Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.
Uniform acceleration towards the positive direction:
In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.
Uniform acceleration towards the negative direction:
Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.
The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.
Uniform deceleration towards the positive direction:
In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.
The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.
Uniform deceleration towards the negative direction:
Here, the object's velocity decreases in the negative direction, opposing its initial direction.
The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.
In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.
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An experiment consists of rolling two fair number cubes. The diagram shows the sample space of all equally likely outcomes. What is the probability of rolling two 2's? Express your answer as a fraction in simplest form.
Pablo solved the polynomial equations given in the table. Determine whether each polynomial is correct. Select Correct or Incorrect for each equation.
Equation
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
(12c-8c²)+(5c²- 10c) = -3c²+2c
The first equation is incorrect.
The second equation is correct.
The third equation is correct.
Let's go through each equation and determine whether it is correct or incorrect:
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
To determine if this equation is correct, we need to simplify both sides and check if they are equal.
On the left side:
(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9
On the right side:
-8b² + 14b - 9
Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
Again, we need to simplify both sides of the equation and check if they are equal.
On the left side:
(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5
On the right side:
-3a² + 13a + 5
Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.
(12c-8c²)+(5c²- 10c) = -3c²+2c
Again, let's simplify both sides and compare them.
On the left side:
(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c
On the right side:
-3c² + 2c
Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.
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Jade decided to rent movies for a movie marathon over the weekend. The function g(x) represents the amount of money spent in dollars, where x is the number of movies. Does a possible solution of (6.5, $17.50) make sense for this function? Explain your answer.
Yes. The input and output are both feasible.
No. The input is not feasible.
No. The output is not feasible.
No. Neither the input nor output is feasible.
The output value is feasible. The input value is not feasible, the possible solution of (6.5, $17.50) does not make sense for this function. The correct answer is No. The input is not feasible.
Jade decided to rent movies for a movie marathon over the weekend.
The function g(x) represents the amount of money spent in dollars, where x is the number of movies.
The given function is g(x) which represents the amount of money spent in dollars, where x is the number of movies.
The solution given is (6.5, $17.50).
We need to find whether the solution makes sense for the given function or not.
The input is given as 6.5 and the output is given as $17.50.
This means that Jade rented 6.5 movies and spent $17.50 on renting those movies.
To check whether the solution makes sense or not, we need to see if the input and output values are feasible or not.
The input value 6.5 is not a feasible value because it is not possible to rent half a movie.
Jade can rent 6 movies or 7 movies but not 6.5 movies.
Therefore, the input value is not feasible.
On the other hand, the output value $17.50 is a feasible value because it is possible for Jade to spend $17.50 on renting 6 movies.
The output value is feasible.
Since the input value is not feasible, the possible solution of (6.5, $17.50) does not make sense for this function. The correct answer is No. The input is not feasible.
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Write 0.000000624 in scientific notation
Answer:
6.24 x [tex]10^{-7}[/tex]
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x [tex]10^{-7}[/tex]
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
Afish tank is 30 inches wide, 12 inches deep, and 18 inches tall Approximately how many gallons of water does it hold if there are 7 48 gallons per cubic foot of water?
39
28
19
Answer: 12
Step-by-step explanation:
Answer the equation 2.5p + 1 = 1.4p
Answer:
p ≈ -0.9
Step-by-step explanation:
2.5p + 1 = 1.4p
2.5p = 1.4p - 1
1.1p = -1
p ≈ -0.9
So, p ≈ -0.9
Here is Takeshi's work determining a third point on the graph of an exponential function, `h(x)`.
Explain why the work is incorrect.
Answer:
Step-by-step explanation:
Let h(x) = y
The exponentail function is of the form :
[tex]y = ab^x[/tex]
We have :
[tex]y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}[/tex]
Given points : (4, 9) and (5, 34.2)
We have:
[tex]\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b[/tex]
Writing the equation with x, y and b:
[tex]y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043[/tex]
a = 0.043
b = 3.8
When x = 6, y will be:
[tex]y = (0.043)(3.8^6)\\\\y = 128.47[/tex]
This is not the y value in the question y = 59.4
Therefore (6, 59.4) does not lie on the graph h(x)
Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?
Time (sec) Frequency
60 to 119 7
120 to 179 24
180 to 239 14
240 to 299 1
300 to 359 4
Answer:
Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:
7 + 24 + 14 + 1 + 4 = 50
Therefore, there are 50 individuals included in the summary.
Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.
Sadie is going to see a movie and is taking her 4 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $4.50 each. How much total money would Sadie have to pay for her family if she were to buy 6 snacks for everybody to share? How much would Sadie have to pay if she bought x x snacks for everybody to share?
Answer: 102 dollars/4.5x+75
Step-by-step explanation: Your question isn't really straightforward, x x snacks for everybody to share? Please elaborate, and are they talking about the total cost, or just the cost of 6 snacks?
First, we have to take into account that if SADIE is taking her FOUR kids, there will be 5 people.
Cost of tickets is equal to $15 per one, and
5x (where x=15, per 5)
5(15)=75, and now onto the snacks
4.5x2=9, and 6/2=3, so 9x3=27, or 4.5x6=27
75+27=102
then for x snacks, if 1 snack costs 4.5 dollars than it'd be 4.5x (x number of snacks)+75 to find the total cost with tickets and all.
K
The formula for the nth square number is S, -n². Use the formula to find the 19th square number.
The 19th square number is (Simplify your answer.)
The nth square number of the value given is the squared value of 19, which is 361
The nth square number , S is related by the formula :
S = -n²n = nth termGiven that , n = 19
The nth square number , where n = 19 can be calculated thus:
S = -19² = 361
S = (-19) * (-19)
S = 361
Therefore, the 19th square number is 361
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What number after being increased by 22% results in a value of 305?
Answer:
250
Step-by-step explanation:
[tex]x+0.22x=305\\1.22x=305\\x=250[/tex]
Answer:
250
Step-by-step explanation:
so when you add 22% to 250 it equals 305
the base of a square pyramid is 229 meters long, each slant height is 186 meters. what is the surface area
Answer:
The total surface area is given by: base area + 4 * triangular face area
Substituting the values we calculated: 52441 + 4 * 10424.4 ≈ 91588.4 square meters.
Therefore, the surface area of the square pyramid is approximately 91588.4 square meters.
Predict the population in 2016, as a decreases at a constant rate
Answer:
We need more information to accurately predict the population in 2016. The following information is needed:
The initial population (population in a given baseline year)
The known population decrease rate as a percentage or absolute number per year
For example, if:
The initial population (in 2010) was 10,000
The population is decreasing at a constant rate of 100 people per year
Then we can calculate the population in 2016 as follows:
2010 population: 10,000
2011 population: 10,000 - 100 = 9,900
2012 population: 9,900 - 100 = 9,800
2013 population: 9,800 - 100 = 9,700
2014 population: 9,700 - 100 = 9,600
2015 population: 9,600 - 100 = 9,500
2016 population: 9,500 - 100 = 9,400
Therefore, based on this information, the predicted population in 2016 would be 9,400.
In summary, to accurately predict population changes over time, we need to know the initial population and population decrease rate. With that information, we can calculate the population for each subsequent year by subtracting the decrease amount from the population in the previous year.
Hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
Fill in the blank with the recursive function. Be sure to include the starting point.
Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time.
The recursive function that gives the number of books Ashley has at any time is ____ = _____
, starting at ____ (I have this answer already, it is 100.)
100
.Every other response to this has been unsatisfactory, so I will elaborate further. This is on PLATOWEB.
If you're a student cramming and reading this for the answer, hi.
The recursive function that represents the number of books Ashley has at any time is Number of books(n) = Number of books(n-1) - n, starting at 100.
The recursive function that represents the number of books Ashley has at any time can be defined as follows:
Number of books(n) = Number of books(n-1) - n
Starting point: Number of books(0) = 100
Explanation:
In the recursive function, "n" represents the number of weeks that have passed. Each week, Ashley gives away "n" books. Therefore, the number of books she has at any time is equal to the number of books she had in the previous week (Number of books(n-1)) minus the number of books given away in the current week (n).
The starting point is given as Number of books(0) = 100, which means initially Ashley has 100 books before any weeks have passed.
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please explain the logic behind it
first of all, you need to assume that this shape is like a cone. So cone has a height and you can find it by using Thales's theorem. so it would be
[tex] \frac{x}{x + 6} = \frac{4}{8} [/tex]
x is 6. So the total height of the cone has founded.
To find the volume of this frustum we have to subtract the volume of the small cone(at the top of the frustum) which has 6 cm in height from the big cone with 12 cm in height.
big cone Volume: ⅓(8²π×12)
-
small cone Volume: ⅓(4²π × 6)
=
frustum volume : 224π
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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