hello could someone explain the law of sines to me?

A two-step equation is an equation which needs two steps to solve.

In this case, answer choice "C" is a two-step equation.

2x + 9 = 21. Subtract 9 from both sides

2x = 12. Divide both sides by 2.

x = 6.

Answer choice "B" just gives us the answer.

Answer choice "A" needs only one step to solve the equation.

x + 9 = 21. Subtract 9 from both sides.

x = 12.

The equation with two-step solution is x +9=21.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

A) x+ 9 = 21

Subtract 9 from both side we get

x +9 -9 = 21 -9

x = 12

B) x = 11

C) 2x + 9 = 21

Subtract 9 from both side we get

2x = 12

Divide both side by 2

x = 6.

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In the context of statistics, a statistic refers to a numerical value that is calculated from a sample of data, while a parameter refers to a numerical value that describes a population.

In the given scenario, the number of birds in different regions can be considered as either a statistic or a parameter depending on the context in which it is used.

If the number of birds is obtained by counting the birds in a specific region and then calculating summary measures such as the mean, median, or standard deviation based on that sample, then it would be considered a statistic. This is because the data is collected from a subset (sample) of the entire population of birds.

On the other hand, if the number of birds represents the total count or an average count across all regions without any sampling involved, then it would be considered a parameter. In this case, the value represents a characteristic of the entire population of birds in different regions.

It is important to note that whether the number of birds is considered a statistic or a parameter depends on how the data is collected and analyzed.

If multiple samples are taken from different regions and statistical inference techniques are used to make inferences about the entire population, then it would be appropriate to consider it as a statistic. However, if the data represents a complete count or an average across all regions without any sampling involved, then it would be considered a parameter.

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Answer: C

Step-by-step explanation:

See attached image.

Answer:

A Lucia le sobró dinero y la cantidad que sobró es: 488 pesos.

Step-by-step explanation:

Para determinar si le faltó o le sobro dinero, debes determinar el costo total de lo que compró multiplicando el precio de cada artículo por la cantidad comprada y sumando estos valores:

(60*12)+(156*7)+(350*2)=720+1092+700=2512

Dado que pagó con 3000 pesos y el costo total de lo que compró es de 2512 pesos y este valor es menor que 3000 en 488 pesos, la respuesta es que le sobró dinero.

Derek must give the bank approximately $26,695.78 to pay off his car loan after 11 months. To calculate how much Derek must give the bank to pay off his car loan after 11 months, we need to consider the principal amount borrowed, the interest rate, the loan term, and the number of payments made.

Derek borrows $30,924.00 to buy a car, and he will make monthly payments for 6 years. The interest rate is 5.89%.

First, we need to calculate the monthly interest rate. We divide the annual interest rate by 12 (number of months in a year) and convert it to a decimal:

Monthly interest rate = 5.89% / 12 = 0.4908%

Next, we calculate the number of payments made up to the point when Derek decides to pay off the loan. In this case, he makes payments for 11 months.

Now, let's calculate the remaining balance on the car loan using the formula for the remaining balance on an amortizing loan:

Remaining balance = Principal * [(1 + r)^n - (1 + r)^p] / [(1 + r)^n - 1]

Where:

Principal = $30,924.00 (initial loan amount)

r = Monthly interest rate (0.004908)

n = Total number of payments (6 years * 12 months per year = 72 payments)

p = Payments made (11 payments already)

Substituting the values into the formula, we have:

Remaining balance = $30,924.00 * [(1 + 0.004908)^72 - (1 + 0.004908)^11] / [(1 + 0.004908)^72 - 1]

Using a calculator, we can evaluate this expression:

Remaining balance ≈ $30,924.00 * [1.4042 - 1.0552] / [1.4042 - 1] ≈ $30,924.00 * 0.3490 / 0.4042 ≈ $26,695.78

Therefore, Derek must give the bank approximately $26,695.78 to pay off his car loan after 11 months.

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Answer:

12a^3 +2a^2+23a+18

Step-by-step explanation:

Answer:

The area of a rectangle is A = LW A = 230 W = 10

Step-by-step explanation:

The blueberry muffins made by baker on monday is 40% of the total muffins made by the baker .

A quantity or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. In order to determine the percentage of a number, divide it by its sum and then multiply the result by 100. The proportion thus refers to a component per 100. The word percent indicates a percentage of 100. The word "percent" denotes "per 100." The letter "%" stands for it.

Now in the given question,

Total number of muffins baker made = 90

Blueberry Muffins made by baker on monday = 36

Prcentage of blueberry muffins out of total muffins  \(=\frac{36*100}{90} = 40 %\)

So , the Blueberry Muffins were 40% of the total muffins baker made.

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Answer:

yo I need this to

Step-by-step explanation:

please let me know when you get the answer thank you

Answer:

B. The line of best fits shows a negative correlation between the number of months and the number of minutes

Step-by-step explanation:

In a scatter plot, when the data points are clustered along the line of best fit, it shows a trend, and it implies there's a correlation between the x-variable and the y-varisble.

Also, when the line of best fit slopes upward, from your left to your far right, it shows a positive correlation between the variables on the x-axis and y-axis.

On the other hand, if the line of best fit slopes downwards, from your left down to your right, this shows a negative correlation.

Thus, considering the line of best fit in the question, the line of best fit shows a negative correlation between the number of months and the number of minutes. The line of best fit slopes downwards, from your left to your right.

This shows that, as month number increases, number of minutes decreases.

Answer:

1000

Step-by-step explanation:

Answer:

1)

Y decreases because when x is 9, y is really close to zero.

2)

The same/equal, function is a quadratic or a reciprocal

3)the function value y= greater or less than 0.

Y-intercept is 8 or y=8

4)

When x=1,y=5

Answer:

8 miles.

Step-by-step explanation:

Travelling down Alley street is 20 miles

Travelling along Polk and Fernwood = 12 + 16 = 28 miles.

Answer:

\( - 12\)

Step-by-step explanation:

\(x1 = x \: \: y1 = 3 \\ x2 = 4 \: \: y2 = 3 \\ distance \: betwen \: two \: points = \sqrt{(x2 - x1) {}^{2} +( y2 - y1) {}^{2} } \\ 16= \sqrt{(4 - x) {}^{2} + (3 - 3) {}^{2} } \\ 16 = \sqrt{(4 - x) {}^{2} + 0} \\ 16 = \sqrt{(4 - x) {}^{2} } \\ 16 = 4 - x \\ 16 - 4 = - x \\ 12 = - x \\ x = - 12\)

Answer:

Step-by-step explanation:

You have 2 points given. Take them seriously. They represent actual numbers that don't need to be rounded.

The two points are (2,-2) and (-3,-6)

Now construct a line in point intercept form from these two points.

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

m = (-2 - - 6)/(2 - - 3)

m = 4/5

So far what you know is

y = 0.8 x + b

Use either one of the two points to get b (the y intercept)

x = 2

y = - 2

-2 = 0.8*2 + b

-2 = 1.6 + b             Subtract 1.6 from both sides

-3.6 = b

y = 0.8x - 3.6

3

Answer:

2.85

Step-by-step explanation:

You will pay $2.85 for a item with original price of $3.80 when discounted 25%. In this example, if you buy an item at $3.80 with 25% discount, you will pay 3.80 - 0.95 = 2.85 dollars.

Answer:

2.85

Step-by-step explanation:

25%= 100÷25=4

3.80÷4 =0.95

25% of 3.80 = 0.95

discounted price:

3.80-0.95

=2.85

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

Can you write more specifically the question please

Step-by-step explanation:

The econometric specification for a regression of Y and D using the pre-post method is: [ Y_{it} = \beta_0 + \beta_1D_{it} + \epsilon_{it} \]

Pooled Cross Section Data:

To estimate the pre-post method, we will use the data for individuals who have observations in both years, i.e., individuals for whom we have data in both year t (before) and year t+1 (after).

Assumed Counterfactual:

The assumed counterfactual in this model is that the outcome for each individual in year t+1, had they not enrolled in the program, would be the same as their outcome in year t.

Weaknesses of the Assumed Counterfactual:

The assumed counterfactual relies on the assumption that the outcome for each individual would remain constant from year t to year t+1 in the absence of program enrollment.

However, this assumption may not hold true if there are other factors that could affect the outcome. Unobserved time-varying factors or changes in individuals' circumstances over time can introduce biases and violate the assumption of a constant counterfactual.

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The econometric specification for a regression of Y and D using the pre-post method is given by:

Yi = β0 + β1Di + εi

In this econometric specification, Yi represents the outcome of interest for individual i. Di is a binary variable that indicates enrollment (1) or non-enrollment (0) of individual i in the program. β0 is the intercept term, β1 is the coefficient that captures the average treatment effect of the program on the outcome, and εi is the error term.

To estimate the pre-post method, we will use the pooled cross-section data for year t (before program implementation) and year t+1 (after program implementation). This means that we will have observations for both individuals who were enrolled in the program (Di = 1) and those who were not (Di = 0) before and after the program.

The pre-post method assumes that the difference in outcomes between the two time periods for individuals who were not enrolled in the program (Di = 0) represents the counterfactual or what would have happened to the treatment group (Di = 1) had they not been enrolled. This assumption is based on the idea that the only difference between the treatment and control groups is the enrollment in the program.

However, there are several weaknesses in the assumed counterfactual. First, there may be unobserved factors that differ between the treatment and control groups, which can bias the estimated treatment effect. Second, the pre-post method assumes that there are no time-varying confounders that change between the two time periods, which may not hold true in practice. Finally, the assumption of parallel trends between the treatment and control groups before program implementation is crucial for identifying the causal effect, but it can be difficult to verify.

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The volume of the right prism is the product of the length, width and height

The height of the prism is 7.40 ft

The given parameters are:

Volume = 214.5 ft cube

Length = 5 ft

Width = 5.8 ft

The volume of the right prism is calculated as:

Volume = Length * Width * Height

So, we have:

214.5 = 5 * 5.8 * Height

Evaluate the product

214.5 = 29 * Height

Divide both sides by 29

7.40 = Height

Rewrite as:

Height = 7.40

Hence, the height of the prism is 7.40 ft

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Answer:

6.6

Step-by-step explanation:

Step-by-step explanation:

C.

π/9 is less than sqrt(9) / 3 which is 1. Also, this question is quite ambiguous, and the answer could be none, because sqrt(9)/3 can also be -1

b) Picard’s Theorem guarantees the existence and uniqueness of solutions to differential equations under certain conditions.

Picard's Theorem is a fundamental result in the theory of ordinary differential equations.

It provides conditions under which the initial value problem for a first-order ordinary differential equation has a unique solution.

The theorem states that if the function in the differential equation is continuous and satisfies a Lipschitz condition with respect to the second variable, then there exists a unique solution to the initial value problem.

Option b) correctly summarizes the main conclusion of Picard's Theorem, which is the guarantee of existence and uniqueness of solutions to differential equations under specific conditions.

The other options are not accurate descriptions of Picard's Theorem.

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Answer:

11

Step-by-step explanation:

I divided 66 by 6.5 and got 10.153846153846153846153846153846 then I just rounded it to 11.  I actually went based off of radius and height. Hope this helps:)

The height of the cone is 11.

Since She figured that the scoop should hold approximately 66 in3 of liquid. The diameter of her cone is 6.5 in.

So for determining the height we simply divided the 66 by the diameter

So,

\(= 66\div 6.5\)

= 11

Therefore, we can conclude that The height of the cone is 11.

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Answer:

x= y/m-6/m

Step-by-step explanation:

The Beck Depression Inventory (BDI) would be an example of a measurement instrument.

A measurement instrument is a tool or technique used to measure or assess a particular variable or construct, in this case, depression. The BDI is a standardized self-report questionnaire that is widely used to assess the severity of depressive symptoms. It consists of 21 questions or items that ask the respondent to rate the intensity of their depressive symptoms on a 4-point scale. The total score on the BDI can be used to classify the severity of depression and guide treatment decisions.

In contrast, a variable is a characteristic or attribute that can take on different values or levels, such as age, gender, or income. Data refers to the collection of measurements or observations obtained from a particular study or investigation. Internal validity is a concept that refers to the extent to which a study is designed and conducted in a way that minimizes the potential for bias or confounding variables.

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A. The coefficient of x^4y^{12} in the expansion of (-4x+2y)^{16} is -8192.

B. The coefficient of x^4y^8z^7 in the expansion of (-4x+2y-1z)^{19} is -134217728.

For the first question, we can use the binomial theorem to expand the expression. The binomial theorem states that

(a+b)^n = C(n,0)a^nb^0 + C(n,1)a^{n-1}b^1 + C(n,2)a^{n-2}b^2 + ... + C(n,n)a^0b^n

Where C(n,k) = n!/(k!(n-k)!)

Applying this to the given expression, we get:

(-4x+2y)^{16} = C(16,0)(-4x)^{16}(2y)^0 + C(16,1)(-4x)^{15}(2y)^1 + C(16,2)(-4x)^{14}(2y)^2 + ... + C(16,16)(-4x)^0(2y)^16

The coefficient of x^4y^{12} is the coefficient of the term -4x^42y^{12} in this expansion, which is

C(16,4)(-4)^42^{12} = C(16,4)(-256)4096 = C(16,4)(-256)*4096 = -8192

For the second question, the same logic can be applied to:

(-4x+2y-1z)^{19} = C(19,0)(-4x)^{19}(2y)^0(-1z)^0 + C(19,1)(-4x)^{18}(2y)^1(-1z)^0 + C(19,2)(-4x)^{17}(2y)^2(-1z)^1 + ... + C(19,19)(-4x)^0(2y)^0(-1z)^19

The coefficient of x^4y^8z^7 is the coefficient of the term -4x^42y^8(-1z)^7 in this expansion, which is C(19,4)(-4)^42^8*(-1)^7 = C(19,4)256256*-1 = -134217728

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Step-by-step explanation:

1) if total number of the saled tickets is 189, then it is possible to write s+a=189, where s - number of student tickets, a - adult tickets.
2) if the ratio is 4:5, then it is possible to write s:a=4:5;

3) using the two equations it is possible to make up the system:

\(\left \{ {{s+a=189} \atop {\frac{s}{a} =\frac{4}{5} }} \right.\)

4) Part A: after solution the system above the number of student tickets = 84; adult tickets = 105.

5) Part B: the revenue from selling the adult tickets is: 105*7=735, the student tickets is: 84*5=420. Then the required difference is: 735-420=$ 315.