The integral ſ sin(x - 2) dx is transformed into L.9()dt by applying an appropriate change of variable, then g(t) is: 5. g(t) = sin t 2 This option 3 g(0) = -cos) t 2
Answers
The function g(t) is -cos(t), and g(0) = -1. The correct option is g(0) = -cos(t)
To transform the integral ∫ sin(x - 2) dx using an appropriate change of variable, let's set t = x - 2. This implies that dt = dx.
When x = 2, t = 2 - 2 = 0, and when x approaches infinity, t also approaches infinity.
Now we can rewrite the integral as:
∫ sin(t) dt
This integral can be evaluated as follows:
∫ sin(t) dt = -cos(t) + C
Therefore, the integral ſ sin(x - 2) dx, transformed using the appropriate change of variable, becomes:
L.9(t) = -cos(t) + C
Hence, the function g(t) is:
g(t) = -cos(t)
Additionally, we have g(0) = -cos(0) = -1.
Therefore, the correct option is: g(0) = -cos(t).
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Related Questions
An angle measures 112.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Let the measure of the angle be x. Its supplementary angle will be 180° - x. According to the given information, x is 112.2° less than 180° - x. The angle measures 33.9° and its supplementary angle measures 180° - 33.9° = 146.1°.
Let's set up the equation based on the given information. We know that the angle measures 112.2° less than its supplementary angle, so we can write:
x = (180° - x) - 112.2°
Simplifying the equation, we have:
x = 180° - x - 112.2°
Combining like terms, we get:
2x = 180° - 112.2°
Simplifying further, we have:
2x = 67.8°
Dividing both sides of the equation by 2, we find:
x = 33.9°
Thus, the angle measures 33.9° and its supplementary angle measures 180° - 33.9° = 146.1°.
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The two line elements set for the Molniya 1-91 satellite is MOLNIYA 1-91 1 25485U 10001A 00300.78960173.00000175 00000-0 40203-2 0 6131 2 25485 63.1706 206.3462 7044482 281.6461 12.9979 2.00579102 15222 a) what is the orbit type?;
b) find the orbital parameters (a and 0);
c) calculate position and velocity vectors in geocentric equatorial coordinate frame.
Answers
The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.
a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.
b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.
c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.
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the function has a critical point at . what is the value of the hessian matrix at this critical point? what type of critical point is it? ? g
Answers
To determine whether a critical point is a local minimum, maximum, or saddle point, one can find the Hessian matrix of the function at that point and analyze its eigenvalues.
To determine the critical point of a function, one needs to find the values of its independent variables that make the gradient zero. The Hessian matrix is the matrix of second-order partial derivatives of a function, and it can help determine the nature of a critical point.
Given a function, if the Hessian matrix evaluated at a critical point has all positive eigenvalues, then the function has a local minimum at that point. If the Hessian matrix has all negative eigenvalues, the function has a local maximum at that point. If the Hessian matrix has a mix of positive and negative eigenvalues, then the point is a saddle point. If the Hessian matrix has some zero eigenvalues, then the test is inconclusive and higher-order derivatives must be examined.
It is possible to find the Hessian matrix for any given function and evaluate it at a critical point to determine its nature. By analyzing the eigenvalues of the Hessian matrix, one can identify whether the critical point is a local minimum, maximum, or saddle point.
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Complete question:
At which critical point does the function have a Hessian matrix, and what is the value of the matrix at this point? What type of critical point is this?
thirty students at eastside high school took the sat on the same saturday. their raw scores are given next. 1,450 1,620 1,800 1,740 1,650 1,710 1,900 1,910 1,950 1,820 1,800 2,010 1,780 1,840 1,490 1,590 2,350 2,260 1,870 1,530 1,620 1,480 2,390 1,640 1,830 1,950 2,000 1,830 1,980 2,100 picture click here for the excel data file consider a frequency distribution of the data that groups the data in classes of 1,400 up to 1,600, 1,600 up to 1,800, 1,800 up to 2,000, and so on. how many students scored at least 1,800 but less than 2,000?
Answers
The frequency of scores falling into this interval is 11. Therefore, 11 students scored at least 1,800 but less than 2,000.
A frequency distribution is a way to organize and present data by grouping it into intervals or classes and showing how many observations fall into each interval.
In this case, the data given represents the raw scores of thirty students who took the SAT on the same Saturday.
To create a frequency distribution, we can group the data into classes of 1,400 up to 1,600, 1,600 up to 1,800, 1,800 up to 2,000, and so on.
To create this frequency distribution, we can use the Excel data file provided and create a histogram. The histogram will show the frequency of scores falling into each class or interval.
The interval 1,800 up to 2,000 will contain the scores 1,800, 1,810, 1,820, 1,830, 1,840, 1,870, 1,900, 1,910, 1,950, 1,950, 1,980, and 2,000.
To find how many students scored at least 1,800 but less than 2,000, we need to add up the frequencies in this interval.
In conclusion, creating a frequency distribution helps to organize and summarize data. By grouping the data into intervals or classes, we can better understand the distribution of the data and answer questions related to it.
In this case, we were able to determine how many students scored at least 1,800 but less than 2,000 by using the frequency distribution created.
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On january 14, edamame industries purchased supplies of $700 on account. the entry to record the purchase will include?
Answers
The entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable
What are supplies?Supplies are the small items, used in the company's overall operation. Supplies used during the period will be reported as supplies expense and the unused supplies will be reported in the balance sheet as an asset.Now, given: Purchased supplies = $500 (on account).
To find: What does entry to record the purchase include?
Now,
The supply asset will grow, which will cause a debit to be applied to it. It is believed to have been purchased on account, which increased (credited) the account for payments due.Hence, the entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable.
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Please answer the question
Answers
Answer:
Light
Step-by-step explanation:
the plant response light for photosynthesis
Steve had 48 chocolates but decided to give 8 chocolates to each of his f coworkers. How many chocolates does Steve have left?
Answers
So if Steve divided 48 chocolates by how many he would give to each co worker he would have 6 workers and 0 chocolates left.
Hope this helped!! :))
Answer: 40 chocolates
Step-by-step explanation:
Draw a number line and mark on it if possible all described points
Positive Numbers
Answers
Answer: A number line is a line in which numbers are marked at an equal distance from each other, either horizontally or vertically. The numbers on the right side of the line are positive numbers. Positive numbers are numbers that are greater than zero. Positive numbers include both whole numbers and decimals greater than zero.
A number line is an effective tool for visualizing and ordering positive numbers. On a number line, positive numbers are represented to the right of zero, and they increase in value as you move farther to the right. For instance, the number 2 is to the right of the number 1, and the number 10 is farther to the right than the number 2. Similarly, 3.5 is a larger number than 2.5. Hence, the answer is: Draw a number line and mark all positive numbers on it.
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what is the present value of a nation's net external wealth?
Answers
The present value of a nation's net external wealth represents the current monetary value of a country's foreign assets, minus its foreign liabilities.
This includes financial assets such as stocks, bonds, and foreign currency reserves, as well as physical assets like real estate or infrastructure owned by a nation's residents in other countries. It also accounts for any foreign debt that the nation owes.
Net external wealth is an essential indicator of a country's financial stability and global economic position. A positive net external wealth indicates that the country's foreign assets exceed its liabilities, suggesting a strong financial standing. Conversely, a negative net external wealth implies that the country has more debt than assets, which may signal financial vulnerability.
In summary, the present value of a nation's net external wealth is a critical measure of its financial health, determined by the difference between its foreign assets and foreign liabilities.
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Find the diameter of the circle with the given circumference of 26.1 use 3.14
Answers
Answer:
0.68754935415
Diameter = Circumference
Pi
0.68754935415 = 2.16
Pi
Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle. y = sin(x), y = 5x, x = /2, x =
Answers
To sketch the region enclosed by the curves y = sin(x) and y = 5x, we plot the curves and find the bounds of the region. We integrate with respect to x to find the area of the region.
To sketch the region enclosed by the given curves, we first plot the curves y = sin(x) and y = 5x on a coordinate plane.
The curves intersect at two points: (0,0) and (π/6,π/3). The x-coordinates of the bounds of the region are x = 0 and x = π/6. The y-coordinate of the lower bound of the region is y = 0, and the upper bound of the region is y = 5x.
Since the region is bounded by the curves y = sin(x) and y = 5x, we can integrate with respect to x or y. However, since the region is easier to describe in terms of x, we will integrate with respect to x.
A typical approximating rectangle for the region is shown below:
To set up the integral for finding the area of the region, we need to determine the limits of integration. We integrate from x = 0 to x = π/6, and the integrand is given by the difference between the upper and lower bounds of the region:
Area = ∫<sub>0</sub><sup>π/6</sup> (5x - sin(x)) dx
We can evaluate this integral using integration techniques such as integration by parts or numerical methods such as Simpson's rule.
Overall, the region enclosed by the given curves is a triangular region, and we can integrate with respect to x to find its area.
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what is the half-life of a radioactive substance that decays at a continuous rate of 11% per minute? (round to one decimal places.)
Answers
5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).
Define the half-life of a radioactive substance?A radioactive sample's half-life is the amount of time it takes for half of its atomic nuclei to spontaneously transform into another nuclear species and emit particles and energy.When we use the formula A = A0(1 - r)t,
where A is the quantity of a substance we have at any given moment (t), A₀ is the quantity we have at the beginning (at t = 0), and r is the rate of decay, we may state the following:(1/2)A₀ = A₀(1 - 0.11)t
[Divide both sides by A₀ results in:
1/2 = (0.87)t
Using the log of both sides;:
log(1/2) = log(0.87)t
Using a logarithm property, we can bring the "t" to the front, giving us:
log(1/2) = t.log(0.89)
[Dividing both sides with log(0.89) gets us:
t = log(1/2)/log(0.89)
Using calculator for soling the values.
t = 5.94 seconds
Thus, 5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).
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at a dinner party, guests were served dishes of soup, rice, and tofu. every dish of soup was shared by two guests, every dish of rice was shared by three guests, and every dish of tofu was shared by four guests. every guest ate from exactly one dish of soup, one dish of rice, and one dish of tofu. if the total number of dishes was 65, then how many guests were there?
Answers
In Korea, tofu is typically offered during breakfast.
Describe breakfast.
The first meal of the day, known as breakfast, is often had in the morning. After an overnight fast, it is a crucial meal that gives the body and brain fuel. Protein and carbs are generally found in breakfast foods such eggs, bacon, oatmeal, toast, pancakes, yoghurt, cereal, and fruits. A nutritious breakfast may boost energy levels, jump-start the metabolism, and enhance focus and memory. A nutritious breakfast can also aid in lowering mid-day snacking and preventing overeating in the evening. Make sure to incorporate breakfast in your daily schedule since eating breakfast is crucial to living a healthy lifestyle.
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7 − 58z = −23 ASPA
A. 9.38
B. 48
C. −24
D. 24
Answers
Answer:
the given are not correct the real answer is 15/29 or 0.517...
Step-by-step explanation:
7-58z = -23
-58z = -23 -7
-58z =-30 the negatives will cancel each other out
-58. -58
z = 30/58 divide both by 2
z= 15/29 which can also be equal to 0.517...
what is the formula of a square + b square
Answers
(1/4) to the power of 3 HELPPPPPPP
Answers
Answer:
0.015625
Step-by-step explanation: Its 0.015625 trust me :D
A system is described by the equations2x + 3y = 104x + By = 20For what value of B will the system have infinitely many solutions?
Answers
Kellurz, this is the solution:
2x + 3y = 10
4x + By = 20
____________
Isolating x in the first equation:
2x + 3y = 10
2x = 10 - 3y
Dividing by 2:
2x/2 = (10 - 3y)/2
x = (10 - 3y)/2
Substituting x and solving for y in the second equation:
4x + By = 20
4 * (10 - 3y)/2 + By = 20
40 - 6y + By = 20
-6y + By = 20 - 40
-6y + By = -20
Now, we can solve for B, using the following ratios:
2/4 = 3/B = 10/20
1/2 = 3/B = 1/2
1/2 = 3/B
B = 6
Express the formula d=rt in terms of the time,t. Use your formula to find the time when the distance is 40 and the rate is 8.
Answers
The expression for d=rt in terms of the time is t = d/r; t = 5.
What is time? Time can be defined as a continuous and ongoing sequence of events that occur consecutively from the past to the present to the future. Time is used to measure, measure or compare the duration of events or the intervals between them, and even the sequence of events. Time is a useful concept that we use in our daily life. We have to watch when we cook, play, study, go to school, meet someone, etc. So knowing the right time is very important. Time is usually the answer to when an event happens or happened. The concept of time determines when a certain event occurs, has occurred or will occur. Time is a measurable quantity and is also infinite. The time is calculated in seconds, minutes, hours, days, months and years.Therefore,
In the equation d=rt
t = d/r
when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
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Divide the fractions and write answer in simplest form: −14/7÷−12/14=
Answers
Answer:
It is -7/-3 but simplified it is 2 1/3
the measure of one interior angle of a parallelogram is 0.25 times the measure of another angle.
Answers
The interior angle of a parallelogram is proportional to the measure of another angle with a ratio of 0.25:1.
A parallelogram is a four-sided flat shape that has opposite sides that are parallel and equal in length. The sum of the interior angles of a parallelogram is equal to 360 degrees. If the measure of one interior angle is 0.25 times the measure of another angle, this means that there is a proportionate relationship between the two angles. To find the measure of the second angle, we can use the formula:
Angle 2 = (Angle 1) / 0.25
For example, if Angle 1 is 100 degrees, then Angle 2 is 100 / 0.25 = 400 degrees. This means that if one angle measures 100 degrees, the other angle measures 400 degrees. The sum of the two angles is 500 degrees, which is still less than the total sum of interior angles in a parallelogram, which is 360 degrees.
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Can someone help with this please.
Answers
2. 3526.49
3. 12.64
4. 0.21
Hope this helps!
Tori, Brielle, and Abby, go shopping together. Together they spend $215. Brielle spends twice as much as Tori, and Abby spends one dollar less than three times what Tori spends. How much did each girl spend?
Answers
Step-by-step explanation:
Tori + Brielle + Abby = 215
Give Tori spends x.
Brielle ; 2x and Abby ; 3x - 1
so
x + 2x + 3x - 1 = 215
6x - 1 = 215
6x = 216
x = 36
Tori spends $36 Brielle spends $72 and Abby spends $107.
please give me a brainliest answer
4(a-c)+2(a-b)
x(x-y)+y(y-x)
Answers
Answer:
hi how are you . i cant find the answer youre looking for
Answer:
1) 6 ( a - b )
2) x² - 2xy + y²
Step-by-step explanation:
1) 4 ( a - c ) + 2 ( a - b )
First, solve the brackets.
4a - 4c + 2a - 2b
Combine like terms.
6a - 6b
Take the common factor out.
6 ( a - b )
2) x ( x - y ) + y ( y - x )
First, solve the brackets
x² - xy + y² - xy
Combine like terms.
x² - 2xy + y²
Find the percentage error |sinθ - θ|/sin(θ)*100 this approximation introduces for an angle of 0. 020 radians.
Answers
Considering the given angle and the given formula, it is found that the percentage error for an angle of 0.02 radians is of 0.0067%.
What is the percentage angle for an angle?For an angle \(\theta\), it is given by the following formula:
\(P = 100\frac{|\sin{\theta} - \theta|}{\sin{\theta}}\)
In this problem, the angle is of \(\theta = 0.02\), hence:
\(P = 100\frac{|\sin{0.02} - 0.02|}{\sin{0.02}}\)
\(P = 0.0067\)
The percentage error for an angle of 0.02 radians is of 0.0067%.
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You borrow $200. The simple interest rate is 12%. You pay off the loan after 2 years. How much doe you pay for the lone
Answers
Answer:
224
Step-by-step explanation:
200*0.12=24
200+24=224
The amount to be paid for the loan is $248.
What is simple interest?'Simple interest is the interest amount for a particular principal amount of money at some rate of interest.
According to the given problem,
Principal amount (P) = $200
Rate of interest (r) = 12%
Time period (t) = 2 years
We know,
Final amount to be paid with interest (A) = P( 1 + rt )
= 200{ 1 + ( 0.12 × 2 )
= 200( 1 + 0.24 )
= 200 × 1.24
= $248
Hence, we can conclude, we have to pay $248 for the loan.
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What is the value of y?
Answers
Answer:
I think it is 3????
Step-by-step explanation:
I'm not sure but 36 / 12 = 3 so yea.
Hopefully this is right!
out of a random sample of 1000 dutch men, how many would we expect to be taller than 190 cm (rounded to the nearest whole number)?
Answers
The number of Dutch men taller than 190 cm is approximately 100.
The proportion of men taller than 190 cm is estimated using the normal distribution.
We'll be using a normal distribution, which requires the mean and standard deviation of the height data.
The percentage of Dutch men who are over 190 cm tall can be estimated using a normal distribution model.
We must first determine the mean and standard deviation of the heights.
For the population mean and standard deviation, we use the following values.
μ = 181 cm (the mean of Dutch men's heights)
σ = 7 cm (standard deviation)We may now convert the height of 190 cm to a z-score, which is a standard score that represents the number of standard deviations from the mean of the distribution.
The z-score is calculated using the following formula: Z = (X - μ) / σ
where X is the height of 190 cm,
μ is the population mean,
and σ is the population standard deviation.
Z = (190 - 181) / 7 = 1.2857
We look up the percentage corresponding to this z-score in the standard normal distribution table.
Using the table, we can see that the percentage of individuals with a z-score greater than 1.2857 is 0.1003.
We will use this percentage to estimate the number of Dutch men over 190 cm tall in a random sample of 1000 men.0.1003 * 1000 = 100.3
The number of Dutch men taller than 190 cm is approximately 100.
To the nearest whole number, we round this up, and the expected number of men taller than 190 cm in a random sample of 1000 Dutch men is 101.
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P2
L
R
U
P1
x, x
0, z
D
2,0
y, y
where x, y, and z are real numbers.
a. For which values of x, y, z is (U, L) a Nash equilibrium? b. For which values of x, y, z is (D, R) a Nash equilibrium? c. For which values of x, y, z is (D, L) a Nash equilibrium?
Answers
a. The strategy profile (U, L) is a Nash equilibrium when x is greater than or equal to 0 and z is less than or equal to 0.
b. The strategy profile (D, R) is a Nash equilibrium when x is less than or equal to 0 and y is greater than or equal to 0.
c. The strategy profile (D, L) is a Nash equilibrium when x is less than or equal to 0 and y is less than or equal to 0.
To determine the Nash equilibria for the given strategies, we need to consider each player's best response to the strategies chosen by the other players.
a. For the strategy profile (U, L) to be a Nash equilibrium, player 1 (P1) should have no incentive to deviate from playing U, and player 2 should have no incentive to deviate from playing L. In this case, if P1 plays U, their payoff is x, and regardless of the value of y, P2's payoff is always x. Thus, P1 has no incentive to deviate as long as x is greater than or equal to 0. Additionally, P2's best response to U is to play L, earning a payoff of z. Therefore, for (U, L) to be a Nash equilibrium, z should be less than or equal to 0.
b. For the strategy profile (D, R) to be a Nash equilibrium, P1 should have no incentive to deviate from playing D, and P2 should have no incentive to deviate from playing R. When P1 plays D, their payoff is 2, and P2's payoff is y. P1 has no incentive to deviate as long as x is less than or equal to 0. P2's best response to D is to play R, earning a payoff of 0. Therefore, for (D, R) to be a Nash equilibrium, y should be greater than or equal to 0.
c. For the strategy profile (D, L) to be a Nash equilibrium, P1 should have no incentive to deviate from playing D, and P2 should have no incentive to deviate from playing L. P1's payoff when playing D is 2, and P2's payoff is y. P1 has no incentive to deviate as long as x is less than or equal to 0. P2's best response to D is to play L, earning a payoff of y. Thus, for (D, L) to be a Nash equilibrium, both x and y should be less than or equal to 0.
In summary, (U, L) is a Nash equilibrium when x is greater than or equal to 0 and z is less than or equal to 0. (D, R) is a Nash equilibrium when x is less than or equal to 0 and y is greater than or equal to 0. (D, L) is a Nash equilibrium when x and y are both less than or equal to 0.
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5.) What is the surface area of this figure? (NUMBER ONLY) no labels!
Answers
Answer:
surface area of shape= 3*(area of the rectangle)+2*(area of the triangle), since it's a prism
area of rectangle= length*breadth= 15*5
= 75mm^2
area of triangle = 1/2* base * height= 1/2* 4.5 * 5
= 11.25mm^2
surface area = 3*75 + 2*11.25
= 225 + 22.5
= 247.5mm^2
hope it helps
Answer:
150 + 19.5√19 ≈ 235.0 mm²
Step-by-step explanation:
Find the volume of a right rectangular prism that has a base area of 54 square centimeters and a height of 413 centimeters.
Answers
Answer:multiply base times height
Step-by-step explanation:
V=lwh
V=bh
lw=V