The ordered pair that represents a function is:
⇒ (-3, 3), (-2, -2), (1, 1), (2, -2)
What are Coordinates?
A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.
The given points are;
(-3, 3), (-3, -3), (-1, 1), (1, 4)
(-3, 3), (-2, -2), (1, 1), (2, -2)
(-3, 3), (-3, -3), (1, -4), (1, 1)
(-4, 4), (-4, 1), (-2, 1), (2, 1)
Now, For an ordered pair to be a function, either of the following must be true:
Each x-value has exactly one corresponding y-value.
More than one x-values have the same corresponding y-values.
And, If any of the following conditions is true, then the ordered pair is not a function,
One x-value has multiple corresponding y-values.
More than one x-values have multiple corresponding y-values.
From the given options, only ordered pair (-3, 3), (-2, -2), (1, 1), (2, -2) satisfies the condition to be a function.
Because none of its x-values have multiple corresponding y-values.
And, Other ordered pairs are either one-to-many or many-to-many.
So, The ordered pair that represents a function is:
⇒ (-3, 3), (-2, -2), (1, 1), (2, -2)
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At a particular fast food restaurant, tacos cost $1.29 and
burritos cost $2.19. Michael spent a total of $42.93 at the
restaurant to buy food for a party. If he purchased half as
many burritos as tacos, how many tacos did he buy?
Answer:
9 burritos and 18 tacos
Step-by-step explanation:
We can start this problem by assigning a variable to our unknowns.
Let's name x the number of burritos he buys.
The question states he buys half as many burritos as tacos.
Therefore, the number of tacos he bought is 2x.
Let's set up an equation.
(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost
2.19x+1.29(2x)=42.93
Simplify
2.19x+2.58x=42.93
4.77x=42.93
x=9
Michael bought 9 burritos.
2*9=18
Michael bought 18 tacos.
Answer:
\( \displaystyle 18\)
Step-by-step explanation:
we are given that,
tacos cost $1.29 burritos cost $2.19Michael spent a total of $42.93he purchased half as many burritos as tacoslet the number of tacos and burritos be t and b respectively
according to the 3rd condition we get:
\( \displaystyle 1.29t + 2.19b = 42.93\)
according to the 4th condition we obtain:
\( \displaystyle t = 2b\)
therefore our system of linear equation is
\(\begin{cases}\displaystyle t=2b \\ \displaystyle 1.29t + 2.19b = 42.93\end{cases}\)
so now we end up with a system of linear equation in order to solve the equation we can consider substitution method
so substitute the value of t which yields:
\( \displaystyle 1.29 \cdot 2b+ 2.19b = 42.93\)
simplify multiplication:
\( \displaystyle 2.58b+ 2.19b = 42.93\)
since we have same variable we can consider the like terms:
\( \displaystyle 4.77b = 42.93\)
divide both sides by 4.77:
\( \displaystyle \frac{4.77b }{4.77}= \frac{ 42.93}{4.77}\)
reduce fraction:
\( \displaystyle \bcancel{ \frac{4.77b }{4.77}}= \cancel \frac{ \stackrel{ \large9}{ 42.93}}{4.77}\)
\( \displaystyle b = 9\)
now substitute the value of b:
\( \displaystyle t = 2.9\)
simplify multiplication:
\( \displaystyle t =18\)
hence,
he bought 18 tacos
Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the
weight. Which expression could be used
to find the shipping cost for a package
of p pounds?
Answer:
the answer would be A
Step-by-step explanation:
The cost seems to start at 3 and increase by each pound times .20 cents. Ex: 1 x .20 =.20 + 3 =3.20
A ship is anchored off a long straight shoreline that runs north and south. From two observation points
miles apart on shore, the bearings of the ship are
and
. What is the distance from the ship to each of the observation points? Round each answer to the nearest tenth of a mile.
The distance from the north most ship to the observation is
miles.
The distance from the south most ship to the observation is
miles.
The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.
From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.
Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:
[asy]
unitsize(1cm);
pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);
draw(O--N--A,Arrow);
draw(O--S--B,Arrow);
\(label("$52^\circ$", N + 0.3*dir(52), NE);\)
\(label("$134^\circ$", S + 0.3*dir(134), SE);\)
draw(O--A--B--cycle,dashed);
\(label("$x$", (N+A)/2, W);\)
\(label("$y$", (S+B)/2, E);\)
[/asy]
We can use the tangent function to find x and y, since we have the angle and opposite side.
From the north observation point, we have:
\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)
From the south observation point, we have:
\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)
Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
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Which measure of spread is best for the data in the table?
City
Population
(thousands)
1
340
2
480
3
385
4
450
5
600
6
325
O A. range
OB. quartile
O C.
O D. interquartile range
mean absolute deviation
Answer:
the answer is C mean absolute deviation
Calvin estimated he would need 8 hours to
complete his science project. It actually took
him 12 1/2 hours to get everything done. What
was his percent error?
Answer:45%
Step-by-step explanation:
find the area of the square rug if its side is (4×+1)feet
Answer:
5x feet
Step-by-step explanation:
it is 5x because you got to take away the x and just add them together then and the x to the soultion you get
Washington, DC is 389 miles from Statesville, NC. If you wanted to drive there,
how long would it take you driving on interstates with an average of 65 mph?
O 5.98 hours
07.07 hours
O 5.56 hours
07.78 hours
O 6.48 hours
Suppose your car gets 29 miles per gallon on the interstate and gas costs
$3.89/gallon. How much will it cost you to drive to Washington, DC?
O $0.29
O $43,883.09
$52.18
O $3.45
O $2,900.00
It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.
Time = Distance / Speed
Time = 389 miles / 65 mph
Time ≈ 5.98 hours
Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.
To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.
Number of gallons = Distance / Mileage
Number of gallons = 389 miles / 29 miles per gallon
Number of gallons ≈ 13.41 gallons
The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.
Cost = Number of gallons * Cost per gallon
Cost ≈ 13.41 gallons * $3.89/gallon
Cost ≈ $52.18
Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
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A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
Need the answer for first picture!
The measure of <MNL is (71 - 3x²)/2.
We have,
Far Arc = 59 - 2x²
Near Arc = 12 - x²
Angle = 180- 2x²
Using the Formula
Angle= Average of vertical chords
180 - 2x² = (59 - 2x² + 12 - x²)/2
360 - 4x² = 71 - 3x²
289 = x²
x= 17
So, the measure of <MNL
= (71 - 3x²)/2
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Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.
Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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Please help needed asap
Answer:
So if she worked for 25 hours and has $1,000 in the bank and she needs $2,000 for the trip . Divide 25 from 1000 and you get 40. Multiple 40 by 2 and you get 80 . So she needs to work 50 hours to get $40 a day so she has 2000 by her trip
Step-by-step explanation:
of 30 students , 1/3 play sports. Of those who play sports, 2/5 play soccer. How many students play soccer?
Answer:
10 ppl play sport. 2/5= 4/10 so 4 ppl play soccer
Step-by-step explanation:
The customer gives you four $20 bills for a video game that totals $67.33.
Answer:
the answer is $12.67
Step-by-step explanation:
Which of the following statements about area is not true?
A. Area is the total space within the outside edges of a two-dimensional object.
B. Area can be found by counting the number of unit squares that fill a space.
C. Area is the total distance around the outside of a shape.
D. Area is used to help describe the dimensions of a shape.
Answer:
C. Area is the total distance around the outside of a shape.
Step-by-step explanation:
Answer:
Area is the total distance around the outside of a shape, Would be correct.
Step-by-step explanation:
please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Proportionality yes or no - show work
X y
____ ____
6 -2
7 -1
8 0
9 1
No, the relationship on the table is not proportional
How to determine if the relationship is proportionalFrom the question, we have the following parameters that can be used in our computation:
x y
____ ____
6 -2
7 -1
8 0
9 1
On the table of values, we can see that:
The values of x increase by 1 i.e. 6, then 7, then 8 and finally 9 As these values of x increase by 1, the values of y increase by 1 also i.e. -2, then -1, then 0 and finally 1Using the above as a guide, we have the following:
The relationship is not a proportional relationship
This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)
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In triangle JKL, if angle J is seven less than angle L and angle K is 21 less than twice angle L, find the measure of each angle
Answer:
j=45 k=83 L=52
Step-by-step explanation:
j=x-7
k=2x-21
L=x
x-7+2x-21+x=180
4x-28=180
4x=208
x=52
The measure of the angles are; J = 48, K = 57 and L = 75
What is linear pair?Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
In order to determine the measure of these angles, we have to set J as x. then find the measure of all of these angles.
J = x
K = x + 9
L = 2x - 21
Now, we can add them all together and set equal to 180;
x + x + 9 + 2x - 21 = 180
4x - 12 = 180
4x = 192
x = 48
Now that we have;
J = x = 48
K = x + 9 = 48 + 9 = 57
L = 2x - 21 = 2(48) - 21 = 96 - 21
L = 75
Hence, The measure of the angles are; J = 48, K = 57 and L = 75
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Jaime is setting up his tent. He is using two nylon ropes to pull the tent taut and stabilize it at each end. If the tent is 6.5 feet tall, and Jaime stakes the ropes into the ground 4 feet from the center of the tent, what is the total length of nylon rope he will use, to the nearest tenth of a foot? Show all of your work by writing out the steps you used to solve the problem or by using the drawing features in the space provided.
The total length of the nylon rope that Jamie will use would be 15.3 feet of nylon rope.
How to find the total length ?Within this scenario specifically, one side of the right-angled triangle comprises the height of the tent (standing at 6.5-feet), and the other forms as the measure from the center of the tent to where Jaime stakes the ropes stretching outwards in another direction (with a calculated measure of 4-feet). Subsequently, we will refer to the extent of the nylon rope as R.
The Pythagorean theorem formula is:
R ² = 6.5 ² + 4 ²
R ² = 42. ²25 + 16
R ² = 58.25
R = 7. 63 ft
There are two ropes so the length would be :
= 7. 63 + 7. 63
= 15. 3 ft
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QUICK HELP PLS!! Tell all steps :) 100 POINTS!!
The two triangles above are similar.
Find x using the ratio of the sides 12 cm and 16 cm:
x
20
=
12
16
. Show your work.
Find x using the ratio of the sides 6 cm and 8 cm. Show your work.
Explain why the answers to (a) and (b) should be the same.
a. Using the ratio of the sides 12 cm and 16 cm
x/20 = 12/16
x = (12(20)) / 16 = 15
b. Using the ratio of the sides 6 cm and 8 cm
x/20 = 6/8
x = (6(20)) / 8 = 15
c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.
Hope this answer will be a good help for you.
The table below shows the number of students who attend various after-school activities.Which does the ratio 17:44 represent?
Answer:
The part-to-part relationship between homework help and sports
Step-by-step explanation:
Assume the table is like the one below.
\(\begin{array}{lcl}\textbf{Activity}& \textbf{Students} \\\text{Spanish} & 19 \\\text{Basketball} & 24 \\\text{Drama} & 15\\\text{Homework help} & 17 \\\text{Soccer} & 20 \\\end{array}\)
17 students participated in homework help.
44 students participated in basketball (24) and soccer (20), i.e. sports
Both sports and homework help are parts of the whole group of all activities.
Thus, 17:44 represents the part-to-part relationship between homework help and sports.
Explanation: Please show table.
Which function has the same range as \(f(x)= - 2\sqrt{x} =-3 + 8\\\)
Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].
To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).
The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.
In other words, the range of f(x) is (-∞, 5].
So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.
Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.
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Find the distance between the two points rounding to the nearest tenth (if necessary),
(2, -8) and (5, -6)
Answer:
Submit Answer
Approximately 3.6.
Hope this helps
Please help by tomorrow
The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.
How to calculate the value?From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:
= 2125 + (49.99 × x)
= 2125 + 49.99x
The equation that can be used to represent the information about Richie company will be:
= (39.95 × x)
= 39.95x
Therefore, we will equate both equations:
2125 + 49.99x = 39.95x
49.99x - 39.95x =2125
10.04x = 2125
x = 212
Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.
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Of the 50 students in mr motchells classes 60% are girls on friday 20% of the girls in the classes wore jeans how mnay girls wore jeans
Answer:it would be 20
Step-by-step explanation:
Answer: 20.
Step-by-step explanation: 60% of 50 is 30 (students). 20% of it would be 20 (students).
Drag and drop the correct classification for each column. If a column has quantitative data, also identify it as
discrete or continuous.
Quantitative
Qualitative
Discrete
Continuous
Patient's Name Age (in years) Height (in cm) Weight (in kg)
Arin Claus
26
170.18
Binny Paver
182.88
Natal Zoom
172.72
23
31
71
95
83
Marital Status
Married
Single
Married
Answer:
-56
Step-by-step explanation:
170.18-26-23+83+-1
how do you find lateral surface area
Answer: This lateral surface area can be calculated by multiplying the perimeter of the base by the height of the prism. For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder: A = 2πrh.
Step-by-step explanation:
V7xV2
Realiza la siguiente multiplicación de raíces cuadradas
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.
V7 * V2 = V(7 * 2) = V14
Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.
This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.
In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
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In ASTU, mZS = (6x – 15)°, mZT = (2x − 2)°, and
mZU = (4x – 7)º. What is the value of x?
Answer:
x = 17
Step-by-step explanation:
all three expressions should be added together and set equal to 180 degrees
6x - 15 + 2x - 2 + 4x - 7 = 180
now combine like terms
12x - 24 = 180
add 24
12x = 204
x = 204/12
x = 17
Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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