A local store is keeping track of service times. the table below shows the number of customers served and the time it took.
Answers
It does not always take the same time to serve every customer. Option A is correct.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
From the table,
For every order, the pair compare the unit rate of serving the customer.
1
unit rate = 2 / 8
unit rate = 1 / 4
unit rate = it took 4 minutes to serve a customer.
2.
unit rate = 4 / 16
unit rate = 1 / 4
unit rate = it took 4 minutes to serve a customer.
3
unit rate = 7 / 21
unit rate = 1 / 3
unit rate = it took 3 minutes to serve a customer.
Thus, It does not always take the same time to serve every customer. Option A is correct.
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Related Questions
Ruby’s model for a Fourth of July party hat is shown. The model is composed of a rectangle and 2 right triangles. What is the area of Ruby’s model for a Fourth of July party hat?
Answers
Total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.
What is Area of Rectangle?The area of Rectangle is length times of width.
Let us find the area of the red colour right triangle.
Area of red triangle=1/2×13.5×9
=60.75 square cm.
Area of blue triangle=1/2×8×9
=36 square cm.
Area of rectangle=Length×breadth
=(13.5+8)4
=21.5×4
=86 square cm.
The total area of Ruby’s model for a Fourth of July party hat is
60.75+36+86
182.75 square centimeter.
Hence, total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.
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How many solutions does the system of linear equations represented in the graph have?
Coordinate plane with one line that passes through the points 0 comma 3 and 3 comma 4 and another line that passes through the points 0 comma negative 2 and 3 comma negative 1.
One solution at (−2, 0)
One solution at (0, −2)
No solution
Infinitely many solutions
Answers
Answer:
No solutions
Step-by-step explanation:
Sorry to say, there are no solutions to this system of linear equations. A quick look at the attached graph will illustrate this conclusion. The two lines that go through the given points are parallel. They both have a slope of (1/3), with y-intercepts of 4 and -2.
Calculate the slopes of both lines:
Line A:
Point 1 (0,3)
Point 2 (3,4)
Rise = 4-3 = 1
Run = 3-0 = 3
Slope = Rise/Run = (1/3)
Line B:
Point 1 (0,-2)
Point 2 (3,-1)
Rise = -1-(-2) = 1
Run = 3-0 = 3
Slope = Rise/Run = (1/3)
Since the lines have the same slope, no more work is needed. They are parallel and will not intersect. Therefore, there are no solutions.
=====
If interested:
The y-intercept for each line can be found by using one of the points for each line in the equation y = mx + b, where m is the slope of (1/3) and b is the y-intercept.
Line 1: y = (1/3)x + b
3 = (1/3)*(0) + b for (0,3)
b = 3
Both lines have a slope of (1/3). They are parallel and will never meet, even though they have a lot in common.
Line 2: y = (1/3)x + b
-2 = (1/3)*(0) + b for (0,-2)
b = -2
Answer:
No solutions
Step-by-step explanation:
I got it right on the test
PLS HELP AND SHOW WORK
the humane society receives $45 for each dog that is adopted. if they spent $920 on supplies, how much profit will they make if they have 24 dogs for adoption? Write a linear equation and solve.
Answers
Answer: 160
Step-by-step explanation:45 x 24 = 1080
1080 -920 = 160
Answer:24 x 45 = 1080
Step-by-step explanation:
At the lat baketball game the away team lot with a total 93 point The ball went through the baket for the away team a total of 42 time Strangely there wa no ucceful free throw hot How many hot of each did they make
Answers
The number of successful 3-point shots must be 51.
Basketball Score BreakdownIf the away team scored a total of 93 points and made 42 successful field goals, then the remaining points must have come from successful 3-point shots.
Since there were no successful free throw shots, the number of successful 3-point shots must be 93 - 42 = 51.
The information provided is about a basketball game where the away team lost and scored a total of 93 points. The team made 42 successful field goals, but there were no successful free throw shots. Based on this information, the remaining points were determined to have come from successful 3-point shots, which numbered 51.
The information is specific to this basketball game and the scoring system used in this game. Different basketball games may have different scoring systems and rules, so the information may not be applicable to other basketball games.
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3¼% of $500 is? ........
Answers
Answer:
3¼% of $500 is $16.25.
Step-by-step explanation:
An object is launched at 24. 5 meters per second from a platform that is 68. 6 meters tall. The equation for the object's height in meters, h, at seconds after the launch is -4. 9 + 2 + 24. 5t + 68. 6
•To find the number of seconds it will take the object to hit the ground after it is thrown, h must be set equal to 0: True or False?
•If h is set equal to 0, then t = 0 is a solution to the equation: True or False?
•The object will hit the ground at t=7 seconds: True or False?
Answers
To find the time it takes for the object to hit the ground, h must be set equal to 0.
• To find the number of seconds it will take the object to hit the ground after it is thrown, h must be set equal to 0: True
• If h is set equal to 0, then t = 0 is a solution to the equation: False
• The object will hit the ground at t=7 seconds: False
To find the number of seconds it will take the object to hit the ground, we must determine when its height is 0, since this is when it hits the ground. To do this, we set h equal to 0 and solve for t. So, setting h equal to 0 is the correct step in finding the time it takes for the object to hit the ground.
However, t = 0 is not a solution to the equation when h is set equal to 0. The equation for the object's height, h, at time t is -4.9t^2 + 24.5t + 68.6, which is a parabolic function. The value of t = 0 represents the time when the object is first launched from the platform, and the height of the object at that time is 68.6 meters. So, t = 0 is not a solution to the equation when h is set equal to 0, because at that time the height of the object is not 0.
The value of t = 7 is not the time when the object hits the ground. To find the time when the object hits the ground, we must set h equal to 0 and solve for t. This is a quadratic equation, and we can use the quadratic formula to find the two solutions. One of these solutions will represent the time when the object hits the ground, while the other will represent the time when the object reaches its maximum height.
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When h is set to 0, however, t = 0 does not represent an answer to the problem. The height of the item, h, at time t is given by the equation -4.9t2 + 24.5t + 68.6, which represents a parabolic function. The moment at which the object is first launched from the platform is represented by the value of t = 0, and the object's height at that point is 68.6 meters. Therefore, when h is set to 0, t = 0 is not a solution to the equation because the object's height is not 0 at that moment.
The moment the object strikes the ground is not at time t = 7. We must put h equal to in order to determine the moment the object touches the ground.
Please fill in blanks:
If the standard deviation of cholesterol changes is 5 cholesterol points, construct a 95% confidence interval (using a z-score of 2). The lower bound of the confidence interval is ____ and the upper bound is ____ Notice that the confidence interval includes zero, which means that we cannot be certain that the drug has an effect. In other words, our sample mean of 8 is not statistically significant.
Answers
The confidence interval has a lower bound of 6.04 and an upper bound of 9.96.
What is confidence interval?A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally employed. The confidence interval is the range of values within which you expect your estimate to fall a given proportion of the time if you repeat your experiment or re-sample the population in the same manner. A 95% confidence interval is a range of values above and below the point estimate where the real value in the population is 95% likely to reside.
Here,
For a two-tailed 95% confidence interval, the alpha value is 0.025, and the corresponding critical value is 1.96. This means that to calculate the upper and lower bounds of the confidence interval, we can take the mean ±1.96 standard deviations from the mean.
sample mean=8
upper and lower bounds of the confidence interval,
=mean ±1.96
=[8-1.96,8+1.96]
=[6.04,9.96]
The lower bound of the confidence interval is 6.04 and the upper bound is 9.96.
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which trig function is used to find the angle if the length of the hypotenuse and of the adjacent side are know
Answers
The cosine functions are used to find the angle if the length of the hypotenuse and the length of the adjacent side is known.
The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and is given the symbol cos.
The cosine function in a triangle is the ratio of the adjacent side to that of the hypotenuse.
The general formula for cosine is:
cos α = Adjacent Side/Hypotenuse
Cosine has a few properties, which are periodic and even.
It is the ratio of the length of the side that is ADJACENT the angle to the length of the longest side, or HYPOTENUSE, of the triangle.
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
Answer: the answer is 189
Step-by-step explanation:
the mean number of cars sold by each salesman at kovak motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). ben polamalu only sold 6 cars last month. which statement is true?
Answers
The mean number of cars sold by each salesman at Kovak Motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). Ben Polamalu only sold 6 cars last month. The statement which true is B) Ben's sales were not unusual last month.
ABOUT MEAN IN MATHThe mean is one of the important formulas in mathematics. Another term for the mean is the average. The mean is a calculation that is studied further in statistics.
Calculating the mean is a basic math skill. The mean is a calculation that can be calculated using a simple formula. Usually, the mean is a formula that is used in conjunction with other statistical formulas such as the mode and median.
In everyday life, the mean is a calculation that is often used. An example of using the mean is to find out the average income of employees in an office.
Your question is incomplete but most probably your full question was:
The mean number of cars sold by each salesman at Kovak Motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). Ben Polamalu only sold 6 cars last month. which statement is true?
A) Ben's sales were unusual last month.
B) Ben's sales were not unusual last month.
C) Ben's sales were not unusual this month.
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Alex, Bob, Clay, Daisy and Elly are eating a big cake.
After eating, there was one slice left, and they decided to leave it for Fredy but someone ate it!
Fredy knows that these 5
people are each telling one truth and one lie:
Alex says, "It wasn't Elly. It was Bob."
Bob says, "It wasn't Clay. It wasn't Elly."
Clay says, "It was Elly. It wasn't Alex."
Daisy says, "It was Clay. It was Bob."
Elly says, "It was Daisy. It wasn't Alex."
Who ate the last slice of cake?
Answers
The person who ate the last slice of cake is Daisy.
Who ate the last slice of cake?We have to know that the question that we have been asked here borders on the ability of the individual to be able to apply his or her reasoning so as to analyze the statement that have been made.
The person that is to be suspected is the one that is blaming everyone else as in this case can see is what Daisy is saying. We would pick up from there and then suspect a foul play and that is how we can know who ate the cake.
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What base can you rewrite both 8 and 16 as using exponents?
Answers
2 can be used as the base for 8 and 16 to write in exponent form.
What is Number system?A number system is defined as a system of writing to express numbers.
We have to rewrite both 8 and 16 with same base as using exponents.
8 can be written 2×2×2
8 as 2³
16 can be written as 2×2×2×2
16 as 2⁴
Hence, 2 can be used as the base for 8 and 16 to write in exponent form.
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Jack measured a line to be 17.2 inches long. If the actual length of the line is 16.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
The percent error of Jack's measurement was 3.6%, to the nearest tenth of a percent. This is calculated by subtracting the actual length (16.6 inches) from the measured length (17.2 inches) and dividing by the actual length, then multiplying by 100.
Step-by-step explanation:
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After a minor collision, a driver must take his car to one of two body shops in the area. Consider the following events. D=driver takes his car to shop D. L = driver takes his car to shop L. T= the work is complete on time. B= the cost is less than or equal to the estimate (under budget). a. Complete the tree diagram by filling in the missing path probabilities. b. What is the probability that the car is repaired under budget, on time, and with company D? c. What is the probability that the cost of the repair exceeds the estimate? d. What is the probability that the car is repaired under budget, given that it is ready on time? B 0.455 T + 0.226 B' D B 0.378 0.634 T' B' B 0.895 т. L B B 0.844 0.995 T' B'
Answers
(a) The tree diagram by filling in the missing path probabilities by subtracting the given value by 1 is given below.
(b) The probability that the car is repaired under budget, on time, and with company D is 0.00652.
(c) The probability that the cost of the repair exceeds the estimate is 0.3909.
(d) The probability that the car is repaired under budget, given that it is ready on time is 0.5804.
D = driver takes his car to shop D.
L = driver takes his car to shop L.
T= the work is complete on time.
B= the cost is less than or equal to the estimate (under budget).
(a) We have to complete the tree diagram by filling in the missing path probabilities.
The complete tree diagram is given below:
We used to complete the tree
1 - 0.634 = 0.366
1 - 0.226 = 0.774
1 - 0.844 = 0.156
(b) We have to determine the probability that the car is repaired under budget, on time, and with company D.
P(DTB) = 0.634 × 0.226 × 0.455
P(DTB) = 0.00652
(c) We have to determine the probability that the cost of the repair exceeds the estimate.
P(B') = P(DTB') + P(DT'B') + P(LTB') + P(LT'B')
P(B') = 0.634 × 0.226 × 0.545 + 0.634 × 0.774 × 0.622 + 0.366 × 0.156 × 0.105 + 0.366 × 0.844 × 0.005
P(B') = 0.390855
P(B') = 0.3909
(d) We have to determine the probability that the car is repaired under budget, given that it is ready on time.
P(B|T) = P(BT)/P(T)
P(B|T) = (0.634 × 0.226 × 0.455 + 0.366 × 0.156 × 0.895)/(0.634 × 0.226 + 0.366 × 0.156)
P(B|T) = 0.580373
P(B|T) = 0.5804
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What would be the reason for statement three
Answers
Answer:
For # 3
Step-by-step explanation:
BOTH of the angles at K are equal , thus you have the Side-Angle-Side theorem of congruency, often abbreviated S A S
PLEASE PLEASE HELP ANSWER THE QUESTIONS
Answers
Answer:
Step 1: m<KHG + m<GHJ=180 degrees
Step 2: x=13
Step-by-step explanation:
This pair of angles is called vertical angles. In a vertical angle situation, opposite angles are equal to each other. An opposite angle and an adjacent angle are ALWAYS equal to 180 degrees.
To start off...
Make both parts of the equation equal to 180 degrees
5x+38+7x-14=180
Combine like terms and add the regular numbers together
5x+7x and 38 + -14
12x+24=180
Subtract 24 from each side of the equation
12x=156
Divide 12 from each side.
x=13
Alfred borrowed $10,400 at a fixed annual interest rate of 3%. The amount he owes, A, can
Answers
The required amount Alfred owes is given as $10712 for a year.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Let the amount owes be x,
According to the question,
x = 10400 + 3% of 10400
x = 10400 + 312
x = 10712
Thus, the required amount Alfred owes is given as $10712 for a year.
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According to vsepr theory, if there are five electron domains in the valence shell of an atom, they will be arranged in a(n) __________ geometry.
Answers
According to VSEPR (Valence Shell Electron Pair Repulsion) theory, the electron domains around an atom will arrange themselves in a trigonal bipyramidal geometry based on the number of domains in the valence shell.
If there are five electron domains in the valence shell, they will be arranged in a trigonal bipyramidal geometry. In this geometry, the five domains occupy the positions of three axial domains (120 degrees apart) and two equatorial domains (90 degrees apart). This arrangement minimizes the repulsion between the electron domains, leading to a more stable molecule.
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Assume you have a future liability of $12000 per year for 4 years beginning 7 years from today. You will fund this liability over the next 5 years, with the first deposit to occur 1 year from today. If you earn an interest rate of 8% per year, compounded annually, on deposits, how much will you have to deposit at the end of each of the next 5 years to fund this liability?
Answers
$6273.04 have to deposit at the end of each of the next 5 years to fund this liability
PV of Annuity = P*[1-{[tex]{1+i}^{n}[/tex]}]/i
Where, P = Annuity = 12000, i = Interest Rate = 0.08, n = Number of Periods = 4
PV at 6 years from today = 12000*[1-{(1+0.08)^-4}]/0.08 = 12000*0.26497/0.08 = $39745.52
PV at 5 years from today = PV at 6 years from today/[1+Interest Rate] = 39745.52/[1+0.08] = $36801.41
FV of Annuity = P*[{[tex]1+i^{n}[/tex]}-1]/i
Where, FV = 36801.41, i = Interest Rate = 0.08, n = Number of Periods = 5
Therefore,
36801.41 = P*[{(1+0.08)^5}-1]/0.08
2944.1127 = P*0.469328
Therefore, Amount to be deposited =
P = 2944.1127/0.469328 = $6273.04
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Haruka hiked everal kilometer in the morning. She hiked only
6 kilometer in the afternoon, which wa
25% percent le than he had hiked in the morning. How many kilometer did Haruka hike in all?
Answers
Haruka hiked about 14 kilometres in total.
According to the question
We don't know precisely how many kilometres Haruka travelled in the morning, but she hiked several kilometres in the morning and six kilometres in the afternoon. We may utilise the information provided—that her afternoon hike was 25% shorter than her morning trip—to solve the problem.
The unknown quantity (the number of kilometres hiked in the morning) may be represented as X in algebra. We may express the equation as follows if Haruka travelled 6 kilometres in the afternoon, which was 25% less than her morning hike:
6 = X - 0.25X
This equation can be simplified to:
6 = 0.75X
And finally, by solving for X, we get:
X = 8
In the morning, Haruka walked 8 kilometres. The distance travelled in the morning and afternoon are simply added together to provide the total number of kilometres hiked:
8 + 6 = 14 kilometers
Thus, during the course of the two excursions, Haruka covered a distance of 14 kilometres.
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Haruka hiked about 14 kilometres in total.
According to the question
We don't know precisely how many kilometres Haruka travelled in the morning, but she hiked several kilometres in the morning and six kilometres in the afternoon. We may utilise the information provided—that her afternoon hike was 25% shorter than her morning trip—to solve the problem.
The unknown quantity (the number of kilometres hiked in the morning) may be represented as X in algebra. We may express the equation as follows if Haruka travelled 6 kilometres in the afternoon, which was 25% less than her morning hike:
6 = X - 0.25X
This equation can be simplified to:
6 = 0.75X
And finally, by solving for X, we get:
X = 8
In the morning, Haruka walked 8 kilometres. The distance travelled in the morning and afternoon are simply added together to provide the total number of kilometres hiked:
8 + 6 = 14 kilometers
Thus, during the course of the two excursions, Haruka covered a distance of 14 kilometres.
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Select an ordered pair that is a solution to the equation represented by the graph.
(-4,0)
(-2, -4)
(-2,0)
(0, -4)
Answers
An ordered pair that is a solution to the equation represented by the graph include the following: A. (-4, 0).
What is an ordered pair?In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.
How to find an ordered pair that is a solution to the equation?In order to determine the ordered pairs that represent points on the graph of any given function, we would read all the ordered pairs that lie on its line, with respect to the x-coordinate (abscissa) and the y-coordinate (ordinate).
By critically observing the graph of the given function, the required solutions are include following;
Ordered pair = (-4, 0).
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find the equation of the line that id perpendicular to -2x-9y=1 and passes through the point (-7,-5)
Answers
Answer:
y = (9/2)x + 26.5
Step-by-step explanation:
Lets rewrote the equation in standard format of y = mx + b, where m is the slope and b is the y-intercept.
-2x-9y = 1
-9y = 2x + 1
y = -(2/9)x - (1/9)
The slope of this line is -(2/9)
A line that is perpendicular to this line will have a slope that is the negative inverse of -(2/9). That would be (9/2). So a perpendicular line will have the form of y = (9/2)x + b. Any value of b can be chosen and the lines will still be perpendicular to each other. However, we want to find a value of b that will force the line through point (-7,-5). This is done by using the point in the above equation and solving for b:
y = (9/2)x + b
-5 = (9/2)(-7) + b for point (-7,-5)
-5 = -(63/2) + b
b = -5 + (63/2)
b = -5 + 31.5
b = 26.5
The equation is y = (9/2)x + 26.5
See the attached graph.
How does counting cubes compare to multiplying dimensions when finding the volume of a rectangular prism?
Select from the drop-down menus to correctly complete the statements.
Amelie correctly determined the volume of this prism by counting unit cubes. She counted
Choose...
unit cubes.
Eloise correctly determined the volume of this prism by multiplying the three dimensions. She got a product of
Choose...
cubic units.
Amelie and Eloise correctly concluded that counting unit cubes gives
Choose...
result as multiplying the dimensions.
Answers
Eloise correctly determined the volume of this prism by multiplying the three dimensions, She got a product of (3×8×4) unit³.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
The given figure is a cuboid made up of unit cubes.
We know the volume of a cuboid is (length×width×height).
By observing the figure we have 3 unit cubes of width, 8 unit cubes of length, and 4 unit cubes of height.
Therefore, The volume of the cuboid is,
= (3×8×4) unit³.
= 96 unit³.
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Refer to the T-account below:Manufacturing Overhead(2)4,000(9)150,000(3)15,000(4)80,000(5)30,000(6)25,000154,000150,000Bal.4,000Entry (4) could represent which of the following except?A) Indirect labor cost incurred.B) Factory insurance cost.C) Overhead cost applied to Work in Process.D) Depreciation on factory equipment.
Answers
Cost of goods manufactured= $905,000 Overhead cost applied to Work in Process and hence option c is correct
To calculate the cost of goods manufactured, we need to use the following formula:
cost of goods manufactured= beginning WIP + direct materials + direct labor + allocated manufacturing overhead - Ending WIP
Schedule cost of goods manufactured:
Beginning WIP= 40,000
Direct materials used= 20,000 + 400,000 - 30,000= 390,000
Direct labor= 60,000
Allocated manufacturing overhead= 485,000
Ending WIP= (70,000)
Cost of goods manufactured= $905,000
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On a cold winter day in
Poston, MA the
temperature
fell 27 degrees over the
course of 9 hours. Pased on
this change in temperature,
how many degrees did the
temperature fall each hour?
Answers
Answer:
3 Degrees each hour
Step-by-step explanation:
27 divided by 9 = 3
How many solutions does the system of equations below have? 9x 6y=-2 - 18x12y = -4
Answers
The system is dependent and has infinitely many solutions.
What is the system of equations?
A system of linear equations is a set of two or more equations that includes common variables. To solve a system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
The system of equations below can be written as:
9x + 6y = -2
-18x - 12y = -4
To find the number of solutions, we need to determine if the system has a unique solution, no solution, or infinitely many solutions.
To do this, we can use the concept of compatibility. If the system is compatible, meaning that there exists a set of values for x and y that satisfy both equations, then the system has at least one solution.
If the system is inconsistent, meaning that there is no set of values for x and y that satisfies both equations, then the system has no solution.
If the system is dependent, meaning that the two equations represent the same line in the plane, then the system has infinitely many solutions.
In this case, we can see that both equations represent the same line in the plane.
Therefore, the system is dependent and has infinitely many solutions.
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Activity 2: Planting Trees
The best time to plant trees was 20 years ago
The second best time is NOW
Data from the lumber industry shows that the
older the tree (a), the greater the number of board feet
(n) that can be created from the tree. For a tree that is
160 years old, 18,200 board feet can be used
a) Write an equation in slope-intercept form to represent this situation
b) What does the independent variable represent?
c) What does the dependent variable represent?
d) How much board feet can be used from a tree that is 100 years old?
e) If 6,825 board feet was used from a tree, how old was the tree?
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Answers
a) The equation in slope-intercept form is y = 112.5x - 11,875, where x is the age of the tree in years and y is the number of board feet that can be created from the tree.
b) The independent variable represents the age of the tree in years.
c) The dependent variable represents the number of board feet that can be created from the tree.
d) For a tree that is 100 years old, the number of board feet that can be used is 11,875.
e) To find how old the tree is, we need to solve the equation for x.
First, subtract 6,825 from both sides of the equation to get y = 112.5x - 11,875 - 6,825.
Next, add 11,875 to both sides of the equation to get y + 11,875 = 112.5x.
Finally, divide both sides of the equation by 112.5 to get x = (y + 11,875) / 112.5.
Thus, the age of the tree is x = (6,825 + 11,875) / 112.5 = 100 years old.
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Answers
The Surface area are shown below.
What is Surface Area?The total area of an object's external facing surfaces is its surface area. The base, top, and lateral surfaces (sides) of the object's surface are added together to get the object's overall surface area.
1. The measure of sides are
A = 3
B = 15
C= 17
D= 8
So, the Lateral Surface Area
= ( 15+17+8) x 3
= 117 mm²
and, the total surface Area
= Area of two triangles + Area of rectangle
= 2 x 1/2 x 8 x 15 + 117
= 120 + 117
= 237 mm²
2. The measure of sides are
A = 5
B = 2
C= 9
D= 2
So, the Lateral Surface Area
= 2 x (5 x 9) + 2 (2 x 5)
= 110 m²
and, the total surface Area
= 110 + 2 (2 x 9)
= 146 m²
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Answers
Answer:
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What exactly is the relationship between the concepts of conjugate complex vector space and conjugations/real structures?
Answers
Conjugations and real structures are important tools used to study complex vector spaces.
A vector is a mathematical object with magnitude and direction. A complex vector space is a vector space where the vectors have complex numbers as components.
Conjugation is a mathematical operation that involves changing the sign of the imaginary part of a complex number.
Real structures refer to certain mathematical objects or operations that preserve the real part of a complex number.
The relationship between the concepts of conjugate complex vector space and conjugations/real structures is that they are both used to study complex vector spaces.
A conjugate complex vector space is a complex vector space equipped with a conjugation, which is an antilinear and involatile map.
The conjugation on a complex vector space allows us to distinguish between real and imaginary parts of a vector.
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