Can someone please help me with #1,2,3,4 and 5 using a motion detector?
The motion detector measures how far away you are from the device over 5 seconds.
For each graph,come up with a description for what the walker (s) should do (or describe what they did after you see it).
Answers
Problem 5
Recall that speed = distance/time. A change in distance over a change in time also represents the slope of the line.
The slope of any given piece represents the walker's speed. Negative slopes mean that the walker is coming closer to the device, while positive slopes mean the walker is moving away.
For instance, a slope of m = -2 means the walker is moving at 2 mph and is moving toward the motion detector. This is just an example of course.
The graph given here starts off with a negative sloped portion. It goes downhill as we move to the right because time always progresses in this fashion (i.e. time is always increasing). So this portion represents the walker moving closer to the device at some unknown speed. We can't calculate the speed because your teacher didn't give you any numbers. So you can make up your own or just give the general sense of what's going on.
For the middle portion, the flat horizontal line means that slope = rise/run = 0/B = 0. Where B is some positive number to indicate a run. The slope being 0 tells us that the speed is 0, which in turn means the person isn't moving at all during this stretch of time.
After being motionless for some unknown amount of time, the walker then moves away from the motion detector. This is because this third portion has a positive slope now.
To recap, we have this summary of motion (or lack thereof)
The person moves closer to the motion detectorThe person is motionlessThe person moves away from the motion detectorEach section has an unknown duration and unknown speed (other than the speed of 0 mentioned). The sections are numbered to indicate the proper order in time in which they happened.
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Problem 6
It's the same idea as earlier. The person starts off walking away from the motion detector. Then at some point, they turn around and walk back toward the detector until they reach the device itself. How do we know the person reaches the device? Because of the x intercept. This is when y = 0 to indicate the distance to the device is 0 units. The x intercept is where the graph crosses the x axis.
Answer:
The person moves further away from the detectorThe person turns around and moves closer to the detector until reaching the deviceOnce again, we have no idea about speeds or time durations. This time a speed of 0 isn't involved, so the person is never motionless (maybe perhaps for a brief split instant, but that's about it).
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Problem 7
There are no increasing sections this time. The person never walks away from the motion device at any moment. This is due to the lack of positive sloped sections.
S/he starts at some distance away and walks closer to the device for the first section of time. Then they pause and stay motionless for a while similar to what was discussed in problem 5. Then the person resumes motion to walk to the motion detector until they reach the device. We know they reach it because of the x intercept.
Answer:
The person starts at some distance away and walks closer to the device.The person pauses for some duration.The person resumes motion toward the motion detector.============================================================
Problem 8
This time we're dealing with curved sections, but the idea is pretty much the same. Any time we go uphill, the slope is positive (so to speak) and it represents moments the person is walking away. Any time we go downhill, the person is walking toward the item. Always move to the right because time is always increasing in this fashion.
The smooth curve motion indicates that the person's speed is changing at a more smooth rate, as compared to the sharp pointed jarring changes in speed compared to the other graphs. This is likely a more realistic graph for someone's motion. Someone is very unlikely to change speeds very quickly in such a short instant in time.
Answer:
The person walks away from the deviceThey walk toward the deviceThey change their mind to move awayThey change their mind yet again to come back to the motion detector============================================================
Problem 9
We have four separate disconnected sections that are all flat. This indicates that we have four people at different (unknown) distances away from the motion detector. None of these people are moving.
The unfortunate thing is that this graph is a bit misleading. This graph has the first section end rather than go on forever. The first person (or any other person for that matter) doesn't stop being detected and they aren't magically teleported away. However, the graph is set up like this to avoid failing the vertical line test.
Related Questions
WILL GIVE BRAINLIEST ‼️ The graph represents the piecewise function:
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Answer:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Step-by-step explanation:
You can find the first function if you know the general form of a line:
[tex]y = mx + b[/tex]
where [tex]m[/tex] is the slope and [tex]b[/tex] the intercept point with the [tex]y[/tex]-axis.
So in the first case the slope is 1 because the next formula
[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2-0}{-1+3} = 1[/tex]
And you can find the interception point if extend the line, then in our case is 3.
So the function is:
[tex]f(x) = x + 5[/tex]
In the other case is constant function that's mean that the function has the next form
[tex]f(x) = k[/tex]
Where [tex]k[/tex] is a constant.
So you only have to observe what is the value for each point in the interval, in this occasion is 5.
So the final answer is:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Matrix fractions 1/2+2/6. I don't understand the steps in this.
Answers
Answer: 5/6
Step-by-step explanation:
You have to multiply the denominator and numerator by 3 to get the same denominato. Then you ONLY add the numerator. 3/6 + 2/6 = 5/6.
The vector makes angles
[tex]Sin^- {}^{1} (\frac{ \sqrt{2146} }{65} ) \: and \: sin {}^{ - 1} ( \frac{12}{13} )[/tex]
with the X and Y axes.Find the Sin Ratio of the angle that is makes with Z-axis.
Answers
Answer:
To know the answer refer to attachment.
Note: There are 3 attachments
Scroll side to see the 3rd attachment
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
3
Evaluate the expression 2 + 2 x 5 - 3
Answers
Answer:
9
Step-by-step explanation:
Please Excuse My Dear Aunt Sally
Answer:
= 10x − 1
Step-by-step explanation:
Let's simplify.
2 + 2x(5) − 3
= 2+10x + −3
Combine Like Terms:
= 2 + 10x + −3
= (10x) + (2 + −3)
= 10x + −1
= 10x − 1
anna is 5ft tall and has a shadow that is 3ft long. she is standing next to the stop sign if the sign’s shadow is 4.5 ft long how tall is the stop sign
Answers
Answer:
6.5 feet
Step-by-step explanation:
Anna's shadow is 2 feet shorter than her. So, therefore, the stop sign is 2 feet taller that its shadow.
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answers
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
The store owner tells the girls that half of the DVDS are out on loan. How many DVDS does the store own in total?
Answers
3
Step-by-step explanation:
i need help to
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y=−2x−5
y=2x−2
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Answer:
This doesn't make since.
Step-by-step explanation:
Write the equation of the function graphed below:
a. f(x) = 2x−−√3 –4
b. f(x) = 2x−−√3 + 4
c. f(x) =x−−√3 + 4
d. f(x) =x−−√3 – 4
Answers
Answer:
I have a couple questions before I answer, what do the 2 dashes represent and are the 4s also under the square root?
Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 55 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time.
a. What percent of finish times was higher than 72 minutes? (Give your answers rounded to two decimal places)
b. What percent of finish times was between 52 and 70 minutes? (Give your answers rounded to two decimal places)
c. What is the 40th percentile finish time? (Round your answer to nearest tenth)
d. What is the 95th percentile finish time? (Round your answer to nearest tenth)
Answers
Using the normal distribution, it is found that:
a) 4.46% of finish times was higher than 72 minutes.
b) 55.11% of finish times was between 52 and 70 minutes.
c) The 40th percentile of finish times is 52.5 minutes.
d) The 95th percentile of finish times is 71.45 minutes.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 55 minutes, hence [tex]\mu = 55[/tex].The standard deviation is of 10 minutes, hence [tex]\sigma = 10[/tex]Item a:
The proportion is 1 subtracted by the p-value of Z when X = 72, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 55}{10}[/tex]
[tex]Z = 1.7[/tex]
[tex]Z = 1.7[/tex] has a p-value of 0.9554
1 - 0.9554 = 0.0446
0.0446 x 100% = 4.46%
4.46% of finish times was higher than 72 minutes.
Item b:
Th proportion is the p-value of Z when X = 70 subtracted by the p-value of Z when X = 52, hence:
X = 70:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 55}{10}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 52:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{52 - 55}{10}[/tex]
[tex]Z = -0.3[/tex]
[tex]Z = -0.3[/tex] has a p-value of 0.3821.
0.9332 - 0.3821 = 0.5511
0.5511 x 100% = 55.11%
55.11% of finish times was between 52 and 70 minutes.
Item c:
The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.253 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = -0.253(10)[/tex]
[tex]X = 52.5[/tex]
The 40th percentile of finish times is 52.5 minutes.
Item d:
The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = 1.645(10)[/tex]
[tex]X = 71.45[/tex]
The 95th percentile of finish times is 71.45 minutes.
A similar problem is given at https://brainly.com/question/24663213
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=38(1.108)^x
what is the % increase
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Help please im struggling fighting demons rn
Answers
A father and his young toddler are walking along the sidewalk. For every 3 steps
the father takes, the son takes 5 steps just to keep up. What is the ratio of
the number of steps the father takes to the number of steps the son takes? Add
labels to the columns of the table and place the ratio into the first row of
data. Add equivalent ratios to build a ratio table.
Answers
Answer:
Ratio 5:3
Step-by-step explanation:
5:3 equivalent fraction are 10:6, 15:9
Write the value of the underlined digit in words 5.3479? 7 being the underlined number.
Answers
The place value of 7 in words in 5.3479 is seven thousandths
The given number is 5.3479
The underlined digit has been identified as 7
The place values of each of the digits in 5.3479 are:
5 = 5 units
3 = 3 tens
4 = 5 hundredths
7 = 7 thousandths
9 = 9 ten thousandths
Therefore, the place value of 7 in words in 5.3479 is seven thousandths
Learn more here: https://brainly.com/question/25750254
A factory made 900 jars of peanut butter. 35% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
Answers
Answer:
315 jars
Step-by-step explanation:
This question is merely another way of writing: what is 35% of 900?
Now, when we look at it that way, it's easy to solve.
So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.
I hope this helped a bunch! Tell me if you need any further assistance...
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Can I get help please..................
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?
Answers
Answer:
27/20
Step-by-step explanation:
¾ + ³/5= 27/20. .......................
help ! ✬
due tomorrow, i font understand this at all :(
Answers
Answer:
41 litters to gallons is 10.8311
3.5 gallons to litters is 13.2489
A = 10.8311 Gallons
B = 13.2489 Literes
How many different 3 topping pizzas can be made if 10 different toppings are available?
Answers
10 x 9 x 8 = 720
9514 1404 393
Answer:
120
Step-by-step explanation:
We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...
10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120
120 different 3-topping pizzas can be made if 10 toppings are available.
_____
Additional comment
If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.
i need help pwease help me i give brainly
Answers
Answer:
the answer is A
Step-by-step explanation:
Mike can drive 345 miles on
15 gallons of gas. How many
miles per gallon does Mike
get?
Answers
Answer:
23
if you have 15 gallons of gas and it makes it 345 miles that is 345 divided by 15 which is 23 or 023
15x2 equals 30 34 - 30 equals 4 bring the 5 down you have 45 15x3 equals 45, 45 - 45 equals 0
Derrick's dinner bill, including an 18% tip, is $15.34.
What was the amount of the bill before the tip?
Enter your answer in the box. I WILL GIVE BRANLIEST IF ASWERED CORRECTLY
Answers
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
3plss help...................................
Answers
Katie invested a total of $6000 part at 3% simple interest and part at 4% simple interest at the end of one year the investment had earned $216 interest how much was invested at each rate?
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Answer:
$3600 at 4%$2400 at 3%Step-by-step explanation:
Let x represent the amount invested at 4% (the higher rate). Then the amount invested at 3% is (6000-x), and the total interest earned is ...
0.04x + 0.03(6000 -x) = 216
0.01x +180 = 216 . . . . simpilfy
0.01x = 36 . . . . . . . . subtract 180
x = 3600 . . . . . . . . multiply by 100
6000-x = 2400
Katie invested $3600 at 4% and $2400 at 3%.
The sum of two numbers is eight one number is four less than the other find the numbers
Answers
Step-by-step explanation:
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
Answer: The answer is 6 and 2
Step-by-step explanation:
X is first number, Y is second
x + x - 4 = 8
2x = 12
x = 6
Y = x - 4
Y = 6 - 4
Y = 2
x = 6
Y = 2
what is the radius and diameter of the following circle ? 5.1 cm ?
Answers
Explain how each location given in the table is related to the origin.
Answers
Refer to the attachment
Two teams are going on a trip to play a game. There will be
2 buses to take the students. On each bus, there are 60
seats. Teachers and parents will sit in 10 of the seats on
each bus
How many seats are available for students on the buses?
No links
Answers
*%~.Answer .~%*
The Answer is 100
-——————-
First you would Multiply 2 and 60
You can do that by adding 60 two times.
-——————-
60. It should look like this. If you didn’t get
+ 60. 120 then your answers is incorrect, or
——— wrong. ☺️
120
-——————-
Now you multiply 10 x 2 because the teacher’s and parents will take up 10 is the seats on each bus!
To make is easier add 10 and 10 you should get 20!
-——————-
Now subtract 20 from 120.
120. You should get 100! If you didn’t get
- 20. 100 then you're answer is incorrect or
———. Wrong, Once again.
100
——-————————-
You're answer is, 100! There will be 100 seats leftover or available for the students on the busses!
~ pls Mark brainiest, or at least say thanks!
• TheTrueNezuko.
solve pls brainliest
Answers
Answer:
circle, triangle, rectangle
Answer:
the first cross section would make a circle (option 2, the second would make a triangle (option 6), and the last one would make a rectangle (option 1). hope this helps!
math help me please n
Answers
Answer:
Step-by-step explanation:
21x1/12=1.75 cm
1.75x10=17.55 mm
17.55 mm
Express (x+5)^2 as a trinomial in standard form.
Answers
Answer:
x² + 10x + 25
Step-by-step explanation:
(x + 5)(x + 5)
using FOIL method
First x•x = x²
Outside x•5 = 5x
Inside 5•x = 5x
Last 5•5 = 25
add like terms together.
Answer:
x^2 + 25 + 10x
= x^2 + 10x + 25
Step-by-step explanation:
( x + 5 )^2
Formula : -
( a + b )^2 = a^2 + b^2 + 2ab
Here,
a = x
b = 5
( x + 5 )^2
= x^2 + 5^2 + 2 ( x ) ( 5 )
= x^2 + 25 + 10x