Answer:
here you go :)
Step-by-step explanation:
You can approach this problem by thinking about going in the opposite of the directions indicated starting at the point (3, 4).
If you ended at an x-coordinate of 3 after having moved 4 to the left, then you can start at 3 and move 4 to the right to see what x -coordinate you started at: 3 + 4 = 7
The x coordinate of the STARTING point would have been 7.
You can do the same with the y-coordinate: start at 4 and travel down 1 unit. The y-coordinate of the STARTING point would be 3.
Therefore, the coordinates of the starting point would have been (7,3)
In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class passed the test?
Completed the homework
Did not complete the homework
Passed the test Failed the test
12
2
4
3
Answer:
20/27
Step-by-step explanation:
Eight workers took 2 1/4 days to dig half of a tunnel. If only two workers are going to finish the tunnel, how long will it take them?
Answer:
0.5625
Step-by-step explanation:
what association does the scatter plot show?
Answer asap
A school has a square courtyard and wants to create diagonal walkways. the length of
each side of the courtyard is 25 meters. approximately how long is each walkway?
The length of each side of the courtyard is 25 meters. Then 35.36 meters long is each walkway.
In the given question, a school has a square courtyard and wants to create diagonal walkways.
The length of each side of the courtyard is 25 meters.
We have to find how long is each walkway.
By dividing the square in half to form a right triangle, you can find the solution. The Pythagorean theorem can then be used to find the hypotenuse.
According the Pythagorean Theorem
\(a^2+b^2 = c^2\)
\((25)^2+(25)^2=c^2\)
Now solving,
625 + 625 = \(c^2\)
\(c^2\) = 1250
Taking square root on both side, we get
c = 35.36 meters.
Hence, 35.36 meters long is each walkway.
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help asap please !!
Write a formula for the nth term of the following geometric sequence 1 1 1 - 1 4 16 64 Find a formula for the nth term of the geometric sequence. n- 2. = "-1
The nth term of the sequence can be expressed as follows:an = 1(-4)n-1The formula for the nth term of the given geometric sequence is:an = -4n + 3.
The nth term of the given geometric sequence 1 1 1 - 1 4 16 64 can be obtained by multiplying the term preceding the current term by 4 and adding 1.
We can easily derive the formula of the nth term of the given sequence by observing the sequence. Let's begin by observing the given sequence:1 1 1 - 1 4 16 64
The first three terms of the sequence are the same, so the common ratio is 1. The fourth term is -1, and we can see that the fifth term is obtained by multiplying the fourth term by -4. The sixth term is 16, which is obtained by multiplying -4 by -4. Finally, we get 64 by multiplying the sixth term by -4. Therefore, the sequence is geometric with a common ratio of -4, starting with 1.
The nth term of the sequence can be calculated using the formula:an = a1rn-1where an is the nth term of the sequence, a1 is the first term of the sequence, r is the common ratio, and n is the number of terms. The first term a1 is 1, and the common ratio r is -4.
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can you please help on this?
Answer:
hi
7.6×7.6= 57.76
so it has to be bigger than √55
gud luck
In this challenge problem set, you will investigate Kepler's laws in the special case where r(t) is a circular To complete the second challenge problem set, you will write up solutions to the following problems. Your write-up should include exposition and read like a chapter or section of a textbook. Be sure to clearly label your answers to the questions. (1) Suppose the distance between the planet and the Sun is R, and consider the circular orbit r(t) = (Rcos(ut), Rsin(t)) (a) Find constraints on w (in terms of G. M and R) so that r(t) satisfies the differential equation 1.1. (b) Use part (a) to deduce a version of Kepler's Third Law for this orbit. R³ GM (Hint: What is the relationship between and T?) r(t) = (R cos(wt), R sin(wt))
We have found a version of Kepler's Third Law for this orbit, given by R³/GM.
Given the following scenario,
The distance between the planet and the Sun is R, and consider the circular orbit r(t) = (R cos(ωt), R sin(ωt)).
The differential equation of the orbit is given by 1.1.
Determine the Kepler's laws in the special case where r(t) is a circular.
To solve the problem, we need to follow the steps below:
a. Solve for the differential equation, 1.1
b. Find constraints on ω in terms of G, M and R
c. Use part (b) to deduce a version of Kepler's Third Law for this orbit.
For part a),The differential equation of the orbit is given by;
(d²r/dt²) = -GMr/R³,where r = (R cos(ωt), R sin(ωt))
Differentiating twice w.r.t time t;
d/dt (d/dt(Rcos(ωt))) = -GM/(R²)cos(ωt)d/dt (d/dt(Rsin(ωt)))
= -GM/(R²)sin(ωt)d²(Rcos(ωt))/dt²
= -(GM/R³)(Rcos(ωt))d²(Rsin(ωt))/dt²
= -(GM/R³)(Rsin(ωt))
Therefore,
d²r/dt² = (-GM/R³)(Rcos(ωt))î + (-GM/R³)(Rsin(ωt))ĵ
= -(GM/R²)r
Similarly, we see that dr/dt = ω(-Rsin(ωt))î + ω(Rcos(ωt))ĵ.
Hence, r x dr/dt = -ωR² î + ωR² ĵ = -ωR² r_⊥, where r_⊥ is the vector perpendicular to r.
Since the orbit is circular, the acceleration is perpendicular to the velocity (i.e. tangential), so we can write
F = ma
= m(d²r/dt²)
= -GMm/R²
= mω²R, where we have used Newton's law of gravitation and the centripetal force.
Hence,
ω²R³ = GM
⇒ ω = √(GM/R³)
Therefore, we have obtained the constraint on ω in terms of G, M, and R.
For part b),
Using the result from part a) to find Kepler's Third Law, we have
T = 2π/ω
= 2π√(R³/GM)
= 2π(R/ω)³/²
= 2π(R/GM)³/² * GM
= 2πR³/GM
We have found a version of Kepler's Third Law for this orbit, given by R³/GM.
The answer is; a. ω = √(GM/R³)b. R³/GM
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At Memorial Elementary, 30% of the 3rd grade students chose math as their favorite subject. There are 120 3rd graders. How many chose math as their favorite subject? * 20 points
Answer: 36 students
Step-by-step explanation:
Percentage of 3rd grade students chose math as their favorite subject = 30%
Total number of 3rd graders = 120
The number of 3rd graders who choose maths as their favorite subject will be:
= 30% × 120
= 30/100 × 120
= 0.3 × 120
= 36 students
Answer: 36 chose math as their favorite subject.
Step-by-step explanation: 30 percent of 120 is 36.
Check all the values that are equivalent to -i. Please help! Picture of question attached!
By the De Moivre's formula, the complex numbers i⁷¹, i⁴⁷, i¹⁹ are equivalent to - i.
How to determine what complex numbers are equal to - i?
In this question we have eight cases of powers of complex numbers, of which we must determine what cases are equivalent to the complex number - i. This can be checked by means of De Moivre's formula:
zⁿ = rⁿ · (cos nx + i sin nx)
Where:
r - Norm of the complex number.n - Grade of the power of the complex number.Please notice that nx must be in radians.
If we know that r = 1, cos nx = 0, sin nx = - 1 and x = π / 2, then we find that:
The complex numbers i⁷¹, i⁴⁷, i¹⁹ are equivalent to - i.
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Find the measure of ∠X
2 problems only and please show work and explain how you got the answer so that way I can understand what you're doing and how to solve the other problems on my work sheet.
Answer:
7) 65°8) 25°Step-by-step explanation:
Question 7
Angle formed by 2 chords is half of the sum of the intercepted arcs
x = 1/2(72° + 58°) = 1/2(130°) = 65°Question 8
Angle formed by 2 secants is half of the difference of the intercepted arcs
x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°j£jc~l'ds~ 3.5 let p {x e r3 i xl x2 x3 = 1, x o} and consider the x = (0,0,1). find the set of feasible directions at x.
The set of feasible directions at x is the set of vectors of the form (d₁, -d₁, 0) for any d₁ in R. The constraints are d₁ + d₂ + d₃ = 0 and d₃ = 0.
To find the set of feasible directions at x, we need to find the set of vectors d such that x + td belongs to P for all t > 0. That is, we need to find the set of vectors d such that (x + td)₁ + (x + td)₂ + (x + td)₃ = 0 for all t > 0, and (x + td) vector (x + td) = (0, 0, 1) for some t > 0.
Expanding the first equation, we get
x₁ + x₂ + x₃ + t(d₁ + d₂ + d₃) = 0
Since x₁ + x₂ + x₃ = 0, we can simplify this to
t(d₁ + d₂ + d₃) = 0
This implies that d₁ + d₂ + d₃ = 0, which is the first constraint on d.
Expanding the second equation, we get
(x₁ + td₁)² + (x₂ + td₂)² + (x₃ + td₃)² = 1
Simplifying and expanding, we get
t²(d₁² + d₂² + d₃²) + 2t(x₁d₁ + x₂d₂ + x₃d₃) + (x₁² + x₂²+ x₃² - 1) = 0
Since x vector x = (0, 0, 1), we have x₁² + x₂² = 0, and x₃² = 1. Therefore, the above equation simplifies to
t^2(d₁^2 + d₂^2 + d₃^2) + 2td₃ = 0
This implies that d₃ = 0 or d₁^2 + d₂^2 + d₃^2 = -2d₃/t^2.
Since t > 0, the second equation implies that d₁^2 + d₂^2 + d₃^2 > 0. Therefore, we must have d₃ = 0, which is the second constraint on d.
Putting the two constraints together, we get:
d₁ + d₂ + d₃ = 0 and d₃ = 0
This implies that d₁ = -d₂, and d₃ = 0. Therefore, the set of feasible directions at x is the set of vectors of the form (d₁, -d₁, 0) for any d₁ in R.
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--The given question is incomplete, the complete question is given
" Exercise 3.5 Let P = {x E R₃ | x₁ + x₂ + x₃ vector x = (0,0,1). Find the set of feasible directions at x. 1, x > 0
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data
How to explain the informationThe answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.
In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.
Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.
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a biotechnology company produced 188 doses of somatropin, including 8 which were defective. quality control tests 13 samples at random, and rejects the batch if any of the random samples are found defective. what is the probability that the batch gets rejected?
A biotechnology company produced 188 doses of somatropin, including 8 which were defective. quality control tests 13 samples at random, and rejects the batch if any of the random samples are found defective. The probability that the batch gets rejected is 0.2974.
What is probability?Probability is the chance of something happening. Probability is always expressed as a decimal or a percentage. The probability of an event happening is calculated by dividing the number of ways it can occur by the total number of possible outcomes.
The given values are:
Number of doses produced = 188
Number of defective doses = 8
Number of random samples tested = 13
Probability that the batch gets rejected:
The batch will be rejected if any of the random samples is defective.
So, let us first find the probability of a sample being defective:
P(defective) = number of defective doses/total number of doses= 8/188= 0.0426 (approx.)
The probability that none of the random samples is defective:
P(none defective) = (1 - P(defective))^13= \((1 - 0.0426)^{13}\)= 0.7030 (approx.)
Thus, the probability that at least one sample is defective:
P(at least one defective) = 1 - P(none defective)= 1 - 0.7030= 0.2970 (approx.)
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Please help me with this question!!
Answer:
I think your answer will be acute
Step-by-step explanation:
Answer: if you add all of them up and it is less than a 90 degree angle, it would be acute
Step-by-step explanation:
9+20+14=43
studies that assign subjects to intervention groups on the basis of their extreme scores are vulnerable to regression toward the mean. True or False
Scott’s family has cats and birds as pets. Scott counted the total number of legs his pets have. Scott counted 30 legs total. If Scott’s family owns 3 birds, how many cats do they own?
Show how you solved it!!!!
I need this as soon as possible!
3birds would have=2(3)=6legs
Cats have:-
30-6=24legsEach cat has 4legs.
Total cats:-
\(\\ \sf\longmapsto \dfrac{24}{4}=6cats\)
The equation x^2 = d has how many real solutions when d > 0
Answer:
2.
Step-by-step explanation:
It will have 2 real roots
for example if d = 5
the roots are -√5 and √5
Does anyone know these answers??
The angles of a triangle always add up to 180°.
By simply adding the angles and checking the total, you can tell if they make a triangle or not.
Using this property, 5 won't make a triangle, 6 will.
Hope this helps! :D
What is the value of 7C2?
7!/2!
Step-by-step explanation:
nCr=(nr)=n!r!(n−r)! 7C2=(72)=7!2!(7−2)!=7!2!⋅5!=50402⋅120=5040240=21.
we would associate the term inferential statistics with which task?
Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.
The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.
In other words, it involves using sample data to make generalizations or predictions about a larger population.
Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.
It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.
This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.
These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.
The goal of inferential statistics is to provide insights into the larger population based on a representative sample.
It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.
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5. Charnita Jones earns $304.80 per week as a sales assistant. Next week she will be
promoted to assistant manager. She will then earn $332.50 per week. She is single
and claims 1 allowance. How much more will she pay in federal income tax?
Charnita Jones will have to pay $5 more in federal income tax.
According to the question we have been given that Charnita Jones
As sales assistant she earned = $304.80
After promotion as assistant manager she will earn = $332.50
Number of allowance she claims = 1
We need to find how much more she will pay in federal income tax.
For that we will first calculate how much she paid when her earning was $304.80. For this we will use the table for single persons-weekly payroll period. In that table, first we will choose the row of wages from the column number 1. We look to that row where $304.80 will lie that is the row will be $300-$310. then we will look for allowance that is 1. Thus the tax she will pay will be in column of allowance 1 and in the row of $300-$310 is $22.
In similar way we will find out the tax she will pay when she earn $332.50 which is $27.
Difference = $27 - $22 = $5
Hence she will have to pay $5 more in federal income tax.
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Point F is on line segment EG. Given EF = 2x, EG = 5x, and FG = 2x + 4,
determine the numerical length of EG.
Answer:
The numerical length of EG is 20 units
Step-by-step explanation:
Here, we are told to determine the numerical length of EG
We are told in the question that point F is on the line segment EG
Thus, by mathematical conventions (
EG = EF + FG
inputing the values given in the question;
5x = 2x + 2x + 4
5x = 4x + 4
5x -4x = 4
x = 4
But EG = 5x
So EG = 5(4)
EG = 20 units
I WILL MARK BRAINIEST
PLEASE HELP ASAP ANSWER QUESTION 22
Answer:
blank 1: x-6
blank 2: y+12
blank 3: translation
Step-by-step explanation:
Answer:
it is kinda confusing but i think the answer might be (6,12)
Step-by-step explanation:
Consider an MDP with 3 states, A, B and C; and 2 actions Clockwise and Counterclockwise. We do not know the transition function or the reward function for the MDP, but instead, we are given with samples of what an agent actually experiences when it interacts with the environment (although, we do know that we do not remain in the same state after taking an action). In this problem, instead of first estimating the transition and reward functions, we will directly estimate the Q function using Q-learning.
By estimating the Q-function directly using Q-learning and updating it based on observed samples, we bypass the need to explicitly estimate the transition and reward functions. This approach allows us to learn the optimal policy without prior knowledge of the underlying dynamics of the MDP.
In Q-learning, the Q-function estimates the expected cumulative reward for taking a particular action in a given state. It is updated iteratively based on the agent's experiences. In this scenario, although we do not know the transition and reward functions, we can still use Q-learning to directly estimate the Q-function.
We initialize the Q-values arbitrarily for each state-action pair. Then, the agent interacts with the environment, taking actions and observing the resulting states and rewards. With these samples, we update the Q-values using the Q-learning update rule:
Q(s, a) = Q(s, a) + α [r + γ max(Q(s', a')) - Q(s, a)]
Here, Q(s, a) represents the Q-value for state s and action a, r is the observed reward, s' is the next state, α is the learning rate, and γ is the discount factor.
We repeat this process, updating the Q-values after each interaction, until convergence or a predetermined number of iterations. The Q-values will eventually converge to their optimal values, indicating the optimal action to take in each state.
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by convention, when the p-value for the difference between the observed experimental outcomes and the expected outcome is less than 5 percent (< 0.05), the experimental results are considered to be
When the p-value for the difference between the observed experimental outcomes and the expected outcome is less than 5 percent (< 0.05), the experimental results a to be statistically significant and different from the expected outcome.
The P value is defined as the probability of obtaining a result equal to or more extreme than what was observed. The P stands for probability. The p-value represents the probability of the occurrence of a given event. To put it more simply the p-value refers to the percentage of experiments in which the sample differences are larger or smaller than an observed value.
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A bag has 6 watermelon, 5 grape and 1 green apple jolly rancher. . What is the probability of picking a
watermelon, put it back then green apple?
Answer:
1/24
Step-by-step explanation:
We want to find the probability of picking a watermelon AND picking a green apple right after. These events are completely independent of each other as the watermelon is put back, and picking a watermelon/green apple does not affect the chances of getting the other the next/previous time. The formula for this is P(A) * P(B), with P(A) being the probability of event A happening and P(B) being the probability of event B happening. It does not matter which event is which.
Let's say picking a watermelon is event A and picking a green apple is event B. There are 6 watermelons and 6+5+1 = 12 jolly ranchers, so there is a 6/12 = 1/2 chance of picking a watermelon. There is 1 green apple and still 12 jolly ranchers, so there is a 1/12 chance of picking a green apple jolly rancher.
Multiplying these two, we get (1/2) * (1/12) = 1/24
HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
1). Slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,
m = \(\frac{y_2-y_1}{x_2-x_1}\)
Therefore, slope of the line passing through two points (2, -10) and (-2, 18) will be,
m = \(\frac{-10-18}{2+2}\)
m = -7
2). From the table attached,
Slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)
Slope of line passing through (4, -6) and (0, -2) will be,
Slope = \(\frac{-6+2}{4-0}\)
Slope = -1
Find the exact value by using a half angle identity.tan 75°
The trigonometric function is given as
\(\tan 75^{\circ}\)Apply the half angle identity to find the value of tan 75 ,
\(\tan (\frac{u}{2})=\frac{\sin u}{1+\cos u}\)Here,
\(\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}\)\(\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}\)\(\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\)Now rationalize the function.
\(\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}\)Again simplify the trigonometric function,
\(\tan 75^{\circ}=2+1.732=3.732\)Hence the answer is 3.732.
in a state transition diagram, the circle to the left is the final state. a. true b. false
The answer is b. false. In a state transition diagram, circles represent states in a system, and arrows represent the transitions between these states. The circle to the left does not necessarily indicate the final state.
Final states are typically denoted by a double circle or by other clear notations in the diagram, such as labels or annotations.
A state transition diagram is a valuable tool used to visualize the behavior of a system or process, helping to clarify how different states interact and evolve over time. The diagram consists of a finite number of states and transitions, and each transition connects two states with a specific event or condition. By understanding and analyzing these diagrams, we can gain insights into the overall behavior of the system, identify potential issues or areas for improvement, and create a solid foundation for system development and design.
In summary, the placement of a circle in a state transition diagram does not automatically indicate its role as a final state. It is crucial to carefully examine the entire diagram and any associated notations to correctly identify the final state(s) in the system.
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Enter the Sum: 8/6 - 6/12 =
Answer:
8/6−6/12=56
Step-by-step explanation:
(86×22)−(612×11)=?
16/12−6/12=?
16−6/12=10/12
10÷2/12÷2=56
8/6−6/12=56