Question 1 0.5 pts A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept focused on the man. Place the steps below in the correct order that they should be performed in order to the determine the rate at which the searchlight is rotating when the man is 15 ft from the point on the path closest to the searchlight. 1. Step 1 Draw a picture 2. Step 2 Write down the numerical info 3. Step 3 Determine what you are asket 4. Step 4 Write an equation relating the 5. Step 5 Plug in your known informatic 6. Step 6 Differentiate both sides of the h at a speed of 4 ft/s. A searchlight is located on the ground 20 ft d on th [Choose ] ey the de Differentiate both sides of the equation with respect to t on the 1 Determine what you are asked to find Write down the numerical information that you know Write an equation relating the variables Draw a picture Plug in your known information to solve the problem Write down the numerical info v V Determine what you are asker

Answers

Answer 1
The differentiate both sides of the equation with respect to time

In order to determine the rate at which the searchlight is rotating when the man is 15 ft from the point on the path closest to the searchlight, the following steps should be performed in this order

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Related Questions


Analyze the situation(s).
Organize and record your work.
• Use precise mathematical language to justify and explain each
mathematical process.
Given the functions f (x)= |x| and g(x)=2\x+31 – 4 a. Determine the
changes on the graph of f (x)= |a| when replaced by g(x)=2x + 31 – 4.
b. Identify and analyze the key attributes of f (x) and g(x), including domain,
range, and intercept

Answers

Answer:

is there a graph so I can show you?

Answer:

Do you have a graph

Step-by-step explanation:

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9

Answers

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

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Select the real-world problem that could be solved using a proportion.

Select the real-world problem that could be solved using a proportion.

Answers

the answer is D

300/6 = x/10

once solved, it will be proportional

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Answers

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Jamal made 7 9 of his free throws and Brian made 5 8 of his free throws. Which player has the better record? Explain.

Answers

Answer: Jamal

Step-by-step explanation:

7/9 = 0.777...

5/8 = 0.625

Therefore, Jamal has a higher probability of making it in.

Answer:

Jamal

Step-by-step explanation:

7/9= 0.77

5/8= 0.62

Jamal has a higher probability of making it

the lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. a baby is premature if it is born three weeks early. what percent of babies are born prematurely?

Answers

8.08 percent of babies are born prematurely .

We have following information,

lengths of pregnancy of humans are Normally distributed.

mean of distribution ( μ ) = 268 days

standard deviations of distribution = 15 days

We shall find out the pecent of babies are born. prematurely.

Using the Normal distribution formula ,

Z = ( X - μ ) /σ

where X---> sample mean

μ --> poplution mean

putting the possble values of variables we get,

if a baby born three weaks early then he is considered as premature.

X = 21 , μ = 268 , r =

Z = ( 21-268)/ 15 = - 247/15 = - 16.4

Now, p-value corresponding to Z-value= -16.4 is

8.08..

thus for z= -16.4 , p-value will be 8.08 .. So, 8.08 percent of babies are born prematurely.

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-5k^(2) - 22k + 15 factor it

Answers

Answer:

-(5k - 3)(k + 5)

Step-by-step explanation:

-5k^(2) - 22k + 15 =

= -(5k² + 22k - 15)

= -(5k - 3)(k + 5)

The equation of a line is 2x + 3y = Select three

lines that are parallel to the given line.

Answers

Answer:

The three lines that are parallel to the Given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Step-by-step explanation:

The exact question is as follows :

Given - The equation of a line is 2x + 3y = 4.

To find - Select three lines that are parallel to the given line.

A) 2x + 3y = 2

B) 2x + 5y = 15

C) 9y = -6x + 15

D) 3y = -2x + 12

E) 3x - 2y = 15

Solution -

We know that,

If the slopes are the same and the y-intercepts are different, the lines are parallel.

Given that,

The given line is 2x + 3y = 4

⇒3y = -2x + 4

⇒y = -(2/3)x + (4/3)

So,

Slope = -(2/3)

y-intercept = (4/3)

Now,

A.)

2x + 3y = 2

⇒3y =  - 2x + 2

⇒y = -(2/3) + (2/3)

So,

Slope = -(2/3)

y-intercept = (2/3)

By Comparing with the given line's slope and y-intercept

We can see that

slope is same but y-intercept is different

So,

2x + 3y = 2 is parallel to the given line.

Now,

B.)

2x + 5y = 15

⇒5y =  - 2x + 15

⇒y = -(2/5) + (15/5)

So,

Slope = -(2/5)

y-intercept = 3

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

2x + 5y = 15 is not parallel to the given line.

C)

9y = -6x + 15

⇒y = -(6/9)x + (15/9)

     = -(2/3)x + (5/3)

⇒y =  -(2/3)x + (5/3)

So,

Slope = -(2/3)

y-intercept = 5/3

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

9y = -6x + 15 is parallel to the given line.

D)

3y = -2x + 12

⇒y = -(2/3) + (12/3)

So,

Slope = -(2/3)

y-intercept = 4

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

3y = -2x + 12 is parallel to the given line.

E)

3x - 2y = 15

⇒-2y = -3x + 15

⇒2y = 3x - 15

⇒y = (3/2) - (15/2)

So,

Slope = 3/2

y-intercept = -15/2

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

3x - 2y = 15 is not parallel to the given line.

∴ we get

The three lines that are parallel to the given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

The equation of a line is 2x + 3y = Select threelines that are parallel to the given line.

What is a credit score and why is it important to have a good credit score?

Answers

A credit score is a measure of the ability to repay a debt. Like any usual unit of measurement, the more the credit score, the better it is.

A credit score ranges from 300 to 900 points. It is usually placed on a scale that is categorized from bad to good. A good credit score increases the chances of an individual to avail of loans and credit services. The better the score, the better the services.

If the score lies between 350-549, it is considered a low score and need urgent action to improve. If the score is between 550-649, the approval probability is doubtful and turbulent. If the score is between 650-699, it is considered satisfactory. If the score is between 700-749, it is considered good. If it is between 750-900, it is an excellent credit score.

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What is the value of h?

What is the value of h?

Answers

112

180-42-26=112

Helpful?

42+26=68 so h is 68 degrees

\(\sf 50\times 10\times 7\)

Answers

Answer:

50 × 10 × 7 = 3,500

Step-by-step explanation:

pls brainliest plsssssss

What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?

Answers

Answer:

7,-10

Step-by-step explanation:

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 12 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

Answers

The original recipe had 0.9 cups of bananas.

Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.

Cups of strawberries = 1.75

No. of cups added of banana = 1/2

                                            = 0.5

No. of cups of banana smoothie have = 14.

The original recipe had = 1.4 - 0.5

                                   = 0.9

Hence, the original recipe had 0.9 cups of bananas.

Correct Question :

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

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krystal boards the ferris wheel at the same time as todd, but she boards at the 6 o'clock position instead. write an expression (in terms of t ) to represent krystal's height (in feet) above the ground.

Answers

Answer: T=60Ft

Step-by-step explanation: I double checked with a calculator.

which measure of validility is based on showing a substantial correlation between selection test scores and job performance scores

Answers

The measure of validity based on showing a substantial correlation between selection test scores and job performance scores is known as criterion-related validity.

Criterion-related validity is a type of validity that examines the relationship between scores on a selection test and an external criterion, which is typically job performance in this case. The purpose is to determine how well the test predicts or correlates with an individual's ability to perform successfully in a specific job or role.

To establish criterion-related validity, data is collected from individuals who have taken the selection test and their subsequent job performance is measured. By analyzing the correlation between test scores and job performance scores, researchers can determine the extent to which the test accurately predicts future job performance.

If there is a substantial positive correlation between selection test scores and job performance scores, it indicates that the test is valid and can effectively differentiate between individuals who are likely to perform well in the job and those who are not. This provides evidence that the test is a useful tool for selecting candidates who have the potential to succeed in the specific job or role.

In summary, criterion-related validity is demonstrated when there is a significant correlation between selection test scores and job performance scores, indicating the test's ability to predict future job success.

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Drag each pair of events to the correct location in the table.
Alan rides the bus to work each morning and is studying the relationship between the weather conditions and the bus's arrival time. For about six
months, he records the weather and promptness of the bus. His data is shown in the table.
Delayed
Sunny
Rainy
Foggy
Snowy
Total
68
20
60
5
153
On Time
15
9
4
8
36
83
29
64
13
189
Total

Answers

Each pair of events should be dragged to the correct location in the table as follows;

Dependent Events                                Independent Events

On time and rainy                                   delayed and sunny

Snowy and on time

Foggy and delayed

How to determine the probability for each of the events?

Based on the information provided in the table (see attachment), we can calculate the probability for each of the events as follows;

P(sunny) = 36/189

P(delayed) = 83/189

P(sunny and delayed) = 15/189

P(on time) = 153/189

P(rainy) = 29/189

P(on time and rainy) = 20/189

P(on time and snowy) = 5/189

P(snowy) = 153/189

P(foggy) = 29/189

P(delayed and foggy) = 4/189

P(delayed) × P(sunny) - P(sunny and delayed)

83/189 × 36/189 - 15/189 = 0.004 ≈ 0 (it is an independent event).

In conclusion, we can logically deduce that all of the other events would be classified as dependent events.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Drag each pair of events to the correct location in the table.Alan rides the bus to work each morning

Answer:

Dependent Events                                   Independent Events

-on time and rainy                                   -delayed and sunny

-snowy and on time

-foggy and delayed

hope this helped!

Drag each pair of events to the correct location in the table.Alan rides the bus to work each morning

find the mean of the set of data. round to the nearest 10th if necessary.
9.9, 10.8, 10.8, 6.2, 10.8, 7.2

Answers

Answer:

The mean of the data set is 9.3 rounded to the nearest tenth

Step-by-step explanation:

First you add them all together: 9.9 + 10.8 + 10.8 + 6.2 + 10.8 + 7.2 = 55.7

Then you divide it by how many numbers there are which is 6 in this situation:

55.7 ÷ 6 = 9.28333333333. but if we round it to the nearest tenth we get 9.3

So the answer is 9.3

Solve the equation by substitution y=x+1 and 2y=3x

Answers

Step-by-step explanation:

suby=x+1 in 2y=3x

2(x+1)=3x

2x+2=3x

2=3x-2x

2=x

Solve for the unknown angle measure θ.

A. θ=112.5
B. θ=120
C. θ=144
D. θ=150

Solve for the unknown angle measure .A. =112.5B. =120C. =144D. =150

Answers

Solution:-

In the given polygon-

>>Two of the angles are of 90⁰

The sum of all angle in n-sided polygon is given by -

\(\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}\)

Here number of sides,n = 8

So ,the sum of all angle = \(\sf (8-2)\times 180\)

\(\sf \implies 6 \times 180\)

\(\sf \implies 1080 \degree\)

>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of \(\theta\) only.

\(\implies \sf 1080- 2\times 90\)

\(\implies \sf 1080- 180\)

\(\implies \sf 900 \degree \)

Now, Sum of remaining 6 angles = 6\(\theta\)

Also, 6\(\theta\) = 900⁰

\(\theta = \dfrac{900}{6}\)

\(\theta = 150 \degree\)

Answer:

heya ^^

let's first see what the question says -

so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.

while , rest of the angles have been named \( \bold{\theta }\) and this thing clears that all the other angles are of equal measure.

now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.

therefore ,

\(\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}\)

therefore ,

option ( D ) θ=150 is correct.

hope helpful :D

What is the monthly payment What is the total payment? Find the finance charge,for a $8,000 4-year loan with an APR of 3%?

Answers

Answer:

8,960.66

Step-by-step explanation:

In general, the length of the billing cycle is at least 15 days and no longer than 90 days.

The finance charge for a billing cycle is 960.66.

The new opening balance in the following billing cycle is 8,960.66.

5(a-b) if a=-4 and b=-2

Answers

5(a-b) if a=-4 and b=-2

5(-4--2)

5(-4+2)

5(-2)

-10

Answer: -10

Answer:

The expression equals -10.

Step-by-step explanation:

First, solve the expression in the parentheses. -4 - -2 can be turned into -4 + 2, which is -2. Then, multiply by the coefficient right next to the parentheses. -2 times 5 is -10.


Know how to read a list of data and answer questions like how
many more did…, what percentage of did…., what percentage of
responses did….., what proportion of customers is …

Answers

Reading a list of data and answering questions related to comparisons, percentages, and proportions involves analyzing the given information and calculating relevant metrics based on the data.

To determine "how many more" or the difference between two values, you subtract one value from the other. For example, if you are comparing the sales of two products, you can subtract the sales of one product from the other to find the difference in sales.

To calculate "what percentage of" a specific value, you divide the specific value by the total and multiply it by 100. This will give you the percentage. For instance, if you want to find the percentage of customers who rated a product positively out of the total number of customers, you divide the number of positive ratings by the total number of customers and multiply it by 100.

To determine "what proportion of" a group falls into a specific category, you divide the number of individuals in that category by the total number of individuals in the group. This will give you the proportion. For example, if you want to find the proportion of customers who prefer a certain brand out of the total number of customers surveyed, you divide the number of customers preferring that brand by the total number of customers.

By applying these calculations to the given data, you can provide accurate answers to questions regarding comparisons, percentages, and proportions.

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Pigeonhole suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. is the following statement true or false:

Answers

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE

What is a sophomore?A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions. A sophomore in high school is equivalent to a tenth-grade or Class-10 student.In sports, a sophomore is a professional athlete in their second season.

As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.

So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.

Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.

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The complete question is given below:

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:

"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."

The coordinates of point D are (−14, 13) and the coordinates of the point F are (−8, 3). What are the coordinates of the point one half the distance from D to F? Enter your answer by filling in the boxes.

Answers

Answer:

So the answer is P = (-11, 8).

Step-by-step explanation:

The midpoint of two points, (x1, y1) and (x2, y2) is the point M found by the following formula:

M={(x1+x2)/2,(y1+y2)/2}

M={(-14+ -8)/2,(13+3)/2}

M=(-22/2,16/2)

M=(-11,8)

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a six?

I need a whole number btw.

Answers

Answer: Theoretically, 1 time


The slope of the line segment above is

True
False

The slope of the line segment above isTrueFalse

Answers

Answer:False

Step-by-step explanation:

Because when you go up and you subtract that numbers you don't get the number you need

Answer:

False

Step-by-step explanation:

then again I don't understand graphs and this one doesn't make sense at all cause first of all its in quadrant 2 so everything is positive... my apologies if I didn't help

<3 Enjoy,

    Dea

Solve the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to two decimal places.

−1=−2v+15

Answers

Answer:

v=8

Step-by-step explanation:

in order to isolate the variable from the numbers, you add 2v to both sides. Then, you add 1 to both sides because you want to leave the numbers on one side, and the variables on the other. You then get 2v=16 and you divide both sides by 2 to get v by itself.

-1=-2v+15

+2v. +2v

-1+2v=15

+1. +1

2v=16

2v÷2=16÷2

v=8

1 = 5x + 2; w = x^2 + 1
Can someone help me with this question?;(

Answers

From the first equation x=-1/5
So if x is -1/5 then substitute it into the second equation and you get W=11/9

Hope this helps x

Answer:

5x^3 + 5x+ 2x^2 + 2

Step-by-step explanation:

(5x+2)(x^2+1)

5x^3 + 5x+ 2x^2 + 2

a two-tail test is conducted with a sample size of 25. the value of the t statistic is -1.68. at the 5% level of significance, should the null hypothesis be rejected?

Answers

We cannot reject null hypothesis because -1.68 is not smaller than the critical value of -2.064

What is meant by Null Hypothesis?

Null Hypothesis: The null hypothesis assumes that any kind of difference between the chosen characteristics that you see in a set of data is due to chance. For example, if the expected earnings for the gambling game are truly equal to zero, then any difference between the average earnings in the data and zero is due to chance.

given that a two-tail test is conducted with a sample size of 25

and the value of the t statistic is -1.68. at the 5% level of significance

we know that the critical value is of -2.064

we cannot reject null hypothesis because -1.68 is not smaller than the critical value of -2.064

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Aaron gets paid $7.00 an hour at his job.how much money would he earn if he spends 2 hours a day working

Answers

Answer:

14 dollars in one day

35 dollars if he works five days a week

49 dollars if he works 7 days a week

Step-by-step explanation:

Answer:

$14.00

Step-by-step explanation:

$7.00 x 2= $14.00

:>

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one of the major predictions of the rothschild-stiglitz model is a positive correlation between risk and insurance coverage. this has never been observed in practice due to the confounding influence of moral hazard. Lenny wants to purchase a car costing $32,000. He will finance the car with an installment loan from the bank, but he would like to finance no more than $25,390. His down payment should be ___% of the total cost of the car. which purchased paint for an upcoming project. She purchased three different colors,which come in different sized containers. How much paint does she have altogether?ColorWhiteBlackYellowAmount0,4 L0.75 L0.3 L The 1948 and 2018 temperatures at 197 random locations across the globe were compared and the mean difference for the number of days above 90 degrees was found to be 2.9 days with a standard deviation of 17.2 days. The difference in days at each location was found by subtracting 1948 days above 90 degrees from 2018 days above 90 degrees.What is the lower limit of a 90% confidence interval for the average difference in number of days the temperature was above 90 degrees between 1948 and 2018?What is the upper limit of a 90% confidence interval for the average difference in number of days the temperature was above 90 degrees between 1948 and 2018?What is the margin of error for the 90% confidence interval?Does the 90% confidence interval provide evidence that number of 90 degree days increased globally comparing 1948 to 2018?Does the 99% confidence interval provide evidence that number of 90 degree days increased globally comparing 1948 to 2018?If the mean difference and standard deviation stays relatively constant would decreasing the degrees of freedom make it easier or harder to conclude that there are more days above 90 degrees in 2018 versus 1948 globally.If the mean difference and standard deviation stays relatively constant does lowering the confidence level make it easier or harder to conclude that there are more days above 90 degrees in 2018 versus 1948 globally. HELP ME ASAP!!! YOU WILL BE BRAILIEST!!!!!!! the number of minutes needed to complete a job, m, varies inversely with the number of workers, w. three workers can complete a job in 30 minutes. how many minutes would it take 6 workers to complete the job? Jennifer is a single mom of two who is working and taking college classes at night. The demands of work and her work projects are stressing Jennifer out, which results in a. job satisfaction. b. workplace role ambiguity. c. work-family conflict. d. downsizing. This phenomenon is important for sport managers to consider because it pertains to people who experience travel anxiety and dissonance brought about by unfamiliar people and environmentsA. culture shockB. leadershipC. xenophobiaD. ethnocentrism Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 9x3, [1, 2] Yes, the Mean Value Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because fis not differentiable in the open interval (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = - w f(b) f(a) 2. (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot Ent b - a be applied, enter NA.) C= One of the earliest social psychological explanations of aggression suggest that one I am prevented from having what I want, I will first be frustrated and then become aggressive. This theory is known as the What is the main focus of a marketing information system? If Good C increases in price by 20% a pound, and this causes the quantity demanded the cross-price elasticity of the two goods? Round your answer to one decimal place. for Good D to increase by 30%, what is What is the relationship between the two goods? O no relationship O substitutes O complements the purpose of a business impact analysis (bia) is to determine: a. the impact of a disaster b. the extent of damage in a disaster c. which business processes are the most critical d. which processes depend on it systems alejandra and her team are in the initial stages of a project and are having a team meeting. during the meeting, people volunteer for various roles and the team sets ground rules. they also decide that they will meet twice a week to discuss their progress and any setbacks faced. alejandra 's team is currently in the stage of the life of a task team. Two students record the distance they each traveled in 60 seconds in the data table shown. Compare the ISO/IEC 27001 outline with the NIST documents discussed in this chapter. Which areas, if any, are missing from the NIST documents? Identify the strengths and weaknesses of the NIST programs compared to the ISO standard. 5 2 fiths minus 1 2 fiths the car passes over the top of a vertical curve at a with a speed of 50 km/hr and then passes through the bottom of a dip at b. the radii of curvature of the road at a and b are both 70 m. find the speed of the car at b if the normal force between the road and the tires at b is twice that at a. the mass center of the car is 1.2 meter from the road. turbines positive displacement pumps and compressors require relief devices on ____ for overpressure protection T/F total surplus in a market does not change when the government imposes a tax on that market because the loss of consumer surplus and producer surplus is equal to the gain of government revenue.