It costs $12. 50 to enter an amusement park and $1. 50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park

Answers

Answer 1

The number of games cole can play $12.5 to enter and $1.5 to play each game  by subtracting and dividing with $35 is 15 games.

The total money cole have is $35

To enter an amusement parks it costs around $12.5

so, remaining money by subtracting = 35-12.5 = $22.5

so, by dividing the remaining money with $1.5 paid per each game gives how many games does cole can play.The number of games cole can play $12.5 to enter and $1.5 to play each game  by subtracting and dividing with $35 is 15 games. By dividing the remaining money with $1.5 paid per each game gives how many games does cole can play. Total number of games does cole can play is 22.5/1.5 = 14 games.

Therefore , the number of games cole can play are 14 games exactly.

Learn more about subtracting here:

https://brainly.com/question/2346316

#SPJ4


Related Questions

Hazma’s Logo wants to create a bumper sticker with his design.
Bumper stickers usually have a height of 3 1/2 inches.
What will the width of his sticker be?

Answers

The width of the sticker will be  8 3/4 inches.

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The given logo has a height of 2 inches and a width of 5 inches.

Bumper stickers usually have a height of 3 1/2 inches which has a

= (7/2)/2 = 7/4 scale factor.

Therefore, The width of the sticker will be,

= 5×(7/4).

= 35/4.

= 8 3/4 iches.

learn more about scale factors here :

https://brainly.com/question/29262154

#SPJ1

Five items x increased by5gives55

Answers

Answer:

x=10

Step-by-step explanation:

5x+5=55

5x=55-5

5x=50

x=10

hth

the sum of squared errors (deviations) is 20 for a sample of 5 scores. what is the variance for this sample?

Answers

The variance for this sample of 5 scores with the sum of squared errors (deviations)  20 is 5.

Variance is a measure of the spread of the data around the mean. It can be calculated from the sum of squared deviations (SSE) as follows:

Variance = SSE / (n - 1)

where n is the number of scores in the sample.

In this case, n = 5 and SSE = 20, so the variance is:

Variance = 20 / (5 - 1) = 20 / 4 = 5

So the variance for this sample is "5".

You can learn more about variance at

https://brainly.com/question/28426562

#SPJ4

3/5x - 1/3x = 4 find x

Answers

Answer:

x = 15

Step-by-step explanation:

3/5x - 1/3x = 4

9/15x - 5/15x = 4

4/15x = 4

x = 15

How much fencing does she need?

Answers

Answer: 24 feet

Step-by-step explanation:

Perimeter: 2(length+width)

2(7+5)

14+10=24

Determining class width. Below are some pieces of information you may need to help you compute a class width. Using the formula introduced in class, please find the class width. EXPLAIN how you arrived at your answer, and write your answer below.

Number of desired classes: 5
Largest value in the dataset: 273
Smallest number in the dataset: 17
Number of data in the data set: 84​

Answers

Answer
5-3x
From this you add
5-3x+6

Dennis is 55 5/6 inches tall. Dwight is 1 1/3 inches shorter than Dennis and Jane is 1 1/4 inches shorter than Dwight. How tall is Jane?

Answers

Answer:

53 1/4

Step-by-step explanation:

55 5/6  - 1 1/3 - 1 1/4  Rewrite with a common denominator

55 10/12 - 1 4/12 - 1 3/12

55 10/12 - 1 4/12 = 54 6/12

54 6/12 - 1 3/12

53 3/12

53 1/4

a tent has the shape pictured below, where the cross sections are triangles. (the height of each triangle is equal to the base for that triangle.) what is the interior volume of the tent? (all distances are in feet.)

Answers

The interior volume of the tent where the cross sections are triangles is given is 120ft³.

There are two cross sectional triangles

The  one smaller triangle with the height and base of 2ft

The other bigger triangle has a base and height of 4 ft

And the total length of the Tent is given as 6 ft.

Therefore,

Area of smaller triangle = 2 x 2 = 4m²

Area of bigger triangle = 4 x 4 = 16 ft²

So the Volume of the tent is given by ,

Total length x (Area of smaller triangle + Area of bigger triangle)

= 6 x ( 4 + 16 )

=6 x ( 20 )

= 120 ft ³

A measurement of three-dimensional space is volume.  Numerous imperial or US customary units, as well as SI-derived units (such the cubic metre and litre), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The capacity of a container is typically regarded to be its volume.

Learn more about Volume:

https://brainly.com/question/29280067

#SPJ4

Use common logarithms to approximate log9 72 to four decimal places. (Show your common

log and your answer).

Answers

log9 72 to four decimal places is 2.8594

To approximate log9 72 using common logarithms, we can use logarithmic properties and logarithmic tables.

First, we can rewrite 72 as [tex]9^3[/tex] to find the exponent that gives us 72:

log9 72 = log9 ([tex]9^3[/tex]) = 3

Now, we can use logarithmic tables or a calculator to find the common logarithm of 9, which is 0.954243:

log10 9 = 0.954243

Finally, we can divide the result by the common logarithm of 10 to find the logarithm to base 9:

log9 72 = (1/log10 9) * log10 72 = 0.954243 * log10 72 ≈ 2.859437

log9 72 to four decimal places is 2.8594.

To learn more about logarithmic properties:

https://brainly.com/question/30339791

#SPJ4

from a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. how many different committees are possible if (a) 2 of the men refuse to serve together?

Answers

The total number of different committees possible is 6 * 3 * 2 * 56 = 3456.

If 2 of the men refuse to serve together, then we have to choose the first man for the committee first and then choose the other two men one by one, making sure that the two men who refuse to serve together are not chosen together.

There are 6 possible choices for the first man. After the first man is chosen, there are 4 remaining men, and we have to choose 2 more men from these 4. However, one of these 2 men must be the one who refused to serve with the first man. So, there are only 3 possible choices for the second man. After the second man is chosen, there are only 2 possible choices for the third man.

Next, we have to choose 3 women from 8. There are C(8,3) = 56 ways to do this.

So, the total number of different committees possible is 6 * 3 * 2 * 56 = 3456.

To learn more about the number, visit:

brainly.com/question/17429689

#SPJ4

The total number of different committees possible is 6 * 3 * 2 * 56 = 3456.

If 2 of the men refuse to serve together, then we have to choose the first man for the committee first and then choose the other two men one by one, making sure that the two men who refuse to serve together are not chosen together.

There are 6 possible choices for the first man. After the first man is chosen, there are 4 remaining men, and we have to choose 2 more men from these 4. However, one of these 2 men must be the one who refused to serve with the first man. So, there are only 3 possible choices for the second man. After the second man is chosen, there are only 2 possible choices for the third man.

Next, we have to choose 3 women from 8. There are C(8,3) = 56 ways to do this.

So, the total number of different committees possible is 6 * 3 * 2 * 56 = 3456.

To learn more about Number

brainly.com/question/17429689

#SPJ4

What is 333333+(5+6)-657-(564-3)

Answers

Answer:

332126

Step-by-step explanation:

333333+(5+6)-657-(564-3)=332126

A medical clinic is randomly selecting three staff members to attend a conference. The clinic employees include 7 nurses, 3 doctors, and 4 office staff. What is the probability that three nurses are selected to attend the conference?

0.10
0.13
0.42
0.50

Answers

Answer:

50%

Step-by-step explanation:

7 nurses

3 doctors

4 offices

14 in total

7/14 or 50% is the probability

Answer:

0.50

Step-by-step explanation:

[tex]7 + 3 + 4 = 14[/tex]

So, the probability that the nurses are selected to attend the conference is,

[tex] \frac{7}{14} = \frac{1}{2} [/tex]

[tex] \frac{1}{2} = 0.50[/tex]

PLEASE HELP TIME LIMIT - 100 POINTS


Use Graph For Reference

Answers

The line of best fit gives a general outlook on the data while the correlation is the exact points showcased to calculate or show for a data set or table.

How to explain the information

It should be noted that between the two variables it is a positive correlation because they both increase in the same direction.  

Positive correlation is a relationship between two variables in which both variables move in tandem that is, in the same direction.

In order to find the residual one would subtract the predicted value from the measured value.

The diagram is attached.

Learn more about line of best fit on:

https://brainly.com/question/17261411

#SPJ1

David's school is more than 8. 5 miles from his house. Let x represent the distance between David's house and school

Answers

The distance between David's house and school is definitely greater than 8.5miles as his school is more than 8.5 miles.

The answer must not be 8 , because as David stays 8.5 miles distance more from his school. An Inequality for a is a>8.5.

The illustration of two expressions by inequal symbol is known as inequality mathematical statement in algebra. It has non equal expressions on both sides. The inequality shows the values on the left side should be bigger or smaller than the expression on the right. The relationships between two algebraic expressions that are expressed using inequality symbols are literal inequalities. An algebraic expression is an expression built up from constant algebraic variables, numbers and the operators.

So the distance between David's house and school must be the value greater than 8.5

Learn more about distance here:

https://brainly.com/question/15172156

#SPJ4

if l is parallel to m find x

Answers

The correct answer fort parallel angles is x = 33° and y = 10°.

What is an example of a similar angle?

The angles created when a transversal intersects two parallel lines are known as corresponding angles. Opening and shutting a lunchbox, completing a Rubik's cube, and an infinite stretch of parallel train lines are common examples of identical angles.

Angle 3y + 20° and angle 5y are parallel angles.

3y + 20° = 5y

2y =  20°

y = 10°

Angles 2x - 16° and 3y + 20° are in direct opposition to one another.

3y + 20° =  2x - 16°

Put the value of angle y in the equation.

3(10) + 20 = 2x - 16

30 + 20 = 2x - 16

50 = 2x - 16

2x = 66

x = 33

As a result, the angles are 33° for x and 10° for y.

To know more about parallel angles visit:-

https://brainly.com/question/7849620

#SPJ1

Question:

Find the value of x for which l is parallel to m. The diagram is not to scale. Lines l and m are parallel.

Which expression is equivalent to this expression?

3/4(4h – 6)

Answers

The equivalent expression is 12h - 18/4

How to determine the equivalent expression

It is important to note that algebraic expressions are mathematical expression comprising of factors, constants, coefficients, variables and terms.

These algebraic expressions are also known to be made up of mathematical to arithmetic operations, such as;

Floor divisionSubtractionAdditionDivisionBracketParenthesesMultiplication

From the information given, we have that;

3/4(4h – 6)

To simply this, we need to expand the bracket, we get;

12h - 18/4

Hence, the expression is 12h - 18/4

Learn about algebraic expressions on:

https://brainly.com/question/4344214

#SPJ1

voter sentiment: one of the questions rasmussen reports included on a 2018 survey of 2.500 likely voters asked if the country is headed in the right direction. representative data are shown in the file rightdirection. a response of yes indicates that the respondent does think the country is headed in the right direction. a response of no indicates that the respondent does not think the country is headed in the right direction. respondents may also give a response of not sure. a. what is the point estimate of the proportion of the population of likely voters who do think that the country is headed in the right direction? b. at 95% confidence, what is the margin of error? c. what is the 95% confidence interval for the proportion of likely voters who do think that the country is headed in the right direction? d. what is the 95% confidence interval for the proportion of likely voters who do not think that the country is headed in the right direction? e. which of the confidence intervals in parts c and d has the smaller margin of error? why?

Answers

Margin of Error is 0.0245, 0.8209 <= p <= 0.8264 and CI in (C) is 0.1291 to 0.1781 and in (d) is 0.8209 to 0.8264.

(a) The point estimate of the proportion of the population of respondents who do think that the country is headed in the right direction is 384 / 2500 = 0.1536.

(b) To find the margin of error for the proportion, we use the formula:

ME = 1.96 * sqrt(p * (1 - p) / n), where p is the point estimate and n is the sample size.

ME = 1.96 * sqrt(0.1536 * (1 - 0.1536) / 2500) = 0.0245

(c) The 95% confidence interval for the proportion of respondents who do think that the country is headed in the right direction is:

0.1536 - 0.0245 <= p <= 0.1536 + 0.0245

0.1291 <= p <= 0.1781

(d) To find the 95% confidence interval for the proportion of respondents who do not think that the country is headed in the right direction, we subtract the proportion from 1:

1 - 0.1536 - 0.0245 <= p <= 1 - 0.1536 + 0.0245

0.8209 <= p <= 0.8264

(e) The confidence interval in part (c) has a smaller margin of error because the sample proportion of respondents who do think that the country is headed in the right direction is closer to 0.5 (the midpoint of the interval) than the sample proportion of respondents who do not think that the country is headed in the right direction.

