there a 158 beats per minute in a certain taylor swift song. if the song is 3 minutes and 30 seconds long, how many total beats are there Step by step

Answer:

A. 5

Explanation:

Given the points (-1,2) and (2,6):

To find the distance between the points, we use the distance formula:

The distance between the given points is 5 units.

The equation of the circle in the picture is

Information given in the question

center at the point (2, -1)

radius = 3

The equation of a circle with radius given as 3 is solved as below

Equation of a circle is given as

(x - h)² (y - k)² = r²

where h and k refers to points at the center, substituting the values gives

(x - 2)² (y - (-1))² = 3²

(x - 2)² (y + 1)² = 3²

(x - 2)² (y + 1)² = 9

hence option C represents the equation of the circle

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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The maturity model levels in which an informal culture that values improvement and drives the organization occurs are the "Optimization of Project Management System" maturity model levels.

Explanation:

What is a maturity model?

A maturity model is a framework that assesses the organizational maturity of an organization in terms of best practices, such as project management. It offers a methodology for the evaluation and improvement of a company's business processes, tools, technology, and competencies. The Project Management Maturity Model, also known as PMMM, is an example of such a model.

Maturity Model Levels

The five levels of the project management maturity model are defined as follows:

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Answer:

The answer is d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

got an a

Answer:

\( PQ + QR = PR \) => equation 1

\( RS + ST = RT \) => equation 2

\( PR + RT = PT \) => equation 3

Step-by-step explanation:

Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:

\( PQ + QR = PR \) => equation 1

\( RS + ST = RT \) => equation 2

\( PR + RT = PT \) => equation 3

More equations can actually be written from the diagram given using the segment addition postulate. Such as:

\( PQ + QR + RS + ST = PT \)

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

On average, customers will need to wait approximately 7.5 minutes at the fast food restaurant.

To determine the average wait time for customers at the fast food restaurant, we need to consider the rate at which customers exit the drive-through line and the average number of customers waiting in line.

Given:

Customers exit the drive-through line every 2.5 minutes.

On average, there are 3 customers waiting in line.

We can use Little's Law, which states that the average number of customers in a system is equal to the average arrival rate multiplied by the average time spent in the system.

Let's denote the average wait time as W.

According to Little's Law:

Average number of customers in the system = Average arrival rate × Average time spent in the system

The average number of customers in the system is 3 (the average number of customers waiting in line), and the average arrival rate is the rate at which customers exit the line, which is 1 customer every 2.5 minutes.

So we have:

3 = (1/2.5) × W

Simplifying the equation:

3 = 0.4 × W

To solve for W (the average wait time), we divide both sides of the equation by 0.4:

W = 3 / 0.4

W = 7.5

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Answer:

It is not equal

Step-by-step explanation:

\(3(-4)-2(11.25)=-15\\\\-12-22.5=-15\\\\-34.5=-15?\\\\-34.5\neq -15\)

Answer:

The 5th row has 24 chairs, and therefore not enough chairs for 100 people.

Step-by-step explanation:

The equation for this situation is , f(x) =  4x+4  The reason for this is, there is 4 chairs added to every row, so in order to make row number one make sense, you must subtract 4 to find the y-intercept which is also 4.

To find if the 5th row has enough for 100 people, you must plug 5 in for x

The 5th row has 24 chairs, and therefore not enough chairs for 100 people.

The required chairs in the 5th row there is 24 chairs and 5 rows are not enough to accommodate 100 people.

Arithmetic progression is the series of numbers that have common differences between adjacent values are common.

Here,
A given scenario is of arithmetic progression,
Let the first term be a = 8,
and the common difference between chairs is d = 4,
Now,
Let the number of rows be n,

Now,
The explicit arithmetic formula is given as,
Number of chairs = 8 + (n - 1)4
Now put n = 5
Number of chairs = 8 + (5 - 1) 4
                           = 8 + 16
                           = 24

So, in the 5th row, there will be 24 chairs.

Now,
For 100 people number of chairs would be 100
Apply the sum formula of arithmetic progression,

Where sum gives the total number of chairs for n rows,

Sum = n / 2 (a + l)
Sum = 5 / 2(8 + 24)
       = 5 / 2 (32)
       = 5 × 16
       = 80 chairs

Thus, the required chairs in the 5th row there is 24 chairs and 5 rows are not enough to accommodate 100 people.

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Answer:

x=6

Step-by-step explanation:

6 +2 is 8

2(6) - 9 = 3

8 times 3 is 24

Mark Brainliest :)

Answer: 5/12

Here is a really quick way to divide fractions. In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign:

1/6 x 2/5

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

The complete answer is below (simplified to the lowest form):

1x5 / 6x2 = 5/12

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

5/12 = 0.4167

Answer: 5/12

Step-by-step explanation: When solving this equation you are going to have to use a method called keep, change, flip. you would keep \(\frac{1}{6}\) , change the division symbol to multiplication (because multiplication is the opposite of division) and flip \(\frac{2}{5}\) to \(\frac{5}{2}\).

We are given the following expression:

Here we have the number "2" that multiplies the expression "x + 4", therefore, this expression is a product. It's not a product of three factors because we only have two factors

he repeating digit is

345.

here, 0.345345 is a

nonterminating and repeating

decimal number.

a nonterminating and repeating decimal is

a decimal with no finite number of digits that repeat. these keep going endlessly.

for example

- 0.333333...... which is 1/3, is also a number that repeats itself endlessly. another example is 0.6.

similarly, the minimum or

smallest group of digits that repeats itself here is 345.

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Answer:

345

Step-by-step explanation:

The smallest group of repeating digits in this nonterminating decimal is 3. This is because the decimal 0.345345 contains three repeating digits, "345".

The smallest group of repeating digits in this decimal is 3, 4, 5. This is because the digits 3, 4, and 5 repeat infinitely in the decimal after the decimal point, forming a repeating pattern.

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Answer:

the right answer is$2.66

To calculate the probabilities of the given events in the game of roulette, we need to consider the total number of slots and the number of favorable outcomes for each event.

A. The ball falls into the green slots 3 or more times:

There are 38 total slots, out of which 2 are green. To calculate the probability, we can use the binomial probability formula:

P(X ≥ 3) = 1 - P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial probability formula: P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

P(X < 3) = C(38, 0)(2/38)^0(36/38)^38 + C(38, 1)(2/38)^1(36/38)^37 + C(38, 2)(2/38)^2(36/38)^36

P(X < 3) ≈ 0.5634

Therefore, P(X ≥ 3) = 1 - 0.5634 = 0.4366

B. The ball does not fall into any green slots:

The probability of the ball not falling into any green slots is the complement of the event of the ball falling into the green slots. Therefore,

P(No green slots) = 1 - P(X ≥ 3) = 1 - 0.4366 = 0.5634

C. The ball falls into black slots 15 or more times:

There are 38 total slots, out of which 18 are black. To calculate the probability, we can use the binomial probability formula:

P(X ≥ 15) = 1 - P(X < 15)

P(X < 15) = P(X = 0) + P(X = 1) + ... + P(X = 14)

Using the binomial probability formula, we calculate P(X < 15) using similar calculations as in part A.

D. The ball falls into red slots 10 or fewer times:

There are 38 total slots, out of which 18 are red. To calculate the probability, we can use the binomial probability formula:

P(X ≤ 10) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Using the binomial probability formula, we calculate P(X ≤ 10) using similar calculations as in part A.

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Answer:

"sixty-three hundredths of a Kilometer"

Step-by-step explanation:

Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"

Answer:

$3.43

Step-by-step explanation:

Cost per pound means how much you are paying for one pound of the item. In this question it says a pound of cheese costs 3.43, therefore each pound of cheese costs 3.43. We can also use the equation 3.43x where x represents the amount of pounds you are purchasing. Just multiply the two and you will get a cost for any amount (pounds) of cheese.

The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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The average spending difference between the upper and lower spending cut-offs which define the middle 90% of the customers is $1.94.

Average spending at Neco's salad bar is $9.41

Standard deviation of the spending is $2.81

Distribution follows t-distribution,

The management is interested in the middle 90% of the customers (spending wise)Sample contains 41 customers

In order to find the cut-off values, we need to find the z-values for 5% and 95% of the data set.

Lower cut-off = Average spending - z × (Standard deviation / √n)

Upper cut-off = Average spending + z × (Standard deviation / √n)

Here,

n = 41,

Average spending = $9.41,

Standard deviation = $2.81

Let's find the value of z from the t-distribution.

t-distribution is a symmetric distribution.

Since we need to find the middle 90%, we need to find the area outside of 5% (on both sides of the distribution).

For a 90% confidence interval, the area outside of 5% on both sides of the t-distribution is \(\frac{0.05}{2}\) = 0.025.

As per the t-distribution table, for 40 degrees of freedom, the t-value for 0.025 is 2.021..

Lower cut-off = $9.41 - 2.021 × ()

Lower cut-off = $8.44

Upper cut-off = $9.41 + 2.021 × ($2.81/√41)

Upper cut-off = $10.38

Therefore, the difference between the upper and lower spending cut-offs which define the middle 90% of the customers is

$10.38 - $8.44 = $1.94.

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Answer:

215 5/8 ounces of juice

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line

m = \(\frac{-8-0}{2-0}\) = \(\frac{-8}{2}\) = - 4

The line crosses the y- axis at (0, 0) ⇒ c = 0 , then

y = - 4x + c , that is

y = - 4x → A

The equation of line passes through the points (0, 0) and (2, -8) will be;

⇒ y = - 4x

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 0) and (2, -8).

Now,

Since, The equation of line passes through the points (0, 0) and (2, -8).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 8 - 0) / (2 - 0)

m = - 8 / 2

m = - 4

Thus, The equation of line with slope - 4 is,

⇒ y - 0 = - 4 (x - 0)

⇒ y = - 4x

Therefore, The equation of line passes through the points  (0, 0) and

(2, -8) will be;

⇒ y = - 4x

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The best possible prediction of obtaining a three during the die roll is 1 time .

The probability of an event is the ratio of the required outcome to the total possible outcome.

Mathematically,

Probability = required outcome / Total possible outcome

Here ,

required outcome = Number of 3's on a die = 1

total possible outcome = number of sides on a die= 6

P(obtaining a 3 ) = 1/6

After 6 rolls ; (6 × 1/6) = 1

The best prediction for the number of times a 3 can be obtained after 6 rolls is 1

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Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

Given that, on a recent survey, students were asked if they like to fly and if they can drive.

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

From the table

Likes to fly

Row totals = Can drive + Cannot drive

0.32+Cannot drive =0.70

Cannot drive =0.38

Can drive:

Column totals=Likes to fly + Do not likes to fly

0.32 + Do not likes to fly=0.45

Do not likes to fly=0.13

Cannot drive:

Column totals=Likes to fly + Do not likes to fly

0.38 + Do not likes to fly=0.55

Do not likes to fly=0.55-0.38

= 0.17

Row totals = 0.13 + 0.17

= 30

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

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The equation of the tangent line to the curve y = x³ - 3x² + 5x, 0 < x <3 that has the least slope is y = 3.

The slope of the tangent line to the curve y = x³ - 3x² + 5x is given by the derivative of the function

y' = 3x² - 6x + 5

To find the tangent line with the least slope, we need to find the minimum value of y' in the interval 0 < x < 3.

The derivative y' is a quadratic function with a positive leading coefficient, which means it opens upwards and has a minimum value at its vertex. The x-coordinate of the vertex is given by

x = -b / 2a = -(-6) / 2(3) = 1

Substituting x = 1 into the original function gives us the y-coordinate of the vertex

y = 1³ - 3(1)² + 5(1) = 3

Therefore, the vertex of the parabola y' = 3x² - 6x + 5 is (1, 3), and the minimum value of y' is 3.

The tangent line with the least slope will be horizontal and will pass through the point (1, 3). The equation of a horizontal line passing through the point (1, 3) is simply

y = 3

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Answer:

(-7,4]

Step-by-step explanation:

I'm going to assume that you need this in interval form

The domain is just asking for all the possible x values

The x value that's furthest to the left is -7 and because it's an open circle we write ( instead of [

the furthest to the right the line goes is 4 and because the circle is closed it's written with ]

but it all together and get

(-7,4]

this is your proper answer

hii, how are you

Answer:

15

Step-by-step explanation: