Jasmine has taken an online boating safety course and is now completing her end-of-course exam. as she answers each question, the progress bar at the bottom of the screen shows what portion of the test she has finished. she has just completed question 16, and the progress bar shows she is 20% complete. how many total questions are on the test? use a table, diagram, or equation to justify your answer.

80 questions

Step-by-step explanation:

To solve this, we need to know how percentage works. Percentage is used to express the ratio or proportion from one value to a second value used as a reference or maximun.

When expressing a percentage the maximun used for the percentage is 100. This is why 100% is used as a ideal ratio. See the following.

100% = 100/100

100% = 1

100/100 would mean the maximun value posible in the mayority of cases. So when expresing a number in percentage, 20% por example, is would mean:

20% = 20/100

20% = 1/5

Which give us a fifth of the total. Applying this to the problem, answering 16 questions would be equal to answering one fifth of the examen. To know how much questions there is on the total examen we need to know the following.

100% = 5 * 20%

So, changing values:

100% = 5 * 16 questions

100% = 80 questions

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula