Answer:
1. 7
2. -3
4. -4/6
Step-by-step explanation:
i solved using y2-y1/x2-x1
Answer:
1. slope= 7
2. slope= -3
3. slope= -2/3
Step-by-step explanation
you find slope by doing rise over run (how much you have to go up/down and left/right to get to the next point.
for the first one, to get from the bottom point to the top point, you have to rise 7, and go to the right 1, which makes 7/1, simplified to 1.
for the second one, you go to rise 6, and then go to the left 2, which makes 6/-2, it is negative because when you have to go left, it just means a negative slope. this simplifies to -3
for the third one, you rise 4 and go to the left 6 from the bottom point to the top point. this makes 4/-6, simplifies to -2/3/
hope this help, i'm not the best explainer though, sorry :(
Which of the following terms describe the relationship between the number of notes and each syllable of a text and which do not?
-syllabic
-melismatic
-neumatic
The terms syllabic, melismatic, and neumatic are all related to the number of notes in relation to each syllable of a text. Syllabic means that each syllable of the text is sung to one note.
This is the simplest type of setting for text to music. In contrast, melismatic means that each syllable of the text is sung to many notes, creating a more intricate and ornamental melody. Neumatic is somewhere in between syllabic and melismatic, where each syllable is sung to a few notes, but not as many as in a melismatic setting.
Syllabic, melismatic, and neumatic all describe the relationship between the number of notes and each syllable of a text.
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The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b). True False
The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.
In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.
To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].
Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).
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I thought of a number, this number doubled is 9 more than the number itself. what is my number?
Possible answer: 9
Step-by-step explanation:
9 doubled is 18, and that is 9 more than the original number itself.
Unless I'm wrong.
please help me guys I need your help
identify whether the figure labelled below is a triangle or quadrilateral
for example:
A.triangle
that's what I know
Answer:
A. triangle, B. quadrilateral, C. triangle, D. quadrilateral, E. quadrilateral, F. triangle, G. triangle, H. quadrilateral, I. triangle, J. triangle
Step-by-step explanation:
triangles have 3 sides, quadrilaterals have 4 sides
Answer:
A-Triangle
B- Quadrilateral
C- Triangle
D- Quadrilateral
E- Quadrilateral
F-Triangle
G-Triangle
H-Quadrilateral
I- Triangle
J-Triangle
Step-by-step explanation:
If it has 3 sides it’s a triangle, if it has 4 it’s a quadrilateral.
A 10-ft chain weighs 25 lb and hangs from a ceiling. Find the work done in lifting the lower end of the chain to the ceiling so that it's level with the upper end. --->> I know that this is simple integration, im just having a hard time coming up with my function that i need to integrate. If someone could explain clearly a good process for finding f(x) that would be great.
The work done in lifting the lower end of the chain to the ceiling is 833.33 ft·lb.
To find the work done in lifting the lower end of the chain to the ceiling, we can use the concept of work as the integral of force over a displacement.
Let's consider a small segment of the chain of length dx at a distance x from the lower end. The weight of this small segment can be approximated as the weight of a point mass located at its midpoint, which is x/2 ft from the lower end. The weight of this small segment is then (25 lb/10 ft) * (x/2 ft) = (5/2) * x lb.
To calculate the work done in lifting this small segment, we need to multiply the weight by the distance it is lifted. The distance lifted is simply x ft.
So, the work done in lifting this small segment is (5/2) * x lb * x ft = (5/2) * x^2 ft·lb.
To find the total work done in lifting the entire chain, we need to sum up the work done for all the small segments. We can express this as an integral:
W = ∫[0, 10] (5/2) * x^2 dx
Integrating this expression:
W = (5/2) * (x^3/3) |[0, 10]
W = (5/2) * (10^3/3) - (5/2) * (0^3/3)
W = (5/2) * (1000/3)
W = (5000/6) ft·lb =833.33
Therefore, the work done in lifting the lower end of the chain to the ceiling is 833.33 ft·lb.
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Urgent Help please: My neighbor just got two new cats and now she has more than 5 cats. How many cats did she have before?
Answer:
Wouldn't she have had 5 cats before? Adding 2 other cats would make it 7, which fits the "more than 5 cats" requirement.
What is an equation of the line that passes through the points (4,-8) and (-4,2)
Answer:
-1.25
Step-by-step explanation:
Equation: y = -1.25x - 3.
67) At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival is
A) 2 minutes.
B) 4 minutes.
C) 6 minutes.
D) 8 minutes.
E) 10 minutes.
E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.
To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.
In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).
Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.
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Consider the system of equations: y=3x & y=3x+12. How many solutions does the system have?
A) One Solution
B) No Solution
C) infinite Solutions
PLS HELP 6TH GRADE MATH DUE IN 1 MIN
Answer:
second one is also done.
