expect a ton of trigonometry questions from this account. i know absolutely nothing

Answer:

70

Step-by-step explanation:

Given

∠PDB = 110°

PDis the tangent to the circle whose centre is E

Construction

Join points D and E.

∠DPE= 90° [Since angle in a semi circle is 90°]

Also ∠PDE = 90° [Since radius ⊥ tangent]

From the figure we have,

∠PDB=∠PDE + ∠DBE

i.e. 110° = 90° + ∠DBE

Therefore, ∠DBE =20°

Now in ΔBED, BE = ED [Radii]

So, ∠EDB = ∠EBD =20°

In ΔBPD, we have

∠DPE = 90° & ∠DBE = 20°

Therefore, ∠DPB = 70°

Answer:

70 is the correct answer

Step-by-step explanation:

The equation to represent the proportional relationship is c = 0.25d

Let c = the number of cans

Let d = the number of days

So, we have:

c = kd

Where k represents the constant of proportionality.

From the given parameters, we have:

3 = 12k

Divide both sides by 12

k = 0.25

Substitute k = 0.25 in c = kd

c = 0.25d

Hence, the equation to represent the proportional relationship is c = 0.25d

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Answer:

5

Step-by-step explanation:

divide -15 by -3 to get 5

a^6/a^6 = a^0 = 1

Answer:

i think 5

Step-by-step explanation:

To write the expression in its simplest form, we need to simplify each term and then combine like terms.

The first term of the expression is 2x²y. This term is already in its simplest form and doesn't require any further simplification.

The second term of the expression is xy. This term is also in its simplest form and doesn't require any further simplification.

The third term of the expression is -3x. This term is also in its simplest form and doesn't require any further simplification.

The fourth term of the expression is 12x.xy. To simplify this term, we need to distribute the 12 over the x and y. So, we get 12x.y.

Now that all terms are simplified, we can combine like terms. Since the terms xy and 12x.y are the same, we can add them together to get (12+1)xy = 13xy.

So, the expression in its simplest form is 2x²y + 13xy - 3x.

We can further simplify the above expression by combining x²y and xy together as (x²+1)xy = x³y

So, the final expression in its simplest form is x³y + 13xy - 3x.

Answer:

7 to the power of 3/2

Step-by-step explanation:

7 is the same as 7¹ and \(\sqrt{7}\) is the same as 7 to the power of 1/2

since the bases are both 7, we keep the base and add the exponents when we multiply with exponents, giving us:

7 to the power of 3/2

In the given simple model of the nucleus, protons and neutrons are considered to be confined within a one-dimensional box of length 11 fm (femtometers).

This model provides a simplified representation of the nucleus to understand certain aspects of its behavior. The choice of a one-dimensional box is a simplification to facilitate calculations and provide insights into the spatial distribution of nucleons within the nucleus. In reality, the actual structure of the nucleus is much more complex, involving interactions between nucleons, quantum mechanical effects, and three-dimensional spatial arrangements. The diameter of the nucleus, which is about 11 fm, represents the extent of the nuclear volume in this model. It provides an approximation of the average distance between the furthest nucleons within the nucleus.

By treating protons and neutrons as confined particles within the one-dimensional box, we can investigate certain properties such as energy levels, spatial distribution, and behavior of nucleons within this limited space. However, it is important to note that this model neglects several critical aspects, including the repulsive interactions between protons, the quantum mechanical nature of nucleons, and the three-dimensional nature of the nucleus. While the simple one-dimensional box model of the nucleus is useful for gaining a basic understanding and performing calculations in certain scenarios, it is essential to recognize its limitations and consider more sophisticated models when dealing with the intricacies of nuclear structure and behavior.

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The main answer is that it takes Cindy 4 hours to weed the garden alone, which was found using the equation 1/x + 1/(3x) = 1/6 where x is the time it takes Cindy to weed the garden alone.

Let x be the time it takes Cindy to weed the garden alone. Then, it takes Tom 3x time to weed the garden alone. Using the formula for the work done by each person, we can create an equation in terms of x:

1/x + 1/(3x) = 1/6

Solving for x, we get:

x = 4 hours

Therefore, it takes Cindy 4 hours to weed the garden alone.

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Answer:

13x^2+26x

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{3x^2 + 21x + 5x + 10x^2}}\)

\(\huge\boxed{\text{COMBINE the LIKE TERMS}}\)

\(\large\boxed{\mathsf{= (3x^2 + 10x^2) + (21x + 5x)}}\)

\(\large\boxed{\rm{3x^2 + 10x^2 = \bf 13x^2}}\)

\(\large\boxed{\rm{21x + 5x = \bf 26x }}\)

\(\large\boxed{\mathsf{= 13x^2 + 26x}}\)

\(\huge\boxed{\rm{Answer: \mathsf{13x^2 + 26}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

In the following question, among the conditions given, With digit combinations, there are 16,807 different 5-digit sequences that can be formed using the digits 0, 1,...,6 if repetition of digits is allowed.

To solve this problem, we can use the fundamental counting principle or multiplication rule. It states that if there are m ways to do one thing, and n ways to do another thing, then there are m*n ways to do both things. Therefore, to find the number of different 5-digit sequences that can be formed using the digits 0, 1,...,6 if repetition of digits is allowed, we can multiply the number of choices at each position. Since repetition is allowed, each of the five positions has 7 possible digits (0, 1, 2, 3, 4, 5, or 6). Thus, the total number of possible 5-digit sequences is:7 × 7 × 7 × 7 × 7 = 7^5 = 16,807Therefore, there are 16,807 different 5-digit sequences that can be formed using the digits 0, 1,...,6 if repetition of digits is allowed.

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There are 16,807 different 5-digit sequences that can be formed using the digits 0, 1,...,6 if repetition of digits is allowed.

To find out the number of different 5-digit sequences that can be formed using the digits 0, 1,...,6 if repetition of digits is allowed, we can use the fundamental principle of counting or multiplication principle.The fundamental principle of counting states that if there are n different ways of performing the first task, and for each of these n ways of performing the first task there are m different ways of performing the second task, then the total number of different ways of performing both tasks is n x m.

To apply this principle to this problem, we can consider each digit in the 5-digit sequence as a task. The first task is to choose a digit from 0, 1,...,6, which can be done in 7 ways since there are 7 digits to choose from. Similarly, for each of the first 5 digits, there are 7 ways to choose a digit from 0, 1,...,6, so the total number of different 5-digit sequences that can be formed with repetition of digits allowed is 7 x 7 x 7 x 7 x 7 = 7^5 = 16,807.

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The set of equations that corresponds to the specified function are

y = 5 - x and 5 - x = 9x².

What is linear equation in two variables?

If an equation is expressed as ax + by + c=0, where a, b, and c are all real integers and a and b, the coefficients of x and y, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

The given equation is :

\(y=9x^{2}\) equation 1.

\(x+y=5\) equation 2.

From equation 2.

\(x+y=5\\y=5-x\)

substituting into 1 equation.

\(5-x=9x^{2}\)

The system of equations that is equivalent to the provided function is shown by the resulting equation, which is y = 5 - x and \(5-x=9x^{2}\)

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Answer:

1. f

2. a

3. b

4. e

5. c

6. d

1. I figured out how to order them by using the distance formula to calculate how far each point was, from the other.

2. (1, -10) and (1, -11)

3. (1, -10) and (1, 11)

Step-by-step explanation:

Using Letter A, as example:

To calculate the distance between the points, you use the formula:

\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(d = \sqrt{(2-2)^2+(10-4)^2}\)

\(d = \sqrt{0 + 36}\)

d = 6

Just do the same thing (plug in the numbers into the formula), and you should be able to get the correct answers.

Answer: 2+2=4 lol

Step-by-step explanation:

1+1=2

2+2=4

Answer:

4

Step-by-step explanation:

put up 2 fingers then put 2 more up then count you should have 4 fingers up

Answer:

73°

Step-by-step explanation:

the measure of two complementary angles add up to 90

so We need to solve this equation to get the measure of its complementary angle :

x + 17 = 90

then

x = 90 - 17

  = 73

Answer:

Silurian, Triassic, Jurassic, Tertiary

Step-by-step explanation:

Convert 6.64 so that is is 10\(^8\)

So you'll have 0.664 × 10\(^8\)

Then you can just order them from largest to smallest :)

If it doesn't make sense you can also convert the index notation (the powers with 10) into whole numbers so

2.08 × 10\(^8\) = 2.08 × 100000000 = 208000000

and so on..

The beta of the portfolio is 1.57352.

Let's say that Stock a weighs x and Stock b weighs y. (1 - x)

Portfolio Return = Weight of Stock a * Return of Stock a + Weight of Stock b* Return of Stock b

0.136 = x * 0.114 + (1 - x) * 0.0868

0.136 = x * 0.114 + 0.0868 - x * 0.0868

0.136= x * 0.0272 + 0.0868

0.0492 = x * 0.0272

x =1.8088

The weight of the stock a is 1.8088

The weight of the stock b is 1-1.8088= -0.8088

Amount Invested in Stock b = $100,000 * (-0.8088)

Amount Invested in Stock Y = -$-80880

Portfolio Beta = Weight of Stock X * Beta of Stock X + Weight of Stock Y * Beta of Stock Y

Portfolio Beta = 1.8088 * 1.25 + (-0.8088) * 0.85

Portfolio Beta = 1.57352

Therefore, the value of the beta of the portfolio is 1.57352.

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Answer:

Linear! :)

Step-by-step explanation:

Answer:

wheres the gragh?

Step-by-step explanation:

In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.

Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.

Given:

Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)

Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)

T-statistic: t = 2.73

Degrees οf freedοm: df = 5

Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.

Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.

Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.

Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).

Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:

p-value = 0.0257 / 2 = 0.01285

Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.

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Answer:

okay so to figure out a perfect square a number has to be outlined by itself. 8 is not. 4 is because 2 times itself is 4. 81 is because 9 time itself is 81. 44 is not. 49 is because 7 times itself is 49. 125 is not. 150 is not. 144 is because 12 times itself is 144.

The equation of the line that passes through (8, -5) and is parallel to the graphed line is y = (1/4)x - 7.

To find the equation of a line that is parallel to the graphed line and passes through the point (8, -5), we need to determine the slope of the given line first.

Since the parallel line has the same slope as the given line, we can use the point-slope form of a linear equation to find the equation of the parallel line.

The point-slope form is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope.

In this case, we have the point (8, -5) and we need to find the slope of the given line.

Let's assume the given line passes through the point (4, -6).

Using the slope formula:

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

m = (-6 - (-5)) / (4 - 8)

m = (-6 + 5) / (-4)

m = -1 / -4

m = 1/4

Now that we have the slope, we can substitute the values into the point-slope form:

y - (-5) = (1/4)(x - 8)

Simplifying the equation:

y + 5 = (1/4)x - 2

Subtracting 5 from both sides:

y = (1/4)x - 7

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The inverse equations are F(x)⁻¹ = ( x - 2 ) / 5and F(x)⁻¹ = 5x + 2.

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable. In an inverse function, the value of two variables x and y are interchanged, and then the value of y is given an inverse function.

Given that the two equations are y= 1/2X+10 and y= -8X+3. The value of inverse functions will be calculated by replacing the x and y values and solving for y,

f(x)=5x+2

x = 5y + 2

y = ( x - 2 ) / 5

The inverse of the second equation is calculated as,

g(x)=(x-2)/5

x = ( y - 2 ) / 5

y = 5x + 2

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Answer:

A:

Step-by-step explanation:

1.06; This indicates that the line of best fit is accurate and a good model for prediction. Is the best choice for this question.

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

At point (4, 6), we have;

y = 1.46x − 0.76.

y = 1.46(4) − 0.76.

y = 5.08

Residual value = 6 - 5.08

Residual value = 0.92.

At point (6, 7), we have;

y = 1.46x − 0.76.

y = 1.46(6) − 0.76.

y = 8

Residual value = 7 - 8

Residual value = -1.

At point (7, 8), we have;

y = 1.46x − 0.76.

y = 1.46(7) − 0.76.

y = 9.46

Residual value = 8 - 9.46

Residual value = -1.46.

At point (9, 13), we have;

y = 1.46x − 0.76.

y = 1.46(9) − 0.76.

y = 12.38

Residual value = 13 - 12.38

Residual value = 0.62.

At point (10, 14), we have;

y = 1.46x − 0.76.

y = 1.46(10) − 0.76.

y = 13.84

Residual value = 14 - 13.84

Residual value = 0.16.

At point (11, 15), we have;

y = 1.46x − 0.76.

y = 1.46(11) − 0.76.

y = 15.3

Residual value = 15 - 15.3

Residual value = -0.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = 0.92 - 1 - 1.46 + 0.62 + 0.16 - 0.3

Sum of the residuals = -1.06.

Or

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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The probability of selecting at least one defective item at random is 0.3017.

The probability of an event occurring at least once will be calculated as the complement of the probability of the event never occurring. You can use exponents to multiply the number of events that occurred when calculating this amount.

Defect rate = P(defect) = 0.05

Probability is defined as the required outcome divided by the total number of possible outcomes.

P( at least 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.05 = 0.95

P(none is defective) = P(non defective)^7

P(none defective) = 0.95× 0.95 × 0.95 × 0.95 × 0.95× 0.95× 0.95=0.6983

P(at least one is defective) = 1 - 0.6983 = 0.3017

Therefore, probability of at least one defective item is 0.3017.

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Answer: 50

Step-by-step explanation:

400 ÷ 8 = 50

Answer:

50 or A

Step-by-step explanation:

-120

x/-4=30

x=30×-4

x=-120

Answer:

y=5x-12

Step-by-step explanation:

the slope is 5 and y int. is -12