y=Ax+Cx^B is the general solution of the first- order homogeneous DEQ: (x-y) dx - 4x dy = 0. Determine A and B.

Answers

Answer 1

The exact value of A in the general solution is 0 and B is 0

How to determine the value of A and B in the general solution

From the question, we have the following parameters that can be used in our computation:

\(y = Ax + Cx^B\)

The differential equation is given as

dx - 4xdy = 0

Divide through the equation by dx

So, we have

1 - 4xdy/dx = 0

This gives

dy/dx = 1/(4x)

When \(y = Ax + Cx^B\) is differentiated, we have

\(\frac{dy}{dx} = A + BCx^{B-1}\)

So, we have

\(A + BCx^{B-1} = \frac{1}{4x}\)

Rewrite as

\(A + BCx^{B-1} = \frac{1}{4}x^{-1}\)

By comparing both sides of the equation, we have

A = 0

B - 1 = -1

When solved for A and B, we have

A = 0 and B = 0

Hence, the value of A in the general solution is 0 and B is 0

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Related Questions

BRAINLEST + THANKS! (college algebra/ pre-cal)

BRAINLEST + THANKS! (college algebra/ pre-cal)

Answers

The answer is 9m^6/n^8

find the future value of $750 deposited each month at 3.25% for 15 years

Answers

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Three pieces of salmon weigh 11, 200 grams. The weights of the three pieces are in the ratio 8:6:11
. How much does the first piece of salmon weigh?

Three pieces of salmon weigh 11, 200 grams. The weights of the three pieces are in the ratio 8:6:11.

Answers

I believe the answer is 37.33

x =


A )10

B) 8

C) 9




Help me please this note is just so it will stop saying this is to short

x =A )10B) 8C) 9Help me please this note is just so it will stop saying this is to short

Answers

A) is the following answer ,

Answer:

8

Step-by-step explanation:

it just makes sense, 5=10, therefore 4=8.

I need this TONIGHT!!! Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 5 1/2% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.

Answers

Answer:

\(A\approx\$880.68\)

Step-by-step explanation:

So, we know that Jolene bought an initial $750.

We also know that the purchase is increasing at an average rate of 5 1/2 %or 5.5%. In other words, this is being compounded.

So, we can use the compound interest formula, which is:

\(A=P(1+\frac{r}{n})^{nt}\)

Where A is the total amount, P is the principal value, r is the rate and n is the number of times compounded per year, and t is the amount of years.

So, substitute 750 for P. 5 1/2% is the same as 5.5% or 0.055 (you move the decimal two places to the left and remove the percent symbol) so substitute this for r. Since it's increasing yearly, n is 1. So, our formula is:

\(A=750(1+0.055)^t\)

Add:

\(A=750(1.055)^t\)

Since the stock was bought 3 years ago, the value now is t=3. So, substitute 3 for t and evaluate:

\(A=750(1.055)^3\)

Evaluate. Use a calculator:

\(A\approx\$880.68\)

And we're done!

Formula: A = P(1 + r/n)^t

We have these variables:

P = 750

r/n = 0.055

t = 3

Substitute and simplify:

A = 750(1 + 0.055)^3

A = 750(1.055)^3

A = 880.68

Best of Luck!

(9x+4)-42+83=1
Im confused

Answers

Answer:

x=44/9 or 4 8/9

Step-by-step explanation:

The time to make beds at a motel should fall into an agreed-on range of times. A sample of four maids was selected, and the time needed to make a bed was observed on three different occasions:
Maid Sample 1 (sec) Sample 2 (sec) Sample 3 (sec)
Ann 120 90 150
Linda 130 110 140
Marie 200 180 175
Michael 165 155 140
a. Determine the upper and lower control limits for an X-bar chart and R-chart with a sample size of four.
b. After the control chart was established a sample of four observations has the following times in seconds: 180, 198, 193, and 218. Is corrective action needed?

Answers

The upper and lower control limits for an X-bar chart and R-chart is as follows:
UCL for X-bar chart = 171.54, LCL for X-bar chart = 120.12
UCL for R-chart = 79.87, LCL for R-chart = 0

Therefore, corrective action is needed.

The upper and lower control limits for an X-bar chart and R-chart can be determined using the following formulas:

Upper Control Limit (UCL) for X-bar chart = X-bar + A2 * R-bar
Lower Control Limit (LCL) for X-bar chart = X-bar - A2 * R-bar

Upper Control Limit (UCL) for R-chart = D4 * R-bar
Lower Control Limit (LCL) for R-chart = D3 * R-bar

Where X-bar is the average of the sample means, R-bar is the average of the sample ranges, A2 is a constant based on the sample size, and D3 and D4 are constants based on the sample size.

First, we need to calculate the average of the sample means (X-bar) and the average of the sample ranges (R-bar):

X-bar = (120 + 90 + 150 + 130 + 110 + 140 + 200 + 180 + 175 + 165 + 155 + 140) / 12 = 145.83

R-bar = ((150 - 90) + (140 - 110) + (200 - 175) + (165 - 140)) / 4 = 35

Next, we need to find the values of A2, D3, and D4 for a sample size of four:

A2 = 0.729
D3 = 0
D4 = 2.282

Now we can calculate the upper and lower control limits for the X-bar chart and R-chart:

UCL for X-bar chart = 145.83 + (0.729 * 35) = 171.54
LCL for X-bar chart = 145.83 - (0.729 * 35) = 120.12

UCL for R-chart = 2.282 * 35 = 79.87
LCL for R-chart = 0 * 35 = 0

The average of these observations is 197.25, which is above the upper control limit for the X-bar chart (171.54). Therefore, corrective action is needed.

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does the table show an additive or multiplicative relationship\(x | y\\\5 | 10\\7 | 14\\9 | 18\\\)

Answers

The given table shows multiplicative relationship.

What is additive or multiplicative relationship?

Adding the SAME number to any x-value results in the matching y-value, according to additive relationships.

In a multiplicative relationship, the y-value is obtained by multiplying any x-value by the SAME number.

From the table each number in the y - column is the value double of the x - value. That means y - column contains the double value of x - column.

10 = 2(5),  14 = 2(7),  18 = 2(9).

So,  y = 2x.

There is a multiplicative relationship between column x and y.

Therefore the table given shows multiplicative relationship.

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How is the pattern changing to get from one term to the next ? -48, -44, -40, -36, -32, . . .

Answers

The given pattern is

\(-48,-44,-40,-36,-32\)

We will find the difference between the consecutive terms

\(\begin{gathered} -44-(-48)=-44+48=4 \\ -40-(-44)=-40+44=4 \\ -36-(-40)=-36+40=4 \\ -32-(-36)=-32+36=4 \end{gathered}\)

Then the pattern is increasing by 4 units

The pattern is changing by adding 4

During the audit of Wyndham Limited, the auditor used a variety of sampling methods based on areas selected for the audit test. Some methods were statistical and others non-statistical. Due to the extent of the audit, a decision was made to use the work of experts and include work done by internal auditors to supplement audit evidence gathered. An extract of the Statement of Financial Position for year ended 2021 December 31 is as follows: i. Property, plant and equipment $54 000 000 This figure includes buildings valued at $35 000 000; motor vehicles $5 000 000, plant and machinery $9 000 000 and investments $5 000 000 ii. Non-current liabilities amounted to $49 500 000 and current liabilities $2 350 000

C. Explain the following financial statement assertions with regards to account balances reported for buildings and non-current liabilities in the extract above: i. Presentation ii. Valuation (4 marks)

D. Provide TWO (2) reasons that investments would be selected for review by the auditor

Answers

The assertion of presentation confirms that the components of the financial statements are shown appropriately.

The management is also responsible for ensuring that the statement is adequately classified, described, and disclosed. Valuation: Valuation assertion affirms that the amounts of assets, liabilities, and equity have been appropriately recorded and stated at the correct amount. Buildings have been valued at $35,000,000 while the non-current liabilities amounted to $49,500,000. The auditor should evaluate if the valuation is accurate and if any impairment has been recognized.

The auditor must ensure that the investment in question exists and that the company owns it. The investment must be in the name of Wyndham Limited and not under another person or company. Ownership and valuation: The auditor should verify that the company has control over the investment and that it's valued correctly. If the investment is accounted for using fair value, the auditor must ensure that the method used is appropriate and consistent with the company's accounting policy. The auditor should also verify that the company's control over the investment justifies the accounting treatment used. The valuation of the investment should be at the correct amount and the disclosures must comply with the relevant accounting standard or IFRS.

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HELP!


You roll two dice numbered 1 to 6. What is the probability of rolling a 2 on both die? Put your answer in fraction
form

Answers

Answer:

2/12 :) or even 1/6 if you simplify

Step-by-step explanation:

Answer:

2/12

Step-by-step explanation:

1 dice = 1/6 × 2 because we have to die but this is different from normal multiplication you do the probability of finding 2 in both which is 1+1 over the total number which is 6+6. Therefore your answer would be 2/12

The mean of the following frequency distribution is 25.2. Find the missing frequency x.

Class
0 - 10
10 - 20
20 – 30
30 – 40
40 - 50

Frequency
8
x
10
11
9​

Answers

Answer:

Solution:-

Frequency Distribution     Frequency     Mid values     F*M

0 - 10                                    8                     5                40

10 - 20                                  x                    15               15x

20 - 30                                 10                   25               250

30 - 40                                 11                   35               385

40 - 50                                  9                    45               405

_____________________________________________________

                                         Σf = 38+x                      Σfm = 1080+15x

______________________________________________________

Given Mean = 25.2

Mean = Σfm/Σf

25.2 = 1080+15x/38+x

25.2 × (38+x) = 1080+15x

957.6+25.2x = 1080+15x

25.2x - 15x = 1080 - 957.6

10.2x = 122.4

x = 122.4/10.2

x = 12

Missing frequency = 12  Answer

Hope it helps.

If you have any query, feel free to ask.

The mean of the following frequency distribution is 25.2. Find the missing frequency x.Class0 - 10 10

Mrs. Harris has a piece of lumber that is 11 5/8 inches wide she plans to split the width of the lumber into three equal pieces how wide will each piece be

Answers

The size of width of each lumber piece will be 3.875 inches.

What is Algebra?

Logic is the arrangement of all those concepts, whereas algebra is the study of abstract concepts.

Making something a little less complicated while both making it easier to attain or understand is the concept of clarity.

Mrs. Harris intends to divide the breadth of a piece of timber that is 11 ⁵/₈ inches broad into three equal pieces.

Convert the mixed fraction number to a decimal number. Then we have

11 ⁵/₈ = 11 + ⁵/₈

11 ⁵/₈ = 11.625 inches

The width of each lumber piece is given as,

⇒ 11.625 / 3

⇒ 3.875 inches

The size of width of each lumber piece will be 3.875 inches.

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Describe how to plot the coordinate point: (8, 2)

Answers

Answer:

start at 0,0 and move in the x axis 8 points. next, move up 2 points and there is 8,2

Answer:

you will look at a graph go over 8 and up 2 and plot it there

PLEASE SOMEONE HELP ASAP!!! -5(p+3/5)=-4 what does the p=?

Answers

Answer:

p=1/5

Step-by-step explanation:

Distribute -5 through the parenthese.

Move constant to the righ-hand side and change the sign.

Calculate the sum -5p=-1

Divide both sides by -5

Answer:

1/5

Step-by-step explanation:

Expand the equation

-5p -3= -4

Collect like terms

-5p = -4 +3

-5p = -1

Divide both sides by -5

p = 1/5

NEED THIS ASAP 50 POINTS UWU
Which property of equality should you apply to keep the equation 22 . a = 242 in balance when solving?
The division property of equality
The subtraction property of equality
The reflexive property
The substitution property of equality

Answers

A property of equality that you should apply to keep the equation 22 . a = 242 in balance when solving include the following: A. The division property of equality.

What is the subtraction property of equality?

In Mathematics and Geometry, the subtraction property of equality states that the two (2) sides of an algebraic expression or equation would still remain equal even when the same number has been subtracted from both sides of an equality.

Based on the information provided above, we can logically deduce the following equation:

22 . a = 242

22 × a = 242

By applying the division property of equality, we have the following:

a = 242/22

a = 11.

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Roy made a pizza that is 12 inches in diameter. He knows he can eat about 84.8 in, at what angle should Roy cut the pizza in radians? Round your answer to the tenths place.

Answers

Answer:

Cutting angle in radian θ = 3π / 2

Step-by-step explanation:

Given:

Diameter of pizza = 12 inch

He can eat = 84.8 inch²

Find:

Cutting angle in radian

Computation:

Radius of pizza = Diameter of pizza / 2

Radius of pizza = 12 / 2

Radius of pizza = 6 inch

Area of sector = [θ/360][πr²]

Area of sector = [θ/360][(π)(6)²]

84.8 = [θ/360][(π)(36)]

θ = 270°

θ = 270[π/180]

θ = 27π / 18

Cutting angle in radian θ = 3π / 2

Please do the one you are able to do anything is helpful!

Please do the one you are able to do anything is helpful!

Answers

Answer:

9. train a = 8.33 hours

train b = 5 hours

time of coincidence = 3.33 hours

Step-by-step explanation:

I'm not sure about this but I think it's correct.

Please do the one you are able to do anything is helpful!

How many degrees of freedom does the chi-square test statistic for a goodness of fit have when there are 10 categories?.

Answers

Degree of freedom for chi-square test for 10 categories will be 9.

What is chi- square test?

A test that evaluates how well a model matches real observed data is that the chi-square (χ²) statistic. A chi-square statistic can only be calculated with data that's random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a large enough sample.

The Formula for Chi-Square Is

χ(c)=²∑(Oₐ-Eₐ)₂/Eₐ²

where:

c=Degrees of freedom

O=Observed value(s)

E=Expected value(s)

Main Body:

Degree of freedom = total categories -1

so no. of categories= 10

Degree of freedom = 10 - 1

Hence degree of freedom = 9

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP

Answers

9514 1404 393

Answer:

  B.  (2, 1)

Step-by-step explanation:

As a first guess you might say the right angle will be at the point that has the x-coordinate of A (2) and the y-coordinate of B (1).

You notice that the point (2, 1) is on the list of answer choices, so that is a good choice.

The coordinates of C could be (2, 1).

__

Or, you can plot the points and see what forms a right triangle.

HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP

Please help! .. 7p5 and 12c4

Please help! .. 7p5 and 12c4

Answers

\(_7P_{5}\) using the permutation is 2520 \(_{12} C_{4}\) using combination term is 495

What are Permutation and Combination?

Permutation is the arrangement of objects in a definite order while Combination is the arrangement of objects where the order in which the objects are selected does not matter.

How to determine this

Using the permutation term

\(_nP_{r}\) = n!/(n-r)!

Where n = 7

r = 5

\(_7P_{5}\) = 7!/(7-5)!

\(_7P_{5}\) = 7 * 6 * 5 * 4 * 3 * 2 * 1/ 2 * 1

\(_7P_{5}\) = 5040/2

\(_7P_{5}\) = 2520

Using the combination term

\(_{n} C_{k}\) = n!/k!(n-k)!

Where n = 12

k = 4

\(_{12} C_{4}\) = 12!/4!(12-4)!

\(_{12} C_{4}\) = 12!/4!(8!)

\(_{12} C_{4}\) = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 *4 *3 * 2 * 1/4 * 3 *2 * 1 * 8 *7 * 6 * 5 * 4 * 3 *2 * 1

\(_{12} C_{4}\) = 479001600/24 * 40320

\(_{12} C_{4}\) = 479001600/967680

\(_{12} C_{4}\) = 495

Therefore, \(_7P_{5}\) and \(_{12} C_{4}\) are 2520 and 495 respectively

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Pleaseee help me solve this question??

Pleaseee help me solve this question??

Answers

Answer:

A. 0$

Step-by-step explanation:

Assuming that the "Office visit" is the emergency room visit, if you look at Plan 2, and in the column "Office Visit cost", you can see that the cost will be 0$.

which of the following expressions is equivalent to -10?
a.-7 3
b.-3 - 7
c.3 - 7
d.7 - 3

Answers

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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A hot-air balloon is tied to the ground with two ropes, as shown below. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 50° with the ground. Determine the height of the balloon above the ground, to the nearest foot. For this open-ended question, do you want to type your answer or upload the picture of your work on the paper? *

A hot-air balloon is tied to the ground with two ropes, as shown below. One rope is directly under the

Answers

Answer:

84 ft

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp side / hypotenuse

sin 50 = y / 110  where y is the height above the ground

110 sin 50 = y

84.26488 = y

To the nearest foot

84 ft

Answer:

84 feet

Step-by-step explanation:

Since you are given an angle and the length of hypotenuse, you can use the trigonometric function sine.  

sinθ = opposite length / hypotenuse length

sin (50) = x / 110

sin(50) * 110 = x

~84 feet

Which of these is an optional/voluntary deduction?
Ostate income tax
O healthcare insurance
O Medicare tax
O Social Security tax

Answers

Your answer is healthcare insurance

HELPPPPP PLEASEEEE!!!!
Which system of inequalities represents region Z?

HELPPPPP PLEASEEEE!!!!Which system of inequalities represents region Z?

Answers

Answer:

Hey there!

The two lines in this graph are: y=-1/5x+2, and y=3x-2

Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.

Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.

Thus, for area z, we have y<-1/5x+2, and y≥3x-2

Hope this helps :)

please help explain it step by step​

please help explain it step by step

Answers

Answer:

452 m

Step-by-step explanation:

please help explain it step by step

Craig has a job waiting tables where he earns $3.65 per hour plus tips. Craig earned $79.65 in tips during his shift yesterday.

If x represents the number of hours Craig worked yesterday, which of the following equations can be used to find the amount of money Craig earned yesterday?

Answers

subtract  

It’s probably like 79.65-3.65 and boom that’s the answer

Convert standard form to slope

X-3y=6

Answers

Answer:

y = 1/3x -2

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

x - 3y =6

Subtract x from each side

x-3y-x = -x+6

-3y = -x+6

Divide by -3

-3y/-3 = -x/-3 +6/-3

y = 1/3x -2

x-3y=6
-3y=-6+x
Y=-2+1/3x
Thus, the answer is y=1/3x-2

A car accelerates from rest to 25 miles per hour in 3.0 seconds. What was the car's
acceleration?

Answers

Answer:

The car's acceleration was 3.73 metre per second square = 3.73m/s²

Step-by-step explanation:

The car accelerated from rest.

initial velocity (u) = 0m/s

final velocity (v) = 25miles/hr = 11.2m/s

time (t) = 3s

a = ?

v = u+at

a = (v-u)/t

a = (11.2 - 0) / 3

a = 11.2/3

a = 3.73

a = 3.73m/s²

a

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Upon investigation of the transactions which has transpired in 2020, you have discovered the following information: (A) On June 30, the company issued on a basket price of P1,550,000, 15,000 shares of preference shares and 10,000 shares of ordinary shares. The ordinary shares were selling at that time at P42 per share while the preference shares were selling at P60 per share. The issuance was recorded by the company in its books as: Cash 1,550,000 Preference shares 750,000 Ordinary shares 250,000 Retained earnings 550,000 (B) On August 1, the company reissued 20,000 shares of its treasury shares ordinary shares in lieu of an equipment with a fair market value of P625,000. The company originally reacquired 50,000 treasury shares as one bloc in 2019 at P35 per share. The company recorded the reissuance in the books as: Equipment 625,000 Treasury shares 625,000 (C) The company retired 20,000 shares of its ordinary shares from the treasury on September 1. The company recorded the retirement as: Ordinary shares 500,000 Treasury shares 500,000 All ordinary shares, with the exception of those issued on June 30 of the current year were issued during the companys initial public offering. (D) Subscribed preference shares and subscription receivable is in relation to the subscription of Porter Inc. on January 1, 2020 of the companys 40,000 shares of preferred shares at P55 per share. Porter defaulted on its remaining balance on October 1, 2020, the company then offered the delinquent shares on a public auction on December 31, 2020, where Annie Corporation won as the highest bidder since the company is willing to pay the amount due for the least number of shares. The amount due included auction expenses amounting to P60,000, which the company had paid on December 30, 2020 and charged to operating expense. Interest related to the default amounted to P40,000. Settlement was done on December 31, 2020. All the foregoing transactions were recorded in the subsequent period. (E) On December 31, the company issued share rights to ordinary shareholders. Four share rights plus P40 shall entitle the holder to acquire ordinary shares. Share rights are exercisable up to 2 years from date of issuance. This transaction has not been recorded yet per books as of the balance sheet date "the whole [indian] party now des[ended the hill and rode towards us captain lewis now told his men that he believed these were the minnetarees who from their infamous character would in all probability attempt to rob them as it was growing late captain lewis proposed [to the indians] that they should encamp together near the river finding them very fond of the pipe, captain lewis smoke with them until a late hour " --lewis what reputation did the minnetarees have, according to lewis? they were likely to rob the members of the expedition. they were extremely violent. they were friendly and interested in trade. Hello people ~A dioecious flowering plant prevents botha) Autogamy and geitonogamyb) Autogamy and xenogamyc) Geitonogamy and xenogamy d) Cleistogamy and xenogamy Jojo is very particular about his sandwiches. Each sandwich must contain exactly 2 slices of bread (q1) and three slices of cheese (q2). He wants to make as many sandwiches as possible but will never deviate from these proportions of bread and cheese. What is his utility function? U(q1,q2)= If bread costs $0.20 per slice and cheese costs $0.10 per slice, and his income is $7, how much bread and cheese does he purchase? q1= q2= 14. (2 points) Jon is indifferent between canned soup (q1) and fresh soup (q2). He simply wants to consume the most soup servings possible. Canned soup sells for $1 per serving and fresh soup sells for $2 per serving. What is the utility function representing his preferences for these two kinds of soup? What is the Marginal Rate of Substitution? U(q1,q2)= MRS = Brain pop clasification The fifteenth amendment opened up voting rights for:_____.a. some people, but not for white women. b. white men experiencing poverty. c. african american men. d. former confederates. After the civil war, the poll tax, literacy test, and grandfather clause were used to ensure that. . . All cells come from pre existing cells. How do we know this? You have several network devices that support SNMP and RMON. What type of network troubleshooting tool should you use to take advantage of those capabilities? - a port scanner - a network monitor- a ping scanner - a TDR describe kevin explaining the difference between cake and pie. (freak the mighty) a roadway technology designed to alert inattentive drivers is