Given:
The relation S is:
[tex]S=\{(4,9),(-9,4),(0,-9),(6,6)\}[/tex]
To find:
The domain and range of S.
Solution:
If a relation is defined by the set of ordered pairs (x,y), then the domain is the set of x-values and range is the set of y-values.
Let R be a relation defined as [tex]R=\{(x,y):x\in R,y\in R\}[/tex], then [tex]Domain=\{x:x\in R\}[/tex] and [tex]Range=\{y:y\in R\}[/tex].
The given relation is:
[tex]S=\{(4,9),(-9,4),(0,-9),(6,6)\}[/tex]
Here, x-values are 4,-9,0,6 and the y-values are 9,4,-9,6.
So, the domain and range of the given relation S are
[tex]Domain=\{-9,0,4,6\}[/tex]
[tex]Range=\{-9,4,6,9\}[/tex]
Therefore, [tex]Domain=\{-9,0,4,6\}[/tex] and [tex]Range=\{-9,4,6,9\}[/tex].
Simplify the radical
Answer:
4
Step-by-step explanation:
4 to the 4th power is 256
Rosa saved 40% more this month than last month. If she saved $500 this month, how much did she save last month?
Answer:
$375.14
Step-by-step explanation:
Let m represent the amount Rosa saved last month
From the question, she saved 40% more this month than last month. The total amount saved can be represented by 1.40 ( 100 + 40%)
this equation can be developed based on the information provided
1.4 x m = $500
To find m, divide both sides of the equation by 1.4
m = $500 / 1.4
m = $357.14
From a 18-foot roll of rubber hose, a person cuts lengths of 23 feet, 2 22 feet, and 6 61 feet. How much hose is left on the roll?
Answer:
Trick question? You can't cut 23 feet from an 18 foot roll.
Did you leave out the decimal points?
Step-by-step explanation:
Answer:
You can't cut 23 or 24 feet from 18 foot roll.
If a kickball has the diameter of 12 inches , how much air could this call contain ?
Answer:
904.32. cu.in
Step-by-step explanation:
diameter= 12 inches
radius= 13/2=6 inches
volume of sphere= 4/3 πr³ = 4/3 ×π × 6³ = 904.32 cu.in
The amount of air contain in kickball is,
⇒ V = 904.32 in³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A kickball has the diameter of 12 inches.
Hence, We get;
⇒ Radius = 12/2
⇒ Radius = 6 inches
Since, We know that;
⇒ volume of sphere= 4/3 πr³
Hence, We get;
⇒ V = 4/3 ×π × 6³
⇒ V = 904.32 in³
Thus, The amount of air contain in kickball is,
⇒ V = 904.32 in³
Learn more about the multiplication visit:
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If <2 = <6, which must be true about <2?
Answer:
If 2 6, which must be true about 2? 2 is complementary to 5.
Step-by-step explanation:
Welcome for the answer. This answer is for good intentions only, report if necessary. Thank you and have a good rest of your day!If Johnny caught 2 out of 5 catfish on his first fishing trip how many catfish can he expect to catch if he caught a total of 60 fish?
60
24
600
6
Answer:
B, 24
Step-by-step explanation:
2 : 5 ratio of catching catfish
X : 60
2/5 = X/60
6 x (2/5) = (X/60) x 60
60 x (2/5) = X
X = 60 x (2/5)
X = 24
Therefore he can except to catch 24 catfish
2x - 15 = x + 5
Plz I need it now
Answer:
[tex]2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ x = 20[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Answer:
x=20
Step-by-step explanation:
2x-15=x+5
-x -x
x-15=5
+15 +15
x=20
- The food company is now designing soup boxes. The largest box of soup will be a dilation of the smallest box using a scale factor of 2. The
mallest box must hold 8 fluid ounces or about 15 cubic inches of soup. Find a set of dimensions for the largest box. Round your answers to the
earest tenth if necessary. Explain your reasoning.
Possible dimension of the large box 2in by 3in by 5in,
Dilation of figuresFrom the given information, the smallest box holds 8 fluid ounces or about 15 cubic inches of soup.
If the small box is dilated by a factor of 2, hence the volume of the large box will be expressed as:
Find the volume of the large boxVolume = 2(15)Volume = 30 cubic inchesGet the possible dimension
Possible dimension of the large box 2in by 3in by 5in.
learn more on dilation here: https://brainly.com/question/3457976
The dimension of the large box is height of 5 inch, width of 2 inch and length of 3 inches.
Dilation
Dilation is the increase or decrease in the size of a figure by a scale factor of k.
Given that the largest box of soup will be a dilation of the smallest box using a scale factor of 2. Hence:
Volume of large box = (8 * 2) fluid ounce or (15 * 2) in³ = 30 fluid ounce or 30 in³
The dimension of the large box is height of 5 inch, width of 2 inch and length of 3 inches.
Find out more on Dilation at: https://brainly.com/question/10253650
HELP GIVING 25 POINTS, PLS HELP ITS SIMPLE INEQUALITIES, PLS HELP!! ADD ME ON DISCORD simen#9651 FOR MORE PROBLEMS AND A LOT MORE POINTS I HAVE LIKE 470 POINTS, PLS HELP PLS PLS PLS HELPP!!
It's not possible to build a triangle with side lengths of 3, 3, and 9.
A. True
B. False
Answer:
False
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side
What is the mid point of the segment shown below (1,2) (1,-5)
Answer:
(1, -3/2)
Step-by-step explanation:
Answer:
(1, -3/2)
Step-by-step explanation:
[1 + 1)/2, 2 + (-5)/2] = (2/2), (-3/2)
Which characteristics describe the graph of (x – 6)2 + (y – 12)2 ≤ 196?
circle with solid boundary, center at (6, 12), bounded solution set
circle with solid boundary, center at (–6, –12), bounded solution set
circle with solid boundary, center at (6, 12), unbounded solution set
circle with solid boundary, center at (–6, –12), unbounded solution set
The characteristics describe in the graph of the circle inequality are a circle with a solid boundary, center at (6, 12), and bounded solution set option first is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle equation in the inequality form:
(x – 6)² + (y – 12)² ≤ 196
The center of the circle is at (6, 12)
The radius of the circle is:
r² = 196
r = 14 units
After drawing a circle on the coordinate plane.
We will see, a circle with a solid boundary, center at (6, 12), and bounded solution set.
Thus, the characteristics describe in the graph of the circle inequality are a circle with a solid boundary, center at (6, 12), and bounded solution set option first is correct.
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Answer:
A:)
Step-by-step explanation:
See attached!
Rena, Chris, and John sent a total of 100 and one text messages during the weekend. Chris sent five more messages than Reina. John sent two times as many messages as Rena. How many messages did they each send?
Answer:
Reina sent 24
Chris sent 29
John sent 48
Step-by-step explanation:
Reina sent 24.
Chris sent 5 more
So 29.
John sent double if Reina's.
24•2
48
Then add to check work.
24+29+48
101
Hope this helps
the relative extrema of f(×)=x³-x+1
What is the measure of
A) 45 degrees
B) 145 degrees
C) 135 degrees
D) 55 degrees
An icosahedron has twelve faces, the most of any Platonic solid.
Answer:
Step-by-step explanation:
True
Help me plzzzz??!!! Anyone??
Answer:
12
Step-by-step explanation:
Answer:
we have a same question bro TwT
Step-by-step explanation:
i also doesn't know the answer TwT but i thought its 12
What is the vertex of y=5(x-1)^2+4
Answer:
the vertex is (1,4)
Step-by-step explanation:
your welcome :)
Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =
Answer:
P(A or B) = 0.75
Step-by-step explanation:
For Venn probabilities, we have that:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In which [tex]P(A \cup B)[/tex] is P(A or B).
We have that:
[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]
So
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.75[/tex]
P(A or B) = 0.75
Which equation is a linear function?
y= 1 - 5
3m2 - 3
y = 22 - 1
y= 22 +7
Answer:
None
Step-by-step explanation:
I think
all numbers that have an absolute vlue of -3
Answer:
No numbers have an absolute value of -3
Step-by-step explanation:
hippity hoppity your pints are my property
absolute value cannot be negative tho
A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5
centimeters. Jen filled the bottom layer of the box with 24 cubes. What is the
volume of the box?
Answer:
120 centimeters cubed
Step-by-step explanation:
You don't even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)
You randomly pick a nut from a can of mixed nuts 20 times
and record the results: 5 almonds, 6 peanuts, 2 hazelnuts,
3 pecans, and 4 cashews. Find the experimental probability
of the event.
1. Choosing an almond
2. Choosing a peanut
3. Choosing a peanut or cashew
4. Choosing not an almond
6. Choosing a walnut
5. Choosing not a peanut
Answer:
you have the highest chance of getting peanuts
The department of motor vehicles wants to check whether drivers have a slower reaction time after drinking two cans of beer. This was done by selecting a sample of 19 drivers and randomly assigning them to one of the two groups. The reaction times (measured in seconds) in an obstacle course are measured for a group of 10 drivers who had no beer. The other group of 9 drivers were given two cans of beer each and their reaction times on the same obstacle course are measured.
What is the parameter of interest?
a. The mean reaction times (measured in seconds)
b. The mean difference in reaction times between all those who drink no beers and all those who drink two cans of beer
c. The difference between the mean reaction time of the sample of those who drink no beers and the mean reaction time of the sample of those who drink two cans of beer
d. The difference between the mean reaction time of all those who drink no beers and the mean reaction time of all those who drink two cans of beer
An unbiased coin is tossed 300 times. How many heads should you expect to obtain?
(Don't comment "here is the link to the answer" because it won't let me access it. Thank you.
Jazz emerged as musicians combined elements of
A. bluegrass, hip-hop, and concert band music
B. classical, ragtime, and blues
C. folk, rap, and movie music
D. classical, lullabies, and rock 'n' roll
Answer:
B
Step-by-step explanation:
Answer:
The person above is correct.
Step-by-step explanation:
Don't have proof I just know, trust\(￣︶￣*\))
hey,need the answer.Have a nice Easter ❤️❤️
Answer:
(B)-4
Step-by-step explanation:
ASAP ASAP ASAP ASAP please please help ASAP ASAP please please ASAP ASAP please ASAP help please please ASAP please
Step-by-step explanation:
The lateral area is
[tex]42\pi[/tex]
The surface area is
[tex]60\pi[/tex]
The volume is
[tex]63\pi[/tex]
Evaluate: show your work
Find the value of the variable.
102-8m=86
HELP. PLEASE HELP ME. I could really use your help. Please and thank you :))
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds
Answer:
s + b = $24,000
And,
s = 3b + $6,000
Step-by-step explanation:
Let us assume the stock be s
And, the bonds be b
So according to the question
It is given that
s + b = $24,000
And,
s = 3b + $6,000
The answers are
s + b = $24,000
And,
s = 3b + $6,000
The same would be considered