n terms of the cotangent of a positive acute angle, what is the expression for cot5π9?

Answer:

What is the sum of the measures of the interior anles of a convex 13-gon? There is a formula... the sum of the measures of the interior angles of a convex n-gon is (n-2)180 degrees. For a triangle, n=3, so it's (1)180=180 degrees.

Step-by-step explanation:

180(n-2)

n=number of sides

from question, number of sides=13

substitute 13 into the equation given above

180(13-2)

180(11)

1980 is the answer

The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.

When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.

To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.

In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.

Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.

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Answer:

The answer is 3.7

Step-by-step explanation:

Use cross multiplication to set up the equation then simplify,

17y = 63

  y = 63/17

  y = 3.705

Round to the nearest tenth.

Solution is y = 3.07

Good luck!

Answer:

≈3.71

Step-by-step explanation:

To get from 17 to 9, you would divide by 17 and then multiply by 9, so in order to find y, you would multiply 7 by 9/17:

7 * 9/17

= 63/17

Now, you just have to simplify. That could be written as 3 12/17 if you turn it into a proper fraction, or if you turn it into a decimal, you would get about 3.71 (rounding to the tenths).

The cost for  \(1\frac{3}{4}\) pounds of milk chocolate is $ 6.16 more than the cost for  \(1\frac{3}{4}\) pounds of caramels.

Two or more expressions with an Equal sign is called as Equation.

The cost of each pounds of Caramels = $ 9.28,

So, the cost of \(1\frac{3}{4}\)  pounds of caramels =  \(1\frac{3}{4}\)×9.28

=7/4×9.28=$16.24

The cost of each pounds of milk chocolate = $ 12.80

So, the cost of \(1\frac{3}{4}\)  pounds of milk chocolate = \(1\frac{3}{4}\)  ×12.8

=$22.24

∵ 22.4 > 16.24,

the cost of  \(1\frac{3}{4}\) pounds of milk chocolate  > The cost of   \(1\frac{3}{4}\)pounds of caramels

22.4-16.24=6.16

Hence, the cost for  \(1\frac{3}{4}\) pounds of milk chocolate is $ 6.16 more than the cost for  \(1\frac{3}{4}\) pounds of caramels.

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a. The linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

b. If the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

a. Let's first find the slope of the line using the formula:

slope (m) = (y2 - y1) / (x2 - x1)

where (x1, y1) = (117, 73) and (x2, y2) = (180, 80).

slope = (80 - 73) / (180 - 117)

= 7 / 63

= 1/9

Now, let's use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Using the point (117, 73):

T - 73 = (1/9)(N - 117)

Simplifying the equation:

T - 73 = (1/9)N - (1/9)117

T - 73 = (1/9)N - 13

Now, let's rearrange the equation to solve for T:

T = (1/9)N - 13 + 73

T = (1/9)N + 60

Therefore, the linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

(b) If the crickets are chirping at 155 chirps per minute, we can estimate the temperature T using the linear equation we derived.

T(N) = (1/9)N + 60

Substituting N = 155:

T(155) = (1/9)(155) + 60

T(155) = 17.22 + 60

T(155) ≈ 77.22

Therefore, if the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

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Jon spend 56 minutes in reading

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Jon spent 1 hour 17 minutes less than Camden

Camden spent 47 minutes less than Pete.

Pete spent 3 hours reading.

Since, pete spent 3 hours. So, Camaden spent

= 3 hours or (180 minutes) - 47 minutes

= 2 hours 13 minutes.

Now, Jon spent = 2 hrs 13 minutes - 1 hour 17 minutes

                         = 56 minutes

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Answer:

12/-24 Simplified is 1/-2

Step-by-step explanation:

4-(-8)

-11-13

The width of the floor will be approximately 33 feet, and the area of the floor will be approximately 2,000 square feet.

1. Area of the dance floor = 2000 square feet

2. Width of the dance floor + 15 feet = Length of the dance floor

3. 2000 = Width x (Width + 15)

4. 2000 ÷ (Width + 15) = Width

5. 2000 ÷ (Width + 15) = 33.33

6. Rounded to the nearest foot, the width of the dance floor is 33 feet

The events manager is designing a rectangular outdoor dance floor with an area of 2000 square feet. To accommodate a DJ booth, the floor will be 15 feet longer than it is wide. To calculate the width, we can use the equation 2000 = Width x (Width + 15). Solving this equation yields a width of 33.33 feet. To the nearest foot, the width of the dance floor is 33 feet.

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Answer:

14

Step-by-step explanation:

can you please mark this brainliest if it helped? <3

Answer:

x =14

Step-by-step explanation:

-1/2 x+1 = -x+8

Add x to each side

-1/2 x +x+1 = -x+x+8

1/2x +1 = 8

Subtract 1 from each side

1/2x +1-1- =8-1

1/2x = 7

Multiply each side by 2

1/2x *2 =7*2

x =14

Note that the Absolute Values of the above numbers will be:

5,4,3,2,1,0,1,2,3,4,5. Since positive values cannot be represented on the Negative spectrum of the Coordinate system, we are left with 0,1,2,3,4,5 which means is represented by 0 ≤ x ≤ 5. See the attached Number Line.

A number line is a graphical representation of numbers on a line, where each point corresponds to a unique real number. It is important for understanding numerical concepts and operations visually.

The absolute value of a number is the distance of the number from zero, regardless of its sign. It is represented as a positive number and is important for understanding the magnitude of a quantity or a distance between two points on a number line.

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Answer:

5m - (14 • 8)

Step-by-step explanation:

pretty sure this is correct

Answer:

O A.

X = fy) = 7 + x

OB. X = f(y) = 7 + y

OC. y = f(x) = 7x

OD.y= f(x) = y - 7

O E. y = f(x) = 7 + y

Step-by-step explanation:

The molar volume of ethane at 300 K and 200 atm, calculated using the Van der Waals equation of state, is approximately 0.109 L/mol.

To calculate the molar volume, we need to solve the cubic equation obtained from the expanded Van der Waals equation of state:

V^3 - (b + pRT)V^2 + (pa)V - pab = 0

Given the values of a = 5.5088 L^2 atm mol^(-2) and b = 0.065144 L mol^(-1) for ethane gas, and the temperature T = 300 K and pressure p = 200 atm, we can substitute these values into the cubic equation.

Substituting the values into the equation, we have:

V^3 - (0.065144 + (200)(0.0821)(300))V^2 + (5.5088)(200)V - (200)(0.065144)(5.5088) = 0

Solving this cubic equation, we find that one of the roots corresponds to the molar volume of ethane at the given conditions, which is approximately 0.109 L/mol.

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There are 360 possible pizza configurations possible.

To find the number of pizza configurations that a customer can choose, use the fundamental principle of counting where we multiply the number of choices for each category.

For the pizza size, there are 3 options to choose from.

For the toppings, there are 10 options for the first topping, 9 options for the second topping, and 8 options for the third topping.

However, since the order of the toppings doesn't matter (e.g. pepperoni, sausage, and mushroom is the same as mushroom, sausage, and pepperoni), we have to divide the result by the number of ways to arrange each group of toppings, which is 3! (factorial of 3).

So, the number of pizza configurations that a customer can choose can be calculated as follows:

Number of configurations = 3(10)(9)(8) / 3!

= 3(720) / 6

= 3(120)

= 360

Therefore, there are 360 possible pizza configurations that a customer can choose.

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Answer:

You didn't say from least to greatest or greatest to least but I will do both

least to greatest: 1/8, 5/9 4/5

Greatest to least: 4/5  5/9  1/8

Step-by-step explanation:

1/8 is only 1 out of eight so that is obviously the least then you can covert 5/9 and 4/5 to the same denominator which is 45. 5/9 is now 25/45 and 4/5 is 36/45 36 is bigger than 25 so 4/5 is the greatest and 5/9 is the median

Answer:

1/8 least , 5/9 , 4/5 greatest

Step-by-step explanation:

From least to greatest it is great to picture a pie chart and view on how many pieces of pie would fill the pan or if you cant do that , the divided the numerator to the denominator.

4/5 ---->  80%

5/9 ----> 55%

1/8 ----> 12%

The percent change in size from 983 to 2,349 square feet was 138.8%.

The average American home swelled from 983 square feet in 1950 to 2,349 square feet in 2004, representing a change of 1366 square feet. This change can be expressed as a percent change by dividing the change (1366 square feet) by the starting value (983 square feet). The resulting percent change is 138.8%.

To calculate the percent change, we can use the following equation:
Percent Change = (Ending Value - Starting Value) / Starting Value x 100
Using this equation, the percent change in the size of the average American home is calculated as follows:
Percent Change = (2349 - 983) / 983 x 100 = 138.8%

This means that the average American home increased by 138.8% in size between 1950 and 2004. This is an impressive rate of growth and may be attributed to a number of factors. In 1950, the United States was in the midst of a period of rapid economic growth, and this may have allowed people to buy larger homes and upgrade to more luxurious accommodations. In addition, advances in technology and manufacturing may have made larger homes more affordable for more people.

Whatever the cause of the growth in home size, it is clear that the average American home saw a substantial increase in size between 1950 and 2004. The percent change in size from 983 to 2,349 square feet was 138.8%.

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Answer:

1

(2/3)^0=1

(1)^‐³

(1/1)³

1

Answer:

your slope intercept form is y=-5x+6

Step-by-step explanation:

you distribute the -5 and then you add 5 to your now positive 5 to isolate your y variable

then once you have the equation you start at your y-intercept (0,6) and then you go up and or down 5 then you move to the left one because you have a negative slope

Answer: 24 and 27 degrees

Step-by-step explanation:

The 2 other angles add up to 360 - 303 - 6 = 51

51/(8+9) = 51/17 = 3

The 2 angles are 3*8 and 3*9, which are 24 degrees and 27 degrees

Answer:

A: 5

B: 2

C: -34

If the sample mean is 12.8, sample standard deviation is 2 and sample size is 20, then the student's t-distribution should be use to perform the hypothesis test

The population mean = 13

The sample mean = 12.8

The standard deviation = 2

The sample size of the population = 20

The given condition is the underlying population is normal.

Here population standard deviation is missing in the given data. So to perform a hypothesis test when the population standard deviation is missing then we have to use the student t-distribution

Therefore, the student's t-distribution should be use to perform the hypothesis test

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Answer:

33 braids

Step-by-step explanation:

What you want to do is first put in the equation. You put in 0.75x + 4=29.

Then you subtract 4 from 29 and get 25. Then divide 25 by 0.75 and you get the answer 33.3333333333. Round it to the nearest whole number and you get the final answer of 33 braids.

Step-by-step explanation:

7y = 7

y = 1

2(1) + 4x = 14

4x = 12

x = 3

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer:

Letter B. sir

Step-by-step explanation:

pls give me a brainly

Answer:

A.16.5 if that’s incorrect try b.33

Step-by-step explanation:

The formula is: A = B * H where B is the base, H is the height, and * means multiply.

it may be wrong I’m not sure but  30 * 11 is 330 divded by 2 is 16.5

Answer:

A Jenna

Step-by-step explanation:

Because if Jenna received 22% votes and Jordan, Kelsey, Nathan received less 20 percentage that means Jenna won for school president.