Answer:
fails the vertical line test: not a function
Step-by-step explanation:
You want to know how to tell if a relation is a function or not.
RelationA relation is a map between values of the independent variable (input, x) and values of the dependent variable (output, y). Such a map can be represented many ways, including a table, graph, set of ordered pairs, dual number lines, or even a diagram showing inputs and outputs. The attachment shows such a diagram.
A relation does not need to be between numbers. Tokens of any kind can be used for input and output identifiers.
FunctionA function is a relation in which each input corresponds (maps) to exactly one output.
The relation shown on the left of the attachment is not a function because the first (top) input item (A) maps to more than one output item (B).
When a relation is expressed as ordered pairs (x, y) or a table, it will be a function if and only if no x-value is repeated.
When a relation is expressed as a graph, it will be a function if and only if no vertical line intersects more than one point on the graph. (This is the "vertical line test.")
i need help with this
Answer:
B
Step-by-step explanation:
After the decimal point to the right it stands as 10's, than 100's, than 1000's then so on from there
I need help on this question
This table shows rainfall in centimeters for a city in different months the quadratic regression equation that models these data is y=-0.77x^2+6.06x-5.9. Using the model the predicted rainfall for month 11 is about -32.4 centimeters does this prediction make sense why or why not HELP ASAP
Answer:
(a) No; rainfall amounts are positive
Step-by-step explanation:
Rainfall amounts are measured using a gauge that reports the amount as zero when the gauge is empty. Any rainfall adds to the amount in the gauge, so is reported as a positive number. There is no way to remove more rainfall than is in the gauge, so there is no way to have a negative rainfall amount
A prediction of a negative rainfall amount makes no sense, because you can't have a negative amount of rainfall.
Sally is given $850. Every year, she decides to donate 9% of this money to charity until she has none left.
After 34 years, approximately how much money will Sally have left?
Answer:
Step-by-step explanation:
Year 1: $850 * 0.91 = $773.50
Year 2: $773.50 * 0.91 = $704.69
Year 3: $704.69 * 0.91 = $641.95
...
Year 34: (continue the pattern)
We can continue this calculation for each year, but to save time, we can use an exponential decay formula:
Remaining Amount = Initial Amount * (1 - rate)^years
Substituting the values:
Remaining Amount = $850 * (1 - 0.09)^34
Calculating this expression:
Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88
After 34 years, approximately $255.88 will be left with Sally.
Which sign makes the statement true?
67.18% ?
7
22
64
V
||
(Please NEED THIS AASP!)
The required sign that makes the statement true is "||".
The given options are 7, 22, 64, and V.
To express a percentage in mathematical notation, we divide the number by 100. In this case, 67.18% can be written as 0.6718.
Using the "||" symbol, we can write the equation as: 0.6718 || 7 = 22.
This equation represents the statement "0.6718 is to 7 as 22 is to 100." The vertical bar "||" signifies the ratio or proportion between the numbers. The double vertical bars "||" typically represent the symbol for "is equivalent to" or "is parallel to" in various contexts.
Therefore, the sign "||" makes the statement true.
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Question 1: Find the percent of change to the nearest tenth of a percent for Centerville
Question 2: Which town had the greatest percent of change
Question 3: What was the percent of change? (From your answer in Part B) Do Not Include 'Increase' or 'Decrease.' Round to the nearest whole percent.
Answer:
Sorry just trying to get points
work out the area of the circle
take pi to be 3.142 give your answer to 1 decimal place
radius 8
The area of the circle with the given radius is 201.088 square units.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the radius of a circle is 8 units.
Here, area of a circle
= 3.142×8²
= 3.142×64
= 201.088 square units
Therefore, the area of the circle is 201.088 square units.
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A warje population as a bell shaped distribution with a mean of 200 and a standard deviation of 40 which 1 of the following measurements has AZ score of 2.5?
100
300
280
120
Answer:
300
(second answer choice)
Step-by-step explanation:
Recall that the Z-distribution is defined as :
\(Z=\frac{X-\mu}{\sigma}\)
and therefore, to obtain a Z = 2.5 when the mean value \(\mu\) =200, and the standard deviation \(\sigma\) = 40 , we solve for "X":
\(Z=\frac{X-\mu}{\sigma} \\2.5=\frac{X-200}{40}\\40*2.5 =X-200 \\100 = X-200\\X=300\)
7) Find the approximate sum (24,687 +38,403 +53,628) to the nearest thousand:
The approximate sum of the values to the nearest thousand is 117000
Sum of numbers and rounding upAny number of digits after that number becomes zero and this is known as rounding down. If the digit in the smallest place is greater than or equal to 5, then the digit is added with +1.
Given the expression below;
24,687 +38,403 +53,628 = 116718
Hence the approximate sum of the values to the nearest thousand is 117000
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[\(\sqr\sqrt{x} 5\)
Answer:
the answer is
\( {x}^{ \frac{5}{2} } \)
A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.
A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19
The correct answer is:
a = 43%
b = 88%
To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.
From the Venn diagram, we can gather the following information:
The circle labeled "satellite" has a value of 55.
The circle labeled "cable" has a value of 75.
The overlap between the two circles is labeled as 12.
Using this information, we can complete the table:
First column - "Satellite":
Entries: Satellite, Not satellite, Total
Total: 55 (as given in the Venn diagram)
Second column - "Cable":
Entries: Blank, 51%, Blank
To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).
Cable: 75 - 12 = 63
Therefore, the entry becomes: Blank, 51%, Blank
Third column - "Not Cable":
Entries: a, b, Blank
To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).
a: 55 - 12 = 43
To find the value for "b," we subtract the overlap (12) from the total number of households (100).
b: 100 - 12 = 88
Therefore, the entries become: 43, 88, Blank
Fourth column - "Total":
Entries: Blank, Blank, 100%
The total number of households is given as 100% (as stated in the question).
Therefore, the values of a and b in the relative frequency table are:
a = 43% (rounded to the nearest percent)
b = 88% (rounded to the nearest percent)
Hence, the correct answer is:
a = 43%
b = 88%
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Two samples of fish from a pond were analyzed. The second sample was taken six months after the first sample.
A 3-column table with 4 rows. Column 1 is labeled Year 1 with entries trout, catfish, bass, all fish. Column 2 is labeled Sample 1 with entries 3, 9, 8, 20. Column 3 is labeled Sample 2 with entries 5, 9, 6, 20.
Which are valid inferences? Check all that apply.
The second sample shows the same amount of each type of fish in the pond.
About twice as many trout were in the pond at the time the second sample was taken.
About the same number of bass were found in the two samples.
Fewer bass were in the pond at the time the second sample was taken.
About the same number of catfish were found in both samples.
Based οn the data given in the tabIe οn the trοut, catfish, bass and οthers, we can infer that Trοut increased its predicted average pοpuIatiοn.
What are trοut ?Trοut are species οf freshwater fish beIοnging tο the genera Oncοrhynchus, SaImο and SaIveIinus, aII οf which are οf the subfamiIy SaImοninae οf the famiIy SaImοnidae. The wοrd trοut is aIsο used as part οf the name οf sοme nοn-saImοnid fish such as Cynοsciοn nebuIοsus, the spοtted seatrοut οr speckIed trοut.
Trοut are cIοseIy reIated tο saImοn and char (οr charr): species termed saImοn and char οccur in the same genera as dο fish caIIed trοut (Oncοrhynchus – Pacific saImοn and trοut, SaImο – AtIantic saImοn and variοus trοut, SaIveIinus – char and trοut).
What happened tο the trοut pοpuIatiοn?In the first year, Trοut increased by 2 frοm 3 tο 5 which meant that its predicted average pοpuIatiοn fοr Year 2 wοuId be 7.
In year 2 hοwever, the trοut went tο 8 which shοwed that it had increased its predicted average pοpuIatiοn.
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You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
a tank truck holds 33.8 kl of oil. How many gallons does it hold
Which number is a solution of the inequality: B > 2.1
A: -8
B: -12
C:5
D: 1
Answer:
C. 5 is solution of the inequality: B>2.1
The following table shows the annual profits for two small florist shops what shop had the greater total profit? How much greater was its profit?
Plz answer ASAP I will mark u brainlyest this is my 5th time asking please answer
Answer:
Shop A & $400
Step-by-step explanation:
-4.7 + 27.5 + 122.3 = $145.1 (Shop A)
-0. 2 + 14.5 + 130.4 = $144.7 (Shop B)
Difference = 145.1 - 144.7 = $0.4
0.4 × 1000 = $400
A square on a coordinate plane has one vertex at (0.5,1) and a perimeter of 6 units. If all of the vertices are located in Quadrant I, what are the coordinates of the other 3 vertice s?
The coordinates of the other 3 vertice s are; Vertex 2 = (0.5, 2.5)
Vertex 3 = (2, 1), Vertex 4 =(2, 2.5 )
What is perimeter?Its the sum of length of the sides used to made the given figure.
Given that the Perimeter, P = 6 units
The Perimeter of a square = 4s ; s = side length
6 = 4s
s = 6/4
s = 1.5 units
If Vertex 1 =(0.5,1) and all vertexes are located in Quadrant I
Vertex 2 = (0.5,1 + 1.5) =(0.5, 2.5)
Vertex 3 = (0.5 + 1.5 ,1) = (2, 1)
Vertex 4 = (2, 1 + 1.5) = (2, 2.5 )
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What is the meaning of "cannot always be added or multiplied"?
In addition to being novel, arbitrary matrices with complicated elements are viewed as having potential. It is based on I. Schur's theorem, which states that any complex matrix is valid.
What arbitrary mean in linear algebra?Any number of entries may be present in an arbitrary matrix. [a,b] [c,d] would be a random 2x2 matrix. Where all of the elements of some set (a, b, c, and d) (usually the real numbers.)
The definition of "arbitrary" is "undetermined; not assigned a specific value." As an illustration, the statement x+x=2x is true for any value of xR, whereas the statement x+x=2 is true only for the value x=1.
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a) calculate the reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm. b) is this flow around the sphere turbulent? (yes/no/maybe) c) calculate the reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm.
a) The Reynolds number for a sphere moving in air is 83,333.33.
b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).
c) The Reynolds number for a sphere moving in water is 150,000.
Reynolds Number Sphere Flowa) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:
Re = (density * velocity * diameter) / viscosity
Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.
Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)
Re = 83333.33
b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.
c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:
Re = (density * velocity * diameter) / viscosity
Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².
Re = (1000 * 15 * 0.1) / (0.001)
Re = 150000
Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).
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What is the slope of (-3,9) and (22,-4)
SOLUTION
We are asked the slope of (-3,9) and (22,-4)
Slope is given by the formula
\(m=\frac{y_2-y_1}{x_2-x_1}\)here
\(\begin{gathered} m=\text{slope} \\ y_2=-4,y_1=9,x_2=22,x_1=-3 \end{gathered}\)Our slope becomes
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-4-9}{22-(-3} \\ m=\frac{-13}{25} \\ \\ m=-\frac{13}{25} \end{gathered}\)Therefore, the slope is
\(-\frac{13}{25}\)Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.
No. of players = 29
No. of coaches = 4
Total fabric used for headbands = 773.85 inches
Total no. of people for headbands = 29 + 4
= 33
Fabric used for headband for 1 person = 773.85/33
= 23.45 inches
Total fabric used for wristbands = 279.56 inches
Total no. of people for wristbands = 29
Fabric used for headband for 1 person = 279.56/29
= 9.64 inches
Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.
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Find the surface area
of the figure below:
19 cm
30 cm.
The surface area of the figure is approximately 997.5π cm².
We have,
The figure has two shapes:
Cone and a semicircle
Now,
The surface area of a cone:
= πr (r + l)
where r is the radius of the base and l is the slant height.
Given that
r = 15 cm and l = 19 cm, we can substitute these values into the formula:
= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)
The surface area of a semicircle:
= (πr²) / 2
Given that r = 15 cm, we can substitute this value into the formula:
= (π(15)²) / 2
= 112.5π cm² (rounded to one decimal place)
The surface area of the figure:
To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:
Now,
Total surface area
= 885π + 112.5π
= 997.5π cm² (rounded to one decimal place)
Therefore,
The surface area of the figure is approximately 997.5π cm².
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Dean is the manager of a restaurant and is evaluating whether or not the restaurant has enough parking spaces. At ten different times during the day, he gathered information about the number of customers in the restaurant and the number of cars in the parking lot. He represented the data with the given scatter plot and modeled the data with a linear equation. based on the model approximately how many customers will be in the restaurant when there are 10 cars parked in the restaurants parking lot
When there are 10 cars parked in the restaurant's parking lot, 24 customers will be in the restaurant.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Let x represents the customers and y represents the cars.
From the diagram,
we interpreted two points (0, 2.5) and (100, 35).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
y - 2.5 = (35 - 2.5) / (100 - 0) × (x - 0)
y - 2.5 = (0.325)x
y = (0.325)x + 2.5
The above equation is in the slope intercept form,
y-intercept is 2.5
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = (35 - 2.5) / (100 - 0)
m = 0.325
The equation,
y = (0.325)x + 2.5
Here, we have y = 10 cars.
10 = (0.325)x + 2.5
(0.325)x = 10 - 2.5
x = 7.5 / 0.325
x = 23.08
x = 24 customers.
Therefore, 24 customers are present in the restaurant.
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Answer:
23
Step-by-step explanation:
Plato/Edmentum
PLEASE HELP ITS DUE IN 3 MIN WILL MARK BRAINLEST
Answer:60mm
Step-by-step explanation:
288,000 π = (4/3)πr³
Divide both sides by π
288,000 = (4/3)r³
Multiply both sides by 3/4
216,000 = r³
Take the cube root of both sides
60 = r
Find the equation of the line.
Use exact numbers.
Answer:
Step-by-step explanation:
Given that V=4/3πrcube , make r the subject of formula
Answer:
\(V = \frac{4}{3} \pi {r}^{3} \\ \\ 3V = 4\pi {r}^{3} \\ {r}^{3} = \frac{3V}{4\pi} \\ \\ r = \sqrt[3]{ \frac{3V}{4\pi} } \)
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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d) A shopkeeper bought two radios for Rs 6,000. He sold one of them at a profit of 20℅
and the other at a loss of 10%. If he gained 2% on his total outlay, at what
he buy each radio?
Answer:
2400 and 3600
Step-by-step explanation:
Radio 1 cost = x
Radio 2 cost= 6000- x
x*1.2+(6000-x)*0.9= 6000*1.021.2x-0.9x+5400=61200.3x= 6120-54000.3x= 720x=720/0.3x= 24006000- x= 3600There are ten cards on the table, on which the numbers are written: 1;2;3;4;5;6;7;8;9;10.1) Write down the sample of all possible outcomes of the test.2) Write down a set of event-friendly outcomes if the event is:A - above number 7 ;B - not above number 5 ;C - a divisible by 4;D - is the prime number written.3) Calculate the probabilities of events A, B, C, and D.
Answer:
1. The possible outcomes are {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. These are the possible results if the event is to pick up a random card.
2.
a. The set of favorable outcomes if the event is above number 7 is {8, 9, 10}.
b.The set of favorable outcomes if the event is not above number 5, meaning, less than or equal to 5 is {1, 2, 3, 4, 5}.
c. The set of favorable outcomes if the event is divisible by 4 is {4, 8} only.
d. The set of favorable outcomes if the event is a prime number is {2, 3, 5, 7}.
3.
a. Since there are 3 favorable outcomes out of 10, the probability of the event above number 7 is 3/10 or 0.3 or 30%
b. Since there are 5 favorable outcomes out of 10, the probability of the event not above number 5 is 5/10 or 0.5 or 50%.
c. Since there are 2 favorable outcomes out of 10, the probability of the event divisible by 4 is 2/10 or 0.2 or 20%.
d. Since there are 4 favorable outcomes out of 10, the probability of the event being a prime number is 4/10 or 0.4 or 40%.
If a point Cis inside ZAVB, then m/AVC + mACVB =
The sum of the measure of angles ∠AVC + ∠CVB is C. ∠AVB.
What is an angle bisector?An angle bisector is a line segment that divides an angle into two equal parts.
The angle addition postulate states, if a line segment is in between an angle sum of two smaller angles created by the line segment, is equal to the measure of the larger angle.
The measure of angle AVB is 62°.
The measure of the angle AVC is 39° and the measure of the
angle CVB is 23°.
As the point, C is inside ∠AVB, ∠AVC + ∠CVB = ∠AVB.
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