A student claims that the graph shows the player earned more points from Level 2 to Level 3 than from Level 4 to Level 5. Is the student correct?
O No, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5
O No, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.
O Yes, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5.
OYes, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.
Answers
Related Questions
Jocelyn has a points card for a movie theater.
She receives 25 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
She needs at least 170 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the
number of visits Jocelyn can make to earn her first free movie ticket.
Answers
Answer:
12 visits.
Step-by-step explanation:
Jocelyn receives a flat 25 reward point, and 12.5 points for each visit. She wants to redeem a free movie ticket that costs 170 points.
Set the equation. Let "each visit" be denoted by the variable, x:
12.5 per visit + a flat 25 reward point ≥ Free movie ticket that costs 170 points.
12.5x + 25 ≥ 170
Isolate the variable, x. Note that what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 25 from both sides of the equation:
12.5x + 25 ≥ 170
12.5x + 25 (-25) ≥ 170 (-25)
12.5x ≥ 170 - 25
12.5x ≥ 145
Next, divide 12.5 from both sides of the equation:
(12.5x)/12.5 ≥ (145)/12.5
x ≥ 145/12.5
x ≥ 11.6
x ≥ 11.6 is your answer. Therefore, Jocelyn would have to make 12 trips to earn her first free movie ticket.
~
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12.5v=145
Now divide both sides by 12.5 and you’ll get 11.6, but u can’t visit 11.6 times so you have to round it up to 12. Is this RSM algebra 7_3?Bc I remember doing this problem too
I NEED HELP NEOW PLS
Answers
Step-by-step explanation:
SWT + TWU =180º therefore SWU must be a line. Aka SWU is linear. So SWT and TWU must be a linear pair.
SWT + SWT = 180º therefore 2SWT=180º deviding both sies by 2 we get SWT = 90º Therefore SWT is replacing TWU. SWT is substituted into TWU. So substitution.
SU | TV basically means the line that passes through both points S and U is perpendicular to the line that passes through both points T and V. Therefore it is the Defenition of perpendicular lines.
If this helped please rate the answer.
A square rug has an area 66 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
Answers
Answer:
sqrt66
Step-by-step explanation:
Area of a square is
A = s^2
Here, the area is 66.
66 = s^2
Squareroot both sides to solve.
sqrt66 = s
The side of the square is sqrt66 ft.
This number, sqrt66 is not a rational number because 66 is not a perfect square. Sqrt64 is 8, sqrt81 is 9. But sqrt66 is 8.1240384046 (continuing, neverending, never repeating decimal)
That is not rational.
Solve the inequality. Enter the answer as an inequality that shows the value of
the variable; for example f> 7, or 6 < w. Where necessary, use <= to write <
and use >= to write 2.
v-(-5) <-9
Answers
Solve the inequality. v - (-5) < -9 the solution for the inequality is
v < -14What is inequality?Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
How to solve the inequalityThe given algebraic expression is v - (-5) < -9
This is solved as follows
v - (-5) < -9
v + 5 < -9
v < -9 - 5
v < -14
The value of v is -14
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if you want to know the probability that it is a defective bolt (event c), which formula would you use?
Answers
The given probability is based on conditions of two events, hence it is called as conditional probability and it's formula according to the events is option.a [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex]
Bayes' rule is a mathematical theorem that allows you to modify probability statements in response to new information. With this rule, you can reverse the conditional probability statement and find the probability of the first event occurring given the probability of the second event occurring by using the probability of the second event occurring given the probability of the first event occurring.The first event in this case is that the bolt is defective (event C). The second occurrence is that it was selected from the first machine (event A). As a result, given that the bolt is from the first machine, we can state the conditional probability that it is defective.
Hence, the formula is [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex].
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Your question is incomplete , here is the complete question
In a factory that manufactures bolts, the first machine manufactures 70% of the bolts and a second machine manufactures the remaining 20%. The percentage of defective bolts is 3% and 5%, respectively.An employee picks a bolt off a shelf at random and it is from the first machine (event A).If you want to know the probability that it is a defective bolt (event C), which formula would you use?
[tex]a.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}\\\\b.\ p(\frac{A}{C})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\c.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\d.\ p(\frac{A}{C})=\frac{p(\frac{C}{A}).p(A)}{p(C)}[/tex]
in a school walking club, a teacher awards t-shirts to those students who complete their goal of walking 50 miles during a semester. the act of awarding t-shirts to the students is an example of a(n) .
Answers
The given statement "a teacher awards t-shirts to those students who complete their goal of walking 50 miles during a semester " is the example for tangible reinforcers.
Tangibles serve as a visual reminder for employees to keep an eye out for desired behaviours and then provide specific positive feedback. . This aided you in completing your assignment quickly and correctly. "You have earned a Tiger Ticket because you followed directions," can improve the student-teacher relationship. You can give the student positive specific feedback without using a tangible (ticket, token, etc.), but a tangible must always be accompanied by positive specific feedback.
Hence, the given statement is an example of tangible reinforcers
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An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t)= -4.9t^2 + 19.6t + 58.8, where s is in meters. How high will the object be after 3 seconds
73.5 ft
98.49 ft
161.7 ft
333.69 ft
Answers
The first option is true since the item achieved its maximum height of 73.5 feet.
What does a quadratic equation's vertex form mean?x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem. The answer could be simple or complicated.
This quadratic equation, which has the form y=a(x-h)2 + k, is referred to as being in vertex form. It is so named because the vertex point (peak point) lies on the graph of this equation (h,k)
We may deduce from the facts above that
-4.9 t2 + 19.6 t + 58.8 = 0
The equation will logically fit into the square upon completion.
y = a(x-h)^2 + k
where h will be the time it takes to get to a height of k.
-[tex]4.9t^{2}[/tex] + 19.6t + 58.8 = 0
-[tex]4.9t^{2}[/tex] + 19.6t = - 58.8
-4.9( [tex]t^{2}[/tex] - 4t ) = -58.8
Now take half the linear term, square it, and add it to both sides.
-4.9( [tex]t^{2}[/tex] - 4t ) = -58.8
-4.9( [tex]t^{2}[/tex] - 4t + 4 ) = -58.8 + 19.6
-4.9 [tex](t-2)^{2}[/tex] = - 78.8
s(t) = -4.9 [tex](t-2)^{2}[/tex] + 78.8
now we have t = 3sec
s(t) = 73.5ft
The object reached its maximum height of 73.5 ft, the first choice is correct.
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PLEASE HELP IM IN A RUSH PLEASEEEEEEEEEEEEEEEEEEE
Lainey is sliding down a water slide that is 322 feet long at a rate of 46 feet per second. How long will it take Lainey to travel from the top to the bottom of the slide?
A.
-7 seconds
B.
-276 seconds
C.
276 seconds
D.
7 seconds
Answers
Solve for x:
322/46=x
x=7
So, it takes her 7 seconds to travel down the slide. We can check the answer:
322=46(7)
322=322
So, 7 seconds is the answer
I’m GIVING BRANILYIST HELPPPP apple seed=1
Apple seeds Johnny planted
at each location
Charleston Louisville Richmond
Location
What is the range of apple seeds planted?
apple seeds
Springfiel
Answers
Answer: range is 4.
Step-by-step explanation:
highest apples: 6 at springfield.
lowest apples: 2 at charleston.
subtract.
6-2=4.
a study of treatments for angina (pain due to low blood supply to the heart) compared bypass surgery, angioplasty, and use of drugs. the study looked at the medical records of thousands of angina patients whose doctors had chosen one of these treatments. it found that the average survival time of patients given drugs was the highest. what do you conclude?
Answers
We can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.
The nurse takes the patient's cardiac output and makes a decision on how the patient will react to the medication.
What types of tasks does a nurse perform?
Registered nurses (RNs) administer and supervise patient care, educate the public about various ailments, and provide psychological support and counseling to patients' relatives. Most nurses collaborate to doctors in a variety of contexts.
How many years do such people live?
People who have access for informal health information as having a nurse or doctor in the parents 10% more likely to remain past the age of 80, according study released in a journal article by that of the Directorate of Economic Research.
Therefore, we can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.
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A pair of linear equations is shown: y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines; the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines; the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1. On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2
Answers
The solution to this pair of equations is the point (2, -1).
Which of the above phrases best describes the stages involved in solving the two equations graphically?On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.To solve these equations graphically, plot both lines on the same graph. For the first equation, plot the y-intercept at (0, 3) and plot each additional point using the slope of -5. For the second equation, plot the y-intercept at (0, -1) and plot each additional point using the slope of -2.Connect the points of each line to create two lines. The point of intersection of the lines is the solution to the pair of equations. The solution to this pair of equations is the point (2, -1).To learn more about linear equations graphically refer to:
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Just Part C because I already did the other two parts
Answers
The equation of g(x) after the transformation is given as follows:
g(x) = 192x^5 - 36x² + 12.
How to obtain the equation of g(x)?The equation for function g(x) is obtained applying the rules for each transformation to the parent function f(x).
The parent function f(x) in this problem is defined as follows:
f(x) = 2x^5 - 3x² + 4.
The first transformation is an horizontal shrink by a factor of 1/2, hence the rule for this transformation is described as follows:
g(x) = f(2x).
Thus:
g(x) = 2(2x)^5 - 3(2x)² + 4
g(x) = 64x^5 - 12x² + 4.
The vertical stretch by a factor of 3 means that all these coefficients are multiplied by 3, that is:
g(x) = 3(64x^5 - 12x² + 4).
Applying the distributive property, we have that:
g(x) = 192x^5 - 36x² + 12.
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the mean recurrence interval (mri) of an earthquake in the 8.0-9.0 magnitude range in the los angeles area is approximately 1,500 years. based on this, what is the probability of an earthquake in this magnitude range sometime in the next 30 years?
Answers
Using the Poisson distribution, the probability of an earthquake in the 0.8-0.9 magnitude range sometime in the next 30 years is
1 - 1.9287 x 10⁻²².
It is given that mean recurrence of an earthquake is the 8.0-9.0 magnitude is approximately 1500 years.
We have to find the probability of an earthquake in this magnitude range sometime in the next 30 years.
Since, an occurrence of an earthquake is a rare event, we can use Poisson distribution here.
Poisson distribution gives the probability of occurrence of any event in a given time interval.
Let the average number of event per year in 30 years of period is λ.
[tex]\lambda = \frac{1500}{30}[/tex]
λ = 50
Let, the occurrence of an earthquake is a random variable x.
Then the probability that at least an earthquake occur in next 30 years is calculated as:
P(x ≥ 1) = 1 - P(x<1)
P(x ≥ 1) = 1- P(x=0) -----(1)
PDF of Poisson distribution with parameter λ is given as:
[tex]P(X = x) = \dfrac{e^{-\lambda}{\lambda}^x}{x!}[/tex]
So, in this case
[tex]P(x=0)= \dfrac{e^{-50}{(50)}^0}{0!}[/tex]
[tex]P(x=0)= \dfrac{1.9287 \times 10^{-22}}{1}[/tex]
[tex]P(x=0)={1.9287 \times 10^{-22}[/tex]
Substitute this value in equation (1)
P(x ≥ 1) = 1 - 1.9287 x 10⁻²²
Hence, the probability of an earthquake in next 30 years is
1 - 1.9287 x 10⁻²².
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imagine you compare the effectiveness of four different types of stimulants to keep you awake while revising statistics using a one-way anova. the null hypothesis would be that all four treatments have the same effect on the mean time kept awake. how would you interpret the alternative hypothesis?
Answers
The alternative hypothesis in this case would be that at least one of the four treatments has a different effect on the mean time kept awake compared to the others.
If the one-way ANOVA test rejects the null hypothesis, it means that there is a significant difference in the mean time kept awake among the four treatments. This means that at least one of the treatments is more effective in keeping you awake than the others. It is important to note that the alternative hypothesis does not specify which of the treatments is more effective, only that at least one is different from the others. To determine which treatment is more effective, you would need to conduct additional tests, such as post-hoc tests.
The alternative hypothesis in this case would be that at least one of the four treatments has a different effect on the mean time kept awake compared to the others.
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(4p+1)(4) Simplify the expression
Answers
Answer:
16p + 4
Step-by-step explanation:
the first thing you should do when you simplify an equation is to distribute the parenthesis
4p * 4 + 1 * 4
16p + 4
you cannot simplify any further so that is your answer
your statistics class has 26 students in it what is the probability that both students are girls given that the second student chosen is a girl
Answers
Given that the second student chosen is a girl, the probability that both students are female is 0.175.
The occurrence of likely events is referred to as probability. It is the branch of mathematics concerned with numerical estimates of the likelihood of an event occurring or a statement being true.
Probability is nothing but likelihood of something is to occur. When we are unsure about the outcome of an event, we can discuss the probabilities of certain outcomes—how likely they are.
The probability of selecting a girl from the class is
[tex]= \frac{Number\ of\ girls}{ Total\ number\ of\ students}= \frac{14}{26}\\\\= \frac{7}{13}[/tex]
It is known that the one of the chosen student from 2 students is girl, the probability of having both girls will be:
[tex]= \frac{7}{16} * \frac{6}{15}\\\\= 0.175[/tex]
Hence, the probability is 0.175.
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Your question is incomplete, here is the complete question.
Your statistics class has 26 students in it - 14 girls and 12 boys.Your teacher uses a calculator to select two students at random to solve a problem on the board. Given that the second student chosen is a girl, what is the probability that the first student was also a girl?
Brian started cleaning at 3:33 PM and finished at 4:21 PM. How long did it take him.
Answers
Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes
How did we figure this out?First, we are figuring out what is given we are counting numbers or we can add to get to 4:21 PM.
Counting numbers:
[tex]\boxed{3:33=3:34=3:35=3:36=3:37=3:38=3:39=3:40 }[/tex]
Add the numbers:
[tex]\boxed{3:33+7=3:40+10=3:50+10=4:00+21=4:21}[/tex]
If we add the numbers it would be faster.
Therefore, when we add we get are answer.
Therefore, Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes
Answer:
48
Step-by-step explanation:
Which of these expressions equal 15 when x = and y = 3?
*There is more than correct answer.
ry+3+201
4 (2y-4r) -1
04r²+2y-10
04 (2²+1) + 2x + 3y
0-14r2
Answers
The given are the expressions that are equivalent to 15 for [x] = 1/2 and [y] = 3 :
4(2y - 4x) - 1 4(x² + 1) + 2x + 3yxy + 3[tex]\frac{1}{2}[/tex] + 20xWhat is expression in mathematics?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
Given are the expressions as shown in the image attached.
Let us check the expressions for an equivalent value of 15.
Expression [1] :
4(2y - 4x) - 1
4(2 x 3 - 4 x 1/2) - 1
4(6 - 2) - 1
4 x 4 - 1
16 - 1
15
Expression [2] :
4(x² + 1) + 2x + 3y
4(1/4 + 1) + 2 x (1/2) + 3 x 3
4(5/4) + 1 + 9
5 + 10
15
Expression [3] :
xy + 3[tex]\frac{1}{2}[/tex] + 20x
1/2 x 3 + 7/2 + 20 x 1/2
3/2 + 7/2 + 10
1.5 + 3.5 + 10
15
Therefore, the expressions that are equivalent to 15 when [x] = 1/2 and [y] = 3 are
4(2y - 4x) - 1 4(x² + 1) + 2x + 3yxy + 3[tex]\frac{1}{2}[/tex] + 20xTo solve more questions on functions and expressions, visit the link -
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forty percent (40%) of consumers believe that cash will be obsolete in the next twenty years. assume that 8 consumers are randomly selected. find the probability that:
Answers
The probability that less than three of the chosen consumers think that currency won't be used in 20 years is 0.293.
According to the statement, 40% of consumers think cash will be unnecessary in 20 years. Let us assume that eight consumers are chosen at random.
We need to determine the likelihood that fewer than three of the chosen consumers think currency will be obsolete in 20 years.
We will use the properties of probability distribution in the given scenario.
We know that for randomly selected variable the properties of combination are used.
P(X=1) + P(X=2) = C¹₈ × 40 × 60⁷ + C²₈ × 40² × 60⁶
P(X=1) + P(X=2) = 0.293
Therefore, there is a 0.293 percent chance that fewer than 3 of the chosen customers think that cash will be obsolete in 20 years.
The ratio of likely outcomes to all scenarios that are feasible, to all possible outcomes is called probability.
Normal distributions are crucial to statistics because they are commonly used in the natural and social sciences to describe real-valued random variables with uncertain distributions. They are important in part because of the central limit theorem.
This claim asserts that under certain conditions, the average of many samples (observations) of a random variable without finite mean and variance is itself a random variable, whose distribution converging to either a normal distribution as the number of samples increases.
Disclaimer: The complete question is :
40% of consumers believe that cash will be obsolete in the next 20 years. Assume that only 8 consumers are randomly selected. Find the probability that less than 3 of the selected consumers believe that cash will be obsolete in the next 20 years .
(Round to three decimal places as needed.)
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in a study, a researcher finds that as a increases, b also increases. the analysis shows that the strength of the relationship is 0.78. what type of linear relationship is this?
Answers
The type of linear relationship is positive.
Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate). It's a common tool for describing simple relationships without making a statement about cause and effect. The correlation coefficient is a statistical measure of the strength of a linear relationship between two variables. Its values can range from -1 to 1. A coefficient of 1 shows a perfect positive correlation, or a direct relationship. A correlation coefficient of 0 means there is no linear relationship.
The type of linear relationship is positive.
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Simplify. Write your answer as a proper or improper fraction in simplest form.
Answers
Write an inequality that represents the solutions on the number lines below.
Answers
Answer:
just use the number line
-3<x<4
and
x<3
Question
Solve for x.
3/5(x−7/10)=−314
Enter your answer as a mixed number in simplest form in the box.
x =
Answers
Answer:
x = -522 19/30
Step-by-step explanation:
To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.
One angle measures 130°, and another angle measures (8k + 58)°. If the angles are vertical angles, determine the value of k.
Answers
Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure, the value of k is 9.
How to find value of k ?Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure. They are formed when two lines intersect, and they are always congruent, or equal in measure.
That if one angle measures 130°, the measure of its vertical angle must also be 130°.
If the other angle has a measure of (8k + 58)°, and it is a vertical angle to the angle that measures 130°, then it must also have a measure of 130°.
We can set up the equation 130 = 8k + 58 and solve for k to find the value of k.
Subtracting 58 from both sides gives us 72 = 8k. Dividing both sides by 8 gives us k = 9.
Therefore, the value of k is 9.
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combine like terms to create an equivalent expression.
-3.6 - 1.9t + 1.2 + 5.1t
Answers
Answer:
–2.4 + 3.2t
Step-by-step explanation:
= –3.6 – 1.9t + 1.2 + 5.1t
= –3.6 + 1.2 – 1.9t + 5.1t
= –2.4 + 3.2t
i hope this helped
the value of x is one quarter of z. the sum of x, y, and z is equal to 26. if the value of y is twice the value of z, what is the largest factor of the sum of y and z?
Answers
The largest factor of the sum of y and z is 24.
What is the benefit of using substitution method?The replacement approach has the advantage of providing the precise values for the variables (x and y), which correspond to the site of intersection.
What is substitution method?When using the "by substitution" method, you must first solve one of the equations provided (you must choose which one) for one of the variables (you must choose which one), after which you must plug this value back into the other equation provided (you must "substitute" for the chosen variable and solve for the other value). The first equation is then used to back-solve for the first variable. The many procedures required in using the replacement approach to solve problems have been described in full above. Use those to discover the solution to a given system of linear equations.
We are given with three equations having three unknowns:
x = z/4
x + y + z = 26
y = 2z
Using the method of substitution, we can now solve for each of the three unknowns.
Since the first equation, x = z/4, is an equation for x in terms of z, and the third equation, y = 2z, is an equation for y in terms of z, we can replace x and y in the second equation by their equivalent expressions as follows:
x + y + z = (z/4) + (2z) + z = 26
We are left with an equation with just one unknown z. We can now solve for z:
(z/4) + (2z) + z = 26
z/4 + 8z/4 + 4z/4 = 13z/4 = 26
z/4 = 2
z = 8
Now that we know z, we can easily solve for y, then compute y + z (note: we can also solve for x, but since we are not interested in the value of x there is no need to do so):
y = 2z = 2(8) = 16
y + z = 16 + 8 = 24
Since the largest factor of any number is the number itself, the largest factor of the sum of y and z is 24.
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Find the angle the line 3v = 2x + 6 makes with the x-axis.
Answers
The angle that the line 3y = 2x + 6 makes with the [x] axis is (θ) = 33°69'.
What is a function? What is equation modelling? What is a mathematical equation and expression?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 functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is the equation -
3y = 2x + 6
The given equation is -
3y = 2x + 6
y = (2/3)x + (6/3)
y = (2/3)x + 2
Slope of the line -
m = 2/3.
We know slope is also given by -
m = tan(θ)
So -
tan(θ) = 2/3
(θ) = tan⁻¹(2/3)
(θ) = 33°69'
Therefore, the angle that the line makes with the [x] axis is (θ) = 33°69'.
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in a linear programming model, the constraints may be non-linear, but the objective function must be linear. true false
Answers
It is true that the objective function and the restrictions in a linear programming problem must be linear functions of the choice variables.
What is Linear Programming Model ?The method of choosing the best result from a linear function is known as linear programming. Making a few straightforward assumptions is the easiest way to accomplish linear optimization. As the goal function, the linear function is referred to. Real-life relationships can be quite challenging. However, such interactions can be represented using linear programming, which facilitates analysis of such relationships.
When the need of a mathematical model are represented by linear relationships as, the optimal result can also be obtained using a technique known as the linear programming (LP), sometimes known as linear optimization. A particular type of mathematical programming is linear programming.
Formally speaking, linear programming is the method for optimizing a linear objective function under the restrictions of the linear equality and linear inequality. Convex polytopes, a set defined as the total intersection of a finite number of half spaces, each of which is determined by the linear inequality, make up viable region.
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HELP with 4 and 6 please
Answers
Answer:
4.) a.) 2.01 b.) 404.01
6.) a.) 152.17 b.) 18412.17 c.) 153.14 d.) 18565.60
Step-by-step explanation:
To solve, use the exponential growth formula [tex]A_t=A_0(1+\frac{r}{p})^t[/tex] where
[tex]A_t[/tex] = Amount as a function of time
[tex]A_0[/tex] = Original amount
[tex]r[/tex] = rate
[tex]p[/tex] = period
[tex]t[/tex] = time
For question 4, let
[tex]A_0=400\\r=0.06\\p=12\\t=2[/tex]
So,
[tex]A_t=400(1+\frac{0.06}{12})^2\\A_t=400(\frac{201}{200})^2\\A_t=400(1.01)\\A_t=404.01[/tex]
So, the second-period interest would be 404.01-402=2.01
Question 6 can be solved using the same formula, but let
[tex]A_0=18260\\r=0.025\\p=\frac{12}{4}=3\\t_1=1\\t_2=2[/tex]
So,
[tex]A_t=18260(1+\frac{0.025}{3})^1\\A_t=18260(\frac{121}{120})^1\\A_t=18412.17[/tex]
The first-period interest would be 18412.17-18260=152.17
For the second-period, use [tex]t_2[/tex]:
[tex]A_t=18260(1+\frac{0.025}{3})^2\\A_t=18260(\frac{121}{120})^2\\A_t=18260(1.02)\\A_t=18565.60[/tex]
The second-period interest would be 18565.60-18412.17=153.43
Lee always uses the y-axis as her vertical line when testing whether a graph represents a function. Why is this strategy flawed? A The y-axis is a horizontal line. B The y-axis is infinitely long. C The y-axis is exempted from the vertical line test. D The y-axis only tests whether x = 0 has been mapped to more than one y coordinate
Answers
Answer:
D) The y-axis only tests whether x = 0 has been mapped to more than one y coordinate.
Step-by-step explanation:
The y-axis is a vertical line and intersects the x-axis (horizontal line) at the origin (0, 0) when both x and y are zero.
Vertical line test
A graph represents a function if and only if all vertical lines intersect the graph at most once.
Therefore, the strategy of using only the y-axis as the vertical line in the vertical line test is flawed because the y-axis only tests whether x = 0 has been mapped to more than one y-coordinate.
