Name a time where the two “hands” of an analog clock would form a right angle. (BONUS: How many times does a right angle form on the clock face each day?)

Answers

Answer 1

There are a total of 2 x 2 = 4 instances where the two "hands" of an analog clock form a Right angle.

The two "hands" of an analog clock form a right angle at two specific times during a 12-hour period. The first occurrence is at 3:15, where the minute hand points to the 3 and the hour hand points to the 9, forming a right angle. The second occurrence is at 9:45, where the minute hand points to the 9 and the hour hand points to the 3, forming another right angle.

To determine how many times a right angle forms on the clock face each day, we need to consider both the AM and PM periods. In a 24-hour day, there are 12 hours in the AM (from 12:00 AM to 11:59 AM) and 12 hours in the PM (from 12:00 PM to 11:59 PM).

For each 12-hour period, there are two instances where the hands form a right angle. Therefore, in a full day, there are a total of 2 x 2 = 4 instances where the two "hands" of an analog clock form a right angle.

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Related Questions

below you are given a partial excel output based on a sample of 16 observations. anova df ss ms f regression 4,853 2,426.5 residual 485.3 coefficients standard error intercept 12.924 4.425 x1 -3.682 2.630 x2 45.216 12.560 the t value obtained from the table that is used to test an individual parameter at the 1% level is . a. 2.921 b. 2.977 c. 2.65 d. 3.012

Answers

To discover the t-value for testing a person parameter at the 1% level, we ought to isolate the coefficient appraise by its standard deviation and compare it to the t-distribution with suitable degrees of flexibility.

For case, to test the parameter gauge for x1, we would calculate the t-value as: t = (-3.682) / 2.630 ≈ -1.4

At that point compare this t-value to the t-distribution with 485 degrees of flexibility (which compares to the leftover degrees of opportunity), and decide on the off chance that it surpasses the basic esteem at the 1% level (which is around 2.977).

In any case, the given yield does not demonstrate which parameter appraise is being tried, so we cannot decide the comparing t-value. Hence, none of the reply choices are rectified.

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Please help I know it’s only 10 points but please

Please help I know its only 10 points but please

Answers

Answer:

The average change is -0.7 per hour.

Step-by-step explanation:

-2.8/4

You know that in 4 hours the temperature change is -2.8degF, so:
4h = -2.8
Where h is hours
You want to find 1 hour so you divide both sides by 4:
h = -0.7

So the answer is -0.7degF

There are 140 pages in a book, 25% of them have pictures. How many pages have pictures?

Answers

Answer:

140 x  

25%=35 or 140/4 = 35

I think-

Step-by-step explanation:

A traffic engineer developed the continuous function R, graphed above, to model the rate at which vehicles pass a certain intersection over an 8-hour time period, where R(t) is measured in vehicles per hour and t is the number of hours after 6:00 AM. According to the model, how many vehicles pass the intersection between time t = 0 and time t = 8? A. 1400 B. 1600 C. 14,400 D. 44,800

Answers

the total area under the curve is 2400.

To find the number of vehicles that pass the intersection between time t = 0 and time t = 8, we need to calculate the definite integral of the function R(t) from t = 0 to t = 8:

∫(0 to 8) R(t) dt

Looking at the graph of R(t), we can see that it consists of two parts: a rectangle with base 2 and height 600, and a triangle with base 6 and height 400. The area of the rectangle is 2 x 600 = 1200, and the area of the triangle is (1/2) x 6 x 400 = 1200. Therefore, the total area under the curve is 2400.

So, the number of vehicles that pass the intersection between time t = 0 and time t = 8 is:

∫(0 to 8) R(t) dt = 2400

Since R(t) is measured in vehicles per hour, this means that 2400 vehicles pass the intersection between time t = 0 and time t = 8. Therefore, the answer is 2400, which is not one of the given answer choices.

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PLEASE Determine the product or quotient.
d) (-3x^3) (4xy)(-2x^2y^2)
e) (-28a^6 / -7a^5)
f) (8z^3)(7z^11)

Answers

Answer:

See below

Step-by-step explanation:

\(d ) (-3x^3) (4xy)(-2x^2y^2),\\3x^3\cdot \:4xy\cdot \:2x^2y^2,\\24x^3x^2xy^2y,\\24yx^6y^2,\\24x^6y^{1+2},\\\\Solution = 24x^6y^3\)

First I removed the ( ) off the " main expression. " Afterwards I multiplied the terms, and through the exponential rule, I added exponents of like terms, simplifying the expression to the solution 24x^6y^3. The rest of these questions are performed in a like manner, so I don't think I need to explain them.

\(e ) (-28a^6 / -7a^5),\\\frac{28a^6}{7a^5},\\\frac{4a^6}{a^5},\\\\4a^{6-5},\\4a,\\\\Solution = 4a\)

____________________________________________

For part f ) can you be a bit more clear on the exponent part. One could say that this expression is ( 8z^3 )( 7z^1 * 1 ) or  ( 8z^3 )( 7z^11 ). You never know, an exponent and a multiplied number can be confused considering that a number next to another is taken to be multiplied. After you confirm the expression I will be happy to change my response!

descompon potencias de 10 a 700

Answers

Answer:

descompon potencias de 10 a 700

Step-by-step explanation:

Simplify this problem for me

Simplify this problem for me

Answers

Answer:

\(\displaystyle E=e^{5x}\)

Step-by-step explanation:

Exponentials

Properties of exponentials:

\(x^ax^b=x^{a+b}\)

\(\frac{x^a}{x^b}=x^{a-b}\)

Simplify:

\(\displaystyle E=\frac{e^{-2}\cdot e^{2x+3}}{e^{1-3x}}\)

Multiplying in the numerator:

\(\displaystyle E=\frac{e^{-2+2x+3}}{e^{1-3x}}=\frac{e^{+2x+1}}{e^{1-3x}}\)

Applying the quotient:

\(\displaystyle E=e^{2x+1-(1-3x)}\)

Operating:

\(\displaystyle E=e^{2x+1-1+3x}\)

Simplifying:

\(\boxed{\displaystyle E=e^{5x}}\)

Sia sells large candles for $3 each and small candles for $2 each. She sold 17 candles for $46.00. How many of each size candle did she sell? 4 small and 13 large candles 5 small and 12 large candles 12 small and 5 large candles 13 small and 4 large candles

Answers

Answer:

The number of large size candles sells are 12 and the number of small size candles are 5 .

Step-by-step explanation:

As given Sia sells large candles for $3 each and small candles for $2 each.She sold 17 candles for $46.00.Let us assume that the large size candle sells are x .Let us assume that the small size candle sells are y.             Equation becomes

x + y = 17

3x + 2y = 46

Multiply x + y = 17 by 3 and subtracted from 3x + 2y = 46 .

3x - 3x + 2y - 3y = 46 - 51

-y = - 5

y = 5

Put in the equation x + y = 17 .

x + 5 = 17

x = 17 - 5

x = 12

Therefore the number of large size candles sells are 12 and the number of small size candles are 5

Can you solve this.

Can you solve this.

Answers

The Perimeter of Square is 24\(j^5\) + 20j.

What is Perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

Given:

Side of Square = 6\(j^5\) + 5j + 0

So, Perimeter of square = 4x side

                                        = 4 x (6\(j^5\) + 5j + 0)

                                        = 24\(j^5\) + 20j

Thus, the Perimeter is 24\(j^5\) + 20j.

