When adding integers, what are the two main rules to remember?

Answer:

all real number

Step-by-step explanation:

domain are the value of x axis. as you can see the the graph goes for ever. there is no limitation. basically the domain of exponential graph are all really number.

Once we have a sketch of the region ω, we can determine the limits of integration for each variable by looking at the boundaries of the region. We can then change the order of integration by switching the order in which we integrate the variables.

Step 1: Sketch the region ω
To do this, we need the information about the limits of the repeated integral. However, since no specific integral is provided, let's use a general example to illustrate the process. The region ω is typically defined by a set of inequalities that describe the boundaries of the region. These boundaries can be plotted on a graph to give us a visual representation of the region.

Example:
Let's consider a double integral:
∬ ω f(x,y) dy dx, with the limits of integration for y as (g₁(x) ≤ y ≤ g₂(x)), and for x as (a ≤ x ≤ b).

To sketch region ω, we need to plot the bounding curves y = g₁(x), y = g₂(x), x = a, and x = b on a coordinate plane.

Step 2: Change the order of integration
To change the order of integration, we need to express the limits of integration in terms of x.

1. Find the inverse functions of g₁(x) and g₂(x), which are h₁(y) and h₂(y) respectively.
2. Determine the range of y, which will be the new limits of integration for the outer integral.
3. Rewrite the double integral with the new order of integration:
∬ ω f(x,y) dx dy, with the limits of integration for variable x as (h₁(y) ≤ x ≤ h₂(y)), and for y as (c ≤ y ≤ d).

Now, we have successfully sketched the region ω and changed the order of integration for the repeated integral.

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Answer:

C(x) = 100 + 12x

L(x) = 275 + 10x

Step-by-step explanation:

Let x = no. of hours

C(x) = 100 + 12x

L(x) = 275 + 10x

The expression for the given statement is 3x-55.

The given statement is ​55 subtracted from three times any number.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Let the unknown number be x.

Three times any number = 3x

​55 subtracted from three times any number = 3x-55

Therefore, the expression for the given statement is 3x-55.

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Answer:

I recommend using m a t h w a y . c o m

Step-by-step explanation:

its the best, and happy thanksgiving

Answer:

1 = 3 ( None )

Step-by-step explanation:

There is no x.

The south side of the park is 142.86 % of the north side of the park.

The correct option is C)

What is a ratio?

A ratio displays the number of times one number is present in another. A ratio describes the quantity of one object in relation to another. The secret to ratios is to consistently divide or multiply the integers by the same number.

We are given a diagram in which we have length of the trapezium. The length of the south side is 40 inches and length of the north side is 28 inches

We simple divide the length of south by length of north and then multiply by hundred to find the answer we get,

(40/28)*100=142.83

Hence the south side of the park is 142.86 % of the north side of the park.

The correct option is C)

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Answer:

h

Step-by-step explanation:

because you have to see how much it is and I know it h

The amount of money Seth spent on bicycle is $128.78. Therefore, option H is the correct answer.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Seth has $858.60 in his savings account.

He plans to spend 15% of his savings on a bicycle.

Now, 15% of 858.60

= 15/100 ×858.60

= 0.15×858.60

= $128.79

Therefore, option H is the correct answer.

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There are 9 different scoring sequences that could have produced a sum of 16: 0, 0, 6, 10; 0, 2, 6, 8; 0, 4, 6, 6; 2, 2, 6, 6; 2, 4, 4, 6; 2, 4, 6, 4; 2, 6, 2, 6; 2, 6, 4, 4; and 4, 4, 4, 4.

To find the number of different scoring sequences that could have resulted in a sum of 16, we need to consider all the possible combinations of scores in four rounds. By listing out the different combinations, we can determine the number of sequences that add up to 16.

In this case, we have four options for each round: 0, 2, 6, or 10 points. We can use these options to form sequences by assigning one value to each round. We need to find all the unique combinations that sum up to 16.

By systematically considering all possible combinations, we find that there are 9 distinct scoring sequences that can yield a sum of 16: 0, 0, 6, 10; 0, 2, 6, 8; 0, 4, 6, 6; 2, 2, 6, 6; 2, 4, 4, 6; 2, 4, 6, 4; 2, 6, 2, 6; 2, 6, 4, 4; and 4, 4, 4, 4.

These sequences represent the different ways Chun could have scored in each round to accumulate a total of 16 points. Each sequence provides a unique combination of scores that adds up to the desired sum.

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The clinic should hire at least 7 doctors in order to serve 122 patients per day.

To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.

Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.

Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.

Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.

To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.

Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.

In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.

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Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

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Answer:

The answer would be Nina

Step-by-step explanation:

beth- likes mangos, watermelon, and pineapple

nina- likes watermelon, papayas, pears, pineapple and cherries

juan- likes mangos, papayas and pears

lucy likes watermelon and papayas

abdul- likes mangos, pears and pineapples

( nina has the most amount of fruit liked between everyone else)

so the answer has to be Nina.

Answer:

Zero

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles, thus

∠ AEB = 90° , so

7x + 27 = 90 ( subtract 27 from both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Answer:

\(P(B) = \frac{4}{18} = \frac{2}{9} = 0.2\)

Step-by-step explanation:

Sample space 2+5+7+4=18

Answer:

4/18 or 2/9

Step-by-step explanation:

The total number of balls = 2 + 5 + 7 + 4 = 18

4 out of the 18 balls are blue ∴ the probability is 4/18 or 2/9

Hope this helps!

Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

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The force experienced by the negative charge is -3.7431 N. The negative sign signifies that the force is attractive in nature.

Let the side of the square be a, therefore the distance between the charges on the diagonal would be d = a√2.

The electrostatic force on the negative charge due to the positive charges is calculated as given below:

F = kq1q2/d²... (1)

Since there are three positive charges, hence the total force on the negative charge would be:

Total Force = F1 + F2 + F3... (2) where F1, F2 and F3 are the force between the negative charge and the three positive charges.

Using equation (1) we get:

F1 = (8.98755 × 10⁹ × 15.54 × 10⁻⁶ × 15.54 × 10⁻⁶) / [(0.826 × √2)²]

F2 = F1 = F3 = (8.98755 × 10⁹ × 15.54 × 10⁻⁶ × 15.54 × 10⁻⁶) / (0.826)²

Using equation (2),

Total Force = 3

F1= 3 × (8.98755 × 10⁹ × 15.54 × 10⁻⁶ × 15.54 × 10⁻⁶) / [(0.826 × √2)²]

Putting the values of F1 and simplifying,Total Force = -3.7431 N

The force experienced by the negative charge is -3.7431 N. The negative sign signifies that the force is attractive in nature.

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Answer:

15

Step-by-step explanation:Addentitive property states that any number added with 0 is the original number. so, 15+0=15

60 students chose chocolate ice cream If 84 students chose vanilla ice cream.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, Elmhurst School organized an ice cream social for the incoming sixth graders. At the social, 7 students chose vanilla ice cream for every 5 that chose chocolate ice cream.

Since,

The ratio of students who choose vanilla ice cream to chocolate ice cream is: 7/5

Thus,

for every students choose chocolate ice cream = 5/7 student who chooses vanilla ice cream

If 84 students chose vanilla ice cream

Thus, students choose chocolate ice cream = 5/7 * 84

students choose chocolate ice cream = 12* 5

students choose chocolate ice cream = 60

Therefore, If 84 students chose vanilla ice cream, 60 students chose chocolate ice cream.

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Using the exchange rate, Amy converted $75 into pounds.

The exchange rate is the unit at which one currency is changed to or converted into another.

The exchange rate converts a country's currency into another.

The exchange rate shows the worth of one currency against another.

Exchange rate = $1: £0.54

Amount received = £40.50

The dollars converted into pounds = $75 (£40.50/£0.54)

Check:

$75 to pounds = £40.50 ($75 x £0.54)

Thus, we can conclude that more dollars buy fewer Australian dollars at this exchange rate.

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The probability for the given condition is, 0.56.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession.

We have to find the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball.

P(white ball) = 14 / (11 + 14) = 14 / 25

P(2nd ball is white) = P(first ball is white)*P(2nd ball is white) + P(first ball is black)*P(2nd ball is white)

= (14 / 25) * (13 / 24) + (11 / 25) * (14 / 24)

=0.56

Hence, the probability for the given condition is, 0.56.

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Answer:

21/30, 22/30, 23/30..........39/30, 40/30, 41/30

Step-by-step explanation:

Numbers between 4/6 and 7/5 are:

Making the same demoninator, which is 30 (LCM)

Therefore, now the new numbers are 20/30 and 42/30.  

Now,

the numbers between are 20/30 and 42/30:

21/30, 22/30, 23/30..........39/30, 40/30, 41/30

Hope it helps!

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Thanks!!!

Answer:

£ 171

Step-by-step explanation:

x-y= 64

x+y= 278

-------

Answer:

£171

Step-by-step explanation:

First watch can be x

Second watch can be y.

\(x-y=64\\ x+y=278\)

\(x-y=64\\x=64+y\)

Substitute x as 64+y in the second equation.

\(x+y=278\\(64+y)+y=278\\64+2y=278\\2y=214\\y=107\)

Substitute y as 107 in the first equation.

\(x-107=64\\x=171\)

The vectors v = 6i - 3j and w = i + 2j are orthogonal.

To determine if the vectors v and w are orthogonal, we need to find their dot product. If the dot product is 0, the vectors are orthogonal.

Here are the steps to find the dot product of v = 6i - 3j and w = i + 2j,

1. Identify the components of the vectors: v = (6, -3) and w = (1, 2)

2. Multiply the corresponding components of the vectors:

\((6 \times 1) + (-3 \times 2) = 6 - 6 \)

3. Add the products: 6 - 6 = 0 Since the dot product is 0, the vectors v = 6i - 3j and w = i + 2j are orthogonal.

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Correct question is " Are these vectors orthogonal? v = 6i - 3j and w = i+2j"

Answer:

69

Step-by-step explanation:

167-152=15

This is the number of people that only brought pens

167-84=83

This is the number of people that only brought pencils.

167-15-83=69

This is the number of people that brought both pencils and pens.

By using Python to calculate the value of sin4 is a simple process that involves understanding the concept of radians and using the sine function available in Python's math module.

A radian is a unit of measurement for angles. It is defined as the angle formed when the arc length of a circle is equal to the radius of that circle. This means that an angle of 1 radian is equal to the angle formed by an arc length of 1 radius on a circle.

The sine function, denoted as sin(x), is a mathematical function that takes an angle x as input and returns the ratio of the opposite side to the hypotenuse in a right-angled triangle with an angle x.

Now, we can proceed to calculate the value of sin4 using Python. In Python, the sine function is available in the math module, so we will need to import this module at the beginning of our code. We will then use the sin() function to calculate the sine of 4 radians as follows:

import math

sin4 = math.sin(4)

Here, we are calling the sin() function and passing it the value of 4 as an argument. Since the sine function in Python accepts radians, we do not need to convert 4 to degrees.

Finally, we store the result of this calculation in a variable called sin4. This variable will now hold the value of the sine of 4 radians, which we can use in our program as needed.

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Answer:

Approximately 2.3 hours after 12 noon

Step-by-step explanation:

We are given
Stock A price at 9AM = $13.45
It increases by $0.08 per hour

Stock B at noon = $14.20
It decreases by $0.14 each hour

We have to find when the two prices will be the same.

Since the base time references are different - 9am for A and noon for B, we have to establish the same time reference

Let's do this by finding the price of stock A at noon, then we have the same time base reference of noon

9am - noon = 3 hours

In 3 hours stock A would have risen by 0.08 x 3 = $0.24

Price of stock A at noon is 13.45 + 0.24 = $13.69

Thereafter stock A continues to increase by the same rate of $0.08 per hour
The equation to model stock A price starting at noon is
13.69 + 0.08x where x is the number of hours elapsed after 12 noon

Stock B price is $14.20 at 12 noon and decreases by $0.14 per hour
Equation to model stock B price after 12 noon is

14.20 - 0.14x where x is the elapsed time after 12 noon

For both prices to be the same after the same x hours, we have
13.69 + 0.08x = 14.20 - 0.14x

Solving for x will tell us how many hours it will take for both stock prices to be the same

Solving
13.69 + 0.08x = 14.20 - 0.14x

So the two stock prices will be the same 2.3 hours after 12 noon or about 2 hours and 18 minutes after 12 noon or roughly around 2:18pm

I got 18 minutes by multiplying 0.3 x 60 = 18

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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Answer

r=3

Step-by-step explanation:

Use the slope formula

m=y2-y1/x2-x1

r-(-2)/6-1

r+2/5

r+2=5

r=5-2

r=3

Option C, (0, 1, 2, 3, 4, ...), is the correct domain of the function in this situation.

In this situation, the domain of the function represents the possible values for the number of pumpkins, x, that can be bought at the sale price. We are given that customers can buy no more than 3 pumpkins at the sale price of $4 each.

Since the customers cannot buy more than 3 pumpkins, the domain is limited to the values of x that are less than or equal to 3. Therefore, we can eliminate option D (All positive numbers, x > 0) as it includes values greater than 3.

Now let's evaluate the remaining options:

A. (0, 1, 2, 3): This option includes values from 0 to 3, which satisfies the condition of buying no more than 3 pumpkins. However, it does not consider the possibility of buying more pumpkins if they are not restricted to the sale price. Thus, option A is not the correct domain.

B. (0, 4, 8, 12): This option includes values that are multiples of 4. While customers can buy pumpkins at the sale price of $4 each, they are limited to a maximum of 3 pumpkins. Therefore, this option allows for more than 3 pumpkins to be purchased, making it an invalid domain.

C. (0, 1, 2, 3, 4, ...): This option includes all non-negative integers starting from 0. It satisfies the condition that customers can buy no more than 3 pumpkins, as well as allows for the possibility of buying fewer than 3 pumpkins. Therefore, option C, (0, 1, 2, 3, 4, ...), is the correct domain of the function in this situation.

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Answer:

3.30 for apple 2.00 for orange

Step-by-step explanation: