given rectangular grid nxm starting at position (x1,y1) you are trying to reach (x2,y2) return number of steps it takes to get there. code signal
Given an infinite grid, initial cell position (x, y) and a sequence of other cell position which needs to be covered in the given order.
The task is to find the minimum number of steps needed to travel to all those cells.
Note: Movement can be done in any of the eight possible directions from a given cell that is from cell (x, y) you can move to any of the following eight positions:(x-1, y+1), (x-1, y), (x-1, y-1), (x, y-1), (x+1, y-1), (x+1, y), (x+1, y+1), (x, y+1) is possible
Examples:
Input: points[] = [(0, 0), (1, 1), (1, 2)]
Output: 2
Move from (0, 0) to (1, 1) in 1 step(diagonal) and
then from (1, 1) to (1, 2) in 1 step (rightwards)
Input: points[] = [{4, 6}, {1, 2}, {4, 5}, {10, 12}]
Output: 14
Move from (4, 6) -> (3, 5) -> (2, 4) -> (1, 3) ->
(1, 2) -> (2, 3) -> (3, 4) ->
(4, 5) -> (5, 6) -> (6, 7) ->
(7, 8) -> (8, 9) -> (9, 10) -> (10, 11) -> (10, 12)
Since all the given points are to be covered in the specified order.
Find the minimum number of steps required to reach from a starting point to next point, then the sum of all such minimum steps for covering all the points would be the answer.
One way to reach from a point (x1, y1) to (x2, y2) is to move abs(x2-x1) steps in the horizontal direction and abs(y2-y1) steps in the vertical direction, but this is not the shortest path to reach (x2, y2).
The best way would be to cover the maximum possible distance in a diagonal direction and remaining in horizontal or vertical direction.
If we look closely this just reduces to the maximum of abs(x2-x1) and abs(y2-y1).
Traverse for all points and summation of all diagonal distance will be the answer.
To know more about rectangular grid visit brainly.com/question/12377139
#SPJ4
A professor of linguistics refuses the claim that the average student spends 3 hours studying for the midterm exam. She thinks they spend more time than that. Which hypotheses are used to test her claim
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
To learn more about equal variances: -brainly.com/question/30777199
#SPJ11
To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
To learn more about equal variances: -brainly.com/question/30777199
#SPJ11
1. A fence company sells wooden and metal fences. Let x represents the number of wooden fences they sell and let y represent the number of metal fences. They make a profit of $340 for each wooden fence and $290 for each metal fence. Write an objective function that could be used to determine how many of each to make in order to maximize profit.p =
x represents the number of wooden fences
and
y represents the number of metal fences
The profit for each wooden fence is 340
The profit for each metal fence is 290
The function for total profit will be :
p = 340x + 290y
I GIVE BRAINLIEST!
Compare -16 and -49/4, put greater than, less than, or the equal sign,
Answer:
-16 < -49/4
Step-by-step explanation:
-16 is less than -49/4 since -49/4 is -12.25 (which is more than -16)
Sorry my orig!nal answer got deleted due to "v!olating community gu!del!nes"! That is what it was.
if we know the 4 numbers used but dont know the order, how many possible combinations do we need to use to find the password
If we know the 4 numbers used but do not know the order, there are 24 possible combinations to use to find the password.
When you have 4 distinct numbers and need to find the order, you are looking to determine the number of possible combinations.
A combination is an arrangement of items in a specific order. In your case, you are trying to find the possible arrangements for the 4 numbers you know, which can be used to unlock the password.
To calculate the number of combinations, you can use the formula for permutations, which is n!/(n-r)!, where n is the total number of items (numbers) and r is the number of items you want to arrange.
In this situation, n = 4 (the 4 numbers you know), and r = 4 (since you want to arrange all of the numbers). Applying the formula, you'll have:
4!/(4-4)!
4! (which is 4 x 3 x 2 x 1) divided by 0! (0! is equal to 1)
4! = 24
So, you have 24 different possible combinations for the order of the 4 numbers. To find the correct password, you would need to try each of these 24 combinations.
To leran more about permutations, refer:-
https://brainly.com/question/30649574
#SPJ11
find the general solution of the given differential equation. y' + 7x^6y = x^6
The general solution of the given differential equation is:
y = (1/7) + C * \(exp(-x^7)\)
The exponential of the integral of the coefficient of y, in this case 7x6, provides the integrating factor. The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is 7x⁶.
The integrating factor is therefore exp(∫ 7x⁶ dx), which can be calculated as exp(x⁷/7).
Multiplying both sides of the differential equation by the integrating factor, we have:
exp(x⁷/7) * y' + 7x⁶ * exp(x⁷/7) * y = x⁶ * exp(x⁷/7)
Using the product rule on the left side, we can rewrite the equation as:
d/dx (exp(x⁷/7) * y) = x⁶ * exp(x⁷/7)
Integrating both sides with respect to x, we get:
exp(x⁷/7) * y = ∫ x⁶ * exp(x⁷/7) dx
The integral on the right side can be solved using integration by parts. Let's denote u = x⁶ and dv = exp(x⁷/7) dx. Then, du = 6x⁵ dx and v = 7/7 * exp(x⁷/7) = exp(x⁷/7).
Using the formula for integration by parts:
∫ u dv = uv - ∫ v du
We have:
∫ x⁶ * exp(x⁷/7) dx = x⁶ * exp(x⁷/7) - ∫ exp(x⁷/7) * 6x⁵ dx
Simplifying the integral on the right side, we obtain:
∫ exp(x⁷/7) * 6x⁵ dx = 6 * ∫ x⁵ * exp(x⁷/7) dx
We can apply integration by parts again to this integral, with u = x⁵ and dv = exp(x⁷/7) dx.
Continuing this process, we will eventually reach an integral of the form ∫ exp(x⁷/7) dx, which can be expressed in terms of special functions called exponential integrals.
Once we have the value of this integral, we can substitute it back into the expression for the integral of x⁶ * exp(x⁷/7) dx.
Finally, we divide both sides of the equation by exp(x⁷/7) and solve for y:
y = (1/exp(x⁷/7)) * (∫ x⁶ * exp(x⁷/7) dx)
The resulting expression will give the general solution to the given differential equation.
To solve this linear first-order ordinary differential equation, we can use an integrating factor. The integral of the coefficient of y's exponential integral, in this case 7x⁶, provides the integrating factor.
The integrating factor is therefore exp(∫ 7x⁶ dx), which can be calculated as exp((7/7) * x⁷) = exp(x⁷).
Multiplying both sides of the differential equation by the integrating factor, we have:
exp(x⁷) * y' + 7x⁶ * exp(x⁷) * y = x⁶ * exp(x⁷)
We can rewrite this equation as follows:
d/dx (exp(x⁷) * y) = x⁶ * exp(x⁷)
Integrating both sides with respect to x, we get:
exp(x⁷) * y = ∫ x⁶ * exp(x⁷) dx
To evaluate this integral, we can make a substitution. Let's substitute u = x⁷, then du = 7x⁶ dx.
The integral becomes:
(1/7) ∫ exp(u) du = (1/7) * exp(u) + C = (1/7) * exp(x⁷) + C
Now, dividing both sides of the equation by exp(x⁷), we have:
y = (1/7) + C * exp(-x⁷)
Therefore, the general solution of the given differential equation is:
y = (1/7) + C * exp(-x⁷)
where C is an arbitrary constant.
To know more about integration follow the given link:
https://brainly.com/question/30094386
#SPJ4
brainliest gets 22 points
This chart represents different workplaces. Circles A, B, and C are particular to certain career pathways and D represents a typical workplace for all three pathways.
A large circle with 3 smaller circles that overlap the large circle. Small circle A has work in a warehouse. Small circle B has work in a grocery store. Small circle C has work in a customer's home. Large circle D has a question mark.
Which best completes Circles A, B, C, and D?
Logistics and Distribution is the career of Circle A, M arketing Information Management is the career of Circle B, Marketing Communications is the career of Circle C, and Circle D is "an office".
Logistics and Distribution is the career of Circle A, Buying and Merchandising is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "an office."
Buying and Merchandising is the career of Circle A, Marketing Communications is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "work in a restaurant."
Buying and Merchandising is the career of Circle A, Entrepreneurship is the career of Circle B, Logistics and Distribution is the career of Circle C, and Circle D is "work in a restaurant".
Answer:
please provide a chart next time a question is asked
Step-by-step explanation:
Answer:
B. Logistics and Distribution is the career of Circle A, Buying and Merchandising is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "an office."
the length of a rectangle is four times its width. if the perimeter is at most 130 centimeters, what is the greatest possible value for the width? question 3 options: 2w + 2 • (4w) < 130 2w + 2 • (4w) > 130 2w + 2 • (4w) ≤ 130 2w + 2 • (4w) ≥ 130
Answer:
Step-by-step explanation:
Let L be the Length and W be the Width of a rectangle.
We are told that: L = 4W [the length of a rectangle is four times its width]
Perimeter = 2L + 2W
We learn that P ≤ 130 cm
2L + 2W ≤ 130 cm
Substitute L = 4W:
2L + 2W ≤ 130 cm
2(4W) + 2W ≤ 130 cm
10W ≤ 130 cm
W ≤ 13 cm
Options:
2w + 2 • (4w) < 130 Not correct since the < sign does not allow for the "at most 130 cm.")
2w + 2 • (4w) > 130 Must be ≤, not >
2w + 2 • (4w) ≤ 130 This option works since the ≤ sign is correct.
it possible to create an equation for a circle given exactly two points. describe exactly how one would do this. provide an example if necessary.
It is impossible to create an equation for a circle given exactly two points.
Let's consider the two basic equations of circle, i.e, the standard equation and general equation.
Now, Standard equation of circle with center (h, k) and radius r is represented as
(x−h)² +(y−k)² =r²
Note here we need values of three unknowns, h, k, r to get equation of a certain circle.
The other general equation of circle is of the form
x² + y² + 2gx + 2fy + c = 0
Again, values of three unknowns (g, f and c) are necessary for obtaining equation of a certain circle. So in both cases, values of three unknowns are required to have an equation of a distinct circle. In order to calculate, the values of these three unknowns, we must first require three conditions that would be produced by three equations. Solving those equations, allows us to construct the equation of circle. So if only two points are given, then these gives two equations with three unknowns. It would be impossible to get three distinct values from two equations. So, there is no possible distinct circle for two points.
To learn more about Equation of circle , refer:
https://brainly.com/question/1506955
#SPJ4
What is the slope of a line that is parallel to the line y=2/3x+5
Answer: 2/3
Step-by-step explanation: The slopes of parallel lines are equal/the same but they have different y intercepts
return the average high school gpa of all students who were born during april, may, and june of 2005
To determine average high school GPA of students we would need access to dataset that includes birth dates and high school GPAs of the students. Without specific data, it is not possible to provide an average GPA.
Collecting the required data involves accessing student records or conducting surveys to gather information on birth dates and high school GPAs. Once the data is obtained, the average GPA can be calculated by summing up the GPAs of all students born during April, May, and June of 2005 and dividing it by the total number of students in that group.
It's important to note that the average GPA will be specific to the dataset or sample of students used for the calculation. If the dataset is representative and unbiased, the average GPA can provide an estimation of the average performance of students born during those months in 2005. However, if the dataset is limited or not representative, the calculated average may not accurately reflect the overall average high school GPA of all students born during that period.
To learn more about GPA click here : brainly.com/question/1686355
#SPJ11
f(x)=2x+1; find f(3)
Step-by-step explanation:
hope my answer helps you mark me brainliest hope your day goes wellFind the value of 9x + 4y when x = 4 and y=-5
Answer:
16
Step-by-step explanation:
substitute the values into the equation
9(4)+4(-5)
solve...
36-20=16
Answer:
16
Step-by-step explanation:
9x + 4y
Let x =4 and y = -5
9(4)+ 4(-5)
36 -20
16
ERASE
When Marilyn was bom, her parents put $9,000 into a college fund
account that earned 9% simple interest. What was the total
amount in the account at the end of 18 years?
I = PRT
=4000 - 0.09-13
19580 account
Answer
Explain why this is incorrect and what Aliyah
needs to do to make it correct.
Answer:
$23580
Step-by-step explanation:
I = PRT/100 = 9000*9*18/100 = $14580
amount in the account at the end of 18 years
= $9000 + $14580
= $23580
Write an equivalent unit rate to eating 3 pieces of popcorn in 1/5 of a minute ____ pieces of popcorn per minute
Answer: 15
Step-by-step explanation:
slow eater lol.
in one fifth of a minute, they ate 3 pieces. so add the other four fifths, 3 + 3 + 3 + 3 + 3, and youll get 15. easier to just multiply tho, 1/5 is 3, so 5/5 would be 3(5) = 15. hope this helps
sales for a company were 3 million dollars more the second year than the firat and the salea for the third year were doubled the sales for tha second uear. if sales for the third uear were 26 million dollars, what were salea, in millioms of dollara for the next year A 6 B 7 C 10 D 12
The sales, in millions of dollars, for the next year would be option D, $12 million.
The question asks for the sales of a company in the fourth year, given the sales of the previous three years. The question provides information about the sales of the company in the second and third years. The sales in the second year were $3 million more than the first year, and the sales in the third year were double the sales in the second year, which amounted to $26 million.
To find the sales in the first year, we can subtract $3 million from the sales of the second year:
Sales in the first year = Sales in the second year - $3 million
Sales in the first year = (Sales in the third year / 2) - $3 million
Sales in the first year = $26 million / 2 - $3 million
Sales in the first year = $10 million
Now that we know the sales for the first, second, and third years, we can calculate the sales for the fourth year. The sales in the fourth year would be the sales in the third year doubled, which is:
Sales in the fourth year = Sales in the third year x 2
Sales in the fourth year = $26 million x 2
Sales in the fourth year = $52 million
To learn more about millions, visit:
https://brainly.com/question/762072
#SPJ11
What is a parabola parent function?
The parent function of a parabola is y = x².
A function is said to be a parent function if it is expressed in the simplest form and satisfies the definition of a particular type of function.
The simplest function that satisfies the definition of a parabola is given by y = x². It is also called quadratic function.
Its graph passes through the origin (0,0) and lies in first and second quadrant.
One or more parabolas can be easily obtained by transforming the parent function of the parabola.
Therefore, the parent function of parabola is given by y = x².
To know more about parabola here:
https://brainly.com/question/21685473#
#SPJ4
What is an equation of the line that passes through the points (-8, 4) and (-8, 8)?
Answer:
x = -8
Step-by-step explanation:
The line is a vertical line with x-intercept of -8
What are the solutions of 6t-1> 4t+13
answer:t>7
6t - 1> 4t + 13 Move the terms 6t - 4t> 13 + 1 Group the like terms Calculate 2t> 14 Divide both sides Solution t> 7 Alternate between E (7, + 0) Explain the steps> II
Solve this please .
b/24= -6 for b
Answer:
b = -144
Step-by-step explanation:
b/24 = -6
Multiple 24 on both sides since it's being divided.
b = -144
Answer:
\( \sf \: b = - 144\)
Step-by-step explanation:
Now we have to,
→ find the required value of b.
The equation is,
→ b/24 = -6
Then the value of b will be,
→ b/24 = -6
→ b = (-6) × 24
→ [ b = -144 ]
Hence, the value of b is -144.
what is the lowest base in which the number 1000 could be a valid number?
The highest power of 2 that is less than or equal to 1000 is 2^9, which gives us the required representation of 1000.
In mathematics, a base is the number of digits or distinct symbols used to represent numbers in a positional numeral system. For example, in the decimal system (which we commonly use), the base is 10 because we use 10 distinct digits from 0 to 9.
Now, let's consider the number 1000. In order to find the lowest base in which this could be a valid number, we need to break down 1000 into its constituent digits. Since 1000 has 4 digits, we can represent it as:
1000 = 1 x base^3 + 0 x base^2 + 0 x base^1 + 0 x base^0
where base is the number system we are using. Now, we need to find the lowest value of base that makes this equation valid.
