Find the area of the figure.

Answer: -6x + 21y = -42Now we can solve for y:21y = -42 + 42

y = 0Substitute y = 0 back into one of the original equations:-3x + 14(0) = -28

-3x = -28

x = 9/1So the solution to the system of equations is (x, y) = (9, 0).

Step-by-step explanation:

Answer: y = 3x, table A; graph A

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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The expression represents the total number of points Mona will earn if she catches x fish, y octopus, and z crabs is 30x + 80y - 15z.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given to us

30 points for fish

80 points for Octopus

-15 points for crab

As it is given in the problem that Mona catches x number of fishes, y number of octopuses, and z number of cabs. therefore,

Points earned through fishes \(=x \times 30 = 30 x\)

Points earned through Octopus \(=y \times 80 = 80 y\)

Points earned through crabs\(=z \times -15= -15 z\)

Total points earned by Mona in the video game

= Points earned through fishes, octopus, and crabs

\(=30x + 80 y -15z\)

Hence, the expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs is 30x + 80y - 15z.

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For small-angle approximations (( \theta \approx \sin(\theta) )), the equation simplifies to:

[ \frac{{d^2\theta}}{{dt^2}} + \frac{g}{L}\theta = 0 ]

which corresponds to simple harmonic motion.

It seems that part of your question got cut off. However, I can provide you with some information about the differential equation governing the motion of a pendulum.

The motion of a simple pendulum can be described by a differential equation known as the "simple harmonic motion" equation. This equation relates the angular displacement (( \theta )) of the pendulum to time.

The differential equation for a simple pendulum is given by:

[ \frac{{d^2\theta}}{{dt^2}} + \frac{g}{L}\sin(\theta) = 0 ]

where:

\frac{{d^2\theta}}{{dt^2}} ) represents the second derivative of ( \theta ) with respect to time, indicating the acceleration of the pendulum.

( g ) represents the acceleration due to gravity (approximately 9.8 m/s²).

( L ) represents the length of the pendulum.

This equation states that the sum of the tangential component of the acceleration and the gravitational component must be zero for the pendulum to remain in equilibrium.

Solving this nonlinear differential equation is usually challenging, and exact solutions are not always possible.

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Answer:

I did the math and I believe that answer is : -12x4-5x

Step-by-step explanation:

23, f(x) = 4x- 25, f(x) = x2-3x + 10 26. 27. f(x) 3x2 29, f(x) = 2x3-5x2 + 4x-1 30. f(x) = x3-3x2 31, f(x)--2x3-8x2 + 6x + 36 28, f(x) = x3-x2-x + 1 For each function use the leading coefficient test to determine whether y → oo or y →-oo as x → oo. 33, y=2x3-x2 + 9 35. y =-3x4 + 5 34. y=-3x + 7 36, y = 6x4-5x2-1 38, y = 5x-7x4 37. y=x-3x3 For each function use the leading coefficient test to determine whether y → or y →

Answer:

the fomular is (y,-x)

Step-by-step explanation:

the clock wise rotation simply means refection in the y-axis

Answer:

x=65

Step-by-step explanation:

When angles are across from eachother like that their values are the same.

so you set them equal to eachother.

120 = 2x - 10

130 = 2x add 10 to both sides

130/2 = 2x/ 2 divide both sides by 2

65 = x

Answer:

Considering that you are trying to find 'x' it is best to make an equation!

Step-by-step explanation:

To find 'x' you must first make an equation!

Since both are the same lengths, you can put these two equal to each other!

(2x - 10)° = 120°

Then solve like normal!

2x - 10° = 120°

    +10° = +10°

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

2x = 130°

(Then divide both sides by 2)

2x/2 = 130/2

x = 65°

The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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\( \Large{\boxed{\sf A_{shaded \: shape} = 55cm^2}} \)

\( \\ \)

The shaded area corresponds to the area of the trapezoid, from which we subtract the area of the rectangle.

\( \\ \\ \)

\( \\ \\ \)

The area of a trapezoid is given by the following formula:

\( \sf A_{trapezoid} = \dfrac{(a + b)}{2} \times h \)

Where:

\( \\ \)

\( \sf \Large{\sf Given \text{:} \begin{cases} \sf a &=\sf 8cm \\ \sf b &=\sf 12cm \\ \sf h &= \sf 7cm \end{cases} } \)

\( \\ \)

Substituting these values into our formula, we get:

\( \sf A_{trapezoid} = \dfrac{8 + 12}{2} \times 7 = 10 \times 7 = \boxed{\sf 70cm^2} \)

\( \\ \\ \)

\( \\ \\ \)

We can calculate the area of a rectangle using the following formula:

\( \sf A_{rectangle} = L \times W \)

Where:

\( \\ \)

\( \sf \Large{\sf Given \text{:} \begin{cases} \sf L &=\sf 5cm \\ \sf W &=\sf 3cm \end{cases} } \)

\( \\ \)

Substitute these values into our formula:

\( \sf A_{rectangle} = 5 \times 3 = \boxed{\sf 15cm^2} \)

\( \\ \\ \)

We can now find the area of the shaded shape:

\( \sf A_{shaded \: shape} = A_{trapezoid} - A_{rectangle} = 70 - 15 = \boxed{\boxed{\sf 55cm^2}} \)

Answer:

∠3 and ∠10 are;

B. Alternate exterior angles

Step-by-step explanation:

From the given diagram, we have;

∠3 and ∠10 are angles on the same transversal

The location of ∠3 and ∠10 are on the outer (exterior) part of the two lines crossed by the transversal that forms ∠3 and ∠10 such that the two lines comes between the angles

∠3 and ∠10 are on the alternate sides of the transversal such that ∠3 is below the transversal and ∠10 is above the transversal

Therefore, ∠3 and ∠10 are alternate exterior angles.

Answer:

(-5,-8.5)

Step-by-step explanation:

-3-7=-10

-9-8=-17

-10/2=-5

-17/2=8.5

I'm NGL dawg, your comments don't make sense but that's the mid point for (-3,-9) (-7,-8).

Answer:

2/5

Step-by-step explanation:

To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:

r = √(x² + y²)

θ = arctan(y / x)

(a) For the given point (-6, 6):

x = -6

y = 6

First, let's find the value of r:

r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2

Next, let's find the value of θ:

θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)

Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).

(b) For r > 0 and 0 ≤ θ < 2:

In this case, the polar coordinates will remain the same: (6√2, -π/4).

(c) For r < 0 and 0 ≤ θ < 2:

Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.

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The monthly payment amount is approximately $129.45.

To find the payment amount and finance charge for the loan, we can use the formula for calculating monthly loan payments and finance charges.

The formula to calculate the monthly loan payment amount is given by:

\[ P = \frac{{r \cdot PV}}{{1 - (1+r)^{-n}}} \]

where:

P = monthly payment amount

r = monthly interest rate (APR divided by 12 months and 100 to convert it to a decimal)

PV = present value or loan amount

n = total number of payments

Given:

Loan amount (PV) = $4800

APR = 12%

Monthly payments (n) = 24

To calculate the monthly interest rate (r), we divide the annual percentage rate (APR) by 12 and convert it to a decimal:

\[ r = \frac{{12\%}}{{12 \cdot 100}} = \frac{{0.12}}{{12}} = 0.01 \]

Substituting the values into the formula, we have:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

Calculating this equation will give us the monthly payment amount.

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term (P * n).

Let's calculate these values:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - 0.62889499777}} \]

\[ P \approx \frac{{48}}{{0.37110500223}} \]

\[ P \approx 129.4532449 \]

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term:

Total amount paid = P * n

Total amount paid = $129.45 * 24

Total amount paid = $3106.80

Finance charge = Total amount paid - PV

Finance charge = $3106.80 - $4800

Finance charge = $-1693.20

The finance charge is approximately -$1693.20. The negative sign indicates that the borrower will be paying less than the loan amount over the loan term.

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Answer:

Please read below

Step-by-step explanation:

We are told that 1/2 of the orange juice is concentrate

So 50% is concentrate

100 - 50 = 50

This leaves another 50% to be water
50:50 is the same as 1:1

Answer: She will give 8 square meter area to school snap pea plant.

Step-by-step explanation:

Given: Area required by each planter box = \(\dfrac45\) square meter

Total number of snap pea seeds  = 10

The total area required =  (Area required by each planter box ) x (number of snap pea seeds)

\(=\dfrac45\times10\\\\=4\times2=8\)

Hence, she will give 8 square meter area to school snap pea plant.

Answer:

r = 10 cm

Step-by-step explanation:

r² = 8² + 6²

r² = 64 + 36 = 100

r = 10 cm

Answer:

10

Step-by-step explanation:16-6=10

Answer:

Step-by-step explanation:

Formula

C = 5/9*(F - 32)

Givens

F = 86 deg F

Solution

C = 5/9* (86 - 32)         Combine the right

C = 5/9* (54)                 Divide by 9

C = 5 * 6

C = 30 deg C

Answer:

1        6

2     10

3     \(\frac{18}{5}\)

4     \(\frac{8}{3}\)

5     5

Step-by-step explanation:

Answer:

false ...............

Answer:

false

Step-by-step explanation:

3(7-2)=3×7+3×2

3(7-2) = 3(5) = 15

3×7+3×2 = 21 + 6 = 27

15\(\neq\)27

Standard deviation - The value of x is 1.96.

What is standard normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

As given, for a standard normal distribution, 95% of the data points are contained in the interval [ -x , x ].

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1. By transforming its values into z-scores, any normal distribution can be standardised. Z-scores indicate how far away from the mean each number is from.

Hence, from the standard normal table, the value of x = 1.96 for 95% confidence level.

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The median of the given data set as required to be determined in the task content is; 4.

It follows from the task content that the value which represents the median of the data set is to be determined.

By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.

Consequently, the median of the data set as required is; 4.

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Answer:

-8

Step-by-step explanation:

Answer:

Pretty sure its c, dont trust me fully :/

I hope its right!

Therefore, the probability that the bus will arrive tomorrow between 8:00 AM and 8:02 AM is 20%.

To find the probability that the bus will arrive tomorrow between 8:00 AM and 8:02 AM, we need to consider the time range during which the bus could arrive.

The bus always arrives between 8:00 AM and 8:10 AM, which means there are 10 minutes in total for the bus to arrive.

The desired time range is between 8:00 AM and 8:02 AM, which is a 2-minute interval.

To find the probability, we divide the desired time range (2 minutes) by the total time range (10 minutes):

Probability = Desired time range / Total time range

= 2 minutes / 10 minutes

= 1/5

= 0.2

= 20%

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