Answer:
[See Below]
Step-by-step explanation:
\(Hey~There!\)
______________________
➜ To solve this, we have to subtract:
\(100-13=87\)➜ To make sure we are correct, we add:
\(87+13=100\)______________________
So your answer would be \(\bold~x=87\).
______________________
\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ
A quiz has twenty questions with 7 points awarded for each correct answer, 2 points deducted for each wrong answer and 0 for each question omitted. Jack scored 87 points. How many questions did he omit? My math teacher gave us this as an optional challenge problem for 8th grade math. I got stuck on it, so if someone could give me some hints or at least tell me what I should be doing, I’d appreciate it. Like how the heck do I know which ones are correct vs which ones are omitted? Is it a multiple answer problem?
(he got 2 wrong answers, and 13 correct answers)
=====================================================
Explanation:
c = number of correct answers
w = number of wrong answers
m = number of missing answers (ie, omitted answers)
7c = number of points awarded from just the correct answers
-2w = number of points awarded from the wrong answers. Note the negative to indicate we lose points here.
0m = 0 = points from the missing answers. We don't have to worry about this portion
In total, Jack would earn 7c-2w points. Since he actually earned 87 points, we can write the equation 7c-2w = 87. We'll come back to this later.
-----------------------
The quiz has 20 questions, so c+w+m = 20 is another equation we'll be working with. Solve for c to get c = -w-m+20. Plug this into the equation 7c-2w = 87 to get...
7c-2w = 87
7(-w-m+20)-2w = 87 ... replace c with (-w-m+20)
-7w-7m+140-2w = 87 ... distribute
-9w-7m+140 = 87
-9w-7m = 87-140
-9w-7m = -53
9w+7m = 53
----------------------
From here, you use trial and error. We don't have enough information to finish solving the system. We would need 3 equations to solve for the 3 unknowns.
What we can do is make a guess of what w could be and use that to find m. Luckily there is a small list of possible values for w.
So let's say w = 0
9w+7m = 53
9(0)+7m = 53 ... plug in w = 0
7m = 53
m = 53/7 ... divide both sides by 7
m = 7.57
We got a non-whole number, so there is no way w = 0 since we can't have 0.57 of a question missing. Jack either answers the question, or he skips it. He can't have both happen.
---------------------
Let's repeat for w = 1
9w+7m = 53
9(1)+7m = 53 ... replace w with 1
9+7m = 53
7m = 53-9 ... subtract 9 from both sides
7m = 44
m = 44/7 ... divide both sides by 7
m = 6.28
So we can see that w = 1 isn't possible either.
---------------------
However, w = 2 is possible
9w+7m = 53
9(2)+7m = 53
18+7m = 53
7m = 53-18
7m = 35
m = 35/7
m = 5
Meaning that Jack got w = 2 wrong answers and skipped over m = 5 questions. The number of correct answers is c = 20-m-w = 20-5-2 = 13
-----------------------------------
An alternative to using trial-and-error is to use a graph.
Replace w and m with x and y respectively. So we go from 9w+7m = 53 to 9x+7y = 53
Use a graphing tool, or plot the graph on graph paper, to get what you see in the diagram below. I used the program GeoGebra to graph.
Then notice how the graph goes through the point (2,5) which means x = 2 and y = 5. Replace x and y with w and m to find (w,m) = (2,5)
note: the point (5,1) looks like it also lies on the graph, but it is not a solution. It's just a point that is very close to the line. I recommend you try out (w,m) = (5,1) and you'll see it doesn't work.
Solve. −34(x+7)=36 x=−38.2/3 x=−41 x=−55 x=−57.1/3
Answer:
X= -8.059
Step-by-step explanation:
Given
. −34(x+7)=36
We can open the bracket
-34x - 238=36
We can collect like terms
-33x = 36+238
-34x = 274
Divide both side by -34
X= 274/34
X= -8.059
If test the options non is equivalent to the gotten answer.
Please Help super fast for 20 points- Find the scale factor ABC PQR
The scale factor used in the dilation of the triangles is 2/3
Determining the scale factor used in the dilationFrom the question, we have the following parameters that can be used in our computation:
ABC = 18
PQR = 12
The scale factor is calculated as
Scale factor = PQR/ABC
Substitute the known values in the above equation, so, we have the following representation
Scale factor = 12/18
Evaluate
Scale factor = 2/3
Hence, the scale factor used in the dilation of the triangles is 2/3
Read more about scale factor at
brainly.com/question/32805792
#SPJ1
At a store each notebook has a cost of
inequality?
dollars. Which situation can be represented by this
5x < 3x + 2
A The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.
B The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon,
C The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.
D The cost of 5 notebooks is $2 greater than the price of 3 notebooks.
Answer:
The answer is C.
Step-by-step explanation:
The < sign means that it will be less than so you can remove A and D. But it's not B either because of the $2 off coupon. Off means you would be subtracting meaning it'll look like this 5x < 3x - $2. So the correct answer is C.
Hope this helps!
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The act of converting mathematical equations into a specified statement is known as equation-to-sentence transformation.
The inequality is given below.
5x < 3x + 2
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ5
* PLEASE HURRY* Here is the graph for one equation in a system of equations:
(0,4) (5.5,0)
Write an equation for the system so it has infinitely many solutions.
Write a second equation whose graph goes through (0,1) so the system has no solutions.
Write a third equation whose graph goes through (0,2) so the system has one solution at (4,1).
Answer:
1) The equation that has infinitely many solution is y = -8/11·x + 4
2) The equation of the graph that has no solution is y = -8/11·x + 1
3) The equation of the line that has only one solution is y = -1/4·x + 2
Step-by-step explanation:
1) The points on the graph are;
(0, 4), and (5.5, 0)
The slope of the line defined by the given two points, we have;
(0 - 4)/(5.5 - 0) = -40/55 = -8/11
The equation of the straight line graph in point and slope form, we have;
y - 4 = -8/11 × (x - 0)
y - 4 = -8/11·x
For the equation for the system that has infinitely many solution, we have;
y = -8/11·x + 4
2) For the equation whose graph foes through the point (0, 1) and the system has no solution, we have;
An equation that has no solution with the equation y = -8/11·x + 4, is parallel to y = -8/11·x + 4, and therefore, the slope are equal
Therefore, the equation whose graph foes through the point (0, 1) and the system has no solution, in point and slope form is given as follows;
y - 1 = -8/11 × (x - 0)
y - 1 = -8/11·x
The equation of the graph that has no solution is therefore;
y = -8/11·x + 1
3) For the equation of the graph that goes through the point (0, 2), and has a common solution with the system at (4, 1), we have;
The slope of the graph is (1 - 2)/(4 - 0) = -1/4
The equation of the line that has only one solution with the system in point and slope form is given as follows;
y - 2 = -1/4×(x - 0)
y - 2 = -1/4·x
The equation of the line that has only one solution in standard form is therefore;
y = -1/4·x + 2
In the Green Food System Strategy, the "vision to be achieved by 2050" (numerical targets) is presented. Select the number of the following targets that are correctly described.
-Chemical pesticide use (in terms of weight) will be reduced by 50% by 2050.
-With regard to chemical fertilizers, the use of chemical fertilizers produced in Japan from fossil fuels will be reduced by 30% by 2050.
-Regarding organic agriculture, expand the organic market and increase the ratio of organic farming to arable land to 30% (1 million hectares) by 2050.
-Regarding food loss, reduce household food loss by half from the FY2000 level by 2030.
a. 0 b. 1 c. 2 d. 3 or more
Option c. 2
Among the given targets, two targets are correctly described:
Regarding chemical pesticide use, the target is to reduce it by 50% by 2050. This aligns with the vision presented in the Green Food System Strategy.
In terms of chemical fertilizers, the target is to reduce the use of chemical fertilizers produced in Japan from fossil fuels by 30% by 2050. This target is also consistent with the strategy's vision.
The remaining two targets are not correctly described:
The target of expanding the organic market and increasing the ratio of organic farming to arable land to 30% (1 million hectares) by 2050 is not mentioned in the given options.
The target of reducing household food loss by half from the FY2000 level by 2030 is also not mentioned in the given options.
Therefore, the correct answer is option c. 2, as two of the targets are accurately described in the provided options.
Learn more about chemical pesticide here:
https://brainly.com/question/28045448
#SPJ11
2. Refer to matrix B and identify the matrix element b11
-3
6
1/2
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the matrix is not given.
The general form of a matrix is:
\(b[m*n] =\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}........b{1n}}\\b_{21}&b_{22}&b_{23}........b{2n}\\b_{31}&b_{32}&b_{33}........b{3n}\\ \\ \\b_{m1}&b_{m2}&b_{m3}........b{mn}\end{array}\right]\)
Where m and n represent the \(number\ of\ rows\ and\ columns\) respectively.
Notice the position of b11
This means that b11 is at the first column and first row.
Take for instance matrix b is:
\(b = \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)
The element at the first row and first column is 1.
Hence
\(b_{11} = 1\)
The series expansion of the exponential function around zero is ex=∑n=0[infinity]n!xn=∑n=0[infinity]cn(x), where the last equality defines cn(x). Show that cn(x) can easily be computed from cn−1(x). Use the previous result to make a function that computes an approximation of the exponential by computing the Taylor series to order N. Make it such that it only keeps two local variables. Make a plot of the convergence with N by comparing the result to numpy's evaluation of the exponential for some x.
We have to show that cn(x) can easily be computed from cn-1(x).Then, cn(x) is given by:cn(x) = (1/n) * x * cn-1(x), for n>0, and c0(x) = 1. Let’s write a Python function to compute the Taylor series of the exponential function of order N. We will make it such that it only keeps two local variables.
We can compute the exponential function using the Taylor series as follows:
def exp_taylor(x, N):
sum = 1.0
term = 1.0
for n in range(1, N):
term *= x / n
sum += term
return sum
This function takes two arguments x and N, where x is the value for which the exponential function is to be computed, and N is the order of the Taylor series expansion. The function returns the sum of the Taylor series up to the Nth order.
Now, let’s make a plot of the convergence with N by comparing the result to numpy's evaluation of the exponential for some x. We can use the matplotlib library to make a plot.
The following code does this:
import numpy as npimport
matplotlib.pyplot as plt
#define the values of x
N = 100
x = np.linspace(-5, 5, N+1)
#compute the exponential using the Taylor series
y_taylor = [exp_taylor(xi, N) for xi in x]
#compute the exponential using numpy
y_np = np.exp(x)
#make the plot
plt.plot(x, y_taylor, label='Taylor')
plt.plot(x, y_np, label='Numpy')plt.xlabel('x')
plt.ylabel('y')plt.legend()plt.show()
To know more about Taylor series refer here:
https://brainly.com/question/32235538
#SPJ11
From each of the following sets make all possible ordered pairs,
(a) P= {x,y)
(b) X= {1, 2, 3)
Answer:
All possible ordered pairs are as follows:
{(x, 1), (x, 2), (x, 3), (y, 1), (y, 2), (y, 3)}Step-by-step explanation:
In an ordered pair (x, y),
x is called the first component y is called the second component.Let
P = {x, y}
X = {1, 2, 3}
The number of elements in the set P = n(P) = 2The number of elements in the set X = n(X) = 3So, the number of possible ordered pairs = 2 × 3 = 6
Therefore, all possible ordered pairs are as follows:
{(x, 1), (x, 2), (x, 3), (y, 1), (y, 2), (y, 3)}What is the equation of the line?
please help, thank you!
What is the value of S3 for infinity sigma n=1 5(1/3)^n-1
A. 20/9
B. 20/3
C. 65/9
D. 65/3
Answer:
C 65/9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
HURRY I NEED THIS IN 20 mins please help me
Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.
Answer:
f(x) = -100(1.05)^(x+5) + 50
Step-by-step explanation:
Here, we want to write an equation that represents the transformation
5 units right means 5 units on the positive x-axis
50 units up means we add this to the total y value
So the resulting equation will be;
f(x) = -100(1.05)^(x+5) + 50
scout troop 456 has 24 members. the scoutmaster appoints a 5-member campout crew composed of a leader, a cook, and a cleanup crew (3 scouts). how many different campout crews are possible?
As per the combination method, there are 42504 different campout crews are possible.
Combination method:
In math, combination method means a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given,
Scout troop 456 has 24 members. the scoutmaster appoints a 5-member campout crew composed of a leader, a cook, and a cleanup crew (3 scouts).
Here we need to find the number of different campout crews are possible.
According to the nCr formula, here the value of
n = 24
And the value of r = 5
Then the number of possible combinations are calculated as,
=> ²⁴C₅ = 24!/5!(24 - 5)!
=> ²⁴C₅ = 24!/5!19!
=> ²⁴C₅ = 42504
To know more about Combination method here.
https://brainly.com/question/28998705
#SPJ4
what is 2+5+2+4? what is the sum
Answer:
13
Step-by-step explanation:
add 2 and 5
add 2 and 4
add 7 and 6
13
Answer:
13
Step-by-step explanation:
A-One Talent Agency has 109 clients. 46 of the clients play piano and 58 of the clients play guitar. 17 clients play both the piano and the guitar. How many of the clients do not play either instrument?
Number of clients who do not play either the piano or the guitar is 22
To find the number of clients who do not play either instrument, we need to subtract the number of clients who play either the piano or the guitar or both from the total number of clients.
Let A be the set of clients who play the piano, and B be the set of clients who play the guitar. Then, we can use the formula A union B
|A ∪ B| = |A| + |B| - |A ∩ B|
where |A ∪ B| is the number of clients who play either the piano or the guitar or both, |A| is the number of clients who play the piano, |B| is the number of clients who play the guitar, and |A ∩ B| is the number of clients who play both instruments
Substituting the given values, we get
|A ∪ B| = 46 + 58 - 17
|A ∪ B| = 87
Therefore, the number of clients who do not play either instrument is:
109 - 87 = 22
Learn more about union here
brainly.com/question/29055360
#SPJ4
help me please !!! correct answer gets brainliest
Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.
0.3 is less than 30.
Step-by-step explanation:
1) Pansy Meadows Primary Care Clinic provides routine diagnostic and treatment services for common illnesses. Assume they see 1000 patients per month for office visits. (We have not looked at data in this way in class. Think about what it is telling you and try to logic your way through it.) A) What is Pansy Meadow Primary Care Clinic's total revenue per month? B) Assume that PMPCC's fixed costs are \$25000 per month and their variable costs are S10 per office visit. What is their monthly profit (loss)? C) What would happen to your profitability of the commercial insurance company changed their reimbursement rate to $65? D) What if the Commercially Insured Patients were all covered by a capitated contract. Instead of being reimbursed per service, (this is not changing the total number of office visits PMPCC treats), they are paid by the commercial insurance company \$2 PMPM to be available to provide services. i. What are PMPCC's monthly revenue ii. What is PMPCC's monthly profit/loss?
A) Pansy Meadows Primary Care Clinic's total revenue per month is $10,000. B) The clinic's monthly profit is a loss of $15,000. C) if the commercial insurance company changes the reimbursement rate to $65, the monthly profit would be $30,000. D) if all commercially insured patients are covered by a capitated contract, the monthly profit would be a loss of $33,000.
To calculate the clinic's total revenue, monthly profit/loss, and the impact of changes in reimbursement rates, we'll use the given information and perform the necessary calculations.
Given:
Number of office visits per month = 1000
Fixed costs = $25,000 per month
Variable costs per office visit = $10
A) Total revenue per month:
Revenue per office visit = $10 (variable cost per visit)
Total revenue per month = Revenue per office visit * Number of office visits per month
Total revenue per month = $10 * 1000
Total revenue per month = $10,000
Therefore, Pansy Meadows Primary Care Clinic's total revenue per month is $10,000.
B) Monthly profit (loss):
Profit (loss) = Total revenue per month - Fixed costs - (Variable costs per office visit * Number of office visits per month)
Profit (loss) = $10,000 - $25,000 - ($10 * 1000)
Profit (loss) = -$15,000
Therefore, the clinic's monthly profit is a loss of $15,000.
C) Impact of changing the commercial insurance reimbursement rate to $65:
To determine the impact on profitability, we need to recalculate the monthly profit using the new reimbursement rate.
New total revenue per month = $65 * 1000 = $65,000
Profit (loss) = New total revenue per month - Fixed costs - (Variable costs per office visit * Number of office visits per month)
Profit (loss) = $65,000 - $25,000 - ($10 * 1000)
Profit (loss) = $30,000
Therefore, if the commercial insurance company changes the reimbursement rate to $65, the monthly profit would be $30,000.
D) Impact of all commercially insured patients being covered by a capitated contract:
i. Monthly revenue:
Revenue per patient per month = $2 (capitated payment per patient)
Monthly revenue = Revenue per patient per month * Number of office visits per month
Monthly revenue = $2 * 1000
Monthly revenue = $2,000
ii. Monthly profit/loss:
Profit (loss) = Monthly revenue - Fixed costs - (Variable costs per office visit * Number of office visits per month)
Profit (loss) = $2,000 - $25,000 - ($10 * 1000)
Profit (loss) = -$33,000
Therefore, if all commercially insured patients are covered by a capitated contract, the monthly profit would be a loss of $33,000.
Learn more about reimbursement here:
https://brainly.com/question/33215161
#SPJ11
Determine the truth value of the following conditional statement. If true, explain your reasoning. If false, give a counterexample.
Write the converse, inverse, and contrapositive of the following true conditional. Then, determine whether each related conditional is true or false. If a statement is false, find a counterexample.
If two angles are congruent, then they have the same degree measure.
The original conditional statement is true: "If two angles are congruent, then they have the same degree measure." The converse is true: "If two angles have the same degree measure, then they are congruent." The inverse is true: "If two angles are not congruent, then they do not have the same degree measure." The contrapositive is true: "If two angles do not have the same degree measure, then they are not congruent."
The given conditional statement is: "If two angles are congruent, then they have the same degree measure."
The truth value of this conditional statement is true.
Reasoning:
The statement is a well-known mathematical fact. Congruent angles are defined as angles that have the same measure. Therefore, if two angles are congruent, it implies that they have the same degree measure. This statement holds true for all pairs of congruent angles.
Converse: "If two angles have the same degree measure, then they are congruent."
The converse of the given conditional statement is also true. If two angles have the same degree measure, it implies that they are congruent. This is a logical consequence of the definition of congruent angles.
Inverse: "If two angles are not congruent, then they do not have the same degree measure."
The inverse of the given conditional statement is also true. If two angles are not congruent, it implies that they do not have the same degree measure. This is the negation of the original statement.
Contrapositive: "If two angles do not have the same degree measure, then they are not congruent."
The contrapositive of the given conditional statement is true. If two angles do not have the same degree measure, it implies that they are not congruent. This is the negation of the converse statement.
In summary:
- The original conditional statement is true: "If two angles are congruent, then they have the same degree measure."
- The converse is true: "If two angles have the same degree measure, then they are congruent."
- The inverse is true: "If two angles are not congruent, then they do not have the same degree measure."
- The contrapositive is true: "If two angles do not have the same degree measure, then they are not congruent."
All related conditionals are true, and no counterexamples can be found for any of the statements.
Learn more about congruent here
https://brainly.com/question/29789999
#SPJ11
Conduct a survey of your friends (10) to find which kind of Game (indoor/outdoor) they like the most. Note
down the name of games. Represent the information in the form of: (i) Bar graph (ii) Pie chart
Based on hypothetical data, one can create a bar graph and a pie chart by following the steps below
(i) Bar graph:
To make a bar graph, one need to plot the number of friends who prefer each type of game on the y-axis and the types of games (indoor/outdoor) on the x-axis.
So lets say:
Indoor: 5 friendsOutdoor: 5 friendsThen draw a horizontal axis (x-axis) and a vertical axis (y-axis) on a graph paper or the use of a software tool.So Mark the x-axis with the game types (indoor and outdoor).Mark the y-axis with the number of friends.Draw rectangular bars standing the number of friends for each game type. What is the survey?To make (ii) Pie chart:
Show the game type as a portion of a circle.Calculate the percentage of friends who like each game type. Lets saythat, both indoor and outdoor games have an equal percentage of 50%.So, Draw a circle and mark the center.Then divide the circle into two sectors, each standinf for the percentage of friends who prefer a particular game type.
Lastly, label all sector with the all the game type (indoor/outdoor).
Learn more about Bar graph from
https://brainly.com/question/24741444
#SPJ1
Using a hypothetical scenario, the data collected are given below:
Friend 1: Indoor
Friend 2: Outdoor
Friend 3: Indoor
Friend 4: Outdoor
Friend 5: Outdoor
Friend 6: Indoor
Friend 7: Indoor
Friend 8: Outdoor
Friend 9: Indoor
Friend 10: Outdoor
If Aiden and Natalie each set the arm length of their catapults to 55 centimeters, which statement
is true?
If two exact objects are thrown from identical catapults, it is expected the catapult with the longer arm length throws the ball farther.
What factors determine how far an object can reach using a catapult?Some of the factors that influence the distance in this case are:
Force or tension in the catapult.Angle.Arm length.Mass of the object thrown.How does the arm length affect the distance?In general, an increased arm length increases the distance. This means that the catapult with a longer arm length will throw the ball farther.
Note: This question is incomplete because there is not enough information about the catapults; due to this, I answered it based on general knowledge.
Learn more about catapults in: https://brainly.com/question/13768831
Answer:
Natalie's catapult will launch the ball further than Aiden's catapult will
Step-by-step explanation:
Let A = A[1]... A[n] be an array of n distinct positive integers (the value of these integers could be very very large). An inversion is a pair of indices i and ; such that i Aj For example in the array(30000, 80000, 20000, 40000, 10000), the pair i = 1 and j = 3 is an inversion because A[1] = 30000 is greater than A[3] = 20000. On the other hand, the pair * = 1 and j = 2 is not an inversion because A[i] = 30000 is smaller than A[2] = 80000. In this array there are 7 inversions and 3 non-inversions, (a) Describe in one sentence the natural brite-force algorithm. (b) What is the complexity of the natural brute-force algorithm? (No explanation.) (e) Now give an O(n log ni)-time algorithm. (Hint: with some added bookkeeping this problem can be solved by an algorithm from class.)
(a) The natural brute-force algorithm for counting inversions in an array is to compare each pair of elements and count the inversions.
(b) The complexity of the natural brute-force algorithm is O(n²), where n is the size of the array.
(c) One possible algorithm to count inversions in O(n log n) time is the merge sort algorithm with some additional bookkeeping.
The steps of the algorithm are as follows:
1. Divide the array into two halves.
2. Recursively count the inversions in each half.
3. Merge the two sorted halves while counting the inversions.
4. Return the total count of inversions.
Here's the implementation of the algorithm:
def count_inversions(arr):
if len(arr) <= 1:
return arr, 0
mid = len(arr) // 2
left, inv_left = count_inversions(arr[:mid])
right, inv_right = count_inversions(arr[mid:])
merged, inv_merge = merge_and_count(left, right)
total_inversions = inv_left + inv_right + inv_merge
return merged, total_inversions
def merge_and_count(left, right):
merged = []
inversions = 0
i = 0
j = 0
while i < len(left) and j < len(right):
if left[i] <= right[j]:
merged.append(left[i])
i += 1
else:
merged.append(right[j])
j += 1
inversions += len(left) - i
merged += left[i:]
merged += right[j:]
return merged, inversions
# Usage example
arr = [30000, 80000, 20000, 40000, 10000]
sorted_arr, inversions = count_inversions(arr)
print("Inversions:", inversions)
The above algorithm has a time complexity of O(n log n) because it performs a divide-and-conquer approach using merge sort, and the merging step takes O(n) time while splitting the array recursively takes O(log n) time.
