So there are Output pairs that cannot be obtained for any input pair.
(a) T(x, y) = (2x, y)
This function is one-to-one but not onto. It is one-to-one because different input pairs (x1, y1) and (x2, y2) will always result in different output pairs (2x1, y1) and (2x2, y2). However, it is not onto because for any y ≠ 0, there is no input pair (x, y) that maps to the output pair (0, y).
(b) T(x, y) = (x^4, y)
This function is onto but not one-to-one. It is onto because for any given output pair (a, b), we can find an input pair (x, y) such that T(x, y) = (a, b) by taking the fourth root of a for x and setting y to b. However, it is not one-to-one because different input pairs can result in the same output pair. For example, T(1, 2) = T(-1, 2) = (1, 2).
(c) T(x, y) = (sin(x), cos(y))
This function is neither one-to-one nor onto. It is not one-to-one because different input pairs can result in the same output pair due to the periodic nature of sine and cosine functions. For example, T(0, 0) = T(2π, 0) = (0, 1). It is also not onto because the range of the function is limited to the interval [-1, 1] for both x and y, so there are output pairs that cannot be obtained for any input pair.
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T(x, y) = (2x, y) is one-to-one and onto.
To show one-to-one, assume T(a, b) = T(c, d). Then we have (2a, b) = (2c, d), which implies a = c and b = d.
To show onto, we need to show that for any (x, y) in R2, there exists (a, b) in R2 such that T(a, b) = (x, y). If we take (a, b) = (x/2, y), then T(a, b) = (x, y).
(b) T(x, y) = (x^4, y) is one-to-one but not onto.
To show one-to-one, assume T(a, b) = T(c, d). Then we have (a^4, b) = (c^4, d), which implies a = c and b = d.
To show not onto, note that there is no (a, b) in R2 such that T(a, b) = (-1, 0), since x^4 is always non-negative.
(d) T(x, y) = (sin(x), cos(y)) is neither one-to-one nor onto.
To show not one-to-one, note that T(0, 0) = T(2π, 0), but (0, 0) ≠ (2π, 0).
To show not onto, note that there is no (x, y) in R2 such that T(x, y) = (0, 1), since sin(x) is always between -1 and 1.
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F.IF.3 Jim is starting a new company and decides to send a promotional e-mail offering a free sample of his product to anyone who receives the e-mail. His plan is to send the promotional e-mail to 128 contacts with a request to forward the e-mail to 3 different people. Suppose that Jim sends the initial e-mail to 128 contacts on day 1. On day 2, each recipient sends the e-mail to 3 different people. On day 2, each of the new recipients sends the e-mail to 3 different people. If the process continues, how many emails will be sent on day 7? * 1 point A. 93,312 B. 279,936 C. 2,304 D. 49,152
Using a geometric sequence, the number of emails sent on day 7 is given as follows:
A. 93,312.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
This situation can be modeled by a geometric sequence with first term and common ratio given as follows:
[tex]a_1 = 128, q = 3[/tex]
Hence the number of people that receive the email on day n is:
[tex]a_n = 128(3)^{n-1}[/tex]
On day 7, the amount is:
[tex]a_7 = 128(3)^{7-1} = 93,312[/tex]
Hence option A is correct.
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A data store system that collects and stores all of the learning experiences in the form of statements that can be organized and presented in a meaningful way is the
The learning records is the meaningful way in which all of the data of learning experiences is record in the form of statements.
According to the statement
we have to tell that the which record is used when A data store system that collects and stores all of the learning experiences in the form of statements that can be organized and presented in a meaningful way.
So, for find this data store way to record the data
We know that the
The Learning Record provides an architecture and process for documenting student progress and achievement, based on interviews, observations over time, samples of students' naturally-occurring work, and well-supported interpretations of learning across five dimensions.
we see that the these given conditions in statement are approved by the data store way named the learning records.
So, The learning records is the meaningful way in which all of the data of learning experiences is record in the form of statements.
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You are inscribing a regular hexagon in a circle. You need to know the angle measure between the vertices. You divide 360° by what number?
6
4
3
5
To know the angle measure between the vertices, you divide 360° by 3. Option C
Interior angles of a hexagon
Formula for interior angles of polygon is given as;
= ( n -2 ) × 180 degrees
Hexagon has 6 sides, n = 6
= ( 6 - 2 ) × 180° = 4 × 180° = 720°
Each interior angle = 720/ 6 = 120
To get 120 from 360
= [tex]\frac{360}{120}[/tex]
= [tex]3[/tex]
Thus, to know the angle measure between the vertices, you divide 360° by 3. Option C
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Answer:
6
Step-by-step explanation:
In a regular polygon, all of the angles are congruent.
PLEASE HELP CORRECT ANSWER GETS BRAINLIST
Answer:
51 liters.
Step-by-step explanation:
By proportion number of litres for 1428 miles
= 17 * 1428/476
= 17 * 3
= 51 liters.
Ab and ac are tangent to circle o. if ab measures 23 cm, what is the measure of ac?
Answer:
AC = 23
Step-by-step explanation:
Discussion
AB and AC start from the same point -- A.
That means that when speaking of tangents to a circle that AB = AC
Answer
AB = 23 in Given
AC = 23 2 tangents to a circle starting from the same point are =
If 2x + 3y = 194 and x = 28, what is the value of y?
Answer:
46
Step-by-step explanation:
For the value of y, substitute x = 28 into the equation.
2x + 3y = 194
2(28) + 3(y) = 194
56 + 3y = 194
3y = 194 - 56
3y = 138
dividing bothsides by 3
y = 46
Answer:
y = 46
Step-by-step explanation:
We want to find the value of y
2x+3y = 194
We are given the value of x
x=28
Substitute the value of x into the first equation
2(28)+3y = 194
56 + 3y = 194
Subtract 56 from each side
56+3y -56 = 194 -56
3y = 138
Divide each side by 3
3y/3 = 138/3
y =46
Analyze the graph below to identify the key features of the logarithmic function.
A) The x-intercept is y = 7, and the graph approaches a vertical asymptote at y = 6.
B) The x-intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.
C) The x-intercept is y = -7, and the graph approaches a vertical asymptote at y = -6.
D) The x-intercept is x = -7, and the graph approaches a vertical asymptote at x = -6.
Answer: B
Step-by-step explanation:
When y=0, x=7, so the x-intercept is at x=7.
Eliminate everything except for B.Answer:
b. The x‐intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.
Step-by-step explanation:
I took the test and got it right
The sum of five consecutive integers equals 5.5 times the middle integer. Find the integers.
The five consecutive integers are -2, -1, 0, 1 and 2.
What are the values of the integers?
Given that;
The sum of five consecutive integers equals 5.5 times the middle integer.
Since the integers are consecutive, let the integer be;
x, x+1, x+2, x+3 and x+4.
Now, sum of the integers equals 5.5 times the middle integer.
Middle integer is x+2.
Hence we have;
x + x+1 + x+2 + x+3 + x+4 = 5.5( x+2 )
x + x+1 + x+2 + x+3 + x+4 = 5.5x + 11
We collect like terms
x + x + x + x + x - 5.5x = 11 - 1 - 2 - 3 - 4
5x - 5.5x = 1
-0.5x = 1
x = -( 1 / 0.5 )
x = -2
Since our integers are; x, x+1, x+2, x+3 and x+4.
We substitute in the value of x
x = -2
x+1 = -2 + 1 = -1
x+2 = -2 + 2 = 0
x+3 = -2 + 3 = 1
x+4 = -2 + 4 = 2
Therefore, the five consecutive integers are -2, -1, 0, 1 and 2.
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Can someone help me please with this having trouble doing it!!
Due to length restriction we kindly invite to check the explanation for further details about the analysis of three quadratic equations and inherent rigid transformations.
How to difference between parent quadratic equations and resulting quadratic equations
Herein we find the graph of the parent quadratic equation f(x) = x² and two proposed resulting functions, whose difference with the former one have to be explained in terms of the kind of rigid transformations they have.
By comparing them, we find that both functions g(x) and h(x) are the result of a rigid transformation of the form f'(x) = k · f(x), where the transformation is a simple vertical dilation for k > 1, simple vertical contraction for 0 < k < 1, vertical contraction and reflection around the x-axis for - 1 < k < 0 and vertical dilation and reflection around the x-axis for k < - 1.
Function g(x) is the result of dilating f(x) by a factor of 3 and function h(x) is the result of dilating and reflecting f(x) around the x-axis by a factor of - 3.
The tables for each quadratic function are summarized below:
g(x):
x - 2 - 1 0 1 2
g(x) 12 3 0 3 12
f(x):
x - 2 - 1 0 1 2
g(x) - 12 - 3 0 - 3 - 12
Lastly, we prepare the graph with the three functions in the image attached below.
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WILL MAKE BRAINLIEST!!Determine if the two triangles are congruent if they are state the postulate or theorem that provides they are congruent
Answer:
Yes they are congruent by SSS criterionStep-by-step explanation:
AC=DC. (Given in figure)
AB=BD. (Given in figure
BC=BC. (Common)
that means triangle BAC is congruent to triangle BDC by SSS criterion.
Ryans basketball team has 11 players how many different ways can his coach choose 5 starting players
Answer:
462
Step-by-step explanation:
C(11, 5)
= 11!/(11-5! * 5!)
= 462
You have 7 balls that are each a different color of the rainbow. in how many distinct ways can these balls be ordered? a. 1 b. 7 c. 49 d. 343 e. 5,040
Answer:
5040 ways
Step-by-step explanation:
here we need to find the number of permutations of the 7 balls :
= 7!
= 7×6×5×4×3×2×1
= 5 040
What is the approximate area of the triangle below?
95 degrees 35 degrees 14cm.
By utilizing the law of the sines and Heron's formula, we find that the approximate area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)
How to calculate the area of a triangle by Heron's formula
Prior to using Heron's formula, we must find the lengths of the missing sides by law of the sines:
A = 180° - 95° - 35°
A = 50°
[tex]b = 14\,cm \times \frac{\sin 35^{\circ}}{\sin 50^{\circ}}[/tex]
b ≈ 10.483 cm
[tex]c = 14\,cm \times \frac{\sin 95^{\circ}}{\sin 50^{\circ}}[/tex]
c ≈ 18.206 cm
Now, we proceed to calculate the area of the triangle:
s = 0.5 · (14 cm + 10.483 cm + 18.206 cm)
s = 21.345 cm
[tex]A = \sqrt{(21.345\, cm) \cdot (21.345\, cm - 14\,cm)\cdot (21.345\, cm - 10.483\,cm)\cdot (21.345\,cm - 18.206\,cm)}[/tex]
A ≈ 73.113 cm²
By utilizing the law of the sines and Heron's formula, we find that the approximate area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)
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12 yds
9 yds
3 yds
These triangles are similar. What value is x?
I
yds
Answer:
x=4
Step-by-step explanation:
the proportion between 9 and 3 is 1/3
so u just apply the fraction to the corresponding side
so 1/3 of 12 is 4
so x is 4
Question 4 (2 points)
The function y = sin has been transformed. It now has amplitude of 3.4, a
period of 28, a phase shift of 6.5 units to the right, a vertical translation of 6 units
is a point in the parent
down, and is reflected over the x-axis. Given that
(²
1
62
function, use mapping notation to determine the y-coordinate of its image point in
the transformed function.
Enter the numerical value of the y-coordinate only in the box below rounded to two
decimals.
24. Which measurement is equivalent to 10 g?
a. 1 dag
b. 1 dg
c. 1 cg
d. 1 hg
Answer:
a. 1 dag
Step-by-step explanation:
The list of SI prefixes is attached. Each has an abbreviation that can be used with the abbreviation for the SI unit of interest.
ApplicationA factor of 10 is signified by the prefix deka-, abbreviated "da". Then 10 grams is 1 dekagram, or 1 dag.
An equilateral triangle has a perimeter of 9x 6. what is the length of each side of the triangle?
Answer: [tex]3x^6[/tex]
Step-by-step explanation:
Each side of an equilateral triangle has the same side length, so the length of each side of the triangle is [tex]\frac{9x^{6}}{3}=\boxed{3x^{6}}[/tex].
19. Since April 1, 1986 was a Tuesday, March,
1986 had? Mondays.
og
(A) 3
(B) 4
(C) 5
(D) 6
Answer:
Since April 1, 1986 was a Tuesday, March,
1986 had? Mondays.
og
the answer A
Solve the system of equations 2x-2y=-14 and 3x-y=-1 by combining the equations.
Combining the equations, the solution to the system of equations is: x = 3, y = 10.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are:
2x - 2y = -14.3x - y = -1.Combining(adding) them, we have that:
5x - 3y = -15.
From the second equation:
y = 3x + 1.
Replacing in the combined equation:
5x - 3(3x + 1) = -15.
-4x = -12
x = 3.
y = 3x + 1 = 3 x 3 + 1 = 10.
The solution is:
x = 3, y = 10.
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Can someone help me please and show work !!
Answer:
Step-by-step explanation:
Rectangles have 2 pairs of equal sides that means:
2(4x) and 2(3x+2)
8x and 6x+4
8x+ (6x + 4) = 14x + 4
Question 2 (Essay Worth 10 points)
(06.03 MC)
Use the expression 5(6 + 4x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points) HELP NOWWWW PLSSSS
Part A
The two factors are 5 and 4x+6.
5 is a constant.4x+6 is a binomial.Part B
The first factor, 5, has 1 term.
The second factor, 4x+6, has 2 terms.
Part C
The coefficient of the variable term is 4.
=
Evaluate 62 - (9÷x) when x = 3
OA. 9
OB. 12
OC. 27
OD. 33
= 3.
The equation exists 62 - (9 ÷ x) then, the simplifying the equation, we get 59.
How to estimate the equation 62 - (9÷x)?An equation exists as a mathematical statement that is created up of two expressions connected by an equal sign. For example, 3x – 5 = 16 exists an equation.
The equation is described as the state of being equal and exists often illustrated as a math expression with equal values on either side or directs to a problem where many things need to be taken into account.
Given: [tex]$62\:-\:\left(\frac{9}{3}\right)[/tex]
then substitute the value of x = 3
Removing parenthesis -(a) = -a, we get
-(9/3) = -9/3
Divide the numbers, 9/3 = 3
= 62 - 3 = 59
Therefore, the correct answer is option A. 59.
The complete question:
Evaluate 62 - (9 ÷ x) when x = 3
A. 59
B. 12
C. 27
D. 33
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find the volume of these rctangular prisms length=6.4mm width=2.5mm hight=7mm
step by step pls
Answer:
The volume of this rectangular prism is 112mm.
Step-by-step explanation:
[tex]volume \: = \: length \times width \times height \\ v = 6.4mm \times 2.5mm \times 7mm \\ v = 112mm[/tex]
The size of a computer monitor is usually given by the length of its diagonal. A monitor's aspect ratio is the ratio of its width to its height. This monitor has a diagonal length of 27 inches and an aspect ratio of 16:9. Using ratios and the Pythagorean Theorem the approximate width is 23.5 inches and the height is inches.
The length and width of the computer monitor is 23.36 inches
and 13.14 inches.
According to the given statement
we have given that
The length of diagonal of rectangular monitor = 27 inches
The length to width ratio is 16:9
So , Let the Length of monitor = 16x
and The Width of monitor = 9x
And we have to find the length and width of the computer monitor.
So, For this purpose,
From Pythagoras theorem
(Diagonal)² = Length² + width²
Put the values in it and then
27² = (16x)² + (9x)²
729 = 256x² + 81x²
After solving we get
337x² = 729
So, x² = 2.16
∴ x = = 1.46 inches
So, The length = 16x = 23.36 inches
And The width = 9x = 13.14 inches.
Hence, The length and width of the computer monitor is 23.36 inches
and 13.14 inches.
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The measure of each exterior angle of a regular polygon is $30$ degrees. What is the sum of the measures of the interior angles, in degrees
Answer: 1800
Step-by-step explanation:
Exterior angles of a polygon add to 360 degrees, so this means the polygon has 12 sides.
We also know that since an interior angle and its corresponding exterior angle are supplementary, each interior angle is 150 degrees.
Therefore, the sum of the measures of the interior angles is (150)(12)=1800 degrees.
Suppose the scores of students on an exam are normally distributed with a mean of 382 and a standard deviation of 97. According to the empirical rule, what percentage of students scored between 285 and 479 on the exam
If the mean is 382 and standard deviation is 97 then according to empirical rule 50% students scored between 285 and 479 on the exam.
Given mean of 382 and standard deviation of 97.
We have to calculate the percentage of students scored between 285 and 479 on the exam.
Percentage is a number or ratio that is expressed in terms of 100.
We have to use z statistic in this question.
z=X-μ/σ
where μ is mean and
σ is standard deviation
from 285 to 382
z=285-383/97
=-1
p value =0.1587.
From 382 to 479
z=479-382/97
=97/97
=1
p value =0.3413
Total probability from 285 to 382 is 0.3413+0.1587=0.5
Percentage=5/10*100
=50%
Hence the percentage of students scored between 285 and 479 is 50%.
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Evaluate the function f(x) = 4 - 2x, for f(3r -1)
The value of the given expression; f(x) = 4 - 2x, for f(3r -1) as required in the task content is; f(3r-1) = 6 - 6r.
What is the value of the expression according to the given value?Since it follows from the task content that the given function is defined by the expression;
f(x) = 4 - 2x.
To evaluate the function f(x) = 4 - 2x, for f(3r -1); we must substitute 3r -1 for x in the equation as follows;
f(3r -1) = 4 - 2(3r-1)
f(3r-1) = 6 - 6r.
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Evaluate 3x for x = -2, x = 1, and x = 3.
Answer: A. 1/9, 3, 27
Step-by-step explanation:
3^x for x = -2
= 3^-2 = 1/9
3^x for 1
= 3^1 = 3
3^x for 3
= 3^3 = 27
hope this helped
3 = x+3 – 5x how can I solve this using a multi step equation
Answer: x = 0
Step-by-step explanation:
Given equation (swapped position):
x + 3 - 5x = 3
Combine like terms:
(x - 5x) + 3 = 3
-4x + 3 = 3
Subtract 3 on both sides:
-4x + 3 - 3 = 3 - 3
-4x = 0
Divide -4 on both sides:
-4x / -4 = 0 / -4
[tex]\boxed{x=0}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
If you are given a table of values, how can you determine if a direct variation exists?
Answer:
If you divide it out and it comes out a whole number unless the original set of numbers is a fraction