What is the length of the indicated arc ?



A.
(
7π
⁄
2
)
B.
14π
C.
3.5π
D.
7π
E.
None of the above

Answer:

$5.46

Step-by-step explanation:

4 / 3.64 = 6 / x

Answer:

9 dollars per pound of salmon

Answer:

\(white \: socks \: number = 6 \\ brown \: socks \: number = 5 \\ \frac{w \: s \: n}{b \: s \: n} = \frac{6}{5} = 1.2 \)

The ratio of white socks to brown socks is 6:5.

Given that,

Based on the above information, the calculation is as follows:

= 6:5

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Using Theorem 9.11, we can determine the convergence or divergence of the p-series given by:

1 + 1/(8√2) + 1/(8√3) + 1/(8√4) + ...

The general form of this series is:

Σ (1/(8√n))

Comparing this to a p-series, we can see that the exponent p in the denominator is 1/2, as it involves a square root:

Σ (1/n^p) with p = 1/2

According to Theorem 9.11, a p-series converges if p > 1 and diverges if p ≤ 1. In this case, p = 1/2, which is less than or equal to 1. Therefore, this p-series diverges.

Theorem 9.11 states that the p-series 1/n^p converges if p > 1 and diverges if p ≤ 1.

In this case, we have a series of the form 1/√n^p, where n = 1, 2, 3, ... Since the denominator is growing exponentially with n, the terms are decreasing to zero.

To apply the theorem, we need to compare p to 1. Since the series has a square root in the denominator, we can rewrite it as 1/(n^(p/2)√n). Thus, p/2 is the exponent of the series without the square root.

If p/2 > 1, then p > 2, and the series converges by Theorem 9.11. If p/2 ≤ 1, then p ≤ 2, and the series diverges by Theorem 9.11.

So, in this case, p/2 = 1/8, which is less than 1. Thus, p ≤ 2 and the series diverges by Theorem 9.11. Therefore, the answer is "diverges".

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The reference angle for -400 is 5.729 degrees.

We have,

To find the reference angle for -400, we need to find the acute angle formed by the terminal side of the angle and the x-axis.

We start by drawing the angle in the standard position, which means placing the initial side of the angle along the positive x-axis and rotating the terminal side in the clockwise direction.

Since -400 is in the fourth quadrant, the terminal side of the angle would lie 400 units clockwise from the negative x-axis.

To find the reference angle, we need to find the acute angle formed by the terminal side and the x-axis.

This is simply the angle formed by the terminal side and a perpendicular line dropped from the endpoint of the terminal side to the x-axis.

In this case, the perpendicular line would drop 40 units to the x-axis, forming a right triangle with legs of 40 and 400 units.

Using the Pythagorean theorem, we can find the hypotenuse of this right triangle, which is the distance from the origin to the endpoint of the terminal side:

h = √(40² + 400²) = 404

The sine of the reference angle is the ratio of the opposite leg to the hypotenuse:

sin Ф = opposite/hypotenuse = 40/404 = 0.099

Taking the inverse sine of this value, we can find the reference angle:

Ф = \(Sin^{-1}\)(0.099) = 5.729 degrees

Therefore,

The reference angle for -400 is 5.729 degrees.

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Reports that describe how many customers shared positive comments about the gardening magazine on social media in the past year. Reports that compare past weather patterns to the number of people asking gardening questions to their social media. Reports that examine how a recent 50%-off sale affected the number of subscription purchases. Reports that predict the success of sales leads to secure future subscribers.

In order to find relevant information, support inferences, and help decision-making, data analysis is the process of analyzing, cleaning, manipulating, and modeling data. A data analyst examines data to find significant consumer insights and potential uses for the information. They also advise the company's management and other stakeholders of this information. Although it is recommended that data analysts have a basic understanding of statistics and mathematics, many of their tasks may be completed without it. However, data analysts often need to be familiar with statistics, linear algebra, and calculus.

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Step-by-step explanation:

Total people surveyed =    246

  total female =  122    

      divorced = 15 + 13   BUT the 13 was already counted in 'female'

  soooo  

        female OR divorced =  122 + 15 out of 246 = 137/246 = .5569

=========================================================

Explanation:

If we tried the x coordinate of choice A, then,

y = -3x-7

y = -3*2-7

y = -6-7

y = -13

This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.

Let's try x = -2

y = -3x-7

y = -3*(-2)-7

y = 6-7

y = -1

This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.

