What is the angular position in radians of the minute hand of a clock at 3:30? Express your answer using three significant figures. θ =__ rad

Answer: 4/3

Step-by-step explanation: To determine the slope, let's use the two points.

The slope or m is equal to the rise over run from one point to the next.

So let's start off with the lower point on the coordinate system.

To get from the lower point to the higher point,

we rise 4 units and run 3 units so our slope or rise/run is 4/3.

Answer:

x = 11/5

Step-by-step explanation:

Step 1: Write equation

5x + 1 = 12

Step 2: Solve for x

Answer:

x = 11 / 5 or 2 ¹/₅

Step-by-step explanation:

5x + 1 = 12

5x = 12 - 1

x = 11 / 5 or 2 ¹/₅

Answer:

1 3/4

Step-by-step explanation:

Convert all the time listed to decimal number, let 9 1/4 (or 9.25hr subtract all of them) and divide by 2. Final answer is ~1.75 which is 1 3/4

The number of hours Sandy practices on Saturday is [tex]3\frac{1}{2}[/tex] hours. Therefore, option C is the correct answer.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Sandy is required to practice her clarinet for a total of [tex]9\frac{1}{4}[/tex] hours in one week.

Let the number of hours Sandy practices on Saturday be x.

Now, [tex]\frac{3}{4}+1\frac{1}{6}+\frac{1}{2}+1\frac{1}{3}+2+x=9\frac{1}{4}[/tex]

3/4 +7/6 +1/2 +4/3+2+x= 37/4

9/12 +14/12+6/12 +16/13+24/12+x=37/4

(9+14+6+16+24)/12 +x=37/4

69/12 +x=37/4

x=37/4 -69/12

x= 111/12 -69/12

x= (111-69)/12

x= 42/12

x= 7/2

x= [tex]3\frac{1}{2}[/tex] hours

Therefore, option C is the correct answer.

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Answer:

              [tex]\boxed{\,\bold{y=-6\left(x-\frac14\right)^2+\,\frac{19}8}\,}[/tex]

Step-by-step explanation:

[tex]y= -6x^2 +3x+2\\\\y=-6\big(x^2-\frac16\cdot3x-\frac16\cdot2\big)\\\\y=-6\big(x^2-\frac12x-\frac13\big)\\\\ y=-6\big(\underline{x^2-2\cdot x\cdot\frac14+(\frac14)^2}-(\frac14)^2-\frac13\big)\\\\ y=-6\big((x-\frac14)^2-\frac1{16}-\frac13\big)\\\\ y=-6(x-\frac14)^2+\frac38+2\\\\ \underline{y=-6(x-\frac14)^2+\frac{19}8}[/tex]

Answer:

The amount will be y = 970

Step-by-step explanation:

Equation 1:

y =  60 + 65x

Equation 2:

y = 200 + 55x

Solve for x and y

60 + 65x = 200 + 55x

10x = 140

x = 14

y = 200 + 55 (14)

y = 970

HOPE THIS HELPS :)

Answer:

1) 14 months

2) $970

Step-by-step explanation:

We know that the Community Gym charges a $60 membership fee and a $65 monthly fee.

So, we can write the following equation:

[tex]y=60+65m[/tex]

Where y is the total cost, 60 is the one-time membership fee, and 65m is the cost for m months.

Workout Gym charges a $200 membership fee and a $55 monthly fee. So, we can write the following equation:

[tex]y=200+55m[/tex]

Where y is the total cost, 200 is the one-time membership fee, and 55m is the cost for m months.

Question 1)

We want to know after how many months will the total amount of money paid to both gyms be the same. So, let's set the equations equal to each other:

[tex]60+65m=200+55m[/tex]

To find the number of months, let's solve for m.

Subtract 55m from both sides:

[tex]60+10m=200[/tex]

Subtract 60 from both sides:

[tex]10m=140[/tex]

Divide both sides by 10:

[tex]m=14[/tex]

So, after 14 months, the cost of going to Community Gym or Workout Gym will be the same.

Question 2)

To find the amount, simply substitute 14 back into either equation. Let's do it for both.

We have:

[tex]y=60+65m[/tex]

Substitute 14 for m:

[tex]y=60+65(14)[/tex]

Multiply and add:

[tex]y=60+910=\$970[/tex]

We have:

[tex]y=200+55m[/tex]

Substitute 14 for m:

[tex]y=200+55(14)[/tex]

Multiply and add:

[tex]y=200+770=\$970[/tex]

So, after 14 months, both gym will cost $970.

And we're done!

Answer:

l

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 x 8 = 48

11,04 x 6 = 66,24

66,24/48 = 1,38$

Answer:

if your total grade is 69 then you get a 60 on a test your new grade would be a 64.5

Step-by-step explanation:

69+60=129

129÷2=64.5

Based on the number of household and its probability distribution, the  expected size of a household in Cityville is determined as 2.

option A is the correct answer.

The expected size of a household in Cityville is calculated by applying the following formula as follows;

Mathematically, the expected size of a household is calculated as;

P(x) · x

From the given number of household and its probability, the  expected size of a household in Cityville is calculated as;

= 0.21(1) + 0.28(2) + 0.16(3) + 0.22(4) + 0.06(5) + 0.04(6) + 0.02(7) + 0.01(8)

= 2.01

≈ 2

Thus, from the given number of household and its probability distribution, the  expected size of a household in Cityville is determined as 2.

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Answer:

its either c or b I'm pretty sure its b

Answer: r=1

Step-by-step explanation: r" is the correlation coefficient. It is always between -1 and 1, with -1 meaning the points are on a perfect straight line with negative slope, and r = 1 meaning the points are on a perfect straight line with positive slope.

Answer:

Should be D

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Subtract the 15 and the 2(they are the y-values) to get the length of one of the legs

Answer: the commutative property

Step-by-step explanation: I took the test

Answer:

communicative property

Step-by-step explanation i just had it on my high school test also please thank me i just want to see if i get a notification

Answer:

N=6

Step-by-step explanation:

−3(

Hence, Y  =   -2x,  For  x  <   -5,   The Function  Y  =  | x  -  5 |  +  | x  +  5 |

Therefore,  For:   x  <  -5,  The Function:  Y  =  | x  -  5 |   +   | x  +  5 |

Simplifies to:   Y   =   -2x

To solve the problem, We need to consider the definition of the ABSOLUTE VALUE FUNCTION and the given condition:   x   <  -5

We will break the absolute value expressions into their respective cases and simplify the equation.

        Since:   x   <   -5,   We now have:

        x   -  5  <  0   and   x   +  5  <  0

        | x  -  5 |   =   -(x  -  5)   and  | x  +  5 |  =   -(x  +  5)

        Y  =   -(x  -  5)  +  ( -(x  +  5))

       Y   =   -x  +  5  -  x  -  5

        Y  =   -2x

        For  x  <   -5,   The Function  Y  =  | x  -  5 |  +  | x  +  5 |

        Simplifies to:    Y  =  -2x

Hence, Y  =   -2x,  For  x  <   -5,   The Function  Y  =  | x  -  5 |  +  | x  +  5 |

I hope this helps you!

Answer: 443

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

1. Subtract 2 from both sides.

5y=22 -2

This equals 5y=20

2.Divide by 5 on each side. That gets 4.

Hope it helped :)

Answer:

[tex](\frac{1}{14} ,-\frac{7}{6})[/tex]

Step-by-step explanation:

You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]

So, the Change In X is: [tex]\frac{4}{7} -\frac{3}{7} = \frac{1}{7}[/tex]

And the Change in Y is: [tex]-\frac{5}{3} - \frac{2}{3} = -\frac{7}{3}[/tex]

Once you divide both of the changes by 2, you get

X: [tex]\frac{1}{14}[/tex]

Y: [tex]-\frac{7}{6}[/tex]

So the midpoint is: [tex](\frac{1}{14} ,-\frac{7}{6})[/tex]

A.  The film's overall message seems to emphasize the importance of personal growth, self-discovery, and finding one's own path amidst societal and religious expectations.

B. Both films offer nuanced perspectives on the role of Islam in society, encouraging viewers to critically examine the complexities and implications of religious beliefs and practices.

Among the three films mentioned, "Year of the Elephant" and "Bab el-Oued City" feature representations of Islam. Let's discuss how Islam is portrayed in these two works, compare and contrast their depictions, and analyze how these representations contribute to the overall messages of the films.

"Year of the Elephant": "Year of the Elephant" is a Moroccan film directed by Hamid Bennani. It is based on a novella by renowned Moroccan author Tahar Ben Jelloun. The story revolves around Zahra, a young woman struggling with her faith and personal identity. Islam is a central theme in the film, explored through Zahra's spiritual journey.

Islam is portrayed as a deeply ingrained cultural and religious force in Zahra's life. Zahra grapples with societal expectations and norms associated with being a Muslim woman. The film highlights traditional interpretations of Islam that restrict women's freedom and agency. There is a focus on the pressures faced by Zahra, including her arranged marriage and adherence to conservative gender roles prescribed by her community.

The portrayal of Islam in "Year of the Elephant" raises questions about the intersection of religion, culture, and personal autonomy. It examines the tension between adhering to religious traditions and pursuing individual desires. The film's overall message seems to emphasize the importance of personal growth, self-discovery, and finding one's own path amidst societal and religious expectations.

"Bab el-Oued City": "Bab el-Oued City" is an Algerian film directed by Merzak Allouache. The narrative revolves around societal tensions and political unrest in Algeria during the 1990s. While Islam is not the primary focus of the film, it is depicted as an influential aspect of Algerian society, particularly within the context of political and ideological struggles.

In "Bab el-Oued City," Islam is portrayed through various characters representing different perspectives and interpretations. Some characters are depicted as devout Muslims, engaging in rituals and prayers, while others exploit religion for personal gain or political manipulation. There is a portrayal of religious fundamentalism and its impact on society, highlighting the extremist views held by certain individuals.

The film explores the complex relationship between Islam, politics, and social dynamics. It sheds light on how religious ideologies can be manipulated to serve political agendas, leading to division and conflict within communities. The representation of Islam in "Bab el-Oued City" serves to provoke thought about the consequences of radicalization and the need for societal unity amidst ideological differences.

While both films touch upon the theme of Islam, their portrayals differ in focus and approach. "Year of the Elephant" primarily explores the personal struggles and identity crisis of an individual Muslim woman within a traditionalist society. On the other hand, "Bab el-Oued City" delves into the broader socio-political implications of Islam within a country undergoing significant turmoil.

In terms of their overall messages, "Year of the Elephant" emphasizes individual liberty and self-discovery within the confines of religious and societal expectations. It encourages viewers to question and challenge prevailing norms to find personal fulfillment. Conversely, "Bab el-Oued City" draws attention to the dangers of extremism and manipulation of religious beliefs for political purposes. It underscores the importance of understanding and bridging ideological divides to foster harmony and progress.

Both films offer nuanced perspectives on the role of Islam in society, encouraging viewers to critically examine the complexities and implications of religious beliefs and practices.

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Answer:

6

Step-by-step explanation:

5^24 = 5^30/5^x subtract x from 30

5^24 = 5^30-x since the bottom numbers are equal the powers must be equal as well

24 = 30 - x

x = 6

Answer:

57

Step-by-step explanation:

The probability that the experiment results in an outcome less than 40 is 0.25.

To calculate the probability, we need to determine the range of outcomes that are less than 40 out of the total range of 30 to 80. The total range is 80 - 30 = 50. The range of outcomes less than 40 is 40 - 30 = 10.

To find the probability, we divide the range of outcomes less than 40 by the total range:

Probability = (Range of outcomes less than 40) / (Total range)

          = 10 / 50

          = 0.2

Therefore, the probability that the experiment results in an outcome less than 40 is 0.2 or **20%**.

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Answer:

0>32/3. no solution

Step-by-step explanation:

hopes this helps

In the given problem, we need to determine the linear independence of the vectors (2 + x, e*) and the set S = {(1,0,1,0), (0,2,0,2), (2,6,2,6)}. To show that (2 + x, e*) is linearly independent, we need to demonstrate that the only solution to the equation a(2 + x) + be* = 0 is a = b = 0. For the set S, we can determine linear dependence by checking if there exist scalars a, b, and c, not all zero, such that a(1,0,1,0) + b(0,2,0,2) + c(2,6,2,6) = 0.

To show that (2 + x, e*) is linearly independent, we assume that a(2 + x) + be* = 0 for some scalars a and b. Expanding this equation, we get 2a + ax + be* = 0. Since e* is a nonzero vector, the only way for this equation to hold is if a = b = 0. Thus, (2 + x, e*) is linearly independent.

For the set S = {(1,0,1,0), (0,2,0,2), (2,6,2,6)}, we can determine linear dependence by checking if there exist scalars a, b, and c, not all zero, such that a(1,0,1,0) + b(0,2,0,2) + c(2,6,2,6) = 0. By performing the vector addition and scalar multiplication, we get (a + 2c, 2b + 6c, a + 2c, 2b + 6c) = (0, 0, 0, 0).

To determine if this equation has nontrivial solutions, we can set up a system of equations:

a + 2c = 0,

2b + 6c = 0,

a + 2c = 0,

2b + 6c = 0.

Simplifying these equations, we find that a = -2c and b = -3c. Since c can take any non-zero value, we have infinitely many solutions that satisfy the equation. Therefore, the set S is linearly dependent.

In conclusion, (2 + x, e*) is linearly independent, while the set S = {(1,0,1,0), (0,2,0,2), (2,6,2,6)} is linearly dependent.

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