How do I draw a function that has a domain if all real numbers greater than 5

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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The variance of the bedroom areas in the five-bedroom house is 864, and the standard deviation is approximately 29.39 square feet.


Mean: (100 + 100 + 120 + 120 + 180) / 5 = 620 / 5 = 124
Squared differences: (24^2, 24^2, 4^2, 4^2, 56^2) = (576, 576, 16, 16, 3136)
Mean of squared differences: (576 + 576 + 16 + 16 + 3136) / 5 = 4320 / 5 = 864
Variance: 864
Standard deviation: √864 ≈ 29.39


Hence, The variance of the bedroom areas in the five-bedroom house is 864, and the standard deviation is approximately 29.39 square feet.

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In the experiment, the subject whose behavior is being assessed are observational units. The observational unit in this instance is Harley (Dog).

We will first investigate if canines can comprehend both non-human and human gestures in this investigation. The dogs were placed around 2.5 meters apart from the experimenter so that the researchers could test this. Two glasses were placed one on either side of the experimenter.

A gesture would be made at one of the cups by either the experimenter (pointing, bowing, or staring) or by a non-human object (a mechanical arm pointing, a doll pointing, or a stuffed animal looking). After then, the scientists would observe whether the dog would approach the cup that was pointed out. Six dogs were put to the test. We'll focus on one of the dogs who participated in both of his trial sets.

The four-year-old mixed breed dog was given the name Harley. Each of the ten trials in a set consisted of one gesture and one pair of cups. In order to see if Harley would approach a particular cup, the experimenter bowed toward it during one round of experiments.

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Answer:

The slope is  \(s =\) $0.1774 / pounds

Step-by-step explanation:

From the question we are told that

   The weight of the rat is \(w_1 = 3.5 \ pound\)

     The cost of feeding the rat per week is \(c_1 =\)$4.50

     The weight of a Beagle is  \(w_2 = 30 \ pound\)

     The cost of feed a Beagle per week is  \(c_2 =\)$9.20

Now the slope can be evaluated mathematically as

           \(s = \frac{c_2 -c_1 }{w_2 -w_1 }\)

substituting values

            \(s = \frac{9.20 -4.50 }{30 -3.5 }\)

           \(s =\) $0.1774 / pounds

Answer:

A

Step-by-step explanation:

Answer:

y=1/9x+104

Step-by-step explanation:

I REALLY hope this helps

Sorry if im wrong

Best of luck!

To use the splitpts function in Matlab, you will first need to define two sets of points with different arrays for each set. Then, you can use the syntax newSetOfPoints = splitpts(originalSetOfPoints) to split the original set of points into two new sets.

The "splitpts" function in MATLAB is used to split a set of points into two sets based on a specified split point. Here are the steps to use this function:

1. Define the set of points you want to split. For example:
```
points = [1 2 3 4 5 6 7 8 9 10];
```

2. Specify the split point. This can be any number between the minimum and maximum values of the set of points. For example:
```
splitPoint = 5;
```

3. Use the "splitpts" function to split the set of points into two sets. The first set will contain all the points less than or equal to the split point, and the second set will contain all the points greater than the split point. For example:
```
[set1, set2] = splitpts(points, splitPoint);
```

4. The resulting sets will be stored in the variables "set1" and "set2". You can display these sets using the "disp" function:
```
disp(set1);
disp(set2);
```

The output will be:
```
1 2 3 4 5
6 7 8 9 10
```

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We will have the following:

***Explanation***

We have that absolute value is used in order to obtain magnitudes, and since magnitudes are positive those are the values we are going to obtain.

Now, for example:

|5| = 5

|-5| = 5

|420| = 420

|-69| = 69

|342| = 342

|-23| = 23

This is the nature of the absolute value, it gives us the positive value and thus the magnitude (In other words it removes the "direction" the value had.)

Answer:

The answer is 476, so the third option is correct.

Step-by-step explanation:

Step 1: Recall the Order Of Operations

The order of operations tells us in which order we have to solve expressions, if there are different operations.

The order is (from first solved to lastly solved) Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Step 2: Calculate the expression

As we can see, there are parentheses present, so we will solve the expression in them first:

\((6+4)\\=(10)\)

The expression becomes:

\(10\cdot 49 -7\cdot 2\)

Multiplication should occur first before the subtraction, so let's multiply the numbers:

\(10\cdot49-7\cdot2\\\\\text{Multiply the first expression:}\\=490-7\cdot 2\\\\\text{Multiply the second expression:}\\=490-14\)

Now, you can subtract the numbers:

\(490-14\\=476\)

Answer:

8 and 10

Step-by-step explanation:

Given

\(\frac{1}{x}\) + \(\frac{1}{x+2}\) = \(\frac{9}{40}\) ← combine the fractions on the left side

\(\frac{x+2+x}{x(x+2)}\) = \(\frac{9}{40}\)

\(\frac{2x+2}{x^2+2x}\) = \(\frac{9}{40}\) ( cross- multiply )

9(x² + 2x) = 40(2x + 2) ← distribute both sides

9x² + 18x = 80x + 80 ( subtract 80x + 80 from both sides )

9x² - 62x - 80 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 9 × - 80 = - 720 and sum = - 62

The factors are - 72 and + 10

Use these factors to split the x- term

9x² - 72x + 10x - 80 = 0 ( factor the first/second and third/fourth terms )

9x(x - 8) + 10(x - 8) = 0 ← factor out (x - 8) from each term

(x - 8)(9x + 10) = 0

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

9x + 10 = 0 ⇒ 9x = - 10 ⇒ x = - \(\frac{10}{9}\)

x is an integer , then x = 8 and x + 2 = 8 + 2 = 10

The integers are 8 and 10

Answers: Integers are x=8, x=10.

The theorem that provides a method for revising probabilities to reflect new information is Bayes' theorem.

Bayes' theorem is a fundamental concept in probability theory and statistics that provides a way to update or revise probability estimates based on new or additional information.

It is named after the English statistician Thomas Bayes, who first formulated the theorem in the 18th century. Bayes' theorem is widely used in various fields such as science, engineering, medicine, finance, and artificial intelligence.

It is an essential tool for solving problems related to decision making, prediction, and classification.

Bayes' theorem is based on conditional probability, which describes the probability of an event given that another event has occurred. The theorem provides a formula for calculating conditional probabilities and allows for the incorporation of new information or evidence into the probability estimate.

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Answer:

y = 1/2x + 6

Step-by-step explanation:

y = 1/2x + b

5 = 1/2(-2) + b

5 = -1 + b

6 = b

Answer:

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

Step-by-step explanation:

Start with the point-slope form of the equation of a straight line:  

y - k = m(x - h), where (h, k) is a given point on the line and m is the slope:

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

When specializing in the goods they have a comparative advantage in, you will produce 36 pounds of apples and your neighbor will produce 16 pounds of cherries. After trading half of your production for half of your neighbor's, you will end up consuming 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples.

To find the production levels when specializing, we need to identify the goods each party has a comparative advantage in. You produce 72 pounds of apples and 12 pounds of cherries when focusing solely on each good, while your neighbor produces 32 pounds of both apples and cherries. You have a comparative advantage in apples since you can produce 6 times more apples than cherries (72 apples vs. 12 cherries) while your neighbor can only produce twice as many apples as cherries (32 apples vs. 16 cherries).

Thus, you will specialize in apple picking, and your neighbor will specialize in cherry picking. As a result, you will produce 36 pounds of apples, and your neighbor will produce 16 pounds of cherries. After trading, you both end up with half of each other's production. You will consume 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples. This specialization and trade allow both of you to enjoy a more diverse consumption bundle and increase overall welfare.

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Answer:

The sum of alternating angle end up to 180 degress

Answer:

6.32                  or             2 x sq rt 10

Step-by-step explanation:

6 along x axis, 2 along y axis

using the Pythagorean theorem

6^2+2^2=40

sq rt 40=6.32         or           2 x sq rt 10

Answer:

2,1 .     4,4 .     5,2

Step-by-step explanation:

Answer:

a' (2,1)

b'(4,4)

c'(5,2)

(x,y)→(x+1,y+4)

Step-by-step explanation:

So the <a'b'c' is <abc translated 1 unit to the right and 4 units up. Whenever it says to move to the right or the left it has to do with the x axis. When you move to the left its subtraction and when you move to the right you addition.

When ever is say to move up or down it has to do with the y-axis. when you move up its addition and when you move down its subtraction. Sooo since the question said to move it to the right and up theyre both going to be addition. Thats why in the translation theyre both addition sign.

Im really bad at explaining things but hope this helps:)

Answer:

59%

Step-by-step explanation:

There are 7 days out of 14 that are 20 or more

That would be 59%

The three positive numbers whose sum is 270 and whose product is a maximum is 67.5, 135, 67.5.

Let x, y, and z be the three positive numbers.

Write an equation relating x, y, and z based on the given constraint: x + y + z = 270.

Use algebra to solve for one of the variables in terms of the others.

Solving for z in terms of x and y: z = 270 - x - y.

Substitute the expression for z into the equation for the product of the three numbers:

P = x * y * z = x * y * (270 - x - y).

Expand the expression for P and simplify as P = 270xy - x²y - xy².

Using calculus to find the critical points of P, which occur when the derivative of P with respect to x is zero:

dP/dx = 270y - 2xy - y²= 0.

Solving for x in terms of y: x = (270y - y²)/(2y).

Simplify the expression for x as x = 135 - (y/2).

Since x and y must be positive, we know that 0 < y < 270/2 = 135.

Therefore, we can choose y = 135.

Using the equation for x in terms of y, we can find x as x = 135/2 = 67.5.

Using the constraint x + y + z = 270, we can find z as z = 67.5.

 Check that x, y, and z are positive and that they add up to 270.

Therefore, the three positive numbers whose sum is 270 and whose product is a maximum are 67.5, 135, and 67.5.

The product of these three numbers is (67.5) * (135) * (67.5) = 614062.5.

So the maximum product is 614062.5.

Thus, the answer is: 67.5, 135, 67.5.

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Answer:

The answer is \(\frac{3}{10}\)

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

y = mx + c

y = -1/2x + 3 (rearranged from question)

slope = m

Answer:

- 1/2

Step-by-step explanation:

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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Answer:

6x^2 + 11x -1

Step-by-step explanation:

4x^2 + 9x + 2 + 2x^2 + 2x -3

Add the like terms to get the answer

The unit rate of Ben is 8.5 minutes.

For this problem, we are looking for how many miles Ben walked per minute — so the goal is miles per minute

So, calculate:

Therefore, the unit rate for Ben is 8.5 minutes.

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Complete question:

Ben walked 3/4 of a mile in 8 1/2 minutes. Find the Unit Rate.

The number of different towers with a height of 8 cubes can the child build with 2 red cubes, 3 blue cubes, and 4 green cubes is 312.

To solve this problem, we can use the formula for the number of ways to arrange n objects with k of one type, m of another type, etc. Specifically, the formula of combination  is:

(n-1)! / (k! * m! * ...)

In this case, we have 8 cubes total, with 2 red, 3 blue, and 4 green. So applying the formula, we get:

(8-1)! / (2! * 3! * 4!) = 7! / (2! * 3! * 4!)

= (7*6/2) * (5*4*3/6) * (4*3*2*1/24)

= 21 * 20 * 1

= 420

However, we have to remember that we are leaving out one cube. This means that for each tower we counted, there is actually a corresponding tower that is identical except for the color of the cube that was left out. So we need to divide by 3 (since there are 3 choices for which cube to leave out). This gives us:

420 / 3 = 140

So the answer is (c) 312.

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When Shannon filled a rectangular 10/279 cm by 10/178 dish with water, the area is B) 178/10 x 279/10 = A and A / 178/10 = 279/10

It should be noted that in order to make the paper, Shannon filled a rectangular 10/279 cm by 10/178 dish with water and then they gently swirled paint on top of the water.

Therefore, the area of the rectangular paper as illustrated will be calculated by multiplying the dimensions given. This will be:

Area = Length × Width

Area = 10/279 × 10/178

Therefore, based on the information, it should be noted that the correct option is B.

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Answer:

b and d

Step-by-step explanation:

The expressions can be used to calculate how many dollars he made in total during this time is (b) $53412*8*1.03

What is expression in mathematics?

Mathematical statements are called expressions if they contain at least two terms that are connected by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

Solution

Brayan began his career making an annual salary of $53,412

after each year he has received a raise of 3%

after 8 year he has received a raise of 8*3%

8*1.03

after 8 year how many dollars he made in total during this time is

$53412*8*1.03

So the expression shown in option b is correct

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Answer: a. 95%

In a normal distribution, about 95% of the distribution lies within two standard deviations of the mean.

Based on the given information, we conducted a random experiment to compare the mean time to recovery between a newly formulated drug and the standard drug. The mean time to recovery for the standard drug is known to be 26 days.

After an extensive random experiment involving 65 patients, we constructed a 95% confidence interval estimate for the mean recovery time for patients on the new drug, which was found to be (24.6, 27.8) days.

Based on this information, we can conclude that the mean recovery time for patients on the new drug is significantly different from the mean recovery time for patients on the standard drug. Since the confidence interval for the new drug does not include the mean recovery time of the standard drug (26 days), it suggests that the new drug produces a different effect on the mean time to recovery compared to the standard drug.

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Answer:

One number is -6 and the other number is 7.

Step-by-step explanation:

Let x be one of the numbers and y be the other number.

So 8x + 5y = -13.

Also, x + y = 1

These two equations are the algebraic version of the words in the problem.

We need to solve this system of equations. You may be studying solving systems of equations using substitution or elimination method or even matrices. I will show you here using elimination method, sometimes called addition or subtraction method.

We need to multiply x+y=1 by -5.

-5(x + y = 1)

-5x - 5y = -5

We can stack the two equation and add them together to eliminate one of the variables.

8x + 5y = -13

-5x - 5y = -5

___________ Add.

3x = -18

3x = -18 Now divide by 3.

x = -6

Put thus value back into one of the original equations.

x = -6

x + y = 1

Substitute.

-6 + y = 1

Add 6.

y = 7

When one number is -6 and the other number is 7, then both equations will be true.