If we tried x = 1, then,

y = -3x-7

y = -3*1-7

y = -3-7

y = -10

Which shows that (1,-10) is a point on this line, which rules out choice D.

The visual summary is shown below as a graph. Only point C is on the red line.

Answer:

It's the one you clicked!

Step-by-step explanation:

It is 22.5 or 22 \(\frac{1}{2}\)

because

5/2 simplified is 2.5

2.5 x 9 = 22.5

hope this helps :)

24 is the proportionality constant.

Given that,

There is a proportional relationship between time in hour and time in day.

To find : What is the Constant of proportionality ?

We have the following information regarding the proportionality between time in hours and time in days:

a) The proportionality constant is 24.

The definition of a proportionate relationship

In a proportional relationship, the output variable is a function where the input variable is multiplied by a proportionality constant, such as:

where k is the proportionality constant.

a) Because there are 24 hours in a day, the proportionality constant is 24.

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Answer:

The answer is A.9

Step-by-step explanation:

If there are three dogs in each kennel, you need to divide the number of dogs by three since the kennels divide three of them each. Twenty seven can be divided by three nine times. Therefore there are nine kennels.

Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.

Since the median of the data is 46cm

the third quartile is 48cm,

this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.

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Answer:

5x - 2y = 16

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 ) = (2, - 3 ) and (x₂, y₂ ) = (4, 2 )

m = \(\frac{2-(-3)}{4-2}\) = \(\frac{2+3}{2}\) = \(\frac{5}{2}\) , then

y = \(\frac{5}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, 2 )

2 = \(\frac{5}{2}\) (4) + c = 10 + c ( subtract 10 from both sides )

- 8 = c

y = \(\frac{5}{2}\) x - 8 ← equation in slope- intercept form

multiply through by 2 to clear the fraction

2y = 5x - 16 ( subtract 5x from both sides )

- 5x + 2y = - 16 ( multiply through by - 1 )

5x - 2y = 16 ← equation in standard form

Answer:

33% decrease

Step-by-step explanation:

40/60 = 66.66% and then what ever is left over is how much it decreased by

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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The probability of being served immediately in a three-server model is 0.2143 or approximately 21.43%.

Consider that the arrivals follow a Poisson distribution and the service times follow an exponential distribution, the probability of being served immediately in a three-server model can be calculated using the Erlang-C formula.

The Erlang-C formula is given by:

\(P0 = 1/[1 + (A1/A)^1 + (A2/(A*A1))^2/2 + (A3/(A*A1*A2))^3/3! + ... + (Ak/(A*A1*...*Ak-1))^k/k! + ...]\)

A = total traffic intensity for the system

The traffic intensity for each server is given by:

\(Ak = (A^k/k!) * P0\)

Where k = number of servers.

LEt A = λ/3μ

where 3 is the number of servers.

Using these formulas,

\(P0 = 1/[1 + ((λ/3μ)/1)^1 + ((λ/3μ)/(λ/3μ))^2/2 + ((λ/3μ)/(λ/3μ)^2)^3/3!]\)

Simplifying the expression, we get:

\(P0 = 1/[1 + 1/3 + (1/9)(1/3)^2 + (1/27)(1/3)^3]\)

P0 = 0.2143

Therefore, the probability of being served immediately in a three-server model is 0.2143

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Answer:

sorry i coldent find the anser

Step-by-step explanation:

ello

+v+

Answer:

The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.

Step-by-step explanation:

Answer:

work shown and pictured

Based on the ratio of zinc to copper, and the grams of copper in the jar, the grams of zinc will be 156 grams of Zinc

The ratio of zinc to copper is 4 to 19 which means that for every 4 grams of Zinc, the chemical will have 19 grams of copper.

The means that if there is 741 grams of copper, the grams of Zinc will be:

= (Grams of Copper x Ratio of Zinc) / Ratio of copper

Solving gives:

= (741 x 4) / 19

= 2,964 / 19

= 156 grams of Zinc

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bottom was cut off a bit its 4=b

Answer: to scale the base units so that they can represent anything from a very large numeric value

Step-by-step explanation:

to scale the base units so that they can represent anything from a very large numeric value

Answer:

3/2

Step-by-step explanation:

The multiplicative inverse also known as reciprocal implies it is something that is the opposite.

The given value is 2/3, so the opposite would just mean you flip the numerator and denominator. Thus, the reciprocal of 2/3 is 3/2.

