Answers
Answer:
C. x⁴ + 6·x³ - 12·x - 72
Explanation:
The given functions are;
[tex]f(x) =\sqrt{x^2 + 12 \cdot x + 36}[/tex]
g(x) = x³ -12
We have that [tex]f(x) =\sqrt{x^2 + 12 \cdot x + 36}[/tex] = [tex]f(x) =\sqrt{(x + 6)^2}[/tex] = (x + 6)
Therefore;
f(x)·g(x) = [tex]\sqrt{x^2 + 12 \cdot x + 36}[/tex] × (x³ - 12) = (x + 6) × (x³ - 12)
(x + 6) × (x³ - 12) = x⁴ - 12·x + 6·x³ - 72 = x⁴ + 6·x³ - 12·x - 72
∴ f(x)·g(x) = [tex]\sqrt{x^2 + 12 \cdot x + 36}[/tex] × (x³ - 12) = x⁴ + 6·x³ - 12·x - 72
Related Questions
Find the mass in grams of 15.00 moles of AICI:
Answers
Answer:
937.5g
Explanation:
No of moles = mass ÷ molar mass
According to this question, there are 15moles of the compound; AlCl
Molar mass of AlCl = 27 + 35.5
= 62.5g/mol
Using n = m/M.M
15 = m/62.5
m = 15 × 62.5
m = 937.5g
a que llamamos niveles y subniveles de energia?
Answers
Answer:
agua
Explanation:
por que estamos en la planeta
Write a Lewis structure that obeys the octet rule for each molecule or ion. Include resonance structures if necessary and assign formal charges to each atom.
Answers
Answer:
A structure that obeys the octet rule for each molecule or ion is [tex]XeO_4[/tex]
Explanation:
Here in [tex]XeO_4[/tex] , Xenon has 8 valence electrons and each oxygen atom has 6 valence electrons
Lewis structure for [tex]XeO_4[/tex] is shown below :
Here , all atoms are having their complete octet .
All the atoms in this Lewis structure is having their complete octet .
Resonance structure is not required as all atoms are same that is oxygen .
Which statement about biogeochemical cycles is true?
O A. Plants are a part of the nitrogen and carbon cycles, but not the
water cycle.
O B. Plants are a part of the nitrogen, carbon, and water cycles.
O c. Plants are a part of the water and carbon cycles, but not the
nitrogen cycle.
D. Plants are a part
carbon cycle.
the water and nitrogen cycles, but not the
Answers
Answer: The answer is D:
Answer:
The answer is Option D
what is a saturted solution
Answers
Answer:
Please find the definition and further explanation below
Explanation:
Based on the ability for the solvent (liquid substance) to dissolve a solute (solid substance), a solution can either be unsaturated, saturated or supersaturated. A SATURATED SOLUTION is that which contains the maximum amount of solute a solvent can possibly dissolve.
In other words, a saturated solution can no longer dissolve anymore solute, and hence, any further solute added forms crystals or makes the solution supersaturated.
The weak base ionization
constant (Kb) for Clois
equal to:
A
B
[CIO-][H30+)
[HOCI]
[HCIO][OH-]
[CIO-]
Answers
Answer:
The answer would be [HCIO][OH-]
_________
[CIO-]
Explanation:
So, the answer would be (b).
The carbonyl carbon in a ketone is attacked primarily by the peroxy oxygen bonded to hydrogen as opposed to the peroxy oxygen bonded to carbon because:
Answers
Answer:
This is because peroxy oxygen bonded to hydrogen can easily undergo nucleophilic protonation with the carbonyl carbon to form an alcohol
Explanation:
A ketone is a functional group that contains a carbonyl group (carbon-oxygen double bond ( R1R2-C=O).
The carbonyl carbon doubly bonded to the oxygen is electron deficient as a result of difference in electronegativity between carbon and oxygen, hence is susceptible to nucleophilic attacks
R1R2 - C = O
where R1 and R2 are organic substituents.
The peroxy oxygen that is bonded to hydrogen (H -O-O-R) is the electron-rich centre and easily attacks electron-deficient centres like the carbonyl carbon in ketones to form an alcohol.
The bond between the hydrogen attached to the peroxy oxygen is broken and the resultant hydrogen ion undergoes protonation with the oxygen of the carbonyl group to form an alcohol
R1R2 - C = O + H - O-O - R =>
R1R2- CH - OH + R - O-O-R1
if sneezing is the response to smelling food is it conditioned or unconditioned
Answers
Answer:
i think its unconditioned response.hope it helpsstay safe healthy and happy.At a recycling plant, old tin cans are melted down and reconstructed. This is an example of a ___________.
Answers
Why is the charge on a charged sphere distributed uniformly over its surface?
-Similar charges seek to be the minimum distance possible from each other.
-Opposite charges seek to be the maximum distance possible from each other.
-Similar charges seek to be the maximum distance possible from each other.
-None of the above
Answers
Answer:
Similar charges seek to be the maximum distance possible from each other
Explanation:
On a charged sphere, there are like charges and these like charges are repelled by each other to the far ends of the sphere. Hence they are distributed uniformly in the sphere.
How do you think you results would be affected if using K2Cr2O7/H2SO4 as the oxidizing agent instead of KMnO4
Answers
Answer:
Due to weak oxidizing agent.
Explanation:
In my opinion the results would be affected if using K2Cr2O7/H2SO4 as the oxidizing agent instead of KMnO4 because K2Cr2O7/H2SO4 is weak oxidizing agent as compared to KMnO4. An oxidizing agent is a substance that has the ability to oxidize other substances means that accept their electrons so that's why the results of strong oxidizing agent is different than weak oxidizing agent.
The results of the reaction will be affected due to the difference in :
Oxidizing agent strength
The use of K₂Cr₂O7 / H₂SO₄ which is weaker oxidizing agent in the reaction will produce a different result from the use of KmnO₄ which is a stronger oxidizing agent.
This is because stronger oxidizing agents in reaction readily accept electrons from reactants while weaker oxidizing agents do not readily accept electrons from substances reacting in the reaction.
Therefore we can conclude that The results of the reaction will be affected due to the difference in oxidizing agent strength
Learn more : https://brainly.com/question/16450420
Although your question is incomplete a general solution is provide within the scope of your question
As Danny was pouring cereal for his breakfast, he noticed that the cereal box says that the cereal contains 5 milligrams of iron per serving. Danny decided to perform an experiment to test this claim. He found that the cereal contains 4.6 milligrams of iron per serving. Based on Danny's measurement, the value reported on the label is because .
Answers
The question is incomplete, the complete question is;
As Danny was pouring cereal for his breakfast, he noticed that the cereal box says that the cereal contains 5 milligrams of iron per serving. Danny decided to perform an experiment to test this claim. He found that the cereal contains 4.6 milligrams of iron per serving. Based on Danny's measurement, the value reported on the label is ( CORRECT OR INCCORECT) because A: (IT IS DIFFERENT FROM THE VALUE DANNY MEASURED) B: (IT IS REORTED TO THE NEAREST MILLIGRAM) C: (IT USES THE SAME UNITS THAT DANNY USED).
Answer:
CORRECT because IT IS REORTED TO THE NEAREST MILLIGRAM
Explanation:
In mathematics, values may be rounded up or down as required. In the case of this measurement of cereals by Danny, it is customary to measure the amount of iron per serving to the nearest milligram.
As such, even though Danny found out that the actual amount of iron per serving in the cereal is 4.6 milligrams, the value reported on the cereal box is still correct because it was reported to the nearest milligram hence the value had to be rounded up.
The bottle slides down the hill and is moving at a velocity of 14 meters/second the instant it hits the ground. The vertical height from where Jeff dropped the bottle is meters. Ignore friction, and use , PE = m × g × h, and g = 9.8 m/s2.
Answers
Answer:
10 m
Explanation:
From the question given above, the following data were obtained:
Velocity (v) = 14 m/s
Acceleration due to gravity (g) = 9.8 m/s²
Height (h) =?
Next, we shall determine the energy. This can be obtained as follow:
Velocity (v) = 14 m/s
Kinetic Energy (KE) =?
KE = ½mv²
KE = ½ × m × 14²
KE = ½ × m × 196
KE = m × 98
Finally, we shall determine the height. This can be obtained as follow:
Kinetic energy (KE) = m × 98
Acceleration due to gravity (g) = 9.8 m/s²
Height (h) =?
Since the object is falling from a particular height,
Potential energy (PE) = kinetic energy (KE)
PE = mgh
KE = m × 98
m × 9.8 × h = m × 98
Divide both side by m × 9.8
h = m × 98 / m × 9.8
h = 10 m
Thus, the bottle was dropped from a height of 10 m
PLS HELP!!
Compare and contrast an electrolytic cell with a voltaic cell. Provide one example where both are present in daily life.
Answers
Answer:
See explanation
Explanation:
An electrolytic cell functions by a non spontaneous chemical process. Energy is supplied in the form of electricity through a battery to drive the electrochemical process.
A voltaic cell functions by a spontaneous chemical process. Energy or work can be derived from a voltaic cell.
When iron is rusting, a natural voltaic cell is set and the iron is converted to hydrated iron III hydroxide. The set up used for the extraction of sodium metal from brine functions on the basis of electrolysis.
How many moles of atoms does H2O
Answers
True or false, If an atom is charged negative, it contains more electrons than protons.
Answers
Answer:
True
Explanation:
An atom would carry more protons if positively charged, an equal amount of both protons and electrons if neutral, and more electrons if charged negative.
How to identify polar molecules
Answers
Answer:
Polar molecules occur when there is an electronegativity difference between the bonded atoms. Nonpolar molecules occur when electrons are shared equal between atoms of a diatomic molecule or when polar bonds in a larger molecule cancel each other out
Explanation:
what is the formula of silver sulphate
Answers
Answer:
Ag2SO4
Explanation:
For a reaction, AH = 176 kJ/mol and A SO = 0.285 kJ/(K•mol). At what
temperatures is this reaction spontaneous?
A. At no temperature
B. T< 50 K
C. T> 617 K
D. T< 617K
Answers
The molecule that functions as the reducing agent (electron donor) in a redox or oxidation-reduction reaction _____.
Answers
As a pure element the oxidation number of zinc is ________, but in compounds such as ZnCO3 its oxidation number is ________. Group of answer choices
Answers
Answer:
0, +2
Explanation:
As a pure element, any element or simple compound has an oxidation number of 0. This makes it a lot easier, and can be applied for almost any element or compound that uses one atom, like F2, O3, Zn, Fe, etc. However, in compounds, Zinc's oxidation number tends to be +2, and this is just a rule that I memorized when I learned this topic. Please let me know if you still need help and I hope you understood!
As a pure element, the oxidation number of zinc is zero, but in compounds such as [tex]ZnCO_3\\[/tex] its oxidation number is +2.
What is the oxidation number?Oxidation number also called oxidation state, is the total number of electrons that an atom either gains or loses in order to form a chemical bond with another atom.
As a pure element, any element or simple compound has an oxidation number of 0. This makes it a lot easier and can be applied for almost any element or compound that uses one atom, like [tex]F_2[/tex], [tex]O_3[/tex], Zn, Fe, etc.
However, in compounds, Zinc's oxidation number tends to be +2.
Learn more about the oxidation number here:
https://brainly.com/question/10079361
#SPJ2
Which of the following elements has three valence electrons? (2 points)
Li
C
Al
Mg
Answers
Answer:
Al
Explanation:
It has 3.
PLEASE HELP
Which of the following correctly orders the types of radiation from the LONGEST wavelength to the SHORTEST wavelength?
A. Green Visible Light, Red Visible Light, Blue Visible Light, Ultraviolet
B. Microwave, Orange Visible Light, Ultraviolet, Violet Visible Light
C. Red Visible Light, Infrared, Microwaves, Radio waves
D. Microwave, Blue Visible Light, Ultraviolet, Gamma
Answers
Answer:
D. Microwave, Blue Visible Light, Ultraviolet, Gamma
Explanation:
colors longest to shortest are
red green blue violet
longest wavelength to shortest:
radio waves, microwaves, infrared, optical, ultraviolet, X-rays, and gamma-rays.
Na3N decomposes to form sodium and nitrogen gas at STP. If 13.7 L of nitrogen is produced
how many moles of Na3N was used? (22.4 L = 1 mole of any gas)
2Na3N --> 6Na + N2
Answers
Answer: 1.224 moles of [tex]Na_3N[/tex] were used.
Explanation:
We are given:
Volume of nitrogen gas produced = 13.7 L
At STP conditions:
22.4 L of volume is occupied by 1 mole of a gas
Applying unitary method:
13.7 L of nitrogen gas will be occupied by = [tex]\frac{1mol}{22.4L}\times 13.7L=0.612mol[/tex]
For the given chemical reaction:
[tex]2Na_3N\rightarrow 6Na+N_2[/tex]
By Stoichiometry of the reaction:
1 mole of nitrogen gas is produced by 2 mole of [tex]Na_3N[/tex]
So, 0.612 moles of nitrogen gas will be produced from = [tex]\frac{2}{1}\times 0.612=1.224mol[/tex] of [tex]Na_3N[/tex]
Hence, 1.224 moles of [tex]Na_3N[/tex] were used.
The mass of a boy is 60 kg. Calculate his weight if the value of g is 9.8 ms2
Answers
Answer:
Weight = mass × gravitational
Weight = 60 kg × 9.8 ms²
= 588 N
Explanation:
hope it helps
Weight of the boy = Mass of the boy × g
= 60 × 9.8
= 588kgm/s²
= 588N
Diego is trying to lift a piano to the second floor of his house. Diego uses a pulley system and gives a big lift to the piano.The piano moves upward, then stops, and then it starts to fall to the ground. (The direction of the force of gravity is negative.) Which list best describes the forces on the piano in the proper order
Answers
Answer:
positive force → balanced force → negative force
Explanation:
np
Answer:
positive force → balanced force → negative force
Explanation:
:)))
Help me please guys
Answers
Answer:
D. 2
Explanation:
On the right side of the equation:
Al has 1, Zn has 3, NO3 has 6
But on the left side:
Al has 1, Zn has 1, NO3 has 3
1. So, if we add a coefficient of 2 to Al(NO3)3, then NO3 now has 6-which is what it needs.
2. But now the Al on the right side of the equation is not balanced, so give it a coefficient of 2.
3. To make the Zn balance, just add a coefficient of 3 on the left side of the equation.
Which leaves us with:
2Al + 3Zn(NO3)2 --> 2Al(NO3)3 + 3Zn
And now there are the same number of each compound on both sides of the equation.
Good luck! If you have any questions on this answer leave a comment :)
Amino acids that must be obtained through the diet are called O A) cholesterol. OB) non-essential amino acids. o C) essential amino acids. The OD) peptides.
Answers
Answer:
I belive C: essential amino acids
Explanation:
They can t be made from the body so they must be obtained my food
The electrolysis of water forms H2 and O2. 2H2O Right arrow. 2H2 O2 What is the percent yield of O2 if 10.2 g of O2 is produced from the decomposition of 17.0 g of H2O
Answers
Answer:
67.5%
Explanation:
Step 1: Write the balanced equation for the electrolysis of water
2 H₂O ⇒ 2 H₂ + O₂
Step 2: Calculate the theoretical yield of O₂ from 17.0 g of H₂O
According to the balanced equation, the mass ratio of H₂O to O₂ is 36.04:32.00.
17.0 g H₂O × 32.00 g O₂/36.04 g H₂O = 15.1 g O₂
Step 3: Calculate the percent yield of O₂
Given the experimental yield of O₂ is 10.2 g, we can calculate its percent yield using the following expression.
%yield = (exp yield / theoret yield) × 100%
%yield = (10.2 g / 15.1 g) × 100% = 67.5%
How does the alcohol enter the body? Describe the process. Where does most of the absorption take place?
Answers
Explanation: Once swallowed, a drink enters the stomach and small intestine, where small blood vessels carry it to the bloodstream. Approximately 20% of alcohol is absorbed through the stomach and most of the remaining 80% is absorbed through the small intestine.
