Help -crys- "pacman traveled 18 feet every 6 seconds. pacman's distance is proportional to time. constant of proportionality k=___
Answers
The constant of proportionality (k) for Pacman's distance is 3 feet/second. This means that Pacman travels at a rate of 3 feet per second.
To determine the constant of proportionality (k) for Pacman's distance, we need to use the given information that Pacman travels 18 feet every 6 seconds.
The constant of proportionality (k) represents the ratio between the distance traveled and the time taken. In this case, it is the ratio of distance to time.
We can calculate the value of k by dividing the distance by the time:
k = distance / time
k = 18 feet / 6 seconds
k = 3 feet/second
Therefore, the constant of proportionality (k) for Pacman's distance is 3 feet/second. This means that Pacman travels at a rate of 3 feet per second.In this scenario, we know that Pacman travels a distance of 18 feet every 6 seconds. To determine the constant of proportionality (k), we need to find the ratio between the distance and the time.
The formula for the constant of proportionality (k) is:
k = distance / time
In this case, the distance traveled is 18 feet, and the time taken is 6 seconds. Plugging these values into the formula, we get:
k = 18 feet / 6 seconds
Simplifying this expression, we find:
k = 3 feet/second
This means that Pacman's distance is proportional to time with a constant of proportionality of 3 feet/second. It indicates that for every second that passes, Pacman will travel 3 feet. This constant ratio allows us to predict the distance Pacman will cover based on the amount of time elapsed.
So, the constant of proportionality (k) represents the rate at which Pacman covers distance with respect to time. In this case, Pacman travels at a rate of 3 feet per second.
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The constant of proportionality, k, is found by dividing the distance by time. Given that Pacman travels 18 feet every 6 seconds, the calculation is 18 feet ÷ 6 seconds, which gives k = 3 feet per second.
Explanation:The question is asking for the constant of proportionality for Pacman's movement. This is found by dividing the distance by time. In this case, Pacman travels 18 feet every 6 seconds. So, to find the constant of proportionality, or k, you divide the distance (18 feet) by the time (6 seconds).
Here's the calculation: k = 18 feet ÷ 6 seconds
When you perform this operation, you find that k = 3 feet per second. This means that Pacman's constant rate of movement, or speed, is 3 feet per second when the distance is proportional to the time.
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Related Questions
According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination (IRD) phase of systems analysis except _____.
A. reviews of paper-based forms and reports
B. meetings with the development team
C. beta testing
D. observation of system use
E. interviews with system users
Answers
According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination (IRD) phase of systems analysis except beta testing.
According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination (IRD) phase of systems analysis except beta testing. The IRD phase of the systems analysis process is used to determine information requirements for the system being developed. The IRD process identifies what information is needed to support business functions and operations.
The activities that are carried out during the IRD phase of the systems analysis process include: Reviews of paper-based forms and reports Interviews with system users Observation of system use Meetings with the development team Therefore, the answer is option C. Beta testing is not a part of the IRD phase of systems analysis.
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A firm experiences_______ if inputs are doubled and output more than doubles. diminishing marginal rate of technical substitution diminishing marginal product decreasing returns to scale increasing returns to scale
Answers
A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.
When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.
The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.
This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.
The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.
Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.
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HURRRYYYY
Evaluate the following expression: 7 + 3b + 4b use a=3 and b=5
Answers
Answer:
222222222222224.705876
Answer:
42
Step-by-step explanation:
You would substitute B where is needs to go, 7 + 3(5) + 4(5). First multiply 3 x 5 to get 15, and then multiply 4 x 5 to get 20, 7 + 15 + 20. 7 + 15 = 22 + 20 = 42. I hope this helps.
At a grocery store, tasting cups are used to let customers try a
new brand of chicken stock. An ounce of chicken stock can be filled up by 5 tasting
cups. Each carton of chicken stock is 16 oz. if 5,630 customers tried the chicken stocks in
one day, they drank about ____ cartons of chicken stock.
A. 70
B. 110
C. 350
Answers
if a and b are directly proportional and b and c are directly proprtional, then how are a and c related
Answers
a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.
If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.
Mathematically, this can be written as
a = kb and b = mc, where k and m are constants of proportionality.
Multiplying these two equations gives: a = kbm
Substituting the value of b from the second equation in the first equation, we get: a = kmc
Therefore, a and c are also directly proportional to each other with a constant of proportionality km.
Thus, if a increases by a certain factor, c will also increase by the same factor.
If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.
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solve pls brainliest
How can I use the scale factor to determine if a picture is a reduction?
Answers
Answer:
hope it's help pohh mark me brain less
A baker can make 25 cakes in 4 days. At this rate, how many cakes can he make in 7
days? State your answer as a simplified fraction
Answers
Answer:
7/16
Step-by-step explanation:
Answer:
193
Step-by-step explanation:
if they make 25 in 4 days it means they make 6.25 in 1 day but in 8 days they would make 200 so if you take 7 off of 200 you would get 193
Im not fully sure if its correct but i tried sorry if its wrong
Suppose Clay, a grocery store owner, is monitoring the rate at which customers enter his store. After watching customers enter for several weeks, he determines that the amount of time in between customer arrivals follows an exponential distribution with mean 5 s. What is the 30th percentile for the amount of time between customers entering Clay's store? Round your answer to the nearest two decimal places. 30th percentile S =
Answers
the 30th percentile for the amount of time between customers entering Clay's store is approximately 1.87 seconds
To find the 30th percentile for the amount of time between customers entering Clay's store, we need to use the exponential distribution formula:
F(x) = 1 - e^(-λx)
where λ is the rate parameter, which is equal to 1/mean. In this case, λ = 1/5 = 0.2.
We want to find the value of x such that the 30th percentile, or the probability of the time between customer arrivals being less than or equal to x, is 0.3. In other words, we want to solve for x in the equation:
0.3 = 1 - e^(-0.2x)
To solve for x, we can start by subtracting 0.3 from both sides:
-0.7 = -e^(-0.2x)
Then, we can take the natural logarithm of both sides:
ln(0.7) = -0.2x
Finally, we can solve for x by dividing both sides by -0.2 and multiplying by -1:
x = ln(0.7)/0.2 ≈ 3.47 s
Therefore, the 30th percentile for the amount of time between customers entering Clay's store is approximately 3.47 seconds. Rounded to the nearest two decimal places, the answer is 3.47 s.
Hello! Based on your information, we know that the time between customer arrivals follows an exponential distribution with a mean of 5 seconds. To find the 30th percentile, we will use the exponential distribution formula for percentiles:
Percentile (p) = -mean * ln(1 - p/100)
In this case, the mean is 5 seconds, and we are looking for the 30th percentile (p = 30). Plugging these values into the formula:
Percentile (30) = -5 * ln(1 - 30/100)
Percentile (30) = -5 * ln(0.7)
Percentile (30) ≈ 1.87 seconds
So, the 30th percentile for the amount of time between customers entering Clay's store is approximately 1.87 seconds
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Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. the first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
1. Write an equation for each tank representing the total amount of water in gallons in the tank, y, in terms of the number of hours, x, that the tank drains
2. what is the solution to this system of equations.
3. suppose Aiko starts draining the tanks at the same time. When will both tanks have the same amount of water? How much water is in each tank at that time
Answers
The answers to each part is mentioned above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
( 1 ) -Equation for tank {1} -
y = 175 - 25x
Equation for tank {2} -
y = 200 - 30x
( 2 ) -For the solution we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5
and
y = 200 - 150
y = 50
( 3 ) -For the same amount of water we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5 hours
In tank (1), there is : 175 - 25 x 5 = 50 gallons
In tank (2), there is : 200 - 30 x 5 = 50 gallons
Therefore, the answers to each part is mentioned above.
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Low Carb Diet Supplement, Inc., has two divisions. Division A has a profit of $230,000 on sales of $2,120,000. Division B is able to make only $34,700 on sales of $381,000.
Compute the profit margins (return on sales) for each division. (Input your answers as a percent rounded to 2 decimal places.)
Division A= ______%
Division B= ______%
___________________________________________________________________________________________________________________________________________________
Polly Esther Dress Shops Inc. can open a new store that will do an annual sales volume of $1,220,400. It will turn over its assets 2.7 times per year. The profit margin on sales will be 7 percent.
What would net income and return on assets (investment) be for the year? (Input your return on assets answer as a percent rounded to 2 decimal places.)
Net Income=
Return on Assets= __________ %
Answers
The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.
To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.
For Division A:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($230,000 / $2,120,000) * 100
Profit Margin ≈ 10.85%
For Division B:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($34,700 / $381,000) * 100
Profit Margin ≈ 9.11%
To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.
Net Income = Profit Margin * Sales
Net Income = 7% * $1,220,400
Net Income = $85,428
Return on Assets = Profit Margin * Asset Turnover
Return on Assets = 7% * 2.7
Return on Assets = 18.9%
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please PLEASE help i’ll give brainliest !!!!!!!!
Answers
9514 1404 393
Answer:
72 feet
Step-by-step explanation:
Triangle JKM is similar to triangle PQM, so we have ...
JK/KM = PQ/QM
JK/(60 ft) = (6 ft)/(5 ft)
JK = (60 ft)(6/5)
JK = 72 ft
The height of the cliff is 72 feet.
what color is a blueberry?
Answers
Answer: blue
Step-by-step explanation: it’s blue because when you see it, you can see the color blue. Also, blue is in blueberry :). Honestly, there isn’t a main reason why, but it’s blue.
4. Find f(7) for
the function
below.
f(x) = 1/2 •2^x
Answers
Answer:
f(7) = 64
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x) , that is
f(7) = \(\frac{1}{2}\) × \(2^{7}\) = \(\frac{1}{2}\) × 128 = 64
Answer:64
Step-by-step explanation:
BIG BRAIN
A tablet at a local electronics store is in high demand and will only be available to customers for a limited time. The store initially has 4 cases of the tablet on hand. The store manager receives new supplies of the tablet each week. At the beginning of week 1, the store manager receives an additional order from the distributor of 5 cases of tablets. At the beginning of week 6, the manager receives another order of 10 cases. Which of the following equations best models the scenario for how many cases of the tablet the store can expect to receive each week?
Answers
Answer:
y = x + 4
Explanation:
Initially (at week 0) = 4 cases
now (at week 1) = 5 cases
now (at week 6) = 10 cases
turn them into points:
(0, 4), (1, 5), (6, 10)Find slope:
\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)
\(\rightarrow \sf slope \ (m) : \dfrac{5-4}{1- 0 } = 1\)
Find equation:
\(\sf y - y_1 = m(x - x_1)\)
\(\sf \rightarrow y-4 =1(x -0)\)
\(\sf \rightarrow y = x +4\)
suppose that accidents occur at a rate of 1 per hour from 3-5pm and 6-7pm, and 4 per hour from 5-6pm as poisson process. (a) what is the probability that there are less than 2 accidents occur between 3-7pm? (b) suppose that on day 1, there was an accident at 3pm and on day 2, at 5pm. what is the probability that the next accident occurred within 30 minutes on both days?
Answers
(a) The probability that there are less than 2 accidents occur between 3-7pm is 0.2465.
(b) The probability that the next accident occurred within 30 minutes on both days is 0.1358.
Suppose that accidents occur at a rate of 1 per hour from 3-5pm and 6-7pm, and 4 per hour from 5-6pm as Poisson process.
(a) We have to determine the probability that there are less than 2 accidents occur between 3-7pm.
We may use the Poisson distribution to determine the likelihood that there would be less than two accidents between 3 and 7 pm.
The total of the rates for each individual hour represents the rate of accidents during this time period, which is
= 1 + 1 + 4 + 1
= 7 accidents per hours
So the Poisson variable λ = 7
So the probability that there are less than 2 accidents occur between 3-7pm is:
P(X < 2) = P(X = 0) + P(X = 1)
P(X < 2) = \(e^{-7}\) × (7^0/0!) + \(e^{-7}\) × (7^1/1!)
