if someone could please please help me with this I would appreciate it , if you could also explain your answer that would be great !

Answer:

∠ 2 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are corresponding angles and congruent, thus

∠ 2 = ∠ 1 = 40°

Answer: 3n+2

Step-by-step explanation:

cause the sun might be closer

Domain of function =  {-3 , -4}

Range of function =  {4 , -1 , -4}

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Given,

points on graph of a function are

(-3 , 4) , (-3 , -1) , (-4 , -4)

Range is set of y-values,

Range = {4 , -1 , -4}

Domain is set of x - values

Domain = {-3 , -4}

Hence, Domain and range of function are {-3 , -4} and {4 , -1, -4} respectively.

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Answer:

slope is -2 and y intercept is 7

Step-by-step explanation:

y=-2x+7

Answer:

Slope: -2/1 (rise over run) Y intercept: 7

Step-by-step explanation:

Place the equation into Y=mx+b

M=slope,B= Y intercept

Answer: To calculate the percent decrease of water in the tank, we can use the following formula:

Percent decrease = (Initial value - Final value) / Initial value x 100%

In this case, the initial value of water in the tank is 5 inches and the final value is 3 inches. So, the percent decrease is:

(5 - 3) / 5 x 100% = 2 / 5 x 100% = 40%

So, the percent decrease of water in the tank is 40%.

Step-by-step explanation:

To determine Bob's expected utility for each option, we calculate the utility for each outcome and weigh them by their respective probabilities.

Option A:

Expected utility = 0.5v(316 - 30) + 0.5v(4 - 0)

= 0.5v(48) + 0.5v(4) = 0.548 + 0.54 = 26.

Option B: Expected utility = v(8) = 8.  

Bob would choose Option A as it has a higher expected utility.

ii. Option A: Expected utility = 0.5v(-16) + 0.5v(-4) = 0.5*(-32) + 0.5*(-8)

= -20.

Option B: Expected utility = v(-12) = -24. Bob would choose Option B as it has a higher expected utility.

iii. Option A: Expected utility = 0.5v(8) + 0.5v(-4) = 0.58 + 0.5(-8) = 0. Option B: Expected utility = v(1) = 1.  Bob would choose Option B as it has a higher expected utility.

 (b) If Bob buys the hammer for $2, his utility would be v(-2) = -4. If he does not buy the hammer, his utility would be v(0) = 0. Bob would prefer not to buy the hammer since the utility is higher at 0.

(c) If Bob sells the hammer for $2, his utility would be v(2) = 2. If he does not sell the hammer, his utility would be v(0) = 0. Bob would prefer to sell the hammer since the utility is higher at 2. (d) Bob's buying price is not the same as his selling price.

This concept is known as loss aversion, where individuals tend to value losses more than equivalent gains. One study that demonstrates a similar concept is the "Prospect Theory" by Daniel Kahneman and Amos Tversky, which shows how people's decision-making is influenced by the potential for gains and losses and how they weigh them differently.

The study revealed that individuals are generally more averse to losses and are willing to take greater risks to avoid losses compared to the risks they are willing to take for potential gains of equal value.

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To find the molecular formula of a compound, we need to know its empirical formula and its relative molecular mass. The empirical formula of the compound is CH3, which indicates that it contains one carbon atom and three hydrogen atoms. The relative molecular mass of the compound is 30 grams per mol, which means that its molecular mass is 30 g/mol.

To find the molecular formula, we need to determine how many empirical formula units are present in one molecule of the compound. We can do this by dividing the molecular mass by the empirical formula mass. The empirical formula mass of CH3 is 15 g/mol (one carbon atom has a mass of 12 g/mol and three hydrogen atoms have a mass of 1 g/mol each).
So, molecular formula mass/empirical formula mass = n, where n is the number of empirical formula units in the molecule.
Molecular formula mass = 30 g/mol
Empirical formula mass = 15 g/mol
n = 30 g/mol ÷ 15 g/mol = 2
Therefore, the molecular formula of the compound is (CH3)2, which is C2H6. This means that the compound contains two carbon atoms and six hydrogen atoms per molecule.

In summary, the molecular formula of the compound with an empirical formula of CH3 and a relative molecular mass of 30 grams per mol is C2H6.

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it should be c because the puthagorean theorem is c^2=a^2+b^2 so subtract b^2 to the other side to keep a by itself and then sqare root both sides to get ride of the square on the a

Answer: y+7=-4(x-2)

Step-by-step explanation:

point slope formula is y-y1=m(x-x1)

it gives you m = -4

(x1,y1) = (-1,-7)

y-(-7) = -4(x-2)

negative of a negative number is positive

y+7=-4(x-2)

you leave that as your answer because thats  what point slope for is

its in that form ^  

The equation in point slope form for a linear function is \(y=4x+15\)

Given the following points:

To write an equation in point slope form for a linear function:

The standard form of an equation of line is given by the formula;

\(y-y_1=m(x-x_1)\)

Where:

Substituting the given parameters into the formula, we have;

\(y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15\)

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28 would be your answer

hope it helped you

Answer:

28

Step-by-step explanation:

+10

3r=84

/////////

3     3

r = 28

(a) The prοbability that a randomly selected persοn was a female = 900/2072 = 0.434

The possibility of an event occurring can be expressed using odds and probability, althοugh they are computed in different ways. Probability, which can be stated as a fraction, decimal, οr percentage, is the ratio of the number of likely outcomes to all pοtential possibilities.

(b) The probability that a randomly selected persοn was 18 to 24 years

= 607/2072 = 0.293

(c) The prοbability that a randomly selected person was a woman who was 35 years or older = (156 + 99 + 57)/2072 = 0.1506

(d) The required prοbability = (900 + 623 - 258)/2072 = 0.6105

(e) The required prοbability = 361/607 = 0.595

(f) The required prοbability = 365/1172 = 0.3114

                  Male    Female Total

13-17             91         84          175

18-24            361  246  607

25-34            365  258  623

35-44            205  156          361

45-54             100   99          199

55-64                   50   57          107

65 year and οlder 1172 900 2072

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a) The R-squared value is 0.67, which means that the independent variable explains 67% of the variation in the dependent variable.

b) The remaining 33% of the variation is due to other factors that are not included in the model.

The estimated regression equation is the equation that describes the relationship between the dependent variable and the independent variables. In this case, the output shows that the estimated regression equation is:

y = 44.05 + 1.48x

where y is the dependent variable and x is the independent variable.

The output shows that the F-statistic is 30.42, with a corresponding p-value of 0.000. This p-value is less than the significance level of 0.05, which means that we can reject the null hypothesis that the independent variable is not significant in explaining the variation in the dependent variable. Therefore, we can conclude that the regression model is useful.

Finally, the values of and in the output represent the standard error of the estimate and the R-squared value, respectively. The standard error of the estimate is a measure of the variability of the dependent variable around the regression line. In this case, the standard error of the estimate is 3.11, which means that the predicted values of the dependent variable can be off by an average of 3.11 units.

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Answer:  1/4 of the whole pizza

Step-by-step explanation:

Since there is 4 people sharing the pizza (Terrance and his three friends) we need to do 1 ÷ 4

1 ÷ 4 = 1/4.

In conclusion, each person recieves 1/4 of the pizza.

Hope this helps!

1/4 is the answer

.......................................................................................

The Kantian triangle consists of three fundamental concepts: freedom, morality, and equality.

The Kantian triangle is a conceptual framework developed based on the philosophy of Immanuel Kant, a prominent figure in Western philosophy. The triangle represents the interconnectedness of three essential ideas: freedom, morality, and equality.

Freedom, the first component of the Kantian triangle, refers to the inherent capacity of individuals to act autonomously and make choices without external coercion. According to Kant, human beings possess rationality and a moral duty to exercise their freedom responsibly.

Morality, the second component, represents the ethical principles and obligations that guide human behavior. Kant believed that moral actions should be grounded in reason and universalizable, meaning that individuals should act in a way that they would want everyone else to act in similar situations. For Kant, morality is not based on consequences but on the inherent value and dignity of rational beings.

Equality, the final component of the Kantian triangle, emphasizes the equal moral worth and inherent dignity of all individuals. Kant argued that every person possesses rationality and should be treated as an end in themselves, rather than a means to an end. This concept of equality underpins Kant's ethical theory and his notion of human rights.

In summary, the Kantian triangle consists of freedom, morality, and equality, which are interconnected and central to Kant's philosophical framework. These concepts highlight the importance of individual freedom, moral responsibility, and the equal worth of all human beings.

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Answer:

The height of the taller building is: 51.345m

Step-by-step explanation:

Given

The question has missing details (See attachment for the illustration of the complete question)

Required

The height of the tall building

The height, a, is calculated as:

\(a = b +c\)

To solve for b, we consider the upper half of the attached image

The upper half is a right triangle.

Using tan formula, we have:

\(tan(31) = \frac{b}{30}\)

Solve for b

\(b = 30 * tan(31)\)

To solve for c, we consider the lower half of the attached image

Using tan formula, we have:

\(tan(48) = \frac{c}{30}\)

Solve for c

\(c = 30 * tan(48)\)

Recall that: \(a = b +c\)

So:

\(a = 30 * tan(31) + 30 * tan(48)\)

\(a = 30 * 0.6009 + 30 * 1.1106\)

\(a = 18.027 + 33.318\)

\(a = 51.345\)

The number of field goals the team made in the game is equal to b. 3

The number of field goals the team made can be determined using an algebraic expression. An algebraic expression can be defined as an expression or equation that consists of both letters and numbers in it.

If the team scored 14 points from touchdowns and made x goals which are worth three points each, then an algebraic expression can be given as;

3(x) + 14 = 23

Solving for x;

3x = 23 - 14

3x = 9

x = 9 ÷ 3

x = 3

Hence, the team made a total of 3 field goals that are worth three points each.

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In point-slope form, the equation for line that passes through (-3 , -8) and slope -5 is :

y + 5x = -23.

Given a line with the coordinates (-3, -8) and a slope of m = -5.

For the line, we must find an equation in point slope form.

(y - y1 ) = m(x - x1) is the point slope form of a line.

According to the question,

(m) slope = - 5

And the line goes through (x1 , y1) = ( -3 , -8 )

Therefore( y - y1 ) = m ( x - x1)

y + 8 = -5 ( x + 3 )

y + 8 = -5x - 15

y + 5x = - 23

Therefore the equation for line in point-slope form is y + 5x = -23.

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The range of the data set is 16 inches.

The range of a data set represents the difference between the highest and lowest values in the set. In this case, the data set consists of the following heights (in inches):

59, 62, 62, 62, 64, 66, 67, 67, 67, 71, 72, 75

To find the range, we need to determine the minimum and maximum values in the set. By sorting the data set in ascending order, we can identify the minimum and maximum values more easily:

59, 62, 62, 62, 64, 66, 67, 67, 67, 71, 72, 75

The smallest value in the set is 59, which is the minimum value, and the largest value is 75, which is the maximum value.

To calculate the range, we subtract the minimum value from the maximum value:

Range = Maximum value - Minimum value

Range = 75 - 59

Range = 16 inches

Therefore, the range of the given data set is 16 inches. This means that the difference between the tallest and shortest student in the class is 16 inches.

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The given equation 3x^2 - y^2 + z^2 = 0 represents a surface known as an elliptic paraboloid. To sketch this surface using traces, we can fix one variable (either x, y, or z) and vary the other two to observe the resulting curve.

Let's fix x at a constant value of 0. Substituting x = 0 into the equation, we get -y^2 + z^2 = 0. This equation represents a pair of intersecting lines, forming a trace. By varying x and fixing y or z, we can obtain additional traces, which are also pairs of intersecting lines.

Thus, by considering multiple traces, we can sketch the elliptic paraboloid surface, which resembles a bowl or a saddle. The traces consist of intersecting lines that form a grid-like pattern on the surface.

Now, moving on to the second question, we are given two skew lines with parametric equations. To find the distance between these lines, we can use the closest distance formula.

First, we need to find a point on each line. By setting t = 0 in the first line's equations, we find a point (2, 3, 0). Similarly, setting s = 0 in the second line's equations gives us a point (1, 6, -2).

Next, we find the direction vectors for both lines. The direction vector for the first line is <1, 6, 2>, and for the second line is <2, 14, 5>.

Using the closest distance formula, we can calculate the distance between the two lines as follows:

distance = |(2-1, 3-6, 0+2) · (1, 6, 2) x (2, 14, 5)| / |(1, 6, 2) x (2, 14, 5)|

Simplifying this expression will give us the distance between the skew lines.

Please note that the exact calculations are omitted here, but following the steps outlined above will provide the desired distance.

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Answer:

The length of the other leg is 8.94 m.

Step-by-step explanation:

Given that,

Hypotenuse of a right triangle is 12 m

The length of the one of the legs of a right triangle is 8 m

We need to find the length of the other leg. It is based on the concept of Pythagoras theorem. Let the other leg is h. So, according to this theorem,

\(H^2=b^2+h^2\)

H = hypotenuse = 12 m

b = base = 8 m

\(h^2=H^2-b^2\\\\h^2=12^2-8^2\\\\h=\sqrt{80}\\\\h=8.94\ m\)

So, the length of the other leg is 8.94 m.

Answer:

twenty is 4 more than students

20 = 4 + students

20= 4 + 1/2 m

hence

2nd and 4th option is correct

Answer:

d) 14 1/2

Step-by-step explanation:

First, let's multiply 3(pinapple swirl cake) to find the total cups of flour for that.

3(2 1/3)=3(7/3)=3/1(7/3)=21/3=7

So, the total cups of flour for the pinapple cakes are 7 cups.

Next, let's find the chocolate cakes.

5(1 1/2)=5/1(3/2)=15/2=7 1/2

Add 7 1/2 and 7 together, and we get 14 1/2, or d)

Answer:

f(x)= -2/3x+490

Step-by-step explanation:

The graph of the function represents the amount of money Sal has, as a function of the number of sandwich lunch specials he sells.

Answer:

1. slope intercept form is y=mx+b, where m is the slope and b is y-intercept. To write this in slope intercept form we must isolate the y. 

2x+3y=1470

2x+3y-2x=1470-2x( subtraction will cancel the positive 2x on the left side)

3y=-2x+1470 ( since they are not like terms we can not combine them, we leave them separate)

3y/3=-2/3x+1470/3( cancel the 3 by dividing, EVERYTHING IN THE EQUATION gets divided to keep it equal) 

So, y=2/3x+490 in other words the slope of the equation is -2/3 and the y-intercept is 490.

2. To graph this equation plot 490 on the y-axis first, seeing it is the y-intercept. Then count over to the right 3 and down 2, to find your next point and do this for every other point. 

.3. In function notation this would look like this : f(x)=-2/3x+490. This function shows how the profit on wrap specials has changed as the number of sandwich specials sold increases

5. The next month Sals profit increased. The function changes because the y-intercept changes. The slope will stay the same.

Step-by-step explanation:

The calculated value of the tenth term, b₁₀ of the sequence is 78732

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

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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The point of concurrency that is determined by the three altitudes of any triangle is called orthocenter.

In geometry, an orthocenter is the intersection of the altitudes of a triangle. An altitude of a triangle is a line through a vertex of the triangle, perpendicular to the opposite side.

In other words, if you were to draw three lines from the vertices of a triangle down to the opposite sides, and these lines were all perpendicular to their respective sides, the point at which all three lines intersect would be the orthocenter of the triangle.

The orthocenter is one of the four points of concurrency that can be determined in a triangle, along with the circumcenter, the centroid, and the incenter. The circumcenter is the center of the circumcircle of the triangle, the centroid is the center of the triangle's mass, and the incenter is the center of the circle inscribed in the triangle.

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The correct answer is  this type of growing structure is passively heated by the sun and cooled by opening flaps or through exhaust of high tunnel / hoop house.

A high tunnel, also known as a hoop house, is a type of growing structure that is passively heated by the sun. It consists of a metal or plastic frame covered with a translucent material, such as polyethylene, that allows sunlight to enter. The sunlight warms the air inside the tunnel, creating a greenhouse effect and providing heat for the plants. The high tunnel design often includes features such as roll-up sidewalls or opening flaps that can be adjusted to control the temperature and ventilation inside the structure. This allows for cooling when necessary, either by opening the flaps or through exhaust mechanisms, helping to regulate the temperature and create optimal growing conditions for the plants.

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