Find the distance between the two points.


. (-3,-1), (6,2)



help please !!

To find the first term of an arithmetic sequence, use the formula: first term = last term - (number of terms - 1) * common difference.

To find the first term of an arithmetic sequence given the number of terms, the last term, and the common difference, you can use the following formula

First term = Last term - (Number of terms - 1) * Common difference

Here's how to use this formula

Identify the number of terms, the last term, and the common difference of the arithmetic sequence.

Plug these values into the formula.

Simplify the formula using order of operations (PEMDAS) to find the first term.

For example, let's say we have an arithmetic sequence with 10 terms, a last term of 50, and a common difference of 5. Using the formula above, we get

First term = 50 - (10 - 1) * 5

First term = 50 - 9 * 5

First term = 50 - 45

First term = 5

Therefore, the first term of the arithmetic sequence is 5.

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The total number of arrangements possible for banquet and dance are 12.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

There are 4 sites for the banquets available and 3 sites for the dance.

Let {B1, B2, B3, B4} be the 4 sites available for banquet.

Let {D1, D2, D3} be the 3 sites available for dance.

For each banquet site, there is 3 possible dance sites.

Thus, for 4 banquet sites, there will be 4 × 3 = 12 dance sites available.

Hence there are 12 arrangements possible for banquet and dance.

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The researcher would likely use an independent samples t-test.

The researcher would likely use an independent samples t-test to test the hypothesis that men and women differ in the amount of time they spend exercising weekly.

This is because an independent t-test is appropriate when comparing the means of two independent groups, in this case, men and women.

However, before conducting the t-test, the researcher should check if the data meets the assumptions of normality and equal variance. If these assumptions are not met, alternative tests such as the Wilcoxon rank-sum test may be more appropriate.

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Answer:

750

Step-by-step explanation:

One way that the foreign policy of George W. Bush differed from that of Barack Obama and Donald Trump was in its approach to interventionism. Bush's foreign policy was characterized by a more assertive and interventionist stance, as seen in the invasions of Afghanistan and Iraq.

During his presidency, George W. Bush pursued a foreign policy that was marked by a proactive approach to interventionism. In response to the 9/11 attacks, Bush launched the War in Afghanistan in 2001 with the goal of dismantling Al-Qaeda and removing the Taliban regime. Additionally, in 2003, his administration led the invasion of Iraq, citing concerns over weapons of mass destruction and the desire to promote democracy in the region. These interventions reflected a belief in the necessity of using military force to address perceived threats and spread democratic values.

In contrast, both Barack Obama and Donald Trump adopted a more restrained approach to military interventions. Obama, who succeeded Bush, emphasized a shift away from large-scale military interventions and a focus on diplomacy and multilateral cooperation. He sought to end the wars in Iraq and Afghanistan and prioritize targeted operations, such as drone strikes, to combat terrorism. Similarly, Trump advocated for a more "America First" approach, prioritizing U.S. national interests and reducing military involvement in foreign conflicts. While he did authorize military actions in certain situations, such as against ISIS, his administration generally favored a more cautious and selective approach to interventions.

Overall, the foreign policy of George W. Bush differed from that of Obama and Trump primarily in terms of their approaches to interventionism, with Bush adopting a more assertive and proactive stance while Obama and Trump pursued a more cautious and restrained approach to military interventions.

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Answer:

Find the GCD (or HCF) of numerator and denominator

GCD of 63 and 9 is 9

Divide both the numerator and denominator by the GCD

63 ÷ 9

9 ÷ 9

Reduced fraction:  

7/1

Therefore, 63/9 simplified to lowest terms is 7/1.

Step-by-step explanation:

The number of years for the value of $900 to reach $1,800 if the rate of interest is 4%, is 25 years.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

The amount after some years, A = $1800,

The rate of interest, r = 4% per annum,

The principal amount, p = $900,

Calculate the number of years as shown below,

A = P + SI

1800 = 900 + p × r × t / 100

Here, t is the time in years,

1800 - 900 = 900 × 4 × t / 100

900 = 3600t / 100

900 = 36t

t = 900 / 36

t = 25

Thus, the number of years will be 25.

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Answer:

At 2 hours they will meet on the road

Car A:  110 km;  Car B:  140 km

Step-by-step explanation:

Since the total distance is 250 km, we know that when the sum of the miles driven by each car adds to 250, they will meet.

Let x be the time, in hours.

              Miles Travelled

Car A             (55km/h)x

Car B             (70 km/h)x

(55km/h)x +  (70 km/h)x = 250

55x + 70x = 250

125x = 250

x = 2 hours  At 2 hours they will meet on the road

              Distance Travelled

Car A             (55km/h)2 =  110 km

Car B             (70 km/h)2 = 140 km

Answer:

the answer is D 1

Step-by-step explanation:

it goes up one and over one.

if you need to know how to do these, count the distance between each point.

for examples, -1 is a point. if you go up 1 and over 1, there is another point. 0,1.

The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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The mean, variance, and standard deviation of the distribution are respectively 33.8, 27.433, and 5.238 words.

The number of beans in some cocoa pond are 30, 28, 30, 35, 40, 25, 32, 36, 38 and 40. We need to calculate the mean, variance, and standard deviation of the distribution.

Mean: The sum of all numbers divided by the number of elements is called the mean.

Here n=10

Now we calculate the variance of the given data set

Variance: The variance is the average of the squared deviations from the mean.

Here n=10

Now we can find the standard deviation of the given data set

Standard deviation:

The square root of the variance is called the standard deviation.

Now n=10, So, the formula for the standard deviation is;

Therefore, the mean, variance, and standard deviation of the distribution are respectively 33.8, 27.433, and 5.238 words.

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To evaluate `641000√3`, we just need to multiply `641000` by `√3` to get the exact value. Then we can simplify the result if necessary.Using a calculator, we can find: `641000√3 ≈ 1110791.54794`

Rounding to the nearest whole number, we get:`641000√3 ≈ 1110792`Therefore, the closest answer choice to `1110792` is `1125`. Thus, `Evaluate 641000√3` is `1125`. Given that the zeros of the polynomial function are -5 and -3i, we can deduce that the polynomial must also have the zero 3i. This is because complex zeros always come in conjugate pairs, so the conjugate of -3i is 3i.

Therefore, the polynomial function can be expressed as follows:x = -5, x = -3i and x = 3iFor x = -5, we have (x + 5) as one of the factors.For x = -3i, we have (x + 3i) as one of the factors.For x = 3i, we have (x - 3i) as one of the factors.Now, we can find the polynomial of least degree with integral coefficients by multiplying these factors:(x + 5)(x + 3i)(x - 3i) = (x + 5)(x² - (3i)²) = (x + 5)(x² + 9)Expanding this, we get:x³ + 5x² + 9x + 45Therefore, the polynomial function of least degree with integral coefficients that has zeros -5 and -3i is x³ + 5x² + 9x + 45.

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

The values οf the basic trigοnοmetric functiοns fοr an angle in standard pοsitiοn passing thrοugh (6,8) are:

\(\sin \theta &= 0.8\\\) \(\cos \theta &= 0.6\), etc.

Trigοnοmetry is a branch οf mathematics that deals with the study οf triangles and the relatiοnships between their sides and angles.

We can begin by finding the length οf the hypοtenuse οf the right triangle fοrmed by the given pοint and the οrigin. This will give us the value οf the trigοnοmetric functiοns sine, cοsine, and tangent.

The hypotenuse can be found using the Pythagorean theorem:

\(c^2 &= a^2 + b^2\)

\(&= 6^2 + 8^2\)

\(&= 36 + 64\)

\(&= 100\)

\(c &= \sqrt{100}\)

\(c &= 10\)

Therefore, the point (6,8) is 10 units away from the origin.

The sine of the angle can be found by dividing the opposite side (8) by the hypotenuse (10):

\(\sin \theta &= \frac{8}{10}\)

\(&= 0.8\)

The cosine of the angle can be found by dividing the adjacent side (6) by the hypotenuse (10):

\(\cos \theta &= \frac{6}{10}\)

\(&= 0.6\)

The tangent of the angle can be found by dividing the opposite side (8) by the adjacent side (6):

\(\tan \theta &= \frac{8}{6}\)

\(&= \frac{4}{3}\)

Therefore, the values of the basic trigonometric functions for an angle in standard position passing through (6,8) are:

\(\sin \theta &= 0.8\)

\(\cos \theta &= 0.6\)

\(\tan \theta &= \frac{4}{3}\)

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Answer:

-1

Step-by-step explanation:

slope = y2-y1/x2-x1

(5,5) (7,3)

slope = 5-3/5-7 = 2/-2 = -1

Hank spent $32. 76 on 4 books. If each book was the same price. Each book cost $8.19.

To determine the cost of each book, we need to divide the total cost of the 4 books by the number of books purchased:

Cost of each book = Total cost / Number of books

In this case, we know that Hank spent $32.76 on 4 books, so we can plug in these values to get:

Cost of each book = $32.76 / 4

Simplifying the right side of the equation, we get:

Cost of each book = $8.19

Therefore, each book cost $8.19.

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Polynomial are expressions. The factored form of the polynomial  x²-x-6 is (x-3)(x+2).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the factored form of the given quadratic equation, we will break constant b(-1) into two parts such that the sum of the parts is -1, while their product is equal to the product of the constant a(1) and c(-6).

Therefore, the solution of the polynomial is,

\(x^2-x-6\\\\=x^2+2x-3x-6\\\\=x(x+2)-3(x+2)\\\\=(x-3)(x+2)\\\)

Hence, the factored form of the polynomial x²-x-6 is (x-3)(x+2).

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Answer:

The third one

Step-by-step explanation:

The image above is the explanation, hopefully its help

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

The length of line segment LB is equal by definition of bisector to 6 feet.

In this question we find a geometric system with two right triangles generated by bisector AL, that is, a side that divides line segment CL into two segments of equal length. Then, the length of line segment LB is equal to:

CL = LB

Where CL and LB are measured in feet.

If we know that CL = 6 ft, then the length of line segment LB is 6 feet.

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hope it helps!

Answer:

1230 I believe I think area is when u add em all up that's what I did good luck

When x is correlated with y, it means that there exists a relationship between the two variables, where a change in one variable (x) is associated with a change in the other variable (y).

This relationship can be either positive or negative.

In a positive correlation, as the value of x increases, the value of y also increases, and as the value of x decreases, the value of y decreases as well. This indicates that both variables move in the same direction. On the other hand, in a negative correlation, as the value of x increases, the value of y decreases, and as the value of x decreases, the value of y increases. This shows that the variables move in opposite directions.

It is essential to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change. There could be other factors or variables that influence the observed relationship between x and y. Additionally, the strength of the correlation can vary, with values close to 1 or -1 representing a strong relationship and values close to 0 representing a weak relationship or no relationship at all.

In conclusion, when x is correlated with y, it means that there is a relationship between the two variables that can be either positive or negative, but this does not necessarily imply causation. The strength of the relationship can also vary, depending on the correlation coefficient value.

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\(5 \frac{3}{5} \% \: of \: 750\)

\(5 \frac{3}{5} = 5.6\)

\( \frac{5.6\%}{100} \times \frac{x}{750} \)

\( = 42%\)

Answer:

A' (3,-1)

B' (-2,-5)

C' (5, -2)

Step-by-step explanation:

Notice how the x values stay the same and the y values become the opposite of the original points.

Answer:315

Step-by-step explanation:

441 divide by 7 then what u get multiply by 5

There are 11,838,890 ways to arrange 7 elves and 5 goblins in a row without any goblins standing next to each other.

This can be calculated using the formula for combinations, n!/(r!(n-r)!), where n is the total number of elves and goblins (12) and r is the number of goblins (5). The calculation is written as 12!/(5!(12-5)!) = 11,838,890.

To illustrate, one possible arrangement is EE EG EEG EEG EGEE EG. Here, E stands for elf and G stands for a goblin. The arrangement starts with two elves, followed by an elf and a goblin, followed by three elves, followed by an elf and a goblin, followed by two elves, and finally ending with an elf.

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