Which of the following are true statements? Select all that apply.
A:All integers are rational numbers.
B:Repeating decimals are not rational numbers.
C: 715/-14 is not a rational number.
D:Terminating decimals are rational numbers.
E:0.278254….. is a terminating decimal, therefore it is a rational number.

The equation of the circle will be -

(x - 4)² + (y - 13)² = 64

The general equation of a circle with (h, k) representing the circle's center, and {r} represents the length of its radius is

(x – h)² + (y – k)² = r²

We can write the equation of the circle as -

(x – h)² + (y – k)² = r²

(x - 4)² + (y - 13)² = r²

(x - 4)² + (y - 13)² = r²

(x - 4)² + (y - 13)² = r²

Also -

2πr = 16π

r = 8

So. the equation of the circle will be -

(x - 4)² + (y - 13)² = 64

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Answer:

yes

Step-by-step explanation:

they both simplify to 3:1

Answer:

Yes

Step-by-step explanation:

To see whether two fractions are equivalent or not we need to simplify them

9:3 can be simplified to 3:1 as the biggest common divisor of 9 and 3 is 3

6:2 can be simplified to 3:1 since the biggest common divisor of this set is 2

as seen we can simplify both to 3:1 so yes, they are equivalent

In summary, to meet the 25% rate of return requirement, you would need to sell the foreclosed home for $171,633.33, considering the acquisition costs, holding period costs, and expected sales costs. This selling price ensures a 25% rate of return on the investment in the foreclosed home.

To earn a 25% rate of return on the investment in a foreclosed home, you would need to sell the property for $171,633.33. This calculation takes into account the various costs associated with acquiring, holding, and selling the property. The acquisition costs amount to $18,500, the holding period costs add up to $73,000, and the expected sales costs are $7,500. These costs, along with the borrowed amount of $110,000, form the initial investment. To achieve a 25% rate of return, the selling price must cover the initial investment plus the desired return.

The initial investment consists of the borrowed amount of $110,000 plus the acquisition costs of $18,500, resulting in a total of $128,500. The holding period costs are $73,000, which is the sum of the monthly costs ($6,083.33) over the one-year period. Adding the expected sales costs of $7,500 to the initial investment and holding period costs gives a total of $209,000. To achieve a 25% rate of return on this investment, the selling price should be calculated as 1.25 times the initial investment. Thus, multiplying $209,000 by 1.25 yields $261,250. To determine the selling price, the amount borrowed ($110,000) needs to be subtracted from the calculated value, resulting in $171,633.33. This selling price ensures a 25% rate of return on the investment in the foreclosed home.

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Compared to the 1970s, there has been an increase in the proportion of middle-aged women in the 2010s who have opted not to have children.

This trend is often attributed to factors such as increased access to birth control, greater career opportunities for women, and a shift in societal attitudes towards motherhood. However, it's worth noting that there are still many women who do choose to have children in their middle age, and the decision to have children is a deeply personal one that varies from individual to individual.

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By applying the operation of addition we observed that the sum of two number are belong to the given set

take any two numbers suppose a and b

and applying the operation addition

Irrational numbers are not closed under addition.

The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.

This can be understood with the help of an example:

let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.

Hence, irrational numbers are not closed under addition.

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Answer:

C. I believe, hope this helps :)

Answer:

answer is C

Step-by-step explanation:

Answer:

- Subtract  y  from both sides of the equation.

x  =  4  −  y

- Move all terms that don't contain  y  to the right side and solve.

y  =  −  2  +  x

Step-by-step explanation:

Answer:

wrong

Step-by-step explanation:

The slope of the tangent line to the curve without eliminating the parameter `t` is `-3`.

Given the parametric equations x = t - 2t and y = 3t+1. We are to find the slope of the tangent line to the curve dy/dx without eliminating the parameter, t.

Formula for dy/dx using parametric equationsThe formula for dy/dx using parametric equations is:

dy/dx = dy/dt ÷ dx/dt

Firstly, we'll find the derivatives dy/dt and dx/dt. Then, we'll substitute the resulting values into the formula `dy/dx = dy/dt ÷ dx/dt`.

Let's find the derivatives first.`x = t - 2t`

So, `dx/dt = 1 - 2 = -1``y = 3t+1

`So, `dy/dt = 3`Substituting `dy/dt` and `dx/dt` into the formula, we have;`dy/dx = dy/dt ÷ dx/dt``dy/dx = 3/-1`

Simplifying,`dy/dx = -3`

Therefore, the slope of the tangent line to the curve without eliminating the parameter `t` is `-3`.

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The system I am evaluating is the performance management system at my current company. I believe that 12 of the 15 characteristics of an ideal system are present in this system. The two characteristics that are not present at all, or barely present, are:

An ideal system refers to a theoretical or conceptual model that represents a perfect or idealized version of a system.

The one characteristic that is clearly present in my company's performance management system is specificity: The performance goals and objectives are very specific, which makes it easy for employees to understand what is expected of them.

The characteristic in my company's performance management system that is furthest from the ideal is openness. To improve alignment between the system and the ideal, I would recommend that the company make the performance management process more open and transparent.

The responsibility for making the performance management system more open would fall to the human resources department. They would need to work with managers and employees to develop a more open and transparent process.

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Answer:

-800/100 and 80 ÷ (–10)

Step-by-step explanation:

I did the test and I got 100%

To calculate the price that the sofa must sell for, we need to first determine the total sales amount that the salesperson needs to make in order to earn a commission of at least $50. We can do this by dividing $50 by the commission rate of 6.25%, which gives us a total sales amount of $800.

Next, we can use this total sales amount to find the price of the sofa that would generate this much commission for the salesperson. Let's say that the price of the sofa is x. We can set up an equation as follows:

x * 0.0625 = $800

To solve for x, we divide both sides by 0.0625:

x = $12,800

Therefore, the sofa must sell for at least $12,800 in order for the salesperson to earn a commission of at least $50. It's important to note that this calculation assumes that the salesperson only sells one sofa. If they sell multiple pieces of furniture, their total commission earnings would be higher.
Hi! To calculate the minimum price the sofa must be sold for to earn a commission of at least $50, follow these steps:

1. Identify the commission rate: 6.25%
2. Convert the commission rate to a decimal: 0.0625
3. Determine the desired commission amount: $50
4. Divide the desired commission amount by the commission rate (decimal form): $50 / 0.0625

After performing the calculation, you will find that the minimum price the sofa must be sold for is $800. This means that the salesperson must sell the sofa for at least $800 to earn a commission of $50 or more.

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Answer: To check if the rates form a proportion, we need to calculate the rate (sit-ups per minute) for both Eric and John.

Eric's rate: 70 sit-ups / 2 minutes = 35 sit-ups per minute

John's rate: 108 sit-ups / 3 minutes = 36 sit-ups per minute

Now we can set up the proportion:

35/1 = 36/1

The rates do not form a proportion since they are not equal.

Step-by-step explanation:

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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The graph that shows a dilation among the given graphs is; Graph 1.

scale factor. What this means is that the ratio of each dilated side to their

respective old sides before dilation must be the same scale factor.

       First Graph; We can see it is a rectangle and the pre-dilated image has

2 units along the y - axis and 4 units across the x-axis. After dilation, it now

has 4 units along the y - axis and 8 units across the x-axis. This means the

scale factor in both axis are; 4/2 = 2 and 8/4 = 2. They are both the same

scale factors and as such this graph shows a dilation.

     For the second, third and fourth graphs, the scale factors after dilation

are not equal for both axis and as such they do not represent dilation.

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The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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(a) The equation for estimating the weight W of the Golden Delicious apples is W + 20 = 44.

(b) The weight of the Golden Delicious apples is 24 pounds.

The equation for estimating the weight W of the Golden Delicious apples is calculated as follows;

Weight of Golden delicous apples + Weight of Honeycrisp = Total weight of the apples

W + 20 = 44

The weight of the Golden Delicious apples is calculated as follows;

W + 20 = 44

collect similar terms together;

W = 44 - 20

W = 24 lb

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The derivative of f(x) is [cot(2x) * cot(x) - csc(2x)] / csc(x).

To find the derivative of f(x) = cot(2x) / csc(x), we can use the quotient rule and the derivatives of cot(x) and csc(x).

The quotient rule states that if we have a function h(x) = g(x) / k(x), then the derivative of h(x) is given by:

h'(x) = (g'(x) * k(x) - g(x) * k'(x)) / (k(x))^2

Let's apply the quotient rule to f(x) = cot(2x) / csc(x).

First, we need to find the derivatives of cot(2x) and csc(x).

The derivative of cot(x) is given by:

(d/dx) cot(x) = -\(csc^{2}\) (x)

The derivative of csc(x) is given by:

(d/dx) csc(x) = -csc(x) * cot(x)

Now, let's substitute these derivatives into the quotient rule formula:

f'(x) = [(d/dx) cot(2x) * csc(x) - cot(2x) * (d/dx) csc(x)] / \((csc(x))^{2}\)

Substituting the derivatives:

f'(x) = [-\(csc^{2}\) (2x) * csc(x) - cot(2x) * (-csc(x) * cot(x))] /  \((csc(x))^{2}\)

Simplifying:

f'(x) = [-\(csc^{2}\) (2x) * csc(x) + csc(x) * cot(2x) * cot(x)] /  \((csc(x))^{2}\)

Combining terms:

f'(x) = [csc(x) * (cot(2x) * cot(x) - csc(2x))] /  \((csc(x))^{2}\)

Simplifying further:

f'(x) = [cot(2x) * cot(x) - csc(2x)] / csc(x)

Therefore, the derivative of f(x) = cot(2x) / csc(x) is:

df/dx = [cot(2x) * cot(x) - csc(2x)] / csc(x)

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The modular division or remainder operator or modulus operator is not used for finding the mode.

Modular division, also known as the remainder operator or modulus operator, is a mathematical operation that calculates the remainder when one number is divided by another. It is commonly used in various applications, but it is not directly related to finding the mode.

A. Finding remainder: Modular division is used to find the remainder when dividing one number by another. For example, in the expression 17 % 5, the remainder is 2.

B. Patterns in programs: Modular division is often used to identify patterns in programs. It can be used to determine if a number is even or odd, or to cyclically repeat a sequence of values. It is useful for tasks such as generating repetitive patterns or implementing modular arithmetic.

C. Finding mode: The mode is the value that appears most frequently in a set of data. Finding the mode involves determining the frequency of each value, which is different from the concept of modular division. The mode can be found by counting occurrences or using statistical methods, but it does not involve modular division.

Therefore, finding the mode is not a problem that modular division is typically used for.

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Answer: Not 100% sure, but i think it's 3j + 1...?

Answer:

Will I'm not sure in my answer

4h+2i+3j-2h-i.

=3j+2h-1i

Step-by-step explanation:

first arrange the same litter

3j+4h-2h+2i-i

=3j+2h-1i

Answer: 1 3/8

Step-by-step explanation:

6 - 4 5/8 = 1 3/8

Since you are missing a part to the sum, you use subtraction to find the missing part.

Answer:

190 cards

Step-by-step explanation:

Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:

2 + 3 + 7 = 12

If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:

152 * 3 = 456 cards

Elle's share is therefore:

2 / 12 * 456 = 76 cards

Mandy's share is:

7 / 12 * 456 = 266 cards

Therefore, the number of cards that Many received more than Elle is:

266 - 76 = 190 cards

Answer:

2.They were respectful of these other groups’ beliefs and practices.

Step-by-step explanation:

Just took this test

The best measure of variability for the data, and its value is: D. The range is the best measure of variability, and it equals 9.

In Mathematics and Statistics, a line plot simply refers a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

From the data set, we have:

10, 1, 1, 4, 4, 2, 2, 2, 5, 5, 5, 3, 3, 3, 3

For the IQR, we have:

IQR = Third quartile (Q₃) - First quartile (Q₁)

IQR = 5 - 2

IQR = 3

For the range, we have;

Range = maximum - minimum

Range = 10 - 1

Range = 9.

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The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

If Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region, it means that the test statistic does not provide enough evidence to reject the null hypothesis.

In this case, Chastity should fail to reject the null hypothesis and accept it as the plausible explanation. This implies that there is not enough evidence to support the alternative hypothesis.

When a test statistic falls outside of the critical region, it indicates that the observed data is not extreme enough to reject the null hypothesis. The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

In summary, when Chastity's test statistic falls outside of the critical region, she should fail to reject the null hypothesis and accept it as the plausible explanation. This means that there is not enough evidence to support the alternative hypothesis at the given alpha level of .01.

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The linear cost function is C(x) is (2100 + 20x).

What is Cost function?

The cost function calculates the absolute lowest cost of generating a specified level of output at some fixed factor prices. A firm's economic potential is described by the cost function.

As given,

Marginal cost $20; 170 items cost $5500 to produce.

Evaluate the Fixed cost:

Fixed cost = 5500 - 20 × 170

                  = 5500 - 3400

                  = 2100

Now,

cost function = fixed cost + x × (marginal cost)

Substitute values respectively,

cost function = 2100 + 20x.

Hence, the linear cost function is C(x) is (2100 + 20x).

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Answer: x = 81

Step-by-step explanation:

Quite a straightforward question.

Given equation is 61+20=x

So you just need to add 61 and 20 to get the value of x,

x=81

Answer:

When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is 1:6. This is an example of theorectical probability.

Step-by-step explanation:

The probability of rolling a 2 on a 6-sided dice is  

1

6

The probability of rolling two 2s on two 6-sided die is, by the multiplication principle,  

1

6

×

1

6

=

1

36

Subjective is something that is based on personal opinion, so I think the answer is actually theoretical probability! Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Hope this helps, have a good day :)

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