Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 + 7x – 14 6x2 (x – 2) + 7(x – 2) which is the completely factored form of his polynomial? (6x2 + 7) (x –2) (6x2 – 2) (x +7) (6x2 + 2) (x – 7) (6x2 – 7) (x + 2)
The completely factored form of his polynomial 6x³ - 12x² + 7x - 14 Wen factored is (x-2) ( 6x² + 7)
How to factorise a polynomial6x³ - 12x² + 7x - 14
= 6x² (x - 2) + 7(x - 2)
Factor out the term (x-2) form each term6x²(x – 2) + 7(x – 2)
= (x-2) ( 6x² + 7)
Therefore, the completely factored form of his polynomial is (x-2) ( 6x² + 7)
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Answer:
Answer is A
Explanation:
4-4 skills practice parallel and perpendicular lines
An example of parallel and perpendicular lines are the steps walk of a straight ladder, the opposite sides of a rectangle.
How do you find parallel and perpendicular lines?When there are two non vertical lines that are in found to be in the same plane such as the same slope, then a person can say that the lines are parallel.
But when two non-vertical lines in that are same to be of the same plane intersect at a right angle one can therefore say that they are perpendicular lines.
An example is "write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation". The equation that fits the graph (attached) is y = 2x + 1.
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A longitudinal wave is observed to be moving along a slinky
Explanation:
A longitudinal wave is composed of compressions and rarefactions. An example of a lomgitudinal wave is sound waves. It's a type of wave thay moves parrelel to axis.
which of the following best predicts the results of a drought in the savanna research area with regards to community resilience to this environmental change?
A probable prediction is that the grazed area will recover faster from drought due to greater biodiversity.
What is biodiversity?Biodiversity refers to the variation (both phenotypic and genetic) present in a community and/or population.
Biodiversity is a fundamental issue for achieving ecosystem restoration after natural catastrophes.
In this case, drought is an environmental challenge that is more easily faced in presence of suitable levels of biodiversity.
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For long-lived assets that have been in use for more than one accounting period, depreciation expense on the ______ accumulated depreciation on the ______.
Answer:
For long-lived assets that have been in use for more than one accounting period, Depreciation Expense on the debit. Accumulated Depreciation on the credit.
Explanation:
Therefore, the entry that was made by the accountant, assets and stockholders' equity will be decreased.
For long-lived assets that have been in use for more than one accounting period, Depreciation Expense on the income statement will be less than Accumulated Depreciation on the balanced sheet. The correct option is 2.
Depreciation expense is shown on the Income Statement for long-lived assets that have been in use for more than one accounting period, while accumulated depreciation is reported on the Balance Sheet.
The part of an asset's cost that is spread out as an expense over its useful life is represented by depreciation expense.
It is deducted from the company's net income for the accounting period and reported as an operational expense on the income statement.
Thus, depreciation expense is shown as an expense on the income statement, which lowers net income, while accumulated depreciation is shown as an asset's carrying value on the balance sheet. The correct option is 2.
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Your question seems incomplete, the probable complete question is:
For long-lived assets that have been in use for more than one accounting period, Depreciation Expense on the ______ Accumulated Depreciation on the ______.
balance sheet will be less than; income statementincome statement will be less than; balance sheetincome statement will be greater than; balance sheetincome statement will be equal to; balance sheetbalance sheet will be equal to; income statementbalance sheet will be greater than; income statementUse the square root property to solve each equation, if possible.
Answer:
To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.
A book has a mass of 400g the surface of the book in contact
Answer:
The pressure exerted on the table due to the book is 200 N/m².
Explanation:
The pressure exerted on the table due to the book is 200 N/m².
The given parameters;
mass of the book, m = 400 g = 0.4 kg
dimension of the table, = 0.10m x 0.20 m.
gravitational field strength g = 10 N/kg.
The area of the table is calculated as follows;
A = 0.1 x 0.2 = 0.02 m²
The pressure exerted on the table due to the book is calculated as follows; where;
F is the force of the book due to its weight
Thus, the pressure exerted on the table due to the book is 200 N/m².
A powdered mix can be transformed into a cool jiggly salad or dessert
A powdered mix being transformed into a cool jiggly salad or dessert is True.
