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.
============================================================
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).
============================================================
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.
1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin
Answer:
Second is the correct answer but i think all are correct
plss need help, question on pic below
Polygon KLHIJ ≅ Polygon VWSTU
Write the first five terms for the following recursive rule.
f(1)=7
f(n)=f(n-1)+12
Answer:
PLEASE MARK ME AS BRANLIEST!!!!!
Step-by-step explanation:
a1 = first term; an= an-1 + d a1 = the first term in the sequence an = the nth term in the sequence an-1 = the term before the nth term n = the term number d = the common difference.
{10, 15, 20, 25, 30, 35, } first term = 10, common difference = 5 recursive formula: a1= 10; an= an-1 + 5
f(n) = f(n-1) + 12
f(1) = 7
f(2) = (7-1) + 12 = 18
f(3) = (18-1) + 12 = 29
f(4) = (29-1) + 12 = 40
f(5) = (40-1) + 12 = 51
7, 18, 29, 40, 51
Where is the blue dot on the number line ?
Answer:
-12
Step-by-step explanation:
Since the segments go by 3, with each segment to the left I subtracted 3, so it was 0, -3, -6, -9, and then the blue dot stood on the segment -12, and that's your answer.
Tell me if I'm wrong :)
Answer: -12
Step-by-step explanation: The number line is going by 3's, so since the blue dot is 4 dashes away from 0 with the first dash being -3, that can only mean that the answer is -12.
Hope this helped and let me know if its correct!
-KC
One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10
Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
Explanation:-
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
what will the base b be in log 1000 = 3 make this true
Step-by-step explanation:
the base b will be 10.
because if base is not provided it means 10.
therefore if you write it in exponential form the answer comes out to be 10³=1000. therefore, 10.
hope this helps you.
What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate the total area of the rectangle:
21 x 12 = 252
Half of the rectangle is unshaded so:
252 ÷ 2 = 126
For clarification, side A is the top, side B is the left hand side and side C is the bottom.
Now, find the area of the unshaded side of the other triangle. As the length of side C is 21 and the shape is a rectangle, side A is also 21. We need to calculate the amount is unshaded on this side so:
21 - 14 = 7
(7 x 12) ÷ 2 = unshaded
84 ÷ 2 = 42
So now we know the total of the shape that is shaded, we can now subtract this from the total area of the shape:
252 - 126- 42 = 84
Which in fraction form is:
[tex]\frac{84}{252}[/tex]
This can be simplified down by dividing both the numerator and the denominator by 3:
[tex]\frac{84 \div 3}{252 \div 3}[/tex]
=[tex]\frac{1}{3}[/tex]
Hope this helps!
Consider the functions f(x) and g(x). The function f(x)=2x-5 and g(x)= -f(x+1)+3. Describe the three transformations that are performed on f(x) to create g(x).
A.
1.
2.
3.
B. Sketch a graph of g(x):
Answer: 3
Step-by-step explanation:
The picture below shows the graph of which inequality?
Answer A is correct.
Step-by-step explanation:
Negative one is less than one.
is this linear or not and why
Answer:
YesStep-by-step explanation:
Both equations of this system are of degree one.
They are both linear as the graph of both is a line.
Answer:
yes
Step-by-step explanation:
The highest power of variable is 1 . So it is a linear equation of two variables .
A desk is 39 inches wide. What is the width in yards
Answer:
1.0833 yd
Step-by-step explanation:
Inches Yards
37" 1.0278 yd
38" 1.0556 yd
39" 1.0833 yd
40" 1.1111 yd
Have a great day! :D
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answer:y=2.5x+5 i thank
Step-by-step explanation:
My dinner at San Felipe cost $8.20 before tax and $9.96 after tax. What was the sales tax rate?
*Round to the nearest whole percent.
Show Your WorK
Answer:
Sale tax rate = 21.46%
Step-by-step explanation:
Sale Tax % = ( Amount after sale tax - Original cost) ÷ original × 100
Sale Tax % = ( $9.96 - $8.20) ÷ $8.20 × 100
Sale Tax % = $1.76 ÷ $8.20 × 100
Sale Tax % = .2146341463 × 100
Sale Tax % = 21.46
math
solve this pls lol
Answer:
The two triangles are related by congruent angles/similarity, so the triangles are similar.
Have an awesome day! :D
TOT ROLIOS
-: Study Guide Ratios (Quiz 1)
Arroz Con Leche
Arroz con leche is a creamy dessert from Mexico and Spain.
Nia wants to use 6 cups of rice.
1. How much of each ingredient does she need?
Ingredients
Serves 4 people
2 cups of rice
4 cups of milk
.
cups of rice
.
cups of milk
į cup of sugar
cups of sugar
i handful of raisins
1 cinnamon stick
handfuls of raisins
cinnamon sticks
How many people will this larger batch of Arroz Con Leche serve?
Answer:
If Mia wants to use 6 cups of rice, she would need to multiply the amount of each ingredient by 3, because the original 2 cups times 3 is the 6 cups she wants to use. So the new amount for the recipe would be this:
6 cups of rice
12 cups of milk
1 cup of sugar
3 handful of raisins
3 cinnamon sticks
When asking how many this will serve, we also multiply by 3 the original amount of people which is 4 to get 12 servings of Arroz con leche
The net price of a hand phone after allowing trade discount of 20% was RM2,000. Find what is the list price of the hand phone.
Answer:
RM1,600
Step-by-step explanation:
2000 * 0.20= 400
2000-400= 1600
A bag contains 11 apples and 6 oranges. If you select 6 pieces of fruit without looking, how many ways can you select exactly 5 apples
Answer:
you have a 11/17 percent chance of getting an apple
Step-by-step explanation:
if there are 11 apples and 6 oranges. 11 out of 17 times you will get an apple
Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
Hello there hello hello
Answer:
(-4,-7)
Step-by-step explanation:
The process of a reflection across the y axis is simply just switching the x value in (x,y) to a negative. So, (4,-7) and then make 4, a -4. So the resulting image is (-4,-7)
Answer:
Ah hello!
Step-by-step explanation:
Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7 ft
to 1 in. The dimensions of the deck are 28 ft by 17.5 ft. What are the dimensions of the deck in the
drawing? Show your work.
Answer:
The width is 2.5 inches
Step-by-step explanation:
The given ratio is 7 ft to 1 in
Now we will have 17.5 to x in
x * 7 = 17.5 * 1
7x = 17.5
x = 17.5/7
x = 2.5 inches
Read the excerpt from "Healthy Eating."
If anything gets in the way of our good eating, it's lifestyle. When you get home from work late, why spend an hour in front of the stove when you can spend two minutes at the microwave? And doesn't that oatmeal box claim to be a good source of calcium for our kids, never mind the small print listing 14 grams of sugar? A small soda at the movies could satisfy a family of four. Even schools have vending machines.
What does the author think is responsible for people's poor eating habits?
A They do not know how to correctly read the nutrition information on food packages.
B They do not know how to prepare healthy meals that are both inexpensive and quick.
C They often choose foods that are quick and convenient instead of ones that are healthy.
D They spend time thinking about work and entertainment instead of thinking about food.
Step-by-step explanation:
A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?
Step-by-step explanation:
each department has 3 options for their representative.
and each of these options can be associated with the 3 options of the next department. and so on.
so, we have
3×3×3×3 = 3⁴ = 81
possibilities to firm that committee overall.
Which is the quotient for 0.9 divide by 0.75
Answer:
1.2!
Step-by-step explanation:
The value of the numerical expression 0.90 ÷ 0.75 in the decimal form will be 1.20.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
0.90 and 0.75
Then the division between the numbers 0.90 and 0.75 will be given by putting a division sign between them. Then we have
⇒ 0.90 ÷ 0.75
⇒ 0.90 / 0.75
⇒ 1.20
The worth of the mathematical articulation 0.90 ÷ 0.75 in the decimal structure will be 1.20.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Materials and labor for each pet groomed
costs $15. The business also has fixed costs
of $1,000 each month. Define a cost
function for this business.
Answer:
f(x) = 15x + 1,000
Step-by-step explanation:
y = mx + b
the 15 is the slope or rate and 1000 is the fixed value ( y intercept)
Use distributive property to remove the parentheses. Simplify your answer as much as possible please.
Answer:
28y^3 -35y^5
Step-by-step explanation:
= 7y^3(4) -7y^3(5y^2)
= 28y^3 -35y^5
_____
The applicable rule of exponents is ...
(y^a)(y^b) = y^(a+b)
The following accounts appear in the ledger of Monroe Entertainment Co. All accounts have normal balances.
Accounts Payable $1,500 Fees Earned $3,600
Accounts Receivable 1,800 Insurance Expense 1,300
Prepaid Insurance 2,000 Land 3,000
Cash 3,200 Wages Expense 1,400
Drawing 1,200 Capital 8,800
Total assets are
a. $10,000
b. $9,800
c. $9,700
d. $8,000
The total assets of Monroe Entertainment Co. are $8,000. Option D is correct.
An asset in business is defined as any form of resources owned by an individual or controlled by a business enterprise.From the given account that appears in the ledger of Monroe Entertainment Co, the assets include the account receivables, Land, and Cash.
Taking the sum of the given assets to get the total asset.
Total assets = account receivables + Land + Cash
Total assets = $ 1,800 + $3,000 + $ 3,200
Total assets = $8,000
Hence the total assets of Monroe Entertainment Co. are $8,000
Learn more on assets here: https://brainly.com/question/23046859
An inventor makes a rectangular array of 1024 LEDs. Each row will
have 16 LEDs. How many rows of LEDs does he need?
Answer:
64
Step-by-step explanation:
Since the total area of the rectangle (in this case number of leds) is:
Total LEDs = rows * columns
you can just replace the values:
1024 = 16 * x
And then divide 1024 / 16 to find x
x = 64
the sum of three consecutive odd integers is 17 less than four times the smallest integer. find the largest integer.
PLSSS helPPP :')
Answer:
Find three consecutive integers where their sum is 17 less than four times the smallest integer. So consider any integer -- let's call it n.
7 answers
·
1 vote:
Let the smallest of those numbers be [math]n[/math], then the other numbers w
Step-by-step explanation:
HELP!!!! ME PLSSSSSSSSSSSSSSSSSSSSS
Answer:
A for the Venn Diagram and B for the chart.
Step-by-step explanation:
1. Domain: (-2, -1, 0, 2)
Range: (-4, -2, 2)
2. Domain: (-4, 2, 1, 4)
Range: (-2, 1, 4, 4)
The domain represents the values of the independent variable (x) and the range represents the values of the dependent variable (y). The values of the independent variable are inputs that result in an output in a relation. The values in the range are outputs that correspond to inputs from the independent variable.
Simplify.
5x+3(x+2)+3
A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8
Answer:
A- 8x+9
Step-by-step explanation:
------------------------------------------
5x + 3 (x + 2) + 3
5x + 3x + 6 + 3
8x + 6 + 3
8x + 9
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