Which of the sets can be placed in a one-to-one correspondence?
a. {1,2,3,4,5) and {m,n,o,a,r}
b. {a,b,c,...,f} and {4,8,12,...,20}
c. {t It is a letter in the word jar) and {1,2,3,4}
PERFORMANS
O No
OYes
a. Can the sets {1,2,3,4,5) and (m,n,o,a,r} be placed in a one-to-one correspondence?
MUSICIA
FILOLETN
TRIOTO PRESE
INNOINS FORE
Answers
The set which can be placed in a one to one correspondence is:
a. {1,2,3,4,5) and {m,n,o,a,r}
b. Yes.
A rule or method that matches every element of set A with exactly one element of set B and every element of set B with exactly one element of A is known as a one-to-one correspondence.
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Related Questions
Which is the equation of the given line?
Question options:
A. x = –2
B. y = –2x
C. x = 2
D. y = –2
Answers
Answer:
Option D: [tex]y=-2[/tex]
Step-by-step explanation:
The line is horizontal, which means the slope is 0. The line also crosses the y-axis at (0,-2). Thus y at 0 is equal to 2.
Will give brainlyiest 50 points
Answers
Answer:4
Step-by-step explanation:4(5x+6) = 4[tex]x[/tex]5x=20x 4[tex]x[/tex]6=24
Answer:
The answer is 4.
4 * 5x = 20x
4 * 6 = 24
So the result we get is 20x + 24
Apply the indicated series of transformation to the triangle image and draw its final placement on the graph: *(x,y)—>(x+6,y-2) *reflect across y=2 (this part confuses me)
Please tell me in steps
(Photo attached)
Answers
Answer:
See the answer below
Step-by-step explanation:
Find the points on the curve y = 2x3 + 3x2 − 12x + 3 where the tangent line is horizontal.
Answers
the tangent is only horizontal at the critical points of the equation, so
[tex]y=2x^3+3x^2-12x+3\implies \cfrac{dy}{dx}=6x^2+6x-12\implies \cfrac{dy}{dx}=6(x^2+x-2) \\\\\\ \stackrel{\textit{setting the derivative to 0}}{0=6(x^2+x-2)}\implies 0=x^2+x-2 \\\\\\ 0=(x+2)(x-1)\implies \boxed{x= \begin{cases} -2\\ 1 \end{cases}} \\\\[-0.35em] ~\dotfill\\\\ y=2(-2)^3+3(-2)^2-12(-2)+3\implies y=-16+12+24+3\implies \boxed{y=23} \\\\\\ y=2(1)^3+3(1)^2-12(1)+3\implies y=2+3-12+3\implies \boxed{y=-4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \text{\LARGE (-2~~,~~23)\qquad (1~~,~~-4)}~\hfill[/tex]
what number is 1/10th of 8,000,000
Answers
Answer:
800,000
Step-by-step explanation:
To do this, simply divide the number by 10. 8000000/10 = 800,000.
A school board member surveys parents to learn how they feel about the new school boundaries. What are a random sample and a non-random sample for this situation?
Answers
A random sample and a non-random sample for this situation are given below:
Mrs.Donovan could have taken opinions from the first 50 parents to answer.Mr.Giles could have taken 10 Parents from each grade in the school and used that as his example.What is a Random Sample?This refers to the statistical population where there is an equal chance of being selected by members of a population.
Hence, we can see that a random sample and a non-random sample for this situation are given above and this shows that each of them have equal chances of being selected (random sampling)
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Draw a rotation of segment CD 189 degrees around point D.
Answers
Rotation of a point through 189° about the origin When a point C(h, k) is rotated through 180° in either an anticlockwise or clockwise direction about the origin O, it takes the new position D(-h, -k).
The rotation formula will give us the precise location of a point after a finite degree of rotation. The rotation formula is determined by the type of rotation applied to the point in relation to the origin. A geometric two-dimensional shape can undergo four major types of transformation.
The rotation formula describes how a point rotates with respect to the origin. The rotation formula is used to determine the position of a point after it has been rotated. A rotation is a circular motion around a specific axis or point of rotation. In general, rotation can be done in two ways: clockwise and anti-clockwise or counter-clockwise.
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If DF=9c -39 then x = and DF =
Answers
Answer: x=16
DF=105
Step-by-step explanation:
DF=DE+EF
9x-39=47+3x+10
9x-39=57+3x
9x=96+3x
6x=96
x=16
DF=9x-39
DF=9(16)-39
DF=144-39
DF=105
Can someone tell me if this is right if it’s not can you tell me where I messed up at
Answers
Using translation concepts, the vertices of the triangle after the rotation are given as follows:
G'(2,-2), E'(5,-4), F'(5,-1).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a 90º counterclockwise rotation around the origin is:
(x,y) -> (-y,x).
Hence the vertices should be given by:
G': (-2,-2) -> (2,-2).E': (-4,-5) -> (5,-4). (here you committed a mistake, should be one left and one up to where you positioned).F': (-1,-5) -> (5,-1). (here you committed a mistake).The correct translation is graphed at the end of the question. You are doing a good job, just there was two small mistakes on the rule :).
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In AOPQ, PQ = 19, QO = 11, and OP = 20. Which statement about the angles of AOPQ
must be true?
Answers
The true statement about the angles of the triangle OPQ is the third statement that is m∠P < m∠O < m∠Q.
It is given that:-
In triangle OPQ,
PQ = 19
QO = 11
OP = 20
We have to find which one of the six statements given in the question is correct.
We know that, in a triangle, if one side of the triangle is longer than the other side, then the angle opposite to the longer side will be larger than the angle opposite the shorter side.
Hence,
In triangle OPQ,
Angle opposite to side OP = ∠Q
Angle opposite to side PQ = ∠O
Angle opposite to side QO = ∠P
As,
QO < PQ < OP , Hence,
m∠P < m∠ O < m∠Q
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Which expression is equivalent to the given expression [tex]\sqrt{45}[/tex]
Answers
Answer:
6.7
Step-by-step explanation:
√45 = 6.7
.................
Solve the equation. 7x=35 x=
Answers
Answer:
x=
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
There are 2 numbers with a sum of 43. The first number is 2 less than twice the second. What is the SECOND number?
Answers
The value of the number is 15.
How to compute the value?Let the first number be represented by x.
The second number will be:
(2 × x) - 2 = 2x - 2
Therefore, the addition of the numbers will be:
= x + 2x - 2 = 43
3x - 2 = 43
3x = 43 + 2
3x = 45
Divide
x = 45/3
x = 15.
Therefore, the number is 15
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Solve for the system of equations.
Y=2x+3
2y-x=12
Answers
For the system of equations y = 2 x + 3 and 2 y - x = 12, the solution will be x = 2 and y = 7.
We are given the system of equations:
y = 2 x + 3 … (1)
2 y - x = 12 …. (2)
We need to solve it to find the values of x and y.
Putting the value of y from equation (1) in equation (2), we get that:
2 y - x = 12
2 (2 x + 3) - x = 12
Multiplying the brackets, we get that:
4 x + 6 - x = 12
3 x + 6 = 12
Subtract 6 from both the sides, we get that:
3 x + 6 - 6 = 12 - 6
3 x = 6
Divide both sides by 3. we get that:
3 x / 3 = 6 / 3
x = 2
y = 2 x + 3
y = 2 (2) + 3
y = 4 + 3
y = 7
Therefore, we get that, for the system of equations y = 2 x + 3 and 2 y - x = 12, the solution will be x = 2 and y = 7.
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find the dimensions of a rectangle with an area of 12 ft.² and a diagonal of 5 feet
Answers
The dimensions of a rectangle with an area of 12 ft.² and a diagonal of 5 feet are 4 feet and 3 feet.
How to calculate the value?From the information, we are given that the dimensions of a rectangle with an area of 12 ft.² and a diagonal of 5 feet.
It should be noted that the number will be:
= 4 × 3 = 12 ft²
It should be noted that 4² + 3² = 25 and the square root will give 5 which is also the diagonal.
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Find the measures of the central tendency of the data: (Round the answer to 2 decimal places)
7 14 9 10 10 7 13
Mode:
(Enter DNE if there are no modes)
Mean:
Median:
Answers
Mean: 10
Median: 10
The sum of three consecutive even integers is 312. Find the integers.
OA. 103, 104, 105
OB. 100, 102, 104
OC. 104, 106, 108
D. 102, 104, 106
Answers
The total of three consecutive even numbers is 312.
The correct option is A.
Briefing:Three numbers totaling 312 are consecutive, one of which being 104. Take one of the other numbers from 104=103 and add one to 104=105 for the third.
103 + 104 + 105 = 312.
What are consecutive even integers?Consecutive even numbers are consecutive even integers that differ by 2. If x is an even number, then x + 2, x + 4, and x + 6 are also even numbers. The difference between consecutive even numbers is two.
How do you find a series of consecutive integers?The formula for successive integers is quite simple. If x is the first consecutive integer, x+1 is the next, x+2 is the third, x+3 is the fourth, and so on. Consider the following example. 45 is 'x if it is the first consecutive integer in either a series of numbers.
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Which angles of rotation will map the figure onto itself? Explain your reasoning and/or show your work.
Answers
The angles of rotation will map the figure onto itself are 60, 120, 180....
How to deternine which angles of rotation will map the figure onto itselfIn geometry, transformation involves changing the angle, position and/or size of a shape.
The figure that completes the question is added as an attachment
The given parameter is the shape in the figure
From the figure, we can see that the shape has 6 congruent sides
This means that the shape is a regular hexagon
The angle of rotation will map the figure onto itself is calculated as
Angle = 360/Number of sides
So, we have
Angle = 360/6
Evaluate
Angle = 60
The other angles must be a multiple of 60
i.e. 60, 120, 180....
Hence, the angles of rotation will map the figure onto itself are 60, 120, 180....
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Find the volume of a sphere with a diameter of 6 centimeters.gi
12 cubic centimeters
288 cubic centimeters
97 cubic centimeters
O 367 cubic centimeters
Answers
Answer:V≈113.1
Step-by-step explanation:
d Diameter 6
V=4
3πr3
d=2r
Solving forV
V=1
6πd3=1
6·π·63≈113.09734
if f(x)=2x2+5 then f(-3)=
Answers
The function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
We are given the function:
f ( x ) = 2 x² + 5
We need to find the value of f ( -3 ).
We will do this by substituting the value of x = - 3 in the function and then evaluating the expression.
Putting x = -3 in the function, we get that:
f ( x = - 3 ) = 2 (- 3)² + 5
Solving the square, we get that:
f (- 3) = 2 ( 9 ) + 5
Simplifying the expression, we get that:
f (- 3) = 18 + 5
f (- 3) = 23
Therefore, we get that, the function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
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benjamein writes an expression for the sum of 1 cubed, 2cubed and 3 cubed. what is the value of the expression
Answers
The expression for the sum of 1 cubed, 2cubed and 3 cubed is 1² + 2³ + 3³ and the value is 36.
How to compute the value?It should be noted that the information is to find the expression for the sum of 1 cubed, 2cubed and 3 cubed.
This will be:
= 1³ + 2³ + 3³
= 1 + 8 + 27
= 36
Therefore, the correct answer is 36.
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Find the angle in degrees between the two planes
x − 10y − 8z = 11
and
2x + 5y + 8z = 1.
(Round your answer to two decimal places.)
Answers
The angle in degrees between the two planes is approximately 159.460°.
What is the angle between two planes?
The equation of the plane, whose form is a · x + b · y + c · z = d is equivalent to this vectorial form (a, b, c) • (x, y, z) = d, where (a, b, c) is the vector of coefficients. The angle between the two planes:
θ = cos⁻¹ [[(a₁, b₁, c₁) • (a₂, b₂, c₂)] / [||(a₁, b₁, c₁)|| · ||(a₁, b₁, c₁)||]]
If we know that (a₁, b₁, c₁) = (1, - 10, - 8) and (a₂, b₂, c₂) = (2, 5, 8), then the angle between the two planes is:
θ = cos⁻¹ [[(1, - 10, - 8) • (2, 5, 8)] / [√165 · √93]]
θ = cos⁻¹ [(-2 - 50 - 64) / √15345]
θ = cos⁻¹ (- 116 / √15345)
θ ≈ 159.460°
The angle in degrees between the two planes is approximately 159.460°.
