this question is related to set of equations,
The vertex of f(x) = (x-6)(x+2) is as follows:-
For any equation of the type y = ax^2 + bx + c, the vertex is given by (h, k).
Where, h = -b/2a and k = (4ac - b^2)/4a.
Given, the equation is f(x) = (x - 6)(x + 2)
f(x) = x^2 - 6x + 2x - 12
f(x) = x^2 - 4x - 12
Here, a = 1, b = -4 and c = -12
so, h = -(-4)/2(1)
h = 4/2
h = 2
4ac = 4(1)(-12)
4ac = -48
So, k = [-48 - (-4)^2]/4(1)
k = (-48 - 16)/4
k = -64/4
k = -16
Therefore, the vertex is (h, k) = (2, -16).
so, the vertex of f(x)= (x-6)(x+2) is (2, -16).
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The pH of a solution is 9.67. Calculate [H+] for the solution
Answer:
2.14 x 10^-10 M
Explanation:
[H+] = 10^(-pH) = 10^-9.67 = 2.14 x 10^-10 M
9. Circle the atom in each pair that has the greater ionization energy.
A) Li or Be
B) Ca or Ba
C) Na or K
D) P or Ar
E) Cl or Si
F) Li or K
A) Be
B) Ca
C) Na
D) Ar
E) Cl
F) Li
This question simply deals with ionization energy trends across the periodic table or down the group.
Ionization energy is the energy that is needed to remove an electron from its orbital around an atom in such a manner that it will no longer be associated with that same atom.
Now, from studies, it has been found that Ionization energy decreases down a group but it tends to increase as we go from the left to right going across the periodic table.
A) Li(Lithium) and Be(Berrylium) belong to the same period which is period 2 on the periodic table. Berrylium comes after berrylium in that period and as such from the rule earlier, berrylium will have the greater ionization energy.
B) Ca(Calcium) and Ba(Barium) belong to the same group 2 in the periodic table with barium further down the group. Thus, from the trend, Ca(Calcium) will have the greater ionization energy.
C) Na(Sodium) and K(Potassium) belong to the same group 1 in the periodic table with potassium further down the group. Thus, from the trend, Na(Sodium) will have the greater ionization energy.
D) P(Phosphorus) and Ar(Argon) belong to the same period which is period 3 on the periodic table. Argon comes after Phosphorus in that period and as such from the rule earlier, argon will have the greater ionization energy.
E) Cl(Chlorine) and Si(Silicon) belong to the same period which is period 3 on the periodic table. Cl(Chlorine) comes after Si(Silicon) in that period and as such from the rule earlier, Cl(Chlorine) will have the greater ionization energy.
F) Li(Lithium) and K(Potassium) belong to the same group 1 in the periodic table with potassium further down the group. Thus, from the trend, Li(Lithium) will have the greater ionization energy.
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What properties can be used to identify puree substances?
Explanation:
1 it easily won't break down using any chemical
2 it is difficult to extract it using chemical process
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i need to write a brief paragraph on why this lab is important, please help!! here is the question!
How can the properties of acids and bases be used to classify solutions?
Answer:
Acids and bases aqueous solutions will conduct electricity because they contain dissolved ions. Therefore acids and bases are electrolytes. strong acids and bases will be electrolytes. weak acids and bases will be weak electrolytes.
A projectile is projected with an initial velocity of 40 m/s at a 45o angle to the horizontal. , calculate the total time travelled.
Answer:
5.77 s
Explanation:
From the question,
The total time travelled by the projectile = Time of flight (T)
T = 2usinθ/g............ Equation 1
Where T = Time of Flight of the projectile, u = Initial velocity, θ = Angle of projection to the horizontal, g = acceleration due to gravity
Given: u = 40 m/s, θ = 45°
Constant: g = 9.8 m/s²
Substitute these values into equation 1
T = 2(40)sin(45°)/9.8
T = 80sin(45°)/9.8
T = 80×0.7071/9.8
T = 5.77 s
The initial pressure of 0.31 moles of gas in a drum is 742 torr. If gas is added to the drum and the final pressure is 759 torr, how many moles of gas are in the drum? Hint: for this problem, you do not have an equation in the Introduction section, but based on the relationship between pressure and volume, what can you determine about the relationship between pressure and the number of moles?
