Write the expression using a single exponent.

–4^7(4^7)

–4^4


–4^11....correct


4^11


–16^11


part 2 of it is

5^9/5^3=5a

a=_____ ........... 6


Part 3 is (6^2)^7

6^5

6^9

6^14...correct

6^49.

Answers

Answer 1

The mathematical expressions written using a single exponent are as follows:

4⁴(4⁷) = 4¹¹

5⁹/5³; a = 6

(6²)⁷ = 6¹⁴

What are exponents in a mathematical expression?

A number or letter written above and to the right of a mathematical expression known as the base is termed an exponent. It denotes that the base is to be increased in strength.

Consider the following expression: xⁿ

In the given expression above, the base is x, while the exponent or power is n. For expressions having the same base, the exponents are added if the expressions are to multiplied, and subtracted when the expressions are to be divided.

The exponents are multiplied if the exponents are raised to a power.

Considering the given expressions:

4⁴(4⁷) = 4¹¹

5⁹/5³ =  5⁶

Hence, a = 6

(6²)⁷ = 6¹⁴

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Related Questions

Which of the following properties of covalent compounds are influenced by ionic character?
a. melting point
b. boiling point
c. viscosity
d. all of the above

Answers

The property of the covalent compound that is influenced by ionic character is boiling point. Option B

What is the ionic character?

We know that for compounds, the kind of bonds that they have are usually neither here nor there. The bonds would have an ionic character and also a given amount of the covalent character.

We must note that the ionic character of a bond is very important when we discuss intermolecular interactions and they do affect the boiling points of the substances very much.

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. The reaction rates of many spontaneous reactions are actually very slow. Which of these statements is the best explanation for this observation? (1) The activation energy of the reaction is large. (2) AG for the reaction is positive. (3) Such reactions are endothermic. (4) The entropy change is negative.

Answers

In reality, spontaneous reactions occur relatively slowly because The reaction's activation energy is high.

Hence, Option 1 is correct.

A spontaneous reaction is one that favors the creation of products in the environment in which it is taking place.Given that spontaneous reactions discharge free energy, the sign of G must be negative. There are four distinct conceivable combinations because both H and S can be either positive or negative depending on the features of the specific reaction.An exothermic example of a spontaneous reaction is a raging campfire (there is a decrease in the energy of the system as energy is released to the surroundings as heat).

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a chloride of rhenium contains 63.6% rhenium. what is the formula of this compound?

Answers

A chloride of rhenium contains 63.6% rhenium.  the formula of this compound  is Re2Cl3.

The chemical trirhenium nonachloride has the formula ReCl3, which is occasionally also written as Re3Cl9. It is a hygroscopic solid that is dark red in color and insoluble in common solvents. The substance is significant in the development of inorganic chemistry since it was the first cluster compound to have metal-metal links. [1] It serves as the raw ingredient for the production of various rhenium complexes. Rhenium is an atomic number 75 chemical element with the symbol Re. It is a heavy, third-row transition metal in group 7 of the periodic table that is silvery-gray in color. Rhenium is one of the rarest elements in the Earth's crust, with an estimated average concentration of 1 part per billion (ppb).

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in an experiment a piece of magnesium ribbon was cleaned with steel wool 2.4g of the clean ribbon was placed in a crucible and completely... In an experiment a piece of magnesium ribbon was cleaned with steel wool 2.4g of the clean ribbon was placed in a crucible and completely burnt in oxygen.after cooling the product weighted 4.0g. (a)explain why it was necessary to clean the magnesium ribbon? (b)what observation was made in the crucible after burning? (c)why was there an increase in mass? (d)write the equation for reaction which took place in the crucible? (e)the product in the crucible was shaken with water and filtered.​

Answers

(a) It was necessary to clean the magnesium ribbon in order to remove any impurities or contaminants that might be present on the surface of the ribbon. These impurities could interfere with the burning process or alter the final products of the reaction.

(b) After burning, it is likely that an ash or residue was observed in the crucible.

(c) The increase in mass may be due to the production of new products during the burning process. These products may include magnesium oxide, which is a white solid, or other compounds formed through the reaction of magnesium with oxygen.

(d) The equation for the reaction that took place in the crucible is:

2Mg + O2 -> 2MgO

(e) When the product in the crucible is shaken with water, it is likely that any soluble products, such as magnesium hydroxide, will dissolve in the water. The remaining solid material can then be filtered out, leaving a solution containing the dissolved products.

Final answer:

The magnesium ribbon was cleaned to remove any impurities that could affect the reaction. After burning magnesium in oxygen, the resulting product is magnesium oxide, and the mass increases because the magnesium combines with the oxygen. The reaction equation is 2Mg + O2 -> 2MgO.

Explanation:

(a) It was necessary to clean the magnesium ribbon with steel wool to remove any surface oxidation or impurities that could affect the reaction.
(b) After burning, an observation that could be made in the crucible would be a white ash-like substance, which is magnesium oxide.
(c) There was an increase in mass because when magnesium reacts with oxygen, it gains mass as it combines with the oxygen to form magnesium oxide.
(d) The equation for the reaction is: 2Mg + O2 -> 2MgO
(e) When the product in the crucible was shaken with water and filtered, this procedure would typically be used to isolate the product from any remaining unreacted magnesium or other reaction by-products.

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What are the factors affecting the state of a substance?

Answers

There are three main factors that affect the state of a substance: temperature, pressure, and the amount of substance.

Temperature: Temperature is a measure of the average kinetic energy of particles within a substance. As the temperature of matter increases, particles have more kinetic energy and move faster. This can change the state of matter from solid to liquid or from liquid to gas.

Pressure: Pressure is the force exerted on a substance per unit area. Applying pressure to a substance can change its state from gas to liquid or from liquid to solid.

Amount of Matter: The amount of matter in the system also affects its state. As the amount of matter in the system increases, the particles become more dense and the matter can change state from gas to liquid or liquid to solid.

Taken together, temperature, pressure and amount of matter are the three main factors that affect the state of matter. These factors can change the state of matter from solid to liquid, liquid to gas, or gas to solid.

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How many molecules are in 10.0 g of aspartame?

Answers

There are 0.034 x 1019 = 10¹⁹ moles of molecules in 10 g of aspartame.

Avogadro's constant, 6.022 1023, and the molar mass of the material are used to calculate the number of molecules in a given mass of the substance. Aspartame's molecular formula is C14H18N2O5.

Aspartame has a molecular mass of 294 (12 * 14 + 1 * 18 + 14 * 2) + 16 * 5)

Let's convert the 10 mg mass supplied to aspartame moles as follows:

Amount of moles =

= 0.034 × 10 ⁻⁵ mole

We may convert this number to molecules using Avogadro's constant as follows:

= 0.034 × 10 ⁻⁵ (6.022 × 10²³)

= 0.034 × 10¹⁹

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convert formic acid into methane​

Answers

Catalytic conversion of formic acid into methanol was investigated with Cu as a catalyst and Al as a reductant under hydrothermal conditions. It was found that formic acid can be converted into methanol by such means. The highest yield of methanol (30.4%) was attained with a temperature of 300 °C and a reaction time of 9 h. Hope this helped!

The statement "atoms have a small, dense nucleus" is true. What evidence do scientists use to prove this statement as true?


Most alpha particles shot at gold foil go straight through, without any changes in their direction.


The particles ejected in Thomson's experiment bent away from the negatively charged plates, but toward positively charged plates.


A few alpha particles shot at gold foil bounce in the opposite direction


No matter which element Thomson put in a cathode ray tube, the smae negative particles wit the same properties (such as charge and mass) were ejectected.

Answers

In the gold foil experiment, alpha particles shot at gold foil bounced in the opposite direction from a gold foil which indicated atoms have a small, dense nucleus.

What is the gold foil experiment?

Rutherford’s α-particle scattering or gold foil experiment changed our perception of the atomic structure of an atom. Rutherford bombarded beams of α-particles at thin gold foil and observed how the α-particles scattered from the gold foil.

Rutherford showed that the atom has the most empty space with the nucleus at the center and electrons rotating around the atomic nucleus. Highly charged α-particles passed straight undeflected through the foil. This will be the expected result if the plum pudding model of Thomson was correct.

A few charged alpha particles were deflected backward direction leading to the positive charge concentrated in a small space.

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calculate the solubility of AgCN in a solution containing 1.0M H Ksp of AgCN is 2.2e-12 Ka of HCN is 6.2e-10

Answers

The solubility of AgCN in a solution containing 1.0M H Ksp of AgCN is 2.2e-12 Ka of HCN is 6.2e-10 is 5.9 x 10^-2M.

Given concentration of H+ (M) = 1.0M

Ksp of AgCN = 2.2e-12

Ka  of HCN = 6.2e-10

AgCN ⇋ Ag+ +CN− ................Ksp

CN − + H+ ⇋ HCN................... 1/Ka​

AgCN + H+ ⇋ HCN + Ag+ ...................Ksp/Ka = K0

K0 = 2.2e-12/6.2e-10 = 0.0035 = 35 x 10-4

At Equilibrium:   AgCN + H+ ⇋ HCN + Ag+

Let the moles of [Ag+] = x

So the number of moles of [HCN] = x

K0 = [Ag+] [HCN] / [H+]

35 x 10-4 = x^2/1

x = 5.9 x 10^-2M

Hence the molar solubility of AgCN in buffer solution is 5.9 x 10^-2M.

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The movement of tectonic plates is so slow and gradual that you cannot see or feel them moving. As a result, scientist depend on the global positioning system (GPS) to verify tectonic plate motion. Satellites can measure the small distances that GPS ground stations move over time. In what units is the movement of tectonic plates measured? Group of answer choices.

Answers

Answer:

centimeters per year

Explanation:

Biological approaches to treating psychological disorders presume that
(1 Point)

A.the body and the mind are not related.

B.psychotherapy is completely ineffective.

C.there is an underlying physiological reason for disturbed behavior.

D.psychological disorders can never be completely cured.

Answers

The answer is a I hope this helped

Identify the Lewis acid in the following reaction: Pt2+(aq) + 4NH3 (aq) ? Pt(NH3)4,2+(aq)
a) Pt2+
b) NH3
c) Pt(NH3)4,2+

Answers

The Lewis acid in the following reaction: Pt2+(aq) + 4NH3 (aq) ?Pt(NH3)4,2+(aq) is : a) Pt2+.

What do you understand by a Lewis acid?

Platinum ion (Pt2+) ( P t 2 + ) is a Lewis acid in the given reaction because it accepts pair of electron from ammonia.

A Lewis acid is any substance, such as H+ ion, that can accept a pair of nonbonding electrons. In other words, Lewis acid is an electron-pair acceptor. Lewis acid is chemical species that has an empty orbital which is capable of accepting electron pair from Lewis base to form a Lewis adduct.

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In the reaction

2 NO(g) + O2(g) → 2 NO2(g)
when the NO concentration alone was doubled, the rate increased by a factor of 4; when both the NO and O2 concentrations were in-
creased by a factor of 2, the rate increased by a factor of 8. What is the rate law for the reaction?

Answers

Answer:

rate = [NO]²[O2]

Explanation:

The rate law for the reaction:

2 NO(g) + O2(g) → 2 NO2(g)

Is expressed in terms of reactants as follows:

rate = [NO]ⁿ[O2]ˣ

Where n and x are the coefficients of the rate law.

If [NO] is doubled, the rate increased 4 times. That is only possible if:

rate = [NO]²[O2]ˣ

Now, as [NO] is doubled and increased the rate 4 times, and [NO] + [O2] when doubled increased the rate 8 times, doubled [O2] implies increased the rate 2 times. That is only possible is:

rate = [NO]²[O2]

A baketball ha a momentum of 6. 0 kg m/ outh and a ma of 0. 15 kg what i the baketball velocity

Answers

The basketball velocity is 40 m/s.

What is velocity?

A vector quantity with both size and direction is velocity. In respect to time, it is the rate with which a displacement changes. Using the formula velocity = displacement/time, velocity may be computed. It is a way to gauge how quickly something is moving in a certain direction. Acceleration, or the rate at which an object's velocity changes, is closely related with velocity. Being a vector quantity, velocity has both a direction and a magnitude. An object must move at the a constant speed and in the same direction in order to maintain a constant velocity.

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What is the variable in an experiment?
A the glass tubes you use
B the questions you ask
C the thing you want to test
D the part that stays the same

Answers

im not sure but i think the answer is C

How many ATP does ATP produce?

Answers

The bulk of ATP production occurs during cellular respiration within the mitochondrial matrix, producing around thirty-two ATP molecules for every molecule of oxidized glucose.

What is ATP?

The energy currency of the cell is ATP (adenosine triphosphate). It is a natural chemical molecule made up of phosphate groups, adenine, and the sugar ribose. These molecules supply energy to the body's many metabolic operations. Therefore, it is dubbed "Energy Currency of the Cell". ATP can be utilized to store energy for future reactions or it can be used to pay for reactions when the cell need energy. Animals use ATP to store the energy received from food breakdown. Similarly, plants use ATP molecules to collect and store the energy they receive from light during photosynthesis.

