A large diamond with a mass of 481. 3 grams was recently discovered in a mine. If the density of the diamond is g over 3. 51 cm, what is the volume? Round your answer to the nearest hundredth. ​

If their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.

The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers.

The minimum income amount depends on your filing status and age. In 2022, for example, the minimum for single filing status if under age 65 is $12,950. If your income is below that threshold, you generally do not need to file a federal tax return. Review the full list below for other filing statuses and ages.

Taxable income

a. Taxable income:

Taxable income=Gross income - Total taxes due

Taxable income=$63,000-$6,847.50

Taxable income=$56,152.5

b. The marginal tax rate for taxable income  under the income bracket of of $40,526 to $86,375 is 22%.

c. Effective tax rate:

Effective tax rate = Total taxes due/ Taxable income×100

Effective tax rate =$6,847.50/$56,152.5×100

Effective tax rate =10.869%

Effective tax rate =10.87% (Approximately)

Inconclusion if their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.

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Answer:

c:8

Step-by-step explanation:

10/25 = r/20

25r = 200

25       25

r = 8

The estimated kilowatt usage when the temperature is 90° outside is 1132.5.

Here we have to find the point estimate kilowatt usage when the temperature is 90° outside.

We have to find the linear regression model:

Creating the table with the following:

∑y; ∑x; ∑xy; ∑x²; ∑y²

Now use these equations to find coefficients a and b:

a = (∑y) (∑x²) - (∑x) ( ∑yx) / n(∑x²) -(∑x²)

b = n( ∑xy) - (∑x ) (∑y) / n( ∑x²) -(∑x²)

Now substitute this in the equation:

y = a + bx

The linear regression equation is:

y = -2004 + 34.85x

Here it is asked for the temperature at 90°

So we take x = 90°

y = -2004 + 34.85× 90

y = 1132.5

Therefore the estimated kilowatt is 1132.5.

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The complete question is:

The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a point estimate Kilowatt usage when the Temperature is 90 degrees outside.

Temperature(x)                       Kilowatts(y)

       73                                         680

       78                                         760

       85                                         910

       98                                         1510

       93                                         1170

       83                                         888

       92                                         923

       81                                          837

       76                                         600

     105                                        1800

The current through the resistor when the charge on the capacitor is 8.0μF is 1.5 A.

When the switch S is closed, the capacitor starts charging through the resistor R, and the current flowing through the circuit decreases as the capacitor charges up. At any given time, the charge on the capacitor can be calculated using the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage across the capacitor.

Initially, when the switch is closed, there is no charge on the capacitor, so the voltage across it is equal to the emf of the battery, which is 12V. Therefore, the initial charge on the capacitor is:

Q = CV = (4.0 x 10^-6 F) x (12V) = 48.0 x 10^-6 C

As the capacitor charges up, the voltage across it increases and the current through the resistor decreases. When the charge on the capacitor reaches 8.0μF, the voltage across it can be calculated as follows:

Vc = Q/C = (8.0 x 10^-6 C) / (4.0 x 10^-6 F) = 2.0 V

Therefore, the voltage drop across the resistor is:

Vr = Emf - Vc = 12V - 2.0V = 10V

Using Ohm's law, the current through the resistor can be calculated as:

I = Vr / R = 10V / 4.0Ω = 2.5 A

Therefore, the current through the resistor when the charge on the capacitor is 8.0μF is 2.5 A.

However, the question asks for the current when the charge on the capacitor is 8.0μF, not the voltage. To calculate the current at that point, we need to differentiate the charge with respect to time:

I = dQ/dt = C(dV/dt)

Since the voltage across the capacitor is changing with time, we need to calculate dV/dt. This can be done using the formula for the voltage across a charging capacitor:

Vc = Emf(1 - e^(-t/RC))

Differentiating this equation with respect to time, we get:

dV/dt = (Emf / RC) e^(-t/RC)

Substituting the values of Emf, R, and C, we get:

dV/dt = (12V / (4.0Ω x 4.0 x 10^-6 F)) e^(-t/(4.0 x 10^-6 s))

When the charge on the capacitor is 8.0μF, the voltage across it is 2.0V, so we can solve the above equation for t:

2.0V = 12V(1 - e^(-t/RC))

e^(-t/RC) = 0.83333

-t/RC = ln(0.83333)

t = - RC ln(0.83333)

Substituting the values of R and C, we get:

t = - (4.0Ω x 4.0 x 10^-6 F) ln(0.83333) = 1.91 x 10^-5 s

Finally, we can calculate the current at this point:

I = C(dV/dt) = (4.0 x 10^-6 F) (12V / (4.0Ω x 4.0 x 10^-6 F)) e^(-t/(4.0 x 10

Therefore, The current through the resistor when the charge on the capacitor is 8.0μF is 1.5 A.

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Answer:

Multiplication property of Equality

Answer:

43.185

Step-by-step explanation:

43.185.is the upper bound of 43.18 which is corrected to 2 decimal places.

An element greater than or equal to all the elements in a given set

We need to find the upper bound of 43.18 cm correct to 2 decimal places

2 decimal place = 0.01

0.01 ÷ 2 = 0.005

So now add 43.18 and 0.005.

43.18 + 0.005 = 43.185.

Therefore 43.185.is the upper bound of 43.18 correct to 2 decimal places.

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Answer:

363.22

Step-by-step explanation:

Method 1:

You could find the whole figure surface area than divided by 1/2

Method 2: (the one I'm going to personally be doing)

Break the figure into two rectangular figures

Formula for surface area of rectangular prism:

A = 2(width x length + height x length + height x width)

Figure 1:

A = 2(width x length + height x length + height x width)

height = 3.8 yd

length = 10.1 yd

width = 4.3 yd

A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))

A = 2(98.15)

A = 196.3

Figure 2:

A = 2(width x length + height x length + height x width)

height = 8.4 yd

length = 10.1 yd

width = 2 yd

A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))

A = 2(121.84)

A = 243.68

There is overlapping surface area that shouldnt be include so we need to subtract it...

For one face of figure 1

3.8 x 10.1 = 38.38

Total:

Figure 1 + Figure 2 - 2(one face)

196.3 - 38.38 = 157.92

243.68 - 38.38 = 205.3

205.3 + 157.92 = 363.22

what's m∠2?

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

so, m∠2= 39°

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

hope it helps..

have a great day!!

Given:

The expression is:

\(8x^4-2x\)

To find:

The coefficient and the exponent for each term of the given expression.

Solution:

Coefficients: In the product of s number and a variable, the number is coefficient of the variable.

Exponent: The number in the power is called exponent.

We have,

\(8x^4-2x\)

Here, the terms are \(8x^4,-2x\).

For the term \(8x^4\), the coefficient is 8 and the exponent is 4.

For the term \(-2x\), the coefficient is -2 and the exponent is 1.

Therefore, the coefficients are 8 and -2, and the exponent are 4 and 1.

Nothing happened for real.

i think its not a big deal for you but it will be a big deal for your parents ;))))

Use your knowledge of genetic biology and lecture them. Maybe they don't understand.

Just kidding =))))

In short, you may have an optical problem =))))

P/s: don't be furious :'))) it's gonna easy to get old

ok done. Thank to me >:333

The probability of obtaining a sample average of 18 hours of work per week among 50 Bay Area community college students, assuming the true average is 15 hours, is 4.01%.

The p-value of 0.0401 is obtained from a hypothesis test comparing the average hours of work per week in the sample (18 hours) to the hypothesized population mean (15 hours) for Bay Area community college students.

To determine if the appropriate conclusion can be drawn from the p-value, we compare it to the significance level (commonly denoted as α). If the p-value is less than or equal to α, typically set at 0.05, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.

In this case, the p-value of 0.0401 is less than 0.05, indicating that there is strong evidence to suggest that the average hours of work per week for Bay Area community college students is higher than 15 hours.

This conclusion assumes that the study followed a good sampling technique, where the random sample of 50 students was representative of the Bay Area community college population. Additionally, it assumes that the normality conditions for inference were met, such as the distribution of work hours being approximately normal or the sample size being large enough for the Central Limit Theorem to apply.

Therefore, based on the p-value and under the assumptions of a good sampling technique and meeting normality conditions, we can conclude that there is a 4.01% chance that a random sample of 50 Bay Area community college students would average more than our sample's 18 hours of work per week if the true average for Bay Area community college students is 15 hours.

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Answer:

8.168

Step-by-step explanation:

Rounding would be 8.168

Answer:

Step-by-step explanation: 2 raised to 2 or 2^2  

is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4

Answer:

The answer is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

V= π(8)^2(12/3)

V= 64(4)π

V= 256π

V= 804.3 cm^3

Answer:

-54√3

Step-by-step explanation:

The recursive rule is: a(n) = a(n-1) + 6, where a1 = -14

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

an=6n-20

The explicit rule for the sequence can be written as:

an = 6n - 20

To write a recursive rule, we need to express each term of the sequence in terms of the previous term.

Let a1 = 6 * 1 - 20 = -14 be the first term.

Let a2 = 6 * 2 - 20 = -8

Let a3 = 6 * 2 - 20 = -2

So, we have

difference, d = -8 + 14

d = 6

Then, for n > 1, we can express each term as:

an = a(n-1) + 6

So the recursive rule is: a(n) = a(n-1) + 6

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

The magnitude of the fourth displacement is 230 m, and the direction is 45° east of south.

To determine the magnitude and direction of the fourth displacement, we can add up the individual displacements and analyze the resultant displacement.

Given:

First displacement: 190 m west

Second displacement: 230 m at 45° east of south

Third displacement: 270 m at 30° east of north

Let's analyze the displacements one by one:

1. The first displacement is 190 m straight west. Since it is a straight line in one direction, we only consider its magnitude and direction. The magnitude is 190 m, and the direction is due west.

2. The second displacement is 230 m at 45° east of south. To determine the components of this displacement, we can break it into its north-south and east-west components. The east-west component is given by 230 m * cos(45°), which is approximately 162.43 m, and the north-south component is given by 230 m * sin(45°), which is also approximately 162.43 m.

3. The third displacement is 270 m at 30° east of north. Similar to the second displacement, we can determine its components. The east-west component is 270 m * cos(30°), which is approximately 233.45 m, and the north-south component is 270 m * sin(30°), which is approximately 135 m.

Now, we can add up the east-west and north-south components separately:

East-West component: 162.43 m - 233.45 m = -71.02 m

North-South component: 162.43 m + 135 m = 297.43 m

To find the magnitude of the fourth displacement, we use the Pythagorean theorem:

Magnitude of the fourth displacement = sqrt((-71.02 m)^2 + (297.43 m)^2) ≈ 230 m

The magnitude of the fourth displacement is approximately 230 m.

To find the direction of the fourth displacement, we can use the inverse tangent function:

Direction of the fourth displacement = atan((-71.02 m) / (297.43 m)) ≈ -14.67°

However, since the question asks for the direction in degrees, we need to add 180° to the result to obtain the direction relative to the positive x-axis. Therefore, the direction of the fourth displacement is approximately 180° - 14.67° = 165.33°.

Hence, the magnitude of the fourth displacement is 230 m, and the direction is approximately 165.33° east of south.

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Answer:

Option (C) : y = 6 / 11

Step-by-step explanation:

To find Horizontal Asymptote of the function, you need to see degree of of numerator and denominator.

Since, the degrees of the numerator and denominator are the same,

Horizontal Asymptote = leading coefficient of the numerator divided byleading coefficient of the denominator

Therefore,

Horizontal Asymptote = 6 / 11

Answer:

The size of the figure which remains the same

Step-by-step explanation:

if the size of the figure, shape etc remains the same then there can not be a translation as nothing has moved making this a non-description of translation

Step-by-step explanation:

88910334.2834 that is the hard answer

The measurement that gives you the difference between the points on the scatterplot and the prediction line for the same value of x is the residual. Therefore, the correct answer is C. Residual.

In regression analysis, the residual represents the vertical distance between the observed data points and the corresponding predicted values on the regression line. It is calculated by taking the difference between the actual observed value and the predicted value for a specific value of the independent variable (x). The residuals provide a measure of how well the regression line fits the data, with smaller residuals indicating a better fit.

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The coefficient of multiple determination is B. 0.1225

The coefficient of multiple correlation is a measure of the linear relationship between multiple independent variables and a dependent variable. It ranges from -1 to 1, where 1 indicates a perfect positive relationship, -1 indicates a perfect negative relationship, and 0 indicates no relationship.

The coefficient of multiple determination, also known as R-squared, represents the proportion of the variance in the dependent variable that can be explained by the independent variables in a multiple regression model.

To find the coefficient of multiple determination, we square the coefficient of multiple correlation. In this case, since the coefficient of multiple correlation is 0.35, we square it to get the coefficient of multiple determination.

\( 0.35^2 = 0.1225 \)

So, the coefficient of multiple determination is approximately 0.1225.

Now, let's check which option from the given choices is the closest to 0.1225:

a. 0.10
b. 0.12
c. 0.14
d. 0.16

Based on our calculation, the coefficient of multiple determination is approximately 0.1225, which is closest to option b. Therefore, the correct answer is b. \( 0.12 \).

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Answer:

c

Step-by-step explanation:

Answer:

Line D is the answer because the y-intercept is negative because it starts at -2 and the slope is one half because well its kinda obvious! May I have brainliest? Hope this helps:)

Step-by-step explanation:

Answer:

Line D

Step-by-step explanation:

has negative y intercept and has slope of 1/2

Answer: 1. -13x4=-52

2. 9x(-3)=-27

3. -24: -21

4. -15x(-4)=80

Step-by-step explanation:

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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Answer:

\(9(x - 1)(x-3)\)

Step-by-step explanation:

\(9 {x}^{2} - 36x + 27\)

\(9x(x - 1) - 27(x - 1)\)

\((x - 1)(9x - 27)\)

9(x-1)(x-3)