what angle (in radians) corresponds to 0.25 rotations around the unit circle?

Answer:

y=-7

Step-by-step explanation:

(6,-7) is in the format (x,y), so y would be -7.

Answer:

y= -7

Step-by-step explanation:

(x,y)

That means x= 6 and y= -7

Answer:

The answer is x=3......…...…....…........….…………

Answer:

La respuesta sería 1

Step-by-step explanation:

x = 3

3 – 4 = 1

5 – 2 × 3 = 1

Answer:

7:5

Step-by-step explanation:

49/7 = 7 and 35/7 = 5

to get a ratio, divide both side by the same number that is a facttor for both.

Marcella is correct. A square is a type of rectangle.

A rectangle is a four-sided plane figure with four right angles. A trapezoid is a four-sided plane figure with one pair of parallel sides. Thus, it is not possible to draw a trapezoid that is also a rectangle. However, a square is a four-sided plane figure with four equal sides and all four right angles, making it a type of rectangle. Therefore, it is possible to draw a square that is a rectangle.

A rectangle is a four-sided plane figure with four right angles. A trapezoid is a four-sided plane figure with one pair of parallel sides.

Marcella is correct. A square is a type of rectangle.

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The value of a = ±2

The distance between two points \((x_1,y_1),(x_2,y_2)\) is,

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

In this question the coordinates of x are (a - 5, -2a). and the coordinates of y are (a + 1, 2a).

The distance between x and y is 10.

We need to find the value of a.

Using distance formula,

\(\Rightarrow 10=\sqrt{((a+1)-(a-5))^2+(2a-(-2a))^2} \\\\\Rightarrow 100=(a+1-a+5)^2+(2a+2a)^2\\\\\Rightarrow 100=6^2+(4a)^2\\\\\Rightarrow 100=36+16a^2\\\\\Rightarrow 64=16a^2\\\\\Rightarrow a^2=4\\\\\Rightarrow a=\pm 2\)

Therefore, the value of a = ±2

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6²-(8+8)

Hope it helps.

Do comment if you have any query.

Answer:

The answer is A

Step-by-step explanation:

Because if you see all of the choices on top of the row and you put them on a graph and you fold it on the y-axis you will see on the bottom row those are the reflection of the top row so I would go with A! I hope this helps you! Have a great day.

Answer:

y = - 1/3x - 1/3

Step-by-step explanation:

Slope: - 1/3

y-intercept: -2 - (- 1/3)(5) = - 2 + 5/3 = - 1/3

The given expression is,

To solve the above equation for a, first take the common factor a outside and simplify.

Cross multiplying,

Therefore, the value of a is 48.

Answer: For Jack's account, we can use the formula for simple interest:

I = P * r * t

where I is the interest earned, P is the principal (initial deposit), r is the interest rate, and t is the time in years.

So for Jack's account, we have:

I = 17250 * 0.06 * 6.5 = $6,682.50

For Collin's account, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

where A is the amount after t years, P is the principal (initial deposit), r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.

In this case, we know that Collin's account earns annual compound interest, so n = 1.

So for Collin's account, we have:

A = 17250 * (1 + 0.06/1)^(1*6.5) = $25,344.55

The interest earned on Collin's account is the difference between the amount after 6.5 years and the initial deposit:

I = 25344.55 - 17250 = $8,594.55

Therefore, Collin will earn more interest than Jack, and the difference is:

$8,594.55 - $6,682.50 = $1,912.05

So Collin will earn $1,912.05 more interest than Jack after 6 years.

Step-by-step explanation: ai helped me

Answer:

The point after the reflection: \((-4,-8)\)

Step-by-step explanation:

-Statement: If you reflect the point \((x,y)\) across x-axis or the y-axis, then the \(x\) and the \(y\) of the point can change either positive, negative or the same, depending on where the point is located on a graph.

-So, if you reflect the point \((-4,8)\) across x-axis, then the point after the reflection, would be \((-4, -8)\) :

The following point: \((-4, 8)\)

The point after the reflection: \((-4,-8)\)

Answer:

The answer is 231.56.

Step-by-step explanation:

To solve this problem, we can use the following steps:

Align the numbers by their decimal points and write them one below the other.

Add zeros to the right of the decimal point if needed to make the numbers have the same number of digits after the decimal point.

Subtract each pair of digits starting from the rightmost column and write the result below the line. If the top digit is smaller than the bottom digit, borrow 1 from the next column to the left and add 10 to the top digit.

Write a decimal point in the answer directly below the decimal points in the numbers.

Simplify the answer if possible by removing any trailing zeros after the decimal point.

Using these steps, we can solve the problem as follows:

 543.73

- 312.17

-------

 231.56

Sales in dollars made by a sales person are an example of quantitative data.

The correct answer choice is option B.

Quantitative data can be defined as data which measures of values or counts are expressed as numbers such as discreet and continuous data.

They help to measure types and are usually represented by symbol and numbers.

Hence, sales as well as revenue are qualitative data.

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Answer: 2968 trees and for 2 is 5118 stamps

Step-by-step explanation:

1st question = 2968

2nd question = 5118

Step-by-step explanation:

all you need todo for each sum is to add the two numbers together and that should get you an answer that is accurate

i hope this helped you!

Answer:

0.86 hour

Step-by-step explanation:

Jess jogs at a rate of 6 miles per hour.

The next time she jogs she increases her speed to a rate of 7 mile per hour.

The new rate of Jess's jogging is 7 miles per hour

How long will it take her to jog 6 miles?

Hence:

7 miles = 1 hour

6 miles = x hours

Cross Multiply

7 × x = 6 × 1

x = 6/7

x = 0.8571428571 hour

Approximately = 0.86 hour

It will take Jess 0.86 hour to jog for 6 miles

Answer:

Step-by-step explanation:

dont look at me go up

Answer:

yeah this is 8 units to the x axis, I hope I'm right! See ya! Any question or comments, pls tell me, thanks!

Step-by-step explanation:

In data analysis, significant characteristics refer to various aspects of the data that provide important information about its distribution, central tendency, variability, presence of outliers, and relationships.

The shape of the data distribution describes how the data points are distributed. It can be symmetrical, skewed to the left or right, or have other specific patterns.
The center of the data refers to the measure that represents the typical or average value. It can be measured using the mean, median, or mode.
The spread of the data indicates the variability or dispersion of the values. It can be measured using the range, interquartile range, or standard deviation.
Outliers are data points that significantly deviate from the rest of the data. They can impact the analysis and need to be carefully considered.
The form refers to the overall pattern or structure of the relationship between variables. It can be linear, quadratic, exponential, or have other forms.
When analyzing relationships between variables, it is important to determine the direction (positive or negative) and strength (weak, moderate, strong) of the relationship.
In the context of two-way tables, percentages can provide information about the distribution of variables across different categories or groups.
These characteristics help in understanding the nature of the data, identifying patterns, detecting outliers, and making informed decisions in data analysis and interpretation. They provide valuable insights into the data's properties, enabling researchers and analysts to draw meaningful conclusions and make informed decisions.

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The probability that the aggregate losses for the entire portfolio will exceed 6,000 can be determined by calculating the cumulative distribution function (CDF) of the Gamma distribution without using the Central Limit Theorem. Alternatively, using the Central Limit Theorem, the approximate probability can be estimated by treating the sum of 16 independent risks as a normal distribution with a mean of 4000 and a standard deviation of 4.

(a) Without using the Central Limit Theorem, the probability that the aggregate losses for the entire portfolio will exceed 6,000 can be determined by calculating the cumulative distribution function (CDF) of the Gamma distribution for the sum of 16 independent risks. Since each risk follows a Gamma distribution with parameters θ = 250 and α = 1, the sum of 16 risks will follow a Gamma distribution with parameters θ' = 16 * 250 = 4000 and α' = 16 * 1 = 16. By evaluating the CDF at the value of 6,000, we can find the probability that the aggregate losses exceed 6,000.

(b) Using the Central Limit Theorem, we can approximate the distribution of the sum of 16 independent risks as a normal distribution. According to the theorem, as the number of independent and identically distributed (IID) risks increases, the distribution of their sum approaches a normal distribution with mean μ' = n * μ and standard deviation σ' = √(n * σ^2), where n is the number of risks, μ is the mean of each risk, and σ is the standard deviation of each risk.

In this case, with 16 independent risks, the approximate distribution of the aggregate losses will be a normal distribution with mean μ' = 16 * 250 = 4000 and standard deviation σ' = \(\sqrt{ (16 * 1^2)}\) = 4. By calculating the probability that the normal distribution exceeds 6,000, we can estimate the approximate probability of the aggregate losses exceeding 6,000.

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Answer:$104

Step-by-step explanation:

Answer:

64%

Step-by-step explanation:

get all the inches and divide by the amount of circle C,then subtract the first 2 numbers by 100%

Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

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The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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The difference is StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

\(\frac{x}{x^{2} -2x-15} -\frac{4}{x^{2} +2x-35}\)

\(\frac{x}{x^{2} -5x+3x-15} -\frac{4}{x^{2} +7x-5x-35}\\\frac{x}{(x-5)(x+3)} -\frac{4}{(x-5)(x+7)}\)

by Taking LCM

\(\frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\\)

\(\frac{x^{2} +3x -12}{(x-5)(x+3)(x+7)} \\\)

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Answer: The correct answer is D on edge

Step-by-step explanation:

got it right on the pretest

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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The height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

As we can see the wire, wall and base making a right angle triangle;

So applying the Pythagoras theorem:

Supposing the length of the wall is x feet

16² = 9² + x²

x²= 175

x = √175 feet

Thus, the height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.

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a standard wooden pencil typically measures around 7 inches to 7.5 inches in length.

The average length of a pencil can vary depending on factors such as the type of pencil, region, and manufacturer. However, a standard wooden pencil typically measures around 7 inches to 7.5 inches in length. This range encompasses the most common lengths found in the market.

It's important to note that there may be slight variations in length between different pencil brands and styles. Additionally, specialty or novelty pencils may have different lengths based on their design or intended purpose.

To obtain a more accurate average length for a specific set of pencils or a particular region, you would need to measure a representative sample of pencils and calculate the average length based on the measurements obtained.

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Answer:

B. 7(x − 5)(y + 2)

Explanation:

A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)

B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)

C. 7(x − 2)(y + 5) = 7xy + 35x− 14y − 70 (Wrong)

D.  7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)

2nd one

Let's verify

\(\\ \rm\Rrightarrow 7(x-5)(y+2)\)

\(\\ \rm\Rrightarrow 7(xy-5y+2x-10)\)

\(\\ \rm\Rrightarrow 7xy-35+14x-70\)

Verified

Answer:

its 2

Step-by-step explanation:

because 2*2*2 is 8

a.) The percentage of scores that are greater than 72 = 45%

b.) The percentage of scores that are less than or equal to 75 = 75%

The total number of scorers in the recent Intro stats quiz = 20

The number of scores that are greater than 72 = 9

The percentage of scores that are greater than 72;

= 9/20 × 100/1

= 900/20

= 45%

The number of scores that are LESS THAN OR EQUAL to 75 = 15

The percentage of scores that are LESS THAN OR EQUAL to 75;

= 15/20 ×100/1

= 1500/20

= 75%

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