Answer:
B
Step-by-step explanation:
Right square pyramid
Solve for lateral surface area
AL≈148.43
a Base edge
6
h Height
12
list 3 ordered pairs that make a horizontal line and their slope
Answer:
ordered pairs: (3,0) (6,0) (9,0)
slope : 0
Step-by-step explanation:
Hey There!
So if you graph a line that has a horizontal line then the slope is going to be 0
If you look at the graph i put an example with three points
Answer:
Answer
5.0/5
Step-by-step explanation:
* Ono 3 b) P and are the subsets of universal set U. If n (p) = 55% n (Q) = 50% and n(PUO)complement = 15% find: (i) n(PUQ) (ii) n(PDQ) (iii)n(only P) iv. n(only Q).
The probability of the sets are solved and
a) n(P U Q) = 85%
b) n(P ∩ Q) = 20%
c) n(only P) = 35%
d) n(only Q) = 30%
Given data ,
P and are the subsets of universal set U
And , n (p) = 55% n (Q) = 50% and n(PUO)complement = 15%
Now , we'll use the formula for the union and intersection of sets:
n(P U Q) = n(P) + n(Q) - n(P ∩ Q)
n(P ∩ Q) = n(P) + n(Q) - n(P U Q)
n(only P) = n(P) - n(P ∩ Q)
n(only Q) = n(Q) - n(P ∩ Q)
We're given that:
n(P) = 55%
n(Q) = 50%
n(P U Q)' = 15%
To find n(P U Q), we'll use the complement rule:
n(P U Q) = 100% - n(P U Q)'
n(P U Q) = 100% - 15%
n(P U Q) = 85%
Now we can substitute the values into the formulas above:
(i)
n(P U Q) = n(P) + n(Q) - n(P ∩ Q)
n(P ∩ Q) = n(P) + n(Q) - n(P U Q)
n(P ∩ Q) = 55% + 50% - 85%
n(P ∩ Q) = 20%
(ii)
n(P ∩ Q) = 20%
(iii) n(only P) = n(P) - n(P ∩ Q)
n(only P) = 55% - 20%
n(only P) = 35%
(iv)
n(only Q) = n(Q) - n(P ∩ Q)
n(only Q) = 50% - 20%
n(only Q) = 30%
Hence , the probability is solved
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A scientist wishes to evaluate which of the three beverages is absorbed most quickly in the stomach. A group of 60 volunteer subjects comes in to the lab on three different occasions for beverage absorption tests. Type of data: parametric nonparametric Statistical test:
A scientist wants to compare the absorption rates of three beverages in the stomach. A group of 60 volunteer subjects participates in beverage absorption tests on three separate occasions. The type of data is not specified as parametric or nonparametric, and the statistical test depends on the nature of the data and assumptions made.
The scientist aims to assess the absorption rates of three different beverages in the stomach. The group of 60 volunteer subjects participates in the tests on three different occasions, presumably consuming each beverage on a separate occasion.
The type of data is not explicitly mentioned as parametric or nonparametric. Parametric data typically assumes a specific distribution and satisfies certain assumptions, while nonparametric data does not rely on these assumptions. The choice of statistical test will depend on the type of data and assumptions made.
If the data is parametric and assumptions like normality and equal variances are met, an analysis of variance (ANOVA) can be used to compare the means of the three beverages. Post-hoc tests such as Tukey's HSD or Bonferroni correction may be employed to identify specific differences between pairs of beverages.
If the data is nonparametric or the assumptions for parametric tests are not met, a nonparametric test like the Kruskal-Wallis test can be used to compare the median absorption rates of the three beverages. Pairwise comparisons can be performed using nonparametric tests such as the Mann-Whitney U test.
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What is –9.2(8x – 4) + 0.7(2 + 6.3x) simplified?
–69.19x – 32.39
–69.19x + 38.2
–72.2x + 41.21
75x – 338.2
Answer:
-69.19x + 38.2
Step-by-step explanation:
–9.2(8x – 4) + 0.7(2 + 6.3x)
-73.6x + 36.8 + 1.4 + 4.41x
-69.19x + 38.2
Hope this helps.
