1/4 (x + 2x + 16 - 8)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

= -3 2/5 - 5/6

= - 17/5 - 5/6  ---- LCM of 5 & 6 is 30

= _  17 * 6   _   5 * 5  

       5 * 6        6 * 5

=  _  102 - 25

            30

=  _ 127

        30

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10

Answer:

recursive

Step-by-step explanation:

recursive lets us find the next term using a formula of the term preceding it or coming before it.

The type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion

Recursive function  is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms . Example : Arithmetic progression , geometric progression etc

so, the type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion

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The primary condition for which a patient is receiving care is communicated to the third-party payer through a diagnosis code on the healthcare claim.

The diagnosis code is a standardized code that represents the patient's medical condition or illness as determined by the healthcare provider. These codes are typically based on the International Classification of Diseases (ICD) coding system, which is used worldwide for reporting diagnoses and medical procedures.

By including the appropriate diagnosis code on the healthcare claim, healthcare providers can communicate to third-party payers the reason for the services or procedures provided. This information is essential for processing and reimbursing healthcare claims accurately and efficiently.

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The primary condition for which a patient is receiving care is communicated to the third-party payer through a(n) ICD (International Classification of Diseases) code on the healthcare claim.

The ICD code serves as a standardized system for classifying diseases and health conditions, enabling clear

communication between healthcare providers and third-party payers.

The primary condition for which a patient is receiving care is communicated to the third-party payer through a

diagnosis code on the healthcare claim. Diagnosis  codes, also known as ICD codes (International Classification of

Diseases codes), are standardized codes that represent the specific medical condition or disease being treated by the

healthcare provider.

These codes are used to ensure accurate and timely payment for services rendered and to track healthcare utilization

and outcomes.

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Answer:

21

Step-by-step explanation:

thats the opposite of negative 21

Answer:

positive 21

Step-by-step explanation:

6.07% probability that exactly 5 claims will be filed during the next week.

Given,

Every week average 9 claims are filed in its Atlanta branch .

Now,

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) =\(e^{-u} * u^{x} /x!\\\)

In which

x is the number of successes .

e = 2.71828 is the Euler number

u = is the mean in the given interval.

An average of 9 claims are filed in its Atlanta branch.

So,

u = 9

Now,

Probability that exactly 5 claims will be filed during the next week,

P(X = 5) = \(e^{-u} * u^{x} /x!\\\)

P(X = 5) = \(e^{-9} * 9^{5} /5!\\\)

P(X = 5) = 0.0607

Thus 6.07% is the probability .

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Answer:

-3√64, 6√64, -3√-64, √64

approximately 87.8% of the fruits are in good condition.

Number of oranges in good condition = 600 - 0.15(600) = 510

Number of bananas in good condition = 400 - 0.08(400) = 368

Total number of fruits in good condition = 510 + 368 = 878

Total number of fruits bought = 600 + 400 = 1000

Percentage of fruits in good condition = (878/1000) x 100% ≈ 87.8%

what is Number?

Number can refer to a variety of concepts, depending on the context. In general, it is a mathematical concept that represents a quantity or a value. Numbers can be used to count things, measure distances, represent amounts of money, and perform calculations. The main types of numbers are natural numbers, whole numbers, integers, rational numbers, and real numbers. Numbers are essential to many areas of study, including mathematics, science, engineering, economics, and finance.

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Answer:

or

Step-by-step explanation:

Answer:

8 sides.

Step-by-step explanation:

Divide the exterior angle with 360.

360 ÷ 45 = 8

The regular polygon has 8 sides.

Answer:

Step-by-step explanation:

Sum of measures of all angles of a regular polygon = 360 degree

one exterior angle = 45 degree

∴ no of sides = 360/45 = 8 sides

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Answer:

a. x≥0, cannot be negitive, price of cookie

b. 398.75 for .40c cookies, 355 for .75c cookies

c. .45

d. 400

Step-by-step explanation:

your welcome

Using the vertex of the quadratic equation, it is found that the the profit is maximized with a unit price of $0.45.

The equation of a parabola of vertex (h,k) is given by:

\(f(x) = a(x - h)^2 + k^2\)

If a < 0, the maximum value is of k at x = h.

In this problem, the quadratic equation is:

\(f(x) = -500(x - 0.45)^2 + 20^2\)

The unit price is x, thus, since h = 0.45, the the profit is maximized with a unit price of $0.45.

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We may conclude after answering the presented question that expression Therefore, $405 is equivalent to £250.00.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

a) To convert £650 to $, we need to multiply £650 by the exchange rate:

£650 x $1.62/£1 = $1053.00

Therefore, £650 is equivalent to $1053.00.

b) To convert $405 to £, we need to divide $405 by the exchange rate:

$405 ÷ $1.62/£1 = £250.00

Therefore, $405 is equivalent to £250.00.

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Answer:

exact form: x = √ 17 + 9 , − √ 17 + 9

decimal form: 13.12310562

Step-by-step explanation:

Add  43  to both sides of the equation. Add  −  9  and  43 .Divide each term by 2. Then simplify it. Take the square root of each side to set up the solution for x. The solution is the result of both the positive and negative portions of the solution.

Hope this helps!

In a list of measurements in increasing order: 4, 5, 6, 8, 10, and x, the value of x is 16.

To get the value of x, we will use algebraic expressions to demonstrate the given relationships.

If the median of these measurements is ​six sevenths​ times their arithmetic mean, then:

median = 6/7 x mean

Median (Md), is a single value at the middle of the data values arranged in increasing or decreasing order. On the other hand, arithmetic mean (μ) is the sum of the data values divided by its total number.

For the list of measurements in increasing order is 4, 5, 6, 8, 10, and x,

The median is between 6 and 8.

Md = 6+8/2

Md = 7

Evaluating the first equation using Md = 7:

median = 6/7 x mean

7 = 6/7 x mean

mean = 49/6

By definition,

mean = (4 + 5 + 6 + 8 + 10 + x)/6

Equating both equations for the mean:

49/6 = (4 + 5 + 6 + 8 + 10 + x)/6

49 = 33 + x

x = 16

Hence, the value of x is 16.

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Answer:

salamat sa point hahaha hahahaha hahahaha

wag ka na magaral

We know that the sum of all interior angles of a triangle is always \(180^\circ\). It is known as Angle Sum Property.

Here in triangle the angles are A, 90°, 30°.

So by Angle sum property in the given triangle,

\(m\angle A\) + 90° + 30° = 180°

\(m\angle A\) + 120° = 180°

\(m\angle A\) = 180° - 120° = 60°

So the value of \(m\angle A\) is 60°.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Multi-step equations are those that must be solved over the course of two or more steps.

An equation that needs to be solved in two or more steps is known as a multi-step equation. There may be a combination of addition, subtraction, multiplication, and division in these questions. For proper equation solving, we could additionally need to combine like terms or apply the distributive property.

Similar to multi-step equations, multi-step inequalities might require combining like terms, the distributive property, and variables on both sides. Again, the only distinction when resolving inequalities is that when multiplying or dividing by a negative number, the sign must be reversed.

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To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

Let us find the slope of the line : x+ 4y = 6

we can write it as 4y = -x +6

y = -(1/4) x + ( 6/4)

slope of the line y= mx + b is m

so here slope = m = -1/4

because we have to find a paraller line so the slope for required line would be same : -1/4

equation of the line having slope m and passing through x1 y1 is :

Y= m( X-x1) + y1

let's plug m= -1/4 x1= -8 and y1 = 5

Y= (-1/4) ( X- -8) + 5

Y= ( -1/4) ( x+8) + 5

Y= (-1/4)( X ) + (-1/4)( 8) + 5

Y= (-1/4) x + 3

Let us now work on second part :

given line is : 2x- 3y = 12

let's write it -3y = -2x +12

y= (-2/-3) x + ( 12/ -3)

Y= ( 2/3) x - 4

slope of this line is 2/3

the required line is perpendicular to it

so the slope of required line = negative resiprocal of this slope =

(-1/ slope of this line ) = -1/( 2/3) = -3/2

Equation of line with slope m= -3/2 and passing through x1= 2 and y1 = 6 is :

Y= m( X-x1) + y1

Y= ( -3/2) ( X- 2) + 6

Y= (-3/2) X - 2(-3/2) + 6

Y= ( -3/2 ) X + 9

Answer : for part 1 : Y= ( 2/3) x - 4

Answer for part 2 : Y= ( -3/2 ) X + 9

Step-by-step explanation:

Answer:

√113

10.6301458127

10.63 (2 d.p)

Step-by-step explanation:

The distance formula is:

√[(x₂ - x₁)² + (y₂ - y₁)²]

x₂ = (-1)

x₁ = 6

y₂ = 8

y₁ = 16

Substitute those values into the equation:

√[(-1 - 6)² + (8 - 16)²]

Perform the arithmetic (the subtractions inside the brackets:

√[(-7)² + (-8)²]

Square the values:

√[49 + 64]

Add them

√[113]

Calculate the square root of the value:

√[113] = 10.6301458127

Whether you want the answer in one of these forms, it's up to you/your teacher:

√113

10.6301458127

10.63 (2 d.p)

We have a group of books that is conformed by 11 books about mysteries and 6 non-fiction books.

If she chooses 4 books, we have to calculate the probaiblity that all of them are mystery books.

We can calculate this probability as the quotient between the combinations that include 4 mystery books and all the possible combinations.

We can start calculating all the possible combinations of 4 books from a group of 17 books. It can be calculated as:

Then, we can calculate the combinations that only include mystery books by excluding the non-fiction books from the options. Now, we have only 11 options fo fill the selection of 4 books, so the possible combinations are:

Then, we can calculate the probability as the quotient between the combinations we have just calculated:

Answer: the probability that the 4 books are mystery books is P = 33/238 or approximately 0.1387.

Answer:

(7,-5)

Step-by-step explanation:

If a point is rotated 180 degrees (the direction doesn't matter) you change the sign. So if the preimage is positive then the image will be negative and vice-versa.

Answer:

(7,-5)

Step-by-step explanation:

Answer:

Can i see the full answer so I can help you?

Step-by-step explanation:

Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.

Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.

How do equations work?

A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.

Equation symbols (=) are used to represent equations.

A finance charge is what?

The interest and other fees levied on credit cards are included in a finance charge.

Typically, the finance charge is based on a stated APR (annual percentage rate).

The month's billing cycle lasts for 28 days.

Balance at current starting = x.

APR = 24%, or annual percentage rate.

The monthly percentage rate (MPR) equals 2% (24% divided by 12).

The final day's purchase cost $1,400.

$51 is the total finance fee for the month.

($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.

$50 ($51 - $1) serves as the initial balance's finance charge.

The starting balance at this time is x = $2,500 ($50 x 2%).

Current Beginning Balance Equation: x = 51 - 1 0.02

($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.

Finance charge savings from buying on the last day equals $27 ($28 - $1).

By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.

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Answer:

Sue has 8 marbles

Molly has 8 marbles

Step-by-step explanation:

m = number of marbles Molly has

s =  number of marbles that sue has

m+s =32

m = 3s

Substitute the second equation into the first  equation

3s+s =32

4s = 32

Divide by 4

4s/4 =32/4

s = 8

Sue has 8 marbles

m = 32 = 3*8 = 24

Molly has 8 marbles

Answer:

(T - 1)(x, y) = (x - 4, y - 3)

Step-by-step explanation:

For a given transformation:

T(x, y) = (x', y')

the inverse transformation is defined by:

(T - 1)(x', y') = (x, y)

So, if our transformation is:

T(x, y) = (x + 4, y + 3)

Then for the inverse transformation, we should have:

(T - 1)(x + 4, y + 3) = (x, y)

So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.

Writing the inverse transformation for a generic (x, y) point, we get:

(T - 1)(x, y) = (x - 4, y - 3)

Step-by-step explanation:

first : the sum of all angles in a triangle is always 180°.

second : the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c are the sides, A, B, C are the the corresponding opposite angles.

therefore,

angle J = 180 - 71 - 46 = 63°

j/sin(J) = k/sin(K)

11/sin(63) = k/sin(46)

k = 11×sin(46)/sin(63) = 8.880673249... m