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Find a counterexample to show that the following statement is false.
The sum of three multiples of 5 will always end in a 5.
Answers
Answer:
5 + 10 + 15 = 30
Step-by-step explanation:
You want a sum of three multiples of 5 that does not end in 5.
Multiples of 5Any odd multiple of 5 will end in 5. An even multiple will not.
In order for the sum to not end in 5, the total of the multipliers must be even:
1×5 +2×5 +3×5 = 6×5 = 30
5 +10 +15 = 30 . . . . . . three multiples of 5 whose sum does not end in 5
The length of a rectangle parking area is three times the width.The perimeter is 280 yd.Find the length and width of the parking are.
Answers
Answer:
length = 105 yd
width = 35 yd
Step-by-step explanation:
Let L = length and W = width.
L = 3W
perimeter = 2(L + W)
280 =2(L + W)
L = 3W
We have a system of 2 equations. Let's use the substitution method to solve it. Substitute 3W for L in the first equation.
280 = 2(3W + W)
140 = 4W
W = 35
L = 3W = 3(35) = 105
length = 105 yd
width = 35 yd
T(x,y,z)=x^2yz^3 với M(1,1,1)
Answers
Answer:
A= (2xy^2)^3. (-1/2x^2yz) (gạch chéo là phần)
B=(-4x3y2z)( x2y3)3xy
Step-by-step explanation:
ok :)
9
)
14+(−9)+(−9)14, plus, left parenthesis, minus, 9, right parenthesis, plus, left parenthesis, minus, 9, right parenthesis.
Answers
The value of (9)14+(−9)+(−9)14 is -9
The concept is used to Solve is BODMAS
(9)14+(−9)+(−9)14
126-9-126=-9
BODMAS, also known as the order of operations, is a series of operations in an arithmetic statement. Math is all about logic and certain common principles that help us with our calculations. So BODMAS is one of the basic principles for simplifying multi-operator formulations.
An expression or equation in arithmetic has two components:
Numbers \Operators
A character that combines two integers to form an expression or equation is known as an operator. The most popular operators in mathematics are Addition (+), Subtraction (-), Multiplication (), and Division (). Finding the solution to mathematical statements or equations with only one operator is rather straightforward.
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Which of the following polynomials have a GCF of 2x. (SELECT ALL THAT APPLY)
3x² - 6x
02x³+4x²
2x² - 4x
6x² + 2x
Answers
3. The lip balm costs about $16 to make. What is
the cost per ounce?
Answers
Using proportions, it is found that the cost per ounce is of $0.8.
What is the missing information?The missing information is the number of ounces in the balm, that is of 20.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The cost per ounce is given by the proportion of the cost by the number of ounces, hence:
Cost: $16.Number of ounces: 20.Then:
$16/20 = $0.8.
The cost per ounce is of $0.8.
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Cassie and Amy are playing a card flash game. Cassie has a card with the fraction - 2/7 and Amy has a card with the fraction - 3/4. Write an equation to represent the product of theirs fractions then solve that equation.
( The minus is not plain -3 or -2 it’s the whole fraction)
Answers
The equation representing the product of theirs fractions is -
(- 2/7) x (- 3/4) and on solving this expression, we get 3/14.
What is a Fraction?In mathematics, fractions are represented as a numerical value, which defines a part of a whole.
Given that Cassie and Amy are playing a card flash game such that Cassie has a card with the fraction - 2/7 and Amy has a card with fraction - 3/7.
The equation that represent the product of their fractions is -
(- 2/7) x (- 3/4)
Now, solving the above expression, we get -
(- 2/7) x (- 3/4)
(1/7) x (3/2)
3/14
Therefore, the equation representing the product of theirs fractions is -
(- 2/7) x (- 3/4) and on solving this expression, we get 3/14.
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999,999 + 1=1,000,000 show work
Answers
Answer:
use a calculator
Step-by-step explanation: the calculator doesn't lie I used a calculator
Answer:
1,000,000
Step-by-step explanation: