Answer:
Step-by-step explanation: first you would graph them... for the first equation you would start at -2 and go up one left one and for the next equation you would start at 8 and go down one right one
Given the triangle below, what is mA, rounded to the nearest tenth?
Answer:
A. 24.2°
Step-by-step explanation:
I'm correct if I'm rwong
A mass weighing 16 pounds is attached to a 5-foot-long spring. At equilibrium the spring measures B.2 feet (in Hooke's law F
y
=kx, we need to replace x with 8.2−5=3.2t.). If the mass is initially released from rest at a point 2 feet above the equilibrium position. a) Find the displacement (Equation of the motion) if it is further known that the surrounding medium offers a resistance numerical equal to the instantaneous velocity (F
d
=x
′
(t) b) Is the motion, under-damped, over-damped, or critically damped? (Assume that the positive direction is downward) c) Graph x(t) on [−1,5] 1) Solve and graph the solutions for problems 1 through 4 by using elther the Mathematica or Wolfram Alpha. ii) Please tum in your solutions + graphs in class on the due date
a) To find the displacement of the mass, we can use the equation of motion for a mass-spring system. The equation is given by: m * d^2x/dt^2 + b * dx/dt + k * x = 0 Where m is the mass, b is the damping coefficient, k is the spring constant, and x is the displacement from the equilibrium position.
In this case, the mass is 16 pounds, the spring length at equilibrium is 2 feet, and the spring length when displaced is 5 feet. So, the displacement is given by: x = 5 - 2 = 3 feet b) To determine if the motion is under-damped, over-damped, or critically damped, we need to compare the damping coefficient b to the critical damping coefficient, which is given by: b_critical = 2 * sqrt(m * k)
If b < b_critical, the motion is under-damped.
If b > b_critical, the motion is over-damped.
If b = b_critical, the motion is critically damped.
Since the question does not provide the damping coefficient, we cannot determine the type of damping. c) Without additional information about the damping coefficient or the specific equation of motion, we cannot graph x(t) on the given interval [-1,5].
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If x = 2, what value of y makes the following equation true?
-x + 2y = 10
A. 2
B. 4
C. 6
D. 8
Answer:4
Step-by-step explanation:
1=2
Answer:
c. 6
Step-by-step explanation:
in 2012, gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. suppose that random samples of 100 respondents were selected from both vermont and hawaii. from the survey, vermont had 65.3% who said yes and hawaii had 62.2% who said yes. what is the value of the sample proportion of people from vermont who exercised for at least 30 minutes a day 3 days a week? group of answer choices unknown 0.6375 0.653 0.622
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.
We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.
To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.
Step 1:
Convert the percentage to a decimal.
65.3 / 100 = 0.653
Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.
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Team Alpha and team Zeta are the finalists in a scholastic quiz. Before the quiz begins, Jamie randomly polls audience members about which team they think will win.
Select the correct probability model that represents the situation.
The probability model that either team Alpha or team Zeta will win is 1/2.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of teams in the quiz = 2
i.e
Team Alpha and team Zeta.
Now,
The probability that team Alpha will win.
= 1/2
The probability that team Zeta will win.
= 1/2
Thus,
The probability model that one team will win is 1/2.
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Fill in the table using this function rule.
y = 3 + 5x
X
1
1
3
0
4
5
Answer:
1=8
1=8
3=18
0=0
4=23
5=28
please mark the brainliest
the sum of the squared deviation scores is ss = 20 for a population of n = 5 scores. what is the variance for this population? group of answer choices 4 5 80 100
The variance for this population is 5.Hence, the correct option is 5.
Given that, the sum of the squared deviation scores is ss = 20 for a population of n = 5 scores. Now we have to find the variance for this population.
Variances can be found using the formula: variance = s^2 = SS / (n - 1)Here, SS = 20n = 5 We have to substitute the given values into the variance formula, which gives us: s^2 = 20 / (5 - 1)s^2 = 20 / 4s^2 = 5.
So, the variance for this population is 5. Hence, the correct option is 5.
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س 17 / 2.5 درجة For reduce the answer to decimals with 4 digits, we use
To reduce the answer to decimals with four digits, we use both the `format function` and the `round function` in Python. In the given expression س 17 / 2.5 درجة, we need to divide 17 by 2.5 and then reduce it to decimals with four digits. The steps below are used in Python to reduce the answer to decimals with four digits. Step 1: We start by evaluating the expression using Python. For this, we use the division operator `/`. س 17 / 2.5 درجة evaluates to 6.8, which is the division of 17 by 2.5. To assign this value to a variable, we can write the following code: `result = 17 / 2.5`Step 2: We then use the `format function` to reduce the number of decimal places in the result to four. The `format function` is used as follows:'result = "{:.4f}".format(result)`The `:.4f` part in the above code specifies that we want to format the result with four decimal places. Step 3: Finally, we use the `round function` to ensure that the last digit in the result is rounded up if it is greater than or equal to five. The `round function` is used as follows:'result = round(float(result), 4)`The second argument of the `round function` specifies that we want to round the result to four decimal places. The `float` function is used to convert the result from a string to a float data type. Therefore, the answer to the given question "س 17 / 2.5 درجة To reduce the answer to decimals with 4 digits, we use" "Both the format function and the round function".
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Do you know the answer~?
then please help me!!!!!!!!!!!!!!
The amount of Chemical B needed is 1.6 g.
what is graph?This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.
The quantity of Chemical B is plotted against the quantity of Chemical A.
Chemical B is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.
Therefore, on the graph, the line passing through the origin of the graph shows that when 1.4 g of Chemical A is used 1.6 g of Chemical B is needed.
Calculations:Chemical B is plotted on the vertical axis using the scale of 1 cm to represent 2 units.
To get the amount of Chemical B is on vertical axis = 2 grams
5 boxes
=0.4 g
Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).
To get the amount of Chemical B is on vertical axis = amount of Chemical B per box * the number of line (boxes).
To get the amount of Chemical B is on vertical axis = 0.4 g * 4 lines (boxes)
= 1.6 g
Hence The amount of Chemical B needed is 1.6 g.
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A design team for an electric car company finds that under some conditions the suspension system of the car performs in a way that produces unsatisfactory bouncing of the car. When they perform measurements of the vertical position of the car y as a function of time t under these conditions, they find that it is described by the relationship: y(t) = yoe-at cos(wt) where yo = 0.75 m, a = 0.95s-1, and w= 6.3s-1. In order to find the vertical velocity of the car as a function of time we will need to evaluate the dy derivative of the vertical position with respect to time, or dt As a first step, which of the following is an appropriate way to express the function y(t) as a product of two functions? ► View Available Hint(s) -at = -at O y(t) = f(t) · g(t), where f(t) = yoe cos and g(t) wt. y(t) = f(t) · g(t), where f(t) = yoe and g(t) = cos(wt). O y(t) = f(t)·g(t), where f(t) = yoe cos(wt) and g(t) = -at. O y(t) cannot be expressed as a product of two functions. Part B Since y(t) can be expressed as a product of two functions, y(t) = f(t)·g(t) where f(t) = yoe -at and g(t) = cos(wt), we can use the product rule of differentiation to evaluate dy However, to do this we need to find the derivatives of f(t) and g(t). Use the chain rule of differentiation to find the derivative with respect to t of f(t) = yoeat. dt . ► View Available Hint(s) Yoe at - at -ayoe df dt YO -at a 0 (since yo is a constant) -atyoe-at Part C Use the chain rule of differentiation to find the derivative with respect to t of g(t) = cos(wt). ► View Available Hint(s) 0 -wsin(wt) dg dt = – sin(wt) ООО w cos(wt) -wt sin(wt) Part D Use the results from Parts B and C in the product rule of differentiation to find a simplified expression for the vertical velocity of the car, vy(t) = dy dt ► View Available Hint(s) yoe-at (cos(wt) + aw cos(wt)) awyo-e-2at cos(wt) sin(wt) vy(t) dy dt 2-2at -ayo?e - w cos(wt) sin(wt) -yoe-at (a cos(wt) + wsin(wt)) Part E Evaluate the numerical value of the vertical velocity of the car at time t = 0.25 s using the expression from Part D, where yo = 0.75 m, a = 0.95 s-1, and w = 6.3 s-1. ► View Available Hint(s) o μΑ ? vy(0.25 s) = Value Units Submit Previous Answers
The vertical velocity of the car at time t = 0.25 s is -1.17 m/s.
y(t) = yoe-at cos(wt)
where yo = 0.75 m,
a = 0.95s-1, and
w= 6.3s-1
To express y(t) as a product of two functions, we have:
y(t) = f(t)·g(t),
where f(t) = yoe-at and
g(t) = cos(wt).