Confidence interval in part (c): 0.1291 to 0.1781

Confidence interval in part (d): 0.8209 to 0.8264

Therefore, Margin of Error is 0.0245, 0.8209 <= p <= 0.8264 and CI in (C) is 0.1291 to 0.1781 and in (d) is 0.8209 to 0.8264.

To learn more about Confidence interval,

Visit; brainly.com/question/24131141

#SPJ4

Margin of Error is 0.0245, 0.8209 <= p <= 0.8264 and CI in (C) is 0.1291 to 0.1781 and in (d) is 0.8209 to 0.8264.

(a) The point estimate of the proportion of the population of respondents who do think that the country is headed in the right direction is 384 / 2500 = 0.1536.

(b) To find the margin of error for the proportion, we use the formula:

ME = 1.96 * sqrt(p * (1 - p) / n), where p is the point estimate and n is the sample size.

ME = 1.96 * sqrt(0.1536 * (1 - 0.1536) / 2500) = 0.0245

(c) The 95% confidence interval for the proportion of respondents who do think that the country is headed in the right direction is:

0.1536 - 0.0245 <= p <= 0.1536 + 0.0245

0.1291 <= p <= 0.1781

(d) To find the 95% confidence interval for the proportion of respondents who do not think that the country is headed in the right direction, we subtract the proportion from 1:

1 - 0.1536 - 0.0245 <= p <= 1 - 0.1536 + 0.0245

0.8209 <= p <= 0.8264

(e) The confidence interval in part (c) has a smaller margin of error because the sample proportion of respondents who do think that the country is headed in the right direction is closer to 0.5 (the midpoint of the interval) than the sample proportion of respondents who do not think that the country is headed in the right direction.

Confidence interval in part (c): 0.1291 to 0.1781

Confidence interval in part (d): 0.8209 to 0.8264

Therefore, Margin of Error is 0.0245, 0.8209 <= p <= 0.8264 and CI in (C) is 0.1291 to 0.1781 and in (d) is 0.8209 to 0.8264.

To learn more about Confidence interval,

brainly.com/question/24131141

#SPJ4

in fall 2020, the department has a cohort of 100 mds juniors. students in the class are enrolled in various classes including stor 435 (undergraduate probability), math 547 (linear algebra for applications) and comp 401 (foundations of programming). to simplify notation below i will denote these as prob., la and comp. assume the classes are not taught at the same time so there can be students who are taking all 3 courses. further there can also be students who are taking none of these 3 courses. 65 of these students are in prob, 45 in la and 40 in comp. there are 25 students that are in both prob. and comp, 20 that are in both la and comp, and 30 that are in both prob. and la. in addition, there are 10 students taking all 3 classes. how many students are taking none of the classes? (you can use venn diagrams for this problem.)

Answers

30 students are taking none of the classes.

We can use the Principle of Inclusion-Exclusion (PIE) to determine the number of students taking none of the classes. The PIE states that the total number of elements in the union of several sets is equal to the sum of elements in each set, minus the sum of elements in the pairwise intersections, plus the sum of elements in the three-way intersections, and so on.

In this case, we want to find the number of students taking none of the classes, which is equal to the total number of students (100) minus the number of students taking at least one class.

So, we can apply PIE as follows:

students taking none of the classes = 100 - (students in prob. + students in la + students in comp - students in prob. & comp - students in la & comp - students in prob. & la + students in prob., comp & la)

Using the given information, we have:

students taking none of the classes = 100 - (65 + 45 + 40 - 25 - 20 - 30 + 10)

students taking none of the classes = 100 - (95 - 25)

students taking none of the classes = 100 - 70

students taking none of the classes = 30

Hence, 30 students are taking none of the classes.

To learn more about intersection visit: brainly.com/question/28337869

#SPJ4

30 students are taking none of the classes.

We can use the Principle of Inclusion-Exclusion (PIE) to determine the number of students taking none of the classes. The PIE states that the total number of elements in the union of several sets is equal to the sum of elements in each set, minus the sum of elements in the pairwise intersections, plus the sum of elements in the three-way intersections, and so on.

In this case, we want to find the number of students taking none of the classes, which is equal to the total number of students (100) minus the number of students taking at least one class.

So, we can apply PIE as follows:

students taking none of the classes = 100 - (students in prob. + students in la + students in comp - students in prob. & comp - students in la & comp - students in prob. & la + students in prob., comp & la)

Using the given information, we have:

students taking none of the classes = 100 - (65 + 45 + 40 - 25 - 20 - 30 + 10)

students taking none of the classes = 100 - (95 - 25)

students taking none of the classes = 100 - 70

students taking none of the classes = 30

Hence, 30 students are taking none of the classes.

To learn more about Intersection

brainly.com/question/28337869

#SPJ4

Which system of equations is represented by this graph?

Answers

The system of equations is given by: y = -2/5x +2 and y = -3x - 4.

How is a three-way system of equations solved?

Choose two equation pairs at random from the system. Apply the Addition/Subtraction technique to each pair to remove the same variable. Use the Addition/Subtraction method to solve the two new equations as a system. Reintroduce the solution into one of the original equations and find the third variable there.

equations  is:-

y = -2/5x +2 and y = -3x - 4.

when x=0

y= -2/5(0) +2 = 2

y  = -3(0) - 4= 4

when y=0

0= -2/5x +2

x=.80

0= -3x - 4

x=13.33

so from the above value we come to conclusion that system of equations is given by: y = -2/5x +2 and y = -3x - 4.

To know more about equations visit:-

https://brainly.com/question/12862998

#SPJ1

Let P and Q be equivalent propositional forms. Explain why P ↔ Q is a tautology. Hint: it might be helpful to consider truth tables for a simple example like P = (~ R) VT and Q = ~ (R^(~T)). However you must argue in general, not just for a specific example. =N

Answers

P ↔ Q is a tautology because if P and Q are equivalent propositional forms, they have the same truth value in every possible interpretation, making the bi-conditional proposition P ↔ Q always true.

A tautology is a proposition that is always true, regardless of the truth values of its component propositions.

When two propositions, P and Q, are equivalent, it means that they have the same truth value in every possible interpretation. That is, P and Q are logically equivalent.

Therefore, if P and Q are equivalent propositional forms, then P ↔ Q, the bi-conditional proposition, is a tautology. This is because the truth value of P ↔ Q will always be true, as both P and Q have the same truth value in every possible interpretation.

This can be shown through the truth table for P ↔ Q. The bi-conditional proposition is true if and only if both P and Q have the same truth value. If P and Q are equivalent, then they will always have the same truth value, and so P ↔ Q will always be true.

In general, for any equivalent propositions P and Q, P ↔ Q will always be a tautology.

To learn more about the equivalent propositional, visit:

brainly.com/question/14811926

#SPJ4

dried apricots with 3.25 were mixed with dried prunes worth 4.79 to produce a mixture of dried fruit, how much each kind of fruit was used to produce 25 ponds

Answers

14.84 pounds of dried apricots were used and 10.16 pounds of dried prunes were used to produce 25 pounds of the dried fruit mixture.

Let's call the weight of dried apricots used in the mixture "x" (in pounds). Then the weight of dried prunes used in the mixture is 25 - x (in pounds).

The cost per pound of dried apricots is 3.25, and the cost per pound of dried prunes is 4.79. So the total cost of the mixture is:

3.25x + 4.79(25 - x) = 3.25x + 119.75 - 4.79x

Expanding both sides:

119.75 = 8.04x

Dividing both sides by 8.04:

x = 14.84 pounds

So 14.84 pounds of dried apricots were used in the mixture, and 25 - 14.84 = 10.16 pounds of dried prunes were used in the mixture.

To learn more about the Cost, visit:

brainly.com/question/29136200

#SPJ4

14.84 pounds of dried apricots were used and 10.16 pounds of dried prunes were used to produce 25 pounds of the dried fruit mixture.

Let's call the weight of dried apricots used in the mixture "x" (in pounds). Then the weight of dried prunes used in the mixture is 25 - x (in pounds).

The cost per pound of dried apricots is 3.25, and the cost per pound of dried prunes is 4.79. So the total cost of the mixture is:

3.25x + 4.79(25 - x) = 3.25x + 119.75 - 4.79x

Expanding both sides:

119.75 = 8.04x

Dividing both sides by 8.04:

x = 14.84 pounds

So 14.84 pounds of dried apricots were used in the mixture, and 25 - 14.84 = 10.16 pounds of dried prunes were used in the mixture.

To learn more about Cost

brainly.com/question/29136200

#SPJ4

(a) (5 pts) prove the following identity: n 1 log n = 2

Answers

This proof by induction shows that n + 1 log n = 2 for all positive integers n. This holds true since S(1) = 2, and S(k + 1) = 2 for any integer k ≥ 1.

Proof:

Let S(n) = n + 1 log n

We will prove S(n) = 2 by induction.

Base Case:

Let n = 1. Then S(1) = 1 + 1(log 1) = 1 + 0 = 1 = 2.

Inductive Step:

Assume S(k) = 2 for some arbitrary integer k ≥ 1. We must show that S(k + 1) = 2.

S(k + 1) = (k + 1) + 1(log(k + 1))

= k + 1 + 1(log k + log 1)

= k + 1 + 1(log k + 0)

= k + 1 + 1(log k)

= k + 1 + log k

= 2 + log k

= 2 (by induction hypothesis)

Therefore, S(n) = 2 for all positive integers n.

This proof by induction shows that n + 1 log n = 2 for all positive integers n. This holds true since S(1) = 2, and S(k + 1) = 2 for any integer k ≥ 1.

Learn more about integer here

https://brainly.com/question/15276410

#SPJ4

A car travels from X to Y at an average speed of 60km/h and returns to X at a speed of 40kph. What is its average speed for the whole journey?

Answers

The average speed of the whole journey is 24 kilometres per hour.

How to find the average speed of the journey?

The average speed is the total distance travelled by the object in a particular time interval.

A car travels from X to Y at an average speed of 60km/h and returns to X at a speed of 40km/h.

Therefore, the average speed for the whole journey can be calculated as follows:

The total distance travelled is 120 km.

Hence,

total time = 120 / 60 + 120 / 40

total time = 2 + 3 = 5 hours

Therefore,

average speed = total distance / total time taken

average speed = 120 / 5

average speed = 24 km/hr

learn more on average speed here: https://brainly.com/question/29798030

#SPJ1

eval calculates an expression and puts the resulting ____ into a new or existing field.

Answers

Eval is a function that evaluates an expression and puts the resulting value into a new or existing field.

To calculate the value of an expression using Eval, you must use the correct syntax. The syntax for Eval is Eval(expression, optional_parameter). The expression can take the form of a mathematical equation or a logical expression. For example, if you wanted to calculate the sum of two numbers, you would use the following expression: Eval(A + B). The optional parameter allows you to specify a range of values to evaluate the expression against.

For example, if you wanted to calculate the sum of two numbers within a given range, you would use the following expression: Eval(A + B, range). The range parameter can be used to specify the starting and ending values that the expression should be evaluated against.

Using Eval to calculate an expression is a useful tool for quickly getting the desired value. It is also useful for quickly testing the accuracy of a complex expression before implementing it in your code.

Learn more about range parameter here:

https://brainly.com/question/30096767

#SPJ4

What is a fundamental solution in differential equations?

Answers

The coefficients in the linear combination are determined by the initial or boundary conditions of the problem.

What is the differential equations?

A differential equation is an equation that relates an unknown function to its derivatives. It describes the behavior of a physical, biological, or engineering system in terms of changes in variables over time.

A fundamental solution in differential equations is a particular solution to a differential equation that contains arbitrary constants. It is called "fundamental" because it is a building block for constructing more general solutions to the equation. The general solution to a differential equation can be found by adding a linear combination of several fundamental solutions. The coefficients in the linear combination are determined by the initial or boundary conditions of the problem.

To learn more about differential equations, Visit

https://brainly.com/question/1164377

#SPJ4

There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there?

Answers

Answer:

There are 5 ducks

Step-by-step explanation:

2 ducks behind

1 duck in the middle

2 ducks infront

using the squeeze theorem to find the limit of (xy^4)/(x^4 y^4)

Answers

The limit of (xy⁴)/(x⁴y⁴) is 0.

The limit squeeze theorem (also known as sandwich theorem) states that if a function f(x) lies between two functions g(x) and h(x) and the limits of each of g(x) and h(x) at a particular point are equal (to L), then the limit of f(x) at that point is also equal to L. This looks something like what we know already in algebra. If a ≤ b ≤ c and a = c then b is also equal to c. The squeeze theorem says that this rule applies to limits as well. We define the squeeze theorem mathematically as follows:

"Let f(x), g(x), and h(x) are three functions that are defined over an interval I such that g(x) ≤ f(x) ≤ h(x) and suppose lim ₓ → ₐ g(x) = lim ₓ → ₐ h(x) = L, then lim ₓ → ₐ f(x) = L".

Here:

The function f lies between g and h and hence they are lower and upper bounds of f respectively.

'a' doesn't necessarily need to be within I.

We have to find the limit of (xy⁴)/(x⁴y⁴).

After applying the limit squeeze theorem, we get

[tex]\lim_{x \to \infty} \frac{xy^{4} }{x^{4}y^{4} }\\ = \lim_{x \to \infty} \frac{1}{x^{3} } \\= 0[/tex]

Thus, the limit of (xy⁴)/(x⁴y⁴) is 0.

To learn more about limits, visit brainly.com/question/8533149

#SPJ4

Ahmad owes $382. 45 on his Visa account. He returns two items costing $25. 10 & $34. 50 for credit. Then he makes purchases of $45 & $98. 17.


A) how much should his payment be if he wants to pay off the balance on the account?

B) Instead of paying off the balance, he makes a payment of $300 and then incurs a finance charge of $24. 66. What is the balance on his account?

Answers

By applying the debt concept, it can be concluded that:

A. He should pay $466.02 to pay off the balance on the account.

B. The balance on his account is $190.68

Debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor.

We have the following information:

Ahmad owes $382.45, and because he owes, it means this value is the debt, and we write it:

D = $382.45

Then he returns two items ($25. 10 & $34. 50) so that their values get credited into his accounts.

D = $382.45 - $25.10 - $34.50 = $322.85

Now after this, he makes another two purchases of $45 and $98.17, which increase his debt and makes:

D = $322.85 + $45 + $98.17 = $466.02

Part A: Since the debt or the account balance is $466.02, then he should pay $466.02 to pay off the balance on the account.

Part B: However, instead of paying off the balance, Ahmed makes a payment of $300 and he has to be charged $24.66. It means that his debt is not paid off:

D = $466.02 - $300 + $24.66 = $190.68

So, the balance on his account is $190.68.

To learn more about debt, click here: https://brainly.com/question/29616806

#SPJ4

Which of the following would be classified as categoricalâdata?
Choose the correct answer below.
Hair color
Number of suitcases on a plane
Tree height
Amount of rainfall

Answers

Categorical data is data that can be divided into different categories. Examples of categorical data include hair color, number of suitcases on a plane, tree height, and amount of rainfall.

Hair color would be classified as categorical data because it can be divided into categories such as black, brown, blonde, and red. Number of suitcases on a plane would also be classified as categorical data because the amount of suitcases can be divided into categories such as 0, 1, 2, 3, etc. Tree height would be classified as categorical data as it can be divided into categories such as small, medium, and large. Amount of rainfall would also be classified as categorical data as it can be divided into categories such as light rainfall, moderate rainfall, and heavy rainfall.

Learn more about  Total Amount here:

https://brainly.com/question/26082270

#SPJ4

add parentheses to the regular expression to remember the street number (which is: 613) and apartment number (which is: apt 57), but not remember the street name.

Answers

Adding parentheses to a regular expression can be used to capture specific information, such as the street number and apartment number in this example.

A regular expression is a pattern used to match and search for specific strings. To remember the street number "613" and apartment number "apt 57" but not the street name, we can add parentheses to the regular expression to create capturing groups. The parentheses will capture the desired information and allow us to reference it later if needed.

The regular expression would look something like this: (613) (apt 57)

The parentheses indicate that the information inside should be captured as a group. This regular expression will match a string that contains the street number "613" and the apartment number "apt 57", and capture these values in two separate groups.

For example, if we have the following address: "613 Main St, apt 57"

We can use the regular expression to match the desired information:

(613) (apt 57)

In this case, the two groups captured are "613" and "apt 57". The information inside the parentheses can be accessed and used for various purposes, such as formatting or validation.

In summary, adding parentheses to a regular expression can be used to capture specific information, such as the street number and apartment number in this example. This allows for more precise and flexible matching and extraction of information from strings.

Therefore, Adding parentheses to a regular expression can be used to capture specific information, such as the street number and apartment number in this example.

To learn more about expressions,

Visit; brainly.com/question/14083225

#SPJ4

Other Questions
which was not an important reason europeans began exploring the oceans in the late 1400s?a.The Pope orderes Europeans to reconquer the Holy Landb.The Renaissance spirit pushed Europeans to explore the ocean.c.The Europeans Wished to find an all-water route to the East Indies.d.Technological innovations borrowed from other cultures made it possible for Europeans to voyage further A small block has constant acceleration as it slides down a frictionless incline. The block is released from rest at the top of the incline, and its speed after it has traveled 6.80 m to the bottom of the incline is 3.80 m/s. What is the speed of the block when it is 3.40 m from the top of the incline? When a count appointed Till Eulenspiegel as a watchman, Eulenspiegel was dejected. He wanted to be a knight. While the knights feasted, Eulenspiegel was left to watch the castle for an enemy. Fed up with the life of a watchman, when an enemy came, Eulenspiegel did not sound the alarm. When the count found out, he defeated the enemy and sent Eulenspiegel back to the watchmans tower without food, while the rest of the knights feasted. How did Eulenspiegel get the food that the knights feasted upon? A. Eulenspiegel went to the count and convinced him to make him (Eulenspiegel) a knight. B. Eulenspiegel tricked the knights out of their food, after winning a game of cards against a knight. C. Eulenspiegel convinced the count to give him some food from the food that the knights were eating. D. Eulenspiegel raised the alarm for an imaginary enemy and while the knights were searching, he ate their food The law of mass action states that _____. what was the treaty of vienna? 1. A GAS STATION IS THE ONLY GAS STATION WITHIN A 50 MILE RADIUS ALONG A REMOTE HIGHWAY.HOW DOES GEOGRAPHY MAKE THIS GAS STATION A MONOPOLY? WHAT DOES THIS MEAN FOR THE FIRM'S PROFITS IN THE LONG-RUN? You should unplug your computer if youA. start it up and the desktop appearsC. are recharging the batteriesfO Search*Save AnswerOB. smell burning or see smoke rising from itD. sense an electrostatic dischargeSPC Blood plasma is slightly _______; if pH drifts out of the normal range, dire consequences can result from alterations in the structure of _______ .A. acidic, glucoseB. acidic, proteinsC. acidic, glycogenD. basic, glucoseE. basic, proteins The college admissions scandal, which is described in the Management in Action case, breaches what level of Carrolls global corporate social responsibility period? A. legalB.economicC.philanthropicD.global The initial activity of Au-198 is 15 mCi; what is the activity in 20 days if its half-value layer is 2.5?A.0.2556 mCiB.0.09036 mCiC.2.8931 mCiD. 2.490 mCi anti-m was detected in a 27-year old man before surgery. units negative for m antigen were not available; however, the units were approved for transfusion when major crossmatch using m n donor cells and patient serum resulted in: if the economy is producing 12 units of guns and 4 units of butter, what is the opportunity cost of increasing the production of butter from 4 units to 11 units? How do we use this percent composition in our daily lives? The peaker begin the poem by tating "I come back to your youth, my Nana" (line 1), but the primary tranformation ought overall i which of the following functions would you use to calculate the arithmetic mean of a price list? a. count b. max c. average d. sum What is the main difference between an action potential in cardiac muscle and skeletal muscle? 1. A pyramid is composed of six isosceles triangles and a hexagonal base. Each isosceles triangle has a height of 8 inches and a base of 6 inches. The area of the hexagonal base is 93.5 square inches.What is the surface area of the pyramid?Enter your answer in the box.2.A child's toy is in the shape of a square pyramid. The pyramid stands 20 inches tall and each side of the base measures 24 inches.Half of the surface area of the pyramid is black and the remainder is yellow.What is the surface area of the toy that is yellow?Enter your answer, rounded to the nearest tenth, in the box.3.A large equilateral triangle pyramid stands in front of the city's cultural center. Each side of the base measures 50 feet and the slant height of each lateral side of the pyramid is 40 feet.A painter can paint 100 square feet of the pyramid in 18 minutes.How long does it take the painter to paint 75% of the pyramid?Enter your answer, rounded to the nearest tenth, in the box. the procedures used in research to ensure that participants are treated fairly and with care are known as Which European state did not maintain standing armies in early modern Europe? What reasonable prediction could bemade about the effect humans mighthave on dinosaurs?