What is the slope of the line that contains these points?

The rule to describe the translation is (x -1 ) and (y + 2)

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way.

Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape.

Every point in the shape is translated the same distance in the same direction.

From the diagram all the points move from right to left one unit which is in the negative x-direction which make she x coordinates move by( x - 1) and they move 2 units up to the positive (y + 2)

In conclusion the rule for he translation from point (x, y) to the new point is (x-1), (y +2)

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The distance your car will go with one turn of the wheels is a circumference, as it is the length of the perimeter of the wheel.

Answer: B. Circumference​

the Earth distance represented by 7 inches on a map with a scale of 1:250,000 is approximately 27.7 miles.

To convert the given measurements from inches to miles, we will use the given map scale, 1:250,000.1:250,000 represents one unit on the map to 250,000 units on Earth.

Let's convert the given measurement, 7 inches, to miles:

1 inch = 1/63,360 miles (approximately)7 inches = 7/63,360 miles (approximately)

Now, we will use the map scale to convert the Earth distance to miles:

1:250,000 = 1 unit on map: 250,000 units on Earth

Earth distance = 250,000 × (7/63,360) miles

Earth distance = 27.7 miles (approximately)

Therefore, the Earth distance represented by 7 inches on a map with a scale of 1:250,000 is approximately 27.7 miles.

Rounded to one decimal place, the answer is 27.7 miles.

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Answer:

What is the question?! I don't understand, sry?!

Step-by-step explanation:

The sum of the 40th and 60th percentiles of the normal distribution with mean = 8.2 and variance = 9.5 is 16.4.

The mean and variance of the normal distribution are 8.2 and 9.5 respectively. It is known that the 50th percentile is equal to the mean, i.e., 8.2. And, the variance is the square of the standard deviation. So, the standard deviation is 3.0822 (square root of 9.5).

We know that the normal distribution is symmetric about its mean. So, we can use this fact to calculate the 40th and 60th percentiles of the distribution by subtracting and adding a certain number of standard deviations from the mean.

Let's find the value of the number of standard deviations from the mean that corresponds to the 40th percentile. For that, we use the standard normal distribution table. The table gives the values of the cumulative distribution function (CDF) for the standard normal distribution. The CDF represents the area under the standard normal curve up to a certain point.

Therefore, we look for the area that corresponds to the 40th percentile, which is the area to the left of that point on the curve. From the table, we find that the area under the curve to the left of a z-score of -0.25 is 0.4013.

So, we have: -0.25 = (x - 8.2) / 3.0822

where x is the value corresponding to the 40th percentile. Solving for x, we get x = 7.2289. Similarly, we can find the value corresponding to the 60th percentile, which is 9.1711. Thus, the sum of the 40th and 60th percentiles is:

7.2289 + 9.1711 = 16.4.

So, the sum of the 40th and 60th percentiles of the normal distribution with mean = 8.2 and variance = 9.5 is 16.4.

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A total of 11492 packages are needed to cover a rectangular floor.

What is a rectangle?

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Given, One-square foot floor tiles come in 26 packages.

dimension of rectangular floor = 17 feet by 26 feet

Then, total area = 17*26 = 442 square foot

So, total packages needed = 442*26 = 11492

Hence, a total of 11492 packages is needed to cover a rectangular floor.

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Answer:

DF=2.68

Step-by-step explanation:

Given that the triangles, ABC and DEF are similar to each other, applying the theorem of similar triangles, the length of:

a. Segment DF = 2.68

b. Segment EF = 2.01

Recall the following about Triangles that are similar:

Thus:

Given that \(\triangle\)ABC and \(\triangle\)DEF are similar, therefore:

AB/DE = BC/EF = AC/DF

Length of Segment DF:

Using AB/DE = AC/DF,

AB = 2

AC = 4

DE = 1.34

DF = ?

\(\frac{2}{1.34} = \frac{4}{DF}\)

\(\frac{2}{1.34} = \frac{4}{DF}\\\\DF = \frac{4 \times 1.34}{2} \\\\\mathbf{DF = 2.68}\)

Length of Segment EF:

Using AB/DE = BC/EF,

AB = 2

BC = 3

DE = 1.34

EF = ?

\(\frac{2}{1.34} = \frac{3}{EF}\)

\(\frac{2}{1.34} = \frac{3}{EF}\\\\EF = \frac{3 \times 1.34}{2} \\\\\mathbf{EF = 2.01}\)

Therefore, given that the triangles, ABC and DEF are similar to each other, applying the theorem of similar triangles, the length of:

a. Segment DF = 2.68

b. Segment EF = 2.01

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The price of the sneakers has increased by $18 since they were purchased. The current price of the sneakers would be the sum of the original price ($120) and the price increase ($18), resulting in a new total price of $138.

When a pair of designer sneakers was purchased for $120, their price increased by 15% over time. To calculate the price increase, we can multiply the original price by the percentage increase.

