Let f:N2 Z+ be defined as f (x, y) -2"3'. Which of the following best describes f? (Note: A2 is another way of writing A x A) total and onto and not one-to-one total and not one-to-one and not onto total and one-to-one and not onto one-to-one and not onto and not total onto and not one-to-one and not total one-to-one and onto and not total not one-to-one and not onto and not total total, one-to-one, and onto
Answers
For given function f, f : N² --> Z⁺ be defined as
f(x,y) = 2ˣ3ʸ
Every element of domain(N²) has a unique image in co-domain but for every y∈Z⁺ there does not exit pair (p,q)∈N². Thus, the function f one to one and total but not onto function.
So, Correct option is option(C).
Onto Functions: A function in which every element of Co-Domain Set has one pre-image.
One-to-One Functions: A function in which one element of Domain Set is connected to one element of Co-Domain Set.
Total function: A function which is defined for all inputs of the right type, that is, for all of a domain.
Let f : N² --> Z⁺ be defined as
f(x,y) = 2ˣ3ʸ
then, f is not onto because for z∈ Z⁺
there is (x,y)∈N²
f(x,y) = z is not possible.
f is one to one because for (x₁, y₁) , (x₂,y₂)∈N²
such that f(x₁,y₁) = f(x₂,y₂)
=> 2ˣ¹3zʸ¹= 2ˣ²3ʸ²
=> x₁ = x₂ and y₁ = y₂
=>( x₁ ,y₁) = (x₂, y₂)
so, f is one to one. Every element of domain(N²) has an image in Co-domain(Z⁺). Thus, f is total function.
Hence, f is one to one and total but not onto.
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Related Questions
1. Find the slope of a line
that passes through (3,-2)
and (7,5)
Answers
=7/4 is the slope
Answer:
m= \(\frac{7}{4}\)
Step-by-step explanation:
\(m=\frac{y2-y1}{x2-x1} \\\\m=\frac{5--2}{7-3} \\m=\frac{5+2}{4}\\ m=\frac{7}{4}\)
First, define what equation needs to be used. We need to use the slope formula to find the answer.
Next, we substitute the x and y values into their respective places.
Last, simplify the equation!
Please help me. 25 points.
Answers
2/2 = 4.5/2 = 2.25 feet
Which means, if we add the product and quotient up, we’ll get 20.25 feet for the total height.
I believe it’s already rounded up.
Vivian scored 8 out of 10 on a quiz. Ramona scored 3 out of 4. Did Vivian and Ramona get equivalent scores? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
8/10 can be simplified to become 3/4
Hen interpreting f (7, 31) = 4.78, p > 0.05, how many subjects were tested in this simple one-way anova?
Answers
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
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Please Help!!
In desperate need!
Answers
Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
Answers
Answer:
0.45
Step-by-step explanation:
You divided 2.25 by 5
hence, you divide 2.25 by 5.
Craig Rosenberg has a personal injury protection policy that covers each person in, on, around, or under his car for medical expenses as a result of an accident. Each person can collect up to $50,000. Craig is involved in an accident and three people are hurt. One person has$23,000 of medical expenses, one person has $500 worth of medical expenses, and Craig himself has medical expenses totaling$70,000. How much money must the insurance company pay out for these three people?
Answers
Based on the policy limit of $50,000, the total amount that the insurance company must pay out for these three people involved in Craig's personal injury protection policy is $73,500.
How is the amount computed?The total amount that the insurance company will indemnify the three persons involved in the accident is determined by the policy or liability limit of $50,000 for each person.
Policy limit in Craig's personal injury protection policy for each = $50,000
The medical expense for the first person = $23,000 (below limit)
The medical expense for the second person = $500 (below limit)
The medical expense for the third person (Craig) = $70,000 (above limit)
Total indemnity = $73,500 ($23,000 + $500 + $50,000)
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I need the vertex, roots, and y-intercept.
Answers
The vertex, the roots, and the y-intercept are
(18, -4608), 6 & -6 h(0) = 576How to determine the vertex, roots, and y-interceptFrom the question, we have the following parameters that can be used in our computation:
Initial height = 576
Given that there is no initial force, the equation of the function is
h(t) = -16t² + 576
For the vertex, we have
t =-576/(2 * -16)
t = 18
So, we have
h(t) = -16(18)² + 576
h(t) = -4608
So, the vertex is (18, -4608)
For the y-intercept, we have
h(0) = -16(0)² + 576
y-intercept, h(0) = 576
For the roots, we have
-16t² + 576 = 0
t² = 36
So, we have
Roots, t = 6 and -6
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suppose . (a) find a vector parametric equation for the parabola from the origin to the point using as a parameter. (b) find the line integral of along the parabola from the origin to .
Answers
Step-by-step explanation:
To find the vector parametric equation for the parabola from the origin to a point P, we need to express the position vector of P as a function of a parameter. Let's assume the coordinates of P are (x, y).
(a) Vector Parametric Equation for the Parabola: We can represent the position vector of P as a linear combination of two vectors. The first vector will point from the origin to P, and the second vector will be perpendicular to it.
Let's consider the vector from the origin to P as OP. Since P lies on the parabola, the magnitude of OP is given by the equation y = x^2. Therefore, the magnitude of OP is √(x^2 + (x^2)^2) = √(x^2 + x^4).
The unit vector in the direction of OP can be found by dividing OP by its magnitude: u = OP / √(x^2 + x^4).
To find a perpendicular vector, we can take the cross product of u with the vector (0, 0, 1) (which is perpendicular to the xy-plane). This will give us a vector perpendicular to the plane containing the parabola.
Let's call the perpendicular vector v. The cross product of u and (0, 0, 1) is given by: v = u × (0, 0, 1).
Finally, the vector parametric equation for the parabola from the origin to P is given by: r(t) = tu + tv, where t is the parameter ranging from 0 to 1.
(b) Line Integral along the Parabola: To find the line integral of a vector field F along the parabola from the origin to P, we need to evaluate the line integral: ∫(F · dr) from 0 to 1, where F is the vector field, dr is the differential vector along the parabola, and the integral is taken with respect to t.
The line integral can be calculated as follows: ∫(F · dr) = ∫(F · (du/dt) dt), where du/dt is the derivative of the unit vector u with respect to t.
Substituting r(t) = tu + tv into the above expression, we can find the line integral.
Please provide the vector field F so that I can assist you further in evaluating the line integral.
for what values of a and b is the following function continuous at every x?
Answers
Answer:By solving a system of equations, we will see that the function is continuous for all values of x
Step-by-step explanation:
what is the perimeter of square abcd? units units 28 units 37 units
Answers
The perimeter of square ABCD is 28 units.
The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.
The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.
A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.
If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.
Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.
In conclusion, the perimeter of square ABCD is 28 units.
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* A formula modeling how to add finite sums in an arithmetic sequence is represented by the equation. S = (a + b), Express a in terms of b, s,and n.
Answers
SOLUTION:
Step 1 :
In this question, we are told that a formula modeling how to add finite sums in an arithmetic sequence is represented by the equation:
\(S\text{ =}\frac{n}{2}(\text{ a + b )}\)Step 2:
We are meant to express a in terms of b, s, and n.
Then, we have that:
\(\begin{gathered} S\text{ =}\frac{n}{2}\text{ ( a + b )} \\ \text{cross}-\text{ multiply, we have that:} \\ 2S\text{ = na + nb} \\ 2S\text{ - nb = na} \\ \text{Divide both sides by n, we have that:} \\ \frac{2S\text{ -nb}}{n}\text{ = a } \end{gathered}\)CONCLUSION:
\(a\text{ = }\frac{2S\text{ - nb}}{n}\)The sum of 3 and x is less than 7.
What number sentence represents the statement?
O A. 3x<7
OB. 3+x<7
O C. 3x>7
OD. 3+x>7
Answers
Answer: The answer is B
Step-by-step explanation: Hope this helps xd
Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite?
2ft 2ft crossbar
Answers
The length of crossbar that Sasha need to complete the kite is equal to √8 units.
How to determine the length of the crossbar?By critically observing the image of the kite shown below, we can logically deduce that the crossbar and the two (2) given lengths formed a right-angled triangle as illustrated by the right angle symbol between the two given sides.
In order to determined, we would have to apply Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
Substituting the given parameters into Pythagorean's theorem, we have the following;
c² = a² + b²
c² = 2² + 2²
c² = 4 + 4
c = √8 units.
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Find the area of the composite figure.
A) 22m
B) 26m
C) 30m
D) 34m
Answers
Answer:
C is the answer.
The drama club spent a total of 40 hours practicing for the school play. 10% of the time was spent doing dress rehearsals. How many hours did the drama club spend doing dress rehearsals
Answers
Answer:
4 hours
Step-by-step explanation:
We need to find 10% of 40 hours:
10%*40
Convert 10% to a fraction, as I find it makes the math simpler. To do this, we can simplify put 10 over 100 as any percentage is that number over 100:
\(\frac{10}{100}*40\)
Simplify the fraction:
\(\frac{1}{10}*40=\frac{40}{10}=4\)
They spent 4 hours doing dress rehearsals
What is the z-score for a patient who takes 7 days to recover? (choose the closest possibility.)
Answers
Based on the time it took the patient to recover and the mean and standard deviation, the z-score is 1.5.
What is the z-score?The z-score for this patient who takes 7 days to recover can be found as:
= (Time taken to recover - Mean) / Standard deviation
Solving for the z-score gives:
= (7 - 5.2) / 1.2
= 1.8 / 1.2
= 1.5
The first part of the question is:
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 1.2 days.
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Zoe is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
15 ft
12 ft
12 ft
17 ft
13.89 ft
13.89 ft
What is the surface area of the box, in square feet, that Zoe
decorates?
Answers
The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
The surface area of the boxTo determine the surface area from the net of the box, we simply calculate the area of each shape.
From the given figure, we have the following shapes and dimensions:
Rectangles: 15 ft by 12 ft and 13.89 ft by 15 ftTriangle: Base = 12 ft and Height= 7 ftThe area is then calculated using:
Area = Areas of the rectangle + Area of the triangle
So, we have:
Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7
Evaluate the sum of products
Area = 430.35
Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
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Answer:577.35 square feet
Step-by-step explanation:
♀️
Can someone PLEASE help me ASAP it’s due today!! I will give brainliest if it’s all done correctly.
Answer part A, B, and C for brainliest!!
Answers
A. The experimental probability of getting 3 = 8.3%
B. The probability of getting 6 = 25%
C. Probability of getting numbers less than 4 = 50%
The values have been represented in fractions and decimal below
How to solve the probabilityThe total number of times that the dice was thrown = 12
A. The total number of times that he got a 3 = 1The experimental probability of getting 3 =
As a fraction 1 / 12,
decimal 0.083
As a percentage 8.3%
B. The probability of getting 6The total number of times that he got a 6 = 3
The experimental probability of getting 6 = 3 / 12 = 1 / 4
As a fraction 1 / 4
decimal 0.25
As a percentage 25%
3. Probability of getting numbers less than 4numbers less tan 4 are , 1, 2 and 3
The number of times they occurred = 6
The experimental probability of getting > 4 = 6 / 12 = 1 / 2
As a fraction = 1/2
As a decimal = 0.5
As a percent = 50%
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Question 1
Determine if the relation shown is a function or not.
Y
2
8
4.
6
8
4
Answers
Answer:
No, it is NOT a function.
Step-by-step explanation:
A functions' inputs are assigned to exactly one output.
We are given the points:
{(8,2) (4,-3) (6,4) (8,1)}
The input of 8 is repeating.
The given relation is not a function.
Hope this helps!
The weights of newborn elephants are normally distributed with a mean of 225 pounds and a standard deviation of 45 pounds. Find the probability that a newborn elephant weighs more than 210 pounds.
Answers
Answer:
0.63043
Step-by-step explanation:
Given that :
Mean = 225
Standard deviation = 45
P(x > 210) : (x - mean) / standard deviation
P(x > 210) = (210 - 225) / 45
P(x > 210) = - 0.333
P(Z > - 0.333) = 0.63043 (Z probability calculator)
15x⁴-16x³+0x²+8x-17 ÷ (3x²+x+1)
Answers
After dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
We are given an expression:
( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )
We need to perform division of the algebraic expression:
5 x² - 7 x + 4
3 x² + x + 1 √15 x⁴ - 16 x³ + 10 x² + 8 x - 17
15 x⁴ + 5 x³ + 5 x²
______________________
- 21 x³ + 5 x² + 8 x - 17
- 21 x³ - 7 x² - 7 x
______________________
12 x² + 15 x - 17
12 x² + 4 x + 4
______________________
11 x - 21
______________________
Therefore, after dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
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a project has the following projected outcomes in dollars: $210, $320, and $540. the probabilities of their outcomes are 25%, 55%, and 20% respectively. what is the expected value of these outcomes?
Answers
The expected value of these outcomes are $262.5, $496 and $648 respectively
How to calculate expected values?You should know that the expected value are the proportion of the values when valued with the percentages
The given values are $210, $320 and $540
The given percentages are 25%, 55% and 20%
The expected values are
0.25*210 = $52.5+210=$262.5
0.55*320=176+320=$496
0.20*540=108+540=$648
Therefore the projected values of the project are $262.5, $496 and $648 respectively
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please help!! i’ll give brainliest
Answers
Q1. p=a-i
Q2. l= 1/2p-w
Q3. t=d/s
I think that these are correct
Solve the system of equations using elimination. 2x 3y = −8 3x y = 2 (−4, 0) (2, −4) (5, −6) (8, −8)
Answers
Following the elimination process the solution of the given system of equations is \((2, -4)\). Hence option B is correct.
The given system of equations is:
2x + 3y = −8 ....(i)
3x + y = 2 ----(ii)
To solve this system by using the elimination method,
Multiply 3 both sides in equation (ii) we get,
9x + 3y = 6 ....(iii)
Subtract (iii) from (i) we get,
2x + 3y - (9x + 3y ) = -8 -6
-7x = -14
Dividing both sides by -7 we get,
x = 2
Put the value of x into equation (ii),
6 + y = 2
y = -4
Hence,
The solution of the system is \((2, -4)\) which is option B.
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The complete question is:
Solve the system of equations using elimination.
2x + 3y = −8
3x - y = 2
A. (−4, 0)
B. (2, −4)
C. (5, −6)
D. (8, −8)
Answer:
(2, −4)
Step-by-step explanation:
took the test xx
What is the value of x?
Answers
Answer:
x = 9 cm
create proportional equation:
\(\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}\)
\(\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}\)
\(\sf 9(3x+36) = 81(3x-20)\)
\(\sf 27x+324 = 243x-1620\)
\(\sf 27x-243x=-1620-324\)
\(\sf -216x=-1944\)
\(\sf x = 9\)
Answer:
x = 9Step-by-step explanation:
Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;
72/9 = 56/(3x - 20)8 = 56/(3x - 20)3x - 20 = 56/83x - 20 = 73x = 27x = 9LIMITED BRAINLEST Three expressions are written.
1st: x
plus x
plus x
2nd: x
times x
times x
3rd: 3
times x
Which statement about the expressions is true?
Responses
All of the expressions are equivalent to 3x
.
All of the expressions are equivalent to 3 x, , .
All of the expressions are equivalent to x3
.
All of the expressions are equivalent to , , x cubed.
The 2
nd expression is equivalent to x3
. The others are equivalent to 3x
.
The 2, nd, expression is equivalent to , , x cubed. The others are equivalent to , , .
The 1
st expression is equivalent to 3x
. The others are equivalent to x3
.
Answers
The second term and the other two terms are equivalent to the expression x³ and 3x, respectively. Then the correct option is C.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
Three expressions are written.
1st: x plus x plus x, then the expression is given as,
⇒ x + x + x
⇒ 3x
2nd: x times x times x, then the expression is given as,
⇒ x · x · x
⇒ x³
3rd: 3 times x, then the expression is given as,
⇒ 3·x
⇒ 3x
The second term and the other two terms are equivalent to the expression x³ and 3x, respectively. Then the correct option is C.
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thankssss plzzz helpp
Answers
The expression below describes the number of organisms in a population of bacteria
that is undergoing exponential growth. In this expression, r is the amount of growth
per time interval and x is the number of time intervals.
a(1 + r)X
What does a represent in the expression?
O the final population after x intervals
O the length of time in one time interval
O the initial size of the population
the change in population after one time interval
Answers
Answer:
The answer is the length of time in one time interval
What is the measure of ∠A?
Answers
Answer:
45°
Step-by-step explanation:
In a triangle there is 180°, which means that if there's 1 right angle that takes away 90° which means that you're left with 90° and since there are 2 angles left you divide 90° by 2 to get 45° which means that angle A is 45°.