10.1 inverses of simple quadratic and cubic functions answers

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.

False, frozen water is denser than liquid water and does not allow lake organisms to survive water.

By 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:

I took the quiz

The completely factored form of his polynomial 6x³ - 12x² + 7x - 14 Wen factored is (x-2) ( 6x² + 7)

6x³ - 12x² + 7x - 14

= 6x² (x - 2) + 7(x - 2)

6x²(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:

The angular speed simply describes the way that things turn which is described in units such as revolutions per minutes, degree per seconds, etc.

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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Answer:

he should measure it with a thermometer that sticks into the dish.

Explanation:

Hope this helps you :)

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.

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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A powdered mix being transformed into a cool jiggly salad or dessert is True.

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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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.

The expression "i did not have strange dreams." validates the statements below "I did not eat spicy foods" and "there is no thunder while I sleep"

In this exercise, the person gave three logical statements which are

Now since the person did not have/ experience strange dream, this proves that the person did not eat spicy food and there was not thunder while the person was asleep.

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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.

First 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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A probable prediction is that the grazed area will recover faster from drought due to greater 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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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.

Answer:

A batch of one hundred forty semiconductor chips would be inspected by choosing a sample

An example of parallel and perpendicular lines are the steps walk of a straight ladder, the opposite sides of a rectangle.

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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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.

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".

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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Geometric Series is known to be the exact sum of the terms of a geometric sequence. Its practice work example is given below:

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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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°.

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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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)

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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The Gibbs free energy ΔG for the vaporisation of 2-methylbutane, in KJ/mol is 8.24 KJ/mol

The 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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Answer:

-74 is -144

Explanation:

Hope it helps <3

Answer:

-74 is -144

Explanation:

hope it help

Answer:

quizlet/494283439

Explanation:

I used this for my test not sure if im too late or not but here it for future students

Also the quizlet is wrong on a few questions (im not sure if its like this for everyone but it was like this for me):

6. B.292.3 meters

7. B.154 ft

8. D.912 meters

9. A.307 feet

Again these were the correct answers for me not sure if its the same for everyone they might have changed it.

(Also, I'm not sure about 11-15 bc my teacher said i didnt have to do those ones) Hope this helps :))

The wavelength of the sound wave if the frequency is increased to the given value is 0.44m.

Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

It is expressed as;

[tex]\lambda = \frac{v}{f}[/tex]

Where v is velocity and f is frequency.

Given the data in the question;

Speed of sound wave; [tex]v =\ ?[/tex]

Wavelength of sound wave b; [tex]\lambda _b = ?[/tex]

First, we calculate the velocity of the sound wave in air from sound wave a.

[tex]\lambda = \frac{v}{f}\\ \\1.76m= \frac{v}{196s^{-1}}\\\\v = 1.76m * 196s^{-1}\\\\v = 344.96m/s[/tex]

Now, we determine the wavelength of sound wave b using the velocity of sound wave in air calculated above.

[tex]\lambda = \frac{v}{f}\\ \\\lambda = \frac{344.96m/s}{784s^{-1}}\\\\\lambda = 0.44m[/tex]

Therefore, the wavelength of the sound wave if the frequency is increased to the given value is 0.44m.

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Answer:

It decreases by 1.32 meters.

Explanation:

The other person was wrong.

An example of angles of rotation and radian measure question is convert  the measure 20° to radian and then from radian to degree.

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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My impressions of the characters from the story in his steps are :

Impression connote the views or opinions one has concerning a person.

Based on the text, The impressions of the Rachel character is known to be that she has a strong character. Rachel primary characteristics is that she is in her 20's and a beautiful singer at her Church.

Jasper on the other hand is quite a young writer that was in love with Rachel and He also proposed  marriage to her.

See full question below

What are your impressions of the following character? Is she a strong or weak character? (from the story in his steps)

Rachel

What are her primary characteristics?

What are your impressions of the following character? Is he a strong or weak character?

Jasper

What are his primary characteristics?

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The kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².

The kinetic energy of the blocks before the collision is calculated as follows;

For a negligible friction effect, the kinetic energy of the two - block system after the collision is equal to the kinetic energy before the collision.

K.E(initial) = K.E(after)

K(after) = ¹/₂(m₁ + m₂)vs²

K(after) = ¹/₂(m + 2m)vs²

K(after) = ¹/₂(3m)vs²

[tex]K.E(after) = \frac{3}{2} Mv_s^2[/tex]

Thus, the kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².

The complete question is below:

block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.

What is the kinetic energy of the two-block system before the collision?

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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.

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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These are the complete sentences using 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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