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An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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Answer:

8 is the correct answer because coefficient lies before Exponent. Exponent is variable

So 8 is the coefficient.

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Answer:

11.5 ft

Step-by-step explanation:

Take the cone formula:

V = 3.14 * 1^2 * 11/3 = 11.5 ft

The circumference of the circle is 2 * pi * 9 = 56.5 feet. So, the degree measure is (6/56.5) x 360 = 51.1 degrees. Rounded to two decimal places, the degree measure is 51.1 degrees.

To find the degree measure of an angle that subtends an arc of length 6 feet on a circle of radius 9 feet, use the formula: degree measure = (arc length / circumference) x 360 degrees.

The degree measure of the angle that would subtend an arc of length 6 feet on a circle of radius 9 feet can be found by using the formula:

degree measure = (arc length / circumference) * 360

The circumference of the circle is 2 * pi * 9 = 18 * pi

So, degree measure = (6 / (18 * pi)) * 360 = (6 / 18) * (360 / pi) = 60 / pi

To convert this to degrees, we can use an approximation of pi as 3.14, so

degree measure = 60 / 3.14 = 19.11

Rounding to two decimal places, the degree measure is 19.11, which can be rounded to 19.11 degrees.

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Answer:

A. Sam owes his dad $12.50

Step-by-step explanation:

Because the two numbers are negatives, it represents that he is in a negative balance meaning that he owes someone the money. Then if you do the basic math, -2.5 - 10 = -12.50.

Answer:

The answer would be B

Step-by-step explanation:

its B becasue its the only explanation that makes sense

P.S I actually know the other questions don't make sense

Your welcome!

Answer:

C) 54 seconds

Step-by-step explanation:

I think "C" is the correct!! Sorry if I'm wrong!!

BRAINILEST PLZZZ

The sample size of the data set is the total number of plants in the experiment. The mean is the average of the data set, the standard deviation is the measure of how much the values in the data set vary from the mean, and the standard error is a measure of the accuracy of the mean.

The sample size of the data set is the total number of plants in the experiment and can be determined by counting the total number of plants in the experiment. The mean is the average of the data set and can be calculated by taking the sum of all the values divided by the sample size. The standard deviation is the measure of how much the values in the data set vary from the mean and can be calculated by taking the square root of the sum of all the squared differences divided by the sample size minus one. The standard error is a measure of the accuracy of the mean and can be calculated by taking the standard deviation divided by the square root of the sample size.

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Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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Answer:

16 (4x4)

25 (5x5)

36 (6x6)

Step-by-step explanation:

Answer:

68°

Step-by-step explanation:

Total angle in a quadrant = 90°

x + 22° = 90°

x = 90 - 22

x = 68°

Answer: 28/45

Step-by-step explanation:

Answer: Please check attached image

Using the slope and y - intercept of the graph, the slope-intercept form of the graph is y = -5/6x - 2

A straight line is a figure formed when two points A (x1, y1) and B (x2, y2) are connected with minimum distance between them, and both the ends extended to infinity. The slope intercept form of linear equation is given as

y = mx + c

In this problem, we can take two points across the line and find the slope and then easily determine the y - intercept from the graph.

Taking points A and B;

A = (-6, 3) and B = (6, -7)

The formula for slope is given as;

m = y₂ - y₁ / x₂ - x₁

Substituting the values into the formula

m = -7 - 3 / 6 - (-6)

m = -5/6

The y - intercept from the graph is at -2

The equation of the line is y = -5/6x - 2

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Answer:

2 months-

Step-by-step explanation:

verizon: $40+82+82=$204

Tmobile:$98+53+53+$204

The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

Answer: it doesn’t make sense why you have random numbers underneath that inequality sentence. But if anything it would look like 6+2 < 9+3

Step-by-step explanation:

This < equals less than, or more than depending on what number it’s facing. Think of it as an alligator that eating the specific number (or larger number bc its hungry) so whatever the open side is facing is a more than but the number the closed side is facing is less than.

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

y = 25x + 200

Step-by-step explanation:

y =  the total cost of the party

x = the number of guests

75/3 = 25

25 is the cost per guest.

Helping in the name of Jesus.

Answer:

The price that maximizes the revenue is $165

Step-by-step explanation:

We can model the price as a function of sold units as a linear relationship.

Remember that a linear relationship is something like:

y = a*x + b

where a is the slope and b is the y-intercept.

We know that if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

For this line, we have the point (40, $110)

which means that to sell 40 units, the price must be $110

And we know that if the price increases by $11, then he will sell 2 units less.

Then we also have the point (38, $121)

So we know that our line passes through the points (40, $110) and  (38, $121)

Then the slope of the line is:

a = ($121 - $110)/(38 - 40) = $11/-2 = -$5.5

Then the equation of the line is:

p(x) = -$5.5*x + b

to find the value of b, we can use the point (40, $110)

This means that when x = 40, the price is $110

then:

p(40) = $110 = -$5.5*40 + b

            $110 = -$220 + b

       $110 + $220 = b

        $330 = b

Then the price equation is:

p(x) = -$5.5*x + $330

Now we want to find the maximum revenue.

The revenue for selling x items, each at the price p(x), is:

revenue = x*p(x)

replacing the p(x) by the equation we get:

revenue = x*(-$5.5*x + $330)

revenue = -$5.5*x^2 + $330*x

Now we want to find the x-value for the maximum revenue.

You can see that the revenue equation is a quadratic equation with a negative leading coefficient. This means that the maximum is at the vertex.

And remember that for a quadratic equation like:

y = a*x^2 + b*x + c

the x-value of the vertex is:

x = -b/2a

Then for our equation:

revenue = -$5.5*x^2 + $330*x

the x-vale of the vertex will be:

x = -$330/(2*-$5.5) = 30

x = 30

This means that the revenue is maximized when we sell 30 units.

And the price is p(x) evaluated in x = 30

p(30) = -$5.5*30 + $330 = $165

The price that maximizes the revenue is $165

Answer:

A.

Step-by-step explanation:

Volume of cone = 1/3πr²h

= (1/3)(3.14)(1.5)²(5)

= (1/3)(3.14)(2.25)(5)

= (1/3)(35.3)

= 11.78

≈ 11.8 cubic inches

Answer:

Step-by-step explanation:

To determine which inequality (or inequalities) contains the set {-1.7, -0.8, 0.5, 1.25}, we can plug in each of these values into each of the inequalities and see which ones are true.

For example, if we plug in -1.7 into each of the inequalities, we get:

-1.7 < 2

-1.7 > -3

-1.7 + 2 > 0

-1.7 - 2 < 0

Out of these four inequalities, only the second one (-1.7 > -3) is true.

Similarly, if we plug in the other values, we get:

-0.8 < 2

-0.8 > -3

-0.8 + 2 > 0

-0.8 - 2 < 0

0.5 < 2

0.5 > -3

0.5 + 2 > 0

0.5 - 2 < 0

1.25 < 2

1.25 > -3

1.25 + 2 > 0

1.25 - 2 < 0

From this, we see that all four values are greater than -3 and less than 2, so the set {-1.7, -0.8, 0.5, 1.25} is included in the solution set to the inequality -3 < x < 2.

Therefore, the answer is: -3 < x < 2.

Printing money could create more problems than it solves.

Money is a current medium of exchange in the form of coins and banknotes collectively.

Given is that to answer the problems with unlimited printing of money.

Therefore, printing money could create more problems than it solves.

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The number of terminating zero when the number 6311! is  multiplied out is 252

In mathematics, trailing zeros are a series of digits (usually 0) that follow a number's decimal form or, more broadly, any positional representation.

In mathematics, the term "factorial" refers to the product of all positive integers that are less than or equal to a certain positive integer, which is followed by an exclamation point.

Thus, factorial five is denoted by the symbol 5!, which stands for 1 * 2 * 3 * 4 * 5. Factorial 0 is equivalent to 1 by definition.

For the problem 6311! has 252 trailing zeros

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Answer:

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

Terminated zeros at the end of number n! is found as the sum of the whole quotients of n and powers of 5 less than n.

Given:

This is greater than 5⁵ = 3125 but less than 5⁶ = 15625.

Find each quotient of 6311 and 5¹ through 5⁵ :

Sum of the quotients is the number of terminating zeros:

There are no two Real numbers that add up to -2 and multiply to 10.

The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:

Equation 1: x + y = -2

Equation 2: x * y = 10

To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:

1. Solve Equation 1 for x:

  x = -2 - y

2. Substitute the value of x in Equation 2:

  (-2 - y) * y = 10

3. Simplify the equation:

  -2y - y^2 = 10

4. Rearrange the equation to standard form:

  y^2 + 2y + 10 = 0

5. Since the equation is a quadratic equation, we can apply the quadratic formula:

  y = (-b ± √(b^2 - 4ac)) / (2a)

  In this case, a = 1, b = 2, and c = 10.

6. Calculate the discriminant: b^2 - 4ac:

  2^2 - 4(1)(10) = 4 - 40 = -36

7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.

In conclusion, there are no two real numbers that add up to -2 and multiply to 10.

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The equation (x + 3)²+ (y - 5)² = 16 represents a circle with center Z(-3,5) and a radius of 4 units.

The correct option is D.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

Given:

A circle with center Z(-3,5) and a radius of 4 units.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

So, the equation is,

(x + 3)²+ (y - 5)² = 4²

(x + 3)²+ (y - 5)² = 16

Therefore, the equation is (x + 3)²+ (y - 5)² = 16.

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The Banzhaf power distribution of the weighted voting system will be 34, 31, and 30.

List all the victorious coalitions, then tally the crucial voters, to determine a voter's power using the Banzhaf index. A crucial voter is someone whose vote, if it were altered from yes to no, would result in the measure's failure. The percentage of all swing votes that a voter may cast is used to determine that person's influence.

[30: 18, 16, 13, 12]

P₁, P₂ = 18 + 16 = 34

P₁, P₃ = 18 + 13 = 31

P₁, P₄ = 18 + 12 = 30

P₂, P₃ = 16 + 13 = 29

P₂, P₄ = 16 + 12 = 28

P₃, P₄ = 13 + 12 = 25

The Banzhaf power distribution of the weighted voting system will be 34, 31, and 30.

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