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60 POINTS TO QUICKEST AND CORRECT ANSWER!
Let f(x)=2x and g(x)=2x. Graph the functions on the same coordinate plane. What are the solutions to the equation f(x)=g(x) ? Enter your answers in the boxes. x = or x =

Answers

Answer:

x=2

Step-by-step explanation:

Since the are the same equation they are already equal

Answer:

x=2

Step-by-step explanation:

Find the median of these numbers:
15
22
13
24

Find the median of these numbers:15221324

Answers

Answer:16

Step-by-step explanation:

15+22+13+14=64

64:4=16

the median is 64

please give me the best answer i really need it

HELP PLS IM BEING TIMED

A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
O y=-3x+1
Oy-x
O y = -5x – 23
O y = 5x + 27

Answers

Answer:

The correct answer is none.

Step-by-step explanation:

The correct answer is y = -1/5x + 1

To find the equation of the line, start by finding the slope. You can do this by using the slope formula below.

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

m = (2 - -1)/(-5 - 10)

m = 3/-15

m = -1/5

Now that we have the slope, we can use it along with either point in the point-slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = -1/5(x + 5)

y - 2 = -1/5x - 1

y = -1/5x + 1

Answer:

It Should be y= -1/5x + 1 but you have not listed it in your options...

Step-by-step explanation:

n Determine whether the series Σ-1)*-1 (n-1 n2 + 1 converges absolutely, conditionally, or n=1 not at all.

Answers

The series Σ((-1)^(n-1))/(n^2 + 1) does not converge absolutely but converges conditionally.

To determine the convergence of the series Σ((-1)^(n-1))/(n^2 + 1), we can analyze its absolute convergence and conditional convergence.

First, let's consider the absolute convergence. We need to examine the series formed by taking the absolute value of each term: Σ|((-1)^(n-1))/(n^2 + 1)|. Taking the absolute value of (-1)^(n-1) does not change the value of the terms since it is either 1 or -1. So we have Σ(1/(n^2 + 1)).

To test the convergence of this series, we can use the comparison test with the p-series. Since p = 2 > 1, the series Σ(1/(n^2 + 1)) converges. Therefore, the original series Σ((-1)^(n-1))/(n^2 + 1) converges absolutely.

Next, let's examine the conditional convergence by considering the alternating series formed by the terms ((-1)^(n-1))/(n^2 + 1). The terms alternate in sign, and the absolute value of each term decreases as n increases. The alternating series test tells us that this series converges.

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rawing a causal diagram. (a) Draw a causal diagram for the research question ?do long shift hours make doctors give lower-quality care?? that incorporates the following features (and only the following features): i. Long shift hours ( "Long Shift") affect how tired doctors are ("Tiredness") affects the quality of care ("Quality of Care"). ii. How long shifts are is often decided by the characteristics of the hospital the doctor works at ("Hospital Characteristics"). There are plenty of things about a given hospital that also affect the quality of care, like its funding level, how crowded it is, and so on. iii. A new policy that reduces shift times may be implemented at a hospital (assumed to be determined by some unobservable change in policy preferences) but this policy does not affect the quality of care ("Policy"). b) Suppose we have a cross-sectional data set across different hospitals. This data set contains the hospital-level observations about (1) the quality of care ("Quality of Care"), (2) the average shift hours of doctors ("Shift hours"), (3) the survey result on how tired doctors are on average at the hospital, (4) various hospital characteristics ("Hospital Characteristics"), (5) Measurement of a policy that regulates shift-times, which is assumed to be randomly determined ("Policy"). We assume that the causal relationship between shift hours to the quality of care can be described with a linear regression model (In reality, they may be non-linear). 1. Suppose we regress "Quality of Care" on constant and "Shift Hours." Can we estimate the causal effect of changing shift hours on the quality of care? Why or why not? 2. Suppose we regress "Quality of Care" on constant, "Shift Hours," and "Hospital Characteristics." Can we estimate the causal effect of changing shift hours on the quality of care? Why or why not? 3. Suppose we regress "Quality of Care" on constant, "Shift Hours," "Tiredness," and "Hospital Characteristics." Can we estimate the causal effect of changing shift hours on the quality of care? Explain what the estimated coefficients on "Shift Hours" and "Tiredness" represent. 4. Suppose we regress "Quality of Care" on constant and "Policy." Can we estimate the causal effect of changing a shift-hours policy on the quality of care? Why or why not? 5. Suppose we do not observe "Hospital Characteristics" in the data set. Discuss how we can estimate the causal effect of changing the shift hours on the quality of care. [Hint: can we use the instrumental variable estimation?]

Answers

The effect estimation requires more than simple regressions of "Quality of Care" on "Shift Hours" (Part 1) or with "Hospital Characteristics" (Part 2). Including "Tiredness" (Part 3) or using variable (Part 5) is necessary.

To estimate the causal effect of changing shift hours on quality of care, several factors must be considered. Regression analysis with just a constant and "Shift Hours" (Part 1) fails to account for confounding variables, leading to biased estimates. Including "Hospital Characteristics" (Part 2) still overlooks omitted variable bias and endogeneity issues.

However, by adding "Tiredness" to the regression (Part 3), the direct and indirect effects of shift hours on quality of care can be estimated. The coefficient of "Shift Hours" represents the direct causal effect, while the coefficient of "Tiredness" captures the mediating effect. Regressing "Quality of Care" solely on "Policy" (Part 4) neglects confounders.

When "Hospital Characteristics" are unobserved, instrumental variable estimation (Part 5) can address endogeneity by identifying an instrumental variable unrelated to quality of care but affecting shift hours.

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rawing a causal diagram. (a) Draw a causal diagram for the research question ?do long shift hours make

Find X+Y
Geometry 9th

Find X+YGeometry 9th

Answers

Answer:

x = 71 and y = 45

Step-by-step explanation:

X is 71 and y is 45.

Forty percent of a number is greater than one-half the number decreased by 15. Which inequality can be used to determine the number?A 40x > x /2 - 15B 40x > 2x - 15C 0.40x > x/2 - 15D 0.4x < x/2 - 15

Answers

The inequality can be used to determine the number is 0.4x > x/2 - 15

The term inequality means the unequal relationship between the two or more expressions.

Here we have given that Forty percent of a number is greater than one-half the number decreased by 15.

And we need to find the number that is used to determine the inequality.

While we looking into the given question, let us consider x be that unknown  number.

Then based on the given statement, we have divide it into two parts.

First, forty percent of the number and it can be written as 40%x or 0.4x.

Next is one-half the number is 1/2 x or x/2

When we combine the whole statement,

Then we get the inequality,

=> 0.4x > x/2 - 15

Therefore option (c) is correct.

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Marco has two bags of candy. One bag contains three red lollipops and
2 green lollipops. The other bag contains four purple lollipops and five blue
lollipops. One piece of candy is drawn from each bag. What is the probability
of choosing a green lollipop and a purple lollipop?

Answers

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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4. There are major chords built on what three notes (with all white notes and no accidentals)? O CFG O ABC GEB OCDE

Answers

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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The Star Wars franchise was purchased for $1,000,000,000 in 2015. If the value of the franchise increases 2% each year, which equation models the value of the house, C, in the year 2050'?

The Star Wars franchise was purchased for $1,000,000,000 in 2015. If the value of the franchise increases

Answers

Answer: second C

Step-by-step explanation:

Suppose there are five processes, their arrival time and running time are listed as follows. Adopt FCFS and SJF, respectively, give the schedule order and average waiting time. (12) 1) Give the schedule order of FCFS. (3) 2) Compute the average waiting time of FCFS. (3) Give the schedule order of SJF. (3) 3) 4) Compute the average waiting time of SJF. (3) Process Arrival time Running time Pl 0 3 P2 3 10 P3 4 6 P4 5 1

Answers

FCFS schedule order: Pl -> P2 -> P3 -> P4

Average waiting time for FCFS: 8.75

SJF schedule order: Pl -> P4 -> P3 -> P2

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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the wechsler intelligence scale has a mean of 100 and a standard deviation of 15. what is the z score that corresponds to an iq score of 115?

Answers

The wechsler intelligence scale has a mean of 100 and a standard deviation of 15.  the z score that corresponds to an iq score of 115 is 1.

To calculate the Z score, you subtract the mean from the score and divide it by the standard deviation. In this case, 115-100=15, and 15/15=1.  A Z score of 1 indicates that the score is one standard deviation above the mean. This means that a score of 115 is higher than 84% of the population. It is in the top 16% of scores.

This score is considered to be in the high average range on the Wechsler Intelligence Scale.  The Z score can be interpreted in a variety of ways. It can be used to compare scores or to see how far a score is from the mean. It also can be used to compare scores across different tests. For example, a Z score of 1 on the Wechsler Intelligence Scale could be compared to a Z score of 1 on another test to see how the scores compare.

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given an adjacency-list representation of a directed graph, how long does it take to compute the out-degree of every vertex? how long does it take to compute the in-degrees?

Answers

Both the computation of out-degrees and in-degrees in a directed graph represented as an adjacency-list can be done in O(V+E) time complexity.

In an adjacency-list representation of a directed graph, the out-degree of a vertex is simply the number of adjacent vertices in the list, while the in-degree of a vertex is the number of times it appears in the lists of adjacent vertices for other vertices in the graph.
To compute the out-degree of every vertex, we need to iterate through each vertex in the graph and count the number of adjacent vertices in its adjacency list. This can be done in O(V+E) time complexity, where V is the number of vertices and E is the number of edges in the graph. This is because we need to visit each vertex once, and for each vertex, we need to examine all its adjacent vertices.
On the other hand, to compute the in-degrees of every vertex, we need to iterate through each vertex in the graph and count the number of times it appears in the adjacency lists of other vertices. This can also be done in O(V+E) time complexity, as we need to examine each vertex once and count the number of times it appears in the adjacency lists of all other vertices.
In summary, both the computation of out-degrees and in-degrees in a directed graph represented as an adjacency-list can be done in O(V+E) time complexity.

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Which expression has a value of 507
O A. 2x52
B. 2 x 55
C. 5 x 52
D. 5x25

Which expression has a value of 507O A. 2x52B. 2 x 55C. 5 x 52D. 5x25

Answers

Answer:

.............,...........,.......................... ans is b

what is 12% as a fraction in simplest form?

Answers

Answer:

10

Step-by-step explanation:

you convert the 12% so that it becomes a fraction...it becomes 12\100 , then put it in its lowest form ...

what is 12% as a fraction in simplest form?

there were x quarts of liquid in a con-tainer. first, 3 4 of the liquid in the container was removed. then another 1 2 quart was poured into the container. write an expression in terms of x for the number of quarts of liquid in the container at the end. then write another equivalent expres-sion.explain

Answers

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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a graph that uses images to symbolize the data that appears on the graph is known as a

Answers

A graph that uses images to symbolize the data that appears on the graph is known as a pictograph.

A pictograph is a type of chart that represents data using images or symbols. Each symbol on the pictograph represents a specific quantity, and the quantity is determined by the number of times the symbol appears on the chart. Pictographs are used to present data in a visually appealing and easy-to-understand manner, especially when the data is complex or there are multiple variables involved. Pictographs can be useful for a wide range of applications, from presenting sales figures to illustrating demographic information. They are often used in advertising, marketing, and educational materials to make data more engaging and memorable.

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Given the two sets A = {a,b,c} and B = {x,y}, calculate the maximum number of functions that can be defined from the power set of A, P(A), to the power set of B, P(B). Give your answer as an integer, not a formula.

Answers

The maximum number of functions that can be defined from the power set of A, P(A), to the power set of B, P(B) is 4096.

The Collection of well-defined objects or elements is known as a set. The objects in a set are called elements. The Set contains a finite number of elements. The Set is denoted by any capital letter like A, B etc. Elements of the set can be numbers, alphabets etc.

The elements of the set are listed inside the curly brackets { ..... }. There are various types of sets. The set of all subsets of the set X is called a Power set including the null set, empty set and the set itself. Cardinal number or cardinality denotes the number of elements in the set. Cardinality is denoted by n( X ) where X is a set. The number of subsets of the set is given by 2^n.

As per the question,

Set A   =   { a, b, c }Set B   =   { x, y }

⇒  n ( A )   =   3 elements

Number of subsets of A   =   2³

                                          =   8 subsets

⇒   n ( B )   =   2 elements

Number of subsets of B   =   2²

                                          =   4 subsets

By using the product rule,

Total number of functions from P ( B ) to P ( A )   =   8 × 8 × 8 × 8

                                                                                =   4096

Therefore, 4096 is the maximum number of functions that can be defined from the power set of A, P(A) to the power set of B.

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Let f : E → R have this property: For every e ∈ E there is an ε
> 0 so that f(x) > ε if x ∈ E ∩ (e − ε, e + ε). Show that if
E is not closed or is not bounded, then there may
not be some positive number c so that f(e) > c
for all e ∈ E .

Answers

If E is not closed or is not bounded, then there may not be some positive number c so that f(e) > c for all e ∈ E .

Suppose that E is not closed, then there exists a limit point a of E such that a ∉ E. For this limit point a, we can choose a sequence of points in E that converges to a. Since f(x) > ε for all x ∈ E ∩ (e − ε, e + ε), we have that f(x) > ε for all x in the sequence that converges to a.

However, since a is not in E, we cannot find an ε > 0 such that f(x) > ε for all x ∈ E ∩ (a − ε, a + ε), so we cannot find a positive number c such that f(e) > c for all e ∈ E.

Now suppose that E is not bounded. Then for every positive number M, there exists a point e ∈ E such that |e| > M. We can choose ε = |e|/2, and then we have that f(x) > ε for all x ∈ E ∩ (e − ε, e + ε). However, since E is not bounded, we can always choose M large enough so that ε = |e|/2 > M, and then we cannot find a positive number c such that f(e) > c for all e ∈ E.

Therefore, if E is not closed or is not bounded, then there may not be some positive number c so that f(e) > c for all e ∈ E.

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A company knows that unit cost C and unit revenure R from the production and sans of x units are related by C= R²/300,000 = 3477. Find the rate of change of revenue per unit when the cost per unit is changing by $13 and the revenue is $4.000 A. $417.00 B. $347.70
C. $200.00 D. $457.00

Answers

The rate of change of revenue per unit when the cost per unit is changing by $13 and the revenue is $4,000 is approximately B)$347.70.

Given, C = R²/300,000 = 3477

Taking derivative w.r.t R on both sides, we get

dC/dR = 2R/300,000

Since dC/dR = (dR/dC)^(-1), we have

dR/dC = 300,000/2R = 150,000/R

Now, we are given dC = 13 and R = 4000

Using dR/dC = 150,000/R, we get

dR = (dR/dC) * dC = (150,000/4000) * 13 = 487.5

The rate of change of revenue per unit is dR/dx. Since R = x * (R/x), we have

dR/dx = R/x - (dR/dC)*(dC/dx) = R/x - (150,000/R) * (2R/300,000) = R/x - 1/2000

Putting R = 4000 and x = 1, we get

dR/dx = 4000/1 - 1/2000 = 3999/2000

Therefore, dR/dx when the cost per unit is changing by $13 and the revenue is $4,000 is approximately $347.70.

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You buy 5 pounds of nails at the store. How many ounces is that?

Answers

Answer:

80 ounces

Step-by-step explanation:

One pound equals 16 ounces

16 times five is 80 ounces

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