Andi bought 1 hot dog and 2 sodas. The hotdog cost 1.99 and the total cost was $6.49. How much did each soda cost?

Answer:

Step-by-step explanation:

LHS

tan θ * cot θ

= sin θ / cos θ * cos θ / sinθ

= 1

RHS

sec θ * cos θ

= 1/cos θ * cos θ

= 1

Therefore LHS = RHS proved.

Answer: (x34, y912)

Step-by-step explanation: Because (x34, y912) equals (x34, y912) :)

Answer:

x = 2, y = 6

Step-by-step explanation:

I'm assuming you're finding the pattern and then finding x and y, in which case it would be:

In the first one (x, 3, 4, 5, 6) you can see it goes up by 1 each time so x is just 2.

In the second one (y, 9, 12, 15, 18) it goes up by 3 each time so y = 9-3 = 6.

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

The point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

To find all the points in the form (1, y, z) that are equivalent to the points (2, -1, 0) and (0, -2, 1), we can use the concept of vector equivalence.

Let's consider the vector from (1, y, z) to (2, -1, 0). This vector is (2-1, -1-y, 0-z) = (1, -1-y, -z).

Similarly, the vector from (1, y, z) to (0, -2, 1) is (0-1, -2-y, 1-z) = (-1, -2-y, 1-z).

Since these two vectors are equivalent, we can set them equal to each other:

(1, -1-y, -z) = (-1, -2-y, 1-z)

Simplifying this equation, we get:

y - z = 0

2y + 3z = 3

Therefore, all points in the form (1, y, z) that are equivalent to the given points are given by the equations:

y = z

2y + 3z = 3

Solving this system of equations, we get:

y = 3/5

z = 3/5

So the point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

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Compared with randomly paired people, friends are more likely to share the same attitudes and beliefs. this best illustrates the association between similarity and attraction.

What is social Psychology ?

Social psychology is the scientific study of how individuals's thoughts, feelings, and behaviors are affected by the actual or hypothetical presence of other people.

               Social psychology is the study of how individual or group behavior is influenced by the presence and behavior of others.

What is social psychology's primary area of study?

Social psychologists research the ways in which social impact, social perception, and social interaction affect both individual and group behavior.

                   Some social psychologists concentrate their efforts on studying how people behave.

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Answer:

Simplified: 6/6

3/1 x 2/6

Step-by-step explanation:

Answer:

6/6 because if you put 1 under 3, 3x2=6 and 6x1=6

Step-by-step explanation:

Answer:

In algebra, we begin to see variables or letters that are used to represent numbers. An example of a mathematical expression with a variable is 2x + 3. In the expression 2x + 3, the coefficient of x is number 2, and it means 2 times x plus 3.

Answer:

1/7 ( a+1 )

Step-by-step explanation:

1/7a + 1/7

1/7 ( a+1 )

Answer:

its b

Step-by-step explanation:

becasue i had the same typ eof questions 2 days ago glad to help pls mark it 5 starts its 100% corect i am an A+ student

The total profit that is earned is 4512.5

100 - q = 0

q = 100

Maximization is where q = 0

MR = mc

100 - q = 5

such that q = 95

Price would be  100 -0.5(95)

= 100 - 47.5

= 52.5

Profit earned would be

= 95*52.5 -5*95

= 4512.5

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Answer:

\(\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)\)

Step-by-step explanation:

\(27m^3+125n^3=\left(3m\right)^3+\left(5n\right)^3\)

Apply sum of cubes formula: \(x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)\)

\(\left(3m\right)^3+\left(5n\right)^3=\left(3m+5n\right)\left(3^2m^2-3m\times 5n+5^2n^2\right)\)

\(\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)\)

The factored form of 27 m³ + 125 n³ will be ( 3m + 5n ) [ 9m² - 15mn + 25n²]

An expression is given which is 27 m³ + 125 n³.

We have to find out the factored form of the above expression.

What is the formula for a³ + b ³ ?

The formula for a³ + b³ is a³ + b³ = ( a + b ) ( a² - ab + b² ).

As per the question ;

Expression given is ; 27 m³ + 125 n³

here , a = 3m and b = 5n

The factored form of the above expression will be ;

∵ a³ + b³ = ( a + b ) ( a² - ab + b² )

⇒ (3m)³ + (5n)³ = ( 3m + 5n ) [ (3m)² - ( 3m × 5n ) + (5n)²]

                        =  ( 3m + 5n ) [ 9m² - 15mn + 25n²]

Thus , the factored form of 27 m³ + 125 n³ will be ( 3m + 5n ) [ 9m² - 15mn + 25n²]

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Answer:

f(x) = 9x - 1,200

Step-by-step explanation:

Let x represent the number of movie tickets sold.

9x will represent the profit made from selling movie tickets that day, since each ticket is 9 dollars.

To determine the profit, subtract 1,200 from 9x.

9x - 1,200 will represent the profit. Turn this into a function:

f(x) = 9x - 1,200 where x is the number of movie tickets sold and f(x) is the profit

Answer:

Step-by-step explanation:

so

(180 - 66) : 2 =

114 : 2 =

57

----------------------------

57 + 57 + 66 = 180

The standard deviation of the concentration of the unknown sample can be calculated using the formula: Standard deviation of concentration = (Standard deviation of absorbance) / (Average absorbance)

In this case, the standard deviation of the absorbance is given as 0.11 units and the average absorbance is given as 1.23 units.
Using the formula, we can calculate the standard deviation of the concentration:
Standard deviation of concentration = 0.11 / 1.23

= 0.0894
So, the standard deviation of the concentration of the unknown sample is approximately 0.0894.
The standard deviation of the concentration of the unknown sample is 0.0894.
The standard deviation of the concentration of the unknown sample measures how spread out the concentrations are from the average concentration.

It is an important statistical measure that helps in assessing the reliability and precision of the measurements.

In this case, we are given the average absorbance of the unknown sample as 1.23 units and the standard deviation of the absorbance as 0.11 units.

To find the standard deviation of the concentration, we use the formula:

Standard deviation of concentration = (Standard deviation of absorbance) / (Average absorbance).

Plugging in the values, we get:

Standard deviation of concentration = 0.11 / 1.23

= 0.0894.

Therefore, the standard deviation of the concentration of the unknown sample is approximately 0.0894.

This means that the concentrations of the unknown sample measured three times may vary by around 0.0894 units from the average concentration.

It is important to consider this variability when interpreting the results and making conclusions based on the measurements.

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According to unitary method, the best estimate for the alligator population is around 302 alligators.

In this particular case, a television channel put tags on 58 alligators and released them. Later, they caught 260 alligators, and among those, 50 were tagged.

To answer this question, we can use the mark and recapture formula, which is:

N = (M x n) / R

Where:

N = population size

M = number of individuals in the first sample (marked individuals)

n = total population size

R = number of marked individuals recaptured in the second sample

In this case, we have:

M = 58

n = unknown

R = 50

Substituting these values into the formula, we get:

n = (M x R) / r

n = (58 * 260) / 50

n ≈ 302.4

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Answer:

square and rectangle

Step-by-step explanation:

By squaring the deviations from the mean, we make them positive numbers, and the sum of the squared deviations will also be a positive number.

In mathematics and statistics, deviation refers to the difference between a value and a reference value or an expected value. More specifically, deviation is a measure of how far a set of numbers is spread out from their average value or the central point.

By squaring the deviations from the mean, we make them positive numbers, and the sum of the squared deviations will also be a positive number. This is because squaring any number makes it positive, regardless of whether the original number was positive or negative.

Additionally, squaring the deviations before summing them up allows us to give more weight to larger deviations from the mean. This is because squaring a larger deviation will result in a much larger value than squaring a smaller deviation, which helps to highlight the effect of outliers or extreme values in the data set.

The sum of the squared deviations is used in many statistical calculations, including calculating the variance and standard deviation of a data set, which are measures of the spread of the data.

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The instantaneous acceleration at time t = 11.25 s is a = 8 m/s².  

What is acceleration?

A definition of acceleration is the speed at which velocity varies with respect to time. Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is the first derivative of velocity with respect to time or the second derivative of position with respect to time.

The graph for the acceleration points are given.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

From graph instantaneous acceleration at time 11.25s is 8 m/s².  

Therefore, the value is obtained as a = 8 m/s².  

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A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation. The degree indicates the highest exponential power in the polynomial (ignoring the coefficients).

The degree of the polynomial \(6x^4 + 2x^3+ 3\) is 4.

Now, According to the question:

Let's know:

What is the Degree of a Polynomial?

A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation. The degree indicates the highest exponential power in the polynomial (ignoring the coefficients).

For example: \(6x^4 + 2x^3+ 3\) is a polynomial.  Here \(6x^4, 2x^3, 3\) are the terms where \(6x^4\) is a leading term and 3 is a constant term. The coefficients of the polynomial are 6 and 2.

The degree of the polynomial \(6x^4 + 2x^3+ 3\) is 4.

The degree of a polynomial is the highest power of the variable in a polynomial expression. To recall, a polynomial is defined as an expression of more than two algebraic terms, especially the sum (or difference) of several terms that contain different powers of the same or different variable(s). It is a linear combination of monomials.

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Answer:

Unit price 12.16 for 4.07 pounds is $2.99 per pound

Unit price 14.99 for 5.11 pounds is $2.93 per pound

The best deal is the 14.99 per 4.11 pounds

Step-by-step explanation:

Unit price 12.16/4.07 = 2.99 rounded to the nearest cent

Unit price 14.99/5.11 = 2.93 rounded to the nearest cent.

Answer:

1) $2.99

2)$2.93

The better buy is the 4.07 pound bag

Step-by-step explanation:

To find the unit price you find the cost per pound

$12.16 : 4.07

? : 1

4.07x = 12.16

x = 2.98771499

$2.99

$14.99 : 5.11

? : 1

5.11x = 14.99

x= 2.9334638

Answer:

4 days

Step-by-step explanation:

Ok, let's find the side HT to help us decide:

Clearing HT:

And, now let's find SW:

And finally let's calculate the angles:

We know that angles T and Q are equal to 90°

M=arccos(30/32)=arccos(0.9375)=20.36

Q=arc cos(44/48)=arccos=23.55

So, finally we have that ΔMTH ~ ΔQWS is similar by SAS.

Answer:

341

Step-by-step explanation:

First, divide 51 by 3 to get 17.

So the problem should be 315-17+43.

Then, do 315-17 and get 298.

Lastly, add 43 to get the answer of 341.

Answer:(

2,−6).(9,9)

(,8).(7,−52)

(12,−5)−(5,6)

Step-by-step explanation:

So lets talk about a site that will help you. Go to m4thway

To use the upper and lower sums to approximate the area of a region, we need to first divide the region into subintervals of equal width. Let's say we have n subintervals.

The lower sum is the sum of the areas of rectangles whose heights are the minimum value of y in each subinterval. The upper sum is the sum of the areas of rectangles whose heights are the maximum value of y in each subinterval.

To approximate the area using the lower sum, we would calculate:

lower sum = (width of subinterval) x (minimum y value in subinterval) for each subinterval
area = sum of lower sums for all subintervals

To approximate the area using the upper sum, we would calculate:

upper sum = (width of subinterval) x (maximum y value in subinterval) for each subinterval
area = sum of upper sums for all subintervals

It's important to note that as the number of subintervals increases, the accuracy of our approximation improves. However, it also increases the amount of calculation needed. Therefore, we must find a balance between accuracy and efficiency in our calculations.

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A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called the dummy variable.

We know that,

A dummy variable is a binary variable that takes a value of 0 or 1.

In regression analysis, a dummy variable is one that takes only the value 0 or 1 to indicate the absence or presence of some categorical effect that may be expected to shift the outcome.

The number of dummy variables we must create is equal to k - 1, where k is the number of different values that the categorical variable can take on.

It is an artificial variable created to represent an attribute with two or more distinct categories/levels.

These are being used in order to sort out data into mutually exclusive groups.

It is used typically in time series analysis, response modelling, bio-medical studies, economic forecasting and credit scoring.

Therefore, a variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called the dummy variable.

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Answer:

89883890348907569043671290

Step-by-step explanation:

4tr4

Answer:

7.5

Step-by-step explanation:

Step-by-step explanation:

my instagram account bdq.frk follow please

The solutions to the equation 2sin(θ) = 1 on the interval [0, 2π) are:

θ = π/6, 13π/6

To find all solutions to the equation 2sin(θ) = 1 on the interval [0, 2π), we can solve for θ by isolating the sin(θ) term and then using inverse trigonometric functions.

Given: 2sin(θ) = 1

Dividing both sides by 2:

sin(θ) = 1/2

Now, we can use the inverse sine function to find the solutions:

θ = sin^(-1)(1/2)

The inverse sine of 1/2 is π/6. However, we need to consider all solutions on the interval [0, 2π).

Since the sine function has a period of 2π, we can find the other solutions by adding integer multiples of 2π to the principal solution.

The principal solution is θ = π/6. Adding 2π to it, we get:

θ = π/6 + 2π = π/6, 13π/6

So, the solutions to the equation 2sin(θ) = 1 on the interval [0, 2π) are:

θ = π/6, 13π/6

These are the two solutions that satisfy the given equation on the specified interval.

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Does the graph represent a function: B. No.

In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.

Based on the ordered pairs (-5, 7) and (-2, 7), we can reasonably infer and logically deduce that the relation represented by this graph does not represent a function because the are not uniquely mapped.

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Answer:

3.15 ..........

Step-by-step explanation:

Answer: r≈0.98

Step-by-step explanation: r=(3V

4π)⅓=(3·4

4·π)⅓≈0.98475

V=4

3πr3