Perform the following operation
and express the answer in
scientific notation.
4.3x1027.0×10²
[?]×10]

Answer:

161y - 45

Step-by-step explanation:

Step-by-step explanation:

23percent *A=46

23/100*A=46

A=46*100/23

A=200

answer Is 200

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Answer:

32

Step-by-step explanation:

\(5\cdot \:5+7\)

Answer:

x = 27/5

Step-by-step explanation:

5x - 1 = 26

Add 1 to each side

5x - 1 = 26

5x-1+1 = 26+1

5x = 27

Divide each side by 5

5x/5 = 27/5

x = 27/5

The symptom, which is both observable and measurable, represents only a fraction of the true problem, typically around (1)% of it, while the majority, (2)% of the problem, is neither typically observable nor clearly understood. We call this the (3) "iceberg principle" or the "tip of the iceberg" principle.

What is iceberg principle?

The iceberg principle suggests that what is visible on the surface, or the symptoms, is just a small portion of a larger, underlying issue. It implies that decision makers should not focus solely on the observable symptoms but instead delve deeper to understand the root causes and hidden complexities that lie beneath. By addressing the underlying causes, decision makers can effectively tackle the true problem rather than merely treating the symptoms.

1. Symptom versus the true problem: Symptoms are usually the noticeable indicators of an issue or challenge. They are observable, quantifiable, and often prompt immediate attention. However, they only represent a small fraction (around 1%) of the actual problem. Addressing symptoms alone may provide temporary relief but does not address the underlying issues causing those symptoms.

2. Unobservable and unclearly understood aspects: The majority (around 99%) of the problem lies beneath the surface and is not readily apparent. These aspects are often complex, interconnected, and not easily measured or understood. They may involve underlying causes, systemic issues, or broader contextual factors. Uncovering and comprehending these hidden elements is crucial for effective problem-solving and decision-making.

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The declaration states that the value of Arc EFC = 253°.

A measure is indeed a quantitative concept used to express how large a collection is. Each unique measure represents a different method for determining how large a collection is. It would initially appear that a set's cardinality is the only logical way to determine its number.

We can tell we are working with a circular that has 360 degrees because of the connection.

We can infer that we have it if we look at that file.

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

If we examine the figure again, we can see that the central angle of an intercepted arc is identical to the arc's measure.

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Therefore, Arc EFC = 253°

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The correct questions is:

Circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

The rate of sales is 2*(32/39)=64/39 per week.

To find the transition rate matrix Q, we need to consider the different possible inventory levels and the rates of transition between them. Let's label the states as 0, 1, 2, and 3, representing the number of computers in stock.

If there are 0 or 1 computers in stock, the arrival rate is 2 per week and the transition rate to the next state is 2. If there are 2 computers in stock, the arrival rate is still 2 per week, but the transition rate to the next state is 4 (since there are two opportunities for a customer to buy).

Finally, if there are 3 computers in stock, the arrival rate is 0 (since customers only buy when at least one computer is available), and the transition rate to the next state is 0 if there is no pending order, or 1/2 if there is.

The resulting transition rate matrix Q is:

[ -2   2   0   0 ]
[  2  -4   2   0 ]
[  0   2  -4 1/2 ]
[  0   0  1/2   0 ]

To find the stationary distribution for the inventory levels, we need to solve for the vector πQ=0, where π is the stationary distribution and Q is the transition rate matrix. Solving this system of equations, we get:

π0 = 16/39, π1 = 20/39, π2 = 4/13, π3 = 0

This means that the store is most likely to have 1 computer in stock, followed by 0, 2, and never 3.

To find the rate of sales, we need to consider the total arrival rate of customers, which is 2 per week. However, customers will only buy when at least 1 computer is available, which occurs with probability π1+π2+π3=20/39+4/13+0=32/39.

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(a) The transition rate matrix Q =
[ -2   2   0   0 ]
[  0  -1   0   1 ]
[  0   0  -1   1 ]
[  0   2   0  -2 ]
(b) The store will have 1 computer in stock about 14% of the time, 2 computers in stock about 29% of the time, and 3 computers in stock about 57% of the time.

(c) The store makes sales at a rate of 1 per week on average.

To find the transition rate matrix Q, we need to consider all the possible states of the system. In this case, the inventory level can be 0, 1, 2, or 3. Let's represent these states by 0, 1, 2, and 3, respectively. The transition rate from state i to state j is denoted by qij.

Starting with state 0, customers arrive at a rate of 2 per week and buy a computer if one is available. Therefore, the transition rate from 0 to 1 is q01 = 2. Since the store orders 2 more computers when it has only 1 left, the transition rate from 1 to 3 is q13 = 1/1 = 1 (because the order takes 1 week on average to arrive). Similarly, the transition rate from 2 to 3 is q23 = 1/1 = 1. Once the order arrives, the inventory level goes up by 2, so the transition rate from 3 to 1 is q31 = 2. Finally, the transition rates for staying in the same state are q00 = 0, q11 = 0, q22 = 0, and q33 = 0.

Putting all these transition rates in a matrix, we get

Q =
[ -2   2   0   0 ]
[  0  -1   0   1 ]
[  0   0  -1   1 ]
[  0   2   0  -2 ]

To find the stationary distribution for the inventory levels, we need to solve the equation Qπ = 0, where π is the vector of stationary probabilities. Since the sum of probabilities in any state must be 1, we also have the condition π0 + π1 + π2 + π3 = 1.

Solving the system of equations, we get

π = [ 1/7   2/7   2/7   2/7 ]

This means that the store will have 1 computer in stock about 14% of the time, 2 computers in stock about 29% of the time, and 3 computers in stock about 57% of the time.

Finally, to find the rate at which the store makes sales, we need to consider the transitions from states 1, 2, and 3 (since no sales can happen in state 0). The total rate of leaving these states is λ = q13π3 + q23π3 + q31π1 = 1/7 + 2/7 + 4/7 = 1. Therefore, the store makes sales at a rate of 1 per week on average.
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Answer:

C. 14%

Step-by-step explanation:

We know that Dallas's wage increased from $9 to $10.25.

Let's say the percent increase is x. Then we write the expression:

9 + x * 9 = 10.25

Divide by 9 from both sides:

1 + x = 10.25 / 9 ≈ 1.14

Subtract 1 from both sides:

x = 1.14 - 1 = 0.14

Since x is a percent, that means x = k/100, where k is an integer. So we have:

x = k/100 = 0.14

Multiply both sides by 100:

k = 0.14 * 100 = 14%

The answer is thus C.

~ an aesthetics lover

Answer:

Step-by-step explanation:

\(Original\:price = \$9\\New\:price =\$10.25\\\\Increase = 10.25-9\\Increase = 1.25\\\\Increase \: \% = \frac{Increase}{Original \:price} \:\times 100\\\\= \frac{1.25}{9} \times 100\\\\= \frac{125}{9}\\ \\= 13.888\\= 14\%\)

Answer: The correct answers are B, D, and F.

Step-by-step explanation: B is correct because 8 x 5 is 40, and 40-5 is less than or equal to 36. C is correct because if you plug in 41/8, the answer is 36. Anything higher than 41/8 is greater than 36.  F is correct because 5 is a solution and 5 is less than 41/8. Therefore, the correct answers are B, D, and F.

Answer:

Step-by-step explanation:

The car dealer needs to sell the remaining 4 cars for $12,100 each to obtain an average profit of 18%.

Let's break down the problem step by step:

1. The car dealer purchases 20 new automobiles for $8000 each, so the total cost of the 20 cars is 20 * $8000 = $160,000.

2. The car dealer sells 16 of the cars at a profit of 20%. To calculate the selling price of these cars, we need to add the 20% profit to the cost price. The profit per car is 20% of $8000, which is (20/100) * $8000 = $1600. So, the selling price of each of the 16 cars is $8000 (cost price) + $1600 (profit) = $9600.

3. The car dealer wants to obtain an average profit of 18% for all 20 cars. We have already sold 16 cars, and we need to calculate the selling price of the remaining 4 cars to achieve the desired average profit.

4. Let's assume the selling price of the remaining 4 cars is x dollars.

5. To calculate the total selling price of all 20 cars, we sum up the selling prices of the 16 cars and the remaining 4 cars. So, the equation is:

(16 * $9600) + (4 * x) = $160,000 + (20% * $160,000)

(16 * $9600) + (4 * x) = $160,000 + (0.20 * $160,000)

 153,600 + 4x = 160,000 + 32,000

4x = 48,400

x = 48,400 / 4

 x = $12,100

Therefore, the car dealer needs to sell the remaining 4 cars for $12,100 each to obtain an average profit of 18%.

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Answer:

Yes

Step-by-step explanation:

When determining the size of a fact table, estimating the number of possible values for each dimension associated with the fact table is equivalent to: determining the number of possible values for each foreign key in the fact table.

The measures, metrics, or facts of a business process are contained in a fact table in data warehousing. In a star or snowflake schema, it sits in the middle, surrounded by dimension tables.

When several fact tables are employed, they are organized according to a fact constellation schema. The two types of columns that make up a fact table are typically those that hold facts and those that serve as a foreign key to dimension tables.

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The required measure of the angle x is 72° in the triangle.

Given that,
The value of x in the triangle at 36°, x°, and x° is to be determined.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
For the triangle sum of the internal angle is 180°,
36 + x + x = 180
2x = 144
x = 72°

Thus, the required measure of the angle x is 72° in the triangle.  

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The answer to this question is  the test statistic is a. option a. 100.75.

To arrive at this answer, we need to use the chi-square distribution to test the null hypothesis that the population variance (σ2) is equal to 20. The test statistic for this hypothesis test is given by:

χ2 = (n - 1) * s²  / σ2

where n is the sample size, s is the sample standard deviation, and σ is the population standard deviation (which is assumed to be equal to the hypothesized value of 20).

Substituting the given values, we get:

χ2 = (41 - 1) * 5² / 20
χ2 = 40 * 25 / 20
χ2 = 50

Therefore, the test statistic is 50.

However, to determine the p-value (i.e. the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true), we need to consult a chi-square distribution table with (n - 1) degrees of freedom. For this problem, the degrees of freedom is 40 (i.e. 41 - 1).

Using the chi-square distribution table, we find that the p-value for a test statistic of 50 with 40 degrees of freedom is less than 0.001. This means that the probability of obtaining a sample with a variance as extreme or more extreme than 20 (assuming the null hypothesis is true) is less than 0.001.

Therefore, we can reject the null hypothesis at a significance level of 0.001 or lower. This leads us to the conclusion that the population variance is unlikely to be 20, based on the given sample of 41 observations with a sample standard deviation of 5.

finding the p-value using a chi-square distribution table, and making a conclusion based on the significance level. The main answer is option a. 100.75, which corresponds to the test statistic calculated using the formula χ2 = (n - 1) * s²  / σ2.

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Answer:

11

Step-by-step explanation:

First, you set up the proportion for the garden, 40/55 (width/length). Then, right beside it, you set up the proportion for the blueprint garden, 8/x (x because this is the answer we are trying to find). You can then do a scale factor to find the answer and the scale factor is 5 ( because 40 divided by 5 is 8) so you can divide 55 by 5 to get 11!! I hope this helps bro!! :D

Answer:

The answer is 60 just divide 80/48.

Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)

Now we calculate the partial derivatives as follows,

∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...

and,

∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0

Therefore,

∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j

The curl of F is given by:

(cos(xy) - xy sin(xy)) i - sin(z)j.

To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:

r(t) = n* i + t}j + tcos atk, 15t52.

The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t

= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt

= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1

= sin(a) sin(n) - (a/2) cos(2a)

The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).

The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).

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Answer:

y = -x + 2, B is the answer

Step-by-step explanation:

If slope is -1, the equation is y = -x+b

Plug in (3,-1) into that equation.

-1 = -3 + b

b = 2

Answer:

Total time: 67 minutes

Step-by-step explanation:

35m + 4(8m) = 67m

Answer:

READING TIME :- 35 MINUTES

GAME TIME. :- 32 MINUTES

HOPE IT HELPS U!!!!

Answer:

  a) 625; 625; right triangle

  b) 205; 256; obtuse triangle

Step-by-step explanation:

The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.

7² +24² = 49 +576 = 625

25² = 625

The sum of the squares of the short sides is the square of the long side, so this is a right triangle.

__

6² +13² = 36 +169 = 205

16² = 256

The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an obtuse triangle (as shown).

x is higher than 1 ( one not included ) and less or equal than 4 (4 included).

x = [1 ,4 )

To compare round trip times to the number of hops from a local host to the three hosts, www.tsinghua.edu.cn, www.usyd.edu.au and www.harvard.edu, we can measure the time it takes for the packet of data to make the round trip from the local host to each of the three remote hosts at different times of a day (e.g., morning, afternoon and evening). By doing this, we can observe how the round trip time and the number of hops are correlated at different times of a day. We can then compare the correlation with our expectations.

We can expect that the round trip time should increase with the number of hops and that the round trip time should be shorter in the morning when internet traffic is relatively light compared to the afternoon or evening when internet traffic is heavier.

By analyzing the results of the round trip time tests, we can determine if these expectations are correct. If the round trip time does increase with the number of hops, and if the round trip time is shorter in the morning compared to the afternoon or evening, then our expectations are correct.

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Answer: a.) Mortgages can be repaid over a long period of time.

Instead of paying the money back all at once, it's beneficial to spread out the payments over 15 years or 30 years so that the monthly payments are small and manageable. Yes overall you'll pay more money than what you borrowed, but interest is involved with nearly every type of loan.

Answer: A

Step-by-step explanation:

Answer:

b=-9

Step-by-step explanation:

b/-1=9

times both sides by -1

b=-9

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.