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1. Which angle is vertically opposite to DGE

Answer: CAELYNN YOU WWELCOME

Step-by-step explanation:

7 +7+7+7+7+7

Answer:

96

Step-by-step explanation:

We simply need to plug in a = 4 so 6a² = 6 * 4² = 6 * 16 = 96.

Answer:

36

Step-by-step explanation:

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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To solve f[g(6)], we first need to solve g(6). g(6) = 6 - 8 = -2. Then, we need to solve f(-2). f(-2) = 6(-2) - 12 = -24. Therefore, f[g(6)] = -24.

The function f(x) = 6x - 12 is a linear function. The function g(x) = x - 8 is a piecewise function. The piecewise function has three cases: If x = 0, then g(x) = 24. If x = 8, then g(x) = -96. Otherwise, g(x) = x - 8. In this case, x = 6, so we use the third case of the piecewise function. Therefore, g(6) = 6 - 8 = -2. Now that we know g(6) = -2, we can solve for f[g(6)]. f[g(6)] = f(-2) = 6(-2) - 12 = -24.

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Answer:

$6.75 Per pound

Step-by-step explanation:

2.25 = 1/3

2.25 + 2.25 = 2/3

2.25 + 2.25 + 2.25 = 6.75 / 3/3

Answer:

B

Step-by-step explanation:

Its obvious

Answer: 5プラスマイナス6はマイナス1です。

Step-by-step explanation:

Answer:

Isoscles right i think

The graph of the inequality y > x² - 9 is given by the image presented at the end of the answer.

The inequality for this problem is given as follows:

y > x² - 9.

For the curve y = x² - 9, we have that:

Due to the > sign, the values greater than the inequality, that is, above the inequality, are shaded.

As the inequality does not have an equal sign, the parabola is dashed.

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Option C. is correct one, (1, 3) is a vertex (out of two) of the hyperbola.

In a hyperbola, the vertex refers to the point where the transverse axis intersects the hyperbola. The transverse axis is the axis that passes through the two vertices of the hyperbola, and it is perpendicular to the imaginary axis that separates the two branches of the hyperbola.

There are two vertices in a hyperbola, one on each side of the imaginary axis. The distance from each vertex to the center of the hyperbola is equal to the value of the constant.

The question specifies that the dot on the hyperbola denotes the vertices in both graph,

They are (1,3) and (1,- 7)

However, (1,3) is on the given option of possible answers, while (1,-7) is not,

Thus , (1,3) is a vertex (out of two) of the hyperbola.

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Answer:

The numbers would be placed inside of natural numbers

Step-by-step explanation:

Such number would be placed inside natural numbers.

Integers are whole numbers and their opposites. This means that an integer can be a negative number.

Whole numbers are counting numbers, including Zero and excluding negative numbers. Therefore whole numbers are greater than or equal to 0

Natural numbers are counting numbers excluding Zero and Negative numbers.

From the above definitions, we can agree that natural numbers exists in whole numbers and also exists in integers, but neither of the two exists in natural numbers.

We can then say that

Natural numbers is a subset of whole numbers which is a subset of integers.

Natural numbers < Whole numbers < Integers.

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Answer:

For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.

Hope this helps! :D

Answer:

I am not the best in this type of math, the best thing I can do is help you.

You see that there is a pattern in the chart? X adds 2 every column, and Y adds 4 every column.

I believe the slope simplified is 2/1, if you are following y/x. If not, then the other way around.  

Unfortunately, I can't help you with the rest of the problem, but I hope you can get a good idea of what your supposed to do.

Have a good day.

Answer:

31.2

Step-by-step explanation:

Change 60% into 0.6 by moving the decimal 2 points to the left

Multiply 0.6 by 78 to get 46.8

Subtract 78 and 46.8 to get 31.2 which is your answer

The solution is:  the final price of the shirt is: 26.84

Here, we have,

given that,

Original price of the shirt is  $28

Discount is 10%

Tax 6.5%

Take the original price and subtract the discount

28 - 10% * 28

=28 - 2.8

= 25.2

Now add in the tax

25.2+.065*25.2

=25.2+1.638

=26.838

Rounding to the nearest cent

26.84

Hence, The solution is: the final price of the shirt is: 26.84

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The heat required is 23.76KJ .To boil 70.7 g of hexane (C6H14) starting from a temperature of 18.6 °C, approximately 1861 J (joules) of heat is required.

To calculate the heat needed to boil a substance, we use the equation:

Q = m * ΔHvap

where Q represents the heat, m is the mass, and ΔHvap is the heat of vaporization. The heat of vaporization for hexane is 28.9 kJ/mol.

First, we need to determine the number of moles of hexane in 70.7 g. The molar mass of hexane (C6H14) is approximately 86.18 g/mol, so we can calculate:

moles = mass / molar mass

moles = 70.7 g / 86.18 g/mol ≈ 0.821 mol

Next, we multiply the number of moles by the heat of vaporization:

Q = moles * ΔHvap

Q = 0.821 mol * (28.9 kJ/mol * 1000 J/1 kJ)

Q ≈ 23.76 kJ ≈ 23760 J

Finally, we round the answer to three significant digits:

Q ≈ 23.76 KJ

Therefore, approximately 1861 joules of heat are required to boil 70.7 g of hexane starting from a temperature of 18.6 °C.

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The complete question is:

Calculate the amount of heat needed to boil 70.7 g of hexane (C6H14), beginning from a temperature of 18.6 °C. Round your answer to 3 significant digits.

Also, be sure your answer contains a unit symbol.

Therefore, when the water is 6 inches deep, the rate of rise is 1.25 ft/min.
The rate at which the water level is rising when the water is 6 inches deep can be calculated by using the following formula:

Rate of rise = Volume/Time

Given:

The volume of water in the trough when the water is 6 inches deep can be calculated using the following formula:

Volume = Length x Width x Depth

Volume = 10 ft x 3 ft x 0.5 ft (6 inches = 0.5 ft)
Volume = 15 ft3

Rate of rise = Volume/Time
Rate of rise = \(15 ft3/12 ft 3/min\)

Rate of rise = \(1.25 ft/min\)

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The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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Answer:

(a) Three numbers that could be Jenny's favorite number are;

2, 8, and 18

(b) Yes

Step-by-step explanation:

(a) Let Jenny's favorite integer be X, we have;

√X × √2 = Y where Y is an integer

Therefore, the square root of Jenny's favorite number has a factor of √2 which gives the possible options as

2 with √2 being the square root

8 with √8 = 2·√2

18 with √18 being 3·√2

(b) By dividing each of the square root of the possible Jenny's favorite number, we have;

i) For the integer 2 we have;

√2/√2 = 1 which is an integer

ii) For the integer 8 we have;

√8/√2 = 2·√2/√2 = 2 which is an integer

ii) For the integer 18 we have;

√18/√2 = 3·√2/√2 = 3 which is an integer

The equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

To find rs and st, we need to write an equation in terms of x using the given information and then solve for x.

Let's suppose that rs and st are two line segments, and x represents the length of rs. To find the lengths of rs and st, we can set up an equation based on the given information.

From the problem, we know that the length of st is three times the length of rs. This can be expressed as:

st = 3 * rs

Additionally, the total length of rs and st is 32 units. Mathematically, this can be represented as:

rs + st = 32

Now, we can substitute the value of st from the first equation into the second equation:

rs + 3 * rs = 32

Simplifying this equation, we have:

4 * rs = 32

To solve for rs, we divide both sides of the equation by 4:

rs = 32 / 4

rs = 8

Hence, we have found that rs is equal to 8 units.

To find the length of st, we can substitute the value of rs into the first equation:

st = 3 * rs

st = 3 * 8

st = 24

Therefore, the length of st is 24 units.

In summary, the equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

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Answer:

Step-by-step explanation:

factors of 8

Answer:

F- of a 8* i think

Step-by-step explanation:

To check which point satisfies the inequality 2x + y > 10, we substitute each value of x and y in the equation.

A. 2(2) + 3 > 10

    7 > 10

  This is incorrect. So the point does not satisfy the expression.

B. 2(3) + 2 > 10

    8 > 10

    This is also incorrect.

C. 2(4) + 3 >10

     11 > 10

     This is correct since 11 is greater than 10. So point (4,3) satisfies the inequality.

D. 2(3) + 4 > 10

    10 > 10

 This is also incorrect.

What is inequality?

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Rounding to the nearest thousandth, the margin of error for this survey, expressed as a proportion, is approximately 0.020.

To calculate the margin of error for a survey, we can use the formula:

Margin of Error = Z × √((p × (1-p)) / n)

Where:

Z represents the z-score corresponding to the desired confidence level,

p represents the proportion of respondents who preferred candidate A,

n represents the sample size.

The sample size (n) is 1900, and the proportion of respondents who preferred candidate A is 1520/1900.

p = 1520/1900

≈ 0.8

We need to find the z-score corresponding to a 95% confidence level. For a 95% confidence level, the z-score is approximately 1.96.

Substituting the values into the formula:

Margin of Error = 1.96 × √((0.8 × (1-0.8)) / 1900)

Calculating the expression inside the square root:

(0.8 × (1-0.8)) ≈ 0.16

Margin of Error = 1.96 × √(0.16 / 1900)

Calculating the square root:

√(0.16 / 1900) ≈ 0.01016

Margin of Error = 1.96 × 0.01016

≈ 0.0199

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Using integration, the value of \(\((x + 5y) \, dA\)\) over the region D is \(\(\frac{\pi}{2}(8x + 20y)\)\).

To evaluate the expression \(\((x + 5y) \, dA\)\) over the given region \(\(D = \{(x, y) \, | \, x^2 + y^2 \leq 16, \, x > 0\}\)\), we need to integrate the function \(\((x + 5y)\)\) over the region D.

Since D is a disk with a radius of 4 centered at the origin and restricted to the positive x-axis, we can express the region D in polar coordinates as \(\(0 \leq \theta \leq \frac{\pi}{2}\)\) and \(\(0 \leq r \leq 4\)\).

The expression \(\((x + 5y) \, dA\)\) in polar coordinates is \(\(r(x + 5y) \, dr \, d\theta\).\)

Now, we can set up the integral as follows:

\(\(\int_{0}^{\frac{\pi}{2}} \int_{0}^{4} r(x + 5y) \, dr \, d\theta\)\)

Integrating with respect to r first, we get:

\(\(\int_{0}^{\frac{\pi}{2}} \left[ \frac{1}{2}r^2(x + 5y) \right]_{0}^{4} \, d\theta\)\)

Simplifying further, we have:

\(\(\int_{0}^{\frac{\pi}{2}} (8x + 20y) \, d\theta\)\)

Now, integrating with respect to \(\(\theta\)\) over the range \(\([0, \frac{\pi}{2}]\)\), we obtain:

\(\(\left[ (8x + 20y) \theta \right]_{0}^{\frac{\pi}{2}}\)\)

Substituting the limits and evaluating the integral, we get:

\(\((8x + 20y) \cdot \frac{\pi}{2}\)\)

Finally, we can express the result as:

\(\(\frac{\pi}{2} (8x + 20y)\)\)

Therefore, the value of \(\((x + 5y) \, dA\)\) over the region D is \(\(\frac{\pi}{2} (8x + 20y)\)\).

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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The null hypothesis should be rejected. In statistics, a hypothesis is a supposition or statement that is presumed to be accurate but has yet to be proven or disproven. A hypothesis might be called a "guess" or a "hunch," but in reality, it's a logical and testable statement that attempts to describe a phenomenon, behavior, or occurrence. In the statistical inference process, hypotheses are an important component.

Null hypothesis and alternate hypothesis are the two types of hypotheses used in the inference process. The null hypothesis is a statistical hypothesis that postulates that there is no difference between a population parameter and a sample statistic or between two population parameters. The null hypothesis indicates that any observed difference between a sample and a population is due to chance or sampling error. According to the exhibit given above, it can be inferred that the null hypothesis should be rejected. The null hypothesis postulates that there is no difference between a population parameter and a sample statistic or between two population parameters. However, if the null hypothesis is rejected, it means that there is a significant difference between the sample and population parameters or between the two population parameters. Therefore, option a, "should be rejected," is the correct answer.

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Answer:

1.20548  Or 1.21

Step-by-step explanation:

Hope this helps!

Answer: 440 Days = 1.2054 Years = 1 Year, 2 Months and 2 Weeks

Step-by-step explanation: hope this helps a little!!!

Step-by-step explanation:

\(f(g(x))\)

\( \frac{8}{ \frac{8}{x} } \)

\(8 \times \frac{x}{8} \)

\( \frac{8x}{8} \)

\(x\)

The same steps will be for g(f(x))

Answer:

0.01058201058

Step-by-step explanation: