Identify the slope in the equation y= x - 2

Answer:

\((2x+7)(x+3)\)

Step-by-step explanation:

\(2x^2+13x+21\)

To solve, we will need to factor.

\(2x^2+13x+21\)

Now we got an answer!

\((2x+7)(x+3)\)

This is your answer!

Hope this helps!

Answer:

2740.5

Step-by-step explanation:

This is what I got why I did was multipley them

Answer:

2740.5

Step-by-step explanation:

This is what I got when I multipled

represent the days as a variable

days= x

remeber that 80c is the same as $0.80

write an equation that models this situation

solve the equation for x

according to this, after 31.875 days he will have enoght for the hat

Answer:

32 days

Step-by-step explanation:

25.50 / (.80 /day)=  31.875  days <===  so after 32 days he will have enough    

Loan repayment: Each semiannual payment is $879.92.

Machine cost: The equivalent uniform annual cost is $6,541.34.

Loan Repayment:

1. Calculate the semiannual interest rate: Divide the annual interest rate (8%) by the number of compounding periods per year (2) to get the semiannual interest rate (4%).

2. Calculate the number of compounding periods: Since the loan is repaid in four equal semiannual payments, there are a total of eight compounding periods (4 years x 2).

3. Calculate the present value factor: Use the formula for the present value of an annuity to calculate the present value factor for eight periods at a semiannual interest rate of 4%.

4. Determine the payment amount: Divide the loan amount ($3000) by the present value factor from step 3 to find the equal semiannual payment.

Machine Cost:

1. Calculate the semiannual interest rate: Divide the annual interest rate (8%) by the number of compounding periods per year (2) to get the semiannual interest rate (4%).

2. Calculate the number of compounding periods: Since the useful life of the machine is 6 years and compounding occurs semiannually, there are a total of 12 compounding periods (6 years x 2).

3. Calculate the future value factor: Use the formula for the future value of a single sum to calculate the future value factor for 12 periods at a semiannual interest rate of 4%.

4. Determine the equivalent uniform annual cost: Subtract the future value of the machine ($9,000) from the initial cost of the machine ($30,000) and divide by the future value factor from step 3 to find the equivalent uniform annual cost.

By following these steps and performing the calculations, you will determine the semiannual payment for the loan and the equivalent uniform annual cost of the machine.

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We can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

If there are integers s and t such that as + bt = 15, then we can conclude that gcd(a, b) divides 15. This is known as Bézout's identity, which states that for any two integers a and b, there exist integers s and t such that as + bt = gcd(a, b).

To see why this is true, consider the set of all linear combinations of a and b, that is, the set {ax + by : x, y are integers}. This set contains all multiples of gcd(a, b) since gcd(a, b) divides both a and b.

Therefore, gcd(a, b) is the smallest positive integer that can be expressed as a linear combination of a and b.

Now, if as + bt = 15, then 15 is a linear combination of a and b, which means that gcd(a, b) divides 15.

Conversely, if gcd(a, b) divides 15, then we can find integers s and t such that as + bt = gcd(a, b), and we can scale this equation to obtain as' + bt' = 15, where s' = (15/gcd(a, b))s and t' = (15/gcd(a, b))t.

Therefore, we can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

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To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

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Answer:

see explanation

Step-by-step explanation:

the total pound did the art club donate is 468 pound

Circle is centered at (0,3) with radius 3.

In the case of this polar equation, we can see that it represents a circle with center (0,3) and radius 3.

This is because the distance of a point from the origin, given by the polar coordinate r, is equal to 6sin(theta), which varies between -6 and 6 as theta varies between 0 and 2pi.

When we convert this to rectangular coordinates, we get equations for x and y in terms of theta that simplify to the equation of a circle.

In mathematics, polar coordinates are a system of coordinates used to locate a point in a plane.

The polar equation given is \(r=6sin(\theta)\), where \(r\) represents the distance of a point from the origin, and \(\theta\) represents the angle between the line connecting the point and the origin, and the positive x-axis.

To convert this polar equation to a rectangular equation, we can use the following relationships:

\(x=r\cos(\theta)\)

\(y=r\sin(\theta)\)

Substituting \(r=6sin(\theta)\), we get:

\(x=6sin(\theta)\cos(\theta)\)

\(y=6sin^2(\theta)\)

Simplifying these expressions using the trigonometric identity \(sin^2(\theta)+cos^2(\theta)=1\), we get:

\(x=3sin(2\theta)\)

\(y=3(1-cos^2(\theta))\)

\(y=3-3cos^2(\theta)\)

Therefore, these equations represent a circle centered at (0,3) with radius 3.

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From given data:

The number of blocks that could fit in one box is:

Now the number os blocks could fit in three box is:

For given cone, the surface area  is approximately 970.26 meter² i.e. none of the above.

What exactly is a cone?

A cone is a three-dimensional geometric form with a smooth taper from a flat base (typically circular) to a point known as the apex or vertex. It seems to be a three-dimensional triangle with a circular base. A cone's height is the distance between its vertex and the plane of its base. The radius of the base is the distance between the circular base's centre and its perimeter. A cone's surface area includes the area of its base as well as the area of its curving surface.

Now,

The surface area (A) of a cone can be calculated using the formula:

A = πr² + πrs

where r is the radius of the base, s is the slant height, and π is approximately equal to 3.14.

Plugging in the given values, we get:

A = π(6.9)² + π(6.9)(20.6)

A = 149.57π + 425.59

A ≈ 970.26 m²

Therefore, the surface area of the given cone is approximately 970.26 square meters which is none of the above.

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To increase usability in a spreadsheet, you can use comments, descriptive labels, and data validation.

To increase usability in a spreadsheet, you can utilize the following techniques:

1. Comments: Comments allow you to add explanatory notes or instructions within cells. They can provide additional context or clarify the purpose of certain data or formulas. Users can view comments by hovering over the respective cell, making it helpful for collaboration and documentation.

2. Descriptive Labels: Instead of relying solely on cell references or generic labels, use descriptive labels that clearly indicate the purpose of each column, row, or range of cells. This approach enhances readability and makes it easier for users to understand the data and navigate through the spreadsheet.

3. Data Validation: Implement data validation rules to ensure the accuracy and integrity of the data entered into the spreadsheet. Data validation allows you to define constraints or conditions for input, such as numeric ranges, predefined lists, or specific text formats. It helps prevent errors and assists users in entering valid data.

4. Formatting: Properly formatting the cells, columns, and rows can greatly enhance usability. Use consistent formatting for similar types of data, apply color schemes or conditional formatting to highlight important information or trends, and adjust the column widths and row heights to optimize readability.

5. Sheet Organization: Organize the spreadsheet by using multiple sheets if needed. Group related information on separate sheets, and provide clear sheet names that reflect the content or purpose of each sheet. This helps users locate and navigate to specific sections or data within the spreadsheet.

6. Clear Instructions or Documentation: Provide clear instructions or documentation either within the spreadsheet or as separate documentation. Explain the purpose of the spreadsheet, any specific procedures or workflows, and how to interpret the data or use any embedded formulas or macros. This helps users understand the spreadsheet's functionality and ensures consistent usage.

7. Error Handling: Implement error handling mechanisms to provide informative error messages or alerts when users input incorrect or incompatible data. Clear error messages guide users in correcting their input and reduce frustration when dealing with potential errors.

By incorporating comments, descriptive labels, data validation, formatting, sheet organization, clear instructions/documentation, and error handling, you can significantly enhance the usability of your spreadsheet and make it more user-friendly for both yourself and others who interact with it.

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Answer:

A

Step-by-step explanation:

If you look at the number of dots in each circle, it is increased by 1 every picture so if we have 4 in the third circle, then we will have 5 in the fourth picture. Option A is the only option that contains 5 dots.

Best of Luck!

since its 25% on each of the 4 years then it becomes 100%, but because its decreasing then that means it is half of $2300, which is $1150.

The answer is $1150

Answer:

Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do

Step-by-step explanation: what app and ok

The Yosemite bill was introduced in Congress 5 times before it was passed into law. The first time it was introduced was in 1864, and it took until 1890 for it to finally pass.

This tells us a few things about the people involved in the process. First, it tells us that they were persistent. They didn't give up on their goal of protecting Yosemite, even though it took them many years to achieve it. Second, it tells us that they were willing to compromise. The original bill proposed that Yosemite Valley and Mariposa Grove be granted to the State of California. However, the final bill that was passed granted the land to the federal government. This shows that the people involved were willing to work together to find a solution that would benefit everyone involved.