Here,

The majority of ATP is produced during cellular respiration within the mitochondrial matrix, which produces around thirty-two ATP molecules for every molecule of oxidized glucose.

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A compound is found to contain 43.64 % phosphorus and 56.36 % oxygen by weight The molecular weight for this compound is 283.88 g/mol. What is the molecular formula for this compound

Answers

A compound is found to contain 43.64 % phosphorus and 56.36 % oxygen by weight The molecular weight for this compound is 283.88 g/mol. is the molecular formula for this compound is P₂O₅.

Given that :

mass of the oxygen = 56.36 %

molar mass of the oxygen = 16 g /mol

moles of the oxygen= mass / molar mass

                                          = 56.36 / 16

                                          = 3.52 mol

mass of the phosphorus = 43.64 %

molar mass of the phosphorus = 31 g/mol

moles of the phosphorus = 43.64 / 31

                                         = 1.41 mol

dividing by the smallest one :

moles of the phosphorus = 1 = 2

moles of the oxygen = 2.5 = 5

The molecular formula is P₂O₅.

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When stomach acid helps to break down food into smaller particles this is
an example of a change.*
O Physical
Chemical
O
Elemental
о
Atomic

Answers

Answer:

chemical, is the answer your looking for

Diatomic elements are important. what makes them different from other elemental substances?

Answers

Diatomic elements are elements that exist as two atoms bound together, usually in the form of a molecule.

What is Diatomic?

Diatomic molecules are molecules composed of two atoms, held together by chemical bonds. They are the simplest type of molecule, and are very common in nature. Examples of diatomic molecules include oxygen (O2), nitrogen (N2), hydrogen (H2), chlorine (Cl2), and iodine (I2). Diatomic molecules have a wide range of applications in various industries, such as medicine, chemistry, engineering, and energy.

This differs from other elemental substances because those substances contain only one atom. Diatomic elements are very common in nature and make up a large percentage of the atmosphere. They also have unique properties because of the two atoms being bound together. Diatomic elements are an important part of many everyday processes, from respiration to combustion to corrosion.

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On a camping trip, Marta roasts a marshmallow in the campfire. The marshmallow grows, and then turns black.
Marta notices that the roasted marshmallow smells and tastes differently than the uncooked marshmallows. What
change has taken place, and how does Marta know?
A
a chemical change because the marshmallow changed in taste, color and smell
B
no change because the marshmallow is not a new substance
с
only a physical change because the marshmallow changed size
D
a chemical change because the marshmallow only changed in pH level

Answers

Answer:

the answers for the quiz are;

1: A. appearance, composition

2: C. they link up in different ways

3: A. Shape

4: B. false

5: C. a chunky solid formed from two liquids combining

6: B. honey dissolving in tea

7: C. a red candy dissolves and turns water pink

8: liquid water becoming steam

9: D. A substance has changed chemically

10: A. a chemical change because the marshmallow changed in taste, color and smell

Explanation:

On the roasting of marshmallows, a chemical change takes place which changed their taste, color, and smell. Therefore, option (A) is correct.

What is the chemical change?

A chemical change is a type of change in which the molecular composition is altered and a new substance is formed is known as a chemical change.

The changes are irreversible and permanent in chemical change. The mass of the substance is altered by adding or removing it during a chemical change.

During a chemical change, there is an energy difference in the breaking of old bonds and the formation of new bonds.

When marshmallows are roasted, a chemical change takes place. The heat causes a chemical reaction producing water molecules, which evaporate and leave carbon behind.

The marshmallow swells as the moisture inside expands, which causes the marshmallow to swell. when the moisture expands, it forms tiny holes in the marshmallow, which offer the moisture to escape as steam.

Then, the carbon present in sugar burns with the oxygen in the air. The blackened part of the marshmallow is the roasted carbon which changes the marshmallow's color.

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The kind of molecular motion that mostly relates to the temperature of a substance is
A) translational motion.
B) rotational motion.
C) vibrational motion.
D) all about equally

Answers

The kind of molecular motion that mostly relates to temperature of a substance is : A) translational motion.

What is meant by translational motion?

Motion in which all the points of a moving body moves uniformly in the same direction. If object is undergoing translatory motion, we can see that there is no change in the orientation of object. Translatory motion is also called translational motion.

In kinetic theory of gasses, increasing the temperature of a gas increases the average kinetic energy of the molecules, causing an increased motion. This increased motion increases outward pressure of the gas, which an expected result from the ideal gas equation (PV=NkT).

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If 2.65 mol of O2 gas has a volume of 49.0 L at 180 C, what is the pressure of the gas?

Answers

Answer:

2.01atm

Explanation:

Analysis of a 10.150 grams sample of a compound known to contain only phosphorus and oxygen indicates a phosphorus content of 4.433 grams. What is the empirical formula of this compound

Answers

A 10.150 grams sample of a compound containing only phosphorus and oxygen which indicates a phosphorus content of 4.433 grams has the empirical formula P₂O₅.

An Empirical formula is defined as the simplest whole number ratio of different atoms present in the molecule of a compound.

given,

mass of the unknown compound= 10.150 g

mass of phosphorus= 4.433 g

therefore, mass of oxygen

=mass of the unknown compound -  mass of phosphorus

=10.150-4.433 g

=5.717 g

we know that

molar mass of oxygen = 16 g/mol

molar mass of phosphorus = 31 g/mol

number of moles of oxygen

=mass/molar mass

=5.717g/16gmol⁻¹

=0.357

number of moles of phosphorus

= mass/molar mass

= 4.433g/31gmol⁻¹

=0.143

Now, we will divide the moles by the smallest number of moles (0.143)

O= 0.357 / 0.143 =2.49≈ 2.5

P= 0.143 /0.143 = 1

now, we will multiply both numbers by 2 to get the simplest whole number ratio

O= 2.5×2= 5

P= 1×2= 2

Thus, the empirical formula is P₂O₅.

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. What are two major organs of the excretory system?

Answers

Answer:

Kidney and bladder..............

Answer:

Option B

The answer is Kidneys and Bladder

Explanation:

The Excretory Organs

A pair of KidneyA pair of Uterus A Urinary BladderA Urethra

But, Kidneys and Bladder is the major organ in Excretory System

Thus, The answer is Kidneys and Bladder

-TheUnknownScientist

The following reaction shows the products when sulfuric acid and aluminum hydroxide react.


2Al(OH)3 + 3H2SO4 → Al2(SO4)3 + 6H2O


The table shows the calculated amounts of reactants and products when the reaction was conducted in a laboratory.


What is the approximate amount of the leftover reactant?

11. 73 g of sulfuric acid

10. 33 g of sulfuric acid

11. 12 g of aluminum hydroxide

13. 67 g of aluminum hydroxide

Answers

The remaining reactant (Aluminum Hydroxide) weighs approximately 11.73 g.

Hence, Option A is correct.

Al(OH)3 has a molar mass of 78 g.H2SO4 has a molar mass of 98 g.Given:Al(OH)3 mass = 30gH2SO4 mass = 35gAl number of moles (OH)3 = 30/78 =0.385H2SO4 mole number = 35/98 = 0.357The provided reaction states that 2Al(OH)3 + 3H2SO4 Al2 (SO4)3 + 6H2OAl, 2 moles (OH)H2SO4 is equal to 3 moles.Al 1 moles (OH)H2SO4 is equal to 3/2 moles.Al 0.385 moles (OH)0.578 moles of H2SO4 are equal to 3 = (3/2) x 0.385 moles of H2SO4.But the amount of H2SO4 is only 0.357 moles.H2SO4 is the limiting reagent as a result.Al(OH)3 is produced when 0.357 moles of H2SO4 react with = 2/3 x 0.357 moles of Al(OH)3.Al(OH)3 leftovers are therefore 0.147 moles (0.385 - 0.238 moles).Al(OH)3 has a molecular weight of 78 g, hence 78 x 0.147 g is one mole.= 11.43 g11.73 g of Al(OH)3 will be left behind as a result.

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6.0 mol Al reacts with 4.0 mol O2 to form Al2O3.
4A1+30₂ → 2Al₂O3
How many moles of Al2O3 form when 4.0 mol Al reacts?

Answers

2 moles of Al₂O₃ will be produced when 4 moles of Al reacts in accordance with the above equation.

How to calculate moles using stoichiometry?

Stoichiometry refers to the study and calculation of quantitative (measurable) relationships of the reactants and products in chemical reactions (chemical equations).

According to this question, 6.0 moles of Al reacts with 4.0 mol of oxygen gas to form Al₂O₃ as follows:

4Al + 30₂ → 2Al₂O₃

Based on the above equation, 4 moles of Al reacts to form 2 moles of aluminium oxide.

This means that 4 moles of aluminium will produce 4 × ²/4 = 2 moles of aluminium oxide.

Therefore, 2 moles of Al₂O₃ will be produced by 4 moles of aluminium.

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Why and how does atom change during time​

Answers

Adding or removing protons from the nucleus changes the charge of the nucleus and changes that atom's atomic number. So, adding or removing protons from the nucleus changes what element that atom is

What are the 7 are elements?

Answers

The classical elements or seven elements in nature are plants, warm energy, soil, mineral, water, cold energy, and air.

Living organisms incorporate distinctly massive quantities of oxygen, carbon, hydrogen, nitrogen, and sulfur (those 5 factors are called the majority factors), together with sodium, magnesium, potassium, calcium, chlorine, and phosphorus (those six factors are called microminerals). From the smallest atom to a massive whale to the sun machine itself, all matters are stated to be composed of a few aggregate of those elements. Halogens belong to group 17, and they acquire only one electron in order to attain stable electronic configuration.

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Which represents the greatest mass?
• all the same
• 1.0 mol P
• 1.0 mol I
• 1.0 mol K
• 1.0 mol Al​

Answers

Answer:

it is 1 mole of I is correct

What happens to the reactivity as you move from left to right?

Answers

The reactivity of the element in the periodic table as me move from the left to right in the period it will decreases first and then it will increases.

In the periodic table , for the metals the reactivity of the decreases as we move across the period from left to the right. in the group it will increases as we move from the top to bottom.

In the periodic table for the non metals, the reactivity will increases as we move from left to the right in a period. in the group it will decreases as we move from top to the bottom.

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Cattle get most of their energy fromminerals.carbohydrates.vitamins.fats and oils. reaction between yellow solid and water Why is copper wire a better conductor of electricity than carbon fiber? (1 point)A) Carbon (C) does not have any valence electrons.B) Copper (Cu) is a metal, and only metals can conduct electricity. C) The electrons in copper (Cu) are loosely bound to the nucleus.D) Copper (Cu) has no loose electrons. Assume the triangular prism has a base area of 49 cm^2 and a volume of 588 cm^3. Which base side length does the rectangular prism need to have the same volume? Due to the increase in commercial farming, family farms in Africa have become less and less profitable. Rural families engage in subsistence agriculture. How has this led to the growth of cities?People are moving into the cities where there is plenty of lands available to grow commercial crops.Africans make so much money with cash crops that they can afford to own second homes in big cities.Since little money can be made in farming, people move to cities looking for work.Commercials for agriculture make cities look inviting, so rural families sell farms and move. Find the measure of the missing angles. What is the term used to describe the land area where precipitation seeps into the soil and replenishes groundwater reserves What is the domain of the function f(x)=x? Which mountain range is not located in the western region of North America?Rocky MountainsAppalachiansCascadesSierra NevadaPlease ASAP!!! Virtual classroom and in-person classroom are different because eachmethod has his features_______________________________and____________are alike because________________The most important difference is_______________________An important similarity is___________________ how to go from grams to atoms? What does Mr Utterson find in the letter Dr Lanyon leaves him and why does this worry him? You work in an office that uses Linux servers and Windows servers. The network uses both the TCP/IP protocol. The Linux server is used as an FTP server. Today you have received several calls from people who are unable to contact the Linux server at its known IP address. You are sitting at the Linux server and want to check its IP address. Which command should you use Find the slope of the line. ASAP PLEASE WILL GIVE BRAINLIEST **GIVING HEART + 5 STARS TO WHOEVER ANSWERS FIRST**please answer this question that's shown on the image!thank you for at least trying to answer the question/thank you for answering this question! Nilda has 40 points on a game show. She answers the next question incorrectly and loses 50 points. Sketch a number line to find the new score. Please help Part AWhich is the vertex form of the function f(x) = 3x2 30x + 71?OA. 3(x - 5)2 - 4B. 2(x 6)2 - 1C. 3(x 4)2 + 23D. 5(x 4)2 9Part B.What is the vertex of the function?vertex = ( A 1.65-kg mass stretches a vertical spring 0.215 m. If the spring is stretched an additional 0.130 m and released, how long does it take to reach the (new) equilibrium position again find angle D thank you so much need help. geomtry