Choose True or False for each equation for x = 6.

Answer:

b. -2x^3 +x^2 +1

Step-by-step explanation:

(x^3 - x^2 + 4) - (3x^3 - 2x^2 +3)

x^3 - 3x^3 = -2^3

-x^2 - (-2x^2) = -x^2 + 2x^2) = x^2

4 - 3 = 1

Therefore , the solution of the given problem of expressions comes out to be  potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.

Here,

The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":

Mass times gravity times height equals gravitational potential energy.

where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.

Inputting the values provided yields:

The gravitational potential energy is equal to

=> 0.52 kg * 9.81 m/s2 *550 m,

=> 2,798.46 joules.

Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

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Rounding to the nearest hundredth, the area is approximately 151.976 cm².

The formula for the area of a sector is:

A = (θ/360) x πr²

where θ is the central angle in degrees, r is the radius, and π is pi (3.14).

Plugging in the given values, we get:

A = (144/360) x 3.14 x 11^2

A = 0.4 x 3.14 x 121

A = 151.976

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So, the most precise classification of quadrilateral LMNP is a kite.

In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.

Here,

To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.

The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using this formula, we can calculate the length of each side of the quadrilateral as follows:

LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29

MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116

NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29

PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116

Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

1 origin, 2 ordinate axis, 3factor pair, 5,abscissa ,6 quadrants, 7 origin right down, 8, René Descartes

Step-by-step explanation:

i dont know the answer to question 4 hope this help and right

Answer:

B, C, E - correct

Answer:

I think so the answer is a)y=x³+2x²-1

Answer:

1

Step-by-step explanation:

Answer:

tendrías 1 manzana

Step-by-step explanation:

This means you have one apple left

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

\(n_1 =6miles\)

\(r_1 = 2mph\)

Casey

\(c_1 = 8miles\)

\(r_2 =1mph\)

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At \(n_1 =6miles\) and \(c_1 = 8miles\)

The distance between them is:

\(d_1 = \sqrt{n_1^2 + c_1^2}\)

\(d_1 = \sqrt{6^2 + 8^2}\)

\(d_1 = \sqrt{100}\)

\(d_1 = 10miles\)

After 1 hour, their new position is:

New = Old + Rate * Time

\(n_2 = n_1 + r_1 * 1\)

\(n_2 = 6 + 2 * 1 = 8\)

And:

\(c_2 = c_1 + r_2 * 1\)

\(c_2 = 8 + 1 * 1 = 9\)

So, the distance between them is now:

\(d_2 = \sqrt{n_2^2 + c_2^2}\)

\(d_2 = \sqrt{8^2 + 9^2}\)

\(d_2 = \sqrt{145}\)

\(d_2 = 12.04\)

The rate of change is:

\(\triangle d = d_2 -d_1\)

\(\triangle d = 12.04 -10\)

\(\triangle d = 2.04\)

Step-by-step explanation:

angles 1 and 3 are supplementary angles (together they have 180°), because together they make sure that line f is a straight line, and there are no segments of the line angling "off". a straight line can be always seen as prolonged diameter of a circle. each side represents a half-circle with 180°.

a line intersecting 2 parallel lines has the same intersection angles with both lines, as parallel lines perfectly copy each other's behavior and attributes except for the y-intercept.

the angles of intersecting lines are the same in both sides of any of the 2 lines, they are just left-right mirrored.

therefore,

angle 1 = 82° = angle 2

angle 3 = 180 - angle 1 = 180 - 82 = 98° = angle 4

Answer:

  ∠1 = 82°

  ∠3 = 98°

Step-by-step explanation:

You want the measures of angles 1 and 3 where a transversal crosses parallel lines and one of the angles is marked as 82°.

The "alternate interior angles theorem" tells you that the alternate interior angles created by a transversal crossing parallel lines are congruent. Hence angle 1 is congruent to the one marked 82°.

  ∠1 = 82°

The angles of a linear pair are supplementary. Angles 1 and 3 form a linear pair, so ...

  ∠3 = 180° -∠1 = 180° -82°

  ∠3 = 98°

__

Additional comment

"Interior" angles are between the parallel lines. "Exterior" angles are outside the parallel lines. "Alternate" angles are on opposite sides of the transversal. "Consecutive" or "same-side" angles are on the same side of the transversal. (Angles 2 and 4 are "consecutive".)

"Corresponding" angles are in the same direction from the point of intersection of the transversal with the parallel lines. In this figure, angle 2 and the one marked 82° are corresponding. Corresponding angles are congruent. If you remember that, and that vertical angles are congruent, and linear pairs are supplementary, you can figure out all of the other relationships.

In the end, when the lines are parallel, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute and obtuse angles are supplementary. The angle relations themselves are pretty simple; the rest is a lot of vocabulary.

