what is the difference between a convex set and a convex function with respect to linear programming?

Answers

Answer 1

A real-valued function defined on an interval with the property that its epigraph—the collection of points on or above the function's graph—is a convex set—is said to be convex. The challenge of minimizing convex functions over convex sets is the subject of the optimization discipline known as convex minimization.

What is linear programming?

A mathematical model whose needs are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming. When a linear function is subjected to various constraints, it is maximized or minimized using the mathematical modeling technique known as linear programming. In business planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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Related Questions

2. Stella's aunt donates 42 red roses, 70 pink carnations, and 56 yellow daisies for the party. The flowers will need to be arranged and placed on the tables. Stella wants each arrangement to have the same number of each color of flower. There are 12 tables at the party. Can she make an arrangement for each table and have no flowers left?​

Answers

Answer:

no she will have 24 flowers left

Step-by-step explanation:

,Lm

Lin runs 5 laps in 6 minutes
How many minutes per lap is that.

Answers

Answer:

0.83 laps per minute

Answer: 0.83 laps per minute.

Step-by-step explanation:

In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 44 inches?

Answers

Answer:

  22√3 inches

Step-by-step explanation:

You want to know the length of the longer leg of a 30°-60°-90° triangle when the hypotenuse is 44 inches.

Side lengths

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

This means the longer leg is (√3)/2 times the length of the hypotenuse.

Application

In the given triangle, the longer leg is ...

  (44 in)(√3)/2 = 22√3 in

Of the 52 plays attributed to a​ playwright, 19 are​ comedies, 10 are​ tragedies, and 14 are histories. If one play is selected at​ random, find the odds against selecting a tragedy

Answers

The answer is 3/5, or 60%

11 (comedies) + 19 (tragedies) = 30

30/50 = 3/5, or 60%

oh no i have a F+in math please help me

Answers

Answer: 2 1/4

Step-by-step explanation:  If you  add all those numbers like : 1/3+3/4+4/6+1/2 = and you will get 2 1/4

Answer:

[tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

add them all and you'll get that answer

A runner is 7/8 miles away from the finish line. If she can travel 3/8 miles per minute, how long will it take her to finish the race?

Answers

The time that runner takes to finish the race is 2.133 minutes.

What is the application ratio and proportion?

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The speed of the runner is given as 3/8 miles per minute.

The remaining distance to be travelled is 7/8 miles.

Then, the time taken by the runner is the ratio of distance to be travelled to the speed. It can be written as follows,

Time taken by runner = (7/8)/(3/8)

                                    = 7/3

                                    = 2.133

Hence,the time taken by the runner to finish the race is 2.133 minute.

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While hiking, Mr. Fury burns 808 calories in 8 hours. At this rate, how many calories does he burn in 60 minutes?

(1): 6,464 calories
(2): 110 calories
(3): 101 calories
(4): 250 calories

Answers

While hiking, Mr. Fury burns 808 calories in 8 hours. At this rate, how many calories does he burn in 60 minutes?

(1): 6,464 calories

(2): 110 calories

(3): 101 calories

(4): 250 calories

808/8 = 101 per hour

60 minutes = 1 hour so:

101 * 1 = 101

It will be answer three 101 calories because In 8 hours it’s 808 total and 808 divided by 8 is 101 which is 101 calories an hour.

in a natural deduction problem if your conclusion is a conditional statement that does not appear in any of the premises, then the basic strateguy tells you to do what

Answers

In a natural deduction problem, if your conclusion is a conditional statement that does not appear in any of the premises, then it is not a valid argument.

Natural deduction is a process/theory that we use to derive the conclusion of any argument from the premises by using the rules of inference. Now, as the definition itself has established, in natural deduction problems we solve arguments from the premise. But in the argument, we have been told that the conclusion isn't from the premises.

Any argument or conclusion becomes valid if the premise is valid as well. This means that if the conclusion is not in the premise, then it is not valid.

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There is a new ride share service that charges a rate of $5 for the
first 5 miles, then charges $0.50 per mile after that.
If you want to spend $12 or less, what is the maximum number of
miles you could go using the ride share service?

Answers

The maximum number of miles you could go using the ride share service for $12 or less is 14 miles

How to find the miles to go with $12

The problem is solved by generating the equations

assuming x represents the number of extra miles

$5 is charged for the first 5 miles  and $0.50 per mile after that

This can be represented using the equation

total cost, y = $5 + $0.5x

$0.50 for the extra miles

Having $12 the number of miles is calculated as below

$12 = $5 + $0.5x

0.5x = 12 - 5

0.5x = 7

x = 7 / 0.5

x = 14 miles

The number of miles that can be paid for using $12 is 14 miles and this is the maximum number since the amount will result to lesser miles

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Which number is greatest? A. 3.4 × 10-2 B. 4.3 × 10-3 C. 5.2 × 10-4 D. 6.1 × 10-4

Answers

Mathwy is To solve this type of3.4 x 10-2 PEMDAS

You are interested in how well people recall visual details based on type of scene;SO you compare recall scores for a group of people who view a humorous scene,a dramatic scene, and scary scene_ between-subjects ANOVA independent samples t test related samples t test within-subjects ANOVA

Answers

The statistical techniques of analysis of variance (ANOVA) and analysis of covariance (ANCOVA) are used to test the validity of the hypothesis regarding the comparison of group mean values.

The term "parametric approach" refers to a statistical technique used to compare the means of two normally distributed continuous variables.

In contrast to ANOVA, which is used to compare the means among three or more groups, the Student's t test (also known as the T test) is used to compare the means between two groups.An ANOVA test with a significant P value identifies at least one pair in which the mean difference was statistically significant.

The post-hoc test (multiple comparisons) is utilized to determine whether pair(s) are significant. When at least one covariate (continuous variable) in an ANOVA test is altered to eliminate confounding variables from the outcome, the procedure is known as an ANCOVA. Because inferences about means are made by analyzing variance, the ANOVA test (F test) is referred to as "Analysis of Variance" rather than "Analysis of Means."

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a study of 26 worldwide financial institutions showed the correlation between their assets and pretax profit to be 0.87. a. state the decision rule for 0.025 significance level: h0: rho ≤ 0; h1: rho > 0. (round your answer to 3 decimal places.) b. compute the value of the test statistic. (round your answer to 3 decimal places.) c. can we conclude that the correlation in the population is greater than zero? use the 0.025 significance level.

Answers

The value of the test statistic using correlation coefficient and sample size is equal to 8.776 ( round up to 3 decimal places.)

As given in the question,

Sample size 'n' = 26

Correlation coefficient 'r' = 0.87

Significance level 'α' = 0.025

a. Decision rule for the system of hypothesis are:

Null hypothesis :  H₀ : ρ ≤0

Alternative hypothesis:  H₁ : ρ > 0

Value of the test statistic 't'

= r√n-2 / √1 - r²

= (0.87√ 26 - 2) / √1- 0.87²

= 4.3 / √0.2431

= 4.3 / 0.49

= 8.776

Therefore, value of the test statistic using the given values is equal to 8.776.

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Find the nth term of this number sequence

15, 12, 9, 6, ...

Answers

Answer:

[tex]a_{n}[/tex] = 18 - 3n

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

12 - 15 = 9 - 12 = 6 - 9 = - 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 15 and d = - 3 , then

[tex]a_{n}[/tex] = 15 - 3(n - 1) = 15 - 3n + 3 = 18 - 3n

2 Determine whether the table represents a linear relationship. If so, state the slope of
the line.
X
2
3
4
5
сл
y
14
21
28
35
X
-2
-1
0
1
y
10
5
0
-5
x
2
3
4
5
y
48
72
90
114

Answers

Answer:

Tables A and B represent linear relationship

-------------------------

Table Ax = 2, 3, 4, 5                  Difference is 1y = 14, 21, 28, 35           Difference is 7This is linear and the slope is 7

Table Bx = -2, -1, 0, 1                  Difference is 1y = 10, 5, 0, -5                Difference is - 5This is linear and the slope is - 5

Table Cx = 2, 3, 4, 5                  Difference is 1y = 48, 72, 90, 114         Difference is inconsistentThis is not linear

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?.

Answers

The shortest length of fence that the rancher can use is 6000 ft.

What is meant by length?

The measuring of one thing from finish to finish or on its longest aspect, or a measuring of a selected a part of one thing is known as length.

Main Body:

x = width of rectangle

y = length of rectangle

A = area of rectangle = xy = 1500000 ft^2

L = length of fencing needed = 2(x + y) + x = 3x + 2y

L = 3x + 2(1500000/x) = 3x + 3(10^6)x^(-1)

As x –> 0+, L –> +inf.

As x –> +inf, L –> (3x)+.

Sketch and see that there will be a minimum in Quadrant I.

dL/dx = 3 - 3(10^6)x^(-2)

Extrema occur when dL/dx = 0:

3 - 3(10^6)x^(-2) = 0

(10^6)x^(-2) = 1

x^2 = 10^6

x > 0, so x = 1000 feet for shortest length.

Hence,Shortest L = 3000 + 3(10^6)(10^3)^(-1) = 6000 feet.

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Factorise the following x^2+6x+8

Answers

Answer: (x+2) (x+4)

Hope this helps!

(X+2)(X+4)

Have a great day!

c8 q8 v1: a random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 62.25. suppose that the population standard deviation is known to be 4.5. which of the following is correct? (note that you can answer these questions from understanding gleaned in lecture and lab, but may find r helpful.)

Answers

99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

Given, the mean of the final grades of the sample be 62.25 and the standard deviation be 4.5

On Subtracting 1 from your sample size, we get

100 – 1 = 99.

On Subtracting confidence level from 1, and then divide by two.

(1 – .997) / 2 = 0.0015

Now, df = 99 and α = 0.0015

from the table at df = 99 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(100) = 2.8

Now, 2.262 × 2.8 = 6.33

So, the confidence interval be,

(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)

Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

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sean wants to test a hypothesis according to which the mean amount of sales dollars per employee will vary between three store locations: the oak ridge, oak wood, and oak park shopping malls. the most appropriate statistical test/analysis would be the .

Answers

The most appropriate statistical test/analysis for Sean who wants to test a hypothesis according to which the mean amount of sales dollars per employee will vary between 3 store locations would be the T-test.

What is the T-test?

A T-test is a statistical test which compares the means of two samples. It is used in hypothesis testing, with a null hypothesis which the difference in group means is zero and an alternate hypothesis which the difference in group means is different from zero.

The choice of T-test depends on whether we are studying one group or two groups, and whether we care about the direction of the difference in group means.

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Adriel buys 7 bottles of apple juice at the corner store for a total cost of $5.25. If each bottle costs the same amount, how much is each bottle of juice?

Answers

Answer:

$5.25 = 525 cents

525/7=75

each bottle is 75 cents or $0.75

5.25/7 so you’re answer would be: 75 Cents

how many ways are there for eight men and five women to stand in a line so that no tow women stand right next to each other

Answers

There are therefore 609638400 different ways to arrange eight men and five women in a line so that no two women are positioned adjacent to one another.

What is fundamental counting principle?

The basic counting principle is a method for keeping track of all the potential outcomes in a situation. It states that there are n*m ways to carry out both of these activities if there are n ways to carry out one action and m ways to carry out another action after that.

Here,

Number of ways men can stand,

=8!

=40320 ways

Number of ways women are standing,

=9P5

As shown in the image,

=15120 ways

For arranging both of them,

=40320*15120

=609638400 ways

So there is 609638400 ways of arranging eight men and five women to stand in a line so that no two women stand right next to each other.

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The enrollment at Grove
Middle School is expected to increase
by 40 students each year for the next
5
years.
If their current enrollment is
600 students, find their enrollment
after each of the next 5 years.

Answers

Answer:

After one year, the enrollment will be 600 + 40 = 640. After two years, the enrollment will be 640 + 40 = 680. After three years, the enrollment will be 680 + 40 = 720. After four years, the enrollment will be 720 + 40 = 760. After five years, the enrollment will be 760 + 40 = 800.

Step-by-step explanation:

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is a. much larger than one b. zero c. infinity d. None of these alternatives is correct.

Answers

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is much larger than one.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

These concepts have been given an axiomatic mathematical formalization in probability theory, which is used widely in areas of study such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.

Firstly, it is important to clarify that when people say ‘‘The Sun Will Rise Tomorrow’ they are implying only how It only appears to an observer on earth that the sun rises and sets. In reality the sun neither rises nor sets it only appears to do so because the earth takes one day (24 hours to rotate on its axis). It has appeared to do this for as long as the earth has existed (approx. 4.5 billion years). Although for the purpose of this short reflection, the idiom will signify part of the day-night process -being able to see the sun rise from the perspective of a human on earth.

Although the chances might be extremely high, they are not certain. Even thought it may be very improbably unless an infinite amount of days in which the sun has risen has occurred, the probability will not exactly be one. Ludwig Wittgenstein, Austrian-British philosopher who worked primarily in logic and philosophy of mathematics, said, “It is an hypothesis that the sun will rise tomorrow: and this means that we do not know whether it will rise.” Although we may reasonably argue that the earth while rise tomorrow to a 99.99999999% chance, there still is that 0.000000001 which states that it would not in fact rise.

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Linear Equations w/ Distribution 2
(5y−1)=28

Answers

Answer:

29/5 or 5.8

Step-by-step explanation

First, we put the 1 on the other side which turns it positive 5y=29

Then, we divide 29 by 5 which gives us 29/5 which is equal to 5.8

hello! please help me with this, it’s due tomorrow (picture)

Answers

Answer:

[tex]\frac{8}{b^{30} }[/tex]

Step-by-step explanation:

Start within the parentheses

1. Divide coefficients

6/3 = 2

2. Divide variables

When dividing exponents with the same base, in this case b, you subtract.

b^20 - b^30 = b^-10

3. Exponent outside parentheses

When there's an exponent on an exponent, you multiply the exponents.

(2b^-10)^3

8 b^-30

4. Simplify?

This step isn't necessary, but when you have a negative exponent on a variable, the variable can be put in the denominator with a positive exponent.

8b^-30 can become 8/b^30

Joe ha eaten 4/5 of a pizza. Jane ha eaten 1/4 of a pizza how many time more pizza ha joe eaten then Jane

Answers

By conducting simple mathematical operations, we know that Joe eats 11/20 times more pizza than Jane.

What are mathematical operations?

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

We can recall the PEMDAS steps in the following order: parentheses, exponents, multiplication, and division (from Left to right), addition, and subtraction (from left to right).

So, we know that:

Jow eats 4/5 of the pizza.

Jane eats 1/4 of the pizza.

Times Joe eats more pizza than Jane:

4/5 - 1/4

4(4) - 5(1)/20

16 - 5/20

11/20

Therefore, by conducting simple mathematical operations, we know that Joe eats 11/20 times more pizza than Jane.

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Leonardo put a $600 ring on layaway by making a 10% down payment and agreeing to pay $65 a week. How many weeks will it take leonardo to pay off the ring?.

Answers

It will take approx. 8.3 weeks to completely pay the remaining amount after the down payment.

Given, Leonardo put a $600 ring on layaway by making a 10% down payment and agreeing to pay $65 a week.

So, he made a down payment of 10% of $600 i.e. $60

remaining amount to pay be,

600 - 60 = 540

Let he will take x weeks to pay the remaining amount.

Now, if he pay $65 per week

then, 65x = 540

x = 540/65

x = 8.31

So, it will take approx. 8 - 9 weeks to completely pay the remaining amount after the down payment.

Hence, it will take approx. 8.3 weeks to completely pay the remaining amount after the down payment.

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Answer:

9 weeks

Step by step explanation:

It’s right.

A line through (7, 1) and (4, 8) is parallel to the line through (2, x) and (x,-2). What is the value of x? ​

Answers

After solving the equation the value obtained for x will be equal to 5.

What is the slope?

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the given information in the question,

The equation of the line passing through the given coordinates will be,

m = (y2 - y1)/(x2 - x1)

The given points are (7, 1) and (4, 8)

Then,

(8 - 1)/(4 - 7) = -7/3

Slope of the line passing through the points (2, x) and (x, -2) then,

(-2 - x)/(x - 2)

Now, we have -7/3 = [tex]-\frac{2+x}{x-2}[/tex]

7x - 14 = 6 + 3x

4x = 20

x = 5

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Tom bought a bag full of coal. After one week the bag was 2 3 full. During the next week he used 1 4 of the remaining coal. What fraction was left in the bag?.

Answers

We conclude that there is zero (0) fraction of coal left in the bag with Tom.

What are fractions?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

The number is represented mathematically as a quotient, where the numerator and denominator are split.

Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

The numerator of a proper fraction is less than the denominator.

So, a fraction of coal left in the bag:

After 1 week the was 2/3 full. So, we have:

1 - 2/3 = 1/3

Next week, he used the remaining 1/3 coal. Now, we have:

1/3 - 1/3 = 0/0

Therefore, we conclude that there is zero (0) fraction of coal left in the bag with Tom.

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Correct question:
Tom bought a bag full of coal. After one week the bag was 2/3 full. During the next week, he used 1/3 of the remaining coal. What fraction was left in the bag?

When selecting from unbiased estimators, an estimator with small bias may be preferred over the minimum variance unbiased estimator when the variance of the estimator with bias is less than for the MVUE

Answers

yess it is true because of unbiased estimator

what is variance?

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean when the data are more dispersed

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14. Ronny is taking a jar with 50 dimes and
quarters to CoinMaster to redeem for dollar
bills. The total value of his jar is $8.
a. Write a system of equations to represent the
number of quarters, q, and the number of
dimes, d, in the jar.
b. Solve the system to determine the number of
quarters and dimes in the jar.

Answers

The system of equations to represent the

number of quarters, q, and the number of

dimes, d, in the jar is

d + q = 50

0.10d + 0.25q = 8

The number of quarters and dimes in the jar is 20 and 30 respectively.

How to determine the number of quarters and dimes?

Let

number of quarters = qthe number of dimes = d

d + q = 50

0.10d + 0.25q = 8

From (1)

d = 50 - q

Substitute into equation (2)

0.10d + 0.25q = 8

0.10(50 - q) + 0.25q = 8

5 - 0.10q + 0.25q = 8

- 0.10q + 0.25q = 8 - 5

0.15q = 3

divide both sides by 0.15

q = 3/0.15

q = 20

Substitute q = 20 into (1)

d + q = 50

d + 20 = 50

d = 50 - 20

d = 30

In conclusion, the given situation can be solved using simultaneous equation where number of dimes and quarters are 30 and 20 respectively.

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Compare and contrast the prehistoric wall painting with that of the ancient arts. the nurse is planning the comprehensive head-to-toe assessment of a client. what assessment should the nurse usually conduct last? What process uses CO2 from the atmosphere? What organisms carry out that process? In triangle ABC, AB=10, BC=8, and angle B=30. In triangle KLJ, LJ=20, JK=16, and angle L=30. State whether the triangles are similar by choosing the correct postulate or theorem below.AASSSSASNot Similar if a stock's market price exceeds its intrinsic value as seen by the marginal investor, then the investor will sell the stock until its price has fallen to the level of the investor's estimate of the intrinsic value. A waterfall has a height of 1000 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. Theheight, h, of the pebble after t seconds is given by the equation h=-161 +16t+1000. How long after the pebble is thrown will it hit theground? Use a graphing calculator to solve the problem.seconds after it is thrown.The pebble will hit the ground about(Round to one decimal place as needed.) who has decision-making power, agenda-setting power, and ideological power relative to abortion laws what is the molecular compound name for hydrazine, n2h4? multiple choice question. a) trinitrogen pentahydride b) dinitrogen hydride c) dinitrogen tetrahydride d) trinitrogen quatrohydride Find the area of the circle to the nearest hundredth if the diameter =15cm michael tomasello emphasizes what beneficial aspect of language development between parents and young children? the average resting heart rate for all college students in the u.s. is 70 beats per minute (bpm). the resting heart rate isgenerally lower in physically fit people and higher in those who are not fit. researchers at the student health service at texas a A function's graph is shown below.If you would like to enlarge the graph or marks numbers and letters easier to read, you may click on it to open it in a new window. You may then enlarge that window with your mouse. To further enlarge the image, use your browser's zoom capabilities. On a PC this is usually ctrl shift + fand zooming out is ctrl -). On an Apple computer this is usually apple shift + (and zooming out is apple - ).Use interval notation or set notation to answer the following questions.The domain of this function is _____The range of this function is _____ 4.) numbers is a game in which you bet $1 on any 3-digit number from 000 to 999. if your number comes up, you get $500. find the expected payback. the pka for acetic acid is 4.75. if you have a solution containing 0.25 m acetate and 0.075 m acetic acid, what is its ph? Creating compelling visuals for presentations requires people to learn what new tools?. A projectile of mass 0.213 kg is shot from a cannon. The end of the cannons barrel is at height 6.5 m, as shown in the figure. The initial velocity vi of the projectile has a horizontal component of 7.5 m/s.The projectile rises to a maximum height of y above the end of the cannons barrel and strikes the ground a horizontal distance x past the end of the cannons barrelDetermine the time it takes for the pro- jectile to reach its maximum height. The acceleration of gravity is 9.8 m/s2 .Answer in units of s. part 2 How long does it take the projectile to hit the ground?Answer in units of s.part 3 What is the horizontal range x of the shot? Answer in units of m.this is physics What mode of transportation is limited to specialized products such as liquids and gases?. A friend asks you how much pressure is in your car tires. You know that the tire manufacturer recommends 30 psi, but its been a while since youve checked. You cant find a tire gauge in the car, but you just finished taking physics and so you tell your friend, "I dont know, but I can figure it out." From the owners manual you find that the cars mass is 1700 kg . It It seems reasonable to assume that each tire supports one-fourth of the weight. Using a ruler, you find that the tires are 16 cm wide and the flattened bottom segment of the tire is 15 cm long. Your observation of the tire tread pattern suggests that two-thirds of this segment is in actual contact with the road.What answerin psiwill you give your friend? A 0.260 kg potato is tied to a string with length 2.50 m, and the other end of the string is tied to a rigid support. The potato is held straight out horizontally from the point of support, with the string pulled taut, and is then released.A) What is the speed of the potato at the lowest point of its motion? let g be = 9.80 m/s^2 how did the music industry cope with the sudden growth of rock and roll in the 1950s? what steps were taken by both independent and major labels to ensure they remained viable in the changing musical climate?