ind the average value of f over the region d.f(x, y) = 6xy, d is the triangle with vertices (0, 0), (1, 0), and (1, 9)

Answer:

The 66th term is 363.

Step-by-step explanation:

Here,

a = -92 b = -85

d = b - a = -85 -(-92) = 7

n = 66

t66 = ?

We know,

tn = a+(n - 1)d

t66 = -92+(66 - 1)7

= 363

Answer: a) 46 minutes
               b) 10:47

The basic knowledge for this is that 60 minutes = 1 hour

a) Question a asks for how long it took from a 10:34 bus from Mosley to reach Bamford. From the table you can see that the 10:34 bus reaches Bamford at 11:20. All you have to do is count from 10:34 to 11:20.
10:34 will become 11:00 at 10:60 right? Clock's generally don't show 10:60 but goes directly to 11:00 after 1 minute is passed at 10:59. So from 10:34 to 11:00, it takes 26 minutes. Remember the bus reaches at 11:20 so from 11:00 to 11:20, it takes 20 minutes. Now add them up:
26 minutes + 20 minutes = 46 minutes

Here you go! Total 46 minutes from Mosley to Bamford.

b) From question b, we can see that Trina did not ride the first bus or by any chance missed it because the bus left at 10:14 and she is at the station at 10:15. Now think it from your perspective! You missed the first bus and you are in a big rush. So to reach your destination as early as possible, you will obviously take the next earliest bus. The next bus is at 10:24 (Belton). So if we take the 10:24 bus in Belton, it reaches at 10:47 in Garton.

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The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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The sale price of the green beans represents a decrease of 16.67% compared to the original price of the beans.

To find the percent increase or decrease in the price of a can of green beans during the sale, we need to compare the sale price with the original price.

During the sale, the green beans were sold at a rate of 3 cans for $1.25, or approximately 41.67 cents per can:

Sale price per can = $1.25 / 3 = $0.4167 ≈ 41.67 cents

The original price of a can of green beans was 50 cents.

To find the percent increase or decrease in the price, we can use the following formula:

Percent increase or decrease = ((New value - Old value) / Old value) x 100%

Substituting the values, we get:

Percent increase or decrease = ((0.4167 - 0.5) / 0.5) x 100%

Percent increase or decrease = (-0.0833 / 0.5) x 100%

Percent increase or decrease = -16.67%

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Answer:

12, 15, 24

Step-by-step explanation:

Let 1st # = x

Let 2nd # = x+3

Let 3rd # = 2x

Your equation is: x + (x+3) + 2x = 51

Add up all the x: x + x +3 +2x =51

Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3

Divide 4 from both sides: 4x / 4 = 48 / 4

Your 1st number is x = 12

For the 2nd # it is 3 more than x so 12 + 3 = 15

For the 3rd # it is 2 times x so 2(12) = 24

Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51

Does it equal to 51 as stated in the question? Yes, answers check out.

Answer:

x = 7/a

Step-by-step explanation:

2ax + 9 = 23

Inverse operations

2ax + 9 = 23

       -9     -9

2ax = 14

/2        /2

ax = 7

/a    /a

x = 7/a

Answer:

Step-by-step explanation:

Discrete variable assume a finite number of values. It can easily be counted. Continuous variable assumes an infinite number of values. It cannot be easily counted. It is mostly measured. Considering the given scenario, we can see that the number of items purchased customers can easily be counted. The length of time spent shopping can take an infinite set of values within a given range, thus it cannot be counted.

Therefore, the classification for the random variables from the survey is

A) Number of items, discrete; total time, continuous

Using the concept of continuous and discrete variables, it is found that the correct option is:

In this problem:

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Answer:

No

Step-by-step explanation:

the mean is 16 (add 4+5+5+8, then divide answer by 4) and the mode is 5 (occurs most in data)

The probability that the small business owner's annual profit will not exceed $100,000 is about 0.0571

We can use the central limit theorem to approximate the distribution of the annual profit. The central limit theorem states that the sum of a large number of independent and identically distributed random variables will be approximately normally distributed.

Let X be the daily profit, then the annual profit, Y, is given by Y = 105X. The mean of Y is:

μY = 105μX = 105(975) = 102375

The variance of Y is:

σY^2 = 105σX^2 = 105(129)^2 = 2244385

The standard deviation of Y is:

σY = sqrt(2244385) ≈ 1498.12

We want to find the probability that the annual profit will not exceed $100,000, which is equivalent to finding the probability that Y ≤ 100000. We can standardize Y using the formula:

Z = (Y - μY) / σY

Substituting the values, we get:

Z = (100000 - 102375) / 1498.12 ≈ -1.58

We can use a standard normal distribution table or calculator to find the probability that Z ≤ -1.58. This probability is approximately 0.0571.

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The given question is incomplete, the complete question is:

A small business owner estimates his mean daily profit as $975 with a standard deviation of $129. His shop is open 105 days a year. What is the probability that his annual profit will not exceed $100,000?

Raymond's change was $ 4.

Since Raymond frequently dined at his favorite restaurant, Hungry Hippo, and at his most recent visit, he paid his bill, and if the bill had been half as much, he would have gotten three times as much change, while if the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get, to determine how much was Raymond's change the following calculation must be performed:

Therefore, Raymond's change was $ 4.

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Answer:

x > 83 / 3

Step-by-step explanation:

Let's solve your inequality step-by-step.

3x+5>88

Step 1: Subtract 5 from both sides.

3x+5−5>88−5

3x>83

Step 2: Divide both sides by 3.

3x/3 > 83/3

x > 83/3

Answer:

30 Chocolate covered raisins will be in each bag and 5 will be left over.

Step-by-step explanation:

In order to solve this, you must divide the number of Chocolate covered raisins by the number of bags you are making. 185 divided by 6 is 30 with 5 left over.

The values of composite functions are,

(w о u)(2) = √7 + 2

(u о w)(2) = 9 + 4√2

Function composition is an operation о used in mathematics that takes two functions, f and g, and creates a function, h = g о f, such that h(x) = g. The function g is applied in this operation to the outcome of applying the function f to x.

Given:

u(x) = x^2 + 3

w(x) = √x+2

We have to find (w о u)(2) and (u о w)(2).

First to find (w о u)(x)

(w о u) = w(u(x))

         = w(x^2 + 3)

(w о u) = √(x^2 + 3) + 2

(w о u)(2) = √(2^2 + 3) + 2

 (w о u)(2) = √7 + 2

Now to find (u о w).

(u о w)(x) = u(w(x))

= u(√x+2)

= (√x+2)^2 + 3

= x + 4√x + 4 + 3

(u о w)(x) = x +  4√x + 7

(u о w)(2)  = 2 + 4√2 + 7

 (u о w)(2)  = 9 + 4√2

Hence,

The values of composite functions are,

(w о u)(2) = √7 + 2

(u о w)(2)  = 9 + 4√2

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Answer:

50

Step-by-step explanation:

60% of 50 is 30

Answer:algebra ok

Step-by-step explanation:

Answer:

8 rides $39 cost

Step-by-step explanation:

i just did it

(A) The difference between the two salary options each year $4,262.11.

What is selling price ?

Option 1: $115 per week plus 9.5% commission on total sales

Total salary per week = $115 + 9.5% of total sales

Option 2: $450 per week with no commission

Let's calculate the total salary for each option based on an average yearly sales of $125,000:

Option 1:

Total commission = 9.5% of $125,000 = $11,875

Total salary for the year = $115 × 52 + $11,875 = $18,795

Option 2:

Total salary for the year = $450 × 52 = $23,400

The difference between the two options is:

$23,400 - $18,795 = $4,605

Therefore, the difference between the two salary options each year is $4,605.

However, the question asks for the answer rounded to the nearest cent. So, rounding this answer to the nearest cent gives:

$4,605.00 ≈ $4,605.11

Therefore, the answer is (A) $4,262.11.

Hence, the difference between the two salary options each year $4,262.11.

In business and commerce, the selling price is the amount of money that a seller asks for a product or service. It is the price that the customer pays to purchase the product or service from the seller. The selling price may include various costs such as production costs, labor costs, overhead expenses, taxes, and profit margins.

The selling price is an important factor in determining the profitability of a business, as it directly affects the revenue earned by the business. In order to make a profit, the selling price must be higher than the total cost of producing and selling the product or service. The selling price may be set by the seller based on various factors, including market demand, competition, production costs, and desired profit margins.

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Answer:

Step-by-step explanation:

8.8

Just add $5.35 and $3.45!

Answer:

point of intersection are

(-2,0) and (0,1)

we have

equation of a line is :

(x-x1)=(y2-y1)(/(x2-x1)*(y-y1)

(x+2)=(1-0)/(0+2)*(y-0)

x+2=½y

y=2x+4 is a required equation in a slope intercept form.

When a population is subjected to directional selection over time, the traits that are selected for will remain stable while the traits that are selected against will disappear.

Evolution is the study of how populations change over time. Most traits have multiple genes controlling their structure, function, appearance, and other characteristics. Single genes only very infrequently control a trait.

As a result, most traits have a tendency to be continuous in nature and to have a wide range of values. One side of these values will be picked against during directional selection, while the other side will be selected in favor of. Look at the illustration of a lemur's fur color below.

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Answer:

Henry derived the value of m correctly

Step-by-step explanation:

insert m into the equation

3(3+2)=12+3

3(5)=15

15=15

Henry derived the value of m correctly

Yes, it is possible to write a while loop with a fixed number of lines of code that will process an arbitrary number of items in a list.

One way to do this is to use the while loop to iterate over the indices of the list, and then use the index to access each item in the list. Here's an example in Python:

my_list = [1, 2, 3, 4, 5]

index = 0

while index < len(my_list):

   item = my_list[index]

   print(item)

   index += 1

In this example, the while loop iterates over the indices of the list my_list using the variable index. The loop body accesses each item in the list using the current value of index, and then increments index to move to the next item in the list. This loop will process an arbitrary number of items in the list, as long as there are items to process.

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Answer: To write the equation of a line in slope-intercept form (y = mx + b), we need to find the slope (m) and y-intercept (b) of the line.

We can use the two given points (-8, -4) and (-6, -1) to find the slope:

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

m = (-1 - (-4)) / (-6 - (-8))

m = 3 / 2

Now that we have the slope, we can use either of the two given points to find the y-intercept:

y = mx + b

-1 = (3/2)(-6) + b

-1 = -9 + b

b = 8

Therefore, the equation of the line in slope-intercept form is:

y = (3/2)x + 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

idc

Step-by-step explanation:

Answer:11.55 lbs.

Step-by-step explanation:

You would add all the lbs. together

2.65

5.40

3.00

+0.50 ( for the half a pound of beans)

————-

11.55 lbs

Answer:

therefore quadratic formula suggests the answer is approximately 4 thus forth answer is on a meracular level

Answer:

w=4, 3/2

, Step-by-step explanation:

Factor out common terms in the first two terms, then in the last two terms.

w(2w-3)-4(2w-3)=0

Factor out the common term 2w-3

(2w-3)(w-4)=0

Solve for w

w=3/3,4 decimal form 1.5,4

The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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