After simplifying
P(X < 2) = 0.2465
(b) Suppose that on day 1, there was an accident at 3pm and on day 2, at 5pm, then we have to determine the probability that the next accident occurred within 30 minutes on both days.
Since accidents occur in a Poisson process, we may use the Poisson distribution to determine the likelihood that an accident will occur within the next 30 minutes.
Since there are 4 accidents every hour between 5 and 6 o'clock, the likelihood that one will happen in the next 30 minutes is:
P(X = 1) = \(e^{-1}\) × (1^1 / 1!)
P(X = 1) = 0.3679
The likelihood that the following event will occur within 30 minutes on both days would thus be
= 0.3679 × 0.3679
= 0.1358
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What is -6 -8 -10 -5 -2 -3 -1 from least to greatest?
Answers
Answer:
-10, -8, -6, -5, -2, -1
Step-by-step explanation:
I knew this because every negative number can still relate to being the least number. But hey, hope this helps. :]
Please help!! Greatly appreciated <3
Answers
Answer:
30?
Step-by-step explanation:
divide 20 by 8 and then times the answer by 12
For the equation y=5x+4, determine the value of y when x=-2
Answers
By evaluating the expression in x = -2, we will see that y takes the value y = -6.
How to determine the value of y when x = -2?Here we have an algebraic expression:
y = 5x + 4
That relates two variables, x and y.
Now we want to evaluate this expression in x = -2, this means replacing the variable x by the number -2, and doing that we can see the value of y associated to x = -2
We will get:
y = 5*(-2) + 4
y = -10 + 4
y = -6
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Please help...Here's a graph of a linear function. Write the equation that describes that function
Answers
Answer:
y = 6x - 4
Step-by-step explanation:
Slope formula: y = mx + b
m = slope, found by figuring out the change in y over the change in x. A fancy way to say find the simplest rate of how far up it goes over how far right it goes. In this case, the line goes up 6 for every time it goes right one; 6/1. This can be simplified as 6.
b = y-intercept, meaning where the line crosses the y line. In this line, you can see that it crosses at -4.
Hope this helps!
Find four consecutive even integers such that if the sum of the first and third is multiplied by 5 the result is 12 more than 8 times the fourth.
Answers
-8-10,-12-14
-8 plus -12 is -20
-20 times 5 is -100
-14 times 8 is -112
-100 is 12 more than -112
A is the center of the circle, solve the following:
(34) x =
(35) y =
Answers
Pasos
(34)x=(35)y=
La ecuación está en formato estándar.
34x=35y
Divide los dos lados por 34.
34
34x
=
34
35y
Al dividir por 34, se deshace la multiplicación por 34.
x=
34
35y
You have a spinner with red and blue regions. When you spin, it comes up blue 60 percent of the time. You do an experiment where you spin the spinner 180 times, and it comes up blue 114 times. (a) What proportion of spins came up blue in your sample
Answers
Explanation:
Divide the number of times blue came up (114) over the number of spins total (180). Ignore the 60% given to you. That's a theoretical value that doesn't play any part in determining an experimental probability.
114/180 = 0.633 approximately
The '3's go on forever. Round that however your teacher instructs.
Why did the National Assembly break away from the Estates General?
Answers
After Louis XVI's failed attempts to sabotage the Assembly and to keep the three estates separate, the Estates-General ceased to exist, becoming the National Assembly. It renamed itself the National Constituent Assembly on July 9 and began to function as a governing body and constitution-drafter.
National assembly
The National Assembly was the first revolutionary government of the French Revolution and existed from June 14th to July 9th in 1789. The National Assembly was created amidst the turmoil of the Estates-General that Louis XVI called in 1789 to deal with the looming economic crisis in France.
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1 min left need help fast :(
Answers
Answer:
A: 4/10
Step-by-step explanation:
There a four numbers that are greater that 6 : 7,8,9,10
Since it is out of 10, the probability that the first person would choose a number greater than 10 is 4/10
Arun's family took a road trip to Niagara Falls. Arun fell asleep 69% of the way through the trip. If Arun fell asleep after they had travelled 690 miles, what was the total length of the trip?
Answers
what is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x 2?
Answers
The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.
To find the average rate, follow these steps:
The formula for the average rate of change is expressed as rate= (f (b) - f (a)) / (b - a), where the letters a and b represent two points on the interval that is being analyzed and f (a) and f (b) are the function values of those points. The interval [1, 5] is being considered here so the value of a =1 and value of b=5.So, the average rate of change of y with respect to x is given by;(f(b)−f(a))/(b−a) = [f(5)−f(1)]/(5−1). By substituting x = 5 into the function equation, we get f(5) = \(4(5)^2\) = 100. By substituting x = 1 into the function equation, we get f(1) = \(4(1)^2\) = 4. Substituting these values into the average rate of change formula;[f(5)−f(1)]/(5−1) = (100 - 4) / 4 = 96/4 = 24.Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\) is 24.
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Regular hexagon ABCDEF is inscribed in a circle with center H. What is the image of segment BC after 120 degree clockwise rotation about point H?
Answers
Regular hexagon ABCDEF is inscribed in a circle with center H, the image of segment BC after 120 degree clockwise rotation about point H is the segment joining the points B' and C', which has endpoints (-0.5r\(\sqrt{3\), -0.5r) and (-0.5r, -0.5r).
Since the hexagon is inscribed in a circle with center H, we can conclude that H is also the center of the circle passing through vertices B, C, and D. Therefore, the circle passing through B, C, and D is also a 120 degree clockwise rotation of the circle passing through A, B, and C.
To find the image of segment BC after a 120 degree clockwise rotation about point H, we need to find the coordinates of B and C relative to H, and then apply a 120 degree rotation matrix to these coordinates.
Let the radius of the circle be r, and let the coordinates of H be (0,0). Then the coordinates of B and C are:
B: (r cos(60), r sin(60))
C: (r cos(0), r sin(0)) = (r, 0)
To apply a 120 degree clockwise rotation matrix, we can use the following matrix:
[ cos(-120) -sin(-120) ]
[ sin(-120) cos(-120) ]
Simplifying, we get:
[ cos(120) sin(120) ]
[ -sin(120) cos(120) ]
Applying this matrix to the coordinates of B and C, we get:
B': [ cos(120) sin(120) ][ r cos(60) ] = [ -0.5r \(\sqrt{3}\)]
[ -sin(120) cos(120) ][ r sin(60) ] [ -0.5r ]
C': [ cos(120) sin(120) ][ r ] = [ -0.5r ]
[ -sin(120) cos(120) ][ 0 ] [ -0.5r ]
Therefore, the image of segment BC after a 120 degree clockwise rotation about point H is the segment joining points B' and C', which has endpoints (-0.5r\(\sqrt{3}\), -0.5r) and (-0.5r, -0.5r), respectively.
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23.2 x 0.14 can somebody help quick
Answers
Answer:
2.78
Step-by-step explanation:
you could have used a calculator
Answer:
23.2 times 0.14 is 3.248
System analysts define an object's attributes during the systems design process. true or false?
Answers
The statement "System analysts define an object's attributes during the systems design process" is true because defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.
In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.
For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.
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an experiment of study times versus test scores found a correlation coefficient of r = 0.49. how would you describe this relationship?
Answers
The correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores. This suggests that as study times increase, there is a tendency for test scores to also increase. However, the relationship is not extremely strong.
The correlation coefficient, denoted by 'r', ranges from -1 to 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other tends to increase as well. In this case, the correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores.
It's important to note that the correlation coefficient of 0.49 falls between 0 and 1, closer to 1. This suggests that there is a tendency for test scores to increase as study times increase, but the relationship is not extremely strong. Other factors may also influence test scores, and the correlation coefficient does not imply causation.
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