HELP i ned help with this please

Answer:

\(\displaystyle \sin\theta=\frac{12}{13}\)

Step-by-step explanation:

Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

\(\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\)

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

\(a^2+b^2=c^2\)

Let a be the adjacent side and b be the opposite side. c will be the hypotenuse.

Substitute:

\((5)^2+b^2=(13)^2\)

Solve for b:

\(b=\sqrt{169-25}=\sqrt{144}=12\)

So, the opposite side measures 12.

Then sine will be:

\(\displaystyle \sin\theta=\frac{12}{13}\)

To determine the similarity of triangles, the additional piece of information that is sufficient is the equality of the three corresponding angles of the triangles.

Two triangles are considered similar if their corresponding angles are equal and their corresponding sides are in proportion. Therefore, if we know that the three corresponding angles of two triangles are equal, we can conclude that the triangles are similar.

In more detail, when all three corresponding angles of two triangles are equal, it indicates that the triangles have the same shape, but possibly different sizes. The corresponding angles provide a significant piece of information for determining similarity, as they establish the fundamental property of having proportional sides.

It's important to note that additional information, such as the equality of corresponding sides or the proportionality of their lengths, is required to fully establish the similarity of triangles. Simply having the equality of angles does not guarantee similarity, as the corresponding sides also need to be proportional.

In summary, while knowing that the three corresponding angles of two triangles are equal is a necessary condition for similarity, it is not sufficient on its own. Additional information, such as the equality of corresponding sides or the proportionality of their lengths, is required to definitively determine the similarity of triangles.

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Answer:

6

Step-by-step explanation:

I made 2.4 a fraction got 5/2 then did 16 divided by 5/2 and got 6.4 so for the amount of whole pancakes it would be 6 with .4 ounces of flour left over

Answer:

A. what was the final score of the game last night

Step-by-step explanation:

Answer:

late but its how tall are the players

Step-by-step explanation:

got it right on a p ex

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because none of the lines go over each other or touch

Answer:

Below

Step-by-step explanation:

Circumference of a circle = pi * diameter

                             circumference of ferris wheel = 3.14159 * 520=1633.6 ft

Answer:

5, last option

Step-by-step explanation:

Sides to be calculated are equal as both are opposite same angles, are adjacent to common hypotenuse of right triangles

Imagine running a regression on the explanatory variable Z=2*X instead of X. The new value of would be 1/2 (1/n) times as large as the original.

When an explanatory variable is altered or perceived to have changed (for instance, the amount of caffeine drank), a response variable is what changes (e.g., reaction times). With other concepts used in research, the terms "explanatory variable" and "response variable" are sometimes used interchangeably. A research scientist variable is an influential factor when it comes to an experiment. It acts as a gauge for the transformation the response variable underwent. It serves as a barometer for the change the response variable underwent. Explanatory variables are commonly referred to as predictor variables or independent variables. The students also want to utilize height to gauge age. The explanatory variable in this instance is height, while the response variable is age.

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Suppose that a regression was performed on the explanatory variable Z = 2*X instead of X. The new value of the coefficient would be half as large as the original, or 0.5 times the original coefficient.

If the explanatory variable Z is a multiple of X in a regression, such as Z=2*X, the coefficient of X will be divided by the constant multiple (2). Therefore, if the original coefficient for X was 1, the new coefficient for Z will be 0.5. Suppose that a regression was performed on the explanatory variable Z = 2*X instead of X. The new value of the coefficient would be half as large as the original, or 0.5 times the original coefficient. This is because when the explanatory variable is multiplied by a constant (in this case, 2), the coefficient of the variable in the regression equation is divided by the same constant.

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Therefore, we can conclude that if A and B are non-empty sets of positive integers, then A + B is finite if and only if both A and B are finite.

The given problem is asking us to prove that A + B is finite if and only if both A and B are finite, where A and B are non-empty sets of positive integers. Let us try to prove this claim.Step 1: Prove that A + B is finite if A and B are finiteWe can prove this statement by contradiction. Let's assume that A and B are finite, but A + B is infinite. Since A and B are finite, they must have a maximum element, say a_0 and b_0. Then, A + B contains all the positive integers greater than or equal to a_0 + b_0. But this contradicts the assumption that A + B is infinite. Hence, A + B must be finite.Step 2: Prove that A + B is infinite if A or B is infiniteLet's assume that A is infinite and B is finite. We will show that A + B is infinite. Since A is infinite, we can find a_1 > a_0 such that a_1 ∈ A. Similarly, we can find b_1 ∈ B such that b_1 > b_0. Then, a_1 + b_1 > a_0 + b_0. Thus, A + B contains all the positive integers greater than or equal to a_1 + b_1, which means A + B is infinite. Similarly, we can prove that A + B is infinite if B is infinite. Hence, we have proved that A + B is finite if and only if both A and B are finite.Conclusion:Therefore, we can conclude that if A and B are non-empty sets of positive integers, then A + B is finite if and only if both A and B are finite.

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Answer:

x = 8

Explanation:

\(\frac{3x^2}{4} =48\)

multiply both sides by 4: \(3x^2=192\)

divide both sides by 3: \(x^2=64\)

take the square root:

\(\sqrt{x^2} = \sqrt{64} \\x=8\)

Answer:

According to khan academy it states that the answer is 35 and 32

Step-by-step explanation:

When I was on khan I used the guys answer on to of me and got it wrong. I promise that it is 35 and 6 because I multipled

Answer:

35 and 32

Step-by-step explanation:

35 goes in the first row and

35 in the second row.

i got the answer from khan academy

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Using the F distribution table or a calculator, we find the critical F value to be approximately 4.75 at a significance level of 0.05.  The f critical value is used in statistical hypothesis testing to determine whether the difference between two sample means or variances is statistically significant.

The critical F value can be determined using a statistical table or calculator. In this case, with four observations in the numerator and seven in the denominator, we need to find the critical F value at a specific significance level (e.g., α = 0.05).

To find the critical F value, we compare the calculated F statistic to the critical F value from the F distribution table. The calculated F statistic is the ratio of the variances of the two groups being compared.
Since we have four observations in the numerator and seven in the denominator, our degrees of freedom are (4-1) = 3 and (7-1) = 6, respectively.

Using the F distribution table or a calculator, we find the critical F value to be approximately 4.75 at a significance level of 0.05. This means that if the calculated F statistic exceeds 4.75, we can reject the null hypothesis and conclude that there is a significant difference between the variances of the two groups.

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A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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Answer:i think its 115 degres

Step-by-step explanation:

Answer:

$23.64

Step-by-step explanation:

Answer:

$23.64

Step-by-step explanation:

Divide the total cost by the four tickets to get the price of one ticket

94.56/4=23.64

Answer: I got 29

Step-by-step explanation:

You would plug in 4 in all the spots where the x's are and then solve the problem

The statement describes the percentage of people in the nation who eat out without making any inferences or assumptions.

The statement made by the person is a descriptive statement. This means that the statement simply describes the percentage of people in the nation who always eat out. It does not make any assumptions or inferences based on the data or evidence given. A descriptive statement is one that simply states facts or information without making any assumptions or interpretations about it. It is important to note that a descriptive statement does not imply any cause and effect relationship between the facts or data given. For example, in this statement, there is no inference being made that the people who eat out are healthier or more likely to be successful than people who don't eat out. It is simply stating the percentage of people in the nation who always eat out.

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Is the relation a function: C. No, because for each input there is not exactly one output.

In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (12) is mapped to multiple dependent values (-4 and -2), we can logically deduce that the relation does not represent a function.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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The prime costs per unit (rounded to the nearest cent) for September were  $7.05 per unit.

In economics, total cost is the sum of all costs a company incurs in generating a certain output level.

Now, as per the question;

Prime cost = (cost of direct material + cost of direct labour)/number of units.

Cost of direct materials used = $66,000

Cost of direct labour = $75,000

Number of units = 20,000

Substituting the values;

= ($66,000 + $75,000) / 20,000 units

= $141,000 / 20,000 units

= $7.05 per unit

Thus, the prime cost per unit in September is found to be $7.05 per unit.

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In the given statement is:

You conduct a survey of your small town about having a town wide gargae sale. of those surveyed, 56% are in favor and 44% are opposed. the actual percent could be 5% more or 5% less than the acquired results.

Using the absolute value function, we have that:

A. The least percentage is of 39% and the greatest is of 49%.

B. Since the greatest percentage is below 50%, the statement conflicts with the survey data.

What is the absolute value function?

The absolute function is defined by:

It measures the distance of a point x to the origin.

For this problem, the difference between the percentage of opposed and 44% can be of at most 5%, hence the absolute value equation is:

|x - 44| = 5.

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c. If all subsets of {A,B,C,D} are closed, every attribute determines itself and all other attributes. e. If only the closed subsets are {}, {B,C}, and {A,B,C,D}, it implies B and C determine themselves and each other, while A determines all attributes.

c. All subsets of {A,B,C,D} are closed.

If all subsets of {A,B,C,D} are closed, it implies that every attribute determines itself and all other attributes. This can be represented by the following set of functional dependencies:

{A → A, B → B, C → C, D → D, AB → AB, AC → AC, AD → AD, BC → BC, BD → BD, CD → CD, ABC → ABC, ABD → ABD, ACD → ACD, BCD → BCD, ABCD → ABCD}

d. The only closed subsets of {A,B,C,D} are {} and {A,B,C,D}.

If only the empty set {} and the set {A,B,C,D} are closed, it implies that no other attribute or combination of attributes determines any other attribute or combination of attributes. In this case, there are no non-trivial functional dependencies. Therefore, the set of functional dependencies consistent with this closure is:

{}e. The only closed subsets of {A,B,C,D} are {}, {B,C}, and {A,B,C,D}.

If only the empty set {}, the set {B,C}, and the set {A,B,C,D} are closed, it implies that the attribute B and C together determine themselves and each other, while the attribute A determines all attributes. This can be represented by the following set of functional dependencies:

{A → A, A → B, A → C, A → D, BC → B, BC → C, B → B, B → C, C → B, C → C, D → D}

These functional dependencies ensure that the only closed subsets are {}, {B,C}, and {A,B,C,D}.

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Answer: 104

Step-by-step explanation:

A percent divided by 100 becomes a decimal.

      40% / 100 = 0.4

Next, "of" ("de") means multiplication in mathematics.

      0.4 * 260 = 104

The higher-order derivative f⁽⁸⁾(x) is equal to 0.

The given information states that the second derivative of the function f(x) is equal to sin(x), which implies f''(x) = sin(x).

When we take the eighth derivative of both sides, we find:

f⁽⁸⁾(x) = (sin(x))⁽⁸⁾.

Now, the eighth derivative of sin(x) is zero because the derivatives of sin(x) follow a periodic pattern, and after eight derivatives, it returns to its original form. The derivatives of sin(x) with respect to x are as follows:

d(sin(x))/dx = cos(x)

d²(sin(x))/dx² = -sin(x)

d³(sin(x))/dx³ = -cos(x)

d⁴(sin(x))/dx⁴ = sin(x)

d⁵(sin(x))/dx⁵ = cos(x)

d⁶(sin(x))/dx⁶ = -sin(x)

d⁷(sin(x))/dx⁷ = -cos(x)

d⁸(sin(x))/dx⁸ = sin(x).

As we can see, the eighth derivative of sin(x) is sin(x), which means f⁽⁸⁾(x) = sin(x) = 0.

Therefore, the value of f⁽⁸⁾(x) is 0.

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Answer:

10y+ 21 ≥ 16

Step-by-step explanation:

Answer:

See the explanation bellow

Step-by-step explanation:

Given data

We are told that Mary earns $7.25 an hour

The function for her salary is s = 7.25h

s is a function of h because h is the time, and s a dependent variable on the time, the longer she works the more money she makes