The value of input are {1, 2, 3, 4, 5}.
The value of output are {4, 5}.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
The points are given as;
{(1, 5) , (2, 4) , (3, 5) , (3, 4) , (4, 4) , (5, 5)}
Now, All points are shown in graph.
Clearly, The input of points are,
x = {1, 2, 3, 4, 5}.
And, The output of points are,
y = {4, 5}
So, The value of input are {1, 2, 3, 4, 5}.
The value of output are {4, 5}.
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Determine the equation, in vertex form, of a parabola that has been:
(a) reflected in the x-axis and horizontally shifted right 4 units.
(b) vertically compressed by a factor of 1/4 and vertically translated 5 units down
(c) vertically stretched by a factor of 4, translated 3 units left and 2 units up
Answer:
\(a)\ y=-(x-5)^2;\\b)\ y=4x^2-5;\\c)\ (y-2)^2=4*(x+3).\)
Good luck!
Situation #4
Flywithus Airlines is updating its security system at a major airport. The budget for new metal detectors is
$75,000. The airline has a maximum of 18 security guards available for each shift. There are two types of
metal detectors available. Unit A costs $5000, requires 1 security guard and can process 300 people per hour.
Unit B costs $7500, requires 2 security guards and can process 500 people per hour. Since Unit B has a better
reliability record, the purchasing agent has mandated that at least 4 units must be type B. Determine the
number of units of each type that should be purchased to maximize the number of people processed.
p. Define the variables
q. Write the constraints.
The number of units of each type that should be purchased to maximize the number of people processed is 6 unit A and 6 unit B.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
What are variables?Any mathematical object has a symbol, and that symbol is called a variable. A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.
Given that,
The budget for new metal detectors is $75,000.
Maximum of 18 security guards available for each shift.
Unit A costs $5000, requires 1 security guard and can process 300 people per hour.
Unit B costs $7500, requires 2 security guards and can process 500 people per hour.
Let x = unit A
Let y = unit B
N = 300x + 500y
Here, 5000x + 7500y ≤ 75000
X+2y≤ 18
y≥4
x≥0
Hence,
(0, 9) = 300(0) + 500(9)
(0, 9) = 4500
(0, 4) = 300(0) + 500(4)
(0, 4) = 2000
(9, 4) = 300(9) + 500(4)
(9, 4) = 4700
since,
(6, 6) = 300(6) + 500(6)
(6, 6) = 4800
Therefore, flywithus should buy 6 unit A and 6 unit B to maximize the number of people processed.
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Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v, and w. u = i + j v = j + k w + i + k
Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
when preparing a frequency distribution, the lower limit of the first class (class interval) should always be
When preparing a frequency distribution, the lower limit of the first class (class interval) should always be the smallest value in the data set.
To create a frequency distribution, you first need to determine the range of the data set by finding the difference between the largest and smallest values. Next, you will need to decide on the number of classes or intervals you want to use and the width of each class.
Once you have these values, you can begin creating the frequency distribution by determining the lower and upper limits of each class. The lower limit of the first class should be the smallest value in the data set, and the upper limit of the first class should be the lower limit plus the class width.
You will then continue this process for each subsequent class until you have included all of the data in the frequency distribution.
It is important to remember that the lower limit of the first class should always be the smallest value in the data set in order to accurately represent the distribution of the data.
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13% of a sample of 200 students do not like ice cream. what is the 95% confidence interval to describe the total percentage of students who do not like ice cream?
Using the z-distribution, the 95% confidence interval to describe the total percentage of students who do not like ice cream is:
(8.34%, 17.66%).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
For this problem, the estimate and the sample size are given, respectively, by:
\(\pi = 0.13, n = 200\)
Hence the bounds of the interval are:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 - 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.0834\)\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 + 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.1766\)As a percentage, the interval is:
(8.34%, 17.66%).
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what percent of the youths surveyed prefer reading electronic books round your answer to the nearest tenth of a percent?
The percentage of youths surveyed that prefer reading electronic books is 54%
What is percentage of a number?The percentage of a number represents a portion or fraction of that number expressed as a percentage. It is often used to describe a proportion or relative value.
To calculate the percentage of a number, you can use the following formula:
Percentage = (Part / Whole) * 100
To determine the percentage of youths that prefer electronic books is;
youths (electronic books) = number of electronic books(youth) / total number of youths.
youths (electronic books) = 40/(40 + 34) * 100
youths (electronic books) = 40/74 * 100
youths (electronic books) = 0.54 * 100
youths (electronic books) = 54%
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helpppppppppppppppppppppp i don't understand this at allllllll
Answer:
\(2^3 (3 x 5^2 + 2^2) = 600x+32 \) is the correct equation
Step-by-step explanation:
\(2^3 (3 x 5^2 + 2^2) = 600x+32\\ 2^4 (3 x 5^5 +2^2)= 150000x+64\\ 2^3 (3 x 5^2 +2^5) = 600x+256\\ 2^4 (3 x 5^5 +2^1^6)= 150000x+1048576\)
Hope this helps! Brainliest would be much appreciated!
Have a great day! : )
What is the first step to do in using substitution method?
Answer: Solve one equation for one of the variables.
Step-by-step explanation:
what are the hundred digits of pie?
Answer:
I've found a song for song for you
Step-by-step explanation:
3.14159, this is π
Followed by 2-6-5-3-5-8-9
Circumference over diameter
7-9, then 3-2-3
OMG! Can't you see?
8-4-6-2-6-4-3
And now we're on a spree
38 and 32, now we're blue
Oh, who knew?
7, 950 and then a two
88 and 41, so much fun
Now a run
9-7-1-6-9-3-9-9
Then 3-7, 51
Half way done!
0-5-8, now don't be late
2-0-9, where's the wine?
7-4, it's on the floor
Then 9-4-4-5-9
2-3-0, we gotta go
7-8, we can't wait
1-6-4-0-6-2-8
We're almost near the end, keep going
62, we're getting through
0-8-9-9, on time
8-6-2-8-0-3-4
There's only a few more!
8-2, then 5-3
42, 11, 7-0 and 67
We're done! Was that fun?
Learning random digits
So that you can brag to your friends
Multiply.
2x^4 (3x³ − x² + 4x)
Answer: A
Step-by-step explanation:
When multiplying: Numbers multiply with numbers and for the x's, add the exponents
If there is no exponent, you can assume an imaginary 1 is the exponent
2x⁴ (3x³ − x² + 4x)
= 6x⁷ -2x⁶ + 8x⁵
Answer:
A. \(6x^{7} - 2x^{6} + 8x^{5}\)
Step-by-StepLabel the parts of the expression:
Outside the parentheses = \(2x^{4}\)
Inside parentheses = \(3x^{3} -x^{2} + 4x\)
You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses
\(2x^{4}\) × \(3x^{3}\)
\(2x^{4}\) × \(-x^{2}\)
\(2x^{4}\) × \(4x\)
First, multiply the whole numbers of each value before the variables
2 x 3 = 6
2 x -1 = -2
2 x 4 = 8
Now you have:
6\(x^{4}x^{3}\)
-2\(x^{4}x^{2}\)
8\(x^{4} x\)
When you multiply exponents together, you multiply the bases as normal and add the exponents together
\(6x^{4+3}\) = \(6x^{7}\)
\(-2x^{4+2}\) = \(-2x^{6}\)
\(8x^{4+1}\) = \(8x^{5}\)
Put the numbers given above into an expression:
\(6x^{7} -2x^{6} +8x^{5}\)
Key Wordsdistribution
variable
like exponents
A cab driver charges a flat fee of 10$ per ride. The driver also charges $2.50 per mile driven. Write an expression to represent the total cost of a cab that drives x number of miles
A: 2.50x-10
B: 10x-2.50
C: 2.50x+10
D: 10x +2.50
Answer:
C. 2.50x+10
Step-by-step explanation:
if x represents the miles driven and it is 2.50 per mile driven then 2.50x is the first part of the equation. If there is a fee of 10 then that adds to the miles driven
What is the answer for this question
Answer:
It's the second one.
Step-by-step explanation:
It's the second one because the volume of the radius is v and 4/3 gives the radius and after that if you look at the second three then use a calculator to multiple the numbers up it tells you what the numbers are and the number give you r for the volume so it makes it the second one.
evaluate the limit of
\( \sqrt{x - 1} \)
approaches to
\( {1}^{ - } \)
Answer:
sorry homie im bad at math but download conects
Step-by-step explanation:
i just cheat my way through life
In the figure, m<2 = 44. What is the measure of <1?
Answer:
m∠1 = 112°
Step-by-step explanation:
To solve for m∠1, we need to find the supplementary angle and subtract from 180°. We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.
Therefore m∠2 + x + x = 180; combine x's
m∠2 + 2x = 180; substitute m∠2 = 44°
44 + 2x = 180; subtract 44 from both sides
2x = 136; divide by 2
x = 68°
Therefore using the supplementary angle
x + m∠1 = 180 (because it is supplementary)
68 + m∠1 = 180; subtract 68 from both sides
m∠1 = 112°
If f(x)= x
x+1
and f(g(x))=x, then what is g(x)? Select one: a. g(x)= x+1
1
b. g(x)=x+1 c. g(x)= x−1
1
d. g(x)=x−1
g(x) = x(g(x) + 1)g(x) = xg(x) + xg(x) + 1g(x) - xg(x)
= 1g(x) (1-x) = 1g(x)
= 1/(1-x)
Therefore, g(x) = 1/(1-x).Hence, the correct option is (D). g(x) = x − 1/1.
Given,
f(x) = x/(x+1) and f(g(x)) = x
To find g(x)
For this we substitute f(g(x)) = g(x)/(g(x) + 1)
in the place of x in the f(x).
Then, we get
f(g(x)) = g(x)/(g(x) + 1) = x ... equation (1)
To find g(x) from equation (1), we multiply both sides of equation (1) by
(g(x) + 1).We get
g(x) = x(g(x) + 1)g(x)
= xg(x) + xg(x) + 1g(x) - xg(x)
= 1g(x) (1-x) = 1g(x)
= 1/(1-x)
Therefore, g(x) = 1/(1-x).Hence, the correct option is (D). g(x) = x − 1/1.
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To the nearest foot, what is the diameter of a circle whose circumference is 47.1 feet?
Answer:
94.2
Step-by-step explanation:
the total cost to make one batch of soup is $20. what is the approximate cost per calorie, in cents?
The approximate cost per calorie, in cents is 9.9 cents, if the total cost to make one batch of soup is $20.
In the table the nutrition information for a chicken noodle soup recipe.
The total calories in one batch of chicken noodle soup is 203 calories
The question ask the approximate cost per calorie, in cents, if the total cost to make one batch of soup is $20
Therefore, cost per calorie = $20/203
cost per calorie = 0.0985
now, 1 dollar = 100 cents
so, approximate cost per calorie, in cents is 0.0985 × 100
approximate cost per calorie, in cents is 9.85 ≅ 9.9 cents
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The image of table is given below
gcf of 6x^2 and 18x^5
The answer is 6x^2. To find this, just find the greatest factor of each question, aka the greatest "common" factor (GCF), of both since it is the greatest factor they each have in common. Hope this helps!
There are 370 fish in the school pond, and 296 are goldfish. What percent of the fish are goldfish? help pls
Answer:
80% of the fish in the school pond are goldfish.
Step-by-step explanation:
To find the percentage of goldfish in the pond, we need to divide the number of goldfish by the total number of fish and multiply by 100.
percent of goldfish = (number of goldfish / total number of fish) x 100%
So, in this case:
percent of goldfish = (296 / 370) x 100%
percent of goldfish = 0.8 x 100%
percent of goldfish = 80%
For every 2 girls in Mr Hegarty's class there are 3 boys. What is the ratio of girls to boys in the class?
Give your answer in its simplest form.
Answer:
2Girls:3Boys
Step-by-step explanation:
gdfgdsfgdsgsdfgdsgdsfgdsfgdsfg
in the number 425.871 which digit has the greatist value
In the number 425.871, the digit with the greatest value is 4 because it is in the hundreds place, representing a value of 400.
Explanation:In the number 425.871, each digit has a position and a value based on where it's located in the number. The position starting from the right of the decimal point we call the tenths, hundredths, and thousandths place, respectively. Similarly, the position to the left of the decimal point is called the ones, tens, hundreds place, etc., respectively. In this case, the digit with the greatest value is the one in the hundreds place, which is 4. This is because it represents 400, which is greater than any other individual digit's value in the number 425.871.
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A car travels at an average speed of 50 km/h for 3.5 hours.
How far did the car travel in km?
Answer:
175 kilometers
Step-by-step explanation:
50 km/h x 3.5 hours travel = 175 kilometers
Select the correct answer.
A graph with a y-axis and an x-axis in positive and negative planes. A figure is formed M F G H I J K L is made by connecting points (-3,5), (8,5), (8,2), (3,2), (3,-5), (-8,-5), (-8,-2), and(-3,-2).
Eleanor is participating in a game show in which she has to complete a lap with seven different obstacles. The lap starts and ends at F. The obstacles are placed at points G, H, I, J, K, L, and M. What is the total length of the lap?
A.
52 units
B.
54 units
C.
56 units
D.
58 units
Thus, the total length of lap covered to get the seven different obstacles is found as: 52 units.
Define about the distance formula?the Pythagorean theorem is used to calculate the distance between two locations using the distance formula. The Pythagorean theorem can be rewritten as d = √((x2 - x1)²+(y2 - y1)²) to calculate the separation between any two locations.
Given data:
Points on y-axis and an x-axis are given,
M(-3,5), F(8,5), G(8,2), H(3,2), I(3,-5), J(-8,-5), K(-8,-2), and L(-3,-2).
Starting and ending point is F.
Points lies between the starting and ending are-
F ,G, H, I, J, K, L, M, F
Total length = sum of all length
d = √((x2 - x1)²+(y2 - y1)²)
FG = √((8 - 8)²+(2 - 5)²)
FG = √9
FG = 3
GH = √((8 - 3)²+(2 - 2)²)
GH = √25
GH = 5
HI = √((3 - 3)²+(2 + 5)²)
HI = √49
HI = 7
IJ = √((3 + 8)²+(-5 + 5)²)
IJ = √121
IJ = 11
JK = √((-8 + 8)²+(-2 - 5)²)
JK = √9
JK = 3
KL = √((-8 + 3)²+(-2 + 2)²)
KL = √25
KL = 5
LM = √((-3 + 3)²+(-2 - 5)²)
LM = √49
LM = 7
MF = √((8 + 3)²+(+5 - 5)²)
MF = √121
MF = 11
Total length = 3 + 5 + 7 + 11 + 3 + 5 + 7 + 11
Total length = 52 units
Thus, the total length of the lap covered to get the seven different obstacles is found as: 52 units.
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you want to find a power series solution for this ode: centered at with radius of convergence . without actually solving the ode, you know that:
The power series is convergent at radius R = 1/L.
In this question, the goal is to find a power series solution to the given ODE with a radius of convergence centered at the value x = a.
Without solving the ODE directly, we have the information that:
To obtain a power series solution for the given ODE centered at x = a, we can substitute
y(x) = ∑(n=0)∞ c_n(x-a)^n
into the ODE, where c_n are constants.
Then we can differentiate the series term by term and substitute the resulting expressions into the ODE.
Doing so, we get a recurrence relation involving the constants c_n that we can use to find the coefficients for the power series.
In order to obtain the radius of convergence R, we can use the ratio test, which states that a power series
∑(n=0)∞ a_n(x-a)^n is absolutely convergent if
lim n→∞ |a_{n+1}|/|a_n| = L exists and L < 1.
Moreover, the radius of convergence is R = 1/L.
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letter to the editor on the problem of garbage in our locality
mode is 7. find the missing value for this list: 1,4,7,5,7,X,3,6,3,5,9
Answer:
the missing value is 7
Step-by-step explanation:
mode means the highest occuring number and from the figures above, the numbers the occured the most are 3,5and7. they appeared two times and since from the question it's said that 7 is the mode, it means that 7 should occure more than 3 and 5. so the missing value is 7.
help can you guys help me ill like eany coment and the answer
Answer:
The first step is false because the tub was not higher at 10:14 than at 10:01, The second box is true, because it is staying the same. The Third box is most likely true. The forth one is false , as there is a decline at 10:20 and the last one I am pretty sure is true also.
Consider quadrilateral ABCD and point in the figure below.
Graph r(135 degrees,E) (ABCD). Which graph (next page) shows the pre-image ABCD and the image A'B'C'D'?
Answer: Its A
Step-by-step explanation: I just took this test plz mark brainlist
9. Look at some of the printed letters in a textbook. The small horizontal
and vertical segments attached to the ends of the letters are called
serifs. Most of the letters in a textbook are in a serif typeface. The
letters on this page do not have serifs, so these letters are in a sans-
serif typeface. (Sans means "without" in French.) The figure shows a
capital letter A with serifs. Use the given information to write a
paragraph proof that the serif, segment HI, is parallel to segment JK.
Given: 21 and 23 are supplementary.
Prove: HI || JK
By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.
To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.
First, let's examine the given figure and information.
We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.
To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.
Supplementary angles are defined as two angles whose measures sum up to 180 degrees.
We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.
Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.
Now, let's assume that segments HI and JK are not parallel.
In this case, if we extend lines HA and JA, they will eventually intersect at point P.
Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.
However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.
Therefore, our assumption that segments HI and JK are not parallel must be incorrect.
Consequently, we can conclude that segment HI is indeed parallel to segment JK.
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