Which recursive formula represents the sequence that represents the pattern?

The measure of the minor arc BE is 104⁰.

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.

This implies that;

∠APE = ∠ EPD = x

2x + 55 + 41 + 166 = 360 ( sum of angles in a circle)

2x + 262 = 360

2x = 98

x = 98 / 2

x = 49⁰

The measure of the minor arc BE is calculated as;

BE = 55⁰ + 49⁰

BE = 104⁰

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Answer:

The very first one is decay and the rest are growth

Step-by-step explanation:

Im SO sorry if i got it wrong

I REALLY hope this helped

Best of luck

Answer:

answer attached: x = 5√2

Step-by-step explanation:

Answer:

Step-by-step explanation:

All of the right triangles are similar. This means ...

  long side / short side = x/2 = 25/x

Multiplying by 2x gives ...

  x² = 25·2

  x = (√25)(√2)

  x = 5√2

_____

Additional comment

The "geometric mean" of 'a' and 'b' is √(ab). With this in mind, you can see that x is the geometric mean of the lengths 2 and 25. This is always true for this right-triangle geometry.

There are two other geometric mean relations in this geometry, having to do with the other possible ratios of sides. In effect, the length of a segment that touches the hypotenuse (longest side) of the triangle is the geometric mean of the two segments of the hypotenuse it touches.

Left side = √(2·27) = 3√6

Bottom side = √(25·27) = 15√3

Answer:

x = 25.46

Step-by-step explanation:

\(x^2+9^2=27^2\\x^2+81=729\\x^2=648\\\sqrt{x^2} =\sqrt{648} \\x=25.46\)

Answer:

$14.70

Step-by-step explanation:

Using Distributive Property, the two expressions that is equal to 72 are

3(10+14) and 4(5+13).

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. The operations includes sum, Difference, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

Now,

The expressions using distributive property can be

3(10+14)=3*10+3*14

            =30+42

            =72

4(5+13)=4*5+4*13

            =20+52

           =72

Hence,

            the two expressions that is equal to 72 are 3(10+14) and 4(5+13).

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Answer:

-5x-1

Step-by-step explanation:

The given differential equation is y(8x + y + 8)dx + (8x + 2y)dy = 0.

To solve this equation, we can use the integrating factor method. First, we identify the coefficients of dx and dy, which are y(8x + y + 8) and (8x + 2y), respectively. Then, we compare the equation with the standard form of a first-order linear differential equation, which is M(x, y)dx + N(x, y)dy = 0.

In our equation, M(x, y) = y(8x + y + 8) and N(x, y) = (8x + 2y). We can see that the coefficient of dy is not a function of x only, so we need to find an integrating factor.

The integrating factor (IF) can be found by multiplying both sides of the equation by the appropriate function. In this case, the integrating factor is \(e^{(f(N - M)/N dx).\)

By substituting the given values of M(x, y) and N(x, y) into the formula for the integrating factor, we can calculate the integrating factor and proceed with solving the differential equation.

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To find the rate at which the radius of the oil spill is increasing when the area is 7 mi^2, dr/dt ≈ 0.203 mi/hr the area of the spill is 7 mi^2, dr/dt ≈ 0.203 mi/hr the radius is increasing at a rate of 0.203 mi/hr.

Where A is area and r is the radius. Taking the derivative of both sides with respect to time, we can express the rate of change of the area as dA/dt = 2πr(dr/dt). Given that dA/dt is constant at 8.5 mi^2/hr, we can substitute the values to find the rate at which the radius is increasing.

We have the equation dA/dt = 2πr(dr/dt), where dA/dt represents the rate of change of the area, r is the radius, and dr/dt is the rate at which the radius is changing. We are given that dA/dt is constant at 8.5 mi^2/hr. When the area is 7 mi^2, we can substitute these values into the equation: 8.5 = 2π(7)(dr/dt)

Simplifying the equation, we can solve for dr/dt: dr/dt = 8.5 / (2π(7)) Evaluating the expression, we find: dr/dt ≈ 0.203 mi/hr

Therefore, when the area of the spill is 7 mi^2, the radius is increasing at a rate of approximately 0.203 mi/hr.

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There are 54,912 different combinations for a three of a kind hand in poker.

To calculate the number of combinations for a three of a kind hand in poker, we need to consider the following:

Choose the rank of the three-of-a-kind: There are 13 ranks in a standard deck of cards, so we have 13 options.

Choose the three cards of the chosen rank: There are 4 cards of each rank in a deck, so we can choose 3 cards from the 4 available. This can be calculated as a combination, denoted as "4 choose 3," which is equal to C(4, 3) = 4.

Choose the ranks for the remaining two cards: We have 12 remaining ranks to choose from, excluding the rank of the three-of-a-kind. We need two different ranks, so this can be calculated as a combination, denoted as "12 choose 2," which is equal to C(12, 2) = 66.

Choose the two cards of the chosen ranks: For each of the chosen ranks, there are 4 cards available. So, we can choose 1 card from each rank, resulting in 4 × 4 = 16 possible combinations.

To find the total number of combinations, we multiply the individual choices:

Total combinations = 13 × 4 × 66 × 16 = 54,912 combinations.

Therefore, there are 54,912 different combinations for a three of a kind hand in poker.

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The derivative of the function at the given point in the direction of A is found by evaluating the directional derivative, which requires the partial derivatives of the function. Once these are calculated, the directional derivative can be evaluated at the given point. The derivative of the function at the given point in the direction of A is D_A(f(x,y)) = (∂f/∂x)(3) + (∂f/∂y)(-4).  

The derivative of the function at the given point in the direction of A is calculated using the directional derivative. The directional derivative of a function is the derivative in the direction of a given vector.

Let f(x,y) be the function. Then the derivative in the direction of A is given by:

D_A(f(x,y)) = (∂f/∂x)(A_x) + (∂f/∂y)(A_y)

where A_x = 3 and A_y = -4.

Therefore, the derivative of the function at the given point in the direction of A is D_A(f(x,y)) = (∂f/∂x)(3) + (∂f/∂y)(-4).

To find the numerical value of the directional derivative, the partial derivatives of the function must be calculated. These can then be used to evaluate the directional derivative at the given point.

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Answer:

option d.......................

Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)

A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.

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Predicting an individual's annual income is generally easier than predicting the average annual income in a random sample.

This is because individual income is influenced by a combination of personal characteristics, whereas the average income in a random sample is influenced by a wider range of factors, including sample composition and variability.

Predicting an individual's annual income is typically easier due to several reasons. Firstly, individual income is often influenced by personal characteristics such as education, work experience, occupation, and skills, which can be relatively easier to measure and obtain data on. These variables provide important information that can be used to predict an individual's income level.

On the other hand, predicting the average annual income in a random sample is more challenging. The average income in a sample is influenced not only by individual characteristics but also by other factors such as the sample composition and the variability within the sample. The composition of the sample, including factors like age distribution, gender balance, and geographical location, can significantly affect the average income. Additionally, the variability within the sample, including differences in income levels and income distribution, can introduce additional uncertainty and make predictions less accurate.

Overall, while predicting an individual's annual income can be challenging, it is generally easier compared to predicting the average annual income in a random sample. Individual income is influenced by a narrower set of factors, making it more predictable, whereas the average income in a sample is influenced by a wider range of variables, introducing more complexity into the prediction process.

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Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

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The citizens of a state may only register to vote after proving to have submitted their census survey is a "false" statement.

In order to create statistics that define populations and their characteristics, such as age, education, housing, and income, the U.S. Census Bureau compiles data from households.

The purpose of census survey are-

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The complete question is-

The citizens of a state may only register to vote after proving to have submitted their census survey.(True/False)

Step-by-step explanation:

9x+6x=135

15x=135

x=9

9x=81

6x=54

A 12 square-meter rug of the same material would cost $79.20.

To find out how much a 12 square-meter rug of the same material would cost, we can set up a proportion based on the area and cost relationship of the rugs.

Let's denote the cost of the 12 square-meter rug as 'x.'

We have the following proportion:

20 square meters : $132 = 12 square meters : x

To solve this proportion, we can cross-multiply:

20 square meters * x = 12 square meters * $132

20x = 12 * $132

20x = $1584

Now, we can solve for 'x' by dividing both sides of the equation by 20:

x = $1584 / 20

x = $79.20

Therefore, a 12 square-meter rug of the same material would cost $79.20.

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The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

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Answer:

Step-by-step explanation:

y=-3x  has slope -3 and y intercept = 0

Answer:

y=-3x  has slope -3 and y intercept = 0

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

120/100 =

12/10 =

6/5

Answer:

$69 i think im not smart

Step-by-step explanation:

Answer:

The coordinates of the vertices of triangle A'B'C' are \(A'(x,y) = (0,-4)\), \(B'(x,y) = (2,-1)\) and \(C'(x,y) = (3,-5)\).

Step-by-step explanation:

According to this statement, triangle ABC must be translated 5 units in the -y direction to form triangle A'B'C'. We need to use the following operations:

\(A'(x,y) = A(x,y) +(0,-5)\) (1)

\(B'(x,y) = B(x,y) +(0,-5)\) (2)

\(C'(x,y) = C(x,y) + (0,-5)\) (3)

If we know that \(A(x,y) = (0,1)\), \(B(x,y) = (2,4)\) and \(C(x,y) = (3,0)\), then the new  vertices of the rectangle are, respectively:

\(A'(x,y) = (0,-4)\), \(B'(x,y) = (2,-1)\), \(C'(x,y) = (3,-5)\)

Answer:

x ≥ - 7

Step-by-step explanation:

3(x - 4) ≥ 5x + 2

3x - 12 ≥ 5x + 2

3x - 12 + 12 ≥ 5x + 2 + 12

3x - 5x ≥ 5x - 5x + 14

- 2x ≥ 14

- 2x ÷ - 2 ≥ 14 ÷ - 2

x ≥ - 7

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

9 preregistered

Step-by-step explanation:

It is saying that 17 went in total, but 8 of those 17 didn't register, but how many did, so:

17 - 8 = 9

The positive root of the quadratic equation is x = 7.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the quadratic equation is x² − 5x = 14. The equation will be solved as below,

x² − 5x = 14

x² − 5x - 14 = 0

x² − 7x + 2x- 14 = 0

x(x-7) + 2 (x-7) = 0

(x - 7 ) ( x + 2 ) =0

x = 7

x = -2

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The decision-making process involved in Mikaela's decision to attend a Zumba class on Tuesday and Thursday afternoons and make it her regular exercise routine is "escalation."

In the scenario described, Mikaela initially started attending the Zumba class on Tuesday and Thursday afternoons. She found that it gave her a good workout and was satisfied with the results. As a result, she continued attending the class on those days and made it her regular exercise routine. This decision to stick to the same schedule without considering other options or making changes over time is an example of escalation.

Escalation in decision-making refers to the tendency to persist with a chosen course of action even if it may not be the most optimal or efficient choice. It occurs when individuals continue to invest time, effort, and resources into a decision or course of action, even if there may be better alternatives available. In this case, Mikaela has decided to stick with the Zumba class on Tuesday and Thursday afternoons because she found it effective and enjoyable, and she hasn't explored other exercise options since then.

It's important to note that escalation may not always be the best approach in decision-making. It's always a good idea to periodically reassess and evaluate the choices we make to ensure they still align with our goals and needs. Mikaela might benefit from periodically evaluating her exercise routine to see if it still meets her fitness goals and if there are other options she could explore for variety or improved results.

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Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student