Answers
the equation of the parabola is given as [tex]y = 1/4 (x-6)^2 +1[/tex]. D
How to find the parabolaGiven the focus(6,2) and the directrix, y = 0
Use the formula
[tex]\sqrt{(x-6)^{2} + (y-2)^{2} } }[/tex] = (y - 0)
Find the square of both sides, square root is removed from the side with it and square added on the other side
[tex](x-6)^2 + (y-2)^2 = (y- 0)^{2}[/tex]
Expand the expression and bring all terms to one side
[tex]x^{2} - 6x - 6x + 36 +y^{2} -2y- 2y +4[/tex] = [tex]y^{2} - 0[/tex]
Collect like terms
[tex]x^{2} - 12x -4y + 40 = 0[/tex]
Make 'y' the subject of the formula
[tex]4y = x^{2} - 12x + 40[/tex]
Divide through by 4 and substrate 4 from 40 to give a perfect quadratic equation
[tex]y = 1/4( x^{2} - 12x + 36) + 4[/tex]
1/4 is dividing the quadratic equation [tex]x^2 - 12x +36[/tex]
Then divide factor by 4 to give 1, this is so because of the nature of the options given
[tex]y = 1/4( x^{2} -6x -6x +36) + 1[/tex]
Simplify the expanded quadratic equation
[tex]y = x (x -6) - 6 (x- 6)[/tex], we have [tex](x - 6) ^2[/tex]
Then insert in place into previous equation
[tex]y = 1/4 (x-6)^2 + 1[/tex]
Thus, the equation of the parabola is given as [tex]y = 1/4 (x-6)^2 +1[/tex]
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Related Questions
Which is not a characteristic of a compound?
has different properties from its component elements
different samples have different properties
can be represented by a chemical formula
a pure substance made of two or more elements
Answers
Escriba la formula de:
5) Ácido -3,3-dimetil-Pentinoico
6) 3-etil-6-Heptenoato de propilo
7) Bromuro de 2,3,3-trimetil--5--Hexenoilo
8) N,N-dimetil-2-metil-3-fenil-Butanamida
9) 2-etil-2,5-Octadienal
10) 2,3,3-trimetil-5-Hexinamida
Answers
Answer:
Translate your language to EnglishSolid aluminum and oxygen gas react to form solid aluminum oxide. Suppose you have 3.0 mol of Al and 11.0 mol of O2 in a reactor. Suppose as much as possible of the reacts. How much will be left? Round your answer to the nearest 0.1 mol.
Answers
8.75 moles of oxygen will be left
The reaction is
Al(s) + O₂(g) -----> Al₂O₃(s)
On balancing the equation, we get:
4Al(s) + 3O₂(g) -----> 2Al₂O₃(s)
If 3 mol of Al reacts, we need 3/4 x 3 = 9/4 = 2.25 mol of oxygenIf 11 mol of oxygen reactions, we need 11/3 x 4 = 44/3 = 14.7 mol of AluminiumBut we only have 3 mol of AlAluminium is the limiting reagent and all 3 moles of Al will reactWe get 2 moles of aluminium oxide from 4 moles of aluminium. So from 3 moles of aluminium, we get:3/4 x 2 = 6/4 = 1.5 moles of aluminium oxide
If we use 4 moles of Al, we need 3 moles of oxygenSo when we use 3 moles of Al, we need3/4 x 3 = 9/4 = 2.25 mol of oxygen
We had 11 moles of oxygenThe amount of oxygen left = 11-2.25 = 8.75 mol8.75 moles of oxygen will be left
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if the maximum temperature for a particular day is 20°c and the minimum temperature is 10°c, the daily mean would be:
Answers
The daily mean, given the data from the question is 15 °C
Data obtained from the questionMaximum temperature = 20 °CMinimum temperature = 10 °CMean = ?How to determine the daily meanMean = Sumation of data / Number of data
Mean = (20 + 10) / 2
Mean = 30 / 2
Mean = 15 °C
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The products of __________ combustion are carbon monoxide, carbon and water. what one word completes this sentence?
Answers
Answer:
Complete combustion
Explanation:
To solve such this we must know the concept of combustion reaction. Therefore the products of complete combustion are carbon monoxide, carbon and water.
What is chemical reaction?Chemical reaction is a process in which two or more than two molecules collide in right orientation and energy to form a new chemical compound. The mass of the overall reaction should be conserved.
There are so many types of chemical reaction reaction like combustion reaction, acid base reaction, double displacement reaction, combustion reactions. The products of complete combustion are carbon monoxide, carbon and water. Large amount of heat is also released in combustion reaction
Therefore the products of complete combustion are carbon monoxide, carbon and water.
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deduce the molecular formula of hydrogen 18.2%, carbon 81.8%, relative molecular mass is 44
Answers
Answer:
let number of carbon is an
Explanation:
hence 12 and + 2n is equal to 126
14 and is equal to 126
n is equal to 9
compare the properties of physical and chemical change with the help of an example.
Answers
Explanation:
For physical change(1)It is easily reversable, example: the melting of ice.
(2)It produces no new substance example: all cases of melting of solid to liquid.
(3) There is no change in the mass of the substance
example: the magnetization of iron.
For chemical change(1)It is not easily reversable, example: all cases of burning.
(2) new substance are produced example: rusting of iron.
(3) There is change in the mass of the substance, example : slaking of lime.
The reaction of nitrogen(g) with hydrogen(g) to form ammonia(g) proceeds as follows: N2(g) 3H2(g)2NH3(g) When 6.44 grams of N2(g) react with sufficient H2(g), 21.2 kJ of energy are evolved. What is the value of H for the chemical equation given
Answers
The enthalpy of the reaction is obtained as 4.876 kJ.
What is the enthalpy?The enthalpy of a reaction is the heat that is absorbed or emitted in a reaction.
Given the reaction; N2(g) + 3H2(g) ⇔2NH3(g);
Number of moles of N2 = 6.44 grams/28 g/mol
= 0.23 moles
If 1 mole of N2 releases 21.2 kJ of energy
0.23 moles of N2 releases 0.23 moles * 21.2 kJ /1 mole
= 4.876 kJ
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Which word equation best describes the following formula equation:
4Al+3O2→2Al2O3?
A. Four molecules of aluminum and three molecules of diatomic oxygen react to form two molecules of aluminum oxide.
B. Four molecules of aluminum react with six molecules of oxide to form twelve molecules of aluminum oxide.
C. Two molecules of aluminum oxide reacts to form three molecules of oxygen and four molecules of aluminum.
D. Aluminum reacts with oxide to form aluminum oxide.
Answers
Option A is the correct answer that describes the equation best as compared to other statement.
Which statement best describes the equation?Four molecules of aluminum and three molecules of diatomic oxygen react to form two molecules of aluminum oxide is the statement best describes the equation because this statement have same number of molecules that reacted in the equation. We considered an equation correct that have wrong numbers in front of atoms.
4Al+3O2------------>2Al2O3
So we can conclude that option A is the correct answer that describes the equation best as compared to other statement.
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valance shell example..
Answers
Answer:
Oxygen has six valence electrons, two in the 2s subshell and four in the 2p subshell.Valence electrons are the electrons in the outermost shell, or energy level, of an atom. Configuration of oxygen's valence electrons as 2s²2p⁴.Explanation:
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[tex]\\ \green{MaggieEve}[/tex]
According to Le Châtelier's principle, an increase in temperature will shift the equilibrium position toward the products in an endothermic reaction.
True
False
Answers
The statement "According to Le Châtelier's principle, an increase in temperature will shift the equilibrium position toward the products in an endothermic reaction" is definitely true.
What is Le Châtelier's principle?Le Châtelier's principle may be defined as transformations in the temperature, pressure, volume, or concentration of a system that will lead to observable and conflicting changes in the strategy in order to accomplish a refreshed equilibrium state.
According to Le Châtelier's principle, an increase in temperature generates the equilibrium to move in the direction of the product of the endothermic reaction, and the decrease in the temperature rationales the equilibrium to move in the direction of the product of the exothermic reaction.
Therefore, it is well described above.
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A 13.00 g sample of citric acid reacts with an excess of baking soda as shown in the equation.
H3C6H507 +3NaHCO3 →3CO2 + 3H₂O+Na3C6H507
What is the theoretical yield of carbon dioxide?
0.993 g
O2.98 g
O 3.65 g
8.93 g
Answers
Answer:
eheheehehehszndn!jejxxnndrrjrrrfufurururufjththjrjrjdjjjrj\u\ujrjeejrjjjj carbon
You can compare this
Citric acid (Mw) / 3CO2 (Mw) = Citric acid (g) / 3CO2 (g)
So (12)6+(1)8+(16)7 / 3[12 + (16)2] = 13 / 3CO2
192 / 132 = 13 / CO2
You can get 3CO2 = 8.93 g
In an endothermic reaction products are _____ in potential energy and _____ stable than reactants.
higher; more
lower; more
higher; less
lower; more
Answers
In an endothermic reaction, products are higher in potential energy and less stable than reactants.
What is an endothermic reaction?Endothermic reactions are those reactions that do not release heat but absorb heats, that's why the products are of higher potential energy and due to this they are less stable.
Thus, the correct option is C, higher; less.
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An unidentified element has one electron in the outer most shell. Explain what
characteristics you would expect this element to have? Your response should include
three or four sentences
Answers
Answer:
They are unstable as single atoms, but can become stable by losing or sharing their one valence electron.
Explanation:
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Which quantity is held constant for Boyle's law, Gay-Lussac's law, and Charles's law?
volume
mass
temperature
pressure
Answers
Boyle's law: in Boyle's law, pressure of a gas in inversely proportional to the volume while the temperature is shield constant
TemperatureGay-Lussac's law: In Gay-Lussac's law, pressure of a gas in directly proportional to the temperature while the volume is held constant.
VolumeCharles's law: In Charles's law, the volume of a gas is directly proportional to the temperature while the pressure is held constant.
PressureYou are trying to determine the
freezing point for a 0.195 m
baqueous solution of K₂S.
How many particles does K2S
dissociate into?
Answers
From the equation; there are three particles in solution.
What is freezing point?The term freezing point is the temperature at which a liquid substance is converted to solid. We know that this is colligative property thus it depends on the number of particles in solution.
The dissolution of K₂S gives us;
K₂S(s) ----> 2K^+(aq) + S^2-(aq)
This implies that there are three particles in solution.
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N₂ + 3H2 → 2NH3
224 L of nitrogen reacts with
excess hydrogen at 2773 K and
95 atm, using up 93.5 mol N2.
How many moles of ammonia
form?
Answers
Answer:
187 moles NH₃
Explanation:
To find the amount of ammonia formed, you need to multiply the given value by the mole-to-mole ratio consisting of both relevant molecules. The mole-to-mole ratio is made up of the molecules' coefficients in the balanced equation. The desired unit should be placed in the numerator of the ratio. The final answer should have 3 sig figs to reflect the lowest amount of sig figs among the given values.
1 N₂ + 3 H₂ ----> 2 NH₃
^ ^
93.5 moles N₂ 2 moles NH₃
---------------------- x ------------------------- = 187 moles NH₃
1 mole N₂
write the transitional metals and their electronic configuration
Answers
Answer:
yo no se nada
Explanation:
solo se que no se nada xd
What are chloroethane's conditions?
Please help me
Thanks
Answers
Explanation:
Hi there!
Chloroethane requires atleast one chlorine in ethane. It's general formula is CnH2n+1Cl. It mean it must have 2 carbons, 5 hydrogens and atleast one chlorine.
In addition, carbon-carbon bond must be single and chlorine is attached to either carbons. The carbon of this compound is SP³ hybridized and has bond angle of 120°.
Hope it helps!
b) Explain what happens when a drop of concentrated sugar solution is placed on a rheo leaf peel mounted on a glass slide. Name this phenomenon. Would the same happen if the rheo leaf was boiled before mounting? Give reason for your answer
Answers
The rheo leaf peel will lose water by osmosis and become flaccid. If the rheo leaf was boiled, this would not happen.
What is osmosis?Across living membranes, water moves from a region of high to a region of low water potential.
Concentrated sugar solutions have low water potential when compared to the cell sap of the cells of rheo leaf peel. Thus, water will move from the rheo leaf peel to the sugar solution.
This will result in the wilting of the leaf peel.
If the leaf peel is boiled, the membranes in the cells die and can no longer function as a selectively permeable interface.
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Please answer step by step.
Answers
3 moles of NaOH reacts with 1 mole of phosphoric acid.
What is the moles ratio of the NaOH and Phosphoric acid reaction?The moles ratio of the reaction between NaOH and Phosphoric acid is given by the equation of the reaction below:
[tex]3\:NaOH + H_{3}PO_{4} \rightarrow Na_{3}PO_{4} + 3\:H_{2}O \\ [/tex]
Based on the equation of the reaction, 3 moles of NaOH reacts with 1 mole of phosphoric acid.
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state and explain the trend in electronegativity values across period 3 from sodium to chlorine
Answers
The trend in electronegativity values across period 3 from sodium to chlorine is that sodium with 11 protons is the least electromagnetic element and chlorine with 17 protons is the most electronegative element.
What is electronegativity?It should be noted that electronegativity simply means a chemical property that describes the tendency of an atom to attract elements towards it.
In this case, the trend in electronegativity values across period 3 from sodium to chlorine is that sodium with 11 protons us the least electromagnetic element and chlorine with 17 protons is the most electronegative element.
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eggs do not contain sugar. Explain why they have such high energy values.
Answers
Answer:
becuz they have protien inside them dumy its easy
Answer:
because they have protein inside them dummy its easy therefore they did not have sugar
Explanation:
What are two ways in which the safe house of lean might influence a product owner?
Answers
The safe house of lean might influence a product owner to provide better customer service.
What is the main purpose of safe house of lean?The safe house of lean is designed to provide ultimate value to the customer one the shortest possible time.
Employing the safe house of lean might influence the product owner in the following two ways:
enable the product ownerr work together with Agile Teams to develop stories with clear acceptance criteria.assist Agile Teams gain a clear understanding of their customers and how best to serve them.Therefore, the safe house of lean might influence a product owner to provide better customer service.
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A compound has an empirical formula C₂H4S.
What is its molecular formula, if its molar
mass is 168 g/mol?
Answers
This means that the molar mass of [tex]\text{C}_{2}\text{H}_{4}\text{S}[/tex] is
[tex]2(12.011)+4(1.00794)+32.06=60.11376[/tex]
Dividing this by the given molar mass, we get [tex]\frac{168}{60.11376} \approx 3[/tex]
So, the molecular formula is about [tex]\boxed{\text{C}_{6}\text{H}_{12}\text{S}_{3}}[/tex]
What is the si unit if sound
Answers
Explanation:
The SI Unit of sound is decibel.
or we can say that
The SI Unit of sound is watt per square metre (i.e.w/m2).
what is electron
and the unit
Answers
Please select the word from the list that best fits the definition
Rock that is formed from the remains of older rocks and organisms
Super position
Radioactive dating
Sedimentary
Igneous
Metamorphic
Rock Cycle
Answers
Explained
Sedimentary rocks are formed from layers of eroded rocks, sand, silt, dead plants, and animal skeletons.
Which particles that make up an atom are involved in nuclear reactions?.
Answers
What is the molar concentration of
a solution that contains
5.0 mol HCl in a total volume
of 10.0 L?
Answers
Answer:
0.5
Explanation:
5/10=0.5