What is a Powdered mix?Thus is defined as a processed-food product which is usually in the form of powder for consumption.
The powdered form can be used to make a variety of food such as salad and dessert thereby making True the most appropriate choice.
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12.2 geometric sequences evaluate homework and practice answers
Geometric Series is known to be the exact sum of the terms of a geometric sequence. Its practice work example is given below:
Find the stated term of Given of the Geometric sequence -3, -6, -12, -24 ...9th term.What is Geometric Means?This is known to be the terms that exist between two nonconsecutive terms that belongs to a geometric sequence.
The Method to used in the above question is Geometric sequence.
The Rule of geometric sequence is that f (n)arⁿ⁻¹
Where A = the first term,
r = the common ratio
Therefore, r = -6 ÷ -3 = 2n
f (n) = -3. 2ⁿ⁻¹
Then you change the term n with 9
f (9) = 3.2⁹⁻¹
= -768
Therefore, the the stated term is 768.
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A rod is laid out along the x-axis with one end at the origin and the other end at x = l. the linear density is given by the following: rho(x) = rho0+(rho1-rho0)(x/l)2, where rho0 and rho1 are constant values.
The center of mass of the rod of length L whose mass density changes from one end to the other quadratically is; X_cm = ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)
What is the center of mass?The formula for the center of mass of a body is defined as;
X_cm = (1/M) ∫r.dm
Where;
X_cm is the position of the center of mass
M is the total mass of the body
r is the position with respect to an origin
The density of a body is the relationship between two of its magnitudes that change constantly and so we have;
ρ = m/x
Applying small changes and we have;
ρ = dm / dx
dm = ρ*dx
We are given the expression;
ρ₀ = ρ₀ + (ρ₁ -ρ₀) (x/L)²
Thus;
dm = (ρ₀ + (ρ₁ -ρ₀) (x/L)²)dx
Since the whole system is on the x-axis, we integrate from the initial point x = 0 to the upper limit X = L. This gives;
X_cm = M⁻¹ ∫ x [ρ₀ + ( ρ₁-ρ₀) (x/L)²] dx
X_cm = M⁻¹ [∫ ρ₀ x dx + I (ρ₁-ρ₀) / L² x³ dx]
X_cm = M⁻¹ [ρ₀ x²/ + (ρ₁ -ρ₀) / L² x⁴/4]
X_cm = M⁻¹ [ρ₀/2 (L2-0) + (ρ₀₁ -ρ₀) /4L² (L⁴-0)
X_cm = M⁻¹ [ρ₀ L²/2 + (ρ₁ -ρ₀)/4 L²]
X_cm = M⁻¹ L² [ρ₀/4 + ρ₁/4]
X_cm = M⁻¹ L²/4 ( ρ₀ +ρ₁)
The only parameter that we don't know explicitly is the total mass, but we can look for their relationship using the concept of density.
M = ∫dm = ∫ρ.dx
M = ∫[ρ₀ + (ρ₁ -ρ₀)/L²x²] dx
We integrate between the limits of integration x = 0 and x = L to get;
M = ρ₀ x + (ρ₁ -ρ₀)/L² *x³/3
M = ρ₀ L + (ρ₁ -ρ₀)/3L² L³
M = ρ₀ L + (ρ₁-ρ₀)/3 L
M = L(ρ₀ + ρ₁/3 -ρ₀/3)
M = L(2/3 ρ₀ + ρ₁/3)
M = ¹/₃L(2ρ₀ + ρ₁)
We will replace and simplify in the center of mass equation to get;
X_cm = ¹/₄L²[ρ₀ + ρ₁] / [L/3 (2ρ₀ + ρ₀)/L]
X_cm = ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)
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Find the lateral surface area of the rectangular prism in centimeters. A) 96 cm2 b) 108 cm2 c) 126 cm2 d) 142 cm2
Option C) 120cm² is the correct answer.
Hence, the lateral surface area of the rectangular prism in 120cm².
This question is incomplete, the complete question is;
Find the lateral surface area of the rectangular prism in centimeters.
L=4, W=3, H=9
A) 96 cm2 b) 108 cm2 c) 126 cm2 d) 142 cm2.
Rectangular prismA rectangular prism or Cuboid is simply a three dimensional solid shape with six faces that are rectangles.
The lateral surface area of the rectangular prism is the perimeter of the base multiply by the height of the prism. It is expressed as:
[tex]LSA = 2 ( l + w ) h[/tex]
To determine the lateral surface area of the rectangular prism, we substitute our given values into the above expression.
[tex]L.S.A = 2(l+w)h\\\\L.S.A = 2( 4cm + 3cm )9cm\\\\L.S.A = 2( 7cm)9cm\\\\L.S.A = 126cm^2[/tex]
Option C) 120cm² is the correct answer.
Hence, the lateral surface area of the rectangular prism in 120cm².
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18.1 angles of rotation and radian measure answers
An example of angles of rotation and radian measure question is convert the measure 20° to radian and then from radian to degree.
How does Radians and degrees both measure angles?Radians and degrees are known to often measure angles. Note that one can convert from radian to degree and from degree to radian.
Note that one rotation that is around a unit circle is said to equals 360 degrees or 2π radians.
To solve for the option above 20°
One can say in Radian, it will be π/180
In degree , it will be π/9
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which of the following best explains how most candidates are recruited to run for office?
How most candidates run for office is; Political parties usually recruit and train people at the local level they believe are most fit to run for office.
What is the election process?A political campaign is known to be a form of an organized work which aim to influence the decision making procedures within a particular group of people.
In politics, the major political campaigns are targeted at mainly general elections and candidates set apart for head of state or head of government, such as the office of the president or other elective positions.
FInally, the way candidates are recruited to run for office is Political parties usually recruit and train people at the local level they believe are most fit to run for office.
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How many iron atoms are present in 3.0 mol of iron metal?
Answer:
There are 1.806×10²⁴ atoms in 3 moles of iron.
Explanation:
Step 1:
Data obtained from the question
Number of mole of Fe = 3 moles
Number of atom =?
Step 2:
Determination of the number of atom.
From Avogadro's hypothesis, we understood that:
1 mole of Fe = 6.02×10²³ atoms
Therefore,
3 moles of Fe = 3 × 6.02×10²³ atoms
3 moles of Fe = 1.806×10²⁴ atoms
Thus, 3 moles of iron, Fe contains 1.806×10²⁴ atoms.
17.1 angles of rotation and radian measure answers
The angles of rotation is described as an angle that is created by the beginning and ending positions of a ray that is known to moves in circles (rotates) about its own endpoint.
An example of this type of angle is given in the image attached. The image is an example of an angles that is greater than 180° and less than 0°.
What is Angles of Rotation and Radian Measure?The measurement of a radian of an angle is known to be the length of the arc on the unit circle that is said to be subtended by that angle.
Note that the ways to Measure Angles is by:
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pasta with garlicky spinach and buttered pistachios
Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = −74.
Answer:
-74 is -144
Explanation:
Hope it helps <3
Answer:
-74 is -144
Explanation:
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Why does it rain more in west ferris than in east ferris
A batch of 140 semiconductor chips is inspected by
Answer:
A batch of one hundred forty semiconductor chips would be inspected by choosing a sample
For 2-methylbutane, the ∆h° of vaporization is 25. 22 kj/mol and the ∆s° of vaporization is 84. 48 j/mol･k. At 1. 00 atm and 201 k, what is the ∆g° of vaporization for 2-methylbutane, in kj/mol?
The Gibbs free energy ΔG for the vaporisation of 2-methylbutane, in KJ/mol is 8.24 KJ/mol
Data obtained from the question Enthalpy change (ΔH) = 25. 22 KJ/mol Change in entropy (ΔS) = 84.48 J/Kmol = 84.48 / 1000 = 8.448×10¯² KJ/KmolTemperature (T) = 201 KGibbs free energy (ΔG) =? How to determine the Gibbs free energyThe Gibbs free energy for the reaction can be obtained as follow:
ΔG = ΔH – TΔS
ΔG = 25.22 – (201 × 8.448×10¯²)
ΔG = 25.22 – 169.8048
ΔG = 8.24 KJ/mol
Thus, the ΔG for the reaction is 8.24 KJ/mol
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Question 1 with 1 blank rafael y lola 1 of 1 en la clase pero no se hablaron. Question 2 with 1 blank anoche julia y francisco 1 of 1 en el cine a las siete. Question 3 with 1 blank cuando mi prima y yo nos saludamos, siempre 1 of 1. Question 4 with 1 blank elena y yo siempre 1 of 1 con la tarea. Question 5 with 1 blank leonor y david 1 of 1 por correo electrónico
These are the complete sentences using the preterite tense:
Rafael y Lola se vieron en la clase pero no se hablaron.Anoche Julia y Francisco se encontraron en el cine a las siete.Cuando mi prima y yo nos saludamos, siempre nos abrazamos.Elena y yo siempre nos ayudamos con la tarea.Leonor y David se escriben por correo electrónico.What is the preterite tense?In this exercise, the sentences are conjugated in the preterite tense.
The Spanish preterite tense ("pretérito perfecto simple" in Spanish) is used to talk about actions completed at some point in the past.
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To find out what normita and her family do on holidays, write the appropriate word or phrase from the list. you won't use all the words, but none of the words are used more than once. ¡ojo! remember verb/subject agreement when conjugating verbs.
The appropriate phrase from the list that uses the verb/subject agreement is "When someone in my family has a birthday, we always have a party".
What is verb/subject agreement?The Subject-verb agreement simply means that a subject and its verb must be both singular or plural. In this case, a singular subject takes a singular verb and a plural subject takes a plural verb.
From the complete question, the appropriate phrase from the list that uses the verb/subject agreement is "When someone in my family has a birthday, we always have a party".
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Why is it useful to have your bank account and routing numbers when using tax preparation software? everfi
It is useful to have a bank account and routing numbers when using tax preparation software so as to indicate where tax refunds should be sent.
What is a tax preparation software?A tax preparation software can be defined as a type of computer software that is designed and developed to assist individuals when they are filing their taxes, tax returns and bank account preparations.
Basically, it is very useful and important for individuals to have a bank account and routing numbers when using tax preparation software because it would help them to indicate where tax refunds should be sent.
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Frozen water is less dense than liquid water, allowing lake organisms to survive winter. true false
False, frozen water is denser than liquid water and does not allow lake organisms to survive water.
Density of Frozen water and Liquid waterBy definition, density is the mass per unit volume of a substance, a property which is characteristic to each substance.
By convention, solid state of a substance are said to be denser than liquid state of the same substance. Hence, it follows that frozen water is denser than liquid water and does not allow lake organisms to survive.
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Answer:
True
Explanation:
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A store has a sale where all hats are sold at a discount of 40
Assuming the regular price of the jackets is $80. The number of jackets that could be bought at the sale if a shopper spent $576 is: 12 jacket.
Number of sold jacketFirst step is to find new price using this formula
New price=Regular price×(100-Discount)
New price=$80×(100%-40%)
New price=$80×60%
New price=$48
Second step is to find the number of sold jackets
Number of sold jacket=Amount spent/New price
Number of sold jacket=576 / 48
Number of sold jacket= 12 jackets
Inconclusion the number of jackets that could be bought at the sale if a shopper spent $576 is: 12 jacket.
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Rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round.
The angular speed simply describes the way that things turn which is described in units such as revolutions per minutes, degree per seconds, etc.
What is angular speed?Your information is incomplete as the diagram isn't provided. Therefore, an overview will be given.
It should be noted that angular speed simply means the measure of how fast the central angle of the rotating body changes with respect to time.
The angular speed is simply calculated by multiplying the angle of rotation and the time taken to complete the rotation.
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A food worker needs to measure the temperature of hot held casserole
Answer:
he should measure it with a thermometer that sticks into the dish.
Explanation:
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how many feet will it take you to stop from 60 mph
help hurry please help me
Answer:
The answer is B
Explanation:
If any of the numbers do not have a line underneath then the inside of the circle should not be shaded. If it does have a line underneath then the whole circle should be shaded. Then you look at the direction it is going, look carefully.
In a typical automotive engine the piston contains
Answer:
two compression rings
Explanation:
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