If m∠8 = 108 and m∠10 = 108, which lines are parallel? Justify your response.

Answer:

D

Step-by-step explanation:

y = x² - 4x - 5 → (1)

y = x - 9 → (2)

substitute y = x² - 4x - 5 into (2)

x² - 4x - 5 = x - 9 ( subtract x - 9 from both sides )

x² - 5x + 4 = 0 ← in standard form

(x - 1)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 4 = 0 ⇒ x = 4

substitute these values into (2) for corresponding values of y

x = 1 : y = 1 - 9 = - 8 ⇒ (1, - 8 )

x = 4 : y = 4 - 9 = - 5 ⇒ (4, - 5 )

The domain of the function:{x|x<-1 and x>1} or (-∞,-1] ∪[1,∞) and the range of the function {y|y∈R} or (-∞,∞) .

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

In the given graph we can see that the values of x are all real values greater than 1 and all real values less than 1

Therefore the domain of the function is set-builder notation is given by:

{x|x<-1 and x>1}

The domain of the function in interval notation is given by:

(-∞,-1] ∪[1,∞)

Therefore the range of the function is set-builder notation is given by:

{y|y∈R}

The range of the function in interval notation is given by:

(-∞,∞)

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The distance between opposite corners of the farmer's field is 90 yards. Therefore, the distance between opposite corners of the farmer's field is 90 yards.

To find the distance between opposite corners of a rectangle, we use the Pythagorean theorem. In this case, the length of one side of the rectangle is 72 yards, and the width is 54 yards. So, we can use the formula a² + b² = c², where a and b are the length and width, respectively, and c is the diagonal distance we want to find.

Substituting the values, we get:

72² + 54² = c²
5184 + 2916 = c²
8100 = c²

Taking the square root of both sides, we get:

c = √8100
c = 90

Therefore, the distance between opposite corners of the farmer's field is 90 yards.

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Answer: y=-x+1

Step-by-step explanation: So we know one equation of the line. And we know the slope of our soon to be line (the line that we're trying to find) So what you do is you graph it and then get your equation in slope intercept form. (I also noticed in your attached picture that the only problem you couldn't get had a negative slope, so incase you don't know  it means it's not going from top to bottom, but from bottom to top(in simple terms))

Answer:

see the picture attached

Step-by-step explanation:

To graph this, we will count to a negative five on the graph. This means that we will move to the left five spaces and plot a point at (-5,0). Now, we will create a vertical line at -5 to encapsulate all of the values found at x = -5. This is essentially an infinite line, but the picture I included shows it on a 10 x 10 plane. Hope this helps!

Answer:

What is X= -5 graphed

Step-by-step explanation:

Graph x=-5 x = −5 x = - 5 Since x = −5 x = - 5 is a vertical line, there is no y-intercept and the slope is undefined.

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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The match of each power of expression with its simplified expression are

(i)  (4⁰)⁻⁹     ⇔  (b) 4⁰  

(ii)  (-4⁹)²    ⇔  (a) (-4)¹⁸

(iii) (4⁶)⁻³    ⇔  (c) 1/4¹⁸

(iv) (4⁻³)⁻³  ⇔   (d) 4⁹.

To simplify these expressions, we use the rule which states that when we have a power raised to another power, we can multiply the exponents.

(i) (4⁰)⁻⁹ = 4⁰, So, (i) matches with Option(b) 4⁰,

(ii) (-4⁹)² = (-4)¹⁸, because 9×2 = 18,

So, (ii) matches with Option (a) (-4)¹⁸.

(iii) (4⁶)⁻³ = (4)⁻¹⁸ = 1/4¹⁸ ,

So, (iii) matches with Option (c) 1/4¹⁸.

(iv) (4⁻³)⁻³ = 4⁹, because -3×-3 = 9,

So, (iv) matches with Option (d) 4⁹.

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The given question is incomplete, the complete question is

Match each power of a power expression with its simplified expression:

(i)   (4⁰)⁻⁹          (a) (-4)¹⁸

(ii)  (-4⁹)²          (b) 4⁰

(iii) (4⁶)⁻³          (c) 1/4¹⁸

(iv) (4⁻³)⁻³        (d) 4⁹

Answer:

1336miles.

Step-by-step explanation:

From the question we are told that;

1km represents 0.62miles

1km = 0.62miles

We are to express 2155kilometers in miles.

2155km = x miles

Find x:

Divide both equations;

1/2155 = 0.62/x

Cross multiply;

1 * x = 2155 * 0.62

x = 1,336.1miles

Hence the correct option is 1336miles.

The factored expression of 8 + 12 is 4 * (2 + 3) and the factored expression of 120 + 300 is 60 * (2 + 5)

Rewrite 8 + 12 using the GCF and factoring.

The expression is given as:

8 + 12

Express 8 and 12 as the products of the factors.

So, we have:

8 + 12 = 4 * 2 + 4 * 3

Factor out 4 in the above expression

8 + 12 = 4 * (2 + 3)

Hence, the factored expression of 8 + 12 is 4 * (2 + 3)

Rewrite 120 + 300 using the GCF and factoring.

The expression is given as:

120 + 300

Express 120 and 300 as the products of the factors.

