Twelve decreased by half a number is 6. Find the number.

The equation in slope-intercept form for the line that passes from the points (-7,2) and (5,8) is y = (1/2)x -3/2.

We know that, the slope intercept form is given by:-

y = mx + b

Where,

(x,y) is the ordered pair of every point on the line

m is the slope of the line

b is the y-intercept of the line

We know that, slope = (8-2)/(5-(-7)) = 6/12 = 1/2

Putting (-7,2) in (x,y) and m = 1/2 in the slope intercept form, we get,

2 = (1/2)(-7) + b

2 = -7/2 + b

b = -3/2

Hence, the slope intercept form of the line is y = (1/2)x -3/2.

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A permit is a legal document that enables a person or a business to utilize a specific area for a project or other activity.

To obtain permission to use a specific location for a project, you may need to submit a request in writing or fill out a permission form. The exact document that you need to obtain permission will depend on the specific location and the requirements of the owner or manager of the location.

You may also need to provide information about your project, including the purpose, duration, and any potential impact on the location. Depending on the location and the nature of your project, you may also need to obtain other approvals or permits, such as building permits or environmental permits.

It is a good idea to research the requirements for using the specific location that you are interested in and to contact the appropriate authorities or individuals to find out what documents you need to obtain permission.

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A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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The correct research method for the study mentioned in the question is a Field survey.

Field survey can be defined as a research method used to collect data from a target population. In this study, researchers used a survey questionnaire to gather data from participants. The research aimed to test the theory that the exposure to multiple versions of fake news on various social media platforms made people believe the news.

The researchers surveyed 1,455 participants with an average age of 27, and 42% were male. The participants were exposed to 24 false news stories, and one group was exposed to multiple versions of fake news, while the other group was only exposed to each news story once.

The findings suggested that the more familiar the news was, the more accurate and believable it was. This familiarity effect lasted for up to a month. Hence, the research method used in this study was a field survey.

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Answer:

6/11, 4/7, 5/8, 2/3

Step-by-step explanation:

The remaining side is 16.9 and remaining angles are 83.1 and 34.9.

The cosine formula to find the side of the triangle is given by:

c = √[a² + b² – 2ab cos C] Where a,b and c are the sides of the triangle.

Given:

m∠B = 62°, a = 11, and c = 19

Now, b² = a² + c² - 2ac cos B.

b = √ a² + c² - 2ac cos B

b = √ 11² + 19² - 2x 11  x 19 cos 62

b= 16.9

Now. a/ sin A = b/ sin B= c/ sin C

So, <C = arc sin ( c sin B /b)

<C = arc sin ( 19 sin 62 /16.9)

<C = 83.1

and, <A = arc sin ( a sin B /b)

<A = arc sin ( 11 sin 62 /16.9)

<A = 34.9

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Answer:

a) 10,500 big cats

b) 13,401 big cats

c) 33 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population  

r = growing rate (decimal form; 5/100= 0.05)

t= years  

A = population after t years  

Replacing with the values given:  

a) At 2005, 1 year passed since 2004 (t=1)

A = 10,000 (1+ 0.05)^1

A = 10,500 big cats

b)

At 2010, 6 years passed since 2004 (2010-2004= 6)

A = 10,000 (1+ 0.05)^6

A = 13,401 big cats

c)

50,000 < 10,000 (1+ 0.05)^t

Solving for t:

50,000/10,000 < 1.05^t

5 < 1.05^t

log 5 < log 1.05^t

log 5 < t ( log 1.05)

log 5 / log 1.05 < t

32.9 years < t

33 years  = t

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Slope

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m = slope

b = y-intercept

We are given y = 2x + 3:

We define our variables:

m = 2

b = 3

Therefore, our slope is 2 and our y-intercept is 3.

Answer:

Slope

Step-by-step explanation:

its A

Step-by-step explanation:

Answer:

_____________

Step-by-step explanation:

Area = square area + rectangle area

        = 3 x 3       +    1 x 5    =   9 + 5  = 14 cm^2

The cost of a pack of cigarettes was $0.86 in 1980 and in 2000, the average cost was $4.95 per pack.To find: The average rate of change of the cost of a pack of cigarettes and create a linear equation using the year 1980 as your starting year.

Average Rate of Change:Average rate of change of the cost of a pack of cigarettes is given by the formula:

Average rate of change = (Change in cost) / (Change in time)Change in cost

= ($4.95 - $0.86)

= $4.09

Change in time = (2000 - 1980)

= 20 years

Putting these values in the formula, we get

,Average rate of change = $4.09 / 20

Average rate of change = $0.2045 per year Linear equation:

We need to find a linear equation using the year 1980 as the starting year. To find this, we will use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by,y - y1 = m(x - x1)

Where, y1 is the y-coordinate of the given point,x1 is the x-coordinate of the given point,m is the slope of the line Putting the values in the above formula, we get the linear equation for this problem:

y - 0.86 = 0.2045(x - 1980)

The value put in for the starting point is 1980

:The cost of a pack of cigarettes was $0.86 in 1980 and in 2000, the average cost was $4.95 per pack.Average rate of change of the cost of a pack of cigarettes is given by the formula:

rWe need to find a linear equation using the year 1980 as the starting year. To find this, we will use the point-slope form of a linear equation.The point-slope form of a linear equation is given by,

y - y1 = m(x - x1)Where, y1 is the y-coordinate of the given point,x1 is the x-coordinate of the given point,m is the slope of the line Putting the values in the above formula, we get the linear equation for this problem:y - 0.86 = 0.2045(x - 1980) The value put in for the starting point is 1980.

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The average rate of change of the cost of a pack of cigarettes can be found by subtracting the initial cost from the final cost and dividing it by the number of years that have passed. The average rate of change of the cost of a pack of cigarettes is approximately $0.2045 per year.

To calculate the average rate of change, we can use the formula:

Average rate of change = (final cost - initial cost) / number of years

In this case, the initial cost in 1980 was $0.86, and the final cost in 2000 was $4.95. The number of years that have passed is 2000 - 1980 = 20.

Plugging these values into the formula, we have:

Average rate of change = ($4.95 - $0.86) / 20

Calculating the numerator, we get:

Average rate of change = $4.09 / 20

Dividing, we find that the average rate of change is approximately $0.2045 per year.

To create a linear equation using the year 1980 as the starting point, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Where y represents the cost of a pack of cigarettes, x represents the number of years since 1980, m represents the average rate of change, and (x1, y1) represents the starting point.

Using the values we have, we can substitute x1 = 0 (since 1980 is the starting point) and y1 = 0.86 (the initial cost) into the equation:

y - 0.86 = 0.2045(x - 0)

Simplifying, we get:

y - 0.86 = 0.2045x

Rearranging, we have:

y = 0.2045x + 0.86

Therefore, the linear equation representing the average rate of change of the cost of a pack of cigarettes starting from 1980 is:

y = 0.2045x + 0.86

In this equation, x represents the number of years since 1980, and y represents the cost of a pack of cigarettes in dollars.

In conclusion, the average rate of change of the cost of a pack of cigarettes is approximately $0.2045 per year. The linear equation representing this average rate of change, starting from 1980, is y = 0.2045x + 0.86. In this equation, x represents the number of years since 1980, and y represents the cost of a pack of cigarettes in dollars.

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Answer:

16

Step-by-step explanation:

The most important factor is the total budget $1816.50, for the soccer tournament.

1. Subtract $880.50 from $1816.50 = $936

2. We have $936 left, and a budget of $58.50 per player for meals

3. Divide 936/58.50 = 16

4. 16 soccer players can be brought to the tournament

Answer:

A human rights violation is the disallowance of the freedom of thought and movement to which all humans legally have a right.

