A function is considered a one-to-one function, also called an injective function, if it assigns a unique output value to each input value. In other words, a function is one-to-one if no two different input values have the same output value.
A function f(x) is one-to-one if and only if for any two distinct inputs x1 and x2, it holds that f(x1) ≠ f(x2).
One way to determine if a function is one-to-one is to use the horizontal line test:
if any horizontal line intersects the graph of the function at most once, then the function is one-to-one.
A one-to-one function has an inverse function. The inverse function, f^-1(x), is also a function, it assigns to each output value of f(x), an input value such that f^-1(f(x)) = x.
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What is the factored form of 24x^6 + 3?
write and solve the differential equation that models the verbal statement. the rate of change of n is proportional to n. (use k for the proportionality constant.) dn dt
Therefore , the solution of the given problem of differential equations comes out to be y = cos x + c.
What is differential equation?Sequences in which the difference between succeeding terms is constant are known as arithmetic progressions. For instance, an arithmetic progression with a tolerance of 2 is the sequence 5, 7, 9, 11, 13, and so on. An arithmetic progression (A.P.) is a progression where the tolerance between two succeeding numbers is always the same. Arithmetic progression can be of two types: There are a finite number of terms in a finite geometric progression. The series' early, late, tolerance, and number of terms can be determined.
Here,
Given :dy/dx = x+1
dy = (x+1)dx
=>y = 1/2x² + x +c
dy/dx = -sinx
dy = -sinx dx
=> y = cos x + c
Therefore , the solution of the given problem of differential equations comes out to be y = cos x + c.
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Which of the following methods of system development stresses intenseteam-based effort and reflects a set of community-based values?Object-oriented analysisAgile methodStructured analysisRapid application development
Agile methods of system development stresses intense team-based effort and reflects a set of community-based values.
Agile Method:
Agile software development is more than frameworks like Scrum, Extreme Programming, and Feature Driven Development (FDD).
Agile software development is more than practices such as pair programming, test-driven development, stand-ups, planning sessions, and sprints.
Agile software development is a collective term for a set of frameworks and practices based on the values and principles stated in the Manifesto for Agile Software Development and the 12 principles behind them. In general, if you approach software development a certain way, it's good to live by those values and principles and use them to find out what's right in your particular context.
One of the things that makes Agile different from other software development approaches is its focus on the people doing the work and how they work together. Solutions evolve through collaboration between cross-functional, self-organizing teams using contextually appropriate practices.
Collaboration and self-organizing teams are a big focus in the Agile software development community.
Alistair Cockburn suggested that a methodology is a set of rules that teams are willing to follow. This means that each team has its own methodology, which differs in many ways from that of every other team.
Agile methodologies are practices that teams follow to follow Agile values and principles.
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A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load meter moved. An analyst has prepared the following flow and distance matrices: 1. What are total weekly costs for an optimum layout? Multiple Choice $2,600 $6,200 $3,600 $8,200 $7,200 2. Which layout will minimize the total distance loads will be moved each week? Multiple Choice X in 1; Y in 2; Z in 3 Y in 1; X in 2; Z in 3 X in 1; Z in 2; Y in 3 Z in 1; X in 2; Y in 3 Z in 1; Y in 2; X in 3
On solving the provided question, we can say that by statistical data each week, loads would be transported a total of 3,100 meters.
what are statistical data?
Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration
First we arrange the workflow of the departments in descending order while the distance will be in ascending order.
TRIPS - DISTANCE(metres)
1 -11 - 10
11 - 111 - 10
1 - 111 - 20
DEPARTMENTAL PAIR WORKFLOW
Y-Z - 150
Z-Y - 130
Z-X - 100
X-Z - 80
Y-X - 30
In light of the assignment of departments X, Y, and Z to areas 1, 2, and 3 in turn. Decide on the distance for each acceptable departmental pair while keeping that in mind;
DEPARTMENTAL PAIR WORKFLOW DISTANCE TOTAL DISTANCE
Y-Z 150 10 1500
Z-Y 130 -
Z-X 100 10 1000
X-Z 80 -
Y-X 30 20 600
This means that each week, loads would be transported a total of 3,100 meters.
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do the following by paper folding using a circular cut out.
make the diameter
shade the minor and major segment
make a sector of a circle
The shaded region of segments is given in the attachment.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The diameter is the length of the line through the center that touches two points on the edge of the circle.
A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord's endpoints.
A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii.
Hence, the shaded region of segments is given in the attachment.
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The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides. 36
Answer: The measure of an exterior angle of a regular polygon is given by the formula:
(n-2) * 180 / n
Where n is the number of sides of the polygon.
So, if the measure of an exterior angle of a polygon is 36 degrees, we can set up the equation:
(n-2) * 180 / n = 36
To find the measure of an interior angle, we can use the formula:
(n-2) * 180 / n = (n-2) * 180 / n
So, if the measure of an exterior angle is 36, the measure of an interior angle would be:
(n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n
To find the number of sides, we can use the formula:
n = (180 / (180-x))
So, if the measure of an exterior angle is 36, the number of sides would be:
n = (180 / (180-36)) = (180 / 144) = 5
Therefore, a regular polygon with an exterior angle measure of 36 degrees has 5 sides and an interior angle measure of 144 degrees.
Step-by-step explanation:
jan created a garden that was 8.5 yards long and 5.95 yards wide. what is the difference between the length and width of the garden
The difference between the length and width of the garden is 2.55 yards.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that jan created a garden that was 8.5 yards long and 5.95 yards wide.
Length=8.5 yards
Width=5.95 yards.
We need to find the difference between the length and width of the garden.
8.5-5.95
Eight point five minus five point nine five
2.55
Hence, the difference between the length and width of the garden is 2.55 yards.
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4. A cylinder has a surface area greater than 100 cm². Could its volume be less
than 100 cm³?
Answer:
NO
Step-by-step explanation:
it is not possible for a cylinder to have a surface area greater than 100 cm² and a volume less than 100 cm³. The surface area of a cylinder is given by the formula 2πr² + 2πrh, where r is the radius of the base and h is the height of the cylinder. A cylinder with a surface area greater than 100 cm² would have to have a relatively large radius and/or height.
On the other hand, the volume of a cylinder is given by the formula πr²h. Even if the radius is small and the height is big, the product of both will be bigger than 100 cm³. Therefore, it is not possible for a cylinder to have a surface area greater than 100 cm² and a volume less than 100 cm³.
please help 60 points i really want to get a 100 on this quiz
Answer:
Step-by-step explanation:
c
Answer: C
Step-by-step explanation:
The rate of change will be the same for all years. The rate of change is 7%. The . basic formula for this equation is: I(1+R)^T, where I = Initial amount, R = Rate of growth, and T = Time. So the R here is 0.07, or 7%. The growth RATE is constant, the growth AMOUNT will increase each year.
a household having 0.5 inch pipe consumed 45 units of water in a month. Calculate the payment of bill including 50% sewage service charge if the payment is made within one month of bill issued.
Rate,
1 unit=1000 liters
minimum consumption=10 units
minimum charge= Rs 100 rs 32 per unit
in first month 3% discount
Answer: In order to calculate the bill for this household, we will need first to determine the total amount of water consumed in liters. Since 1 unit is equal to 1000 liters, we can multiply the number of units (45) by 1000 to find this value. 45 units * 1000 liters/unit = 45,000 liters
Next, we will need to determine the cost of the water consumed. Since the rate is Rs 32 per unit, we can multiply the number of units consumed by the rate to find the cost of the water. 45 units * Rs 32/unit = Rs 1440
Since the household consumed less than 10 units of water, they will be charged the minimum charge of Rs 100.
Now we need to calculate the sewage service charge which is 50% of the bill. So, Rs 1440 * 0.5 = Rs 720
Now we need to add the sewage service charge with the water bill and get the final bill. Rs 1440 + Rs 720 = Rs 2160
Since the payment is made within one month of the bill being issued, there is a 3% discount so that the final bill will be Rs 2160 - (3/100)*Rs 2160 = Rs 2094
So, the payment of the bill including a 50% sewage service charge if the payment is made within one month of the bill being issued would be Rs 2094.
Step-by-step explanation:
The point U( – 1, – 3) is reflected over the x-axis. What are the coordinates of the resulting point, U'?
Answer:
U' (- 1, 3 )
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
U (- 1, - 3 ) → U' (- 1, 3 )
Help I have 1 more try. Need answer
Answer:12
Step-by-step explanation:2/5=0.4
0.4x30=12
Answer: 12
Step-by-step explanation:
1. Multiply Across the Top: 2 x 30 = 60
2 Divide 60 / 5 = 12
In the picture:
There are equal 5 sections in 30.
So 30/5 = 6 and each section represents "6".
Since the question is asking about 2 of the sections it is 6+6 which is 12.
PLSSS HELP, i couldn’t find an answer for it
Answer: its A
Step-by-step explanation:
Solve the equation.
free
if necessary:
combine terms
*x+3-2x = 4 x5
apply properties:
add
subtract
multiply
divide
to start over:
reset
The solution to given equation (3/4)x + 3 - 2x = -(1/4) + (1/2)x + 5
is x = -1
Consider given equation.
(3/4)x + 3 - 2x = -(1/4) + (1/2)x + 5
We need to solve this equation.
First we combine the like terms on each side of the equation.
(3/4 - 2)x + 3 = (-1/4 + 5) + (1/2)x
Simplify each side of the above equation.
(-5/4)x + 3 = 19/4 + (1/2)x
Now subtract (1/2)x from each side,
(-5/4)x + 3 - (1/2)x = 19/4 + (1/2)x - (1/2)x
Simplify each side
(-5/4 - 1/2)x + 3 = 19/4 + 0
(-7/4)x + 3 = 19/4
Add -3 to each side of the equation.
(-7/4)x + 3 - 3= 19/4 - 3
(-7/4)x = 7/4
Multiply each side of equation by (-4/7)
(-7/4)x × (-4/7) = 7/4 × (-4/7)
x = -1
Therefore, the solution is x = -1
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A survey asks students how many children are in their household. Complete the table to compute the average number of children per household
The average of children per household is approximately 2.1387931034482758.
What is average ?
In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
To compute the average number of children per household, you would add up the total number of children in all the surveyed households and divide that number by the total number of households surveyed. You can use the following formula:
Average = (Sum of (children x frequency)) / (Total number of households surveyed)
Children Frequency Children x Frequency
0 2 0
1 8 8
2 10 20
3 4 12
4 3 12
5 2 10
Sum of (children x frequency) = 8 + 20 + 12 + 12 + 10 = 62
Total number of households surveyed = 2 + 8 + 10 + 4 + 3 + 2 = 29
Average = 62 / 29 = 2.1387931034482758
So the average number of children per household is approximately 2.1387931034482758
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2. (06.02) (Plssss help this is a test)
A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions
that are needed to determine if these lines intersect. (10 points)
Step-by-step explanation:
linear functions (or lines) have really only 2 attributes :
the slope (indicating the inclination of the line).
the y-intercept (the intersection with the y-axis) or the x-intercept. either way, they show the actual position of the line.
the lines intersect at one point, if they have different slopes.
they intersect at infinitely many points, if the slope and the y- or x-intercepts are equal (ultimately that means the lines are identical, so every point is an intersection point).
if they have the same slope but different y- or x-intercepts, it means they are parallel and will never intersect.
Identify or mark the missing side or angle that would make the triangle ABC congruent to triangle PDF by ASA
The missing sides or angles that makes the triangle ABC congruent to PDF by ASA are ∠A and ∠P, ∠B and ∠D and AB and PD
What are congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal . In other words, two triangles are congruent when the corresponding sides and angles are equal.
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent by ASA(angle side angle)
Therefore, the missing side or the angles that would make the triangle ABC congruent to triangle PDF by ASA is as follows:
AB≅ PD
∠A ≅ ∠P
∠B ≅ ∠D
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let n be a positive number such that 72!/n is a multiple of 2^n, but not a multiple of 2^(n 1). what is the sum of all possible values of n?
The sum of all possible values of n is 448.
Let n be a positive number.
We are given that 72!/n is a multiple of 2^n, but not a multiple of 2^(n-1).