Answer:
-69.19x + 38.2
Step-by-step explanation:
PLEASE ANSWER QUICKLY
Answer:
Answers are at the bottom!
Step-by-step explanation:
First answer:The coordinates of the turning point are (-2,-1)
Second answer is (-0.5,5) and (0.5,5)
If i'm wrong please correct me.
Hope this helps!!
Order the measurements from greatest to least. 45 inches, 6 yards, and 2 1/4" feet
The order of measurements from greatest to least is:
2 1/4 feet > 45 inches > 6 yards.
The measurements are given as 45 inches, 6 yards, and 2 1/4 feet.
First, we need to convert all the measurements to the same unit.
6 yards = 18 feet
2 1/2 feet = 30 inches
So, the three measurements are:
45 inches, 18 feet, 30 inches
Converting everything to inches:
45 inches, 18 feet = 216 inches, 30 inches
Ordering from greatest to least:
216 inches, 45 inches, 30 inches
Therefore, the order of measurements from greatest to least is:
2 1/4 feet > 45 inches > 6 yards.
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In 2 minutes, a conveyor belt moves 200 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 3 minutes. If both
belts are used, find how long it takes to move the cans to the storage area.
The conveyor belts can move the 200 pounds of recyclable aluminum from the delivery truck to a storage area in minutes
It takes approximately 1.2 minutes to move the cans to the storage area when both conveyor belts are used.
We can begin the problem by using the formula:
work = rate x time
Let's denote the rate of the first belt as R1 and the rate of the second belt as R2. Then, we can write:
R1 = 200 pounds / 2 minutes = 100 pounds per minute
R2 = 200 pounds / 3 minutes ≈ 66.67 pounds per minute
When both belts are used, they work together to move the same 200 pounds of cans. Therefore, we can add their rates to get the total rate:
R = R1 + R2 = 100 + 66.67 = 166.67 pounds per minute
To find the time it takes to move the cans to the storage area, we can rearrange the formula:
time = work / rate
The total work is 200 pounds, so we have:
time = 200 pounds / 166.67 pounds per minute ≈ 1.2 minutes
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Plz Help
Convert to radians
80°
Show your work please
Answer:
1.39626
Step-by-step explanation:
80° × π/180 = 1.396rad
Answer:
4π/9, 0.44444π, or 1.3962634 radians
Step-by-step explanation:
To convert from degrees, to radians, multiply the the degrees times pi over 180 degrees
\(\textdegree *\frac{\pi }{180\textdegree}\)
We want to convert 80 degrees to radians.
\(80 \textdegree *\frac{\pi}{180 \textdegree}\)
The degrees signs cancel.
\(80 *\frac{\pi}{180}\)
\(\frac {80}{1} *\frac{\pi}{180}\)
Move 80 to the numerator.
\(\frac{80 \pi}{180}\)
Simplify 80/180. Both the numerator and denominator can be divided by 20.
\(\frac{(80/20) \pi}{180/20}\)
\(\frac{4 \pi}{9} \approx 0.444444\pi \approx 1.3962634\)
80 degrees is equal to 4π/9 radians, 0.44444π radians, or 1.3962634 radians.
Mike had a photo made into a postage stamp the photo was 7 by 9.5 inches and the stamp was 1.4 by 1.9 inches what is the scale factor of dilation
The answers are
A. The first wrestler
B.the second wrestler
C.they weighed the same
mark spent a total of $12.33 on 9 oranges and a packet of strawberries. if the packet of strawberries costs $2.88 how much did each orange cost
Answer: $1.05 per orange
Step-by-step explanation:
12.33 - 2.88 = 9.45
9.45 ÷ 9 = 1.05
Answer with true or false and correct the false? without changii a - The signal X(t) is said an even signal if it satisfied the condition b- Dirac delta function also known as unit step. c- A signal s(t) is a Random signal if s(t)=s(t+nT0) d- Energy signal has infinite energy, while power is zero. e- A discrete-time signal is often identified as a Sequence of numbers, denoted by {s(n)},
The number of True statements is 3 and the number of False statements is 2.
a- The signal X(t) is said an even signal if it satisfied the condition True,
A signal X(t) is said to be an even signal if it satisfies the condition of
X(t) = X(-t).
b- Dirac delta function also known as unit step.
False, The Dirac delta function is not the same as the unit step function.
The unit step function has a constant value, whereas the Dirac delta function has an infinitely large value at zero and is zero everywhere else.
c- A signal s(t) is a Random signal if s(t) = s(t+nT0)
False, A signal s(t) is a periodic signal if s(t)=s(t+nT0) and Random signal is a type of signal that cannot be predicted precisely.
d- Energy signal has infinite energy, while power is zero.
False, The Energy signal has finite energy, while Power signal has non-zero power and The average power of an energy signal is zero.
e- A discrete-time signal is often identified as a Sequence of numbers, denoted by {s(n)}
True, A discrete-time signal is often identified as a Sequence of numbers, denoted by {s(n)}.
So, the number of True statements is 3 and the number of False statements is 2.
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entire regression lines are a collection of mean values of y for different values of x. group of answer choices true false
False. Regression lines are not a collection of mean values of y for different values of x. They represent the best-fit line that minimizes the sum of the squared differences between the observed y-values and the predicted y-values.
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Given that z is a standard normal random variable, compute the following probabilities. calculate P(1
You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).
To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.
The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.
Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:
P(1 < z < 2) = Φ(2) - Φ(1)
To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.
But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).
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Calculate the simple interest on $700 left in account that pays 8% annual interest for 6 years.
See attachment for math work and answer.
Five data collectors were assigned to measure the weights and heights of 30 sixth graders. On the day of data collection, the height and weight measurements were conducted twice on the same child, but taken by a different data collector each time The lead investigator wanted to examine if there were differences in the height and weight measurements collected between data collectors. The investigator was examining the:
a internal consistency
b. test-retest reliability
c. inter-rater reliability
d. intra-rater reliability
c. inter-rater reliability
The investigator in this scenario is examining inter-rater reliability. Inter-rater reliability refers to the consistency and agreement between different raters or observers when measuring the same variables. In this case, multiple data collectors were assigned to measure the weights and heights of the sixth graders, and each collector conducted the measurements twice.
By having different data collectors measure the same variables on the same children, the investigator can assess the level of agreement or consistency between the collectors' measurements. The goal is to determine whether there are significant differences in the measurements obtained by different data collectors.
Inter-rater reliability is important because it allows researchers to evaluate the extent to which different observers obtain consistent results. It helps ensure that the measurements are not influenced by individual biases or inconsistencies among observers. By examining inter-rater reliability, the investigator can assess the overall reliability of the measurements collected in this study.
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how to find the value of a+b+c given that a=4,b=3 and c= -2
Answer: 5
Step-by-step explanation: 4 + 3 + -2 = 5
Need help pleases 5 stars
Answer:
The third option is the correct answer
Step-by-step explanation:
I am a 100% sure.
Hope this helps....
Have a nice day!!!!
Please help, 100 points
If a polynomial has integral coefficients with 3 + i and 1 + \(\sqrt{3}\) as roots, then what other roots must it have?
1. 3 – i
2. \(1 - \sqrt{3}\)
3.\(-1 + \sqrt{3}\)
4.. –3 + i
5. no other roots
The other root of the polynomial is 1 - √3.
What are roots of a polynomial?The roots of a polynomial are the values of the independent variable at which the polynomial is zero.
How to find the root the polynomial must have?If a polynomial has integral coefficients with 3 + i and 1 + √3 as roots, then what other roots must it have? To find the roots it has, we note that the root of a polynomial with a square root in the root also has the conjugate of the square root as a root.
So, since 1 + √3, the conjugate is also a root.
The conjugate is 1 - √3.
So, the other root is 1 - √3.
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The eigenvalues of a matrix A are the same as the eigenvalues of the reduced row echelon form of A.TRUE/FALSE
False, The eigenvalues of a matrix A are not same as the eigenvalues of the reduced row echelon form of A.
A matrix's eigenvalues are not the same as those of the matrix's reduced row echelon form, contrary to what is claimed.
This is due to the fact that when a matrix is reduced to its echelon form via row operations, its eigenvalues may not always stay the same. The eigenvalues of a matrix may be different in the reduced row echelon form than they are in the original matrix as a result.
Think about these matrices as an illustration:
Likewise, B's reduced row echelon form is B, and B's eigenvalues are both 1.
A = [1 2; 2 1]
and
B = [1 0; 0 1].
The eigenvalues of a matrix and its reduced row echelon form are thus typically not the same.
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FALSE. The eigenvalues of a matrix A are NOT the same as the eigenvalues of the reduced row echelon form of A.
Explanation:
Eigenvalues are scalar values that, when multiplied by an eigenvector, produce the same effect as the original matrix A on that eigenvector. Mathematically, for a matrix A and its eigenvector v, Av = λv, where λ is the eigenvalue.
Row echelon form is a matrix transformation using elementary row operations to obtain a triangular form. The reduced row echelon form (RREF) is a further simplified version of the row echelon form.
However, transforming a matrix A to its RREF changes the properties of the matrix, and therefore the eigenvalues of matrix A and its RREF are generally not the same. The eigenvalues are preserved only under specific matrix transformations, such as similarity transformations, which row echelon form is not one of them.
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Let f(x) = 10*(3)^2x - 2 Evaluate f(0) without using a calculator
The value of the function, f(0) without using a calculator is 8.
To find f(a) for a given value a, you simply substitute 'a' in place of x in the expression for f(x).
For example, if f(x) = x^2 + 3x - 1, then f(a) = a^2 + 3a - 1.
If you are given a specific value of a, you can substitute it directly into the expression for f(x) to find f(a). If you are given an interval for a, you can use this to evaluate f(a) at multiple points within the interval.
The function f(x) is given by f(x) = 10*(3)^2x - 2. We are asked to find the value of f(0) without using a calculator.
To do this, we simply need to substitute x = 0 into the expression for f(x).
So,
f(0) = 10*(3)^2(0) - 2
= 10*(1) - 2
= 10 - 2
= 8
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Which value for the constant ccc makes w=5w=5w, equals, 5 an extraneous solution in the following equation? \sqrt{29+4w}=23-cw 29+4w =23−cw
Answer:
c=6
Step-by-step explanation:
In order to solve the original equation, we would have to square both sides of the equation:
\begin{aligned}\sqrt{29+4w}&=23-cw\\\\ \left(\sqrt{29+4w}\right)^2&=(23-cw)^2\\\\ 29+4w&=(23-cw)^2\end{aligned}
29+4w
(
29+4w
)
2
29+4w
=23−cw
=(23−cw)
2
=(23−cw)
2
However, squaring both sides of an equation can create extraneous solutions! [Why?]
Hint #22 / 4
Let's plug \blueD w=\blueD{5}w=5start color #11accd, w, end color #11accd, equals, start color #11accd, 5, end color #11accd into the last equation we obtained:
\begin{aligned}29+4\blueD w&=(23-c\blueD{w})^2\\\\ 29+4(\blueD 5)&=(23-c(\blueD{5}))^2\\\\ 49&=(23-5c)^2\end{aligned}
29+4w
29+4(5)
49
=(23−cw)
2
=(23−c(5))
2
=(23−5c)
2
This equation is correct, both when 23-5c=723−5c=723, minus, 5, c, equals, 7 and when 23-5c=-723−5c=−723, minus, 5, c, equals, minus, 7.
However, the original equation is not correct for 23-5c=-723−5c=−723, minus, 5, c, equals, minus, 7, since this way we obtain \sqrt{49}=-7
49
=−7square root of, 49, end square root, equals, minus, 7.
Hint #33 / 4
Therefore, an extraneous solution is obtained for the ccc-value that makes 23-5c23−5c23, minus, 5, c equal -7−7minus, 7, which is c=6c=6c, equals, 6.
Substituting this back into the original equation gives \sqrt{29+4w}=23-6w
29+4w
=23−6wsquare root of, 29, plus, 4, w, end square root, equals, 23, minus, 6, w. You can now solve this for www and see for yourselves that w=5w=5w, equals, 5 is indeed extraneous.
Hint #44 / 4
The answer is:
c=6c=6
c = 6, makes w = 5 an extraneous solution of the equation √(29 + 4w) = 23 - cw.
What are extraneous solutions?A root of a transformed equation that is not a root of the original equation because it was omitted from the domain of the original equation is referred to as an extraneous solution.
How to solve the question?In the question, we are asked to find the value for the constant c, that makes w = 5, an extraneous solution in the equation:
√(29 + 4w) = 23 - cw.
We first try to solve this equation, by squaring both sides,
29 + 4w = (23 - cw)²,
or, 29 + 4w = 23² - 2(23)(cw) + (cw)²,
or, 29 + 4w = 529 - 46cw + c²w²,
Now, we substitute w = 5, in the above equation to get:
29 + 4(5) = 529 - 46c(5) + c²(5)²,
or, 29 + 20 = 529 - 230c + 25c²,
or, 25c² - 230c + 480 = 0.
Solving this by the quadratic formula, we get:
\(c = \frac{-(-230)\pm \sqrt{(-230)^{2}-4(25)(480)}}{2(25)}\) ,
or, \(c = \frac{230\pm \sqrt{52900-48000}}{50}\) ,
or, \(c = \frac{230\pm \sqrt{4900}}{50}\) ,
or, \(c = \frac{230\pm 70}{50}\) ,
or, c = 300/50 or 160/50,
or, c = 6 or c = 3.2.
Now, we will check these values in the original equation by keeping w = 5.
When c = 6:
√(29 + 4w) = 23 - cw,
or, √(29 + 4(5)) = 23 - (6)(5),
or, √(29 + 20) = 23 - 30,
or, √49 = -7,
or, 7 = -7, which is not true.
Hence, c = 6 makes w = 5 an extraneous solution.
When c = 3.2,
√(29 + 4w) = 23 - cw,
or, √(29 + 4(5)) = 23 - (3.2)(5),
or, √(29 + 20) = 23 - 16,
or, √49 = 7,
or, 7 = 7, which is true.
Hence, c = 3.2 makes w = 5 a proper solution.
Therefore, c = 6, makes w = 5 an extraneous solution of the equation √(29 + 4w) = 23 - cw.
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A large, regular hexagon is drawn on the ground, and a man stands at one of the vertices. The man flips a coin. If the coin lands heads, he walks counterclockwise along the edge of the hexagon until reaching the next nearest vertex. If the coin lands tails, he walks clockwise around the hexagon until reaching another vertex. Once there, he repeats the process. The man flips the coin a total of six times. What is the probability that the man is standing where he started when he is finished
The probability that the man is standing where he started when he is finished is 1/2
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.Given is that a large, regular hexagon is drawn on the ground, and a man stands at one of the vertices. The man flips a coin. If the coin lands heads, he walks counterclockwise along the edge of the hexagon until reaching the next nearest vertex. If the coin lands tails, he walks clockwise around the hexagon until reaching another vertex. The man flips the coin a total of six times.
Now, for either all heads or all tails, the person will land at same place. So, we can write that -
number of favorable outcomes = N{F} = 6
total number of favorable outcomes = N{T} = 12
P{E} = N{F}/N{6}
P{E} = 6/12
P{E] = 1/2
Therefore, the probability that the man is standing where he started when he is finished is 1/2.
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What is the surface area of this right rectangular prism?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
ft²
Answer:
32 1/3
Step-by-step explanation:
Answer:
The answer is \(31\frac{9}{10}\).
Step-by-step explanation:
Make sure to follow this formula
\(2(lw)+(lh)+(wh)\)
\(2(1.3x1.5)+(1.3x5)+(1.5x5) \\= 2(1.95+6.5+7.5)\\=31.9=31\frac{9}{10}\)
The force,
F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.07 Newtons when the distance between the objects is 6 metres.
Work out F (rounded to 2 DP) when d=5.5 metres.
When the distance between the objects is 5.5 meters, the force (F) is approximately 0.0827 Newtons (rounded to 2 decimal places).
According to the given information, the force (F) between two objects is inversely proportional to the square of the distance (d) between them. Mathematically, this can be represented as \(F = k/d^2,\)
where k is the constant of proportionality.
To find the value of k, we can use the given data point where the force is 0.07 Newtons when the distance is 6 meters. Plugging these values into the equation, we get:
\(0.07 = k/6^2\)
Simplifying, we have:
0.07 = k/36
To solve for k, we can multiply both sides of the equation by 36:
\(k = 0.07 \times 36\)
k = 2.52
Now that we have the value of k, we can calculate the force (F) when the distance (d) is 5.5 meters:
\(F = 2.52 / 5.5^2\)
F ≈ 0.0827
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The expression 3(s + 4)2 + 12 models the height of a falling ball after s seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball.
What is the initial height?
A. 12 feet
B. 15 feet
C. 24 feet
D. 60 feet
Answer:A
Step-by-step explanation:
The initial height is 12 feet.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3 (x + 4)² + 12
The constant value = 12
The constant in the simplified form of the expression represents the initial height, in feet, of the ball.
So,
The initial height is 12 feet.
Thus,
Initial height = 12 feet.
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HELLLLLLP!!!!! PLEASE!!!!
Answer: Slope: -1 Y-intercept: -4
Step-by-step explanation:
Slope formula:
\(m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
\(m=\frac{-13 -(-6)}{9-2}= m=\frac{-13 + 6}{9-2}\)
\(m=\frac{-7}{7\\}\)
m = -1
When you draw this on the graph, the y-intercept is -4.
y = -4
what is 900,000 in scientific notation
Answer: 9 • 10⁵
-----------------------------------------------------------------------------------------
determine whether there are any transient terms in the general solution cos(x) dy dx (sin(x))y = 1
The general solution of the given differential equation is
cos(x) y = [y ln|sec(x) + tan(x)| - C] x.
Therefore, we do not have any transient terms in the general solution
cos(x) dy dx (sin(x))y = 1.
Note: A transient solution is a solution of a differential equation that goes to zero as time goes to infinity.
The given differential equation is
cos(x) dy dx (sin(x))y = 1.
Here, the independent variable is x, and the dependent variable is y.To determine whether there are any transient terms in the general solution
cos(x) dy dx (sin(x))y = 1,
we need to find its general solution as follows:Integrating the given differential equation, we have:
∫(sin(x))y dy = ∫sec(x) dx
On integrating the above expression, we get:
(cos(x)/y) + C = ln|sec(x) + tan(x)|
Here, C is the constant of integration.
Now, we can express the general solution of the given differential equation as follows:
cos(x) y = [y ln|sec(x) + tan(x)| - C] x
(multiplying both sides by x)
Therefore, the general solution of the given differential equation is
cos(x) y = [y ln|sec(x) + tan(x)| - C] x.
Therefore, we do not have any transient terms in the general solution
cos(x) dy dx (sin(x))y = 1.
Note: A transient solution is a solution of a differential equation that goes to zero as time goes to infinity.
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the sum of two rational numbers is -8. if one of the is -8/17, find the other. plz help me
Let other one be x
ATQ
\(\\ \sf\longmapsto x+\dfrac{-8}{17}=-8\)
\(\\ \sf\longmapsto\dfrac{17x-8}{17}=-8\)
\(\\ \sf\longmapsto 17x-8=17(-8)=-136\)
\(\\ \sf\longmapsto 17x=-136+8\)
\(\\ \sf\longmapsto 17x=-128\)
\(\\ \sf\longmapsto x=\dfrac{-128}{17}\)
Answer:
- 7 9/17Step-by-step explanation:
The other number is x:
-8/17 + x = -8x = -8 + 8/17x = - 7 9/17