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2 years ago

If f(x) = 1 – x, which value is equivalent to |f(i)|? options are:

2 answers:

5 0

We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ). Answer: <span>C. sqrt( 2 )</span>

sesenic [268]2 years ago

3 0

The answer is C, Hope this is helpful and you make a good grade

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A rocket leaves the surface of Earth at time t=0 and travels straight up from the surface. The height, in feet, of the rocket ab

erastovalidia [21]

Answer:

Remember that:

Speed = distance/time.

Then we can calculate the average speed in any segment,

Let's make a model where the average speed at t = t0 can be calculated as:

AS(t0) = (y(b) - y(a))/(b - a)

Where b is the next value of t0, and a is the previous value of t0. This is because t0 is the middle point in this segment.

Then:

if t0 = 100s

AS(100s) = (400ft - 0ft)/(200s - 0s) = 2ft/s

if t0 = 200s

AS(200s) = (1360ft - 50ft)/(300s - 100s) = 6.55 ft/s

if t0 = 300s

AS(300s) = (3200ft - 400ft)/(400s - 200s) = 14ft/s

if t0 = 400s

AS(400s) = (6250s - 1360s)/(500s - 300s) = 24.45 ft/s

So for the given options, t = 400s is the one where the velocity seems to be the biggest.

And this has a lot of sense, because while the distance between the values of time is constant (is always 100 seconds) we can see that the difference between consecutive values of y(t) is increasing.

Then we can conclude that the rocket is accelerating upwards, then as larger is the value of t, bigger will be the average velocity at that point.

3 0

2 years ago

Ronelle asked 100 students to choose their favorite subject from among mathematics, history, and art. She found that 22 students

gayaneshka [121]

Number of students that chose art = 100-(22+26) = 100- 48 = 52

so percentage of students who chose art = 52%

6 0

2 years ago

Read 2 more answers

Select all of the answers below that are equal to B = {John, Paul, George, Ringo, Pete, Stuart}

UNO [17]

Answer:

The correct option is 5) {Paul, Ringo, Pete, John, George, Stuart}.

Step-by-step explanation:

Consider the provided sets:

B = {John, Paul, George, Ringo, Pete, Stuart}

Two sets are equal if all the elements of Sets are same.

Set B has the elements: John, Paul, George, Ringo, Pete and Stuart

Now consider the provided options of sets.

From the provided options of set only option 4 has all the elements of set B but the order is different.

Thus, the correct option is 5) {Paul, Ringo, Pete, John, George, Stuart}.

8 0

2 years ago

The graph below represents the possible dimensions of a horse corral to be constructed behind a barn. The width of the corral is

alexira [117]

Answer:

I think its C

Step-by-step explanation:

6 0

2 years ago

Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t

jeka57 [31]

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18 (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

7 0

2 years ago