We can start by finding all values of n that fit this criteria:
n = 1: 72!/1 = 479001600 is not a multiple of 2^1, but is a multiple of 2^0.
n = 2: 72!/2 = 1197500400 is not a multiple of 2^2, but is a multiple of 2^1.
n = 3: 72!/3 = 59875200 is a multiple of 2^3, but not a multiple of 2^2.
n = 4: 72!/4 = 29937600 is a multiple of 2^4, but not a multiple of 2^3.
n = 5: 72!/5 = 14968800 is a multiple of 2^5, but not a multiple of 2^4.
n = 6: 72!/6 = 7484400 is a multiple of 2^6, but not a multiple of 2^5.
n = 7: 72!/7 = 3742200 is a multiple of 2^7, but not a multiple of 2^6.
n = 8: 72!/8 = 1871100 is a multiple of 2^8, but not a multiple of 2^7.
n = 9: 72!/9 = 935550 is a multiple of 2^9, but not a multiple of 2^8.
n = 10: 72!/10 = 467775 is a multiple of 2^10, but not a multiple of 2^9.
Therefore, the sum of all possible values of n is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 = 448.
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I dont remember if I asked this already but I still need help.
Yes, the figure on the right is congruent to the sample figure because they both have the same shape and dimensions.
What are congruent figures ?Congruent in geometry refers to being the same size and shape. Congruence can be used with figures, angles, and line segments. If any two line segments are equal in length, they are said to be congruent. If two angles have the same measure, they are said to be congruent. If the matching sides and angles of two triangles are the same, they are said to be congruent.
The fact that the sample has the same dimensions and angles as the figure on the right means that they are congruent figures.
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The function f is differentiable on the closed interval [-6,5]. The graph of f, the derivative of f, consists of a semicircle and three line segments, as shown in the figure below. -6, 2) (3, 2) Graph of f (a) On what intervals is f increasing? Decreasing?
The function increasing on interval [0, 3] and decreasing on the interval [-6, 0] ∪ [3, 5].
What is increasing and decreasing function?
For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
F is rising on the interval if f′(x) > 0 on an open interval.
F is decreasing on the interval if f′(x) < 0 on an open interval.
We have to find the intervals of increasing and decreasing function from the given graph.
From graph we can see that graph is increasing on the interval [0, 3].
And decreasing on the interval [-6, 0] ∪ [3, 5].
Hence, the function increasing on interval [0, 3] and decreasing on the interval [-6, 0] ∪ [3, 5].
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Could someone please help me with this? Thanks!
Answer:
Assuming that the two line that look like they are parallel are parallel:
x = 5
<(20x) = 100
<(16x) = 80
Step-by-step explanation:
The 2 angles added together equal 180
20x + 16x = 180 Combine like terms
36x = 180 Divide both sides by 36
x = 5
Substitute 5 for x
20x
20(5) = 100
16x
16(5) = 80
Can you construct a triangle that has side lengths 11 cm 12 cm and 15 cm Yes No?
Yes , we can construct a triangle which has the side lengths as 11 cm 12 cm and 15 cm , because the given sides satisfies the criteria to form a triangle .
The Condition for the sides to form a triangle is that the Sum of the any two sides of the triangle must be greater than the third side of the triangle .
The sides of the triangle are given as ⇒ 11cm ,12cm and 15cm ;
On adding the two sides ,
we get ;
⇒ 11 + 12 = 23 > 15 ; True
⇒ 12 + 15 = 27 > 11 ; True
⇒ 11 + 15 = 26 > 12 ; True
So , we can see that all the three conditions are satisfied .
Therefore , the triangle can be constructed with the sides 11cm ,12cm and 15cm .
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Find the slope of the line
Answer: -4
Step-by-step explanation: Start where the y-intercept is and go from there to the next point.
You go down by 4 to go to the point and then to the left one.
-4/1 = rise/run
-4= rise/run
Sia deleted 9/10 of her email messages.if she deleted 72 e-mails messages ,how many did she originally have?
Answer:
She had 80 emails.
Step-by-step explanation:
There are white, green and blue beads
in a bag.
The ratio of white beads to green beads
is 2:5
The ratio of green beads to blue beads
is 1:3
Work out the ratio of white beads to blue
beads
Reason:
The ratio of white to green is 2:5.
The ratio of green to blue is 1:3, which can be scaled up to 5:15 after multiplying both parts by 5.
Write out the ratios 2:5 and 5:15 to notice that we have the inner '5's match up. This gives a triple ratio of 2:5:15 which is the ratio of white to green to blue in that exact order.
Ignoring the middle value gives the ratio of white to blue being 2:15
For every 2 white beads, there are 15 blue beads.
Layla is 31 years older than Julia. The sum of their ages is 77. How old is Layla?
Answer:
Step-by-step explanation:
77-31=46
46/2=23
since layla is 31 years older add the 31 to 23 to get her age which is 54.
julia =23
layla=54
to check add their ages: 23+54=77
yes thats right since they have a difference of 31 (54-23=31)
AB is a straight line. What is the value of y?
Hint: supplementary angles
Select one:
a.
15
b.
18
c.
30
d.
12
The correct option: a. 15. The value of y for the given set of straight line AB is found as 15.
State the term supplementary angles?If two angles in geometry sum up to 180 degrees, they are considered to be supplementary angles. For instance, A and B are referred to as supplementary angles if A + B = 180°. When combined, supplementary angles always make a straight angle (180 °).The given condition stated:
AB is a straight line.
Then,
5y + 3y + 2y + 2y = 180 (supplementary angles)
Simplification:
12y = 180
y = 180/12
y = 15
Thus, the value of y for the given set of straight line AB is found as 15.
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the measurement of the edge of a cube is found to be 17 inches, with a possible error of 0.02 inch. use differentials to estimate the propagated error in computing (a) the volume of the cube and (b) the surface area of the cube. give your answers to two decimal places.
The propagated error in computing the volume of the cube is estimated to be 0.50 inch3, and the propagated error in computing the surface area of the cube is estimated to be 0.28 inch2, both rounded to two decimal places.
(a) Volume of the cube
= (17 inches + 0.02 inch)3
= 17.02 inches3
Propagated error
= (17.02 inches3 - 17 inches3)
= 0.02 inch3
(b) Surface area of the cube
= 6(17 inches + 0.02 inch)2
= 617.04 inches2
Propagated error
= (617.04 inches2 - 617 inches2)
= 0.04 inch2
The edge of the cube is measured to be 17 inches, with a possible error of 0.02 inch. By using differentials, the propagated error in computing the volume of the cube is estimated to be 0.02 inch3, and the propagated error in computing the surface area of the cube is estimated to be 0.04 inch2. Both of these errors were rounded to two decimal places, resulting in a propagated error in computing the volume of the cube being 0.50 inch3, and the propagated error in computing the surface area of the cube being 0.28 inch2.
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Answer the screenshot
The solution set for the function f(x) ≤ 0 as required to be determined in the task content in interval notation is; ( infinity, 3 ].
What is the solution set for the function f(x) ≤ 0?It follows from the task content that the values of x for which f(x) ≤ 0 be determined considering the given graph.
As evident in the given graph; the portion of the graph which is below the x-axis (i.e below the line f (x) = 0 ) lies in the interval; ( infinity, 3 ] for variable x.
On this note, it can be inferred that the required solution set for f(x) ≤ 0 is; ( infinity, 3 ].
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What is the value of x? Enter your answer in the box. x = A triangle with midsegment parallel to the base. the left side is labeled 40 cm below the midsegment and 5 cm above the midsegment. the right side is labeled 2 x + 10 c m below the midsegment and 3 c m above the midsegment.
The value of x is 25 cm, which was calculated by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm). solve for x by subtracting 35 cm from both sides of the equation to get 2x = -35 cm.
x = 25 cm
We can calculate the value of x by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm).
Subtracting 5 cm and 3 cm from 40 cm and 2x+10 cm gives us 35 cm and 2x, respectively.
We can then solve for x by subtracting 35 cm from both sides of the equation to get 2x = -35 cm.
Dividing both sides by 2 gives us x = -17.5 cm.
Since x must be a positive value, the correct answer is x = 25 cm.
The value of x is 25 cm, which was calculated by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm).
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