Rewrite the expression (19x3 – 5x2 + 6x – 2)/(x + 1) in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b(x) = divisor, using the long division method.

Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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A proportion is a fraction of a total amount, that can also be interpreted as a percentage, and is used along with the basic arithmetic operations, especially multiplication and division, to obtain the desired measures in the context of a problem.

To obtain the amount relative of a percentage, we multiply the decimal equivalent of the percentage by the total amount.

The amounts in this problem are obtained as follows:

As the prices are different, it means that Jeremy cannot simply add these percentages.

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The probability that the last remaining house has three or four bedrooms, one or two bathrooms, one floor, and a grass yard is 1/9.

Let's break down the given options and criteria to determine the probability of finding a house that meets your requirements.

Number of Bedrooms: Two Bedrooms, Three Bedrooms, or Four Bedrooms

Number of Bathrooms: One Bathroom, Two Bathrooms, or Three Bathrooms

Number of Floors: One Floor or Two Floors

Type of Yard: Grass or Desert Landscaping

You are looking for a house with:

Either three or four bedrooms

Either one or two bathrooms

One floor

Grass yard

To calculate the probability, we need to determine the number of houses that meet your criteria and divide it by the total number of houses available.

Let's analyze each criterion:

Number of Bedrooms:

You are interested in houses with three or four bedrooms. There are three options for bedrooms. Since the number of houses with each combination is equal, the probability of a house having three or four bedrooms is 2/3.

Number of Bathrooms:

You are interested in houses with either one or two bathrooms. There are three options for bathrooms. Again, since the number of houses with each combination is equal, the probability of a house having one or two bathrooms is 2/3.

Number of Floors:

You are interested in houses with one floor. There are two options for floors. Since the number of houses with each combination is equal, the probability of a house having one floor is 1/2.

Type of Yard:

You are interested in houses with a grass yard. There are two options for the type of yard. Since the number of houses with each combination is equal, the probability of a house having a grass yard is 1/2.

Now, to find the overall probability of finding a house that meets all your criteria, we multiply the probabilities of each criterion together:

Probability = (2/3) * (2/3) * (1/2) * (1/2)

= 4/36

= 1/9

Therefore, the probability that the last remaining house has three or four bedrooms, one or two bathrooms, one floor, and a grass yard is 1/9.

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If in parallelogram ABCD, AB = 14cm. The altitude corresponding to AB is 6 cm and the altitude corresponding to BC is 7 cm. The AD is 8.57.

Given data:

AB= 14cm

Altitude corresponding  AB =6cm

Altitude corresponding to BC =7cm

So,

1/2 × AB × altitude 1 = 1/2 × AD × altitude 2

AB × altitude 1 =AD × Altitude 2

10 × 6 = AD × 7

60 = AD × 7

AD = 60/7

AD = 8.57

Therefore we can conclude that AD is 8.57.

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Answer:

Hope it helps you!...........

Answer:

Poor physical health can lead to an increased risk of developing mental health can negatively impact on Physical health leading to an increased risk of some conditions

Step-by-step explanation:

The association between mental and physical health are poor mental is a risk factor for chronic physical conditions . if this is not correct don't report me or blame me just trying to help ......

since we have found an element (48) in S that is not in T, we can conclude that S is not equal to T.

To prove that S is not equal to T, we need to show that there I an element in either S or T that is not in the other set.

Let's first look at the elements in S. We know that S is the set of all integers that can be expressed as 24 times some other integer. So, for example, 24, 48, 72, -24, -48, -72, etc. are all in S.

Now, let's look at the elements in T. We know that T is the set of all integers that can be expressed as 4 times some integer and 6 times some integer. We can find some examples of numbers in T by finding the multiples of the LCM of 4 and 6, which is 12. So, for example, 12, 24, 36, -12, -24, -36, etc. are all in T.

Now, let's consider the number 48. We know that 48 is in S, since it can be expressed as 24 times 2. However, 48 is not in T, since it cannot be expressed as 4 times some integer and 6 times some integer. This is because the only common multiple of 4 and 6 is 12, and 48 is not a multiple of 12.

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The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Answer:

The answer to this is 2000.

Step-by-step explanation:

I hope it helps! :)

Answer:

2000

Step-by-step explanation:

Just do it.

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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Answer:

u didnt put the anwsers but its 80% percent now can i have brainliest pls ty

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

g(-4) = -11, is the statement that could be true for the function g, given the specified conditions. Option D

To determine which statement could be true for the function g, let's consider the given information about the domain, range, and specific values of g(x).

Domain: The domain of g is given as -20 ≤ x ≤ 5. This means that the valid input values for the function lie between -20 and 5, inclusive.

Range: The range of g is given as -5 ≤ g(x) ≤ 45. This means that the output values or function values of g lie between -5 and 45, inclusive.

Specific values: We are given that g(0) = -2 and g(-9) = 6.

Now, let's analyze each statement:

A. g(-13) = 20: Since -13 is outside the given domain of -20 ≤ x ≤ 5, this statement cannot be true for g.

B. g(0) = 2: We are given that g(0) = -2, not 2. So, this statement is not consistent with the given information.

C. g(7) = -1: Since 7 is outside the given domain of -20 ≤ x ≤ 5, this statement cannot be true for g.

D. g(-4) = -11: The statement does not violate the given domain or range. Therefore, g(-4) = -11 could be a valid possibility for g based on the provided information.

Therefore, option D, g(-4) = -11, is the statement that could be true for the function g, given the specified conditions.So, the option D is  corrrect for the given condition.

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Answer:

[See Below]

Step-by-step explanation:

✦ First you have to determine the rule:

  ✧ The rule is -2

    ○ 4 - 2 = 2

    ○ 2 - 2 = 0

    ○ 0 - 2 = -2

    ○ -2 - 2 = -4

    ○ And the rule would go on and on...

✦ And now that you know the rule, you have to determine the next terms:

  ✧ -6

  ✧ -8

  ✧ -10

~Hope this helps Mate. If you need anything feel free to message me.

A)  annual percentage increase in the winner's check over this period is approximately 11595652.17%.

B)   if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

a. To find the annual percentage increase in the winner's check over this period, we can use the formula:

Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100

First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:

Initial Value = $23
Final Value = $2,670,000

Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100

Now, we can calculate this value using the given formula:

Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%

Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.

b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:

Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n

Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)

Now, let's calculate the prize money in 2055 using the given formula:

Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35

Calculating this value, we find:

Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48

Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

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Answer:$62

Step-by-step explanation: 62 becuase I took your formula and plugged it in. There are 2 kids under 12 so thats $16, then there are 3 people who are 12-59 that equals $52, then 1 person who is over 60. So $62.

Answer:

it on sale for 27%

Step-by-step explanation:

Answer:

\(x + 8 \times 16 \\ 8 - 16 = 8\)

In the given right triangle, the perimeter is 12 in.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the length of the two legs (a and b). Hence,

c^2 = a^2 + b^2

In the given triangle,

c = x in

a = 3 in

b = 4 in

Hence,

x^2 = 3^2 + 4^2

x^2 = 9 + 16

x^2 = 25

x = √25

x = 5

The perimeter of a geometric shape is the sum of all its side. Hence,

Perimeter = 3 + 4 + 5 = 12 in

Note: The question is incomplete. The complete question probability is: Using the Pythagorean theorem, find the perimeter of the triangle.

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Answer: Two parallel lines have the same slope. Therefore, we can use the slope of the given line y = -4x + 5 to find the slope of the line that is parallel to it.

The slope of y = -4x + 5 is -4. Therefore, the slope of any line parallel to it will also be -4.

Now we have the slope of the line and a point that it passes through. We can use point-slope form to write the equation of the line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the line.

Plugging in the values we know, we get:

y - (-1) = -4(x - (-2))

y + 1 = -4(x + 2)

y + 1 = -4x - 8

y = -4x - 9

Therefore, the equation of the line that is parallel to y = -4x + 5 and passes through the point (-2,-1) is y = -4x - 9.

Step-by-step explanation:

The polar equation r = 2 sin θ is equivalent to the rectangular equation y = x tan θ.

The polar equation is r=2sinθ. To convert it into rectangular form, we can use the identities x = r cos θ and y = r sin θ.

Replacing r with 2 sin θ, we get x = 2 cos θ sin θ and y = 2 sin^2 θ. Simplifying these expressions using the identity sin^2 θ + cos^2 θ = 1, we get the rectangular equation y = x sin θ / cos θ, which can also be written as y = x tan θ.

Thus, the polar equation r = 2 sin θ is equivalent to the rectangular equation y = x tan θ.

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Answer:

Step-by-step explanation:

There is a relationship between number of sides and interior angle measure of regular polygons:

We have now:

It's equilateral polygon

n is no of sides

\(\\ \sf\longmapsto (2n-4)90=176n\)

\(\\ \sf\longmapsto 180n-360=176n\)

\(\\ \sf\longmapsto 180n-176n=360\)

\(\\ \sf\longmapsto 4n=360\)

\(\\ \sf\longmapsto n=4\)

To make the refinance worthwhile, the most he shonld be willing to pay for the refinance charges (at the time of the nefinamce) is closest to $281,730.

Let us calculate the amount of interest that will be paid over the remaining 13 years on the original loan at 4.0% interest rate.

Amount of interest paid = Balance x i x nAmount of interest paid = $188,391.16 x 0.00333 x 156Amount of interest paid = $93,015.47

Therefore, the total cost of the original loan over 20 years was:$3,429.73 x 240 = $822,535.20

And the total cost of the remaining 13 years on the original loan at 4.0% interest rate is:$3,429.73 x 156 = $534,505.88 - $300,000 = $234,505.88

Therefore, the borrower will save $822,535.20 - $534,505.88 = $288,029.32 by refinancing. If he has to pay $5,781 for the refinance charges, the most he should be willing to pay is $288,029.32 - $5,781 = $282,248.32.

The closest option to $282,248.32 is $281,730.

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The sequence {an} n = 1 00 =1 can be defined using the formula an = 4 + cos 2a. This formula generates a sequence of numbers where each term is obtained by adding 4 to the cosine of twice the current term number.

To find the first four terms of the sequence, we substitute n = 1, 2, 3, and 4 into the formula and evaluate the expression. The resulting values are approximately 3.416, 3.347, 3.038, and 2.542 respectively.

a1 = 4 + cos(21) = 4 + cos(2) ≈ 3.416

a2 = 4 + cos(22) = 4 + cos(4) ≈ 3.347

a3 = 4 + cos(23) = 4 + cos(6) ≈ 3.038

a4 = 4 + cos(24) = 4 + cos(8) ≈ 2.542

The sequence generated by this formula oscillates around the value of 4 with decreasing amplitude as the term number increases. The cosine function has a period of 2π, so the values of the sequence will repeat after every two terms. The amplitude of the oscillation decreases as the term number increases because the cosine function is bounded between -1 and 1, and multiplying it by 2a shrinks the range of values even further.

In summary, the sequence {an} n = 1 00 =1 generated by the formula an = 4 + cos 2a has an oscillating behavior around the value of 4, with decreasing amplitude as the term number increases.

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The first four terms of the sequence are:

(1) a1 = 4 + cos(1)^2 = 4.54
(2) a2 = 4 + cos(2)^2 = 4.21
(3) a3 = 4 + cos(3)^2 = 4.07
(4) a4 = 4 + cos(4)^2 = 4.11

In mathematics, an array is a collection of objects that are allowed to be repeated and ordering is important. The number of elements (possibly infinite) is called the length of the array. Unlike sets, the same theme can appear multiple times in different functions in the system, and unlike sets, the layout is important. As a rule, an array can be defined as a function from a natural number (the position of the element in the array) to the element of each position. The concept of series can be generalized to the family of indicators defined as a function of determining indices.

To find the first four terms of the sequence {an}, we will use the given formula: an = 4 + cos(2n).

Let's calculate the first four terms one by one:

1. For n = 1, a1 = 4 + cos(2(1)) = 4 + cos(2) ≈ 4 + (-0.4161) ≈ 3.5839
2. For n = 2, a2 = 4 + cos(2(2)) = 4 + cos(4) ≈ 4 + (-0.6536) ≈ 3.3464
3. For n = 3, a3 = 4 + cos(2(3)) = 4 + cos(6) ≈ 4 + 0.9602 ≈ 4.9602
4. For n = 4, a4 = 4 + cos(2(4)) = 4 + cos(8) ≈ 4 + (-0.1455) ≈ 3.8545

So, the first four terms of the sequence are approximately 3.5839, 3.3464, 4.9602, and 3.8545.

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“6 more than twice m” can be written in the mathematical form as 2m+6.

The question is saying that we have to write “6 more than twice m” as an algebraic expression or into a mathematical expression.

As in the question, it is mentioned that we have to take the number m as a variable.

So, we are going to use this ‘m’ for solving this question.

Let the number be m.

Then, twice of m will be similar to 2 times m or m multiplied by 2.

Therefore, twice m will be 2m.

Now, the question is saying that 6 more than twice m.

“6 more than” means 6 is added to that specific number.

Hence, 6 more than that number which is twice of m will be 2m+6.

Hence, “6 more than twice m” can be written in the mathematical form as 2m+6.

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The correlation between gestation and longevity is positive and strong.

This means that as gestation increases, longevity also tends to increase. The outlier (elephant) with 645 days of gestation and 40 years of longevity may affect the correlation.

If we remove the outlier, the correlation between gestation and longevity is likely to weaken.

The outlier (elephant) has extreme values for both gestation and longevity, and removing it would lead to a more balanced distribution of data points.

This might result in a weaker but still positive correlation, suggesting that the relationship between gestation and longevity is not as strong as initially observed. In conclusion, the outlier plays a significant role in the observed correlation, and removing it would affect the strength of the relationship.

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Therefore , the solution to the given problem of trigonometry comes out to be  angle of elevation : 62.3°.

The area of mathematics called trigonometry examines the correlation between triangle length l. The field first came into existence in the Classical world, presumably in the third-century BC, as a result of the integration of geometry with astronomy studies. Precise approaches mathematics deals with certain trigonometric equations and possible uses of them in calculations. There are six common trigonometric functions in trigonometry. They are known by their respective names and abbreviations sine, trigonometry, tangent, secant, etc. cosecant (csc). The studies of triangle aspects, particularly those right triangles, is known as trigonometry. However, studying geometry entails learning about all polygons' characteristics.

Here,

given  :

An aircraft is being followed by two radar stations, which are 4.3 miles apart.

Station A is 9.6 miles away from the plane in a straight line.

Thus,

To find the angle of elevation  from station A to plane :

Using Trigonometric ratios:

=> Sin A  = 8.5 / 9.6

=> Sin A = 85/96

=> A =  \(Sin^{-1}\)(85/96 )

=> A = 62.302840124651483 °

=> A = 62.3°

Therefore , the solution to the given problem of trigonometry comes out to be  angle of elevation : 62.3°.

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