Step-by-step explanation:

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer:

x=29

Step-by-step explanation:

(11×29)=319-65=254 Hopefully this helps

Answer:

2/11

Step-by-step explanation:

This will not always work!!! But i divided 8 by 4 and got 2. I used my calculator and got the same exact answer

Hope this helps.

The test statistic-z or z-score will be 1.635.

What is test statistic-z?

A z-score, also known as a z-statistic, is a number that represents how many standard deviations above or below the mean population a z-test score is. It is essentially a numerical measurement that describes the relationship of a value to the mean of a collection of values. A z-score of 0 implies that the data point's score is the same as the mean score. A z-score of 1.0 indicates that the result is one standard deviation from the mean. Z-scores can be positive or negative, with a positive number indicating that the score is higher than the mean and a negative value indicating that it is lower than the mean.

Let p indicate the proportion of customers who are satisfied.

P=0.64

n=number of customers surveyed =125

x=number of satisfied consumers in the survey=89

p=89/125=0.71

The test statistic-z is calculated using the following formula,

z=(p-P)/√(P(1-P)/n)

=(0.71-0.64)/√0.64(1-0.64)/125

=0.07/√0.00184

=0.07/0.0428

=1.635

The test statistic-z is 1.635

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On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.

To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.

First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).

Next, we set f'(x) equal to zero and solve for x:

-24cos(x)sin(x) = 0

This equation is satisfied when cos(x) = 0 or sin(x) = 0.

For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.

For sin(x) = 0, we have x = 0 and x = π as critical points.

Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:

f(0) = 12cos^2(0) - 1 = 11

f(π/2) = 12cos^2(π/2) - 1 = -1

f(π) = 12cos^2(π) - 1 = 11

f(3π/2) = 12cos^2(3π/2) - 1 = -1

f(2π) = 12cos^2(2π) - 1 = 11

From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.

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Power series solutions have a minimum radius of convergence of R of 10.0498 around the normal point x = 0 and 10 units around the normal point x=1.

A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions.

Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

The given equation: \(\left(x^2-2 x+26\right) y^{\prime \prime}+x y^{\prime}-4 y=0\)

It is necessary to determine the power series solutions' minimal radius of convergence R around the typical points x = 0 and x = 1.

The separation between the ordinary point and the differential equation's singularity is now the minimal radius of convergence.

The polynomial's root, which is connected to the second derivative, is the singularity point.

The singularity points will be determined as follows:

\(\begin{aligned}& x^2-2 x+26=0 \\& x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a} \\& x=\frac{2 \pm \sqrt{(-2)^2-4 \times 1 \times 26}}{2} \\& x=1 \pm \sqrt{-100} \\& x=1 \pm 10 i\end{aligned}\)

In this case, x1 = 1+10i and x2 = 1-10i are the singularity sites.

The ordinary points at this time are z1 = 0+01 and z2 = 1+0i.

One can compute the minimum radius of convergence using the formula:

\(\begin{aligned}& r_1=\left|z_1-x_1\right| \\& =|0+0 i-1-10 i| \\& =\sqrt{101} \\& =10.0498 \\& r_2=\left|z_2-x_1\right| \\& =\sqrt{100} \\& =10\end{aligned}\)

Therefore, power series solutions have a minimum radius of convergence of R of 10.0498 around the normal point x = 0 and 10 units around the normal point x = 1.

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When the coordinates are (-4,-6) and (4,4), the distance between point I and point K will be roughly 12.8 units.

A pair of integers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y). a group of variables that accurately depict a stance. The first number on a graph represents the distance along, while the second number represents the distance up or down. You do the reverse to determine a point's coordinates in a coordinate system. Start at the point, then move up or down a vertical line until you reach the x-axis. Your x-coordinate is shown there. To find the y-coordinate, repeat the previous step while adhering to a horizontal line.

Here,

coordinates=(-4,-6) and (4,4)

distance formula=√(x2-x1)²+(y2-y1)²

=√(4+4)²+(4+6)²

=√8²+10²

=√164

=12.8 units

The distance between point I and point K will be 12.8 unit approximately when coordinates are (-4,-6) and (4,4).

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Answer:

The function is:

y = 150*x

where y is the number of calories consumed, and x is the number of pieces of candy consumed.

Now, the domain of a function is the possible values of x that you can input in the function.

For this particular case you can have:

x = 0 (no pieces candy)

x = 1 (one piece of candy)

x = 2 (two pieces of candy)

Notice that x can be only whole numbers because, in principle, you can't eat a fraction of a piece of candy.

So we only use x = whole numbers.

Then the domain of the function is equal to all the natural numbers plus the zero, or:

D = {x ∈ N ∪ {0}}

"x belongs to the union between the set of the natural numbers and the zero"

The amount of candies can only be positive values, hence the domain of the value exists on all natural numbers that are x≥0

The domain of a function is the input values of the function for which it exists.

Given the expression that relates the number of calories you consume after eating x pieces of candy as shown:

y = 150x

The amount of candies can only be positive values, hence the domain of the value exists on all natural numbers that are x≥0

The function is also discrete because the number of candies can be counted. Note that the domain of all discrete functions is countable.

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Answer:

The function that models the total amount of money Julio has after weeks is:

f(x)=150+10x, where:

x is the number of weeks

Step-by-step explanation:

With the information provided,  you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:

f(x)=150+10x, where:

x is the number of weeks

Answer: f(x)=150+10x,

Step-by-step explanation:

False. A dummy variable is a binary variable used to represent the presence or absence of a specific category or characteristic.

It takes on the value of 1 or 0, indicating the presence or absence of the category. The age of a person in years is a continuous variable that represents a quantitative measurement rather than a categorical variable. It can take on a range of numerical values and does not fit the definition of a dummy variable.

Dummy variables are commonly used to represent categorical variables such as gender (male/female), yes/no responses, or membership in a specific group. Age, on the other hand, is a continuous variable that represents the amount of time a person has lived, making it unsuitable for use as a dummy variable.

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stem-and-leaf plots for the sets of data are attached.

What is stem-and-leaf plot?

In a stem and leaf plot, the values of the data are divided into a stem and a leaf, creating a singular table. The initial digit or digits are written in stem format, and the final digit is written in leaf format.

Data can be arranged in a way that makes it simple to see the frequency of various sorts of values using a stem and leaf plot, also known as a stem and leaf diagram. It is a graph with numerical data displayed in a sequential manner. Each value of the data is divided into a stem and a leaf.

A stem and leaf plot is depicted as a customised table with each data value's initial or last digit divided into a stem and the leaf's final digit.

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Answer:

5vertices

Step-by-step explanation:

the answers is 5,5

Answer:

(1,-6)

(-2,-5)

(8,2)

(4,0)

Answer:

14.3 and -1.2

Step-by-step explanation:

To find the distance between both points subtract the larger point from the smallest and that should give you the answer.

In this communication system where X and Z are independent and Y=X+Z, and X=+1, the probability of X=-1 is (t+0.5)/3 for 1<=t<=2.5.

Since X and Z are independent, the probability distribution of Y can be found as follows:

P(Y≤t) = P(X+Z≤t) = P(Z≤t-X)

P(Y>t) = P(X+Z>t) = P(Z>t-X)

Since Z is uniformly distributed in the range of [-1.5, +1.5], its probability density function (PDF) is constant over this range, i.e., fZ(z)=1/3 for -1.5<=z<=1.5, and zero elsewhere.

Now, we can calculate the probability of X=-1 given that X=+1 as follows:

P(X=-1|X=+1) = P(Y<t|X=+1)

= P(X+Z<t|X=+1)

= P(Z<t-1)

= integral from -1.5 to t-1 of fZ(z) dz

= integral from -1.5 to t-1 of 1/3 dz

= (t-1+1.5)/3, for -0.5<=t<=1

= (t+0.5)/3, for 1<=t<=2.5

Therefore, the probability that X=-1 given that X=+1 is (t+0.5)/3 when 1<=t<=2.5.

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