Part B- To find the derivative with respect to t of f(t) = yoeat, we have:
df/dt = [d/dt] [yoeat]
Now, applying the chain rule of differentiation, we get:
df/dt = yoeat (-a)
Thus, the derivative with respect to t of
f(t) = yoeat is given by
df/dt = yoeat (-a)
= -ayoeat.
Therefore, option -at = -at is correct.
Part C- To find the derivative with respect to t of g(t) = cos(wt), we have:
dg/dt = [d/dt] [cos(wt)]
Now, applying the chain rule of differentiation, we get:
dg/dt = -sin(wt) [d/dt] [wt]dg/dt
= -w sin(wt)
Thus, the derivative with respect to t of g(t) = cos(wt) is given by
dg/dt = -w sin(wt)
= -wsin(wt).
Therefore, the correct option is -wsin(wt).
Part D- We know that vy(t) = dy/dt. Using product rule, we get:
dy/dt = [d/dt][yoe-at] [cos(wt)] + [d/dt] [yoe-at] [-sin(wt)]dy/dt
= -ayoe-at [cos(wt)] + yoe-at [-w sin(wt)]
Therefore, the expression for the vertical velocity of the car is
vy(t) = -ayoe-at [cos(wt)] + yoe-at [-w sin(wt)]
Part E- We have to evaluate the numerical value of the vertical velocity of the car at time t = 0.25 s using the expression from Part D.
Substituting the given values, we get:
vy(0.25 s) = -0.95 [0.75] [cos(1.575)] + [0.75] [-6.3 sin(1.575)]vy(0.25 s)
= -1.17 m/s
Thus, the vertical velocity of the car at time t = 0.25 s is -1.17 m/s.
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7. Consider a line containing the points (0,14) and (2, -8). What is the slope of any line
perpendicular
to it?
Answer:
a= (0,14) (2,-8)
Step-by-step explanation:
The table shows the time Mario worked and the
amount of money he earned during two different
weeks. Based on the information in the table,
how much will Mario earn if he works 13 hours in
a week?
Answer:
$120.25
Step-by-step explanation:
How much Mario would earn in 13 hours = 13 x amount earned in an hour
Amount earned in an hour = total amount earned / total hours
83.25 / 9 = 9.25
111/ 12 = 9.25
9.25 x 13 = 120.25
the mean radius of the earth is 6.37 x 10^6 meters, while the mean radius of the moon is 1.74 x 10^6 meters. approximately how many times larger is the diameter of the earth than the diameter of the moon?
The diameter of the earth is 3.66 times larger than the diameter of the moon.
The mean radius of the earth is 6.37 x 10^6 meters,
Re = 6.37 x 10^6 meters
The mean radius of the moon is 1.74 x 10^6 meters.
Rm = 1.74 x 10^6 meters
To compare the size of the diameter,
D = De/Dm = 6.37 x 10^6 / 1.74 x 10^6
Diameter of the earth is 3.66 times larger than the diameter of the moon.
In geometry, a circle's diameter is any straight line segment whose centre is on the circle and whose ends are on the circle. The longest chord of the circle is another name for it. Either of the two approaches can be used to determine the diameter of a sphere.
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graphing lines and killing zombies
Graph the equations on a graph and pick which zombie the arrow points to. then write down each one starting from 1 to 12.
The order of points is:
1. -33 5. -55 9. 2.4
2. -23 6. -2.6 10. 7.6
3. -11.5 7. -2.5 11. 9.3
4. -10 8. 2.33 12. 10.6
Given,
The equations:
1. y = (-2/3) × -16 = 10.66
2. y = (1/2) × -23 = -11.5
3. y = (3/2) × -22 = -33
4. y = (4/3) × -2 = -2.66
5. y = (1/3) × 23 = 7.66
6. y = (1/2) × -5 = -2.5
7. y = (-1/4) × 22 = -5.5
8. y = 1 × -23 = -23
9. y = (4/3) × 7 = 9.33
10. y = (1/3) × 7 = 2.33
11. y = -1 × 10 = -10
12. y = (-2/5) × -6 = 2.4
We have to order this from 1 to 12. That is ascending order:
Here is the equations:
1. y = (3/2) × -22 = -33
2. y = 1 × -23 = -23
3. y = (1/2) × -23 = -11.5
4. y = -1 × 10 = -10
5. y = (-1/4) × 22 = -5.5
6. y = (4/3) × -2 = -2.66
7. y = (1/2) × -5 = -2.5
8. y = (1/3) × 7 = 2.33
9. y = (-2/5) × -6 = 2.4
10. y = (1/3) × 23 = 7.66
11. y = (4/3) × 7 = 9.33
12. y = (-2/3) × -16 = 10.66
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Look at the picture of the graph below, select all the answers
that apply to the graph.
If you were constructing a 99% confidence interval of the population mean based on a sample of n=30 where the standard deviation of the sample S=0.05, the critical value of t will be 2.7564 2.4922 2.7969
The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.
A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.
The formula for calculating the confidence interval for the population mean is:
Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)
Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.
Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.
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when two lines intersect they form two pairs of vertical angles if the measure of <1 is 60° what is the measure of <2?
Let's remember the definition of Vertical angles.
Vertical angles are defined as those pairs of angles formed when two lines intersect each other. They are non-adjacent angles and they are congruent (which means that their measures are equal). Vertical angles also share the same vertex.
For this case, you can see two lines that intersect this
Write the inequality in words.
3n < 52
the inequality 3n<52 is written in words as 3n is less than 52
Answer:
Step-by-step explanation:
Three times a number n is less than 52.
Which expression is equivalent to (1/16)^-4
Answer: =65536
Step-by-step explanation: hope this help
Answer: There are a few but: (-16)^4 is my first anwser.
Step-by-step explanation:
If you have a negative number in the parathesis you'll usually make it 1 over the number in this case 1/16 can be written as -16. That way the negative 4 can become positive four once you change the 1/16 to -16.
I hope that makes sense.
3 x [ 32 = ( 4 + 4 ) x 6 Pls HELP ME ITS ALMOST DONE
Answer:
-192
Step-by-step explanation:
3×[32-(4×4)×6]
3×[32-(16)×6]
3×[32-(96)]
3×(-64)
-192
Can someone pls help me how to determine a function in a chart?
The following is a function or not
1) (x,y) : (9,1), (7,2), (5,2), (3,3), (1,4) is a function
2) (x, y): (5,4), (3,10), (1,16), (3,8), (-1,6) is not a function
What is Function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
One-to-one, one-to-many, many-to-one, and many-to-many relations are the four types of relationships we can encounter.
One-to-one: Each unique y-value has a corresponding x-value.
One-to-many: Multiple y values are associated with a single x value.
Many-to-one: The same y value is shared by many x values.
Many-to-many: Numerous x values match numerous y values.
1) (x,y) : (9,1), (7,2), (5,2), (3,3), (1,4)
In this, Each input only has one output. However, many inputs have the same output. So, this is a many-to-one function.
Hence, (x,y) : (9,1), (7,2), (5,2), (3,3), (1,4) is a function
2) (x, y): (5,4), (3,10), (1,16), (3,8), (-1,6)
In this, Here, our input of 3 results in one of two outputs, either y = 10 or y= 8.
It's not a function, this. It is still a relation, though.
Hence, (x, y): (5,4), (3,10), (1,16), (3,8), (-1,6) is not a function
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there is no prior information about the proportion of americans who support gun control in 2018. if we want to estimate 95% confidence interval for the true proportion of americans who support gun control in 2018 with a 0.36 margin of error, how many randomly selected americans must be surveyed? answer: (round up your answer to nearest whole number)
Answer:
Step-by-step explanation:
To estimate the required sample size for estimating the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36, we need to use the formula:
n = (Z^2 * p * (1 - p)) / E^2
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)
p = estimated proportion (since we have no prior information, we can use p = 0.5, which gives the maximum sample size required)
E = margin of error
Substituting the values into the formula:
n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.36^2
n = (3.8416 * 0.25) / 0.1296
n ≈ 9.6042 / 0.1296
n ≈ 74.0842
Rounding up to the nearest whole number, the required sample size is approximately 75. Therefore, you would need to survey at least 75 randomly selected Americans to estimate the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36.
how can an analyst identify appropriate sample distributions and test to ensure that these distributions match the data generating proces
The appropriate sample distribution, and testing the chosen distribution to ensure that it accurately reflects the data generating process.
An analyst can identify appropriate sample distributions by first understanding the data generating process and the characteristics of the data. This includes understanding the type of data (e.g. categorical or numerical), the distribution of the data (e.g. normal or skewed), and any underlying relationships between variables.
Once the analyst has a good understanding of the data generating process, they can then choose the appropriate sample distribution that best matches the data. This can be done through visual inspection of the data, as well as through statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test. These tests can help the analyst determine if the chosen sample distribution is a good fit for the data.
It is also important for the analyst to test the chosen sample distribution to ensure that it accurately reflects the data generating process. This can be done through simulation studies, where the analyst generates data from the chosen sample distribution and compares it to the original data. If the simulated data closely matches the original data, then the analyst can be confident that the chosen sample distribution is appropriate.
In summary, an analyst can identify appropriate sample distributions by understanding the data generating process, choosing the appropriate sample distribution, and testing the chosen distribution to ensure that it accurately reflects the data generating process.
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Find the area of the figure.
Answer:
Step-by-step explanation:
306 is the answer
P.S i am emo
Answer:
138
Step-by-step explanation:
The process cannot be given in large and medium calculations.
A cooking store owner randomly samples 100 customers, asking what their favorite food is. This table shows the results.
Tacos
28
Pizza
customers
18
The store owner expects 650 customers next weekend.
Based on the sample, how many of these customers prefer salad?
Enter your answer in the box
Steak
26
Salad
28
a cooking store owner random 100 coustmer asking their favourite foo 28 liked tacos 54
Fill in the blank: so far as we know, the first person wo claimed that natural phenomena could be described by mathematics was ____
Thales of Miletus is believed to be the first person who claimed that natural phenomena could be described by mathematics.
Thales of Miletus was a Greek philosopher, mathematician, and astronomer who lived around 624 BCE to 546 BCE. He is widely regarded as one of the Seven Sages of Greece and is known for his contributions to various fields, including geometry, astronomy, and philosophy.
Thales believed that everything in the universe could be explained by natural causes rather than the actions of gods or other supernatural forces. He also believed that these natural phenomena could be described mathematically. For example, Thales was able to predict an eclipse of the sun using his knowledge of geometry and astronomy.
Therefore, Thales of Miletus is often regarded as the first scientist in history because of his emphasis on using reason and evidence to explain the natural world.
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Complete the inequality so that it represents the whole-number values that side a could be to create a triangle.
13 is the inequality so that it represents the whole-number values.
What is Triangle Inequality Theorem?
Triangle inequality, in Euclidean figure, theorem that the sum of any two sides of a triangle is lesser than or equal to the third side; in symbols, a b ≥ c. In substance, the theorem states that the shortest distance between two points is a straight line.
the Triangle Inequality Theorem, which states that
the sum of the lengths of two sides of a triangle must always be greater than the length of the third side
a = c + b
= 7 + 6
= 13
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what shape cannot be a rectangle
pentagon for sure based on the options
What is the solution to this inequality?
x/12 + 3 < 7
OA. x≤ 48
OB. x≤ 81
OC. x ≥ 48
O D. x≥ 81
x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry
A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted
Answer:
Step-by-step explanation:
P=2K
50K+75P=1200, using P from above makes this equation become
50K+75(2K)=1200
50K+150K=1200
200K=1200
K=6, since P=2K
P=2(6)=12
So 12 puppies and 6 kittens were adopted.