 x  6.0 x  [tex]10^2^3[/tex] = 3.0 x  [tex]10^2^3[/tex] atoms.0.75 mole of H2O would contain: 0.75 x  6.0 x  [tex]10^2^3[/tex] = 4.5 x  [tex]10^2^3[/tex] atoms.1.5 moles of Cu contain: 1.5 x  6.0 x  [tex]10^2^3[/tex] = 9.0 x  [tex]10^2^3[/tex] atoms1.5 moles of H2 contain: 1.5 x 2 x  6.0 x  [tex]10^2^3[/tex] = 18.0 x  [tex]10^2^3[/tex] atoms

Hence, the only sample that contains  9.0 x  [tex]10^2^3[/tex] atoms is 1.5 mole of Cu.

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If I have 2.9 L of gas at a pressure of 5.0 atm and a temperature of 50.0 °C, what will be the
temperature of the gas if I decrease the volume of the gas to 2.4 L and decrease the
pressure to 3.0 atm?

Answers

Answer:

160.4K

Explanation:

Given parameters:

Initial volume of gas = 2.9L

Initial pressure of gas = 5atm

Initial temperature = 50°C

Final volume = 2.4L

Final pressure of gas= 3atm

Unknown:

Final temperature = ?

Solution:

To solve this problem, we have to apply the combined gas laws.

Mathematically, the law is expressed as;

                  [tex]\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }[/tex]

where P₁ is the initial pressure

           V₁ is the initial volume

           T₁ is the initial temperature

          P₂ is the final pressure

          V₂ is the final volume

          T₂ is the final temperature

Since T₂ is the unknown, we must solve for it.

 convert T₁ from °C to K;

       T₁ = 273 + 50 = 323K

Now insert the parameters;

           

     [tex]\frac{5 x 2.9}{323} = \frac{3 x 2.4}{T_{2} }[/tex]

[tex]T_{2}[/tex] = 160.4K

Final answer:

According to Boyle's Law, when the volume of a gas decreases at constant temperature, the pressure of the gas increases. Using the formula P1V1 = P2V2, we can calculate the final temperature of the gas. In this case, the final temperature would be approximately 29.0 °C.

Explanation:

According to Boyle's Law, when the volume of a gas decreases at constant temperature, the pressure of the gas increases. This is expressed mathematically as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

In this case, the initial pressure is 5.0 atm, the initial volume is 2.9 L, the final volume is 2.4 L, and the final pressure is 3.0 atm. Plugging these values into the equation, we can solve for the final temperature. Rearranging the equation to solve for temperature gives T2 = (P2V2/T1) * (V1/P1).

Using the given values, we find T2 = (3.0 atm * 2.4 L) / (5.0 atm * 2.9 L) * (50.0 °C). Solving this equation gives T2 ≈ 29.0 °C.

Calculate the approximate number of molecules in a drop of water with a mass of 0.10 g.
A.
3 × 1021 molecules
B.
2 × 1023 molecules
C.
6 × 1021 molecules
D.
4 × 1023 molecules

Answers

Answer:

your answer is D -_- bc they want the approximate

Answer:

Option A. 3 × 10^21 molecules

Explanation:

From Avogadro's hypothesis, 1mole of any substance contains 6.02x10^23 molecules. This means that 1mole of H20 also contains 6.02x10^23 molecules.

1mole of H2O = (2x1) + 16 = 2 + 16 = 18g

If 1mole(i.e 18g) of H2O contains 6.02x10^23 molecules,

Therefore 0.1g of H2O will contain = (0.1 x 6.02x10^23) /18 = 3 x 10^21 molecules

What is the pressure in millimeters of mercury of 0.0105 mol m o l of helium gas with a volume of 223 mL m L at 50. ∘C ∘ C ? (Hint: You must convert each quantity into the correct units (L L , atm a t m , mol m o l , and K K ) before substituting into the ideal gas law.)

Answers

The pressure of helium gas in the given condition is 948.45 mm of Hg.

Explanation:

As per ideal gas law, the product of pressure and volume will be equal to the product of number of moles, gas constant and temperature of gas molecules. This is formed by the combination of three basic laws of kinetic theory of gases.

[tex]PV = nRT[/tex]

As the pressure P is unknown, but the volume V, temperature T and number of moles n is given for helium gas.

R = 8.314 J mol⁻¹ K⁻¹ = 62.363 mmHg L mol⁻¹ K⁻¹.

Then, pressure can be found as

[tex]P = \frac{nRT}{V}[/tex]

As T = 50°C = 50 + 273 K = 323 K and volume V = 223 mL = 0.223 L and n = 0.0105 mol

Then, [tex]P = \frac{0.0105*62.363*323}{0.223}=948.45 mm of Hg[/tex]

So, the pressure of helium gas in the given condition is 948.45 mm of Hg.

What substances devolve in water

Answers

Answer:

Two types of substances will dissolve in water: ionic compounds, such as sodium chloride (NaCl, or table salt) and compounds composed of larger molecules that have a net charge due to the arrangement of their atoms. Ammonia (NH3) is an example of the second type.

Explanation:

Answer:

sugar

salt

Explanation:

2. Define and describe a mixture using examples.

Answers

A mixture is a substance made by combining two or more different materials in such a way that no chemical reaction occurs.

A mixture can usually be separated back into its original components. Some examples of mixtures are a tossed salad, salt water and a mixed bag of M&M's candy.

What caused wind to blow

Answers

Answer:

Different atmospheric pressure. When there is a different atmospheric pressure, air moves from the higher pressure to the lower pressure area which results in what you call WIND but can result in various speeds and pressure.

Hope this helped and if it did, please give my answer a brainliest.

Answer:

Wind is caused by differences in the atmospheric pressure.

Explanation:

When a difference in atmospheric pressure exists, air moves from the higher to the lower pressure area, resulting in winds of various speeds.

Describe the movement of particles in a solid substance as it is heated to its boiling point.

Answers

Answer:

in a solid particles or still but as it gets hot the particles will move around rapidly

Final answer:

As a solid heats to its boiling point, it undergoes phase changes from solid to liquid to gas. At each stage, the particles' movement changes from fixed vibrations to free movement. These changes occur at constant temperatures known as the substance's melting and boiling points.

Explanation:

The movement of particles in a solid substance as it is heated to its boiling point involves different states of matter: the solid, liquid, and gas phases. In the solid phase, the particles of the substance are closely packed together and vibrate about fixed positions. As the temperature of the solid rises due to the heat, the vibrations of the particles increase. Upon reaching the melting point, the solid begins to transform into a liquid, a process known as melting.

The temperature remains constant during this phase transition until the entire solid has melted. In the liquid phase, the particles are not as closely packed as in a solid and can move more freely. As the temperature continues to rise, the liquid will eventually reach the boiling point, where it starts transforming into a gas in a process called vaporization. During this phase change, the temperature again remains constant until all the liquid has become a gas.

In the gas phase, the particles move most freely, colliding with each other and filling the available space. The behavior of these phase transitions is determined by the substance's unique melting and boiling points, which are affected by the environment's pressure. Phase changes also involve changes in the amount of heat in the substance, with heat absorbed during melting and vaporization, and released during condensation and freezing.

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Why might you only see a rainbow when rain is in front of you

Answers

Answer:

rain acts like a light prism which displays rainbow colors when light is shown through

Answer:

We see rainbow when the sun is behind us and and falling rain is in front of us

Explanation:

when sunlight strikes a falling drop of water it is retracted , changed indirection, by the surface of the water

Which of the following is an example of an organism that reproduces through mitosis?
A. human
B. tarantula
C. sunflower
D. bacterium

Answers

C. A Sunflower because it breathes cm

74 calories to kilocalories

Answers

Answer:74 calories to kilocalories  =0.074

Hope this helps

How do genes and chromosomes relate

Answers


Genes are contained in chromosomes, which are in the cell nucleus.
A chromosome contains hundreds to thousands of genes.

What kinds of elements form an ionic bond?

Answers

Ionic bonds usually occur between metal and nonmetal ions. For example, sodium (Na), a metal, and chloride (Cl), a nonmetal, form an ionic bond to make NaCl. In a covalent bond, the atoms bond by sharing electrons. Covalent bonds usually occur between nonmetals.

We have that For the Question"What kinds of elements form an ionic bond"

We see from the Definition that this kind of bond is formed b/w metals and non-metals

From the question we are told

What kinds of elements form an ionic bond

Generally

The Other Name for Ionic bond is covalent bond and it is formed when two ions of variant charge converge  and this kind of bond is formed b/w metals and none metals

Therefore

For the Question

What kinds of elements form an ionic bond

We see from the Definition that this kind of bond is formed b/w metals and non-metals

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Convert
375 m/s to ft/min

Answers

Answer:

73818.9

Explanation:

for an approximate result, multiply the speed value by 197

Nitrogen molecules rest with oxygen molecules. Nitrogen monoxide molecules are made.


N2 + O2 → 2NO


Nitrogen molecules and oxygen molecules react extremely slowly, even at 200°C.


The reaction between nitrogen

and oxygen becomes faster as both the temperature and the pressure increase. Explain why, using the reacting

particle model. (6 marks)

Answers

Answer:

At high temperature and pressure, reactions become faster

Explanation:

Collision theory or reaction particle model state that reacting particles must collide before reactions occur.

Reaction rate of reaction is dependent on the frequency of collision.

Kinetics of gases increases at higher temperature and pressure.

As the temperature and pressure of nitrogen and oxygen increased, they bound to move more faster, collide more frequently as to attain activation energy easily thereby increasing the reaction rate or making the reaction to complete faster.

Also at higher pressure, gaseous reactants are closer to each other.

What happens to the volume of a gas in a closed container if the temperature increases, but the pressure remains the same? Why?

Answers

Answer:

Volume will goes to increase.

Explanation:

The given problem will be solve through the Charles Law.

According to this law, The volume of given amount of a gas is directly proportional to its temperature at constant number of moles and pressure.

Mathematical expression:

V₁/T₁ = V₂/T₂

V₁ = Initial volume

T₁ = Initial temperature

V₂ = Final volume  

T₂ = Final temperature

So when the temperature goes to increase the volume of gas also increase. Higher temperature increase the kinetic energy and molecules move randomly every where in given space so volume increase.

Now we will put the suppose values in formula.

V₁/T₁ = V₂/T₂

V₂ = V₁T₂/T₁  

V₂ = 4.5 L × 348 K / 298 k

V₂ = 1566 L.K / 298 K

V₂ = 5.3 L

Hence prove that volume increase by increasing the temperature.

You just competed in a track meet and you run the 1500m race in 403 s. what was your average speed in miles per hour

Answers

Answer:

8.46mph

Explanation:

Given parameters:

Distance run = 1500m

Time taken to cover distance = 403s

Unknown:

Average speed in mph = ?

Solution:

The average speed of a travel is the rate of change of the total distance with time.

Speed is a scalar quantity that specifies magnitude of the travel but no direction.

    Average speed = [tex]\frac{Total distance covered }{Time taken}[/tex]

we need to covered distance to miles from m and time in seconds to hours.

       1609m = 1 mile

       1500m = [tex]\frac{1500}{1609}[/tex] =  0.93miles

                       3600s = 1hr

                        403s  = [tex]\frac{403}{3600}[/tex]  = 0.11hr

Average speed = [tex]\frac{0.93}{0.11}[/tex]   = 8.46miles per hour

Other Questions
About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?1 in 81 in 121 in 181 in 80 A metacharacter is a character that has a special meaning assigned to it and is recognized as part of a scripting or programming language. Escaping metacharacters is a programmatic tactic to treat all characters as basic ASCII rather than as something with special meaning or purpose.a.True.b. False. A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with a mean of 10.5 ounces and a standard deviation of 0.3 ounce. Find the proportion of all jars packaged by this process that have weights that fall above 10.983 ounces. Solve the equation:x 2x 15x=0 What are period and amplitude for the function PLEASE ANSWER BOTH QUESTIONS I WILL GIVE You the Solve the system of linear equations using elimination. 2x y = 3 9x y = 17 A) (2, 1) B) (2, 1) C) (2, 1) D) (2, 1) when an object gets larger, why does the volume of an object increase faster than the surface area? On the WAIS, the _____ score represents subtest scores on verbal tasks, such as vocabulary, comprehension, and general knowledge; the _____ score represents subtest scores on nonverbal tasks, such as identifying missing parts in incomplete pictures, arranging pictures to tell a story, or arranging blocks to match a pattern When maria comes home from work, she finds that her yard has been mowed and trimmed. an hour later, a man comes to her door to collect payment for the yard work. maria refuses to pay him because she has never seen him before nor had she hired him to do the work. which of the following is accurate?a. this is an implied, unilateral contract, so she must pay.b. maria has received unjust enrichment so a quasi contract is formed, so she must pay.c. the court would make maria pay the reasonable cost of the work to be fair to both parties.d. maria would not have to pay anything. An object with total mass mtotal = 15.8 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.5 kg moves up and to the left at an angle of 1 = 18 above the x axis with a speed of v1 = 27.5 m/s. A second piece with mass m2 = 5.4 kg moves down and to the right an angle of 2 = 23 to the right of the -y axis at a speed of v2 = 21.4 m/s. 1)What is the magnitude of the final momentum of the system (all three pieces)? The graphed line can be expressed by which equation?y+2=23(x+2) y2=34(x1) y1=34(x2) y2=34(x2) Whats the area of this? Cathy, a 460-N actress playing Peter Pan, is hoisted above the stage in order to "fly" by a stagehand pulling with a force of 60. N on a rope wrapped around a pulley system. What is the actual mechanical advantage of the pulley system? Which of the following are ordered pairs for the equation y = 1/8x + 11?(0,11) (5,12) (7,13)(0,11) (8,12) (16,13)(0,11) (7,13) (8,15)(0,11) (6,12) (8,13) Write a loop that sets each array element to the sum of itself and the next element, except for the last element which stays the same. Be careful not to index beyond the last element. Ex: Initial scores: 10, 20, 30, 40 Scores after the loop: 30, 50, 70, 40 The first element is 30 or 10 20, the second element is 50 or 20 30, and the third element is 70 or 30 40. The last element remains the same. An improvement in a firm's technology that improves productivity results in a(n): Group of answer choices downward movement along the supply curve. leftward shift of the supply curve. upward movement along the supply curve. willingness to supply a larger quantity than before at any given price. Michelle notices her brother Mark eating a second piece of chocolate from a box of candy. Because he rarely eats candy of any kind, Michelle concludes that Mark must really like the chocolate. In this instance, Michelle is relying on ____________ information to explain her brothers behavior. A climber on Mount Everest is meters from the start of his trail and at elevation meters above sea level. At meters from the start, the elevation of the trail is meters above sea level. If for near , what is the approximate elevation another 8 meters along the trail Compare the magnitude of the electromagnetic and gravitational force between two electrons separated by a distance of 2.00 m. Assume the electrons have a mass of 9.11 1031 kg and a charge of 1.61 1019 C. Round to two decimal places Andrea is reading a broad explanation for why some people are more vulnerable to addiction than are others. This reading material also includes several predictions concerning people's vulnerability to addiction. Andrea is reading a(n):______.