So, we have:

120 + 300 = 60 * 2 + 60 * 5

Factor out 60 in the above expression

120 + 300 = 60 * (2 + 5)

Hence, the factored expression of 120 + 300 is 60 * (2 + 5)

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Answer:

- 125

Step-by-step explanation:

Answer:

its 0

Step-by-step explanation:

Answer:

71.7

Step-by-step explanation:

If you draw out a picture and visualize it, you will be able to see that you need to use inverse cosine to solve this. Plug in cos^-1 (2.2/7) and you will get 71.7 as your answer.

Answer:

71.7 degrees

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A, B, and C can be ruled out because the equation would start with "3=" or end with -3

The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.

The volume of a cylinder can be calculated using the formula:

\(\[ V = \pi r^2 h \]\)

where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.

In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:

\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)

Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.

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onde esta a altenaativas

Answer:

refer to the attachment

Answer:

The answer is 9 cm to the nearest cm

Step-by-step explanation:

\(volume \: of \: a \: cone = \frac{1}{3} \pi {r}^{2} h\)

1256=1/3×22/7×r²×14

1256=1/3×22×2×r²

3768=44r²

44r²/44=3768/44

r²=942/11

take square root of both sides

r=9 cm to the nearest cm

Answer:

xxxxxxzzzjjznzjsbsbsbshj

Step-by-step explanation:

sekjxhxjdjdknxxbbxjdkekmdkdkddo

92 because I'm really good at math

The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

\(Z = \dfrac{X- \mu}{\sigma}\)

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,

A.) X= 60

\(Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25\)

B.) X = 71

\(Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125\)

C.) X = 92

\(Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25\)

Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

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Answer:

14x>200+5.5, She must sell 15 or more vases

Step-by-step explanation:

14x>200+5.5

14x>200+5.5

14x>205.5

x>14.68*

She must sell 15 or more vases

*You round up because you cannot sell a partial vase

Answer:

14v > 200 + 5.50v, she will have to sell 24 vases to make a profit

Step-by-step explanation:

It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.

14n > 200 + 5.50n

336 > 332, true

n > 23

Hope This Helps!

Answer:

(A,1) (A,2) (A,3) (A,4) (B,1) (B,2) (B,3) (B,4)

Hope that helped?

A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.

A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.

Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.

There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.

While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.

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The decision-maker is willing to pay a risk premium of $250 to eliminate the risk of lottery p', and a risk premium of $500 to eliminate the risk of lottery p?. Therefore, the decision-maker prefers lottery p?.

The decision-maker's utility function suggests that they have a logarithmic utility index, v(r) = In(2). To calculate the risk premia, we compare the expected utilities of the lotteries. For lottery p', the expected utility is E[v(p')] = (1/2) * v(-1000) + (1/2) * v(0) = (1/2) * In(2) + (1/2) * In(2) = In(2). For lottery p?, the expected utility is E[v(p?)] = v(-500) = In(2). Since both lotteries have the same expected utility, the decision-maker is indifferent between them in terms of expected utility.

However, the decision-maker is risk-averse, which means they prefer to eliminate risk when possible. To eliminate the risk of lottery p', the decision-maker is willing to pay a risk premium of $250 (which is half the difference between the potential losses of $1000 and $0). On the other hand, to eliminate the risk of lottery p?, the decision-maker is willing to pay a risk premium of $500 (the full potential loss amount).

Therefore, the decision-maker prefers lottery p? as they are willing to pay a higher risk premium to eliminate its risk.

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Answer:

1.787

Step-by-step explanation:

\( \\ \sf \frac{5 + \sqrt{2} }{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \)

\( \\ \sf = \frac{(5 + \sqrt{2}) }{5 - \sqrt{2} } \times \frac{(5 + \sqrt{2}) }{5 + \sqrt{2} }\)

\( \\ \sf = \frac{25 + 5 \sqrt{2 } + 5 \sqrt{2} + 2 }{( {5})^{2} - ( \sqrt{ {2}})^{2} } \)

\( \\ \sf = \frac{27 + 10 \sqrt{2} }{25 - 2} \)

\( \\ \sf = \frac{27 - 10 \sqrt{2} }{23} \)

Now putting the value of√2

\( \\ \sf = \frac{27 + 10 \times 1.414}{23} \)

\( \\ \sf = \frac{27 + 14.14}{23} \)

\( \\ \sf = \frac{41.14}{23} \)

\( \\ \sf = 1.787\)

In RAND function, when we click anyplace in the succeed sheet use duplicate and afterward glue as values. returns an irregular number that is more noteworthy than or equivalent to 0 and under 1.

The subject of arithmetic incorporates amounts and their varieties, conditions and related designs, shapes and their areas, and where they can be found. The expression "function" alludes to the connection between a bunch of information sources, every one of which has a related result. An association among data sources and results in which each info prompts a solitary, particular outcome is known as a capability. Each capability is given a space and a codomain, or scope. Normally, f is utilized to signify capabilities (x). input is a x. There are four fundamental sorts of capabilities open. in view of the accompanying variables: on capabilities, coordinated capabilities, many-to-one capabilities, inside capabilities, and on capabilities.

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Answer:

Hope it helped you.

Step-by-step explanation:

It was hard to type on a keyboard so I did it somewhere else...