Simon's monthly take-home pay after taxes) is $2100. If he pays 22% of his gross pay (before taxes) in tax, what is his gross pay?
Simon's gross pay is $
(Round to the nearest dollar as needed.)

Answer:

dont know.

Step-by-step explanation:

The function f such that F = ∇f does not exist, and the answer is DNE (does not exist).

Generally, To determine whether or not the vector field is conservative, we need to check if its curl is zero. The curl of the given vector field is:

curl(F) = ∇ x F

          = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k

Substituting in the values of the components of F, we get:

curl(F) = (-cos(z))i + (0)j + (-y sin(z))k

Since the curl of the vector field is nonzero, the vector field is not conservative.

Therefore, the solution is DNE, and the function f such that F = f does not exist (does not exist).

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Answer:

Its A. Medera turned the phone off while playing in the soccer game

Step-by-step explanation:

Answer:

It is A.Medera turned the phone off while playing in a soccer game.

Step-by-step explanation:

got a 100 on the test

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Answer:

B

Step-by-step explanation:

10x-30=10(x-3)

Answer:

Wood is bounded above and bounded below

Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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Answer:

the quotient is the result so 4.25

The answer for it is diagram B because it does not cross or have parallel lines

The number of M&M's that were in the bowl before Amelia arrived is; 12

Let the original amount in the bowl be x. Thus;

If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x

Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x

Now, we are told that there were finally 3 left after all the deductions. Thus;

0.25x = 3

x = 3/0.25

x = 12

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The equation for a transformed cosine wave with the following properties is  y = 3cos2x + 4

An equation for a transformed cosine wave with the following properties can be written in the form:

y = A× cos(B(x - C)) + D

Where:

A = amplitude (positive value)

C = phase shift (horizontal shift of the wave)

D = vertical shift (shift of the wave up or down)

Here we have

Amplitude = 3

Period = π

Horizontal shift = None

Vertical shift  = 4 units  up  

As we know Period P = 2π/B

From the data => 2π/B = π

=> B = 2  

Hence,

Equation for a transformed cosine wave, y = 3 × cos(2(x - 0)) + 4

=> y = 3 × cos(2(x )) + 4

=> y = 3cos2x + 4  

Therefore,

The equation for a transformed cosine wave with the following properties is  y = 3cos2x + 4

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Solving the equation for x, we have:

So the value of x is 6.

Answer:

a, and b are your answers

explanation: plug them in

Answer:

-5/6

Step-by-step explanation:

By the application of Analytical geometry the rate of change of y with respect to x is -5/6.

what is Analytical geometry?

Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.

The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.

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You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

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Answer: Let's call the scale factor between the two containers "k". Then, we know that the ratio of their surface areas is equal to the square of the scale factor:

(surface area of B) / (surface area of A) = k^2

We also know that the ratio of their volumes is equal to the cube of the scale factor:

(volume of B) / (volume of A) = k^3

We can rearrange the first equation to solve for k:

k^2 = (surface area of B) / (surface area of A) = 10478 mm^2 / 1550 mm^2 = 6.75

Taking the square root of both sides, we get:

k = sqrt(6.75) = 2.6 (rounded to one decimal place)

Now we can use the second equation to find the volume of container A:

(volume of B) - (volume of A) = 62160 mm^3

(k^3)(volume of A) - (volume of A) = 62160 mm^3

Simplifying and solving for the volume of A, we get:

volume of A = 62160 mm^3 / (k^3 - 1) = 62160 mm^3 / (2.6^3 - 1) ≈ 4477 mm^3

Therefore, the volume of container A is approximately 4477 mm^3.

Step-by-step explanation:

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

The equation for the line of best fit is y = 0.26x + 0.98. So correct option is A.

An equation is a mathematical statement that shows the relationship between two or more quantities. It is typically written using symbols and mathematical operators, such as plus (+), minus (-), multiplication (*), division (/), and equals (=) sign.

An equation can be as simple as 2+3=5, or as complex as a polynomial equation with multiple variables and exponents. The variables in an equation represent quantities that can vary, and the goal of solving an equation is usually to find the values of the variables that satisfy the equation.

To find the equation for the line of best fit, we can use linear regression analysis to determine the equation of a line that best fits the data points. Using the given values of x and y, we can find the slope and y-intercept of the line of best fit.

We can begin by calculating the means of x and y:

mean(x) = (3+4+5+6)/4 = 4.5

mean(y) = (8.95+9.29+9.4+9.78)/4 = 9.355

Next, we can calculate the deviations from the means of x and y:

x - mean(x): -1.5, -0.5, 0.5, 1.5

y - mean(y): -0.405, -0.065, 0.045, 0.425

Then, we can calculate the slope of the line of best fit using the formula:

slope = Σ[(x - mean(x))(y - mean(y))] / Σ(x - mean(x))²

Plugging in the values, we get:

slope = [(-1.5)(-0.405) + (-0.5)(-0.065) + (0.5)(0.045) + (1.5)(0.425)] / [(-1.5)² + (-0.5)² + (0.5)² + (1.5)²]

≈ 0.26

Finally, we can find the y-intercept of the line of best fit by using the formula:

y-intercept = mean(y) - slope * mean(x)

Plugging in the values, we get:

y-intercept = 9.355 - 0.26 * 4.5

≈ 0.98

Therefore, the equation for the line of best fit is:

y = 0.26x + 0.98

So the answer is (A) y = 0.26x + 0.98.

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The complete question is:

Based on the information in the triangle, the measure of ZDEB is 54°.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

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-0.3, 4.92, 9, 24, 25

Answer:

252

Step-by-step explanation:

7 yards is equivalent to 252 inches.

Answer:

252 inches

Step-by-step explanation:

There are 3 feet in 1 yard. Multiply 7 yards x the 3 feet in each 1 yard.

You should now have 21 feet.

Multiply 21 feet x the 12 inches in each foot.

You should come up with 252 inches as your final product.

Answer:

45+1/3 (all 1/3 is 1/3 of an hour, so do 60/3 to get 20) meaning that 45+20 is 65 minutes or an hour and 5 minutes

Step-by-step explanation:

Check the picture below.

so following the template below, a shift 2 units to the left, means C=2

\(G(x)=\sqrt{x+2}\)