explain why the relation r on {0, 1, 3, 5} given by r = {(0, 0), (1, 1), (3, 3), (5, 5), (0, 1), (1, 3), (0, 3), (3, 1)} is not a partial ordering on {0, 1, 3, 5} . be specific.

Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700

Use the simple interest formula

I = P r t

where I = simple interest

P = principal

r= rate of interest

t= number of years

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

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The decision-making process involved in Mikaela's decision to attend a Zumba class on Tuesday and Thursday afternoons and make it her regular exercise routine is "escalation."

In the scenario described, Mikaela initially started attending the Zumba class on Tuesday and Thursday afternoons. She found that it gave her a good workout and was satisfied with the results. As a result, she continued attending the class on those days and made it her regular exercise routine. This decision to stick to the same schedule without considering other options or making changes over time is an example of escalation.

Escalation in decision-making refers to the tendency to persist with a chosen course of action even if it may not be the most optimal or efficient choice. It occurs when individuals continue to invest time, effort, and resources into a decision or course of action, even if there may be better alternatives available. In this case, Mikaela has decided to stick with the Zumba class on Tuesday and Thursday afternoons because she found it effective and enjoyable, and she hasn't explored other exercise options since then.

It's important to note that escalation may not always be the best approach in decision-making. It's always a good idea to periodically reassess and evaluate the choices we make to ensure they still align with our goals and needs. Mikaela might benefit from periodically evaluating her exercise routine to see if it still meets her fitness goals and if there are other options she could explore for variety or improved results.

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Answer:

-16

Step-by-step explanation:

it's right I promise

Answer:

- 16

Step-by-step explanation:

substitute e = - 4 , f = 8 into the expression

ef ÷ 2

= - 4 × 8 ÷ 2

= - 32 ÷ 2

= - 16

f(x) = (x – 50)(x – 250) is the function can be used to model the monthly profit for x trinkets produced

Based on the given information, the correct function that can be used to model the monthly profit for x trinkets produced is:

f(x) = (x – 50)(x – 250)

This is because the quadratic function is in the form of f(x) = a(x - h)(x - k), where (h, k) represents the vertex of the parabola. The given function matches this form, with, h = 50, and k = 250.

Therefore, the function f(x) = (x – 50)(x – 250) can be used to model the monthly profit for x trinkets produced by All-Star Trinkets.

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Ted can mow the lawn in 5 minutes by using his power mower. Galen takes 15 minutes to mow the same lawn using a push-type mower.

Let's calculate the amount of work done by Ted in 1 minute.WORK = 1/5Let's calculate the amount of work done by Galen in 1 minute.WORK = 1/15

Let's calculate the amount of work done by both of them working together in 1 minute. WORK = 1/5 + 1/15 Simplify, LCM of 5 and 15 = 15 So, 3/15 + 1/15 = 4/15Hence, working together Ted and Galen can mow the lawn in 15/4 or 3.75 minutes or 3 minutes and 45 seconds.

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Answer:

To find the tens and units digit of the product, we only need to focus on the last two digits of the product.

First, we multiply 8 x 6, which gives us 48. So the units digit is 8 and we carry-over the 4 to the tens digit.

Next, we multiply 7 x 6, which gives us 42. We add the carry-over 4, which gives us 46. So the tens digit is 6 and we carry-over the 4.

Continuing with the multiplication, we get:

6 x 0 = 0 (no carry-over)

6 x 7 = 42 (carry-over 4)

6 x 2 = 12 (carry-over 1)

Adding the carry-over, we get:

4 + 4 + 1 = 9

Therefore, x+y= 8 + 6 = 14

Step-by-step explanation:

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Answer:

The diameter of a circle is "2 x radius".

The required value of (8.8 × 10⁻⁴) × (7.4 x 10¹¹) in standard form is 6.512 × 10⁸.

The expression is given as follows:

(8.8 × 10⁻⁴) × (7.4 x 10¹¹)

When multiplying numbers in scientific notation, we can multiply the coefficients and add the exponents of 10.

(8.8 × 10⁻⁴) × (7.4 x 10¹¹)

= (8.8 × 7.4) × 10⁽⁻⁴⁺¹¹⁾

= 65.12 × 10⁷

To convert to standard form, we can write 65.12 as 6.512 × 10¹:

= 6.512 × 10¹ × 10⁷

= 6.512 × 10⁸

Therefore, the value of (8.8 × 10⁻⁴) × (7.4 x 10¹¹) in standard form is 6.512 × 10⁸.

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Answer:

25 inches

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

75 = (1/2) x 6 x height

height = (75 x 2) / 6 = 25 inches

Answer:

51

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

3(5+12) (taking the common between the two numbers)

3(17)

51

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The number of words he still need to write in one of his writing sessions would be = 95 minutes.

A graduate is an individual that has completed studies in an institution for a number of years and is being issued a certificate afterwards.

The number of words committed for a day by Nick = 500 words.

He writes 120 words = 30 mins

The total number of words remaining = 500 - 120 = 380 words.

Therefore the time it will take to finish the remaining 380 words in the day = X mins.

If 30 mins= 120 words

X mins = 380 words.

Make X mins the subject of formula;

X mins = 380× 30/120

X mins = 11,400/120

X mins= 95 minutes.

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Answer:

y =-1/4x - 10

Step-by-step explanation:

just got this question correct on my test

Answer:

Its B

Step-by-step explanation:

SOLUTION:

Case: Shifting a graph

The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input. Adding to the output of a function moves the graph up. Subtracting from the output of a function moves the graph down. Here are the graphs of y = f (x), y = f (x) + 2, and y = f (x) - 2

Given:

Required:

To show how the function changes

Method:

Step 1:

The original function

At the original function, the graph cuts through (0,0).

Step 2:

When it is shifted 8 units up, the graph will now cut through (0,8).

The function will now be:

Final answer:

Answer:  0.884736

Step-by-step explanation:

Given: The proportion of all air travel departs on time: p= 0.96

Total flights : n= 3

Let x be the number of flights on time.

As there are two cases either flight on time or not, so it is a binomial case.

Binomial distribution formula: \(P(X=x)=\ ^nC_xp^x(1-p)^{n-x}\)

The probability that all of them depart on time = \(P(X=3)=\ ^3C_3(0.96)^3(1-0.96)^0=(1)(0.96)^3=0.884736\)

The probability that all of them depart on time = 0.884736

To handle 90% of the calls immediately with an average of 11 calls per hour per representative and an arrival rate of 22 calls per hour, the company should use a total of 5 extension lines.

To determine the number of extension lines required to handle 90% of the calls immediately, we need to consider the arrival rate and the capacity of each representative.

First, let's calculate the number of calls each representative can handle per hour. With an average of 11 calls per hour per representative, this indicates their capacity to address 11 calls within a one-hour timeframe.

Next, we need to assess the arrival rate, which is stated as 22 calls per hour. This means that, on average, there are 22 incoming calls within a one-hour period.

To handle 90% of the calls immediately, we aim to address as many incoming calls as possible within the hour. Considering that each representative can accommodate 11 calls, we divide the arrival rate of 22 calls per hour by 11 to determine the number of representatives needed.

22 calls per hour / 11 calls per representative = 2 representatives

Therefore, we need a total of 2 representatives to handle the incoming calls. However, since each representative can only handle 11 calls, we require additional extension lines to accommodate the remaining calls.

Assuming each representative occupies one extension line, the total number of extension lines needed would be 2 (representatives) + 3 (extension lines) = 5 extension lines.

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Answer:

AB~BA OR CD~DB OR DB~AC

Answer:

This is the answer I hope I helped! Have a nice day! Really helpful for k12 users!

Step-by-step explanation:

Answer:14.518

Step-by-step explanation:

Answer:

83.89

Step-by-step explanation:

=\(\frac{(43-1)*3.83^2}{2.71^2}\)

=83.88962569

The three ways of ratio for comparing the first quantity to the second quantity will be;  9 : 17, 18 : 34, and 27 : 51

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have

Number of monkeys = 9

Number of chimpanzees = 17

Now,

The ratio of comparing the first quantity to the second quantity is;

Here, The first quantity is Monkeys

And, The second quantity is Chimpanzees.

So, the ratio of Monkeys to Chimpanzee is;

Number of Monkeys / Number of chimpanzee = 9 / 17

                                                                              = 9 : 17

And, the two equivalent ratios are;

⇒ 9 / 17 = 9 × 2 / 17 × 2

             = 18 / 34

⇒ 9 / 17 = 9 × 3 / 17 × 3

             = 27 / 51

Thus, the three ways of ratio for comparing the first quantity to the second quantity will be;  9 : 17, 18 : 34, and 27 : 51.

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The question seems to be incomplete the correct question would be:

Write a ratio for the situation in three ways comparing the first quantity to the second quantity A zoo has 9 monkeys and 10 chimpanzees

Answers:

==============================================

Explanation:

The notation 5^2 is the same as writing \(5^2\)

The second number is the exponent and it tells us how many copies of the base to multiply together. In the example 5^2, we have two copies of 5 multiplied to get 5^2 = 5*5 = 25

As another example, 4^3 = 4*4*4 = 64. We have three copies of 4 multiplied due to the exponent 3. You can use a calculator for this, but I recommend doing this by hand to get practice.

Note how 4^3 = 64 and 8^2 = 64. So 64 is used twice (which is why we have two tiles labeled "64").

The tiles labeled 9, 12, 10, and 16 are never used since they don't have any matching exponential expression.

The equation to plot in the complex Cartesian plane is 2Re(z) - |z²| ≥ -3Im(iz).

To plot the equation 2Re(z) - |z²| ≥ -3Im(iz) graphically, you can follow these steps:

1. Represent the complex number z in terms of its real and imaginary parts, z = x + yi, where x is the real part and y is the imaginary part.

2. Substitute the values of x and y into the equation and simplify it.

3. Separate the equation into real and imaginary parts.

4. For each part, plot the corresponding inequality on the Cartesian plane.

- For the real part, plot the inequality 2x - |(x + yi)²| ≥ -3y.

- For the imaginary part, plot the inequality 0 ≥ 0 (as -3Im(iz) = 0 for all values of x and y).

5. Determine the common region that satisfies both inequalities. This region represents the solution to the original equation.

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The vertical distance of balloon above the ground is 358.85 ft.

The angle of depression refers to the angle formed by the horizontal and a downward angle to an object. The line of sight of an observer is usually positioned below the horizontal.

From the given information we have the angle of depression is measured as 24° and the horizontal distance = 806feet

To determine the vertical distance above the ground, we will use the tangential trigonometric ratio as;

tan 24° = h/806

h = 806 tan 24°

h = 358.85 ft

h = 358.85 ft (to the nearest tenth foot)

The vertical distance of balloon above the ground is 358.85 ft.

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The company should produce "85" DVD's to maximize the profit.

According to the question,

The profit P for producing n DVD copies are

Let,

Now,

To find the minimize profit,

→ \(P'(n) = 0\)

→ \(-0.04n+3.4=0\)

By substracting "3.4" from both the sides, we get

→ \(-0.04n+3.4-3.4=-3.4\)

→                   \(-0.04n = -3.4\)

→                            \(n = \frac{-3.4}{-0.04}\)

→                            \(n = 85\)

Thus the answer above is right.

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The constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute

The question is incomplete as the graphs and the tables are missing.

However, the points given in the question can be used to represent the graph and the table

By interpreting the points, we have:

Graph

(x, y) = (0, 0) and (4, 1)

Table

x           y

4           0.5

20         2.5

32         4

The slope is calculated using:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

So, we have:

Graph: \(m = \frac{1 -0}{4 -0} = 0.25\)

Table: \(m = \frac{4 -2.5}{32 -20} = 0.125\)

Freddy's speed is represented by the graph, while Sam's speed is represented by the table

Hence, the constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute

Freddy ran faster because 0.25 is greater than 0.125

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Answer:

1. Freddy ran a speed of 1/4 miles

2. Sam ran a speed of 1/8 miles

3. Freddy ran faster

Step-by-step explanation:

Your welcome :)

flash is the best show to ever exist

Answer:

4739 CDs

Step-by-step explanation:

Given the function that models the rate at which the disc is sold expressed as;

R(t)=20,000e^−0.12t

t is the number of weeks since the CD was first released

We are to look for the number of CDs that are expected to be sold during the first 12 weeks after the release. To do this, you will simply substitute t = 12 into the modeled function and get R(12) as shown;

R(t)=20,000e^−0.12t

R(12)=20,000e^−0.12(12)

R(12)=20,000e^−1.44

R(12)=20,000(0.2369)

R(12) = 4738.56

Hence the total number of CDs expected to be sold to nearest thousand is 4739 CDs

Answer:

127,000

Step-by-step explanation:

you take the integral from 0 to 12 of R(t)

Answer: is 36

Step-by-step explanation:

Answer and Step-by-step explanation:

First, we should simplify what is given by evaluating everything in the parenthesis and around the parenthesis.

(-2)² = 4

12(3) = 36

-4 = -4

Now, we combine.

4 + 36 - 4 = 36

The answer is 36.

#teamtrees #WAP (Water And Plant) #MerryChristmas

you need first see something all the numbers in the polynomial can be divided by 3 then we can rewrite the polynomial as

3(x^3+4x^2+x-6)

the polynomial x^3+4x^2+x-6 is easier to solve and find the roots

the roots are

x = -3

x = -2

x = 1

and finally

we can rewrite the polynomial as

3(x+3)(x+2)(x-1)

so we can say that the right answer is D. 3(x-1)(x+3)(x + 2)

The y-intercept is y = 10, and that is the initial height of the flower in inches.

And the rate of change between n = 1 and n = 5 is:

R = 0.21

For any function y = f(x), the y-intercept is the value that y takes when we evaluate in x = 0.

In this case, we have the exponential function:

g(n) = 10*(1.02)^n

Evaluating in n = 0 we get:

g(0) = 10*(1.02)^0 = 10*1 = 10

The y-intercept is y = 10, and it means that the initial height of the flower is 10 inches.

Now we want to get the average rate of change on the interval [1, 5].

Remember that for a function f(x) the average rate of change on an interval [a, b] is:

R= [ f(b) - f(a)]/(b - a)

In this case we will have:

R = [ g(5) - g(1)]/(5 - 1) = [g(5) - g(1)]/4

Where:

g(5) = 10*(1.02)^5  =11.041

g(1) = 10*(1.02) = 10.200

Replacing that:

R = [11.041 - 10.200]/4 = 0.21

This means that the plant increases about 0.21 inches per day on these 4 days.

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(a) To find the maximum rate of change of f at point P(1,0), we need to find the gradient of f at that point and then find its magnitude. The direction of maximum increase is given by the unit vector in the direction of the gradient.

The gradient of f is:

∇f(x,y) = <y cos(xy), x cos(xy)>

At point P(1,0), we have:

∇f(1,0) = <0, cos(0)> = <0, 1>

The magnitude of the gradient is:

||∇f(1,0)|| = \(sqrt(0^2 + 1^2)\) = 1

Therefore, the maximum rate of change of f at point P is 1, and it occurs in the direction of the unit vector in the direction of the gradient:

u = <0, 1>/1 = <0, 1>

So the maximum rate of change occurs in the y-direction.

(b) To find the maximum rate of change of f at point P(8,1.3), we need to find the gradient of f at that point and then find its magnitude. The direction of maximum increase is given by the unit vector in the direction of the gradient.

The gradient of f is:

∇f(x,y,z) = <2x, 2y, 2z>

At point P(8,1.3), we have:

∇f(8,1.3) = <16, 2.6, 2(1.3)> = <16, 2.6, 2.6>

The magnitude of the gradient is:

||∇f(8,1.3)|| = \(sqrt(16^2 + 2.6^2 + 2.6^2) = sqrt(275.56) ≈ 16.6\)

Therefore, the maximum rate of change of f at point P is approximately 16.6, and it occurs in the direction of the unit vector in the direction of the gradient:

u = <16, 2.6, 2.6>/16.6 ≈ <0.963, 0.157, 0.157>

So the maximum rate of change occurs in the direction of this unit vector.

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