Learn more about algorithm here:
https://brainly.com/question/31970493
#SPJ11
Help me solve this please?
Answer:
x = − 1 ± √6, so A + D I believe
Step-by-step explanation:
convert to 75 km/ into m/s
Answer:
1(kilometer/hour) = 1000(meters) / 3600(seconds) can also be expressed as 1(kilometer/hour) = 5/18 (meters/second), which is its simplified form. To convert km/h to m/s, directly multiply the given value of speed by the fraction 5/18
Step-by-step explanation:
so the answer wil be 20.8333 m/s
HELP ME PLEASE I'll give brainiest
Answer:
111 degrees
Step-by-step explanation
Alternate int. Angles
what is the minimum distance you can park from a driveway leading from a fire department?
The minimum distance you can park from a driveway leading from a fire department can vary depending on the local laws and regulations in your area.
However, it is important to keep in mind that fire departments need clear and unobstructed access to their driveways at all times, in case of an emergency.
In many areas, the law requires a minimum distance of 20 feet from the edge of a fire department driveway to the nearest parked vehicle. This distance allows fire trucks and emergency vehicles enough space to turn, enter, and exit the driveway without any obstruction or delay.
It is also important to note that blocking a fire department driveway can result in a hefty fine or even a vehicle being towed away. This is because obstructing the entrance and exit to a fire department can cause unnecessary delay, which can be dangerous or even fatal in emergency situations.
Overall, it is important to always be aware of your surroundings and the laws in your area when parking near a fire department or any other emergency service. By doing so, you can ensure the safety and accessibility of these essential services at all times.
To know more about distance visit:
https://brainly.com/question/15172156
#SPJ11
Find an equation for the line with the given properties. Express your answer using either the general form or the slope intercept form of the equation of a line
We are given the line
x - 5y = -4
We need to get this in slope intercept form
x-5y -x = -x-4
-5y = -x-4
Divide by -5
05y/-5 = -x/-5 -4/-5
y = 1/5x + 4/5
The slope oif this line is 1/5
We want to find a line that is parallel. Parallel lines have the same slope, so the new line will have a slope of 1/5
The new line contains the point(0,0)
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 1/5x + 0
y = 1/5x
(We know the y intercept is 0 since the point is (0,0) it crosses the y axis at 0)
Adams Company revenues are $500 on invested capital of $250. Expenses are currently 60% of sales. If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be _____.
Answer:
100%
Step-by-step explanation:
The formula to calculate the return on investment is:
ROI=(Net Profit/Total Investment)*100
Net profit=Revenues-expenses=500-(500*0.6)=500-300=200
Total investment=250-(250*0.2)=250-50=200
Now, you can replace the values:
ROI= (200/200)*100
ROI= 100%
According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.
Solving Inequalities
Jade saves dimes and quarters to use for exact bus fare. So far, she has saved 30 coins that have a total value of less than $5.10. Solve the inequality 10x+25(30-x) < 510 and use the solution the determine the least number of dimes that Jade could have saved.
????????
Step-by-step explanation:
a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1 are the two shapes equal in perimeter?
Answer:
yes
Step-by-step explanation:
Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.
Given, A rectangle with sides of length n+2 and n.
∴ Perimeter = 2((n + 2) + n)
= 2(2n + 2).
= 4n + 4.
Also given, A square with sides of length n + 1.
∴ Perimeter = 4(n + 1).
= 4n + 4.
So, yes the two shapes are equal in the perimeter.
learn more about rectangles here :
https://brainly.com/question/6465134
#SPJ2
What happens to the energy after cellular respiration? What happens to the carbon dioxide and water?
Answer:
Through the process of cellular respiration, the energy in food is converted into energy that can be used by the body's cells. During cellular respiration, glucose and oxygen are converted into carbon dioxide and water, and the energy is transferred to ATP.Step-by-step explanation: