Prove DB is angle bisector of angle ADC

The 4 questions to answer the problem are:

The question that will be used to answer this question will be a new question as follows

In 1997, there were 85,000 Netflix subscribers. The number of subscribers increased at a rate of 13.4% each year.

From the question above, we have the following:

Inital subscribers, a = 85 thousand

Rate of increase, r = 13.4%

Using the above as a guide, we have the following:

The function of the situation is

f(x) = a * (1 + r)ˣ

So, we have the following representation

f(x) = 85 * (1 + 13.4%)ˣ

This gives

(a) f(x) = 85 * (1.134)ˣ

(b) The graph is attached

(c) The initial value is 85

(d) The rate of change is 13.4%

Hence, the function is f(x) = 857000 * (1.134)ˣ

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Answer:

[tex] \frac{ {x}^{2} - 3x - 10 }{2x - 10} = \frac{(x - 5)(x + 2)}{2(x - 5)} = \frac{x + 2}{2} [/tex]

At x = 5, the limit is 7/2, or 3.5.

Answer:

it is a function

Step-by-step explanation:

The domains are all different. If some were the same it would not be a function. Domains: X axis numbers

Answer:

180 degrees

Step-by-step explanation:

the sum of angles in a triangle is 180degrees

Answer:

420 m

Step-by-step explanation:

250m >>> 5cm

Everything must be of the same unit so 250 x 100 =25000 cm

If The distance between the school and the library is 8.4 then,

25000 >>> 5

?? >>> 8.4

We do cross multiplication

(25000 x 8.4) ÷ 5 = 42000cm

42000 ÷ 100 = 420 m

420 m

250m to 5cm

m and cm are not the same unit so we have to convert m to cm: 250 x 100 =25000 cm

If the distance between is 8.4

25000 is to 5

?? >>> 8.4

We do cross multiplication

(25000 x 8.4) ÷ 5 = 42000cm

1. The correct answer is A. Rights and obligations. An artificial legal persona, such as a corporation or a company, is a separate legal entity that is distinct from its owners or shareholders. As such, it has its own rights and obligations, which include the ability to enter into contracts, own property, sue or be sued, and engage in various legal activities.

2. The correct answer is A. Copyright law. Intellectual Property law encompasses various legal frameworks that protect creations of the human intellect, such as inventions, literary and artistic works, symbols, names, and designs. Copyright law specifically deals with the protection of original creative works, such as books, music, films, and computer software. 3. The correct answer is D. All of the above. Contracts are considered contrary to public policy if they have a negative impact on society, interfere with the public's welfare, or compromise public safety. Public policy represents the legal principles and values that underpin societal norms and interests, and contracts that run counter to these principles are generally unenforceable or void. 4. The correct answer is D. Payment of wages. Employment duties typically include obedience to lawful instructions, maintaining good faith and loyalty towards the employer, and providing services as agreed upon in the employment contract. Payment of wages, although an essential aspect of the employment relationship, is not classified as a duty but rather as an obligation of the employer to compensate the employee for their services rendered.

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Answer:

Given data :

Data is already in ascending order so let's start answering.

We have to find the mean of Given data

[tex] \sf \: Mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ [/tex]

[tex] \sf \: mean = \frac{3 + 6 + 6 + 7 + 8 + 11 + 15 + 16}{8} \\ \\ \sf \: mean = \cancel \frac{72}{8} \\ \\ \red{\underline{ \boxed{ \sf \: mean = 9}}}[/tex]

Answer: Ray's car wash receives more money per car wash

Step-by-step explanation:

Answer:

32

Step-by-step explanation:  

half the number is 56 - 40 which is 16 and it says half the nuber is 16 so 16 x 2 is 32

Answer:

The number is 8

Step-by-step explanation:

Lets say the number is x.

x/2=56-40

combine 56 and -40

x/2=4

multiply 2 by both sides

x= 8

Answer:

- 5/8

Step-by-step explanation:

-9-11/24-(-8)= -20/32 = - 5/8

Answer:

i am pretty sure 90

Step-by-step explanation:

Answer:

it should be greater than 100, not less than

Step-by-step explanation:

Answer:

Relationship between Josiah's pay and Tillery's pay  is not proportional

Step-by-step explanation:

Amount paid to Josiah per hour = $14

Amount paid to Tillery per hour = $7

Ratio of amount paid to Josiah to amount paid to Tillary = [tex]14:7=2:1[/tex]

In the next year,

Amount paid to Josiah per hour = 14 + 2 = $16

Amount paid to Tillery per hour = 7 + 2 = $9

Ratio of amount paid to Josiah to amount paid to Tillary = [tex]16:9[/tex]

As [tex]2:1\neq 16:9[/tex],  relationship between Josiah's pay and Tillery's pay  is not proportional

The value of [tex]x^{24}[/tex], where x is a positive real number and x = 28, is approximately [tex]1.6571 x 10^{34}[/tex]. When 28 is raised to the power of 24, it results in a very large number, approximately [tex]1.6571 x 10^{34}[/tex].

The value of [tex]x^{24}[/tex], where x is a positive real number and x = 28, is:

[tex]x^{24} = 28^{24}[/tex]

To calculate this value, we raise 28 to the power of 24.

Expanding the expression, we have:

[tex]28^{24} = (28 * 28 * 28 * ... * 28) (24 times)[/tex]

Computing this expression can be time-consuming, so it is best to use a calculator or mathematical software for precise calculations. The result of 28 raised to the power of 24 is a large number.

Calculating the value, we find:

[tex]28^{24} = 1.6571 x 10^{34}[/tex]

Thus, when x = 28, the value of [tex]x^{24}[/tex] is approximately [tex]1.6571 x 10^{34}[/tex].

In summary, the value of [tex]x^{24}[/tex], where x is a positive real number and x = 28, is approximately [tex]1.6571 x {10^34}[/tex].

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Answer:

k=4

Step-by-step explanation:

First, we can subtract 3k on both sides. It is ultimately easier to start by subtracting the term with a variable. This would result in 45=5k+25. Then, we can subtract 25 on both sides to get closer to isolating k. This becomes 20=5k. We can then divide by 5 on both sides. This means that k=4.

Answer:

4 = k

Step-by-step explanation:

3k+45=8k+25

Subtract 3k from each side

3k-3k+45=8k-3k+25

45 = 5k+25

Subtract 25 from each side

45-25 = 5k+25-25

20 = 5k

Divide by 5

20/5 = 5k/5

4 = k

Step-by-step explanation:

To convert liters to centiliters, we need to remember that 1 liter is equal to 100 centiliters. Therefore, a 4 liter jug of Swadleys Sweeter than Honey Iced Tea contains:

4 liters = 4 x 100 centiliters/liter = 400 centiliters

So there are 400 centiliters in a 4 liter jug of Swadleys Sweeter than Honey Iced Tea.

Answer:

undefined

Step-by-step explanation:

We can find the slope using two points

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

   = ( 8-4)/(-10 - -10)

   = ( 8-4)/(-10 +10)

   = 4/0

Since we are dividing by zero, the slope is undefined

Answer:

5(2)+5(7)

Step-by-step explanation:

Answer:

exponentail is 0 times f(x) + x

Step-by-step explanation:

Answer:

Step-by-step explanation:

in cases where we're not given x = 0, we can use division

[tex]f(x) = a*b^x\\12 = a*b^2\\48 = a*b^4\\\frac{48}{12}=\frac{ab^4}{ab^2} \\4 = b^2\\b = \pm2\\12 = a * (2)^2\\12 = 4a\\a = 3\\so\\f(x) = 3(2)^n \\or\\f(x) = 3(-2)^n\\[/tex]

since we're never given a case where x's parity is odd, we cannot determine the positivity/negativity of the common ratio

Using the concept of combining like terms, the expression is simplified as 5/8t + 9 which is option A

To simplify the expression (7/8t + 9 - 2/8t), we can combine like terms.

First, let's combine the terms with the variable "t." We have (7/8t - 2/8t).

To combine these terms, we need to have a common denominator, which is 8t.

Now, we can rewrite the expression as (7/8t - 2/8t + 9).

Combining the like terms (7/8t - 2/8t), we get (5/8t).

Now, we can rewrite the simplified expression as (5/8t + 9).

Therefore, the simplified expression of (7/8t + 9 - 2/8t) by combining like terms is (5/8t + 9).

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Answer:

Cost of each blank shirt is less than or equal to $ 5.5

Step-by-step explanation:

Let x denotes cost of each blank shirt.

Total number fo shirts bought by Tyina = 12

Amount charged for each shirt to have the club logo = $2.75

So,

Amount charged for 12 shirts to have the club logo = [tex]12(2.75)=\$33[/tex]

As Tyina cannot spend more than $99,

[tex]12x+33\leq 99[/tex]

Now solve the inequality.

[tex]12x+33\leq 99\\12x\leq 99-33\\12x\leq 66\\x\leq \frac{66}{12}\\ x\leq 5.5[/tex]

So,

Cost of each blank shirt is less than or equal to $ 5.5

Answer:

30208^2

Step-by-step explanation:

hope this helps

Answer:

2/3

Step-by-step explanation:

First,  find the slope of Line P

1. Slope = rise over run ([tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex])

[tex]\frac{2- (-4)}{-1-(-3)}[/tex] -> [tex]\frac{6}{-4}[/tex]

So the slope of Line P is  [tex]\frac{6}{-4}[/tex] or [tex]\frac{-3}{2}[/tex]

2. Find the negative reciprocal of Line P

*the product of two lines that are perpendicular to each other is -1

negative: [tex]\frac{3}{2}[/tex]

negative reciprocal: [tex]\frac{2}{3}[/tex]

So the slope of the line perpendicular to Line P is 2/3.

Check:

[tex]\frac{-3}{2}[/tex]* [tex]\frac{2}{3}[/tex]= -1

The slope of the line perpendicular to the line p passing through the point (−1, 2) and (−3,−4) will be -1/3

The formula for calculating the slope of a line is expressed as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]

If the slope of a line is "m", the slope of the line perpendicular will be -1/m

Given the coordinate points (−1, 2) and (−3,−4), we need to first get the slope of the line as shown:

[tex]m=\frac{-4-2}{-3+1}\\m=\frac{-6}{-2}\\m = 3[/tex]

The slope of the line perpendicular to the line will be -1/3

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Answer:

50/1

you are flipping it backwards

Step-by-step explanation:

We can distribute prizes in 17184279361888 ways when the prizes are identical such that either Alice or Bob or both receive a prize. We can distribute prizes in 345157879971232000 ways when the prizes are different.

Let us consider the two possible cases when the prizes are identical and different.

Case 1: Prizes are identical - In this case, we have ten prizes and 100 students. Since Alice and Bob are also among the students, we need to calculate the number of ways the prizes can be distributed such that either Alice or Bob or both receive a prize. We can use the complementary counting method to calculate this number of ways.

First, we find the total number of ways the prizes can be distributed without any restrictions. This is given by:

¹⁰⁰C₁₀ = 17310309456440 (the number of ways to choose 10 students from 100)

Now we find the number of ways the prizes can be distributed such that neither Alice nor Bob receives a prize. The number of ways the remaining 98 prizes can be distributed among the remaining 98 students is given by:

⁹⁸C₁₀ = 126410606437752 (the number of ways to choose 10 students from 98)

Hence, the number of ways the prizes can be distributed such that either Alice or Bob (or both) receive a prize is: 17310309456440 - 126410606437752 = 17184279361888

Case 2: Prizes are different - In this case, we also need to calculate the number of ways the prizes can be distributed such that either Alice or Bob or both receive a prize. However, since the prizes are different, the problem is slightly different.

Let us first calculate the total number of ways the prizes can be distributed without any restrictions.

This is given by: ¹⁰⁰P₁₀ = 9332621544394000000 (the number of ways to order 10 students from 100)

Now we need to subtract the number of ways the prizes can be distributed such that neither Alice nor Bob receives a prize. For Alice not to receive a prize, there are 9 prizes to choose from, and the remaining 98 students can be assigned the remaining 9 prizes in ⁹⁸P₉ ways.

Similarly, for Bob not to receive a prize, there are 9 prizes to choose from, and the remaining 98 students can be assigned the remaining 9 prizes in ⁹⁸P₉ ways. However, we have subtracted the number of ways Alice and Bob do not receive a prize twice, so we need to add this number back.

Hence, the number of ways the prizes can be distributed such that either Alice or Bob (or both) receive a prize is:

9332621544394000000 - 2(9 x ⁹⁸P₉ ) + 8 x ⁹⁷P₈ = 345157879971232000

We can distribute prizes in 17184279361888 ways when the prizes are identical such that either Alice or Bob or both receive a prize. We can distribute prizes in 345157879971232000 ways when the prizes are different such that either Alice or Bob or both receive a prize.

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1) To find the optimum quantities of X and Y that the consumer will purchase, we need to consider two conditions: the budget constraint and the utility maximization. The budget constraint can be expressed as Px*X + Py*Y = Income. Given that Px = 1, Py = 2, and Income = 300, the budget constraint becomes X + 2Y = 300. To maximize utility, we need to find the combination of X and Y that maximizes the utility function U = X*Y^2  Taking the derivative of U with respect to X and Y, we get dU/dX = Y^2 and dU/dY = 2XY. Setting dU/dX equal to the marginal rate of substitution (MRS), which is the ratio of prices (MRS = Px/Py), we have Y^2 = 1/2. Rearranging, we get Y = 1/sqrt(2). Setting dU/dY equal to the MRS, we have 2XY = 1/2. Substituting Y = 1/sqrt(2), we get X*(1/sqrt(2)) = 1/2. Solving for X, we find X = sqrt(2)/2. Therefore, the optimum quantities of X and Y that the consumer will purchase are X = sqrt(2)/2 and Y = 1/sqrt(2). 2) This combination of X and Y is an equilibrium in the sense that it maximizes the consumer's utility given the budget constraint and the prices of the goods. It represents the point where the consumer allocates their income between X and Y in a way that maximizes their overall satisfaction, taking into account the relative prices of the goods.

3) To find the maximum satisfaction, we substitute the optimum quantities of X and Y into the utility function. The maximum satisfaction is given by U = X*Y^2 = (sqrt(2)/2) * (1/sqrt(2))^2 = 1/2. Therefore, the maximum satisfaction that this utility-maximizing consumer can achieve is 1/2. 4) On the diagram, we can plot X on the x-axis and Y on the y-axis. The budget constraint can be represented by the line X + 2Y = 300. The optimum combination of X and Y, given by X = sqrt(2)/2 and Y = 1/sqrt(2), can be shown as a point on the diagram. Note: Unfortunately, as a text-based AI, I am unable to provide a visual diagram.

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(a) The presence of a confounding variable Z, such as the severity of the fire, could make the relationship between the number of firefighters (X) and property damage (Y) spurious.

(b) The presence of a confounding variable Z, such as the popularity of the incumbent member or the characteristics of the constituency, could make the relationship between campaign spending (X) and percentage of vote (Y) spurious.

(c) The presence of a confounding variable Z, such as the overall lifestyle or socioeconomic status of the women, could make the relationship between coffee consumption (X) and the risk of depression (Y) spurious.

(d) The presence of a confounding variable Z, such as the overall economic conditions or demand for rum in Havana, could make the relationship between Presbyterian ministers' salaries (X) and the price of rum (Y) spurious.

In each of the given examples, the reported pattern of covariation between X and Y may be influenced by a confounding variable Z. A confounding variable is a variable that is related to both the independent variable (X) and the dependent variable (Y), which can lead to a spurious relationship between X and Y.

The presence of a confounding variable can create the illusion of a direct relationship between X and Y when, in reality, the observed relationship is due to the influence of Z.

For example, in the case of firefighters and property damage, the severity of the fire (Z) could be the underlying factor driving both the number of firefighters and the extent of property damage.

Similarly, in the case of campaign spending and percentage of vote, factors such as the popularity of the incumbent member or the characteristics of the constituency (Z) could be influencing both variables.

In the case of coffee consumption and the risk of depression, other lifestyle or socioeconomic factors (Z) may be responsible for the observed relationship rather than coffee itself. And in the case of Presbyterian ministers' salaries and the price of rum, economic conditions or demand for rum (Z) in Havana could be driving both variables.

Identifying and controlling for confounding variables is crucial in research to ensure accurate interpretations of the relationship between X and Y. It allows researchers to isolate the true causal relationship between the variables of interest.

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