What is edge computing and how does it work Mcq?

Answer:

Since you dont know the unknown money per cone we make it an equation:

4c(unknown money per cone) = $10

Let's divide both sides by 4

C = 2.50, now we found out the cost of 1 cone.

Since there are 3 cones we multiply by 3,

2.50 x 3 = $7.50

Answer:

Step-by-step explanation:

4c=10

4c/4=10/4

c=2.5

3c=x

3(2.5)=x

7.5=x

Answer:

$2315.25

Step-by-step explanation:

Given data

Principal=  £2000

Time= 3 years

Rate= 5%

The compound interest expression is

A= P(1+r)^t

substitute

A= 2000(1+0.05)^3

A= 2000(1.05)^3

A= 2000*1.157625

A= 2315.25

Hence the Amount is $2315.25

Answer:

\(\displaystyle \sin\Big(\frac{x}{2}\Big) = \frac{7\sqrt{58} }{ 58 }\)

\(\displaystyle \cos\Big(\frac{x}{2}\Big)=-\frac{3 \sqrt{58}}{58}\)

\(\displaystyle \tan\Big(\frac{x}{2}\Big)=-\frac{7}{3}\)

Step-by-step explanation:

We are given that:

\(\displaystyle \sin(x)=-\frac{21}{29}\)

Where x is in QIII.

First, recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, the adjacent side is:

\(a=\sqrt{29^2-21^2}=20\)

So, with respect to x, the opposite side is 21, the adjacent side is 20, and the hypotenuse is 29.

Since x is in QIII, sine is negative, cosine is negative, and tangent is also negative.

And if x is in QIII, this means that:

\(180<x<270\)

So:

\(\displaystyle 90 < \frac{x}{2} < 135\)

Thus, x/2 will be in QII, where sine is positive, cosine is negative, and tangent is negative.

1)

Recall that:

\(\displaystyle \sin\Big(\frac{x}{2}\Big)=\pm\sqrt{\frac{1 - \cos(x)}{2}}\)

Since x/2 is in QII, this will be positive.

Using the above information, cos(x) is -20/29. Therefore:

\(\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{1 + 20/29}{2}\)

Simplify:

\(\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{49/29}{2}}=\sqrt{\frac{49}{58}}=\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}\)

2)

Likewise:

\(\displaystyle \cos \Big( \frac{x}{2} \Big) =\pm \sqrt{ \frac{1+\cos(x)}{2} }\)

Since x/2 is in QII, this will be negative.

Using the above information, cos(x) is -20/29. Therefore:

\(\displaystyle \cos \Big( \frac{x}{2} \Big) =-\sqrt{ \frac{1- 20/29}{2} }\)

Simplify:

\(\displaystyle \cos\Big(\frac{x}{2}\Big)=-\sqrt{\frac{9/29}{2}}=-\sqrt{\frac{9}{58}}=-\frac{3}{\sqrt{58}}=-\frac{3\sqrt{58}}{58}\)

3)

Finally:

\(\displaystyle \tan\Big(\frac{x}{2}\Big) = \frac{\sin(x/2)}{\cos(x/2)}\)

Therefore:

\(\displaystyle \tan\Big(\frac{x}{2}\Big)=\frac{7\sqrt{58}/58}{-3\sqrt{58}/58}=-\frac{7}{3}\)

The relationships between the numerator and denominator coefficients of a circuit and the values of resistance (R), inductance (L), and capacitance (C) depend on the specific circuit configuration and the transfer function associated with it.

In general, the numerator coefficients of the transfer function represent the output variables of the circuit, while the denominator coefficients represent the input variables. The coefficients are determined by the circuit elements (R, L, C) and their interconnections.

For example, in a simple RC circuit (resistor and capacitor), the transfer function can be written as a ratio of polynomials in the Laplace domain. The denominator coefficients correspond to the characteristic equation of the circuit and involve the resistance and capacitance values. The numerator coefficients may be related to the initial conditions or external inputs.

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If 90 pens with black ink were ordered, the total number of pens ordered would be 216.

To solve this problem, we need to find the ratio between the total number of pens and the number of pens with black ink. We can then use this ratio to determine the total number of pens when given the number of pens with black ink.

Let's calculate the ratio for the first set of data:

Ratio = (Pens with Black Ink) / (Total Pens) = 60 / 144

We can simplify this ratio by dividing both the numerator and denominator by their greatest common divisor, which is 12:

Ratio = 5 / 12

Now, we can use this ratio to find the total number of pens when 90 pens with black ink are ordered:

Total Pens = (Pens with Black Ink) / Ratio = 90 / (5 / 12)

Dividing 90 by 5/12 is the same as multiplying 90 by the reciprocal of 5/12:

Total Pens = 90 * (12 / 5) = 216

Therefore, if 90 pens with black ink were ordered, the total number of pens ordered would be 216.

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Answer:

The slope is 7 and the relationship is increasing

Step-by-step explanation:

y=mx+b is slope intercept form.

m=slope

7 is in place of m is y=7x+30

7 is positive so the relationship is increasing.

Answer:

I think it is the last option I am not really sure but I think it is the last option

Step-by-step explanation:

Its the last one , cause it got the ÷ sign .

And we know that equivalent sets contain same elements or symbols even if the number are different .

Answer:

If the price is increasing or decreasing

Step-by-step explanation:

The slope is a visual representation of the cost over time.

Answer:I think  It Shows How Much You Have

Step-by-step explanation:

The graph of exponential function, is described below.

What is an exponential function?

The mathematical formula f(x) = e^x stands for the exponential function. The term, unless specifically stated otherwise, generally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

The formula for an exponential growth function is y = ab^x, where a > 0 and b > 1. As can be seen in the example of f(x) = 2x below, the graph will ascend. The numbers get smaller as x gets closer to negative infinity, as you can see.

If b > 1 , then the graph's slope is positive and exponential growth is depicted. The value of y approaches infinity as x rises. The value of y approaches zero as x falls.

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9514 1404 393

Answer:

  (2x +y)(2x -y +6)

Step-by-step explanation:

The shaded area is the difference of the areas of the outer square and the inner square. In turn, those areas are the square of the edge dimension of the square. So, the shaded area is the difference of squares:

  area = (2x +3)² -(y -3)²

The difference of squares is a "special product" in that it has a factored form that is worth remembering.

  a² -b² = (a -b)(a +b)

Using this form for our area, we have ...

  area = ((2x +3) -(y -3))((2x +3) +(y -3))

  area = (2x -y +6)(2x +y)

Answer: \(36\pi\) inches

or 113.04 inches

Step-by-step explanation:

The area of a circle is indicated as \(\pi r^2\)

r=radius

Since the radius is given, plug in 6 for r.

\(\pi (6)^2\)=\(36\pi\)

For a decimal answer, find the product of 36 and \(\pi\), which results in 113.04 inches

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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Answer:

W = 8.5 units; L = 30.5 units

Step-by-step explanation:

The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively.  Here, L = 3W + 5.  Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W  =  2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units  

The expectation of X, when X is log-normal and log(X) follows a normal distribution with mean m and standard deviation k, is exp(m + k²/2).

Therefore the answer is exp(m + k²/2).

The log-normal distribution is a probability distribution of a random variable whose logarithm is normally distributed. In other words, if X is log-normal, then log(X) follows a normal distribution with mean m and standard deviation k.

The expectation of a random variable is the expected value of the variable, which is a measure of the central tendency of the distribution. For a continuous probability distribution, the expectation is also known as the population mean. The expected value of X can be calculated using the probability density function (PDF) of X.

The expectation of X is calculated as the integral of X × f(X) over the range of X. Where f(X) is the probability density function of X and X is the random variable.

For log-normal distribution, the expectation of X is calculated as follows:

E(X) = exp(m + k²/2)

where m is the mean of log(X) and k is the standard deviation of log(X).

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The given expression is

First, we solve the subtraction

Now we subtract 2 on each side to get x-2

Let's solve the difference

The discriminant value of a quadratic equation is b^2 - 4ac.

We can see here, in this quadratic equation, 25 is a, 40 is b and 16 is c (as in ax^2 + bx + c)

Applying it to the discriminant value = 40^2 - 4 x 25 x 16 = 1600 - 1600 = 0.
(And since the discriminant value is 0, the quadratic function has 1 repeated real root.)

The relationship of the data can be classified as a fairly strong positive correlation.

Correlation is a statistical measure used to measure the relationship that exists between two variables.

Positive correlation is when two variables move in the same direction. If one variable increases, the other variable also increases. When there is a positive correlation, the graph of the variables is upward sloping

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Answer:

0.31

Step-by-step explanation:

That probability is equal to RedTriangleArea/CircleArea.

The area of the triangle is 8*6/2=24.

The area of the circle is Pi*R²=3.14*5²=78.5.

P=24/78.5=0.30573...≈0.31 (rounded up to the nearest hundredth)

The probability that a point falls on the red triangle is P =  0.306

To find the probability we need to take the quotient between the area of the triangle and the area of the circle.

For the triangle we can see that the base is 6 units and the height is 8 units, thus the area is:

A = 6*8/2 = 24 square units.

For the circle, we can see that the radius is 5 units, then the area is:

a = 3.14*(5)² = 78.5

Taking the quotient we get:

P = 24/78.5

P = 0.306

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Answer:

A) \(x^{3} y^{4}\)

B) \(-\frac{5x^{2} }{y}\)

C) \(9m^{4}n^{4}\)

D)\(\frac{1}{x^{3} }\)

Step-by-step explanation:

Hope this helps.

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

$420

Step-by-step explanation:

number of people = 5 (4 friends + serena)

number of cars = 2

cost of parking = 7 for each car = 7 * number of cars = 7 * 2 = 14

let t be the cost of each ticket

cost of tickets = t for each person = t * 5

total cost = cost of parking + cost of tickets

= 14 + t * 5

= 2114

2114 = 14 + 5t

subtract 14 from both sides to isolate the variable and its coefficient

2100 = 5t

divide both sides by 5 to isolate t

t = 2100/5 = 420

Answer: 221 B.C

Step-by-step explanation:

Answer:

221 B.C.

Step-by-step explanation:

The state of Qin, based in the Sichuan plains, eventually won out in 221 B.C. under the leadership of the ruthless King Zheng. The victorious monarch gave himself the title Qin Shi Huangdi (259–210 B.C.), First Qin Emperor.Jun 3, 2019

Answer:

53°

Step-by-step explanation:

b+37°=90°(being sum of angles of right angle)

or,b=90°-37°

or,b=53°

The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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Answer:

3.6

Step-by-step explanation:

3 3/5 into decimal.

First, look at 3/5. 3 divided by 5 equals 0.6.

Next, add the 3 to the 0.6 to get: 3.06

There are 5,113,368 ways to choose 12 ice-creams from the friendly ice-cream store, given the conditions that we must buy at least 2 chocolate and 3 raspberry ice-creams.

To solve this problem, we can break it down into a few steps:
Step 1: Choose 2 chocolate ice-creams. There are 7 varieties of ice-cream, but we only need to worry about the chocolate ones for now. We must choose 2 chocolate ice-creams, and there are plenty of each variety, so this can be done in 1 way.
Step 2: Choose 3 raspberry ice-creams. We must choose 3 raspberry ice-creams, but we only have 7 left. This means we must choose all 7 raspberry ice-creams, and then choose 2 more ice-creams from the remaining 5 varieties. We can do this in $\binom{5+2}{2} = \binom{7}{2} = 21$ ways.
Step 3: Choose 7 more ice-creams. We have already chosen 2 chocolate and 3 raspberry ice-creams, which leaves us with 7 more to choose. We can choose these from any of the 7 varieties, and there are plenty of each variety, so this can be done in $7^{7}$ ways.
Step 4: Multiply the possibilities from each step. To get the total number of ways to choose 12 ice-creams satisfying the given conditions, we need to multiply the number of possibilities from each step. So the total number of ways is:
$1 \cdot 21 \cdot 7^{7} = \boxed{5,\!113,\!368}$
Therefore, there are 5,113,368 ways to choose 12 ice-creams from the friendly ice-cream store, given the conditions that we must buy at least 2 chocolate and 3 raspberry ice-creams.

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The volume of the given 3 - D figure is 156.36 cubic inches.

A volume is a collection of a three dimensional coordinate points enclosed by a two dimensional coordinate points.

Given is the 3 - D figure as shown in the image.

We can write the volume as -

V = πr²h/3 + lbh

V = (3.14 x 3 x 3 x 8)/3 + (9 x 9 x 1)

V = 156.36 cubic inches

Therefore, the volume of the given 3 - D figure is 156.36 cubic inches.

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Cindy's average tax rate is approximately 13.59%.

To calculate Cindy's average tax rate, we divide the total tax paid by her taxable income and then multiply by 100 to express it as a percentage.

Average tax rate = (Total tax paid / Taxable income) * 100

In this case, Cindy's taxable income is $65,500, and she has calculated that she will owe $8,902 in taxes.

Average tax rate = (8,902 / 65,500) * 100

Average tax rate ≈ 13.59%

Therefore, Cindy's average tax rate is approximately 13.59%.

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Cindy is projecting her earnings to be $90,000, a taxable income of $65,500, and has calculated that she will owe $8,902. Her average tax rate is 13.60%.

How to find the average tax rate?

The average tax rate is determined by dividing the total tax paid by the total income earned. The average tax rate is calculated by dividing the total amount of tax paid by the total taxable income.

Average Tax Rate = Total Tax Paid / Taxable Income Cindy's

The average tax rate can be found as follows:

Average tax rate = (Total tax paid ÷ Taxable income) × 100%

Average tax rate = ($8,902 ÷ $65,500) × 100%

Average tax rate = 0.135994 × 100% ≈ 13.60%

Therefore, Cindy's average tax rate is 13.60%.

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The length of vector (a + b) is solved using the parallelogram method to be 9.9

The formula for the resultant using the parallelogram method is

(a + b) = √(a² + b² + 2ab cos Ф)

Plotting the vectors shows that

a = 5.8

b = 4.1

Ф = 163 degrees

plugging in the values

(a + b) = √(5.8² + 4.1² - 2 * 5.8 * 4.1 * cos 163)

(a + b) = √(50.45 - 47.56 * cos 163)

(a + b) = √(98.01)

(a + b) = 9.9

The magnitude of (a + b) = 9.9

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