The correct statement regarding the proportional relationships is given as follows:
B. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of 1/10, compared to 1/12 for Andrew.
How to obtain who run faster?
To obtain the person who runs faster, we need to look at their rates, as the time and the distance form a proportional relationship.
Andrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes, hence his rate is given as follows:
k = 1.5/18 = 2/24 = 1/12 = 12 minutes per mile.
Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes, hence her rate is given as follows:
k = 3/30 = 4/40 = 1/10 = 10 minutes per mile.
Due to the lower number of minutes per mile, Karleigh ran faster, and the correct option is given by option B.
Missing InformationAndrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes.
Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes.
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What are the documents needed for SSS sickness benefit?
The documents needed for SSS loan sickness benefit are as follows :
Sickness Benefit Application (SBA) FormAny legitimate primary ID card or document, such as an SS ID or UMID, as follows:- Driver’s License
- Passport
- Voter’s ID Card
- National Bureau of Investigation (NBI) Clearance
- Postal Identity Card
- Any other government-issued (secondary) ID cards/documents
supporting medical records, if any, for extended illness or incarceration :- Laboratory, X-ray, ECG, and other diagnostic results
- Operating room/clinical record that will support the diagnosis
For illnesses or injuries that occurred abroad, the issuing nation's official documentation must include an English translation and be properly authenticated by the Philippine Embassy or Consulate Office or properly certified by a notary public of the receiving nation.
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What is the median of 23?
The Median of 23 will be 23.
How to calculate the Median?
A data set's median value is the point where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it. In a list of odd numbers, one would select the middle number with an equal number of numbers on either side of it to determine the median value. The numbers should be arranged in order, typically from lowest to highest, before calculating the median.
The middle pair must be identified, added, then divided by two in order to calculate the median value in a list of even integers. Once more, group the figures from lowest to highest.
The median will be the average of the two middle numbers, in our questions 23 and 23, the mean of which is 23 because there are an even number of values.
So the final answer will be 23.
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How do you graph inequalities on a calculator?
Linear equations are one-degree equations. It is a straight-line equation. A linear equation with parameters a and b equal to zero has the conventional form ax + by + c = 0.
What is a linear inequality?The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
It's a line with a shaded side on one side to show which xy pairings are the inequality's solutions.
Following steps to graph inequalities on a calculator:
1) Press the [Y=].
2) Press [3] [X,T,θ,n] [+] [2] on Y1.
3) Press [◄] six times until the symbol to the left of Y1 is flashing.
4) Press [ENTER] [▼] to select the Line area.
5) Press [►] repeatedly until a triangle pointing to the lower part is displayed.
6) Press [▼] [ENTER].
7) This will change the graph style to shade below the function (this style was chosen because the solution set consists of all real numbers below the line of the y= equation).
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What is the solution of the system of equations?
y = -x + 4
y=-x+1
1
2
-2 0
2
y
2
Answer:
no solutions
Step-by-step explanation:
y = -x + 4
y=-x+1
-x+1 = -x+4 ==> since y=-x+1 and y=-x+4, -x+1=-x+4
-x+1-1 = -x+4-1 ==> isolate x on one side by subtracting 1 on both sides
-x = -x+3
-(-x) = -(-x+3)
x = x - 3 ==> this isn't equal since a number won't have the same value if
you take away 3 from it.
Hence, there are no solutions.
Answer:
There is no solution
Step-by-step explanation:
y = -x + 4
y=-x+1
If we solve
-x + 4 = -x +1
Add x to both sides and it will be 0
So, there is no solution!
How many terms are there in the following expression 7x² 5x 5 *?
There are three terms in the following expression 7x² 5x 5 This means that for every x in the expression, 5 will be multiplied by it
The coefficient of x in the expression 5x³ 7x² is 5. This means that for every x in the expression, 5 will be multiplied by it. To calculate the coefficient of x, we need to first expand the expression. The expanded form of the expression 5x³ 7x² is 5x³ + 7x². Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5. This can be understood by considering the following example:
Let's say we have the expression 5x³ 7x² = 5x³ + 7x².
Here, 5 is multiplied by x three times and seven is multiplied by x twice. This means that the coefficient of x is 5. This can be written as 5x³ + 7x² = 5x³ + 7x x 1 = 5x(x² + x). Hence, the coefficient of x in the expression 5x³ 7x² is 5.The coefficient of x in the expression 5x³ 7x² can be calculated using the following steps:
Expand the expression 5x³ 7x².
The expanded form of the expression is 5x³ + 7x².
Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5.
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What is (3x^3 −2x^2 +6x−1) subtracted from the sum
of (2x^3 −3x+2) and (5x^2 +4x−6)?
Answer:
the result of subtracting (3x^3 −2x^2 +6x−1) from the sum of (2x^3 −3x+2) and (5x^2 +4x−6) is −x^3 +3x^2 +7x−5.
Step-by-step explanation:
To find the result of subtracting (3x^3 −2x^2 +6x−1) from the sum of (2x^3 −3x+2) and (5x^2 +4x−6), we can first add the two given expressions to find the sum, and then subtract the third expression from that sum.
The sum of (2x^3 −3x+2) and (5x^2 +4x−6) is:
(2x^3 −3x+2) + (5x^2 +4x−6) = 2x^3 +5x^2 −3x+4x −6 = 2x^3 +5x^2 +x−6
Subtracting (3x^3 −2x^2 +6x−1) from this sum gives us:
(2x^3 +5x^2 +x−6) − (3x^3 −2x^2 +6x−1) = (2x^3 −3x^3) + (5x^2 −2x^2) + (x+6x) − (−1−6) = −x^3 +3x^2 +7x−5
Therefore, the result of subtracting (3x^3 −2x^2 +6x−1) from the sum of (2x^3 −3x+2) and (5x^2 +4x−6) is −x^3 +3x^2 +7x−5.
What else is needed to prove these triangles congruent using the HL theorem?
Answer:
C. BA ≅ DA
Step-by-step explanation:
⭐ What is the HL theorem?
The HL theorem is a triangle congruence statement used to say that 2 right triangles are congruent.For 2 right triangles to be considered by the HL theorem, they must have congruent hypotenuses and congruent corresponding legs✔️In this problem, it is already established that ΔABC and ΔADC are right triangles because they have a right angle.
✔️ΔABC and ΔADC have congruent hypotenuses because they both share hypotenuse AC, and by the reflexive property of congruence, AC ≅ AC
❌There is no indication that their corresponding legs are congruent, and that is what we need for the HL theorem.
The only answer option that mentions their corresponding legs being congruent is option C.
How do you solve for Y problems?
By analyzing and applying correct method we can solve for any given Y problem.
Define analysis.Analysis is the process of carefully examining something difficult in order to comprehend it or identify its key characteristics.
Define interpretation.Explaining, rephrasing, or otherwise demonstrating your own understanding of something is the act of interpretation. An interpreter is a person who interprets from one language into another for the purpose of explaining what is being said to a non-native speaker.
Let any problem is represented as Y. We can solve Y problem by analyzing the situation that is presented in the problem and by applying right method or formula to get required solution of given problem.
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What is mean method formula?
The mean formula in statistics for a set is defined as the sum of the observations divided by the total number of observations.
One of the most significant and often employed metrics of central tendency is the mean. In mathematics, there are various different kinds of means. In statistics, the mean is the product of all the values in a set of data divided by the total number of values in the data for a particular set of observations.
To put it another way, calculating the mean of a data set only requires adding up all the values and dividing the result by the total number of values.
However, depending on whether grouped or ungrouped data is provided, the basic approach and formulae change. Ungrouped data is a collection of random observations, whereas grouped data is a collection of individual observations of a variable aggregated into separate groups.
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To put it another way, all that is necessary to determine the mean of a set of data is to sum up all the values and divide the total by the number of values.
However, the fundamental approach and equations vary according on whether grouped or ungrouped data are presented. Ungrouped data is a collection of arbitrary observations, whereas grouped data is a collection of distinct groupings of individual observations of a variable.
1 you are offered a gamble on the toss of a coin. if the coin shows tails, you lose $100. if the coin shows heads, you win $150. would you accept it?
1 you are offered a gamble on the toss of a coin. if the coin shows tails, you lose $100. if the coin shows heads, you win $150. Yes one can accept it.
As per the given data:
If you toss the coin.
Coin shows tails [tex]$\rightarrow$[/tex] lose $ 100
Coin shows heads [tex]$\rightarrow$[/tex] win $ 150
We would consider expected gain for us in each scenario.
Since, the probability of head is,
[tex]P(H) = \frac{1}{2}[/tex]
The probability of Tail is,
[tex]P(T)=\frac{1}{2}[/tex]
Therefore, expected gain [tex]$=150 \times \frac{1}{2}+(-100) \times \frac{1}{2}$$$[/tex]
= 75 - 50
= $ 25
Since, gain is positive number of 25 .
We can say on an average we can gain some Profit.
Hence one would accept the offer.
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Select the values that make the inequality -g> 6 true.
When resolving an inequality, you can, add the same amount to each side, take away the same amount from each side, multiply or divide each side by the same positive amount.
How do inequality equations work?Connecting two expressions results in both the mathematical constructs known as equations and inequalities. The two expressions in an equation are thought to be equal when the equal symbol (=) is present. Two expressions in an inequality are not always equal, as shown by the symbols >,,, or. The four basic terms for inequality are smaller than, larger than, smaller than or equal to, and larger than or equal to.You can solve an inequality by doing one of the following: adding or subtracting the same amount from each side; multiplying or dividing each side by the same positive number. It is necessary to flip the inequality sign if all sides are multiplied or divided by a negative value.The complete question is,
How do you resolve an inequality equation?
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If the two legs of the right triangle are 4.8cm and 7.6cm,what is the area of the largest square,A
What are the exact solutions of x2 4 − 7x 1 point X X X X?
The solution of the given quadratic equation is x = (- 7 ± √(65)) / (2)
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation,
For this case, the first thing we must do is rewrite the polynomial:
x² + 7x - 4 = 0
We use the resolver to solve the problem using quadratic formula;
x = (- b ± √(b² - 4 × a × c)) / (2 × a)
Where,
a = 1
b = 7
c = -4
Substituting the values:
x = (- 7 ± √((7)² - 4 × (1) × (- 4))) / (2 × (1))
x = (- 7 ± √(49 + 16)) / (2×(1))
x = (- 7 ± √(65)) / (2)
Hence, The value of x is (- 7 ± √(65)) / (2)
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The cost of 6 oranges is $1.What is the cost of 3 dozen oranges?
GUYS PLEASE ANSWER IT FAST
AND EXPLAIN HIW YOU DID IT!
Answer:6 dollars
Step-by-step explanation:
1 dozen=12 oranges
3 dozen=36 oranges
36 divided by 6=6
6 times 1= 6 dollars
The snake travels 49 centimeters in one hour. At that rate, how long does it take the snake to go 686 centimeters?
Answer: It would take the snake approximately 14 hours to travel 686 centimeters
Step-by-step explanation:
At a rate of 49 centimeters per hour, it would take the snake approximately 14 hours to travel 686 centimeters. To find this, we can divide the distance the snake needs to travel by the rate at which it can travel to find the time it would take: 686 centimeters / 49 centimeters/hour = approximately 14 hours
Why can t we use AAA to prove two triangles are congruent?
Knowing merely angle-angle-angle (AAA) does not work, because it can result in triangles that are similar but not congruent.
A set of triangles must have equal sides and angles in order for them to be congruent. The sides of the triangles may or may not be equal in the case of a triangle with all of the corresponding angles equal, or the AAA condition.
Only if the two triangles are similar would the congruence be true for two triangles with identical respective angles. Thus, we are unable to utilize AAA to establish the congruence of two triangles.
A set of triangles must have equal sides and angles in order for them to be congruent. The sides of the triangles may or may not be equal in the case of a triangle with all of the corresponding angles equal, or the AAA condition. Only if the two triangles are similar would the congruence be true for two triangles with identical respective angles.
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please help with the promblem
The system of the equation's solution is x = -6 and y = 4 which is determined by graphically.
The system of equations is given in the question as:
y = 1/6 x + 5
4x + 3y = -12
For the first equation, y = 1/6x + 5, we can plug in two values for x and solve for y to find two points on the line. Let's plug in x = 0 and x = 1 to find two points:
When x = 0, y = 1/6(0) + 5 = 5. So the point (0, 5) lies on the line.
When x = 1, y = 1/6(1) + 5 = 5 + 1/6 = 5 1/6. So the point (1, 5 1/6) lies on the line.
For the second equation, 4x + 3y = -12,
Let's plug in y = 0 and y = 1 to find two points:
When y = 0, 4x + 3(0) = -12.
4x = -12, so x = -3. So the point (-3, 0) lies on the line.
When y = 1, 4x + 3(1) = -12.
4x + 3 = -12, so x = -4. So the point (-4, 1) lies on the line.
To solve these equations graphically, we plotted the lines on the coordinate plane, found the point of intersection, and then found the coordinates of that point.
Thus, the solution to the system of equations is x = -6 and y = 4.
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Sam i an accountant. He find that he pend two-fifth of hi work day by anwering email. If he pent 3. 6 hour anwering email yeterday, how many hour did he work
Sam spent two-fifth of his work day by answering email. He works for 9 hours.
Steps to translate and solve a word problem using algebraic expressions:
- Assign the unknowns to variables
- Translate the word into operators plus, less, multiply, or division
- Isolate the unknown
In the given problem, let p is the variable to express the total hours Sam worked yesterday.
He spent two-fifth of hi work day by answering email = 2/5 p
He spent 3.6 hours answering email yesterday, means:
2/5 p = 3.6
p = 5 x 3.6/2 = 9 hours
Hence, Sam worked for 9 hours.
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Which is an x-intercept of the continuous function in the table? Group of answer choices (0, –6) (3, 0) (–6, 0) (0, 3)
(3,0) is an x-intercept of the continuous function in the table.
What is x-intercept and y-intercept?If the graph of a function crosses the x-axis, then the function has an x-intercept. The x-intercept(s) of a function are called the zeros or the roots of the function.
If the graph of function crosses the y-axis, then the function has a y-intercept. A function can have at most one y-intercept.
Given that,
The table with x as the domain and f(x) as the range.
To find the x-intercepts, we need to find all the x-values that support the equation; f(x) = 0. An x-intercept is the first component of the ordered pair (k,0). Where k is any real number.
A y-intercept is the second component of the ordered pair (0,c), where c is any real number.
From the table provided, stated that:
x-intercept is (3,0), y-intercept is (0, -6).So, the x-intercept becomes: (3,0).
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The complete question is as follows:
Which is an x-intercept of the continuous function in the table? (0,-6) (3,0) (-6, 0) (0, 3)
dash by a fraction is the same as dash by its reciprocal
The product of a fraction and its reciprocal is 1
How to Interpret Fractions and reciprocals?In mathematics, we know that the fraction that is obtained by swapping or interchanging the numerator and the denominator with each other is known as the Reciprocal of the given fraction.
For example, if we have the fraction 3/5, it is safe to say that the reciprocal of this fraction will be 5/3.
Now, this means that 3/5 * 5/3 = 1.
Thus, we can say that the product of a fraction and its' reciprocal is the same as 1.
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Complete question is;
The _____ of a fraction and its reciprocal is 1. (a) sum (b) difference (c) product (d) quotient
the longer the extended supply chain, the greater the probability of risk group of answer choices false true
the probability of risk increases with the extension of supply chain. The more we enlarge our business the more possibility of risk.
What is supply chain?A supply chain refers a system of connection of the business elements such as raw materials, products, resources, profit, loss as well as all the activities of a running business organization.
What is probability of risk?the extent of possibility of occurring unexpected incident in a business. while going on with our business, we wish to extend our organization so as to earn reputation as well as gaining outstanding outcomes. But at the same time the chance of getting bad outcomes rises. It is termed as probability of risk.
hence, the above expression risk rises with increasing supply chain is true.
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What is the factor of 7?
There are only prime factors of the number 7 that are possible which are 1 and 7.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
Prime factorization is the process of expressing a number as the sum of all its prime factors. In prime factorization, each and every integer is a prime number.
Factors can be found using either division or multiplication. Rules of divisibility can also be used.
There are only prime factors of the number 7 that are possible which are 1 and 7.
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someone know how to do this tmr need hand in
Answer:
(1) The answer is given in the paper.
(2) The answer is given in the paper.
(3) PT = 21.26 cm
Step-by-step explanation:
(1) the paper says the answer is 7.81 cm
(2) the paper says the answer is 42 cm
(3) The work is in the image that is attached to this response.
3x 2/4 fraction please do explanation so i can know the correct answer.
Answer:
Below
Step-by-step explanation:
3 * 2/4 =
3/1 * 1/2
(3*1) / (2*1) = 3/2 = 1 1/2
What is the slope ratio for 30 degree angle?
The slope ratio for a line that makes an angle of 30 with the positive direction of the x-axis is 1:√3
The slope of a line is nothing but the change of the line in the y-coordinate concerning the change in the x-axis. So the slope is simply nothing but a ratio of change in the y-axis to change in the x-axis which is also called slope ratio.
m = change in y / change in x
tan 30= 1/√3 = change in y / change in x
tan 30= 1: √3
So the ratio of an angle of 30-degree slope will be 1:√3
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What is the equation of the line that has a slope of -3 and contains a point (-2,3) ?
Answer:
y=-3x-1, or 3x+y=-1
Step-by-step explanation:
well uh hopefully you don't need this
Answer: y=-3x+
Step-by-step explanation:
take the slope and the y and plug it into the equation y=mx+
What is the solution of the linear quadratic system of equations y x 2 5x 3?
The quadratic solution of the linear system of equations y = x2 + 5x - 3 is y = (x+3)(x-1).
1. Rewrite the equation as y = x2 + 5x - 3
2. Factor the equation by grouping the terms: y = (x+3)(x-1).
3. Set each factor equal to 0 and solve for x: x+3 = 0 and x-1 = 0
4. Solve each equation: x = -3 and x = 1
5. Substitute the values of x into the original equation to find the corresponding values of y:
y = (-3+3)(-3-1) = (-3)(-4) = 12
y = (1+3)(1-1) = (4)(0) = 0
Therefore, the solution of the linear quadratic system of equations y = x2 + 5x - 3 is y = (x+3)(x-1).
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How to find the sides of a 30 60 90 Triangle calculator?
Trigonometry Examples Popular Issue Trigonometry Solve the Triangle tri {} {30} {} {60} {} {90} Side Angle is given as b = c = a = A = 30 B = 60 C = 90 Side Angle b = c = a = A = 30 B = 60 C = 90
30 60 90 triangle sides If we know the shorter leg length a, we can find out that: b = a√3 c = 2a If the lasting leg length b is the one parameter given, then:
a = b√3/3 c = 2b√3/3 For hypotenuse c known, the legs formulas Now as follows: a = c/2 b = c√3/2 Or simply type your given values and the 30 60 90 triangle calculator will do the rest!
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Which is the coefficient form of X³ − 1 *?
Let x= the co-efficient of x^3-1. So the co-efficient of given function is x=1.
Define co-efficient.The term "coefficient" refers to a number or symbol that multiplies another number or symbol (used as a mathematical variable).
Write an example of co-efficient.An amount multiplied by a variable is known as a coefficient. As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.
Let x= the co-efficient of x^3-1. So the co-efficient of given function is x=1.
The term multiplied with x^3 is the co-efficient of this expression. As there is not term with x^3 so it is 1.
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How many solutions can 2 linear equations have?
Answer:
2 linear equations can only have 1 solution.
Step-by-step explanation:
⭐ What is a linear equation?
A linear equation is a type of equation that, when graphed, looks like a straight lineA linear equation can be written in 3 ways: [tex]Ax + By = C[/tex], [tex]y = mx + b[/tex], and [tex]y - y_1 = m(x-x_1)[/tex].⭐What does "solution" mean?
The solution for 2 equations is the point (x,y) that the 2 equations intersect at.Thus, when 2 linear equations intersect, they can only have 1 solution, because straight lines can only meet at 1 point.