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
the law of definite proportions was first stated by
a. lavoisier
b. galileo
c. proust
d. dalton
Answers
Answer:
C.proust
Explanation:
Proust's law of definite proportions.
The law of definite proportions was first put forward by the French chemist Joseph Louis Proust in 1779. The discovery that mass was always conserved in chemical reactions was soon followed by the law of definite proportions, which states that a given chemical compound always contains the same elements in the same proportions by mass.
The law of constant proportions is often referred to as Proust’s law of definite proportions.For example, in a nitrogen dioxide (NO2 ) molecule, the ratio of the number of nitrogen and oxygen atoms is 1:2, but the mass ratio is 14:32 (or 7:16).For example, pure water will always contain hydrogen and oxygen in a fixed mass ratio (a gram of water consists of approximately 0.11 grams of hydrogen and 0.88 grams of oxygen, the ratio is 1:8).━━━━━━━━━━━━━━━━━━━━━
An avalanche comes down the East side of the mountain. If the avalanche lasted for 97 seconds and travels 4.5 miles, what was the velocity of the avalanche?
Answers
The velocity of the avalanche is 0.04 miles / sec. If the avalanche lasted for 97 seconds and travels 4.5 miles,
What is Velocity ?Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time .
The standard unit of velocity magnitude (also known as speed ) is the meter per second (m/s). Alternatively, the centimeter per second (cm/s) can be used to express velocity magnitude.
Given ;
Time = 97 secDistance = 4.5 milesFormula used ;
Velocity = Distance / Time
Therefore,
Velocity = 4.5 miles / 97 sec
= 0.04 miles / sec
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calculate mole fraction of benzene (70 g) having 30 gram of mass of carbon tetrahedral
Answers
Moles of benzene
70/90=7/9=0.8molmoles of CCl_4
30/1540.2molNow
[tex]\\ \rm\Rrightarrow \chi_{C_6H_6}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{\chi_{C_6H_6}}{\chi_{sol^n}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{0.8}{0.8+0.2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{0.8}{1}[/tex]
[tex]\\ \rm\Rrightarrow 0.8[/tex]
question 2 of 30
Which of the following is a reduction half-reaction?
OA. Cl₂(1)→ Cl₂(s)
OB. 2Cl + 2e → Cl₂
OC. Cl₂ → 2Cl + 2e
OD. 2C1+ + 2e → Cl₂
SUBMIT
Answers
Answer: D
Explanation:
Reduction involves the gaining of electrons.
This eliminates choices A and C.However, charge must be balanced, and this is not the case for choice B, but it is the case for choice D
How many liters of a 0.80 M
solution can be made with 2.0 mol
KNO3?
{?} L
Answers
Answer:
Explanation:
Solution
Verified by Toppr
2 molL
−1
Explanation :
Concentration =
Volume of solution
Moles of solute
We assume that potassium nitrate dissolves in the given volume of solvent without gross change in volume.
Concentration =
101.10gmol
−1
404g
What is a quantum of light energy called?
O A. A photon
OB. A frequency
O C. A proton
O D. An electron
Answers
Answer:
A) photon
Explanation:
hope it helps and give brainliest if its correct
Answer:
PhotonExplanation:
please mark brainliest pleasewhat is chica's email
Answers
how are we (brainly users) supposed to know. unless its just me that doesn't know.
sorry that this isn't really much help. :/
A voltaic cell is made using a lead electrode and copper electrode. The electrolytes for each half cell are lead nitrate and copper nitrate. Write the cell notation for this cell and calculate its cell potential (E°cell).
Answers
The cell notation is [tex]Pb_{(s)}[/tex] [tex]Pb^{2+} _{(aq)}[/tex] ║[tex]Cu^{+2}_{aq}[/tex] [tex]Cu_{(s)}[/tex] and the cell potential is 0.464
The reaction occurred while losing of hydron is known as oxidation reaction
We can also tell that the reaction occurred while gaining of oxygen atom is known as oxidation reaction.
The reaction occurred while gaining of hydrogen is known as reduction reaction or we can say that the reaction occurred while losing oxygen atom is known as reduction reaction
An electrochemical cell's cell potential is defined as the difference in potential between two half cells. The electrons' capacity to go from one half cell to the other is what causes the potential difference. As a result of the chemical reaction being a redox reaction, electrons can travel across electrodes.
Calculating the Cell potential
E°cell = E°(reduction) - E°(oxidation)
= 0.34 - (-0.0124)
= 0.464
Hence the cell potential is 0.464
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The energy of a photon from certain wavelength is 1.37 x 10^-20 j, what is the frequency in hz?
Answers
Answer:
frequency = 2.07 x 10¹³ Hz
Explanation:
To find the frequency of the photon, you need to use the following equation:
E = hv
In this formula,
-----> E = energy (J)
-----> h = Planck's Constant (6.626 x 10⁻³⁴ J*s)
-----> v = frequency (Hz)
Since you have been given values for two of the variables (in the correct units), you can plug them into the equation and simplify to find the frequency.
E = hv <----- General Equation
E = (6.626 x 10⁻³⁴ J*s)v <---- Plug in Planck's Constant
1.37 x 10⁻²⁰ J = (6.626 x 10⁻³⁴ J*s)v <----- Plug in energy (given)
2.07 x 10¹³ = v <----- Divide both sides by 6.626 x 10⁻³⁴
How does separating CHEMICALS through DISTILLATION harm the environment ?
Explain in your own words
Answers
Explanation:
Distillation is the separation of mixture of two liquids which differ in boiling point. Through Distillation vapour that is formed spread thoroughly in our environment
How many liters of a 4M solution can be made using 100 grams of LiBr?
Answers
Answer:
volume = 0.288 L
Explanation:
To find the volume, you need to (1) convert grams LiBr to moles LiBr (via molar mass) and then (2) calculate volume (via molarity equation). It is important to arrange the ratios in a way tat allows for the cancellation of units (desired units in the numerator).
(Step 1)
Molar Mass (LiBr): 6.9410 g/mol + 79.904 g/mol
Molar Mass (LiBr): 86.845 g/mol
100 grams LiBr 1 mole
----------------------- x ------------------ = 1.15 moles LiBr
86.845 g
(Step 2)
Molarity (M) = moles / volume (L)
4 M = 1.15 moles / volume
(4 M) x volume = 1.15 moles
volume = 1.15 moles / 4 M
volume = 0.288 L
HELP FAST!!!!!!!
Which two groups have the same functional group?
O A. Amines and alcohols
B. Aldehydes and esters
C. Ketones and aldehydes
D. Esters and ethers
Answers
Answer:
C. Ketones and aldehydes
Explanation:
they are both carbonyl functional group
they both have a carbon-oxygen double bond
testosterone is an example of a ketone
formaldehyde is an example of a aldehyde
opentextbcca
wikipedia
Answer:
Ketones and Aldehydes
Explanation:
i just took tha test
Which statement is true for most chemical reactions?
O An energy change occurs during the breaking and forming of bonds.
O The internal energy of the system increases during a reaction.
O Energy is released during the formation of reactants.
O The enthalpy of the products is higher than the enthalpy of the reactants
Answers
Answer:
An energy change occurs during the breaking and forming of bonds.
Explanation:
Answer:
An energy change occurs during the breaking and forming of bonds.
Explanation:
Energy changes occur when bonds are broken or formed.
When a bond is formed, energy is released.
When a bond is broken, energy is stored.
Edge 2022
Thermochemical Reactions Quiz answer
The human skeleton is made mostly
of hard blank
tissue.
Answers
Rank the gases Ar, N2, CH4, and C₂H6 in order of increasing density at STP.
Answers
Rank the gases Ar, N2, CH4, and C2H6 in order of increasing density at STP.
ans : CH4
Which of the following questions would be answered by performing a scientific experiment?
A.
What type of food is the most enjoyable?
B.
What type of food is the most nutritious?
C.
What type of food looks the best?
Answers
Substances are classified as acidic, basic, or neutral. The pH scale can be used to classify a substance. Which feature suggests that a substance is basic?
a. The pH is greater than 7.
b. The pH is 0.
c. The pH is 7.
d. The pH is less than 7.
Answers
Answer:
a
Explanation:
from pH of 0-6 is acidic and 7 is neutral above 7 is basic or alkali
G identify which substitution product is expected to be favored. explain. the product with retention of configuration is expected to predominate slightly, because the leaving group blocks the nucleophile. the inverted product is expected to predominate slightly, due to sn2 competition. the inverted product is expected to predominate slightly, as a result of ion pairs. the product with retention of configuration is expected to predominate slightly, because the leaving group attracts the nucleophile.
Answers
The substitution product that is supposed to be favoured. The product with retention of configuration is expected to predominate slightly because the leaving group blocks the nucleophile.
What is a substitution product?A substitution product is a product that is gotten from a reaction in which a group of reactants is replaced by another group in the reaction.
Therefore, the substitution product is supposed to be favoured. The product with retention of configuration is expected to predominate slightly because the leaving group blocks the nucleophile.
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Which of the following most accurately describes a regulatory molecule that must be transported to its place of action within the body?
hormone
polypeptide
enzyme
Answers
Answer:
the answer is hormone
Explanation:
because it is
why can't amylase digest other substances?
Answers
Explanation:
saliva contains and amylase which randomly hydrogen all the one is equal to 4 glycosidic bonds of stars except it's out most bones and those next the branches on the hand glycogen being a highly branched molecule it is evident that amylase won't be a good animal eyes to digest it due to physical structure constance
Oxygen forms a number of compounds with sulfur, many of which are quite reactive. One such compound is 57.20 % by mass S . Calculate the number of grams of oxygen present in a sample of this compound that contains 40.00 grams of S . g O
Answers
The number of grams of oxygen present in a sample of this compound that contains 40.00 grams of S = 29.9g of oxygen
Calculation of quantity of OxygenThe compound contains the following:
sulphur = 57.20%
Oxygen= 100 - 57.20 = 42.80%
If 57.20% of the sample contains 40g of sulphur then 42.80% of the sample will contain X.
Make X the subject of formula,
X = 42.8 × 40/57.20
X= 1712/57.20
X= 29.9g of oxygen
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How does gravity depend on the mass of two objects
Answers
Gravity increases as the mass of either object increases.
What is gravity?Gravity is the force by which a planet or other body draws objects toward its centre. The force of gravity keeps all of the planets in orbit around the sun.
Since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force. So as the mass of either object increases, the force of gravitational attraction between them also increases.
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Use the following scenario to calculate the carbon flux in the atmosphere. The amount of carbon that enters the atmosphere through natural processes is 211.6 GtC/yr and the amount that leaves the atmosphere through natural processes in 213.8 GtC/yr. The amount of carbon released by burning fossil fuels is 5.5 GtC/yr. What is the carbon flux in the atmosphere
Answers
The amount of carbon flux in the atmosphere will be 3.3 GtC/yr
Carbon flux calculationThe carbon flux in the atmosphere can be calculated by:
1. Removing the amount of carbon that leaves the atmosphere from the amount that enters the atmosphere.
2. Adding the amount of carbon released by fossil fuel burning.
Thus,
Carbon flux = 211.6 - 213.8 + 5.5 = 3.3 GtC/yr
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The empirical formula for a compound shows the symbols of the elements with subscripts indicating the
Select one:
A) actual numbers of atoms in a molecule.
B)numbers of moles of the compound in 100 grams.
C)smallest whole-number ratio of atoms.
D) atomic masses of each element
Answers
Answer:
smallest whole number ratios of atoms
pls help.
Dr. AT is studying the effect playing music has on plant growth. To do this she sets up three greenhouses each growing pea plants. One of the greenhouses plays classical music to the plants all day, the second greenhouse plays pop music, while the third is silent. All other factors, such as water and sunlight are identical between the three greenhouses. After two weeks, Dr. AT measures each pea plant and records her data. What greenhouse is the control group in this experiment?
A. The silent greenhouse.
B. The pop music greenhouse.
C. The classical music greenhouse.
D. The height of the plants.
Answers
Answer:
c or d
Explanation:
it says it was playing classic music
In this case, the control group or control variable is the greenhouse where the plants are grown in silence, as this group does not receive any music treatment. Therefore, the correct answer is A.
Variables can be defined as any characteristics, number or a quantity that can be measured . It is also called as a data item . It is called as variable because it can vary and can also have wide variety of values.
There are 3 types of variables 1) manipulated variable where the condition is specified, 2) responding variable which is dependent on the manipulated variable 3)controlled variable which does not change.
In this experiment, the control group is the group that does not receive the experimental treatment and serves as a basis for comparison.
Thus, the correct answer is A , the silent greenhouse.
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Convert a speed of 88 m/s to its equivalent in cm/s.
pls help i don’t get it.
Answers
Answer:
8800 cm / s
Explanation:
There are 100 cm / m
so: 88 m/s * 100 cm / m = 8800 cm/s
( see how the 'm' cancels out and you are left with cm /s ?)
Help!!! Will give brainliest to those who have the most accurate answer W/explanation!
Answers
Answer:
See below
Explanation:
Tap water, bottled water and lake water are all examples of FRESH WATER and likely have the same specific gravity ( or density) .
Ocean water is SALT WATER ....and depending on HOW MUCH salt is in the water, it can be quite a bit denser than fresh water ...which will allow the golf ball ( which is less dense) to float .
Why did potato chunks a, b, and c gain mass here?
Answers
The most likely reason why the potato chunks gained mass is that water entered the potato cells.
How does water enter potato cells?The process of Osmosis allows water to pass through the semi-permeable membrane of potato cells.
This happens when the potato cells have less water than the material around them which then leads to water entering the cells to balance the water concentration.
The potato cells will expand and have more mass as a result.
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You might also want to challenge other commonly accepted green ideas or the impact of the various green activities . For example , what is the relative impact of these green measures ? What mass of carbon do these various common activities use up ?
1. Washing clothes at 300 degrees instead of 400 .
2. Shutting your computer down every night .
3. Using low - energy light bulbs instead of regular light bulbs ..
4. Switching off television instead of leaving it on standby .
5. Boiling only 1 cup of water at a time , instead of a whole kettle .
Answers
2)A complete desktop uses an average of 200 Watt hours (Wh). This is the sum of the average consumption per hour of the computer itself (171 W), the internet modem (10 W), the printer (5 W) and the loudspeakers (20 W). Assuming that a computer is on for eight hours a day, the annual consumption comes to 600 kWh. That corresponds to CO2 emissions of about 175 kg per year, i.e. 1.75 % of the average annual emission of a Belgian.
Which of the following is the correct balanced equation for the reaction in which methane (CH4) burns in atmospheric oxygen (0₂) to make carbon dioxide and water vapor?
Answers
Answer: [tex]\text{CH}_{4}+2\text{O}_{2} \longrightarrow \text{CO}_{2}+2\text{H}_{2}\text{O}[/tex]
Explanation:
The unbalanced equation is
[tex]\text{CH}_{4}+\text{O}_{2} \longrightarrow \text{CO}_{2}+\text{H}_{2}\text{O}[/tex]
Balancing this equation, we get:
[tex]\boxed{\text{CH}_{4}+2\text{O}_{2} \longrightarrow \text{CO}_{2}+2\text{H}_{2}\text{O}}[/tex]