Here are the details of the different times the Yosemite bill was introduced in Congress:

1864: The Yosemite Valley Grant Act was introduced by Representative John Conness of California. The bill was passed by the House of Representatives, but it died in the Senate.

1865: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, but it was vetoed by President Andrew Johnson.

1869: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Ulysses S. Grant.

1889: The Yosemite National Park Act was introduced by Representative William Vandever of Iowa. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Benjamin Harrison.

1890: The Yosemite National Park Act was amended to add the Mariposa Grove of Giant Sequoias to the park. The amendment was passed by both the House of Representatives and the Senate, and it was signed into law by President Harrison.

The Yosemite bill was a major victory for conservationists. It protected a beautiful and unique landscape from development and ensured that it would be available for future generations to enjoy. The fact that it took so many years to pass the bill shows the challenges that conservationists face in protecting our natural resources. However, it also shows that with persistence and compromise, it is possible to achieve great things.

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Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

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Answer:

The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles

Step-by-step explanation:

Average speed = 400 miles per hour

Distance = 400t

t= 5

Total distance = 400t at t hours

Total distance when t = 5 hours

Total distance travelled = 400t

= 400 × 5

= 2,000 miles

Total distance travelled = 2,000 miles

The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles

.

Answer:

No

Step-by-step explanation:

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third ...

18 + 21   = 38   are not more than 39  

Answer:No,the side of lengths 18m,21m and 39m could not form a

Step-by-step explanation:

To form a triangle, the sum of any two sides must be greater than the third side.

here,

18m + 21m = 39m

the sum to two side is equal to third side that is 39m

that's why these three sides cannot form any triangle

Answer:

it's sideways please turn it so i can read it and help.

Step-by-step explanation:

Answer:

x= 20

Step-by-step explanation:

hope this helps :>

x+10+2x+20=90

x=20

The probability that a student's score is less than 81 points on the reading ability test is 0.9772. We would expect approximately 489 students to earn a score less than 81 points if 500 students took the reading ability test. The probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.

To find the probability that a student's score is less than 81 points, we need to standardize the score using the z-score formula:

z = (x - μ) / σ

where x is the student's score, μ is the mean score, and σ is the standard deviation. Plugging in the values, we get:

z = (81 - 65) / 8 = 2.00

Using a standard normal distribution table or calculator, we can find the probability of a z-score less than 2.00 to be approximately 0.9772. Therefore, the probability that a student's score is less than 81 points is 0.9772.

Since the distribution is normal, we can use the normal distribution to estimate the number of students who would earn a score less than 81. We can standardize the score of 81 using the z-score formula as above and use the standardized score to find the area under the normal distribution curve. Specifically, the area under the curve to the left of the standardized score represents the proportion of students who scored less than 81. We can then multiply this proportion by the total number of students (500) to estimate the number of students who would score less than 81.

z = (81 - 65) / 8 = 2.00

P(z < 2.00) = 0.9772

Number of students with score < 81 = 0.9772 x 500 = 489

Therefore, we would expect approximately 489 students to earn a score less than 81 points.

The distribution of the sample mean reading ability test scores is also normal with mean μ = 65 and standard deviation σ / sqrt(n) = 8 / sqrt(35) ≈ 1.35, where n is the sample size (number of students in the sample). To find the probability that the sample mean score is between 66 and 68, we can standardize using the z-score formula:

z1 = (66 - 65) / (8 / sqrt(35)) ≈ 0.70

z2 = (68 - 65) / (8 / sqrt(35)) ≈ 2.08

Using a standard normal distribution table or calculator, we can find the probability that a z-score is between 0.70 and 2.08 to be approximately 0.2190. Therefore, the probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.

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9514 1404 393

Explanation:

As you know, the correct answer choices are marked.

__

Translation can be accomplished by reflecting across two parallel lines. The amount of translation is double (twice) the distance between the lines. Any two lines with the same spacing will give the same translation.

Here, the translation is 4 up and 4 right. The amount by which each point is translated is 4√2 units in the direction "northeast", that is, along a line with a slope of 4/4 = 1.

Any line of reflection is a perpendicular bisector of the segment joining the original point and its image. This means we need to identify two lines that have a slope of -1 and that are separated by (4√2)/2 = 2√2 units.

The attachment shows that two lines with this slope that have a separation of 2√2 will have y-intercepts that differ by 4. (The lines shown happen to be the correct answer choices.)

The offered choices of lines have y-intercepts of {5, 6} and {10, 12}. The only pair of lines with y-intercepts that differ by 4 are y=-x+6 and y=-x+10.

_____

Additional comment

We have made sort of a qualitative argument for the correct answer. If you like, you can say that the two lines of reflection each cause the image to be located halfway to its destination. That mean, for example, for point R(2,2), the first image point is R'(4,4). The line of reflection, as we said above, is the perpendicular bisector of this. It will have a slope of -1 and go through the point (3, 3), so its equation is ...

  y -3 = -1(x -3)   ⇒   y = -x +6

Similarly, the second (final) image point is R''(6,6). We can find the other line of reflection to be one that has a slope of -1 and goes through the point (5, 5). Its equation is ...

  y -5 = -1(x -5)   ⇒   y = -x +10

These are two of the equations that are offered as answer choices, so should be selected.

As we said at the beginning, any lines with this spacing will do. We cannot presume at the start that each line of reflection will move the image half the distance.

Answer:

Step-by-step explanation:

Amount is expressed as \(A = P(1+\frac{r}{n} )^{nt} \\\)

A is the amount compounded after 2 years

P is the amount deposited (Principal)

r = rate (in %)

t = time taken (in years)

n = 1 year (since interest was compounded annually)

Given P = $818, r = 4%, t = 2 years

On substituting;

\(A = 818(1+0.04)^{2} \\A = 818(1.04)^{2}\\A = 818(1.0816)\\A = 884.749\)

Therefore, balance on the deposit of $818, earning 4% interest compounded annually for 2 years is $884.749

The balance on a deposit of $818, earning 4% interest compounded annually for 2 years is $884.749.and this can be determined by using the compound interest formula.

Given :

The balance on a deposit of $818, earning 4% interest compounded annually for 2 years.

The formula of compound interest can be used to determine the final balance. The formula of compound interest is given by:

\(\rm A= P(1+\dfrac{r}{n})^{nt}\)      ---- (1)

where A is the final amount, P is the initial amount, n is the number of times interest applied,  and t is the number of time periods elapsed.

Now, substitute the value of known terms in equation (1).

\(\rm A = 818(1+\dfrac{0.04}{1})^{1\times 2}\)

\(\rm A = 818(1.04)^2\)

A = $884.749

So, the balance on a deposit of $818, earning 4% interest compounded annually for 2 years is $884.749.

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Answer:

-10

Step-by-step explanation:

If the equation is 2 x 3+4 x 2-3 x 2- 6(x)=  .  Than the equation would turn into  2 x 3+4 x 2-3 x 2- 6(3) which equals -10.

Answer:

-0.375

Step-by-step explanation:

you just divide the numbers.

Answer: BUY THEM

Step-by-step explanation:

Answer:

(12÷s)·60

Step-by-step explanation:

The hours it takes is 12/s so you multiply 60 to get the minutes. Next time, I would reccomend asking for help from the teacher or doing homework help, instead of putting all the RSM questions online. Thank you and have a good day :)

Answer:

12/s

Step-by-step explanation:

A 95% confidence interval for the estimated proportion of Canadians who refused the H1N1 vaccination can be calculated as follows:

Let p be the true proportion of Canadians who refused the vaccination.

The sample proportion is estimated by:

p_hat = 700 / 1000 = 0.7

The standard error of the sample proportion is:

SE = sqrt(p_hat * (1 - p_hat) / 1000) = sqrt(0.7 * 0.3 / 1000) = 0.0247

Using a normal approximation and a z-score of 1.96 (corresponding to a 95% confidence level), the confidence interval can be calculated as:

p_hat +/- z * SE = 0.7 +/- 1.96 * 0.0247 = [0.6511, 0.7489]

So, with 95% confidence, we can estimate that the true proportion of Canadians who refused the H1N1 vaccination lies between 0.6511 and 0.7489.

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Answer:

Step-by-step explanation:

f(x)=(x−6)2 f ( x ) = ( x - 6 ) 2. Replace f(x) f ( x ) with y y . y=(x−6)2 y = ( x - 6 ) 2. Interchange the variables. x=(y−6)2 x = ( y - 6 ) 2.