Answer:
It does not show variation
Step-by-step explanation:
Given
\(x = y + 2\)
Required
Determine if there's direct variation between x and y
The general form of direct variation is:
\(y = kx\)
Make y the subject of formula in the given parameters;
\(x = y + 2\)
\(y = x - 2\)
Compare \(y = x - 2\) to \(y = kx\)
Since they are not of the same form, then the given equation do not show direct variation
find the Lcm of 3,4 and 5
your answer is in the attachment... hope it helps you!!
Find the lengths of the missing side. Round your answer to the nearest tenth
Answer:
11.2 cm
Step-by-step explanation:
The missing side = the hypotenuse
Apply pythagorean theorem to find he hypotenuse which is given as:
c² = a² + b³
a = 10 cm
b = 5 cm
c = Hypotenuse (missing side)
(Hypotenuse)² = 10² + 5² = 125
Hypotenuse = √125
Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)
What is the distance between (0,3) and (4,6)
Answer: 5 units
Step-by-step explanation:
Evaluate the following expression if a = 9, b = 3, and c = 13
ac ÷ (2b)
Answer:
19.5
Step-by-step explanation:
9 * 13 = 117, 2b = 6, so 117/6 = 19.5
when some population elements are excluded from the process of selecting the sample
Specific individuals in a population are unfairly left out of a study, which is known as exclusion bias. When researchers design a study that inadequately represents specific segments of the community, undercoverage bias emerges.
when a sample is unrepresentative of the population as a whole?When a sample is not chosen that accurately represents the full population of data, a statistical error known as sampling error arises. As a result, the sample's findings do not accurately reflect the outcomes that the complete population would produce.
What is the procedure for choosing a sample from the population called as?When a sample is chosen from a population based on the idea of randomization, this practise is known as probability sampling.
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Solving a word problem on proportions using a unit rate
Dante drove 871 miles in 13 hours.
At the same rate, how long would it take him to drive 603 miles?
Use approximations to 1 significant figure , check that your answer to part A ) makes sense
what is 120 divided by 100?
Answer:
1.2
Step-by-step explanation:
Answer:
1.2
:) yw just use a calculator .
3(12−5)+(8x8)-45? Answer?
Answer:
its 40
Step-by-step explanation:
i think
When you graph a system of equations what are the three possible outcomes?
Answer:
i think its a beaner
Step-by-step explanation:
You purchase a total of 10 books. Some of the books are paperback and some are hardcover.
The number of paperbacks is two less than three times the number of hardcover books. How
many of each did you buy?
Answer
You bought 7 paperbacks and 3 hardcovers.
Step-by-step explanation: This doesn't seem college level! Jokes aside, you solve this with a system of equations. Your first equation is 10 = p + h, where p stands for the number of paperbacks and h stands for the number of hardcovers. Your second equation is p = 3h - 2, meaning that the number of paperbacks is triple the number of hardcovers minus 2. Now, you just have to plug in p = 3h - 2 into your first equation, and you get 10 = (3h - 2) + h. 4h = 12, and h = 3, meaning the number of hardcovers must be 3. All you have to do now is subtract 3 from 10, and you have 7, which is the number of paperbacks!
Out of the total number of 10 books bought, there were 3 hardcovers and 7 paperbacks
Paperbacks are two less than three times the hardcovers. Assume the hardcovers are x, the paperbacks would be represented as:
= 3x - 2
Solving would give:
10 = Paperbacks + Hardcovers
10 = 3x - 2 + x
10 = 4x - 2
4x = 10 + 2
x = 12/4
x = 3 hardcovers
Paperbacks:
= 10 - 3
= 7
In conclusion, there are 3 hardcovers and 7 paperbacks.
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based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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Collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community. Arrange the maximum temperature of the 30 days in ascending order to summarize the data. Determine the mean, mode, median, and range. Use the maximum temperature data and draw for each section a frequency table with appropriate intervals in ANNEXTURE B Display or represent the data from the frequency table on a pie chart in ANNEXTURE B. First, calculate the size of the angles for the pie chart. Example: Intervals between 20-30 are 5. Therefore the proportion of the Segment: 11 [360° = 72° Show all your calculations. 11 Which data collection best describe the maximum and why?
Answer:
I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.
To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:
25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22
The sum of the values is:
25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813
Dividing by the number of values (30), we get:
Mean = 813/30 = 27.1
To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.
To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:
20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34
There are 30 values, so the median is the 15th value, which is 28.
To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:
Range = 34 - 20 = 14
To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:
20-24, 25-29, 30-34
The frequency table would look like this:
Interval | Frequency
20-24 | 4
25-29 | 18
30-34 | 8
To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:
Proportion = Frequency/Total frequency = 18/30 = 0.6
Angle = Proportion * 360° = 0.6 * 360° = 216°
We can repeat this calculation for each interval to obtain the angles for the pie chart.
In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.
solve by using elimination. 12x + 36y = −3
−12x − 36y = 0
The given system of equations has no solution.
Given that a system of equations, 12x + 36y = −3 and −12x − 36y = 0, we need to solve it,
We know for a system of equations =
a₁x + b₁y = c₁ and a₂x + b₂y = c₂
If a₁ / a₂ = b₁ / b₂ = c₁ / c₂ then the system has infinite solutions.
If a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂ then the system has no solutions.
If a₁ / a₂ ≠ b₁ / b₂ then the system has a unique solution.
comparing the coefficients given,
-12/12 = -1
-36/36 = -1
-3/0 = -3
We get here the condition of a₁ / a₂ ≠ b₁ / b₂, which means that the system has no solution.
Hence the given system of equations has no solution.
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there are 49 pong-pong balls in a machine, each bearing a number from 1 to 49. The machine randomly spits out 6 pong-pong balls. If the numbers on the ping-pong balls match the six numbers that you chose, you win.
The probability of winning the game is 1 / 13,983,816 or 0.00000715 or 0.000715%.
Finding probability:To solve the problem we use probability and combinatorics.
To calculate the probability of winning the game, we used the formula for calculating combinations to determine the total number of possible outcomes and then counted the number of favorable outcomes.
Here we have
There are 49 pong-pong balls in a machine, each bearing a number from 1 to 49. The machine randomly spits out 6 pong-pong balls.
The probability of winning the game depends on the total number of possible outcomes and the number of favorable outcomes.
The total number of possible outcomes is the number of ways to choose 6 ping-pong balls out of 49,
This can be calculated using the combination formula:
C(49, 6) = 49! / (6! × (49-6)!) = 49! / (6! × 43!) = 1,39,83,816
Therefore,
There are 13,983,816 possible outcomes when 6 ping-pong balls are randomly selected from 49.
To calculate the number of favorable outcomes,
Count the number of ways to choose 6 ping-pong balls that match the 6 numbers that you chose.
There is only one way to choose all 6 numbers correctly, so the number of favorable outcomes is 1.
Therefore, the probability of winning the game is:
= 1 / 13,983,816 = 0.00000715 or 0.000715%.
Therefore,
The probability of winning the game is 1 / 13,983,816 or 0.00000715 or 0.000715%.
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Please help explanation if possible
Answer:
y = 1x + 1
Step-by-step explanation:
When you're trying to find x, you do rise/over run. That would be 1/1, or just 1. Then you find the y-intercept. That would be 1
Hope this helps!
the center of a semisimple lie algebra {\displaystyle {\mathfrak {g}}}{\mathfrak {g}} is trivial proof. t/f
Answer:
False. The center of a semisimple Lie algebra is usually not trivial.
Step-by-step explanation:
The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.
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What is the equation of a line perpendicular to y = 6x - 5 that passes through the point (6,-3)?
Step-by-step explanation:
The product of slope of 2 straight lines perpandicular each other is -1.
Now, The slope of the original equation is 6. We wish to find the slope m of the perpendicular line. So
\(6m = - 1\)
\(m = - \frac{1}{6} \)
Now substituting the slope m and the point (6, -3) into the perpandicular line to solve for the y intercept.
\(y = mx + c\)
\( - 3 = 6( - \frac{1}{6} ) + c\)
\(c = - 2\)
Therefore, the equation of the perpandicular line is
\(y = - \frac{1}{6} x - 2\)
a tank truck holds 33.8 kl of oil. How many gallons does it hold
During a war, allies sent food and medical kits to help survivors. Each food kit helped 8 people and each medicine kit helped 6 people. Each plane could carry no more than 80,000
food kit weighed 20 pounds and each medicine kit weighed 10 pounds. In addition to the weight constraint on its cargo, each plane could carry a total volume of supplies that did no
cubic feet. Each food kit was 1 cubic foot and each medical kit also had a volume of 1 cubic foot. Assume that those helped by medicine kits were not helped by the food kits and vi
was the maximum number of people that could be helped with one plane of supplies?
Using a system of equations, it is found that the maximum number of people that could be helped with one plane of supplies is: 40,000.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
For this problem, the variables are given as follows, considering the situation described:
Variable x: number of food kits sent.Variable y: number of medicine kits sent.Each food kit helped 8 people and each medicine kit helped 6 people, hence the total number of people helped is given by:
T = 8x + 6y.
This is because we consider that people were helped by only one of them, never both.
Each plane could carry no more than 80,000 pounds. Each food kit weighed 20 pounds and each medicine kit weighed 10 pounds, hence:
20x + 10y = 80000
2x + y = 8000
y = 8000 - 2x.
The maximum volume is of 6000 cubic feet, hence:
x + y = 6000.
y = 6000 - x.
Equaling both equations:
8000 - 2x = 6000 - x
x = 2000.
y = 6000 - x = 4000.
Then the maximum number of people helped is:
T = 8x + 6y = 8 x 2000 + 6 x 4000 = 40,000.
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Jos
car
On Saturday the carinal brought in
$5,400 in ticket sales. This
represented 75% of the total
revenue. How much money did the
carnival bring in on Saturday?
Answer:
$7,200
Step-by-step explanation:
If 5400 is 75% then 5400/3 is 1800 or 25%. Add 5400 and 1800 and you get 7200. (Double-check to make sure I'm correct)
Consider the statements below. Which are not propositions? Mark all that apply.
(a) A delicious chocolate cake.
(b) College students should get more sleep.
(c) 3 + 5 = 8
(d) 5+ 3 = 53
(e) In Idaho, there are 15 temples for the Church of Jesus Christ of Latter-day Saints.
(f) No way!
(g) The great and spacious building.
(h) Will you be my Valentine?
The statements that are listed above that are not propositions include the following:
College students should get more sleep and Will you be my Valentine?. That is option B and H.What is a proposition statement?A proposition statement is defined as the statement that is either a true statement or false statement but can not be both.
From the given statements,the statement that is a true proposition include the following:
A delicious chocolate cake.3 + 5 = 8In Idaho, there are 15 temples for the Church of Jesus Christ of Latter-day Saints.No way!The great and spacious building.The statement that is a false proposition include the following:
5+ 3 = 53The statement will you be my valentine? is not a proposition but a declarative question that needs to be answered.
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Need help with proofs, anyone know how?
Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.
Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;
MS ≅ QSNS ≅ RSMN ≅ QN ∠NMS and ∠NQSΔMNS ≅ ΔQNSRead more on perpendicular bisectors here: brainly.com/question/19154899
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Complete Question:
The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS
We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.
NS and NS
NS and RS
MS and RS
MS and QS
yo mamma so fat not even Dora can explore her
Answer:
your mama so ugly when santa claus came down the chimney and saw her he said oh heck no and went back up
Answer:
>:0000000
Step-by-step explanation:
>:0000000
Wyatt solved the following equation:
x + one over two (6x − 4) = 6
Step Work Justification
1 2x + 6x − 4 = 12
2 8x − 4 = 12
3 8x = 16
4 x = 2
Which of the following has all of the correct justifications Wyatt used to solve this equation?
1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
1. Distributive property 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality
The option that has the correction justifications is the fourth option --- 1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Solving linear equationsFrom the question, we are to determine which of the given options has the correct justifications
To do this, we will solve the equation as well
The given equation is
x + 1/2(6x - 4) = 6
Multiply through by 2
2×x + 2×1/2(6x - 4) = 2×6
2x + (6x - 4) = 12
2x + 6x - 4 = 12
Combine like terms
8x - 4 = 12
Add 4 to both sides of the equation
8x - 4 + 4 = 12 + 4
8x = 16
Divide both sides of the equation by 8
8x/8 = 16/8
x = 2
From above, we can observe that the justifications used are
Multiplication property of equality
Combine like terms
Addition property of equality
Division property of equality
Hence, the option that has the correction justifications is the fourth option --- 1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality
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Answer:
1. Multiplication property of equality
2. Combine like terms
3. Addition property of equality
4. Division property of equality
Step-by-step explanation:
Given equation:
\(x+\dfrac{1}{2} (6x-4) = 6\)
Wyatt's Step Work:
\(\textsf{1.} \quad 2x + 6x-4 = 12\)
\(\textsf{2.} \quad 8x-4 = 12\)
\(\textsf{3.} \quad 8x = 16\)
\(\textsf{4.} \quad x = 2\)
Step 1
Wyatt multiplied both sides of the equation by 2.
Multiplication property of equality: When both sides of an equation are multiplied by the same number, the two sides remain equal.
Step 2
Wyatt added the terms with the variable x.
Combine like terms: When one term is made by adding/subtracting the coefficients and keeping the variables the same.
Step 3
Wyatt added 4 to both sides of the equation.
Addition property of equality: When the same number is added to both sides of an equation, the two sides remain equal.
Step 4
Wyatt divided both sides of the equation by 8.
Division property of equality: When both sides of an equation are divided by the same number, the two sides remain equal.
naina made a 10 layer multi strand ornament for her friend Diana. She used 45 beads for the first layer, 42 beads in the 2nd layer and 39 beads in the third layer. how many total beads did naina use to complete the ornament
Answer:
To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.
Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)
Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:
S = (n/2) x (a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term.
Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:
S = (10/2) x (45 + 18) = 5 x 63 = 315
Therefore, Naina used a total of 315 beads to complete the ornament.
Answer:
The answer to your problem is, 1260
Step-by-step explanation:
Well we know she made 10 “ strand ornaments “ for each layers we would need to add;
45 + 42 + 39
= 126
We would actually then need to multiply it by 10. Shown:
126 × 10
= 1260
Thus the answer to your problem is, 1260
Express the decimal 0.7 as a percentage.
Answer:
70% IS THE ANSWER
Step-by-step explanation:
Hope I helped.
Answer:
70%
Step-by-step explanation
0.7×100=70
calculs astucieux
/ 3 pts
A l'aide de la distributivité et/ou des identités remarquables, effectuer les calculs suivants :
1) 16 × 103
2) 15 x 98
3) 99 × 101
what if 5476 divided by 74? i need the working out too please!
I hope that the attachment helps you..
Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-4,8)
(-6,-2)
(4,5)
The coordinates of the fourth vertex is (1,-8).
Find the coordinates of the fourth vertex?As three of a parallelogram's vertices, we were given:
(3,-2), (-1,-4), (5,-6). (5,-6).
We see that (3,-2) and (-1,-4) form a diagonal after charting the points as in the attachment.
The midpoint formula determines what point on this diagonal is in the middle.
Keep in mind that both diagonals' midpoints are identical.
Specify the coordinates of the fourth point (x,y).
As a result of once more applying the midpoint formula to (3, -2), we get:
x=1 and y=-8
The fourth point's locational details are as follows:
(1,-8).
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The complete question is,
A good can be produced for a total cost of 600 or 850 when making 100 units and 150 units, respectively. Discover an equation for TC in terms of Q, the number of generated units, presuming that the total cost function is linear.