What is the inverse of the function f(x) = x +3?

The Production Capacity per week if the setup time is 3 hours and the cycle time is 1.5 minutes is 1110 products.

Calculate the Production capacity per week with the help of the following formula;

Production Capacity = ((60 / Cycle Time) * Hours per day * Days per week) - (Hours of maintenance / Hours per week)

As given, Cycle time = 1.5 minutes, Working hours per day = 8 hours, Working days per week = 5 days, Hence,

Working hours per week = Working hours per day × Working days per week

= 8 hours × 5 days

= 40 hours

Setup time = 3 hours, Therefore, Maintenance hours per week = Setup time = 3 hours

Now, Production Capacity = ((60 / 1.5) × 8 × 5) - (3 / 40)= (240 × 5) - 0.075×(240 × 5)

= 1200 - 90

= 1110 products

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If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

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Answer:

Step-by-step explanation:

The method for finding the limit of a function on a calculator depends on the specific calculator you are using. Here are the general steps for finding the limit of a function using a graphing calculator:

Enter the function: Most graphing calculators have a function editor where you can enter the function you want to find the limit of.

Set the limit: To find the limit of the function at a particular point, you need to specify the value at which you want to find the limit. This is done by entering the limit expression, for example: limit(f(x), x, a) where f(x) is the function, x is the variable, and a is the value at which you want to find the limit.

Evaluate the limit: After entering the limit expression, you can evaluate it by pressing the "enter" or "=" button. The calculator will then display the limit of the function at the specified value.

It's important to note that a graphing calculator can only estimate the limit of a function based on the accuracy of the graph, so the result may not be exact. Additionally, some functions may have limits that cannot be evaluated using a calculator. In these cases, you may need to use analytical methods to determine the limit.

Answer:

the distance between the two points are √89 or 9.43398113

Answer:

$573.75

Step-by-step explanation:

625.00x15%=93.75

625.00-93.75=531.25

531.25x8%=42.50

531.25+42.50=573.75

Answer: I think that the answer is $573.75

please correct me if im wrong.

Step-by-step explanation:

Answer:

86in²

Step-by-step explanation:

Find the complete question attached

Area of the circle = πr²

Area of the square = L²

Length of the side of the square

r is the radius of the circle

r = L/2 = 20/2 =10in

Given

Length of the side of the circle = 20in

Area of the square = 20²

Area of the square = 400in²

Area of the circle =π(10)²

Area of the circle = 3.14(100)

Area of the circle= 314in²

Amount of plywood left over = 400in²-314in² = 86in²

The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

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Answer:

Step-by-step explanation:

Correct option is B.

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

A statistical package is likely to be used with quantitative research but not with qualitative research - True.

The collection and analysis of numerical data, such as survey responses or experimental measurements, is common in quantitative research, and statistical analysis is frequently used to summarise and interpret this data. In quantitative research, statistical software such as SPSS, R, or Stata are widely used to do data analysis and statistical tests.

In contrast, qualitative research often entails gathering and interpreting non-numerical data, such as interview transcripts or observational notes. Although statistical analysis may not be suited for this type of data, several software packages, such as NVivo, MAXQDA, or ATLAS.ti, can be used to manage and analyse qualitative data.

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The total spots moved, after the 3 plays is 15 spots to the left.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that the football team lost 5 yards on each 3 plays.

Assume that a number line to be able to see how far in the field did they lost in 3 games.

Therefore,

1 : 5  (1 game is to 5 yards)

3 : 15 (3 games is to 15 yards )

After the first play, we would move to the left on the line 5 spots (to simulate 5 yards lost) and then make a dot to show your new position.

The total spots moved, after the 3 plays is 15 spots to the left.

Hence, All they lost 15 yards in 3 games.

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The value of a car that depreciates over time can be modeled by the function \(J(t)=27000(0.9)^{2t+2}\) has an equivalent form of \(J(t) = 21870(0.81)^t\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

The value of the car is given as:

\(J(t)=27000(0.9)^{2t+2}\)

The equation can be written as:

\(J(t)=27000(0.9)^{2t} (0.9)^2\\\\J(t) = 27000(0.81)^t(0.81)\\\\J(t) = 21870(0.81)^t\)

Hence, the value of a car that depreciates over time can be modeled by the function \(J(t)=27000(0.9)^{2t+2}\) has an equivalent form of \(J(t) = 21870(0.81)^t\).

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The two salesperson will both charge the same amount after 5 hours

Setting up the equation for the problem thus:

Salesperson A :

50 + 5h ___(1)

Salesperson B :

15h ____(2)

Equating (1) and (2)

50 + 5h = 15h

collect like terms

50 = 15h - 5h

50 = 10h

divide both sides by 10 to isolate h

h = 5

Hence, they will both charge the same amount after 5 hours .

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Answer: use the radious

Step-by-step explanation:

Answer:

B : (7^2) 3x = (7^3) ^2x+1

Step-by-step explanation:

got it right on edge

Answer:

b

Step-by-step explanation:

Answer:

(n÷-6)-10 = -2

n = -48

Step-by-step explanation:

let 'n' = number

(n÷-6)-10 = -2

\(\frac{n}{-6}\) - \(\frac{60}{6}\) = -2

\(\frac{(-n-60)}{6}\) = -2

multiply each side by 6 to get:

-n-60 = -12

-n = 48

n = -48

Answer:

A restaurant surveys all its breakfast customers about meal quality.

A company that produces natural food flavorings conducts taste tests with all its employees.

A veterinarian collects information from his or her clients about dog food brand preferences.

Step-by-step explanation:

Answer:

A C F

Step-by-step explanation:

Given the side length of the square = 3 mi

The perimeter of the square = 4 times the length of one side

So, the perimeter = 4 x 3 = 12 mi

So, the answer will be perimeter = 12 mi

In your daily routine, If you weight 200 pounds and need to drink 1L of water every day, it would take you 1 hour and 30 minutes to get through this amount (roughly 30 minutes less than if you weighed 180 pounds).

Water is the most important nutrient you can consume. This is because it helps your body with its normal functioning and helps to flush out toxins from your system. Water helps maintain the proper pH balance of your body by lowering high levels of acid in the blood. Water is the best source of hydration. It hydrates the body, maintains healthy cardiovascular system and helps fight off dehydration. Depending on your weight classification you need to drink around 1 gallon of water every day.

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Answer:

4(5-x)

Step-by-step explanation:

6x-10x+20         4(5-x)

-4x+20                20-4x

and those two are both equivalent

The poll conducted among 1755 internet users indicates that a portion of them have posted a photo or video online. However, it is not possible to definitively conclude whether more than half of internet users have done so based solely on this survey.

The poll results show that a specific percentage of the surveyed internet users have posted a photo or video online. However, it is important to note that the sample size of 1755 users might not represent the entire population of internet users accurately. The survey participants might not be a diverse and representative sample, which can introduce biases. Additionally, there may be various reasons why some internet users choose not to share photos or videos online, such as privacy concerns, lack of interest, or limited access to technology. Therefore, while the poll provides insights into the habits of the surveyed individuals, it is not sufficient to draw a conclusive statement about the behavior of all internet users. To make a more accurate conclusion about the overall proportion of internet users who post photos or videos online, a larger and more diverse study encompassing a broader population would be needed.

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The sum or difference of the given expressions is -3p^2 + 2p + 8.

To find the sum or difference of the two expressions (-4p^2 - p + 9) and (p^2 + 3p - 1). To do this, we'll follow these steps:

Step 1: Write down the given expressions side by side.
(-4p^2 - p + 9) + (p^2 + 3p - 1)

Step 2: Remove the parentheses.
-4p^2 - p + 9 + p^2 + 3p - 1

Step 3: Combine like terms. In this case, we have three groups of like terms: p^2 terms, p terms, and constant terms. We'll combine each group separately.
a) Combine the p^2 terms: -4p^2 and p^2
-4p^2 + p^2 = -3p^2

b) Combine the p terms: -p and 3p
-1p + 3p = 2p

c) Combine the constant terms: 9 and -1
9 - 1 = 8

Step 4: Write the simplified expression by combining the results from Step 3.
-3p^2 + 2p + 8

So, the sum or difference of the given expressions is -3p^2 + 2p + 8.

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If the area of one block is A acre the expression to model the expression will be A×3×10×10 = 2.3 acres

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, A farmer plants 0.4 of a field of wheat. The field is 2.3 acres.

Area of field =  2.3 acres

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

There are 3 partitions with the 10 blocks in the row and 10 in the column.

Thus, if the area of one block is A acre the expression to model the expression will be A×3×10×10 = 2.3 acres.

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Answer:

3x^2 +12x

Step-by-step explanation:

(x+4) • (3x)

Distribute

3x*x + 3x*4

3x^2 +12x

Answer:

Step-by-step explanation:

its 212123s\

Constant rates are used to illustrate linear functions.

(a) The average rate of change

This is calculated using:

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

So, we have:

\(\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}\)

\(\mathbf{Rate = \frac{9}{1.0}}\)

\(\mathbf{Rate = 9.0}\)

Hence, the average rate of change is $9.0 per hour

(b) A function that models the table of values

Let x represent hours, and y represent the earnings.

So, we have:

\(\mathbf{y =m (x - x_1) + y_1}\)

Where:

m =Rate = 9.0

So, we have:

\(\mathbf{y = 9(x - 2.5) + 22.5}\)

Expand

\(\mathbf{y = 9x - 22.5 + 22.5}\)

\(\mathbf{y = 9x }\)

Represent as a function

\(\mathbf{f(x) = 9x }\)

Hence, the function that models the table is: \(\mathbf{f(x) = 9x }\)

(c) Amount earned for 7.5 hours

This means that x = 7.5

So, we have:

\(\mathbf{f(7.5) = 9 \times 7.5 }\)

\(\mathbf{f(7.5) = 67.5}\)

Hence, the amount earned in 7.5 hours is $67.5

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The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.

The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.

The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.

Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

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Answer:  Angles are supplementary if and only if their sum is 180° is true.

Step-by-step explanation:

Test by making both parts negative: Angles are not supplementary if and only if their sum is not 180°  This is also true.