It will take 18.9 years for your investment to reach $1,500

From the question, we have the following parameters that can be used in our computation:

Initial deposit = 500 dollars

Rate of growth = 6% per year

The above implies that the growth follows an exponential path

An exponential function that represents a growth function is represented as

A(n) = a * (1 + r)ⁿ

Where

A(n) = value of investment after nth year

a = Initial deposit = 500

r = rate of growth = 6%

Substitute the known values in the above equation, so, we have the following representation

A(n) = 500 * (1 + 6%)ⁿ

Evaluate the sum

A(n) = 500 * 1.06ⁿ

When the investment is 1500 grams, we have

500 * 1.06ⁿ = 1500

Divide both sides by 500

1.06ⁿ = 3

So, we have

n = log(3)/log(1.06)

Evaluate

n = 18.9

Hence, the number of years is 18.9

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Answer:

The answer is actually 18.3 Years

Step-by-step explanation:

I got it correct on the test :D

Maci and 2 appointments and Logan had 3 appointments.

The linear equation that represents the total amount earned by Maci is:

Total amount earned = (amount per appointment x number of appointments)  + tips

$170 = ($60 x a) + $50

$170 = $60a + $50

$170 - $50 = $60a

$120 = $60a

a = $120 / $60

a = 2

The linear equation that represents the total amount earned by Logan is:

Profit = total revenue - total cost

Profit = (fee per appointment  x number of appointments) + amount received in tips - (rental fee x number of appointments)

$235 = ($75 x a) + $40 - ($10 x a)

$235 = $75a + $40 - $10a

$235 = $65a + $40

$235 - $40 = $65a

$195 = $65a

a = $195 / 65

a = 3

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Answer:

0.7 + 0.4 - 0.2 = 0.9

Step-by-step explanation:

Let's denote the probabilities as following:

The probability that the show had animals is

P(A) = 0.7

The probability that the show aired more than 10 times is

P(B) = 0.4

The probability that the show had animals and aired more than 10 times is

P(A⋂B) = 0.2

The probability that a randomly selected show had animals or aired more than 10 times is P(A⋃B)

The correct form of  addition rule to determine the probability that a randomly selected show had animals or aired more than 10 times is:

P(A⋃B) = P(A) + P(B) - P(A⋂B) = 0.7 + 0.4 - 0.2 = 0.9

=> Option B is correct

Hope this helps!

Answer:

the answer is D I hope this helps

Answer: music is how we move on we can clean up why music is playing music is part of our hearts it can help keep calm to our hearts other people hearts to other people listen to other music, people and dogs, cats and other animals listen to music to they dance, most importantly they can help you sing and learn dance moves and other stuff people like dancing and sing to the music and they love other music that can keep them calm, even have music in gyms, stores, malls, and other places music is a part of our lives and no one can stop us from playing except for the government. The government can see if we playing music so watch out but music is a part  of our lives so please dont take the music down

branliest please iv been typing this for half an hour

The presentation defends the value of music by highlighting its roles, financial benefits, academic and emotional advantages, and potential consequences of a music ban.

Presentation: Defending the Value of Music

Introduction:

- Address to the President regarding the importance of reconsidering the ban on music.

Role of Music:

1. Artistic Expression:

  - Music as a powerful means of artistic expression, reflecting diverse emotions and cultures.

  - Enables individuals to convey feelings and thoughts that words alone cannot express.

2. Universal Language:

  - Music transcends language barriers, connecting people from different backgrounds.

  - Promotes understanding, unity, and global harmony.

3. Emotional Solace:

  - Music's therapeutic effect on mental well-being, reducing stress and anxiety.

  - Offers a way to cope with life's challenges and connect with our emotions.

Financial Benefits of Concerts:

- Concert attendance stimulates local economies:

  - Boosts revenue for local businesses, such as restaurants, hotels, and shops.

  - Increases tourism, leading to job creation and economic growth.

Academic and Emotional Benefits:

- Academic Advantages:

  - Studies show music enhances cognitive skills, improving memory, problem-solving, and creativity.

  - Supports learning in subjects beyond music.

- Emotional Benefits:

  - Music as a source of comfort during difficult times.

  - Fosters emotional intelligence, empathy, and self-expression.

Scenarios Without Music:

1. Social Gatherings:

  - Without music, celebrations lack vibrancy and energy.

  - Diminished cultural and social interactions at gatherings.

2. Education System:

  - Music contributes to a well-rounded education, fostering creativity and discipline.

  - Absence of music results in a less dynamic and engaging learning environment.

Conclusion:

- Urgent call to reconsider the ban on music:

  - Acknowledge music's integral role in human life.

  - Preserve its positive impact on society, economy, education, and emotional well-being.

Closing Remarks:

- Thank the President for considering the importance of music to humankind's holistic development.

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9514 1404 393

Answer:

  x = 42

Step-by-step explanation:

You know from your multiplication tables that ...

  42/7 = 6

  x = 42

__

If you like, you can solve this by multiplying both sides of the equation by 7.

  (x/7)(7) = 6(7)

  x = 42

Answer:  The correct answer is:  " x = 42 . "

_____________________

Step-by-step explanation:

------------------------------------------

Given:

 x/7 = 6 ;   Solve for "x" ;

_____________________

 "x" divided by "7" equals "6" ;

to solve for "x"

______________________

Multiply Each Side of the equation by "7" :

______________________

 →  "  7 * \((\frac{x}{7}) = 6 * (7)\) ;

______________________

On the "left-hand side" of the equation; the "7's" cancel out;  

   → {since: " 7 / 7 = 1 " } ;

___________________

and on the "right-hand side" of the equestion:  

    →  6 * 7 = 42 ;

___________________

So; we have:  " x = 42 " ; which is our answer.

___________________

Hope this is helpful!

 Best of luck to you!

___________________

Answer:

0.09

Step-by-step explanation:

First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.

The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:

1/10(9/10)

To multiply fractions, multiply the numerators and multiply the denominators:

1/10(9/10) = (1*9)/(10*10) = 9/100

Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.

The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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a is adjacent, b is opposite, and c is the hypotenuse that correctly describes the locations of the sides in relation to Y.Option D is correct,

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The complete question is

"Given right triangle XYZ, which correctly describes the locations of the sides in relation to Y?

a is opposite, b is adjacent, c is the hypotenuse

a is the hypotenuse, b is opposite, c is adjacent

a is adjacent, b is the hypotenuse, c is opposite

a is adjacent, bis opposite, c is the hypotenuse"

Refer to the attached file for a clear understanding.

The positions of the sides in regard to Y are described by the terms and are adjacent, b is opposite, and c is the hypotenuse.

Hence the correct answer is D.

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The correct answer is B. The reduced echelon form of A must have a pivot in each row or there would be more than one possible solution for the equation Ax = b. Therefore, the columns of A must span R3.

For a system of linear equations represented by the matrix equation Ax = b to have a unique solution, the matrix A must have full rank, meaning that the columns of A must span the entire three-dimensional space R3. If the columns of A do not span R3, then there will be more than one solution, which means that the solution is not unique.

In the reduced echelon form of a matrix, each row has a pivot in a unique column. If there is a pivot in every row, this means that the columns of the matrix are linearly independent, which implies that the columns span the entire space. Therefore, in order for the equation Ax = b to have a unique solution, the columns of A must span R3.

The correct answer is B. The reduced echelon form of A must have a pivot in each row or there would be more than one possible solution for the equation Ax = b. Therefore, the columns of A must span R3.

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The area of the trapezoid is 104 square yards

As given a table was made by Veronica which is in the shape of a trapezoid.

twice as long as the table's width

Let us find the area of the trapezoid by the given data and formula of trapezoid

The length of the bottom base is x= 16 yd.

Area A=(a+b)h/2

a=10 yd

b=16 yd

h =8 yd

Substitute the values of a, b and h in the area of trapezoid

Area =1/2(10+16)8

=208/2

=104 square yards

Hence, the area of the trapezoid is 104 square yards

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Answer:

just figue out 2x2 then the answer subtract 12x then subtrct 191

Step-by-step explanation:

There are 120 ways to color the 4 rectangles

The given parameters are:

Paints, n = 5

Rectangles, = 4

The number of ways to color the rectangles is

\(Ways = ^nP_r\)

This gives

\(Ways = ^5P_4\)

Apply the permutation formula

\(Ways = \frac{5!}{1!}\)

Evaluate the expression

Ways = 120

Hence, there are 120 ways to color the 4 rectangles

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The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.

Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:

A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.

A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.

Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.

A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.

The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.

A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.

A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.

A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.

A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.

A Br. 12.70 service charge was imposed by the bank for the month of July.

Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.

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Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.

To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.

Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.

To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.

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The domain is the set of all real numbers except the x values.

And x :  denominator ≠ 0.

The collection of all conceivable independent values that a function or relation may take is known as its domain.

Let y = f(x) be a rational function.

And to find the domain of the rational function:

We have to find the all achievable values that rational function can have.

That means, we have to find the values where function is defined.

Rational function have numerator and denominator.

To find the domain of the rational function y = f(x):

Set the denominator ≠ 0 and solve for x.

The domain is the set of all real numbers except the x values ​​mentioned in the last step.

Therefore, the complete explanation is given above.

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Answer: √195 or 13.96424004

Step-by-step explanation:

Answer:

\(\sqrt{195}\)

Step-by-step explanation:

Given:

\(\sqrt{3} \cdot \sqrt{5} \cdot \sqrt{13}\)

\(\textsf{Apply the radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:\)

\(\implies \sqrt{3 \cdot 5 \cdot 13}\)

\(\implies \sqrt{15 \cdot 13}\)

\(\implies \sqrt{195}\)

This cannot be simplified any further.

Using a piece-wise function, the constraints are:

\(65x, x < 7\)

\(375 + 55x, x \geq 7\)

-------------------------

A piece-wise function is a function that has multiple definitions, depending on the value of the input.

In this problem:

Less than 7 days the rental price is $65 per day.

Thus, one constraint is:

\(65x, x < 7\)

Once a tenant stays  seven or more days, the price is $375 plus $55 per day past seven.

Thus, the other constraint is:

\(375 + 55x, x \geq 7\)

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Answer: a and d

Step-by-step explanation:

its easy. U can just solve the problem