Fill in the blank. A relation is a(n)___________ if for each input there is exactly one output.
Answers
The answer is Function.
Related Questions
solve the system of linear equations by graphing. I'm having trouble on 10
Answers
And we see that the solution is at (0,6) that is x=0, and y=6
You roll two dice 44 times how many times do you expect to roll a same number on both die?
Answers
Answer:
12
Step-by-step explanation:
Because 44 divided by 6(the number of rolls you can get) rounds to 12
Solve the system.
-5x - 6y = -17
-3x -5y + 5z = 2
-6x - 5y + z = -13
Enter your answer as an ordered triple.
(?, ?, ?)
Answers
The value of x, y and z in the system equation is (1, 2, 3).
What is the solution of the equation?The solution of the equation can be determined by using Cramer's rule as follows;
[-5 -6 0] = [ -17]
[-3 -5 5] [2 ]
[-6 -5 1] [-13 ]
The determinant of the matrix is calculate as;
Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)
Δ = 62
The x-determinant of the matrix is calculated as follows;
Δx = -17(-5 + 25) + 6(2 + 65) + 0
Δx = 62
The y-determinant of the matrix is calculated as follows;
Δy = -5(2 + 65) + 17(-3 + 30) + 0
Δy = 124
The z-determinant of the matrix is calculated as follows;
Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)
Δz = 186
The value of x, y and z is calculated as follows;
x = Δx/Δ = 62/62 = 1
y = Δy/Δ = 124/62 = 2
z = Δz/Δ = 186/62 = 3
Learn more about system equations here: https://brainly.com/question/13729904
#SPJ1
2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.
Answers
Compute the following using a calculator.
csc(203∘)
Round your answer to the nearest thousandth, and only include the numerical value in your answer - do not write cscθ= in your response.
Answers
Using a calculator, the value of csc (203°) is -1.086
How to compute csc (203°) using a calculator?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
Since csc (203°) = 1/[sin (203°)]
Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:
1/[sin (203°)] = -1.086
Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.
Thus, the value of csc (203°) is -1.086
Learn more about Trigonometry on:
brainly.com/question/11967894
#SPJ1
If f(x) = 5 x + 2 and g(x) = x - 1
f(g(4)) =
Answers
5((4)-1) +2
5 times by 4 is 20 then minus one is 19 then plus two is 21
(I NEED THIS RIGHT NOW!! PLEASE GIVE EXPLANATION!!) Millie and her brother, Jack, sold candy baes for the band fund-raiser. Millie sold three times as many candy bars as Jack. If Jack sold 30 candy bars, which equation and solution can be used to represent y, the number of candy bars Millie sold?
A. 3y = 30; y = 10
B. 30 = y/3; y = 103
C. 30 = y/3; y = 90
D. 3y = 30; y = 90
Answers
The reason for this is that we know that Millie sold 3 times as much as Jack, and, if we use x to represent the number that Jack sold, and y to represent the number that Millie sold, we can form the equation y=3x which is equivalent to x=y/3.
By substituting x=30, we get to 30=y/3 and multiplying both sides by 3, we get to y=90
Answer:
C
Step-by-step explanation:
When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C
PLS GIVE BRAINLIST
Happy Easter
answer me and you will become swag
Write in point-slope form an equation of the line that passes through the point (1, 7) with slope −3.
Answers
Solve for t:
t + 1 = 24
A. t = 23
B. t = 25
C. t = 31
D. t = 20
Answers
Answer:
t = 25
Step-by-step explanation:
T is 25 because you take 1 away from the t+1 side and add the 1 to the 24 side.
Multiply the polynomials and simplify by combining like terms.
(x2 + 2) (4x3+x-5) = Simplify your answer
Answers
Answer:
4x^5+9x^3-5x^2+2x-10
Step-by-step explanation:
(x^2+2)(4x^3+x-5)
4x^5+x^3-5x^2+8x^3+2x-10
4x^5+x^3+8x^3-5x^2+2x-10
4x^5+9x^3-5x^2+2x-10
what is the perpendicular and parallel lines of y= -2 -4x
Answers
y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.
Where m represents the slope and y intercept is -2.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.
The negative reciprocal of -4 is 1/4.
Therefore, the slope of the perpendicular line is 1/4.
The perpendicular line is y=1/4x-2.
We know that the parallel lines have same slope.
y=-4x+3
Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ1
Prove that the quadratic Sequence 44:52:64; 80: will always have even terms
Answers
The sequence is will always have even numbers, is hence proved.
Given, the quadratic sequence is: 44:52:64:80
Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.
The formula is: Tₙ = 2n² ₊ 2n ₊ 40
take 2 common
Tₙ = 2(n² ₊ n ₊ 20)
in other words n² ₊ n ₊ 20 = y
therefore , Tₙ = 2y
which by definition makes Tₙ an even number at all times.
Learn more about Quadratic sequences here:
brainly.com/question/7882626
#SPJ9
Anthony is making mashed potatoes. He
needs cup of milk. He wants to make 3
batches. How much milk will he use?
Answers
Answer:
3 cups clearly
Step-by-step explanation:
Answer: He will need one cup of milk per serving, so he needs 3 total
Step-by-step explanation: 1 x 3 = 3
The perimeter of a rectangle is 180 meters. If the length of the rectangle is 20 meters more than the width, what are the dimensions of the rectangle
Answers
Answer:
you just need all your dimensions to equal 180
Step-by-step explanation:
180 = 20........
What is x? Do not include the degree symbol in your answer.
Answers
the answer is 56 it
ttgt
It would look like this
43+75 <———— the 2 angles
43+75 =118 <———- you subtract
180-118<————- the product is your angle
68<———- that is your missing angle or x
How many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 70% antifreeze?
Answers
The gallons of a 80% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 70% antifreeze is x=315
Use a weighted average........ let x = an unknown number of gallons of the 80% solution.
then {x(80%) + 70 (25%)}/{x +70} =70%
{x*\(\frac{80}{100}\) + 70*\(\frac{25}{100}\)}/{x +70} =70%
{\(\frac{4x}{5}\) +17.50}/{x +70} =70%
\(\frac{4x+87.5}{5x+350}\) = \(\frac{70}{100}\)
40x+875 = 35x + 2450
40x-35x = 2450-875
5x = 1575
x=315
Keep in mind that the substance with the highest concentration is the solvent.
There are numerous varieties of solutions. A solute, for instance, could be a gas, a liquid, or a solid. Additionally, solvents can be solids, liquids, or gases.
The behavior of several types of solutions at the microscopic level is depicted in the following illustrations. You'll see that the solute particles are evenly spaced out among the solvent particles in each instance.
A solution is a homogeneous mixture of one or more solutes dissolved in a solvent. solvent: the substance during which a solute dissolves to produce a homogeneous mixture. solute: the substance that dissolves during a solvent to produce a homogeneous mixture. The solute is the substance that is being dissolved, while the solvent is the dissolving medium. Solutions are often formed with many different types and forms of solutes and solvents.
To learn more about solutions from the given link:
brainly.com/question/7932885
#SPJ9
pls help look on the images
Answers
You graph >7 with an open dot to the right.
The inequalities ≤ and ≥ would have a closed dot on the number line.
a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".
s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".
t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".
What are inequality signsInequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:
Less than: <Greater than: >Less than or equal to: ≤Greater than or equal to: ≥These symbols are used in mathematical expressions and equations to compare values and express relationships between them.
Therefore, with a good understanding of inequality signs we conclude that:
On a graph, > 7 is with an open dot to the right.
Only the inequalities ≤ and ≥ would have a closed dot on the number line.
a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".
s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".
t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".
Know more about inequalities here:https://brainly.com/question/28494332
#SPJ1
Plz helpp will brainlist
Answers
Answer:
10(g -1) and 12g + 30
Step-by-step explanation:
Lauren has a garden in the shape of a rectangle where the length is 5.4 meters and 1.5 meters. She plans on increasing both the length and width by 40%
Answers
Answer:
5.4 = 7.56
1.5 = 2.1
Step-by-step explanation:
Just find the answer for 40% of the given meters.
There are 110 students on the team. 100% of them will be off for break. How many students are on break?
Answers
Answer:
110
Step-by-step explanation:
100% of 110 means all of 110, which is just 110.
Are you sure you didn't make a typo here because I'm pretty sure this wouldn't be given on a homework. Just wondering.
By using the trapezoidal rule with 5 ordinates, approximate [sin(x²+1) dx to 4 decimal places.
Answers
Using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.
To approximate the integral [sin(x²+1) dx] using the trapezoidal rule with 5 ordinates, we can use the following formula:
∫[a,b]f(x)dx ≈ [(b-a)/2n][f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + 2f(a+4h) + f(b)]
where n is the number of ordinates (in this case, n = 5), h = (b-a)/n is the interval width, and f(x) = sin(x²+1).
First, we need to find the interval [a,b] over which we want to integrate. Since no interval is given in the problem statement, we'll assume that we want to integrate over the interval [0,1].
Therefore, a = 0 and b = 1.
Next, we need to find h:
h = (b-a)/n = (1-0)/5 = 0.2
Now, we can apply the trapezoidal rule formula:
∫[0,1]sin(x²+1)dx ≈ [(1-0)/(2*5)][sin(0²+1) + 2sin(0.2²+1) + 2sin(0.4²+1) + 2sin(0.6²+1) + 2sin(0.8²+1) + sin(1²+1)]
≈ (1/10)[sin(1) + 2sin(0.05²+1) + 2sin(0.15²+1) + 2sin(0.35²+1) + 2sin(0.65²+1) + sin(2)]
≈ (1/10)[0.8415 + 2sin(1.0025) + 2sin(1.0225) + 2sin(1.1225) + 2sin(1.4225) + 1.5794]
≈ 0.5047
Therefore, using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.
Learn more about Trapezoidal Rule at
brainly.com/question/30401353
#SPJ1
You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply.
A) 68, 73, 77, 75, 23, 62 B) 84, 73, 28, 91, 93, 77 C) 24, 22, 21, 19, 23, 25 D) 18, 13, 56, 21, 12, 19 E) 77, 15, 81, 83, 84, 72
Answers
The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.
What is median of a data set?The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.
For example the median of option A) is calculated as follows:
Data set= 23,62,68,73,75,77
Median = 68+73/2 = 70.5
Therefore the median is between 68 and 73 which is = 70.5
Learn more about mean here:
https://brainly.com/question/32663929
#SPJ1
HELP HELP HELP First to "help" rather than just answer with a random thanks for the points kinda response gets brainliest
Answers
Hope this helps :)
This is the answer
Write 4.48 as a mixed number in simplest form.
Answers
Answer:
4 12/25
Step-by-step explanation:
4.48 can be written as 4 48/100
Simplify
4 24/50
Simplify some more
4 12/25
Hope this helped :)
(Didn't you just ask this question?)
Answer:
4 48/100 or 4 12/25
Step-by-step explanation:
the 48 in the hundredths place is obviously going to equal 48/100 and you can divide both the 48 and 100 by 4. 48÷4=12 100÷4=25
Ms. Chung drives the same distance to go to work every Monday through Friday. On Saturday she drove g the distance she drives to work. The distance she drove on Saturday was 0.9 miles. Part A: In the first box, enter an equation to represent the distance, d, that Ms. Chung drives to work. Part B: In the second box, enter the distance Ms. Chung drives to work.
Answers
A) The algebraic expression will be 12d + 7 = 91
B) He drives 7 miles per day to work.
For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.
The distance she drove on Saturday was; 0.9 miles.
The number of miles she drives per day:
84 miles/12
= 7 miles per day
Let the number of miles she travels be day = d
12d + 7 = 91 miles
12d + 7 = 91
12d = 91 - 7
12d = 84
d = 84/12
d = 7 miles per day
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ1
evaluate if x=5 xsquard+10=
Answers
Answer:
35!
Step-by-step explanation:
5squared is 25 so you then do 25+10 wich = 35!
Consider the following functions.$(x) = x2 + 9 and g(x) = -x + 6Step 2 of 4: Find g(a)-f(a). Simplify your answer.Answer8(a)-f(a)
Answers
The functions are given as,
\(\begin{gathered} f(x)\text{ = x}^2+9 \\ g(x)\text{ = -x + 6} \end{gathered}\)f(a) is calculated as,
\(f(a)\text{ = a}^2+9__\text{ \_\_\_\_\_\_\_\_\lparen1\rparen}_\)g(a) is calculated as,
\(g(a)\text{ = -a + 6 \_\_\_\_\_\_\_\lparen2\rparen}\)Subtracting equation (1) from (2),
\(\begin{gathered} g(a)\text{ - f\lparen a\rparen = \lparen-a+6\rparen- \lparen a}^2_+9) \\ g(a)\text{ - f\lparen a\rparen = -a + 6 - a}^2-9 \\ g(a)\text{ - f\lparen a\rparen= -a}^2\text{ - a - 3} \\ g(a)\text{ - f\lparen a\rparen= -\lparen a}^2+\text{ a + 3\rparen} \end{gathered}\)Thus the required answer is,
\(g(a)\text{ - g\lparen a}\operatorname{\rparen}\text{=-\lparen a}^2\text{ + a + 3\rparen}\)A consumer wanted to compare two types of battery storage. One type is refrigerated and the other is room temperature. It is a common belief that refrigerated batteries last longer. This belief is tested by placing 10 fully charged batteries into each type of storage and then measuring the percentage of charge remaining after thirty days. A coin tip was used to determine which type of storage each battery would be placed in first. Results indicated that there was no difference in the two types of storage Complete parts (a) through in below.
What type of experimental design is this?
A) Matched pairs design
B) Completely randomized design
C) Randomized block design
D) Case-control study
Answers
Answer:
A) Matched pairs design
Step-by-step explanation:
In experimental design, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.
Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.
4 less tha the product of a 5 and a number
Answers
Answer:
5+n(-4)
Step-by-step explanation:
this is the equation if that helps??
Answer:
5*N-4 five times a number n minus four
Given: RT ≅ TV and ST ≅ TU
Prove: RSVU is a parallelogram.
Quadrilateral R S V U is shown. Diagonals are drawn from point R to point V and from point S to point U and intersect at point T. The lengths of R T and T V are congruent. The lengths of U T and T S are congruent.
Statements
Reasons
1. RT ≅ TV;
ST ≅ TU 1. given
2. ∠RTS and ∠VTU are vert. ∠s;
∠RTU and ∠VTS are vert. ∠s 2. definition of vertical angles
3. ∠RTS ≅ ∠VTU;
∠RTU ≅ ∠VTS 3. vertical angles are congruent
4. ? 4. SAS congruency theorem
5. ∠VRS ≅ ∠RVU; ∠USR ≅ ∠SUV;
∠VRU ≅ ∠RVS; ∠RUS ≅ ∠USV 5. CPCTC
6. ∠VRS and ∠RVU, ∠USR and ∠SUV, ∠VRU and ∠RVS, ∠RUS and ∠USV are each a pair of alternate interior angles 6. definition of alternate interior angles
7. RS ∥ UV and RU ∥ SV 7. converse of the parallelogram diagonal theorem
8. RSVU is a parallelogram 8. definition of parallelogram
What is the missing statement in step 4?
△RTS ≅ △VTU and △RTU ≅ △VTS
△RTS ≅ △RVS and △RTU ≅ △STV
△VRS ≅ △VRU and △USR ≅ △USV
△VUR ≅ △VUS and △UVS ≅ △SRU
Answers
Answer:
△RTS ≅ △VTU and △RTU ≅ △VTS should be your answer :)
Answer:
A
Step-by-step explanation:
