Determine whether each relation is a function. Find the domain and range.
Answer:
Step-by-step explanation: This is not a function because if you do a pencil check on the points two dots touch the pencil at the same time which does not make it a function.
A 2-gallon container of laundry detergent costs $16.00. What is the price per cup?
The price of the laundry detergent per cup is $0.5.
Unit of measure of quantity.The measure of a quantity can be expressed by its unit. The unit can be converted from one to another if the quantity are related.
In this question, the gallon has to be expressed as cups. Thus the price of the laundry detergent can now be determined.
This implies that we can express gallon in terms of cups, we have;
1 gallon = 16 cups
So that,
2 gallons = 2*16
= 32 cups
Therefore;
the price of the laundry detergent per cup = $16/ 32
= $0.5
The price of the laundry detergent per cup is $0.5.
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Which theorem is not a valid theorem to show that two triangles are congruent?
Methods that do not Prove Triangles to be Congruent.
1. AAA (angle angle angle)
AAA works fine to show that triangles are the similar shape (matching) but it does not apply to also show they are the same size, thus congruent!
Consider the following example at the right.
2. SSA (side side angle) or angle side side:
SSA is humorously called to as the “Donkey Theorem “.
This is not a universal method to solve triangles congruent because it cannot assurance that one unique triangle will be drawn!
The SSA (side side angle) mixture affords the possibility of creating zero, one, or two triangles.
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5/2 , 2.45, 2 2/5 , 6√ Put the numbers in order from least to greatest.
154b
Step-by-step explanation:
Which is the cheapest per ounce: a 2 L bottle (67.6 oz.) of root beer at $1.49, a six-pack of 20-oz. bottles at $2.49, or a twelve-pack of 12-oz. cans at $2.99?
Root beer is the cheapest per ounce, i.e. root beer cost is 0.011 per ounce
What is the unit rate?When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the rate's denominator is 1, we refer to the rate as a unit rate.
Given finding the cheapest per ounce,
A: a 2 L bottle (67.6 oz.) of root beer at $1.49
total weight of 2 liter bottle = 2 x 67.6 = 135.2 oz
135.2 oz = $1.49
1 oz = $1.49/135.2
1 oz = 0.011
root beer cost is 0.011 per ounce
B: a six-pack of 20-oz. bottles at $2.49,
total weight of 6 pack = 6 x 20 = 120 oz
120 oz = $2.49
1 oz = $2.49/120
1 oz = 0.21
bottles cost is 0.20 per ounce
C: a twelve-pack of 12-oz. cans at $2.99
total weight of 12 pack = 12 x 12 = 144 oz
144 oz = $2.99
1 oz = $2.99/144
1 oz = 0.021
can cost is 0.21 per ounce
Hence root beer is the cheapest per ounce.
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HELP!!!! WILL MARK BRAINLYLIST 50 POINTS!
Jerry plans to begin saving money for a trip by putting $1 in a savings account the first month
and then adding enough to double the amount in the account each following month.
A. After he finishes contributing to the account, he will withdraw $500 to make a down
payment on the trip. Create a function to show how much money will be in the account if he
finishes contributing to the account after t months.
Type your response here:
b. Jerry plans to keep up this saving pattern until he can no longer afford it. At that time, he
hopes to have enough in his account for his trip. How much will be in the account, after
making the down payment, if the most he will be able to contribute in a month is $1,200?
Function that represents the amount of money in the account after t months under the provided condition is equal to A = [tex]2^{t - 1} -[/tex] 500.
What is meant by Function?Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and codomain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and codomain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.Given,
Amount in the account
Frist month = $1
= [tex]2^{1-1}[/tex]
As per given condition,
second month = $2
= [tex]2^{2-1}[/tex]
Third month = $4
= [tex]2^{3-1}[/tex]
t = months.
Jerry withdraw $500 to make a down payment on the trip.
'A' represents the total amount left in the account
Required function as per given condition,
A = [tex]2^{t-1}[/tex] - 500
Hence, function representing the amount of money as per given condition in the account after t months is equals to A= [tex]2^{t-1}[/tex] - 500
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Simplify: –3(y 2)2 – 5 6y what is the simplified product in standard form?
The simplified product in standard form is -3y^4 - 30y.
What is algebraic equation ?
An algebraic equation is a mathematical statement that shows that two expressions are equal. The expressions can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is an algebraic equation. In this equation, x is a variable, and the goal is to find the value of x that makes the equation true. Algebraic equations can be solved by using a variety of techniques, such as isolating the variable on one side of the equation, using inverse operations, or factoring. The solutions of an equation are the values of the variables that make the equation true.
To simplify the expression:
-3(y^2)^2 - 5*6y
First, we can simplify the inner parenthesis: (y^2)^2 = y^4
Next, we can simplify the constants: -3 * y^4 - 5 * 6y
Combining like terms: -3y^4 - 30y
So the simplified product in standard form is -3y^4 - 30y.
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On opening night, Nutcracker on Ice sold out with 320 tickets sold. Adult tickets were $25 each and children tickets were $8 each. The total ticket sales was $6,130. How many adult tickets and how many children tickets were sold?
On opening night, the number of adult tickets and the number of children tickets were sold are respectively, 210 and 110
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Total tickets sold = 320
Adult tickets = $25 each
Children tickets = $8 each
The total ticket sales= $6,130
Suppose, the number of adult tickets sold = x
So, the number of children tickets sold = 320 - x
Total sales = 6130
Total sales = adult tickets sold + children tickets sold
= 25×x + 8×(320 - x)
= 25x + 2560 - 8x
= 17x + 2560
6130-2560= 17x
x = 210
Now, number of children ticket = 320 - 210
= 110
Hence, The numbers are respectively, 210 and 110
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The area of square abcd is 36 square units and the area of triangle ebf is 20 square units. if line eb is perpindicular to line bf and line ae is equal to 2 find the length of line cf
The length of line cf is 4 units
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.
To find the length of line cf, I first created a square and labeled the vertices a b c d. From here you know the triangle shares the vertice b. I used the lines on the square to add point e. The distance between a and e was 2, leaving us with a distance of 4 from a to b.. I used the 4 to find the missing height. knowing that the total area was 20, the height had to be 10. I extended side cb of the triangle and made a point f. The extra part measured 4 units because the side of the square was 6, so to get 10 I needed 4 more units.
Thus, length of line cf is 4 units
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I need help please!!
For f(4), it's 15. For determining x, it's 9.
For f(4), juet plug in 4 to x. 4(4) equals 16, minus 1 is 15.
For getting 35, we need to determine x. If you plug in 9 for f(x), 4(9) equals 36, minus 1 is 35.
Triangle ABC is graphed on a coordinate grid. A is located at (8,4), B is located at (4,10), and C is located at (-2,4). The triangle is dilated with scale factor of 1/2 with the orgin as the center of dilation. Where would B’ be located at?
Answer:
A dilation is a transformation that changes the size of a figure while keeping its shape the same. In a dilation with a scale factor of 1/2 and the origin as the center of dilation, each point in the figure is moved away from the origin by a factor of 1/2.
To find the new location of point B, we can apply this dilation to the coordinates of point B. Point B is located at (4,10), so we can multiply each coordinate by 1/2 to find the new location.
B'(x',y') = (1/2)(x,y) = (1/2)(4,10) = (2,5)
So the new location of point B, B' is located at (2,5) in the coordinate plane.
1. Select all sequences of transformations that would show that triangles
ABC and AED are similar. The length of AC is 6 units. *
B.
4
8
D
2
3
E
A
4.
The sequences of transformations that would show that triangles ABC and AED are similar are when dilate triangle AED by a scale factor of 2 and is reflected over line AC.
Therefore the answer is A. Dilate from centre A by a scale factor of 2, then reflect over line AC.
The sequence of transformations A will show that triangles ABC and AED are similar because it involves a dilation with a scale factor of 2 (which will make all corresponding sides equal) and a reflection over line AC. Thus triangle AED would superimpose on triangle ABC showing that the triangles are similar.
By dilating the triangle ABC by a scale factor of 2, we are making the corresponding sides equal, which will make the shape of triangle AED congruent to that of triangle ABC. Reflecting over line AC will not change the shape of the triangle, but it will change its orientation. So, these two transformations together will preserve the similarity of the triangle.
--The question is incomplete, answering to the question below--
"Select the sequence of transformations AC = 6 that would show that triangles ABC and AED are similar. The length of AC is 6.
A. Dilate from centre A by a scale factor of 2, then reflect over line AC.
B. Dilate from centre A by a scale factor of 2, then rotate 60° around angle A.
C. Translate by directed line segment DC, then reflect over line AC.
D. Dilate from centre A by a scale factor of 4, then reflect over line AC."
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Three point charges are positioned on the x axis. If the charges and corresponding positions are +32 uc at x = 0, +20 uc at x = 40 cm, and -60 uc at x = 60 cm, what is the magnitude of the electrostatic force on the +32-uc charge?.
Three-point charges are positioned on the x-axis. If the charges and corresponding positions are +32 uc at x = 0, +20 uc at x = 40 cm, and -60 uc at x = 60 cm, the magnitude of the electrostatic force on the +32-uc charge is 7.89 N.
To calculate this, the first step is to calculate the electric field produced by each charge at the position of the +32-uc charge. This can be done by using the equation E = k * q/r^2, where k is the electrostatic constant (8.99x10^9 Nm^2/C^2), q is the charge in question, and r is the distance from the charge. For the +20 uc charge, the electric field is 4.42 N/C. The same equation can be used for the -60 uc charge to find the electric field produced, which is -8.07 N/C.
Next, the electric field due to the two charges needs to be added together to find the total electric field at the position of the +32-uc charge. This is done by simply adding them together, which gives -3.65 N/C. Finally, the magnitude of the electrostatic force on the +32-uc charge can be calculated using the equation F = q * E, where q is the charge in question and E is the electric field. Substituting in the values gives F = +32 * (-3.65) = -115.2 N. The magnitude of this force can be calculated by taking the absolute value, which gives 7.89 N.
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What is the equation of this line? PLEASE HURRYYY!!!!!!
Is the relationship linear, exponential, or neither?
No, the relationship is neither linear nor exponential.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
Ordered pairs from the table.
(15, 10), (16, 20), (17, 40), and (18, 70)
Now,
The rate of change between two ordered pairs is not the same.
Rate of change between (15, 10) and (16, 20).
= (20 - 10)/(16 - 15)
= 10/1
= 10
Rate of change between (16, 20) and (17, 40).
= (40 - 20)/(17 - 16)
= 20/1
= 20
This shows that it is not a linear relationship.
We can not make it in an exponential form.
i.e y = [tex]a^x[/tex]
Thus,
The relationship from the table is not linear nor exponential.
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May I have some help please
Answer:
not increasing increasing
Step-by-step explanation:
QUICK HURRY!!!!!!!!!!!!!!!!!!!!!!!!
Question How can you solve addition and subtraction inequalities?
Answer:
look at the explanation.
Step-by-step explanation:
To solve with addition... if a number is added to one side of an inequallity the the same number should also be added to the opposite side. This is so that the inequallity remains at the regular state. Satisfied in other words.
To solve with subtraction... If a number is subtracted from both of the sides of the inequallity the the point of the inequallity stays unchanged. (equality symbol) to be more specific.
with an estimated u.s. population of 325 million people, if per capita energy consumption is approxi-mately 3.5 >< 108 btu, how much energy does the entire population consume? (a) 1.14 x 108 btu (b) 1.14 x 1014 btu (c) 1.14 x 1015 btu (d) 1.14 x 1016 btu (e) 1.14 x 1017 btu
If per capita energy consumption is approximately 3.5 × 108 BTU for US population of 325 million people , the energy the entire population consume is 1.14 × 1016 BTU. The correct answer is (d).
The United States has a population of approximately 325 million people. To estimate the total energy consumption for the entire population, we need to multiply the per capita energy consumption by the total number of people.
The per capita energy consumption is given as 3.5 × 108 BTU, which means that on average, each person in the US consumes 3.5 × 108 BTU of energy. By multiplying this value by the total population, we can estimate the total energy consumption for the entire population.
The calculation can be done by multiplying the per capita energy consumption by the population:
Per capita energy consumption (E): 3.5 × 108 BTU
Population (P): 325 million
Total energy consumption (T) = E × P
To calculate T, we need to multiply E and P:
3.5 × 108 BTU × 325 million = 1.14 × 1016 BTU
The total energy consumption for the entire population is 1.14 × 1016 BTU
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Does someone mind helping me with this problem? Thank you!
Answer:
(x, y) = (-2, 2)
Step-by-step explanation:
You want to solve by elimination the system 4x +5y =2; -2x +2y = 8.
ObservationThe x-coefficients are related by the integer factor -2. The y-coefficients are not related by an integer factor. This suggests it will be easier to eliminate the x-terms.
Since the x-terms have opposite signs, we can multiply the second equation by 2 and add it to the first to eliminate the x-terms.
SolutionAdding double the second equation to the first, we have ...
(4x +5y) +2(-2x +2y) = (2) +2(8)
9y = 18 . . . . . . . . . . simplify
y = 2 . . . . . . . . . . . divide by 9
Using the second equation to find x, we have ...
-2x +2(2) = 8
-2x = 4 . . . . . . . subtract 4
x = -2 . . . . . . . . divide by -2
The solution is (x, y) = (-2, 2).
__
Additional comment
As a check on our solution, we have attached a graphical solution that gives the same result.
If U1 And U2 Are Orthogonal Unit Vectors Andv=Au1 + Bu2, Find v*u1
What is an equation of the line that passes through the point (8,-5) and is perpendicular to the line 5x+4y=24
Answer:
To find the equation of the line that passes through the point (8, -5) and is perpendicular to the line 5x + 4y = 24, you can use the following steps:
Find the slope of the line 5x + 4y = 24. To do this, you can rearrange the equation to the slope-intercept form y = mx + b, where m is the slope. So, you get y = -5/4 x + 6
Since the line is perpendicular to the line 5x + 4y = 24, the slope of the line is the negative reciprocal of the slope of the line 5x + 4y = 24 which is -4/5
Now, use the point-slope form of the equation of a line which is y - y1 = m(x - x1). So, the equation of the line that passes through the point (8, -5) and is perpendicular to the line 5x + 4y = 24 is :
y - (-5) = -4/5(x - 8)
y + 5 = -4/5x + 8/5
y = -4/5x + 13/5
So, the equation of the line is y = -4/5x + 13/5
What is the solution of log2?
The solution of log2 is approximately 0.30102999566. To solve for log2, one can use a calculator to calculate the logarithm of 2 to any given base.
To solve for log2, one can use a calculator to calculate the logarithm of 2 to any given base. For example, using a calculator set to base 10, one would enter the number 2 and then press the 'log' button. The answer would be 0.30102999566. This is the solution to log2. Alternatively, one could use a logarithm table to look up the answer. To do this, one would find the row labeled "base 10" and then find the column labeled "2". Then, find the corresponding number in the table, which would also be 0.30102999566.
The solution of log2 is approximately 0.30102999566.
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Write an equation of a line passing through (2, 2) and perpendicular to
У =
5* - 3.
The equation of a line passing through (2, 2) and perpendicular to y = 5x - 3 is y = -3x + 8.
What is equation?An equation is a mathematical statement between two expressions, with an equal sign (=) to indicate that both expressions are of the same value. Equations can be used to solve a variety of problems in mathematics, physics, chemistry, and other sciences. Additionally, equations are used to express relationships between different variables or unknowns.
The equation of a line passing through (2, 2) and perpendicular to the given line is y = -3x + 8.
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Give cb/ba = de/ef find BA
The value of BA = 11.2
Determining the length of BA:Here we use the condition CB/BA = DE/EF to determine the Length of BA
Substitute the lengthS of each side as per the given figure and solve the condition for the Length of the side BA.
Given that CB/BA = DE/EF
From the given figure,
CB = 7, DE = 5, and EF = 8
Substitute the above values in the given condition
=> 7 /BA = 5 /8
Do cross multiplication
=> BA(5) = 7(8)
=> 5BA = 56
=> BA = 11.2
Therefore,
The value of BA = 11.2
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How many minutes is 1 km?
Answer:60
Step-by-step explanation: You are currently converting speed units from kilometers per hour to minute per kilometer 1 kph = 60 min/km
suppose the three qubits held by alice, bob, and charlie are in a quantum state . if alice measures her qubit to be in the state , what is the probability that bob and charlie will find their qubits to be in the state ?
If Alice measures her qubit to be in the state, then the probability that Bob and Charlie will find their qubits to be in the state is 1/4. This is because the overall quantum state must collapse into the state Alice measured, so the probability of Bob and Charlie measuring the same state is 1/4.
In more detail, when Alice measures her qubit the three qubits must collapse into the state measured by Alice, due to the principles of quantum mechanics. This means that the probability of Bob and Charlie measuring the same state is 1/4, as the state measured by Alice is the only possible outcome. This is because the other three possible states (, and ) are no longer possible as they have been ‘erased’ by Alice’s measurement. To illustrate this, consider a quantum state of three qubits in the form of a ‘coin-flip’.
If Alice measures her qubit to be in the state, then the other two qubits must also be in the state. This is because the only possible outcomes of this quantum state are either all heads or all tails, and Alice’s measurement has ‘erased’ the other three possible outcomes (i.e. heads and tails, tails and heads, heads and heads). Therefore, the probability that Bob and Charlie will find their qubits to be in the state is 1/4.
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I need help please hurry
Answer:
(-3,4) for the second problem
Step-by-step explanation:
This is a system of equations. We can solve the first for y and use that in the second.
Solve first one for y:
3x + y = -5
y = (-3x - 5)
Use this value for y in the second equation:
8x + 7(-3x - 5) = 4
8x - 21x -35 = 4
-13x = 39 (divide both sides by -13 here)
x = -3
Now put this value for x into one of the original equations to get y:
3(-3) + y = -5
-9 + y = -5
y = 4
You can put these x and y values into the original equations to check your work.
The equation below models the amount of profit the movie "Mission Impossible III" earned (in millions of dollars) at the Box Office each week "" since it's initial premiere.
Use this information to answer the questions attached.
Movie theater clipart 2 | Movie decor, Clip art, Movie theater
Question at position 5
5
2 points
Question at position 5
What does the "" mean in context of the problem?
Equations, their parts and how to solve them is discussed above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is an equation that models the amount of profit the movie (Mission Impossible III) earned (in millions of dollars) at the Box Office each week.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign.
The steps to solve a basic equation with one variable (linear) are given below:
Step 1 : Bring all the terms with variables on one side and all the constants on the other side of the equation by applying arithmetic operations on both sides. Step 2 : Combine all like terms (terms containing the same variablewith the same exponent) by adding/subtracting them.
Step 3 : Simplify it and get the answer.Therefore, equations, their parts and how to solve them is discussed above.
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what is the average lexile score for an 8th grader?
four girls take turns flipping a fair coin until a head appears. what is the probability that the first girl is the first top lip a head
The probability that the first girl is the first to flip a head is 1/2.
The probability of appearing a head is 1/2.
If the number of toss required is odd as in one attempt represent odd number , we have following sequence of events
H, TTH, TTTTH.....
The required probability P will be
P = 1/2 + (1/2)³ + (1/2)⁵..........
As she flipped it in first go the probability will be 1/2.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
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