What is are the things s2 considered to show that the two triangles are congruent?

Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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Answer:

8x-23

Step-by-step explanation:

10x-2x=8x, and since the 23 was in the parenthesis that was being subtracted, then the 23 gets subtracted.

Answer: look at the picture

Step-by-step explanation: Hope this help :D

The smallest positive integer n whose positive divisors have a product of n^6 is 2^6.

To find the smallest positive integer n satisfying the given condition, we need to consider the prime factorization of n. Since the product of positive divisors is equal to n^6, each prime factor of n must appear with an exponent that is a multiple of 6.

The smallest prime number is 2. If we raise 2 to the power of 6, we get 64, which satisfies the condition. Moreover, there is no smaller prime number that meets the requirement because any smaller prime raised to the power of 6 would result in a larger product.

Therefore, the smallest positive integer n whose positive divisors have a product of n^6 is 2^6, which is equal to 64.

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Answer:

Sample size:6

Median: 9.5

Hope this helps you. Do mark me as brainliest. Thanks

Answer:

C = number of chickens

P = number of pigs

C + P = 13

2C + 4P = 46

Solve for C and P and get

C = 3

P = 10

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Therefore, 1,502 gallons of water must be added to the excavated soil to raise the water content to the final value.

a) Given information: Total final volume of compacted fill = 300,000 yd3Final dry unit weight = 118 pcf

In-place dry unit weight = 105 pcf

Water content = 9%

Final water content = 13.5%1 y

d3 = 27 ft3

Let's calculate the volume of soil in cubic feet and then convert it to cubic yards.

Volume of soil in cubic feet= Total final volume of compacted fill/ (1 + (Final dry unit weight/ In-place dry unit weight) × (1 - Final water content/ Water content))

= 300,000 / (1 + (118/105) × (1 - 13.5/9))

= 300,000 / 1.104

= 271,447 ft3

So, the amount of soil to be excavated in cubic yards= 271,447 / 27

= 10,064.33 yd3

Therefore, about 10,065 cubic yards of soil must be excavated from the borrow pit.

b) Given information: Water content = 9%

Final water content = 13.5%

Volume of soil = 10,065 yd31 ft3

= 7.48 gallons

First, let's find out the volume of excavated soil in cubic feet and then calculate the amount of water to be added.

Volume of excavated soil in cubic feet= Volume of soil in cubic yards × 27

= 10,065 × 27= 271,455 ft3

Initial weight of excavated soil = Volume × Dry unit weight

= 271,455 × 105/ 144

= 197,951.25 pounds

Initial amount of water in the excavated soil= Initial weight of soil × Initial water content/ 100

= 197,951.25 × 9/ 100

= 17,818.6175 pounds or 2,378.381 gallons

To raise the water content from 9% to 13.5%, the amount of water to be added is= Final weight of soil × Final water content/ 100 - Initial amount of water

= (Initial weight of soil + Weight of water to be added) × 13.5/ 100 - 2,378.381

= (197,951.25 + Weight of water to be added) × 13.5/ 100 - 2,378.381

Weight of water to be added = 11,238.5279 pounds or 1,501.96 gallons

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Answer:

2.0333

Step-by-step explanation:

log 108

Express 108 in terms of 2 & 3.

108 = 2 * 2 * 3 * 3 * 3 = 2² * 3³

log 108 = log 2² * 3³ = log 2² + log 3³ [Using Product Law]

= 2log 2 + 3log 3 [Using Power Law]

Now put the values of log 2 & log 3:

2log 2 + 3log 3

= 2*0.3010 + 3*0.4771

= 0.6020 + 1.4313

= 2.0333

The center and the radius by completing the square of the given equation of circle is x² + y² - 32x+24y +396 = 0 is C( -16, 12) and radius is 2.

The equation of the circle is given as x² + y² - 32x+24y +396 = 0.

Comparing the given equation with general equation of circle, x² + y² + 2gx + 2fy + c = 0.

The center of circle is C = (-g, -f)

The radius of circle is r = √g² + f² - c

Therefore, from the given equation,

2g = -32

g = -16

2f = 24

f = 12

C( -16, 12)

And the radius is

r = √(-16)² + (12)² - 396

= √256 + 144 -396

=√4

= 2

Hence, the center and the radius by completing the square of the given equation of circle is x² + y² - 32x+24y +396 = 0 is C( -16, 12) and radius is 2.

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Answer:

x=45°

Step-by-step explanation:

A straight line is 180°. Since we have a 90° angle, and CD is a straight line, 90/2=45

45° is the answer.

Hope this explanation is understandable!

Hope this helps!

If not, I am sorry.

Answer: a

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

obtaining food

Answer:

because if you substitute 6 into the equation for x and cross multiply, you get 1,152 = 1,152

Step-by-step explanation:

Answer:

your answer is c please mark as branliest

Step-by-step explanation:

Answer:

414

Step-by-step explanation:

Answer:

hi play truth and dare to with me in g met

The coefficient of x⁶ is the coefficient of x⁴ in the expression, which is -336.

The polynomial (x²-2x-1)8 can be expanded using the binomial theorem, which provides a formula for raising a binomial to a power.

In our case, x = x² and y = -2x - 1. Therefore, we can rewrite the function as:

((x²) + (-2x - 1))⁸

Using the binomial theorem, we can expand this function as:

∑(k=0 to 8) (8 choose k)\((x^2)^{8-k} (-2x - 1)^k\)

Now, we need to find the coefficients of x⁴ and x⁶ in this expansion. To do so, we can look for the terms where the exponents of x² and (-2x - 1) add up to either 4 or 6.

For the coefficient of x⁴, we need to find the term where the exponents add up to 4. This occurs when k = 4, which gives us:

(8 choose 4) (x^2)⁴ (-2x - 1)⁴

= 70 x⁸ (16x⁴ + 32x³ + 24x² + 8x + 1)

The coefficient of x⁴ is the coefficient of x⁴ in the above expression, which is 0. Therefore, there is no x⁴ term in the expansion of the function (x² - 2x - 1)⁸

For the coefficient of x⁶, we need to find the term where the exponents add up to 6. This occurs when k = 3, which gives us:

(8 choose 3) (x²)⁵ (-2x - 1)³

= 56 x¹⁰ (-8x³ - 12x² - 6x - 1)

Hence, 1he coefficient of x^6 in the expansion of the function (x² - 2x - 1)⁸ is -336.

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"meso-" and "medi-" both relate to the middle or intermediate position, but they may be used in different contexts and have distinct origins (Greek and Latin, respectively).

The prefixes "meso-" and "medi-" have different meanings:

Meso-: The prefix "meso-" generally means "middle" or "intermediate." It is derived from the Greek word "mesos," which carries the same meaning. In scientific and medical terminology, "meso-" is often used to indicate something that is located in the middle or intermediate position.

For example:

Mesoderm: The middle germ layer in the early development of an embryo.

Mesozoic: The era between the Paleozoic and Cenozoic eras, often referred to as the "Age of Reptiles."

Medi-: The prefix "medi-" typically means "middle" or "between." It is derived from the Latin word "medius," which conveys a similar sense. In various contexts, "medi-" is used to indicate something that is in the middle or intermediary position.

For example:

Median: Referring to the middle value in a set of numbers or the middle line or point dividing something into equal halves.

Mediastinum: The central area within the thoracic cavity, located between the lungs, which contains the heart, great vessels, and other structures.

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Answer:

I can't see the last answer choice.

9/LM = 6/4.5

Step-by-step explanation:

9cm is to 6cm as LM is to 4.5cm

9/6 = LM/4.5

Rewriting:  9/LM = 6/4.5

Answer:

24

Step-by-step explanation:

PQ is equal to QR, therefore QR=3

Draw a perpendicular line down from R to line TS to form a triangle and since PT=6, the height of the right angle triangle would be 3.

The base of the right triangle would be 7-3=4. Using pytag. theorem \(\sqrt{4^{2}+3^2 }=5\)

Therefore RS=5.

So now we can sum up everything: PQ+PT+TS+RS+QR= 3+6+7+5+3=24

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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Answer:

Mr.poop was a very wise man he poop in the toilet and in the carpet he didn't know who he was but he was a very very wise man.

Answer:X=-13

Step-by-step explanation:

Answer: It is I believe because that's how scientific notation looks likes

Step-by-step explanation:

The value of the population proportion of people from Hawaii who exercised for at least 30 minutes a day 3 days a week cannot be determined from the given information alone. This is because we only have the sample proportions from Vermont and Hawaii.

However, we can use the sample proportions from Vermont and Hawaii to make inferences about the population proportions with some level of confidence. We can use statistical tests such as hypothesis testing and confidence intervals to estimate the population proportions within a certain range.

For example, if we conduct a  with a significance level of 0.05, we can test the null hypothesis that the population proportion of people from Hawaii who exercise for at least 30 minutes a day 3 days a week is equal to the sample proportion of 62.2%. If the test results in a p-value less than 0.05, we can reject the null hypothesis and conclude that the population proportion is likely different from 62.2%. On the other hand, if the test results in a p-value greater than 0.05, we cannot reject the null hypothesis and conclude that the population proportion is likely similar to 62.2%.

Alternatively, we can construct a confidence interval for the population proportion using the sample proportion, sample size, and a chosen confidence level (e.g. 95%). The confidence interval will give us a range of values within which the true population proportion is likely to fall. For example, a 95% confidence interval for the population proportion of Hawaii could be calculated as 0.622 ± 1.96 * sqrt((0.622 * (1 - 0.622)) / 100), which gives us a range of 0.529 to 0.715. This means that we are 95% confident that the true population proportion of people from Hawaii who exercise for at least 30 minutes a day 3 days a week falls within this range.

In summary, while we cannot determine the exact value of the population proportion from the given information, we can use statistical tests and confidence intervals to estimate it with some level of confidence.

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Answer:

x² - 9 x +3

Step-by-step explanation:

(-5x²)-(-6x²) = 1x²

8 - 5 = 3

Answer:

Distributive property.

Step-by-step explanation:

a(b+c)=

ab+ac

“a” is distributed into “b” and “c”.

or

“a” is shared with both “b” and “c”.

40 m³ is the volume of pyramid .

What is a pyramid defined as?

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces and polygonal base all come together in a summit known as the apex. By fusing the bases together at the peak, a pyramid is created. The lateral face, a triangular feature formed by the connection of each base edge to the apex, is present.

  L= 5

h = 4

s = 6

V = 6 * 4 * 5/3

   = 120/3

   = 40 m³

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The right answer is B. It is not applicable when data are continuous, is not a characteristic of the standard deviation.

The statement "It is not applicable when data are continuous" is not a characteristic of the standard deviation.

The standard deviation is a measure of the dispersion or variability of a dataset. It quantifies how spread out the values are from the mean. Explanation for other parts are as follows:

A. It can be calculated when the data contain negative or zero values:

This is true. The standard deviation can be calculated for datasets that contain negative or zero values. It considers the deviations from the mean, regardless of their sign.

C. It is always the square root of the variance:

This is true. A quadrilateral with exactly two sets of congruent following sides is called a kite. The variance is the average of the squared deviations from the mean.

D. Its physical interpretation is not as easy as the MAD:

This is a subjective statement. The physical interpretation of the standard deviation depends on the context and the familiarity of the user with the concept. However, it is often considered a more widely used and understood measure of dispersion compared to the Mean Absolute Deviation (MAD).

The statement "It is not applicable when data are continuous" is incorrect. The standard deviation can be calculated for both discrete and continuous data. The other options provided (A, C, and D) correctly describe characteristics of the standard deviation.

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FIRST ONE b SECOND d

Step-by-step explanation:

Answer:

first one is b and the second is d

Step-by-step explanation:hope this helped have a great day (;

Answer:

If a rectangle's perimeter and area is the same, and the width is three, then the length would be 6.