3
State the Domain and Range of the relation: {(8,5), (-6,-9), (2,5), (0,-8)}
D:{8,-6,2,0}: R:{5,-9.5,-8}
D:{5.-6.2.-8}; R:{0,-8.-2.-6}
D:(-6,0,2.8) : R:(-9,-8,5)
Answers
Explanation:
The domain is x and the range is y, so I'll go through each coordinate;
(8,5) domain=8; range=5
(-6,-9) domain=-6; range=-9
(2,5) domain=2; range=5
(0,-8) domain=0; range=-8
So the answer is D:{8,-6,2,0}: R:{5,-9,5,-8}
Related Questions
Help me solve this answer please
Answers
The factorise form of the polynomials are
x² + 6x + 9 = (x+3)²
x² - 6x + 8 = (x-2)(x-4)
x² - 4x -32 = (x+4)(x-8)
x² + x -42 = (x + 7)(x - 6)
What is factorisation ?A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, often smaller or simpler things of the same sort. For instance, factorizing the number 15 as 3*5
A number is swiftly factorized into smaller numbers or factors of the number using the factorization formula. A factor is a number that evenly divides the inputted number.
The subsequent stages aid in the polynomial factoring process. The steps to factorizing a polynomial are listed below.
Check to see if the polynomial's terms have a common factor.Choose the best technique for factoring polynomials. You can determine the polynomial's components by regrouping or by using algebraic identities.Polynomial should be written as the sum of its components.The polynomials are
x² + 6x + 9 = x² + 3x + 3x + 9 = x(x+3) + 3(x+ 3) = (x+3)(x+3) = (x+3)²
x² - 6x + 8 = x² - 2x - 4x + 8 = x(x-2)-4(x -2) = (x-2)(x-4)
x² - 4x -32 = x² + 4x - 8x - 32 = x(x + 4) -8(x + 4) = (x+4)(x-8)
x² + x -42 = x² + 7x - 6x - 42 = x(x+7) - 6(x + 7) = (x + 7)(x - 6)
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A jar contains 30 red marbles, 50 green marbles, and 20 blue marbles. What is the probability of getting a
marble that is not red when drawing one at random?
Answers
Answer:
P(not red marble)=8/11
Step-by-step explanation:
sample space is 110
subtract the red (30)
110-30=80
80/110=8/11
gg ez
Of that 100, 70 are not red (50 green + 20 blue).
This means you have a 70/100 chance of pulling something that’s not red.
70/100 reduces down to 7/10 or 70%.
I need help with this ( but I need to send another picture that has the answers )
Answers
Step 1:
Draw the figure
The diagonals of a rhombus bisect each other,
therefore
FJ = JH
this implies that
JH = 4.
Opposite angles of a rhombus are equal, so
The diagonals of a rhombus bisect the interior angles.
Therefore,
\(\text{ angle JHG = }\frac{120^0}{2}=60^0\)The diagonals of a rhombus are perpendicular
\(\begin{gathered} Hence, \\ \cos 60^0=\frac{4}{GH} \\ \Rightarrow GH=\frac{4}{\cos60^0}=\frac{4}{\frac{1}{2}}=4\times2=8 \end{gathered}\)GH = 8 (b)
Also,
Using the Pythagorean rule,
\(\begin{gathered} JG^2+4^2=GH^2 \\ \Rightarrow JG^2+16=8^2 \\ \Rightarrow JG=\sqrt[]{64-16}=\sqrt[]{48}=4\sqrt[]{3}=6.928\text{ } \\ \text{right choice is C} \end{gathered}\)FH = FJ + JH
this implies that
FH = 4 + 4 = 8
FH = 8
right choice B
The diagonals of a rhombus bisect the interior angles.
therefore
\(\begin{gathered} angle\text{ JFG = }\frac{angle\text{ IFG}}{2}=\frac{120^0}{2}=60^0 \\ \text{ right choice is h} \end{gathered}\)Sum of the interior angles of a rhombus is 360degrees.
And opposite interior angles of a polygon are congruent.
Therefore
\(2(\text{angle FGH) +2(angle IFG) = 360degr}ees\)\(\begin{gathered} \text{this implies that} \\ 2(\text{angle FGH) = 360 - 2(angle IFG)} \\ \Rightarrow\text{angle FGH = 180 -angle IFG = 180 - 120= }60^0 \\ \text{ right choice is h} \end{gathered}\)\(\begin{gathered} \text{ but }FGJ\text{ = }\frac{FGH}{2}\text{ (diagonals bisect interior angles)} \\ \Rightarrow\text{FGJ =}\frac{60^0}{2}=30^0 \\ \text{right choice is j} \end{gathered}\)Also,
\(\begin{gathered} \(\begin{gathered} \text{JGH}=\text{ }\frac{FGH}{2}=\frac{60}{2}=30^0 \\ right\text{ choice is j} \end{gathered}\)
braxton joins a gym.The gym charges him a $20 joining fee and will charge him $2 each month
Answers
Answer:
$22
Step-by-step explanation:
20+2=22,for first month joining
an american roulette wheel has 38 slots: two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 36. what are the odds for the ball landing in an odd-numbered slot? 18 incorrect to 1 incorrect what are the odds aganst the ball landing in an odd-numbered slot? 1 incorrect to 18
Answers
The odds for the ball landing in an odd-numbered slot = 9/19
The odds against the ball landing in an odd-numbered slot = 10/19
From the 38 slots, the slots numbered 0 and 00 are even. Then the numbers from 1 to 36 has 18 odd and 18 even numbers.
So there are a total of 20 even numbers and 18 odd numbers.
The odd for the ball landing in an odd-numbered slot is the probability to get an odd slot from the 38 slots.
SO, P( odd slot) = Number of odd slots/ Total number of slots
= 18/38
= 9/19
The odds against the ball landing in an odd-numbered slot is the probability of getting an even numbered-slot out of the 38 slots.
Hence, P(even slot) = Number of even slots / Total number of slots
= 20/38
= 10/19
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What is the solution for x in the equation?
-2x+14+10x=34
A. x=5/2
B. x=2/5
C. x=1/8
D. x=6
Answers
Step-by-Step Explanation:
=> -2x + 14 + 10x = 34
= -2x + 10x = 34 - 14 = 20
= 8x = 20
=> x = 20/8 = 5/2
Therefore, x = 5/2
30 IS 15% of WHAT number?
A. 333.3
B. 266.6
C. 600
D. 200
Answers
Answer:
The correct answer is D) 200
Step by step explanation:
Let x be the number:
Then,
→15/100(x)=30
→3/20(x)=30
→3x/20=30
→3x=20⋅30
→3x=600
→x=600/3=200
Hope it helps!
Answer:
D 200
Step-by-step explanation:
Let the number we are find be x. We can write this as an equation:
30 = 15%*x = (15/100)x
Multiplying by 100/15 on both sides to isolate x:
x = 30(100/15) = 2(100) = 200
Therefore, 200 is our answer. I hope this helps! :)
80,000,000+1,000,000+600,000+20,000+900+40+8 how is this written in standard form
Answers
Answer:
81,620,948
Step-by-step explanation:
this what you need?
if the area of rectangle is 96 CM if breadth is 8 then find length
Answers
Answer:
Step-by-step explanation:
Rectangle area formula is : Width* Length = Area
So:
8cm*L = 96cm
L = 96cm/8cm
L = 12cm
Formula of Area of a rectangle : l×b
96=l×8
l= 96/8
l= 12
Answer : The length of the rectangle mentioned above is 12 cm.
a car travels a distance of 340 km at an average speed 12km/h.how long does it take the car to travel this distance
Answers
Answer:
We can use the formula:
time = distance ÷ speed
where distance is in kilometers (km) and speed is in kilometers per hour (km/h).
Substituting the given values, we get:
time = 340 km ÷ 12 km/h
time = 28.33 hours (rounded to two decimal places)
Therefore, it takes approximately 28.33 hours for the car to travel a distance of 340 km at an average speed of 12 km/h.
Answer:28hrs and 20min
Step-by-step explanation:
rgrghwrt
A factory makes car batteries. The probability that a battery is defective is 1/11. If 500 batteries are tested, about how many are expected to be defective?
Answers
Answer:
45.45 batteries
Step-by-step explanation:
The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:
\(E= \frac{1}{11}*500\\E=45.45\ batteries\)
45.45 batteries are expected to be defective.
Answer:
45
Step-by-step explanation:
What is the slope of the line that goes through the points (1,-5) and (4,1)
A. -4/3
B. -3/4
C. 1/2
D. 2
Answers
Answer:
D. 2
Step-by-step explanation:
So you use the formula with is \(\frac{y_{1}-y_{2}}{x_{1}-x_{2}}\). so you get (1 - -5)/(4-1). this gets you to 6/3 and you get 2
HELP THIS IS DUE TONIGHT!!
What is the LCM (least common multiple) of the following
16ab^3 5a^2b^2 20ac
Also ^ means that it’s an exponent
Answers
In which quadrant would (8, -18) be in?
Answers
The LIGO experiment, which historically detected gravita- tional waves for the first time in September 2015, uses a pair of highly sensitive Michelson interferometers. These have arms that are 4.00 km long and use powerful Nd:Yag lasers with 1064 nm wavelength. The beams traverse the arms both ways 280 times before recombining, which effectively lengthens the arm length to 1120 km. The devices are tuned so that the beams destructively interfere when they recom- bine if no gravitational wave is present. (a) The beam has a power of 100 kW, concentrated into an area of a square centimeter. Calculate the amplitude of the electric field in the beam. (b) LIGO can detect a gravitational wave that temporarily lengthens one arm by the minus- cule amount of 10-18 m! When this happens, the beams combine with a phase difference of p d. Estimate the shift d in radians. Note that the phase difference accumulates during both traversals of each round trip. (c) Use Eq. (35.7) to estimate the sensitivity of the photodetector in terms of the minimal electric field strength needed to detect a gravi- tational wave.
Answers
To calculate the amplitude of the electric field in the LIGO beam, we divide the power of 100 kW by the area of a square centimeter.
(a) The amplitude of the electric field in the LIGO beam can be calculated using the formula:
Amplitude of electric field = √(Power / Area)
Converting the power of 100 kW to 100,000 W and the area of a square centimeter to square meters:
Amplitude of electric field = √(100,000 / 0.0001) = √(10^9) = 10^4 V/m
Therefore, the amplitude of the electric field in the LIGO beam is 10,000 V/m.
(b) The phase shift caused by a gravitational wave temporarily lengthening one arm by 10^-18 m can be estimated using the formula:
Phase shift = (2π * d) / λ
Where d is the change in arm length and λ is the wavelength of the laser. In this case, the effective arm length is 1120 km, which is equivalent to 1.12 x 10^6 m, and the laser wavelength is 1064 nm, or\(1.064 x 10^-6 m.\)
Phase shift =\((2π * 10^-18) / (1.064 x 10^-6) = 2π * 10^-12 radians\)
Therefore, the estimated phase shift caused by the gravitational wave is approximately\(6.28 x 10^-12\) radians.
(c) Using Eq. (35.7), the sensitivity of the photodetector can be estimated by relating the minimal electric field strength required to detect a gravitational wave to the phase shift:
Minimal electric field strength = (λ * Amplitude of electric field) / (4π * d)
Substituting the values obtained:
Minimal electric field strength = \((1.064 x 10^-6 * 10^4) / (4π * 10^-12)\)
Simplifying the equation:
Minimal electric field strength = 8.49 x \(10^7\) V/m
Therefore, the estimated sensitivity of the photodetector is approximately 8.49 x \(10^7\) V/m, indicating the minimal electric field strength needed to detect a gravitational wave.
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What's the radius of the big cylinder?
Answers
Answer:
I think 56.52
Step-by-step explanation:
To find the radius you'll have to do C=2(3.14)(9)=56.52
ASAP what is the following product? Assume b is greater than or equal to 0. Sqrt b * sqrt b
Answers
Answer:
b
Step-by-step explanation:
sqrt(b) * sqrt(b)
sqrt(b^2)
b
You want to know the area of your new bedroom so you can start planning for a new rug and
furniture. Your bedroom on the drawing is represented by figure ABCD and your actual bedroom
is represented by figure A'B'C'D'. If the dimensions of your bedroom on the drawing, ABCD, are
4.5 inches by 6 inches and the scale is 1 inch = 3.5 feet (the scale factor is 3.5), what is the area
of your new bedroom A'B'C'D'?
Answers
The area of the new room is 330.75 feet².
Area of rectangle:The measurement that expresses the size of a region on a plane or curved surface is called the area. The area of a form or plane sheet is referred to as a plane region or plane area.
Area of rectangle:The formula for the Area of a Rectangle is given by
Area of a Rectangle = Length × Width
Here we have
The bedroom on the drawing is represented by ABCD
and your actual bedroom is represented by figure A'B'C'D'
The dimensions of ABCD = 4.5 inches × 6 inches
The scale is 1 inch = 3.5 feet [ The scale factor is 3.5 ]
Given that 1 inch = 3.5 feet
=> 4.5 inch = 4.5 × 3.5 feet = 15.75 feet
=> 6 inch = 6 × 3.5 feet = 21 feet
Thus actual measurements of the room are 15.75 feet × 21 feet
Area of new room = 15.75 feet × 21 feet = 330.75 feet²
Therefore,
The area of the new room is 330.75 feet²
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Can anyone round the number 277235.2251 for me please. Asap please!!!
Answers
Answer:
277,235.23
Step-by-step explanation:
You have to round to the nearest 0.01 or you can call it the Hundredths Place.
Show that I need help ASAP
Answers
Answer:
8x - 1
Step-by-step explanation:
HELLLLLPPPPPP!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!
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Answers
Answer:
It would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which of the following rational numbers lies between 1/3 and 2/3?
Answers
24/48, 20/48, 18/48, 17/48
==========================================================
Explanation:
1/3 = 0.333 approximately
2/3 = 0.667 approximately
We're looking for values between 0.333 and 0.667
We can rule out choice A because 1 doesn't fit the description.
Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667
--------------------------
Choice B works because all the decimals shown below are between 0.333 and 0.667
24/48 = 0.50020/48 = 0.417 (approximate)18/48 = 0.37517/48 = 0.354 (approximate)at what points on the given curve x = 4t3, y = 5 40t − 26t2 does the tangent line have slope 1? (x, y) = (smaller x-value) (x, y) = (larger x-value)
Answers
The two points on the curve where the tangent line has a slope of 1 are (4/27, 170/3) and (784/27, 250/3)
To find where the tangent line has slope 1, we need to find where dy/dx = 1.
Using the chain rule, we have:
dy/dx = dy/dt * dt/dx
= (dy/dt)/(dx/dt)
= (40 - 52t) / (12t²)
So, we need to solve the equation
(40 - 52t) / (12t²) = 1
Simplifying, we get
52t = 12t² - 28
3t² - 13t + 7 = 0
Solving this quadratic equation, we get:
t = (13 ± √(13² - 437)) / (2*3)
t = 1/3 or t = 7/3
So, the corresponding x-values are
x = 4t³ = 4*(1/3)³ = 4/27 or x = 4*(7/3)³ = 784/27
And the corresponding y-values are:
y = 5(40t - 26t²) = 170/3 or y = 250/3
Therefore, the points where the tangent line has slope 1 are
(smaller x-value) = (4/27, 170/3)
(larger x-value) = (784/27, 250/3)
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Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
9 days
Step-by-step explanation:
because if you turn 7 ⅞ into 63/8 then do 63÷7 you get 9
Answer:
9 days.
write 7/8x9, and put a 1 under it.
7x9=63
8x1=8
63/8 simplified is 7 7/8
Step-by-step explanation:
PLS PLS PLS ANSWER ASAP PLEASEEEEE will give a Brainy T-T
Answers
Answer:
The answer is D) \(y=\frac{5}{7}x+6\)
Step-by-step explanation:
Trey pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon?
Answers
Answer:
$8.50
Step-by-step explanation:
You divide $22.10 by 2.6 to get the price per pound of salmon.
22.10 ÷ 2.6 = 8.5
In the year 2010, a person bought a new car for $26000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2014, to the nearest hundred dollars?
Answers
Answer:
$17,100
Step-by-step explanation:
Set up an equation where y is the worth of the car and t is the number of years since 2010:
y = 26000(0.9)^t
Plug in 4 as t, since it is asking about 2014:
y = 26000(0.9)^t
y = 26000(0.9)^4
y = 17058.6
Round to the nearest hundred dollars:
17058.6
= 17,100
So, the car will be worth approximately $17,100
16)
When the value of x is -48, which
equation is true?
A 24 + Źx = 12 C-4 =-20
BŽ -4 = -22
D 18+
18+ Źx =
(= 34
с
Answers
Answer:
C.) x/3 -4 = -20
Step-by-step explanation:
x = -48
= -48/3 - 4 ==> -16-4 ==> -20
hence, Option C.) satisfies the condition.
4•(2+5)^2 -5^2 how do I solve this?
Answers
Answer:
4•(2+5)^2 -5^2 = 171
Step-by-step explanation:
Do BIDMAS
(brackets, indices, division, multipy, add, sub)
so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps
Answer: Brackets => 4 x (7)^2 - 5^2
Indices/Orders => 4 x 49 - 25
Multiplication => 196 - 25
Subtraction => 171
PLEASE HELP WITH ANSWER ITS DUE TOMORROW
Answers
Answer:
A: 46 meters at 3 seconds
B: 0 meters at 6.033 seconds
C. It depends where the tree is
D. 6.033 seconds
Step-by-step explanation:
A. To find max height, we need to find the vertex.
We can do this by using vertex from y=a(x-h)+k for y=a^2+b^2+c^2
h(t) = -5t^2+30t+1
h(t)+45 = - 5x^2+30x+45+1
h(t)+45= -5(x^2-6x-9)+1
h(t)+45 = -5(x-3)^2+1
h(t) = -5(x-3)^2+46
Hence, the max height is 46 at 3 seconds
B. The minimum height is 0 meters because of the problem
C. It depends because the parabola intersects x=10 in 2 places meaning that you need the tree to be in either of these two places to intercept the horseshoe
D. -5x^2+30x+1=0
5x^2-30x-1=0
x= (30+-sqrt(30^2-4*5*-1))/2*5
x=(30+-sqrt920)/10
x=3+-2sqrt230/10
x=3+-sqrt230/5
This means that x = -0.033 or 6.033. Negative value doesn't make sense so it's 6.033 seconds