Answer:
0.3171 moles
Explanation:
The computation of the number of moles of gas in the drum is shown below;
The ideal gas equation is
PV = nRT
where
P denotes the pressure of the gas
V denotes the volume of the container
n denotes the number of moles of gas
R denotes the Gas constant
T denotes the temperature
Also P proportionate to n
Now the following formula should be used
P_1 ÷ P_2 = n_1 ÷ n_2
742 ÷ 759 = 0.31 ÷ n_2
n_2 = 759 × 0.31 ÷742
= 0.3171 moles
What volume of DI water, in mL, must you use to dissolve 30.0 g of NaOH in order to make a 1.25 M solution? mL (round to whole number)
Answer:
600mL
Explanation:
Molarity of a solution (M) = number of moles (n) ÷ volume (V)
number of moles = mass/molar mass
Molar mass of NaOH = 23 + 16 + 1
= 40g/mol
mole = 30/40
n of NaOH = 0.75mol
Using Molarity = n/V
V = number of moles ÷ molarity
V = 0.75 ÷ 1.25
V = 0.6L
In milliliters (mL), the volume of NaOH will be 0.6 × 1000
= 600mL
What is the pH of a 4.7 x 10-9 M HCl solution? *
4.67
8.33
11.21
2.93
All of the facts about our star the Sun listed below are true EXCEPT which option?
A. the sun is the smallest object in our Solar System.
B. the sun is an average-sized yellow star.
C. the sun is located in an arm of the spiral shaped Milky Way galaxy.
D. the sun appears brighter because it is much closer to Earth than other stars
Answer:
A
Explanation:
The sun is the smallest object in our solar system
Answer:
A. the sun is the smallest object in our solar system
Explanation:
In 2009, the Hubble Space Telescope discovered the smallest object ever seen in visible light at the time within the Kuiper Belt. The Kuiper Belt Object (KBO) found was a mere 3,200 feet (975 meters) across and was 4.2 billion miles away.
What is the average speed of a race car if it travelled a total of 500 miles in 3.5 hours
Answer:
speed = 142.8571 miles per hour OR 142.8571 mi/h
Explanation:
speed= [tex]\frac{distance}{time}[/tex]
distance = 500, time = 3.5hours or 210 minutes
speed= [tex]\frac{500}{210}[/tex] = 142.8571
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According to the diagram above, when the north end of the Earth’s axis is tilted toward the sun, explain the suns effect on the North America.
A. North America will experience more indirect rays and shorter days
B. North America will experience more indirect rays and longer days.
C. North America will experience more direct rays and shorter days
D. North America will experience more direct rays and longer days.
Answer:
the answer is D
Explanation:
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a 1.4g sample of pure gas occupies a volume of 981 mL at 42°C and 117 kPa. Determine the molar mass of the compound.
Answer:
51 g/mol. Explanation: Whenever you see molar masses in gas law questions, more often than not density will be involved.
17. When you hold a soda can in your hand, you possess trillions and trillions of aluminum atoms. In one paragraph, using
your own words, explain how ions of aluminum atoms would generally interact based on their charges, and how that
interaction is overcome through metallic bonding to form the can that you hold.
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In the early 1900's, Paul Drüde came up with the "sea of electrons" metallic bonding theory by modeling metals as a mixture of atomic cores (atomic cores = positive nuclei + inner shell of electrons) and valence electrons. Metallic bonds occur among metal atoms. Whereas ionic bonds join metals to non-metals, metallic bonding joins a bulk of metal atoms. A sheet of aluminum foil and a copper wire are both places where you can see metallic bonding in action.
Metals tend to have high melting points and boiling points suggesting strong bonds between the atoms. Even a soft metal like sodium (melting point 97.8°C) melts at a considerably higher temperature than the element (neon) which precedes it in the Periodic Table. Sodium has the electronic structure 1s22s22p63s1. When sodium atoms come together, the electron in the 3s atomic orbital of one sodium atom shares space with the corresponding electron on a neighboring atom to form a molecular orbital - in much the same sort of way that a covalent bond is formed.
The difference, however, is that each sodium atom is being touched by eight other sodium atoms - and the sharing occurs between the central atom and the 3s orbitals on all of the eight other atoms. Each of these eight is in turn being touched by eight sodium atoms, which in turn are touched by eight atoms - and so on and so on, until you have taken in all the atoms in that lump of sodium. All of the 3s orbitals on all of the atoms overlap to give a vast number of molecular orbitals that extend over the whole piece of metal. There have to be huge numbers of molecular orbitals, of course, because any orbital can only hold two electrons.
The electrons can move freely within these molecular orbitals, and so each electron becomes detached from its parent atom. The electrons are said to be delocalized. The metal is held together by the strong forces of attraction between the positive nuclei and the delocalized electrons Hope this helped
I NEED HELP ASAP!! What is the difference between the experimental group and a control group?
I believe the control group is what doesn't change in the experiment, and the experimental group is what is being tested / receives the treatment :)
please help im so bad at science
a.bond energy
c. endothermic reaction
d. exothermic reaction
f.exothermic
g.endothermic
PLEASE PLEASE PLEASE HELP:
An unknown material has 389 J of heat energy added to it. If its specific heat capacity is 0.371 J/g*C and 58 g were affected, what was the temperature increase?
3 of 12
Assessment: Force and Motion CBA
Four students recorded the time it took them to walk to school from their homes as shown in the table
below.
Student
1
2
3
Motion of Four Students
Distance (meters) Time (minutes)
1,100
20
1,026
19
848
16
795
15
4
Which student had the greatest average speed?
Student 1
Student 2
Student 3
Student 4
1
2
3
4
5
6
7
8
9
10
Next
At what temperature would the volume of a gas be 0.550 L if it had a volume of 0.432 L at –20.0°C? Be careful! This is not in the correct units for temperature.
Answer:
49.2°C is the temperature
Explanation:
Based on Charles's law, the absolute temperature of a gas is directly proportional to the volume under constant pressure. The equation is:
V1 / T1 = V2 / T2
Where V is volume and T is absolute temperature of 1, initial state and 2, final state of the gas.
Computing the values of the problem:
V1 = 0.432L
T1 = -20.0°C + 273.15K = 253.15K
V2 = 0.550L
T2 = ?
0.432L / 253.15K = 0.550L / T2
322.3K = T2
322.3K - 273.15 =
49.2°C is the temperaturewhich gas would diffuse rapidly at the same temperature and pressure UF6 or CL2
Answer:
UF6
Explanation:
When mechanical energy is transformed,
A.
potential energy remains unchanged.
B.
heat is given off.
C.
kinetic energy remains unchanged.
D.
friction is encountered.
Answer:
kinetic energy remains unchanged
Which of the following is true of all stars? A) they produce energy and radiation B) they have about the same temperature c) they are generally the same size and color D) they produce energy for the same length of time
Answer:
A)
Explanation:
All stars produce some type of energy and radiation. But stars vary in temperature, size, color, and the length of energy they produce.
In q = mCΔT, what does C stand for?
Answer:
The symbol c stands for specific heat and depends on the material and phase. The specific heat is the amount of heat necessary to change the temperature of 1.00 kg of mass by 1.00ºC.
A basketball inflated to a pressure of 2.25 atm is increased in temperature from 275 K to 317 K.What will be the new pressure, in torr, if the volume remains constant?
Answer:
[tex]P_2=1971.2torr[/tex]
Explanation:
Hello there!
In this case, by recalling the Gay-Lussac's gas law, as a directly proportional relationship between pressure and temperature, we can write:
[tex]\frac{P_2}{T_2} =\frac{P_1}{T_1}[/tex]
Thus, by solving for the required final pressure, in atmospheres first, we solve for P2 as follows:
[tex]P_2 =\frac{P_1T_2}{T_1}\\\\P_2=\frac{2.25atm*317K}{275K}\\\\P_2=2.59atm[/tex]
Which in Torricelli is:
[tex]P_2=2.59atm *\frac{760torr}{1atm}\\\\P_2=1971.2torr[/tex]
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I need help answer with right answer
Answer:
I think it would be D
Explanation:
define the term pure substance
Answer:
Pure substances are substances that are made up of only one kind of particles and has a fixed or constant structure. Pure substances are further classified as elements and compounds. An element is a substance that consists of only one type or kind of atom
Answer:
define the term pure substance :
A pure substance does not have to be of a single element or compound, This can either be one single element or one single compound, but every sample of this substance that you examine must contain exactly the same thing with a fixed, definite set of properties
Explanation:
What is the percent composition of water found in tin (IV) oxide octahydrate?
Answer:
tin (IV) oxide octahydrate contains 8 part water
What is the percent composition of water found in tin (IV) oxide octahydrate?
Albino trees exist in nature, but they’re rare. These trees contain a gene mutation that causes them to lack chlorophyll, so their leaves are white. In California, albino redwood trees are parasites. They survive off the energy from nearby redwood trees. Why do you think they need to use energy from other trees to survive?
Answer:
They need to use energy from other tress to survive so that they can do basic functions, like absorbing nutrients from the ground, and growing back leaves. They don't have chlorophyll, so they need that energy to do the functions I mentioned above.
Explanation: Hope this helps!
Answer:
Trees need chlorophyll to make energy. Because albino trees don’t have chlorophyll, they can’t create their own energy. So, they must take energy from other trees to survive.
Explanation:
Blood is made up of red and white blood cells, platelets and ______.
Find the interquartile range
blood is made up of red and white blood cells, platelets and plasma
How many Joules are required to heat 40g of water from 13°C to 40°C?
J
Answer: 1080
Explanation:
you have to subtract 40 from 13 frist then multiply the remins of the temeture with 40 and your answer is 1080
Question :What's oxidation?
Answer:
The process or result of oxidizing or being oxidized.(Rust)
Explanation:
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