2. Determine the tax for each filing status and taxable income amount.

a. Single $57,723

b. Head of household $60,950

c. Married filing jointly $63,999

d. Married filing separately $57,521

The expressions are expanded to give;

1. 2x² - 5x

2. 6x² + 8x

3. 6x² - 12xy

Algebraic expressions are defined as expressions consisting of  variables, coefficients, constants, terms and factors.

These expressions are also known to consist of mathematical operations, which includes;

From the information given, we have that;

a. x (2x - 5)

expand the bracket

2x² - 5x

b. 2x (3x+4)

expand the bracket

6x² + 8x

c. 6x(x-2y)

expand the bracket

6x² - 12xy

Hence, the expressions are 2x² - 5x, 6x² + 8x and 6x² - 12xy

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Answer:

1) 2x² - 5x

2) 6x² + 8x

3) 6x² - 12xy

Step-by-step explanation:

1) x ( 2x - 5 )

To expand the above, multiply both terms inside the brackets by x.

2x² - 5x

2) 2x ( 3x + 4 )

To expand the above, multiply both terms inside the brackets by 2x.

6x² + 8x

3) 6x ( x - 2y )

To expand the above, multiply both terms inside the brackets by 6x.

6x² - 12xy

Answer: Let's assume that it takes Pam x minutes to give a haircut and y minutes to color hair.

From the information given, we can create two equations:

2x + y = 83 (Pam gave 2 haircuts and colored the hair of 1 client in 83 minutes)

1x + 3y = 164 (Pam gave 1 haircut and colored the hair of 3 clients in 164 minutes)

To solve for x and y, we can use elimination method or substitution method. Let's use substitution method.

From the first equation, we can solve for y in terms of x:

y = 83 - 2x

Substituting this into the second equation, we get:

1x + 3(83 - 2x) = 164

Simplifying and solving for x, we get:

x = 30

Substituting this value of x into either of the two equations, we can solve for y:

2(30) + y = 83

y = 23

Therefore, it takes Pam 30 minutes to give a haircut and 23 minutes to color hair.

Step-by-step explanation:

Answer:

Hence, Suzanne is working at a faster rate.

Suzanne started with the most windows already installed

Step-by-step explanation:

Number of windows he's installing :

Tom's equation :

y = 7x + 2

Suzanne's equation :

y = 6x +5

x = number of days used

Let y = 10

Tom:

10 = 7x + 2

10 - 2 = 7x

8 = 7x

x = 8/7 ; x = 1.143

Suzanne :

y = 6x + 5

10 = 6x + 5

10 - 5 = 6x

5 = 6x

x = 5/6

x = 0.833

Since 0.833 < 1. 143

Hence, Suzanne is working at a faster rate.

Intercept in Suzanne's equation = 5

Intercept in Tom's equation = 5

Suzanne started with the most windows already installed

Answer:

Step-by-step explanation:

slope formula =\(\frac{y_{1}-y_{2} }{x_{1}-x_{2} }\)

\(\frac{4-3}{-4-(-1) }\) = \(\frac{1}{-3}\) = \(-\frac{1}{3}\)

slope = \(-\frac{1}{3}\)



(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Answer:

(x+5)²=0

Step-by-step explanation:

I don't know how to explain this.. I'm sorry. It's an algebraic identity. If that helps..

Answer:

No solution.

Step-by-step explanation:

There is not an number that I can put in for x and y and get the answer 4 and -4.

Answer:

No solutions

Step-by-step explanation:

Given system of equations:

\(9x - y = 4 \\ 9x - y = -4\)

Let us substitute the equation 9x - y = 4 into the second equation:

\(\implies 9x - y = -4\)

\(\implies 4 = -4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [9x - y} = 4} ]\)

But 4 = -4 is not possible, as they are opposite integers. Since 4 ≠ -4, there are no solutions for the given system of equations.

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The solution to the given inequality are x  ≤ 7, and (-∞, 7).

Inequality expressions are expressions that are not separated by an equal sign.

For the statement "14 less twice the sum of m and 12 is at most 24", it is expressed as:

2(x+12)-14 ≤ 24

Simplify

2x + 24 - 14  ≤ 24

2x + 10  ≤ 24

2x  ≤ 24 - 10

2x ≤ 14

Divide both sides by 2

x  ≤ 14/2

x  ≤ 7

Hence the solution to the given inequality are x  ≤ 7, and (-∞, 7).

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

2 3/10 ÷ 2 2/9

Step 02:

division:

The number of gasolines is 1,800,000 miles driven.

­Gas is known as an aliphatic hydrocarbon. All in all, gas comprised of particles made out of nothing, yet hydrogen and carbon organized in chains. Fuel particles have from seven to 11 carbons in each chain. Gas or petroleum is a straightforward, oil determined combustible fluid that is utilized principally as a fuel in most flash touched off gas powered motors. Fuel is as of now thought to be frozen in the event that it transforms into a thick slop or wax. To absolutely keep away from frozen gas inside the vehicle, center around forestalling the fuel line from freezing during winter. Fuel fumes are heavier than air, so they choose the ground and travel like a fluid. Along these lines, they frequently track down their direction into channels, storm cellars, and sewer lines.

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The factored form of the quadratic equation is given as follows:

y = 3(x + 0.6667)(x - 6).

The quadratic equation for this problem is defined as follows:

3x² - 16x - 7 = 5.

3x² - 16x - 12 = 0.

The coefficients are given as follows:

a = 3, b = -16, c = -12.

Hence the discriminant is of:

D = (-16)² - 4(3)(-12)

D = 400.

Then the roots are of:

Considering the leading coefficient of 3 and the roots, the factored form of the equation is given as follows:

y = 3(x + 0.6667)(x - 6).

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Answer:

The last option

Step-by-step explanation:

You can find the slope by using this equation : y2-y1/x2-x1. We can choose any two y coordinates and any two x coordinates to find this. For instance, you can write this as -3-(-2.25)/0-(-1). Now, we can solve.

-3-(-2.25)/0-(-1)

-3+2.25/0+1

-0.75/1

-0.75

-0.75 in fraction form is -3/4.

I'm not quite sure how to calculate the y-intercept, but we know the slope, and that's all we need for this problem (the slope number is next to the x). This makes our answer the last option. Hope this helps!

Answer:

12x=9+5x^{2}

12x=9+5x2

Step-by-step explanation:

If the perimeter of the regular hexagon equals to the perimeter of an equilateral triangle then the area of the hexagon is 18.

A hexagon can be be known as a polygon that has six sides and angles. Regular hexagons have six equal sides and angles and are composed of six equilateral triangles. first we have to write down the formula for finding the area of a hexagon if you know the side length. Since a regular hexagon is comprised of six equilateral triangles, the formula for finding the area of a hexagon is derived from the formula of finding the area of an equilateral triangle.

Let a be the side of equilateral triangle ∴ \(\sqrt{3}\) /4 \(a^{2}\) = 12

Perimeter of triangle = 3a = Perimeter of Hexagon

3a=6h ,where h is the side of hexagon.

⇒ h = 1/2 a

The area of the hexagon =6× \(\sqrt{3}\)/4 \(h^{2}\)

=6× \(\sqrt{3}\)/4 . ( a/2 ) 2 =  6/4 ×12

= 18

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Number of cats cannot be a decimal value, therefore, Total number of stray cats in the city today are 2686, rounded off from 2686.29.

As per the question statement, a certain city had 300 stray cats in 1999, and the number of cats are growing by 10% every year since then.

We are required to calculate the total number of stray cats in the city today.

To do so, we will need to know the formula of compound interest which goes as \(A=[P*(1+\frac{R}{100})^n]\)

Where, A = Final Amount i.e., (Principle + Interest).

P = Principle on which Interest in compounded

R = Rate of Compound Interest per annum

n = Time period of interest.

Here, (P = 300), (R = 10) and [n = (2022-1999) = 23]

Using these values of P, R and n in the above-mentioned formula to calculate the amount in the case of compound interest, we get,

Total number of stray cats in the city today (T) = \([300*(1+\frac{10}{100})^{23} ]\)

\(or, T=[300*(\frac{100+10}{100})^{23} ]\\or, T=[300*(\frac{110}{100})^{23}]\\or, T=[300*(\frac{11}{10})^{23}]\\or, T=2686.29\)

Since, number of cats cannot be a decimal value, therefore, Total number of stray cats in the city today are 2686, rounded off from 2686.29.

Compound Interest: Compound interest means that the interest increases exponentially, rather than increasing linearly over time, or in simpler words, it is a continuous interest on principal plus interest.

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The solution for the data shows the times, in minutes and seconds, for swimmers to swim a 400-m freestyle race has been shown below.

The statistic is the study of mathematics that deals with relations between comprehensive data.

a) To convert the data to seconds, we can multiply the minutes by 60 and add the seconds. For example, 3:28 is equivalent to 3 x 60 + 28 = 208 seconds.

Here is the data converted to seconds,
208, 176, 265, 222, 333, 237, 225, 269, 303, 295, 238, 255, 257, 209, 271, 210, 252, 261, 293, 306, 287, 230, 268, 249, 301, 226, 267, 291, 312, 298

b) To find the range, we subtract the smallest value from the largest value,

Range = 333 - 176 = 157 seconds

To find the median, we need to first arrange the data in order from smallest to largest, we need to find the average of the two middle values, which are 269 and 271,

Median = (269 + 271) / 2 = 270 seconds

To find the mode, we look for the value that appears most frequently in the data

Mode = 268 seconds

c)

 1 | 7

 2 | 002256789

 3 | 00835577

 4 | 01245899

 5 | 0136

 6 | 7

 7 | 1

Interval Frequency

170-199 seconds 1

200-229 seconds 7

230-259 seconds 8

260-289 seconds 7

290-319 seconds 4

320-349 seconds 1

d) The stem-and-leaf plot displays the actual data points, while the frequency table groups the data into intervals and displays the frequency of each interval.

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The length of DC is √102, which is the simplest radical form.

The proportion of corresponding sides in similar triangles is the same. This is known as the similar triangles theorem.

In other words, if two triangles are similar, then the ratio of the lengths of any two corresponding sides is the same.

Since DE is parallel to AB, we can use similar triangles to set up the following proportion:

DC/AC = DE/AB

Substituting the given values, we get:

DC/17 = 6/AB

Since AB is the same length as DC, we can replace AB with DC:

DC/17 = 6/DC

Cross-multiplying and simplifying, we get:

DC^2 = 17 * 6

DC^2 = 102

DC = √102 in simplest radical form

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Answer:

The toy falls at a rate of at least a Negative one-half meter per second.

Step-by-step explanation:

Answer:

the awnser is a or the pool is 1 meter deep

Step-by-step explanation:

i am smart and i got it right when i did it

Answer:

-20, probably.

Step-by-step explanation:

This is worded weirdly I assume it means there is a slope of one. Also, I hate that you got the points for this question by putting nonsense "answers" on questions, but you seemed like a halfway decent person.

Answer

XY = 6 units

ZW = 8 units

The two segments (XY and ZW) are not congruent as they are not equal in length to each other.

Explanation

We are given the coordinates of points X, Y, Z and W

X = -8

Y = -2

Z = 2

W = 10

XY = Difference between points -2 and -8

XY = -2 - (-8) = -2 + 8 = 6 units

ZW = Difference between points 10 and 2

ZW = 10 - 2 = 8 units

The two segments are not congruent as they are not equal in length to each other.

Hope this Helps!!!

Answer:

maximun (0,5)

Step-by-step explanation:

Answer:

So, I put Maximum. (-5/4, 65/8) and it was correct

Step-by-step explanation:

I don't know how to do step by step sorry

Answer: C

Step-by-step explanation:

Answer:

(a)

Step-by-step explanation:

Prime numbers only have 2 factors, 1 and the number itself.

Numbers which have other factors are composite.

(a) are all composite numbers

(b) 17 is a prime number

(c) 13 is a prime number

(d) 31 is a prime number

The locker combination must therefore be (a)

Answer:

28%

Step-by-step explanation:

In the function the .72 means that each unit of time 72% of the value is retained. This means that 28% percent of the value is lost or decays because 1-0.72=0.28 or 28 percent.

Answer:

4.10526315789

Step-by-step explanation:

Answer: 4.10526315789

Step-by-step explanation:

Someone else in the world may watch it but personally i do not.

Answer:

Please Give Brainliest

Step-by-step explanation:

The sample space with 16 total possible events is S. If an event is A and contains 3 possible results of S, then how many results are there in the complementary event of A, which is represented by A′ is a) 13.

Let's assume that the total number of results in S is represented by n(S), and that A has m results. It can be concluded that: n(A') = n(S) - n(A)

If A has 3 results, then n(A) = 3, and therefore: n(A') = 16 - 3 = 13.

Therefore, there are 13 results in the complementary event A′. Thus, the correct answer is (a) 13.

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