Find values of a, b, and c such that the system of linear equations has exactly one solution, an infinite number of solution and no solution.
x + 5y + z = 0
x + 6y - z = 0
2x + ay +bz = c
The values of a, b and c such that the solutions of the systems of linear equations are the same is a, b and c are -1, -1 and c -1
What is linear equation?A linear equation is an algebraic equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.23 The standard form of a linear equation in one variable is of the form Ax + B = 0, where x is a variable, A is a coefficient, and B is a constant.
the equations are
x + 5y + z = 0
x + 6y - z = 0
2x + ay +bz = c
Equating equations 1 and 2 to have
x + 5y + z = x + 6y - z
x-x +5y-6y +z +z = 0
= -y + 2z = 0
Let equation 2 = equation 3
x + 6y - z = 2x + ay +bz - c=0
x-2x +6y -ay -z -bz -c
-x+y(6-a) -z(1-b) = 0
The values of a, b and c are -1, -1 and c -1
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someone help me
asap please and ty
Answer:
16
Step-by-step explanation:
This is a piecewise function, so for h(6) use 3x-2 because 6≠0 and 6≠7.
h(6) = 3(6) - 2 = 16
Describe the event as impossible, unlikely, equally likely, likely, or certain.
The probability of tossing a 6-sided number cube and rolling a number less than 1 _________.
Answer:
impossible
Step-by-step explanation:
I would say impossible
what is the current in the secondary coil as compared to the primary coil? assume 100% efficiency.
Assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.
The current in the secondary coil is dependent on the voltage ratio of the primary and secondary coils. If the voltage ratio of the coils is the same as the turns ratio, then the current in the secondary coil will be identical to that in the primary coil. Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.
The current in the secondary coil is determined by the voltage ratio of the primary and secondary coils. The voltage ratio is equal to the turns ratio, which is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. In an ideal transformer with 100% efficiency, the power output in the secondary coil will be equal to the power input in the primary coil. Since power is equal to voltage multiplied by current, and the voltage ratio is equal to the turns ratio, the current in the secondary coil will be the same as the current in the primary coil.
Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.
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\(y+\frac{4}{5} =1\frac{2}{5}\)
3,649 times 7=? (use the distributive property)
Answer: 63,343
Step-by-step explanation:
3,649 = 3,000 + 600 + 40 + 9
Now, the multiplication:
( 3,000 + 600 + 40 + 9 ) * 7
21,000 + 42,000 + 280 + 63
Making the sum:
63,343
wich of these is equivalent to
\( {4}^{3} \)
Write down the statement for the expression 5x-10
Answer fast
Answer:
5(x-2)
Step-by-step explanation:
hereeeeee it is for the answer
Active
Instruction
Finding the Square Root of a Perfect Square
Which statements about square roots are true? Check all that apply.
The square root of a positive number cannot be negative.
All positive numbers have two square roots.
0 18 = 9 because 9(2) = 18.
49 = 7 because 7(7) = 49.
25 = 5 because 52= 25.
Answer:
Step-by-step explanation:
The square root of a positive number cannot be negative. False. There are two square roots, one positive and one negative.
All positive numbers have two square roots. True. See above.
0 18 = 9 because 9(2) = 18. Unable to answer; "0 81" is invalid. Note that
√81 = ±9
49 = 7 because 7(7) = 49. Invalid statement. 49 never equals 7. Perhaps you meant √49 = ±7
25 = 5 because 52= 25. Invalid statement. Perhaps you meant √25 = ±5.
Please, before you do any more square root problems, learn how to type the " √ " symbol or equivalent, such as "sqrt( "
The height of the ball (y) depending on time (x) is given by the following nonlinear function: y = -2x^2 + 7x. How high is the ball 1.5s after being kicked?
Answer:
height = 6
Step-by-step explanation:
substitute x = 1.5 into the function
y = - 2(1.5)² + 7(1.5) = - 2(2.25) + 10.5 = - 4.5 + 10.5 = 6
Is 4/5 : 1/10 equivalent to 1/5 : 1/40
Answer:
yes
.............................
Answer:
yesStep-by-step explanation:
Is 4/5 : 1/10 equivalent to 1/5 : 1/40
4/5 : 1/10 =
4/5 * 10 =
4 * 2 =
8
1/5 : 1/40 =
1/5 * 40 =
40 : 5 = 8
In constructing a 95 percent confidence interval, if you increase n to 4n, the width of your confidence interval will (assuming other things remain the same) be:
In constructing a 95 percent confidence interval, if you increase n to 4n, the width of your confidence interval will be reduced by a factor of approximately 1/2, assuming other things remain the same.What is a confidence interval?A confidence interval is a range of values that is likely to contain an unknown population parameter with a certain degree of confidence.
It is frequently used to indicate the accuracy of the estimate. A 95% confidence interval for a population parameter, for example, is a range of values within which we can be 95% confident that the true population parameter falls. Therefore, when you double the sample size, the t value decreases, resulting in a narrower interval. Increasing the sample size four times reduces the width of the confidence interval by a factor of approximately 1/2.
The length of the confidence interval is proportional to the standard error, which is inversely proportional to the square root of the sample size. As a result, increasing the sample size lowers the standard error, which in turn results in a narrower confidence interval.
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What is the greatest common factor of 4 and 16?
The greatest common factor of 4 and 16 is 4.
To find the greatest common factor (GCF) of 4 and 16, we need to find the largest number that divides evenly into both 4 and 16.
One way to find the GCF is to list the factors of each number and then identify the largest factor that they have in common. The factors of 4 are 1, 2, and 4, while the factors of 16 are 1, 2, 4, 8, and 16. The largest factor that both 4 and 16 share is 4.
Another method to find the GCF is to use prime factorization. We can express 4 and 16 as products of primes:
4 = 2 x 2
16 = 2 x 2 x 2 x 2
The common factors of 4 and 16 are the prime factors that they share, which are 2 and 2. To find the GCF, we multiply these common factors together:
GCF(4, 16) = 2 x 2 = 4
Therefore, the greatest common factor of 4 and 16 is 4.
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y=x+5
4x+y=20
show work
Answer:
(3,8)
Step-by-step explanation:
Step-by-step explanation:
put value of y in equation 2
4x + (x + 5) =20
open the brackets
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/3
x = 5
putting value of x in y we get
y = 10
GOOD LUCK FOR THE FUTURE! :)
The sum of the deviation of the individual data elements from their mean is always_________.
a. equal to xero
b. equal to one
c. negative
d. positive
The sum of the deviations of the individual data elements from their mean is always equal to zero. Correct option is A.
This is because the deviation is defined as the difference between each data point and the mean of all the data points.
Since the mean is calculated as the sum of all the data points divided by the total number of data points, the positive deviations from the mean must be balanced out by the negative deviations from the mean. In other words, for every data point that is above the mean, there is a corresponding data point that is below the mean.
When we add up all the deviations from the mean, the positive deviations will cancel out the negative deviations, resulting in a sum of zero. This property of the sum of deviations from the mean is fundamental to many statistical concepts, such as variance and standard deviation.
Therefore, the correct answer to the question is (a) equal to zero, since the sum of the deviations from the mean is always zero.
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3.7 - 1.8 - 3.67 + 4.4 - 1.34
Answer:
1.29
Step-by-step explanation:
It's a multiple choice question
In 3rd part, option (c) is not a function. In the 4th part, option (b) is not a function. In the 5th part, option (d) is the parent function for the given y.
For 3rd part,
We have to identify that which relation is not a function. A relation is said to be a function if all the elements of one set have a unique image in another set. In our question, as we can see in option (c), element 1 is connected to 2 elements which are 1 and -1. Element 4 is also connected to two elements which are 2 and -1. Therefore, it is not a function. All the other options are functions as each element has a unique image.
For 4th part,
If we observe option (a), we will get one value of y on equating x to any value. In option (b), y = \(\pm\sqrt{36 - x^{2}}\), if we equate x to something, we will get two values of y. In options (c) and (d) also, we will get a unique value of y. Therefore, option (b) is not a function as we do not get a unique image for y.
For 5th part,
y = \(3\sqrt{x - 2} + 7\)
To identify the parent function, we strip away all the arithmetic values to leave behind one higher-order operation on just x. Therefore, we will first strip away 3 which is a multiple, and 7 which is being added. Then, we will strip away 2. Now, we are left with just one operation on x which is \(\sqrt{x}\). Therefore, option (d) is the parent function for the given function.
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pumpkins at a local farm sell for $0.49 per pound. remi spent $73.50. how many pounds of pumpkins were purchased?
Remi purchased approximately 150 pounds of pumpkins.
To find the number of pounds of pumpkins purchased by Remi, we can divide the total amount spent by the price per pound.
Let's assume that x represents the number of pounds of pumpkins purchased.
The total amount spent, $73.50, can be expressed as the product of the price per pound, $0.49, and the number of pounds purchased, x:
$73.50 = $0.49 × x
To solve for x, we divide both sides of the equation by $0.49:
x = $73.50 / $0.49 ≈ 150
Therefore, Remi purchased approximately 150 pounds of pumpkins.
By dividing the total amount spent by the price per pound, we found the quantity of pumpkins purchased.
In this case, Remi spent $73.50 and the price per pound was $0.49, resulting in the purchase of approximately 150 pounds of pumpkins. This information can be useful for budgeting, inventory management, and understanding consumer behavior at the local farm.
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Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep
Answer:
0.64, she spent 64% of her money.
Step-by-step explanation:
What is the slope of the line that contains the points (-3,-1) and (3,3)?
A. Undefined
B. 0
C. 2/3
D. 3/2
Answer:
C. 2/3
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
Points (-3,-1) and (3,3)
We see the y increase by 4 and the x increase by 6, so the slope is
m = 4/6 = 2/3
So, the answer is C. 2/3