Answer:

3/2

Step-by-step explanation:

The multiplicative inverse is also known as a reciprocal.

The reciprocal of 2/3 is 3/2.

1 ÷ 2/3 = 1 × 3/2

Reciprocals are always used when you divide by a fraction.

The required answer for the best unit for measurements is Solid B.

Given that, solid A is measured in inches, Solid B is measured in centimeters and Solid C is measured in feet.

To determine which solids use the best for measurements, consider the units that are most appropriate and convenient for the given situation.

Solid A is measured in inches(") which is commonly used in the United States. If the moving process happening within the United States and the other measurements in the surrounding environment are in inches, then only Solid A would be the most suitable choice.

Solid B is measured in centimeter (cm) which is metric unit in many others countries around the world . If the moving process happening within the countries where the standard unit is centimeter and the other measurements in the surrounding environment are in centimeter , then only Solid B would be the most suitable choice.

Solid C is measured in feet (') which is commonly used in the United States. If the moving process happening within the United States and the other measurements in the surrounding environment are in feet, then only Solid C would be the most suitable choice.

Hence, the required answer for the best unit for measurements is Solid B.

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Dodie's triangular plot with 160 rose plants will have 12 rows.

To solve it,

Assigning a variable to the number of rows we want to find. Assume that this variable is "n".

Since there are 5 more plants in each row than in the previous row,

We can use an arithmetic sequence to represent the number of plants in each row.

Specifically, the first row will have 1 plant, and the second row will have

1 + 5 = 6 plants, the third row will have 1 + 5 + 5 = 11 plants, and so on.

The formula for an arithmetic sequence is,

an = a1 + (n-1)d

Where an is the nth term of the sequence,

a1 is the first term,

And d is a common difference.

Using this formula, we can write an expression for the total number of plants in all n rows,

160 = n/2 (2 + (n-1)5)

Simplifying this equation, we get,

160 = 2.5n² + 2.5n - 5

Now we can solve for n using the quadratic formula,

n = (-2.5 ± √(2.5²+ 4(2.5)(165)))/(2(2.5))

After simplifying this equation, we get two solutions,

n = -13.2 and n = 12.2.

Since we can't have a negative number of rows, we'll take the positive solution, n = 12.2.

Now, since we can't have a fraction of a row, we'll round down to the nearest integer.

Therefore, Dodie's plot will have 12 rows.

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It would take 211 payments of $350 to pay off a present value of $15,000 with an interest rate of 2% using an ordinary annuity.

We can use the formula for the present value of an ordinary annuity to solve for n:

PV = PMT x ((1 - (1 + i)^-n) / i)

Substituting the given values, we get:

15000 = 350 x ((1 - (1 + 0.02)^-n) / 0.02)

Multiplying both sides by 0.02 and dividing by 350, we get:

0.8571 = (1 - (1 + 0.02)^-n)

Taking the natural logarithm of both sides, we get:

ln(0.8571) = ln(1 - (1 + 0.02)^-n)

Solving for n, we get:

n = -ln(1 - 0.8571) / ln(1 + 0.02) ≈ 210.86

Rounding up to the nearest whole number, we get:

n = 211

Therefore, it would take 211 payments of $350 to pay off a present value of $15,000 with an interest rate of 2% using an ordinary annuity.

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Answer: 3√6-6/6 + √2=a-b√6

Step-by-step explanation: multiply radicals in the denominator by conjugate to get (a+b)(a-b)=a^2-B^2 pattern.

Answer: 454.5

Step-by-step explanation:

-2, 20, -200, 2,000 ==> 4 numbers

Mean: (-2+20+(-200)+2000)/4=

(18-200+2000)/4=

(-182+2000)/4

1818/4=454.5

The to your question is that we can use the normal distribution to estimate the probability that the product will last between 16.536 and 8.054 years.


In this case, we want to calculate the probability for x = 16.536 and x = 8.054. The mean (μ) is 14.242 years, and the standard deviation (σ) is 3.978 years.

Using the formula, we can calculate the z-scores for both values:
For x = 16.536: z = (16.536 - 14.242) / 3.978
For x = 8.054: z = (8.054 - 14.242) / 3.978

Once we have the z-scores, we can look up the corresponding probabilities in the standard normal distribution table or use a calculator. Subtracting the probability for the lower z-score from the probability for the higher z-score will give us the probability that the product will last between 16.536 and 8.054 years.

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