We can see that if we set base = 2, then the equation becomes:
1000 = 1 x 2^9 + 0 x 2^8 + 0 x 2^7 + 0 x 2^6 + 0 x 2^5 + 0 x 2^4 + 0 x 2^3 + 0 x 2^2 + 0 x 2^1 + 0 x 2^0
Here, we have used the binary system, which has a base of 2. As we can see, the highest power of 2 that is less than or equal to 1000 is 2^9, which gives us the required representation of 1000.
To know more about Number visit:
https://brainly.com/question/3589540
#SPJ11
13 points !!!!!! length and width of a traingle!
Answer:
just look it up or multiply 35 by 55 then divide it by 2 lol
Answer:
To find the area of a triangle, we multiply the length times the width and divide it by two. We often refer to the 'length' and 'width' by the terms 'base' and 'height' when talking about triangles. So, in this case, we would multiply 35 by 55, then divide it by 2. :)
Step-by-step explanation:
A 13-foot board is cut into two pieces. The length of the shorter piece is 1 ft more than half the length of the longer piece. Find the length (in ft) of the shorter piece.
Answer: 1
Step-by-step explanation: 1
Length of the shorter piece of board is equals to 5foot.
What is length?
" Length is defined as the distance between two end points of any object."
According to the question,
Length of the board = 13foot
'l' represents the length of the longer piece
As per the condition given we have,
Length of the shorter piece = \(\frac{l}{2} +1\)
Therefore,
\(l + \frac{l}{2}+1=13\)
⇒ \(\frac{3l}{2} =13-1\)
⇒\(l= \frac{2}{3} (12)\)
⇒ \(l= 8foot\)
Length of the shorter piece = \(\frac{8}{2} +1\)
= \(5foot\)
Hence, length of the shorter piece of board is equals to 5foot.
Learn more about length here
https://brainly.com/question/8552546
#SPJ2
A line passes through the points (–20, –18) and (–2, –18). What is its equation in slope-intercept form?
Answer:
slope: -18+18/-2+20
slope: 0:
y = -18
Help me out yall PLEASE
Subtract -5x^2-9x+8 from −6x ^2+5
the teacher could best help the students understand that the triangle is equivalent to half a square by
The teacher can use a combination of these methods to help the students understand that a triangle is equivalent to half a square.
In order to help the students understand that the triangle is equivalent to half a square, the teacher can adopt different methods, including the following:
1. Drawing diagrams of the triangle and the square to show the comparison. The teacher can draw diagrams of a triangle and a square on the board and label the different parts.
They can then show the students that a triangle can be created by halving the square diagonally. This way, the students will be able to visualize the comparison and understand it better.
2. Demonstrating the concept practically. The teacher can also demonstrate the concept by using physical objects such as paper or cardboard.
They can show the students how to create a triangle by folding a square diagonally and cutting it along the fold. This way, the students will be able to see the practical application of the concept.
3. Using real-world examples. The teacher can also use real-world examples to help the students understand the concept better.
For example, they can show the students pictures of tents or rooftops that are shaped like triangles and explain how they are related to squares.
4. Conducting group discussions. The teacher can conduct group discussions where the students can share their understanding of the concept and ask questions.
This way, the students will be able to learn from each other and clarify any doubts they may have.
Overall, the teacher can use a combination of these methods to help the students understand that a triangle is equivalent to half a square.
The key is to use different approaches that cater to different learning styles and to encourage the students to participate actively in the learning process.
To know more about triangle, visit:
https://brainly.com/question/2773823
#SPJ11
Find the value of x.
Answer:
x = 3
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
5x × x = 5 × 9
5x² = 45 ( divide both sides by 5 )
x² = 9 ( take the square root of both sides )
x = \(\sqrt{9}\) = 3
5x+1=2x+10 (Please include the steps)
Answer:
x = 3
Step-by-step explanation:
5x + 1 = 2x + 10
1.) Subtract 2x from both sides to get 2x on the other side
5x - 2x + 1 = 10
2.) Subtract 1 from both sides to get 1 to the other side
5x - 2x = 10 - 1
3.) Combine like terms
3x = 9
4.) Divide 3 on each side to get x by itself
x = 3