15% of $120 can be calculated as:

($120 * 15%) = $18

Therefore, the price of the sneakers has increased by $18 since they were purchased. The current price of the sneakers would be the sum of the original price ($120) and the price increase ($18), resulting in a new total price of $138.

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If you agree to be a part of your friend's partnership business, you will receive $5,000 at the end of each of the next 6 years.

To calculate the equivalent amount needed in one large payment at the end of year 6, we need to consider the time value of money. The discount rate represents the rate of return required for an investment to be considered worthwhile. In this case, the partnership generates a 3% annual return.

Using the concept of present value, we can calculate the equivalent amount needed. We need to find the present value of receiving $5,000 at the end of each year for 6 years, discounted at a rate of 3% per year.

The formula to calculate the present value of an annuity is:

PV = PMT * \([(1 - (1 + r)^(-n)) / r]\)

Where PV is the present value, PMT is the payment amount, r is the discount rate, and n is the number of periods.

Substituting the given values, we have:

PV = $5,000 *\([(1 - (1 + 0.03)^(-6)) / 0.03]\)

Solving this equation will give us the equivalent amount needed in one large payment at the end of year 6.

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Answer:

b. interaction effect

Step-by-step explanation:

In a regression model, the interaction effect is present when a predictor variable changes the effect of another predictor variable on the outcome.

In a regression model, the interaction effect exists when one predictor variable impacts the outcome of another predictor variable differently than when examined individually. It refers to the interaction between two or more predictor variables and their influencers on an outcome or response variable. For example, in a regression model, studying and having a quiet place may individually contribute to a better score on a test, but perhaps studying in a quiet place provides a significantly better effect than the sum of those two effects separately. This would be considered an interaction effect.

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Answer:

13.86

Step-by-step explanation:

\(8^2+x^2=16^2\\64+x^2=256\\x^2=192\\\sqrt{x^2} =\sqrt{192} \\x=13.86\)

Answer

put 1 on top and exo on bottom

Step-by-step explanation:

The total probability rule is used when an an analyst is interested in a)all potential outcomes. So, correct option is a.

Probability is the branch of the mathematics concerning numerical descriptions of how likely an event is going to occur, or how likely it is that a proposition is true. The probability of an event is the number between 0 and 1, where, roughly speaking, 0 indicates that impossibility of the event and 1 indicates certainty. If  probability of an event is higher then, the more likely it is that the event will occur.

Probability can be defined as the proportion  of the number of favorable outcomes to the total number of outcomes of an event..

Hence, option a is correct.

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A higher R-squared value indicates a better fit of the regression model to the data.

R-squared is a statistical measure that is commonly used to evaluate the goodness of fit of a regression model.

To understand how R-squared works, let's first review the concept of regression. Regression analysis is a statistical technique used to explore the relationship between two or more variables.

In a simple linear regression, we have a dependent variable (Y) and an independent variable (X), and we are trying to find a line of best fit that can predict the value of Y based on X.

Now, let's assume that we have a set of data points for Y and X. We can use regression analysis to find the line of best fit that minimizes the distance between the predicted values and the actual values of Y. The sum of the squared errors between the predicted and actual values of Y is called the regression sum of squares (SSR).

SSR is an important component in calculating R-squared. To find R-squared, we divide SSR by the total sum of squares (SST), which is the sum of the squared differences between the actual values of Y and the mean of Y. The resulting value of R-squared ranges from 0 to 1, with higher values indicating a better fit of the regression model to the data.

In mathematical terms, R-squared can be expressed as:

R-squared = SSR / SST

Therefore, to find the value of R-squared, we first need to calculate SSR using the formula within it. Once we have SSR and SST, we can divide SSR by SST to obtain the value of R-squared.

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Given, Total amount, $4,200

Time, 18years

Concept used

An amount that a borrower must pay to a lender as interest during the course of a loan, stated as a percentage of the loan amount.

All interest is a percentage that is added to or collected from a one-time payment. A type of interest known as compound interest is based on multiplying the original.

The answer is 6.2%.

If the interest rate i is = x

$4,200× (1+x/365)^18 ×365= $5,600

= (1+x/365)^6570= 100/38.2

=0.4712

x= 9/365

=0.0246× 100

= 2.46%

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Answer:

0.8%

Step-by-step explanation:

Answer:

3,645 per year

Step-by-step explanation:

10% of 36,450 = 3645

It loses 3,645 every year

The cost is the cost per pound times the number of pounds minus the coupon.

If \(p\) pounds are purchased, she will pay \(3.50p-3.25\).

If 3 pounds are purchased, she will pay 3.50(3)-3.25=7.25.

Answer:

It's C. I'm sure

Step-by-step explanation:

The following is an assembly program that calculates the value of the given polynomial, assuming signed integers x and y are stored in register r2 and r3, respectively.

\(```.LIST.ALIGN 4    .GLOBAL _start_start:    PUSH {R4, R5, LR}\)
   \(MOV R4, R2        // R4 < - x    MOV R5, #2        // R5 < - 2\)\(MUL R4, R4, R4    // R4 < - x^2    MUL R4, R4, R5    // R4 < - 2x^2    MOV R5, #3        // R5 < - 3\)
  \(ADD R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2    MOV R5, #5        // R5 < - 5    MUL R5, R5, R2    // R5 < - 5x\)
  \(SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x    MOV R5, #11       // R5 < - 11    SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x - 11\)
  \(MOV R3, R4        // R3 < - y    POP {R4, R5, PC}.END```\)

Explanation: The polynomial is given as

\(`y = 2x^4 + 3x^2 - 5x - 11`.\)

To calculate this polynomial in assembly language, we need to perform the following steps:

Load the value of `x` into a register. We assume that `x` is stored in register `r2`.

Calculate \(`2x^2`\) and add \(`3x^2`\) to it. We first square the value of `x` by multiplying it with itself and then multiply it with `2`. We then add \(`3x^2`\) to this result. We store this result in register `r4`.

Calculate `5x` and subtract it from the result of step 2. We first multiply the value of `x` with `5` and then subtract it from the result of step 2. We store this result in register `r4`.

Subtract `11` from the result of step 3. We subtract `11` from the result of step 3 and store this result in register `r4`.

Load the value of `y` into a register. We assume that `y` is stored in register `r3`.

Return from the subroutine. We pop the registers from the stack and return from the subroutine.

The assembly program that is used to calculate the value of a given polynomial assuming signed integers x and y are stored in registers r2 and r3, respectively. The polynomial given is\(y = 2x4 + 3x² - 5x - 11\). In this assembly program, we load the value of x into a register, calculate 2x^2, add 3x^2 to it, subtract 5x from the result, and subtract 11 from the final result. The value of y is then stored in a register, and we return from the subroutine.

This assembly program is designed for 32-bit ARM architecture, and it can be run on any ARM processor. The program is written in ARM assembly language, which is a low-level programming language used to write programs that run on ARM processors. It is a complex language that requires a deep understanding of the processor architecture and instruction set.

In conclusion, the assembly program presented here can be used to calculate the value of a given polynomial using signed integers x and y stored in registers r2 and r3, respectively. This program can be adapted to calculate other polynomials or perform other arithmetic operations on ARM processors. It is a powerful tool for low-level programming and optimization, but it requires a significant amount of expertise to write and debug.

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If x is a positive integer , 4x^1/2 is equivalent to product of 2 and square root of x, wherein it would surely be a positive value greater than 2.

Positive integers are the numbers on the number line which are greater then zero and extend on the right hand side of the number line till infinity. These numbers are also whole numbers in itself such as 1, 2, 3...,∞. When 4x^1/2 is calculated, it is assumed that 4x is raised to power half, which will provide the answer as 2√x.

It is because square root of 4 will be 2 and that of x will be √x. Square roots are the numbers obtained by multiplying a specific number by the number itself. For example: 3×3 = 9 or square root of 9 is 3.

If some positive integer is fixed in the equation, the desired outcome would be obtained as follows:

If x=4, (4×4)^1/2 = 4

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Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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Um... is there a question?

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer: 138

Step-by-step explanation:

Answer:

m=33

Step-by-step explanation:

To solve this, we need to get the variable, m, by itself. Perform the opposite of what is being done to the equation. Keep in mind everything done to one side, must be done to the other.

5m-3=4m+30

3 is being subtracted from 5m. The opposite of subtraction is addition, so add 3 to both sides.

5m-3+3=4m+30+3

5m=4m+33

4m is being added on to 33. The opposite of addition is subtraction, so subtract 4m from both sides.

5m-4m=4m-4m+33

5m-4m=33

m=33

Answer:

18 4/5

Step-by-step explanation:

Basically, all you have to do is add these.

One thing you can do is simplify the fractions and make it so each of them have the same denominator. 7 2/3 will be 7 10/15 and 10 3/5 will be 10 9/15. Now just add these numbers and you will get 17 19/15. Simplify this and you will have 18 4/5.

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Answer:

18 and 4/15 cups

Step-by-step explanation:

7 2/3 + 10 3/5

2/3 * 5/5 = 10/15 (because you need common denominators)

3/5 * 3/3 = 9/15  (because you need common denominators)

7 10/15 + 10 9/15 = 17 19/15 = 18 4/15

Answer:

The top right graph shows the solution to this system of linear equations.

There are 30 adults in the swimming pool.

The ratio is a quantitative approach that shows the relation between two proportions.

From the given relation, the ratio of of the children to adults = 8 : 3

The total number of the ratio = 8 + 3 = 11

Given that there are 110 people in the population.

The number of adults that are there will be:

\(\mathbf{=\dfrac{3}{11}\times 110}\)

= 30 adults

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Now

\(\\ \sf\longmapsto abc=76.1\times 818000\times 0.000016\)

\(\\ \sf\longmapsto abc=995.9968\)