What is the scale factor

Answer: 2x-3=10

(x=the number)

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Answer:

b

Step-by-step explanation:

\(\left[\begin{array}{ccc}-1&-3&2\\2&5&-1\\-4&-5&-4\end{array}\right] *\left[\begin{array}{ccc}3&3&5\\2&-5&2\\-4&-1&1\end{array}\right] \\\\\\\)

c11 = (-1) *3 + (-3)*2 + 2*(-4) = -3 - 6 - 8 = -17

C12 = (-1)*3 + (-3)*(-5) + 2*(-1) = -3 + 15 - 2 = 10

C13 = (-1)*5 + (-3) *2 + 2*1 = -5 - 6 +2 = -9

C21 =  2*3 + 5*2 + (-1)*(-4) = 6 +10 + 4 = 20

C22 =  2*3 + 5*(-5) + (-1)*(-1) = 6 - 25 + 1 = -18

C23 =  2*5 + 5 *2+ (-1)*1    = 10 + 10 -1 = 19

C31 = (-4)*3 + (- 5)*2  + (-4)*(-4)  = -12 - 10 +16 = -6

C32 = (-4)*(3) + (- 5)*(-5)  + (-4)*(-1) = -12 + 25 + 4 = 17

C33 = (-4)*5 + (- 5)*2  + (-4)*1 = -20 - 10 - 4 = -34

\(AB = \left[\begin{array}{ccc}-17&10&-9\\20&-18&19\\-6&17&-34\end{array}\right]\)

The smallest value of n that works is 11.

We can expand the given equation using the binomial theorem:

(x^2 + 1.2)^n = ∑(k=0 to n) [n choose k] x^(2(n-k)) (1.2)^k

The coefficient of x^6 in the expansion will be given by the term where k = n - 3, i.e.,

[n choose n-3] x^(2(3)) (1.2)^(n-3) = (n(n-1)(n-2)/(3!)) x^6 (1.2)^(n-3)

We want this coefficient to be larger than 200000, so we have:

(n(n-1)(n-2)/(3!)) (1.2)^(n-3) > 200000/16

Simplifying and taking the logarithm of both sides:

(n-1)log(1.2) + log(n(n-1)(n-2)) - log(3!) > log(12500)

Using the fact that log(n) < n for all n > 0, we can approximate log(n(n-1)(n-2)) by n log(n) and simplify further:

(n-1)log(1.2) + 3log(n) - log(3) > log(12500)

Now, we can use trial and error to find the smallest value of n that satisfies this inequality. We can start with n = 10 and increase it until we get a value that works:

For n = 10: (9)log(1.2) + 3log(10) - log(3) ≈ 2.413, which is not greater than log(12500) ≈ 4.819.

For n = 11: (10)log(1.2) + 3log(11) - log(3) ≈ 4.299, which is greater than log(12500).

Therefore, the smallest value of n that works is 11.

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Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

Answer:

Step-by-step explanation:

9 + 4 = 13 Two minus' make a plus

14-9 = 5     this is just subtraction

-4 + 5 = 1   two minus's make a plus.

-7-9 = -16

Answer:

x > - 8

Step-by-step explanation:

x + 5 > -3

x > - 8

Answer:

this is easy it is 23 miles per every 35 housrs

Step-by-step explanation:

Interpreting a p-value in the context of a word problem involves understanding its significance and its relationship to the hypothesis being tested.

The p-value represents the probability of obtaining the observed data (or more extreme) if the null hypothesis is true.

Here are a few examples of interpreting p-values in different scenarios:

1. Hypothesis Testing Example:

Suppose you are conducting a study to test whether a new drug is effective in reducing blood pressure.

The null hypothesis (H0) states that the drug has no effect, while the alternative hypothesis (Ha) states that the drug does have an effect.

After conducting the study, you calculate a p-value of 0.02.

Interpretation: The p-value of 0.02 indicates that if the null hypothesis (no effect) is true, there is a 2% chance of observing the data (or more extreme) that you obtained.

Since this p-value is below the conventional significance level of 0.05, you would reject the null hypothesis and conclude that there is evidence to support the effectiveness of the drug in reducing blood pressure.

2. Acceptance Region Example:

Consider a manufacturing process that produces light bulbs, and the company claims that the defect rate is less than 5%.

To test this claim, a sample of 200 light bulbs is taken, and 14 of them are found to be defective.

The hypothesis test yields a p-value of 0.12.

Interpretation: The p-value of 0.12 indicates that if the true defect rate is less than 5%, there is a 12% chance of obtaining a sample with 14 or more defective light bulbs.

Since this p-value is greater than the significance level of 0.05, you would fail to reject the null hypothesis.

There is not enough evidence to conclude that the defect rate is different from the claimed value of less than 5%.

3. Correlation Example:

Suppose you are analyzing the relationship between study time and exam scores.

You calculate the correlation coefficient and obtain a p-value of 0.001.

Interpretation: The p-value of 0.001 indicates that if there is truly no correlation between study time and exam scores in the population, there is only a 0.1% chance of obtaining a sample with the observed correlation coefficient.

This p-value is very low, suggesting strong evidence of a significant correlation between study time and exam scores.

In all these examples, the p-value is used to assess the strength of evidence against the null hypothesis.

It helps determine whether the observed data supports or contradicts the hypothesis being tested.

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The natural breaks, quantile, and equal interval classification schemes are methods used to categorize data for the purpose of creating thematic maps. Each scheme has its own approach and considerations: Natural Breaks, Quantile, Equal Interval.

Natural Breaks (Jenks): This classification scheme aims to identify natural groupings or breakpoints in the data. It seeks to minimize the variance within each group while maximizing the variance between groups. Natural breaks are determined by analyzing the distribution of the data and identifying points where significant gaps or changes occur. This method is useful for data that exhibits distinct clusters or patterns.

Quantile (Equal Count): The quantile classification scheme divides the data into equal-sized classes based on the number of data values. It ensures that an equal number of observations fall into each class. This approach is beneficial when the goal is to have an equal representation of data points in each category. Quantiles are useful for data that is evenly distributed and when maintaining an equal sample size in each class is important.

Equal Interval: In the equal interval classification scheme, the range of the data is divided into equal intervals, and data values are assigned to the corresponding interval. This method is straightforward and creates classes of equal width. It is useful when the range of values is important to represent accurately. However, it may not account for data distribution or variations in density.

In summary, the natural breaks scheme focuses on identifying natural groupings, the quantile scheme ensures an equal representation of data in each class, and the equal interval scheme creates classes of equal width based on the range of values. The choice of classification scheme depends on the nature of the data and the desired representation in the thematic map.

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As you can see, 5y is an external angle of triangle ABC

we know that 5y=180-x

since angle B is 40, and angle A=x and C=x, we have

x%2Bx%2B40=180

2x=180-40

x=140%2F2

x=70

so, angle A=70 and C=70

then

5y=180-70

5y=110

y=110%2F5

y=22

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The number of children at the game = 5268

Given,

Number of men: Number of women: Number of children = 17:9:12

There are 3512 more men than women

17 - 9 = 8

8x =3512

x = 3512 / 8

= 439

Ratio of children =12

Therefore 12 × 439

= 5268

Therefore

No. of children at the game = 5268

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The FHA fee that would be paid at the time of closing is the "Up-front Mortgage Insurance Premium" (UFMIP).

Up-front Mortgage Insurance premium is a one-time fee that is paid at the time of closing and is added to the total loan amount. The UFMIP is typically 1.75% of the loan amount, but can vary depending on the loan type and other factors.

The "Mortgage Insurance Premium" (MIP) is an ongoing fee that is paid monthly along with the mortgage payment.

"Homeowner's Insurance" is not an FHA fee but is typically required by lenders to protect the property in case of damage or loss.

"Mortgage Loan Insurance" is another term for mortgage insurance, which is required on FHA loans to protect the lender in case the borrower defaults on the loan.

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For Felipe and Helena's final grades, the solution is option C, [74 71].

Using the given values for Q, T, and P weights and Felipe and Helena's grades, calculate their final grades as follows:

Felipe's final grade:

0.40 x 80 + 0.50 x 60 + 0.10 x 90 = 32 + 30 + 9 = 71

Helena's final grade:

0.40 x 70 + 0.50 x 80 + 0.10 x 60 = 28 + 40 + 6 = 74

To represent the final grades for Felipe and Helena in a matrix F, given formula F = WG, where W = matrix of weights and G = matrix of grades:

[0.40 0.50 0.10]   [80 70]

F = WG = [0.40 0.50 0.10] x [60 80]

[0.40 0.50 0.10] [90 60]

Performing matrix multiplication:

[32 + 30 + 9  28 + 40 + 6]

F = WG = [32 + 40 + 6 28 + 40 + 3]

[36 + 25 + 6 36 + 20 + 3]

Simplifying:

[71 74]

F = WG = [78 71]

[67 59]

Therefore, [74 71] for Felipe and Helena's final grades, respectively.

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Answer:

-3/2

Step-by-step explanation:

Count up three times and to the left twice. Let me know if you need help with other questions!

a. There exists at least one c in (-2,1) such that f(c) = 0, and Rolle's Theorem guarantees that there is a point c in (-2,1) such that f'(c) = 0.

b. The value guaranteed by the conclusion of Rolle's Theorem is c = -1/2.

a. For the function f(x) = x³ - 4x² + 5 on the interval [0,2], we can apply the Mean Value Theorem which states that if f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a c in (a,b) such that f'(c) = (f(b) - f(a))/(b - a).

Using this theorem, we can find a value c in (0,2) such that f'(c) = (f(2) - f(0))/(2 - 0).

First, we find f'(x) = 3x² - 8x. Then, we have:

f'(c) = 3c² - 8c

f(2) - f(0) = (2³ - 4(2)² + 5) - (0³ - 4(0)² + 5) = 5

So we have:

3c² - 8c = 5

Solving for c, we get:

c = (-(-8) ± √((-8)² - 4(3)(-5)))/(2(3))

c = (8 ± √136)/6

c ≈ 1.7 or c ≈ 0.3

Therefore, there exists at least one c in (0,2) such that f'(c) = 5/2.

b. We are given the function f(x) = x² + x - 2 on the interval [-2,1].

To verify that the function complies with the conditions of Rolle's Theorem, we need to check two conditions:

f(x) is continuous on the closed interval [-2,1]

f(x) is differentiable on the open interval (-2,1)

The first condition is satisfied because the function is a polynomial and therefore is continuous everywhere.

The second condition is also satisfied because the derivative of f(x) is f'(x) = 2x + 1, which is defined and continuous on the open interval (-2,1).

To apply Rolle's Theorem, we need to find a value c in (-2,1) such that f(c) = 0.

We have:

f(-2) = (-2)² - 2 - 2 = 0

f(1) = 1² + 1 - 2 = 0

Therefore, there exists at least one c in (-2,1) such that f(c) = 0, and Rolle's Theorem guarantees that there is a point c in (-2,1) such that f'(c) = 0.

To find this point, we can solve f'(x) = 0:

2x + 1 = 0

x = -1/2

Therefore, the value guaranteed by the conclusion of Rolle's Theorem is c = -1/2.

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Answer:

>21 -3×+6 = 20 plus 1 equals 21

Answer:

The answer is B, In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.

Step-by-step explanation:

For the box plot:

Advantage: The plot organized the large amount of data, and visualizes outlier values and the quantiles.

Disadvantage: It doesn't give detailed analysis of each data of the data set.

For dot plot:

Advantage: They give detailed analysis of a data set.

Disadvantage: Not adequate for the representation of a large data set.

A box plot is defined as the type of representation of data where by a box is drawn from the first quartile to the third quartile and it shows the five-number summary of a data set such as the minimum, first quartile, median, third quartile, and maximum.

The dot plot is defined as the representation of data whereby the number of data points in a data set based on the number of their occurrence.

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Sum of two interiors=exterior

\(\\ \rm\bull\rightarrowtail 2x-3+2x+15=7x-18\)

\(\\ \rm\bull\rightarrowtail 4x+12=7x-18\)

\(\\ \rm\bull\rightarrowtail 3x=30\)

\(\\ \rm\bull\rightarrowtail x=10\)

Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.

1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.

2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.

By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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To evaluate the volume of the region bounded by the surface z = 9 - x² - y² and the xy-plane, we can use a double integral.

The region of integration corresponds to the projection of the surface onto the xy-plane, which is a circular disk centered at the origin with a radius of 3 (since 9 - x² - y² = 0 when x² + y² = 9).

By adding "0" to the right-hand side, the equation becomes 4x - 4 = 4x + 0. Since the two expressions on both sides are now identical (both equal to 4x), the equation holds true for all values of x.

Adding 0 to an expression does not change its value, so the equation 4x - 4 = 4x + 0 is satisfied for any value of x, making it true for all values of x.

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Answer:

see below

Step-by-step explanation:

part 1

(-2,1) and (2,1)

Both points have the same y value

The slope is zero since it is a horizontal line and it crosses the y axis at y =1 so the y intercept is (0,1)

part 2

The equation of the line in slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 0x+1

y =1

Answer:

Answer:

see below

Step-by-step explanation:

part 1

(-2,1) and (2,1)

Both points have the same y value

The slope is zero since it is a horizontal line and it crosses the y axis at y =1 so the y intercept is (0,1)

part 2

The equation of the line in slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 0x+1

y =1

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Step-by-step explanation:

now you can add the answerer as brainliest.

Answer:

c. 1,417

Step-by-step explanation:

200,000 (8.5%) = 17,000

17,000 / 12 = 1,416.67 or 1,417

Answer:

$1,417

Step-by-step explanation: