Two lines meet at a point that is also the vertex of an angle. Set up and solve an equation to find the value of x

The alphabetic index for ICD-10-CM (International Classification of Diseases, 10th Revision, Clinical Modification) is organized by terms and codes (option b).

It serves as a reference tool that allows users to locate codes for specific diseases, conditions, procedures, or external causes. The index is typically organized alphabetically according to the terms or phrases that describe various medical conditions. Users can navigate the index by looking up keywords related to the diagnosis or procedure they are interested in. The index provides corresponding codes that can be used for accurate classification and documentation purposes.

The ICD-10-CM index may include subheadings, indents, and cross-references to assist with finding the appropriate code. It is an important component of the coding system, helping healthcare professionals, coders, and researchers in accurately identifying and classifying medical conditions and procedures for billing, research, and statistical purposes. The correct option is b.

The complete question is:

The alphabetic index for icd 10 cm is organized by

a) the condition

b) terms and codes

C) none of the above

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Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

To solve the given system of equations, we first need to compute the determinant of the coefficient matrix.

The coefficient matrix is given by:

A = [[-3 7 -4]

[1 2 -1]

[5 -2 0]]

(a) The determinant of A is given by:

|A| = (-3)(2)(0) + (7)(-1)(5) + (-4)(1)(-2) - (-4)(2)(0) - (7)(1)(0) - (-3)(-2)(-1)

|A| = -35 + 8 - 6

|A| = -33

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a)There are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

a)Set A has m elements and set B has n elements

Firstly determine the number of elements A*B by using the multiplication rule

Number of elements\(=A*B=m*n=mn\)

For each element, \(A*B\) we have two option

First element 2 ways

Second element 2 ways

mn element 2 ways

By using the multiplication rule

\(2*2*2......=2^m^n }\)

Then there are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

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Answer:

9 is the constant.

Step-by-step explanation:

2x+9+7x

=9x+9

where 9 is the constant because 9 is the number which is not multiplied to any variables.

Answer:

4x - 16

Step-by-step explanation:

X can be any value (I made it 20)

5.5(2)+ 1 - (1.5(2) +17)

11 + 1 - 20

12 -20

-8

4(2) - 16

8 - 16

-8

You better say thanks (from a grade 9 academic student)

Answer:

4x-16

Step-by-step explanation:

5.5x + 1-(1,5x+17)?

When there's a - in front of an expression in parenthesis, cvhangethe sign of each term in the expression.

5.5+1-1.5x-17

Like terms

4x + 1-17

Then boom 4x-16

Answer:

y = 45 + 0.15x

Step-by-step explanation:

$45 is the initial cost

0.15 is the cost for each mile

we dont know the miles so miles is x, unknown

The area of the sidewalk is 78 sq. feet

we are given the dimensions of the pool to be,

length = AB or DC = 12 feet

breadth = BC or AD = 10 feet

area of the pool ABCD ( refer to the diagram attached) = length x breadth

= 21 x 10

= 210 sq. feet

now, to find the area of the rectangle PQRS, which includes the area of the pool and the sidewalk,

we have,

length = PQ or SR

SR =  D'C' + SD' +C'R

     = 12 + 3 + 3

     = 18 feet

breadth = QR or PS

QR = QB' +B'C' + C'R

     = 3 + 10 + 3

     = 16 feet

thus, we know the area of a rectangle  = length x breadth

= 18 x 16

= 288 sq. feet

now, to find the area of the sidewalk / the shaded part (refer to the diagram)

area of PQRS - area of ABCD

= 288 - 210

= 78 sq feet

Hence the area of the sidewalk is 78 sq. feet

What is area?

The measurement that expresses the size of a region on a plane or curved surface is called area.

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Answer:

its the second one

Step-by-step explanation:

Answer:

B. Subtract 28 from both sides

Step-by-step explanation:

2x + 28 = 40

      -28   -28

2x = 12

2x/2 = 12/2

x = 6

Answer: $83.35

Step-by-step explanation:

Find 15% of 72.48 = 10.87

10.87 + 72.48 = 83.35

The domain and range of a function can be determined by analyzing its graph and also algebraically.

MAFS.912.F-IF.2.4 standard of Florida Mathematics State Standards is based on identifying the domain and range of a function. The domain is a set of input values that the function is defined for, while the range is a set of output values that the function produces. Here are the answers to the given question:35. State the domain and range for each function

.(a) f(x)

= 3x - 2

Domain: All real numbers Range:

All real numbers(b) g(x)

= x² - 5

Domain: All real numbers Range

: y ≥ -5(c) h(x)

= √(x + 4)

Domain: x ≥ -4

Range: y ≥ 0(d) k(x)

= 4

Domain: All real numbers Range: {4}.The domain and range of a function can be determined by analyzing its graph and also algebraically.

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The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

In this question we find the locations of the three vertices of the triangle, each of which has to be transformed by using a non-rigid transformation rule, that is, a transformation rule that does not conserve the original form of the triangle. We are asked to determine the possible coordinates associated with the triangle A'B'C.

If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the coordinates of the vertices of the triangle A'B'C' are:

A'(x, y) = (2 · 7, 6 - 3)

A'(x, y) = (14, 3)

B'(x, y) = (2 · (- 3), 5 - 3)

B'(x, y) = (- 6, 2)

C'(x, y) = (2 · (- 4), 9 - 3)

C'(x, y) = (- 8, 6)

The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

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Answer:

x = { 0 , -1 , 10 }

Step-by-step explanation:

Hope this helps!

Answer: -10<x<0 or x>1

Step-by-step explanation:

Let's solve your inequality step-by-step.

x^3+9x^2-10x>0

Let's find the critical points of the inequality.

x^3+9x^2-10x=0

x(x-1)(x+10)=0 (Factor left side of equation)

x=0 or x-1=0 or x+10=0 (Set factors equal to 0)

x=0 or x=1 or x= -10

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<-10 (Doesn't work in original inequality)

-10<x<0 (Works in original inequality)

x<0<1 (Doesn't work in original inequality)

x>1 (Works in original inequality)

Answer: -10 < x < 0 OR x > 1

Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.

To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:

\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)

Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.

Additionally, for labor (L), the fractional subordinate of the generation work is:

\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)

Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity

The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment.  This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.

In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.

In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.

In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.

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1.75% is rate of increse does not change.

What's the math rate?

An unusual ratio in which the two parts are expressed in distinct units is called a rate. The price is 69 for 12 ounces, for instance, if a 12-ounce can of maize costs that much.

                    This is not a proportion of two comparable units, like shirts. This ratio combines the values of the two dissimilar units, cents and ounces.

1960 = 88,000,000

2010 = 242,000,000

formula: (new-old)/old* 100

(242,000,000 - 88,000,000)/88,000,000 * 100

154,000,000/88,000,000*100

1.75*100

= 1.75%

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Rectangle is the shape of the cross section taken parallel to the base of a cylinder.

What is called rectangle?

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879.21 cubic feet is the volume of the cement needed to pour a patio of the following dimensions including the fire pit.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Firstly let us find the volume of the cylinder, whose radius is 1.5 ft, height is 3ft.

Volume of cylinder=πr²h

=3.14×1.5²×3

=21.21 cubic feet.

Now let us find the volume of fire pit.

Volume of fire pit=Length×width×height

=11×13×6

=858 cubic feet.

The total volume = 21.21+858

=879.21 cubic feet.

Hence, 879.21 cubic feet is the volume of the cement needed to pour a patio of the following dimensions including the fire pit.

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Answer:

5 I think because don't you divide

Answer 150β

10 times 15

Answer:

135 leaves

Step-by-step explanation:

first, you will need to find out how many leaves for 1 caterpillar.

18/6

18 divided by 6 which gives us 3

now multiply 45 by 3

45*3=135

so 135 leaves are needed to feed 45 caterpillars.

(I tried)

The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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The variance over an interval for a uniform distribution is

V(X) = ( b - a )²/ 12

Here,

a and b are intervals .

By the definition of the variance, V(X) = E[X2] − (EX)2.

On solving ,

V(X)

=(a²+ab+b²)/3−(a²+2ab+b²)/4

=(a²−2ab+b²)/12

=( b - a )²/ 12

A continuous probability distribution is a Uniform distribution and is related to the events which are equally likely to occur. It is defined by two parameters, x and y, where x = minimum value and y = maximum value. It is generally denoted by u(x, y).

A two-parameter family of curves known as the uniform distribution (sometimes known as the rectangle distribution) is famous for having a constant probability distribution function (pdf) between its two bounding parameters.

For values tabulated to a specific number of decimal places, this distribution is suitable for illustrating the distribution of round-off mistakes. Techniques for generating random numbers , like the inversion method, use the uniform distribution.

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Answer:

Step-by-step explanation:

The difference between two consecutive even integers  is 2

and even integer is always twice some integer

So:

2x   ← smaller of numbers

2x+2  ←  larger of numbers  

2×2x     ←  twice the smaller of numbers

3(2x+2)      ←  three  times the larger

3(2x+2)-26   ← 26 less than 3 times the larger

twice the smaller is  26 less than 3 times the larger:

3(2x+2) - 26 = 2×2x

6x + 6 - 26 = 4x

       +20         +20

6x - 4x = 20

       2x = 20

2x+2 = 20 + 2 = 22        

Check:   2×20=40; 40+26 = 66; 66÷3=22

The latus rectum of an ellipse is 288/13 when the ellipse equation is given as \(x^2/169 + y^2/144 = 1\). Option A is correct.

The standard form of an ellipse equation is given as  

\((x2/a2) + (y2/b2) = 1\)

where :

a = lengths of the semi-major axes

b = length of semi-minor axes

The length of the chord through one of the foci that are perpendicular to the major axis is defined as the latus rectum of an ellipse.

From the given data the equation of the ellipse is given as :

x² / 169 + y² / 144 = 1

By comparing the standard equation and the given equation of the ellipse we get :

a² = 169

a = √169

\(a = 13\)

b² = 144

b = √144

\(b = 12\)

The distance between the center and one of the foci is given by

c = √(a² - b²)

= √(13² - 12²)

= 5

We can find the latus rectum by substuting a and b values in the latus rectum of an ellipse formula,

= 2×b²/a

= 2 × 12² / 13

= 288/13

Therefore, the latus rectum of an ellipse is 288/13.

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When m and n are integers such that 6<m<n, the value of n is 18.

In mathematics, multiples are the results of multiplying a given number by an integer. Manifold is the basic definition of multiplicity. A multiple is defined in mathematics as the product of one integer multiplied by another number. A multiple of a number is just the product of that number and another non-zero whole number. For instance, 12 is the sum of 2 and 6. 2 and 6 are both non-zero whole numbers.

Here,

We know this because statement 2 tells us that 36 is a multiple of N.

So, let's first list all pairs of values that satisfy statement 2 (as well as the given information):

i) M = 12 and N = 36

ii) M = 18 and N = 36

iii) M = 12 and N = 18

That's it!!

Among these three possible pairs of values, only one pair satisfies statement 1: M = 12 and N = 18

Since it must be the case that M = 12 and N = 18, the target question is N = 18

The value of n is 18 when m and n are integers such that 6<m<n.

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Answer:  [DISCLAIMER]: All answers are rounded to the nearest hundredth of a decimal

f(1) = 5.20 ; f(2) = 14.70 ; f(3) = 27 ; f(4) = 41.57

Step-by-step explanation:

f(1) = (1 + [2×1])\(^{3/2}\)

f(1) = (1 + 2)\(^{3/2}\)

f(1) = (3)\(^{3/2}\)

f(1) ≈ 5.20

f(2) = (2 + [2×2])\(^{3/2}\)

f(2) = (2 + 4)\(^{3/2}\)

f(2) = (6)\(^{3/2}\)

f(2) ≈ 14.70

f(3) = (3 + [2×3])\(^{3/2}\)

f(3) = (3 + 6)\(^{3/2}\)

f(3) = (9)\(^{3/2}\)

f(3) = 27

f(4) = (4 + [2×4])\(^{3/2}\)

f(4) = (4 + 8)\(^{3/2}\)

f(4) = (12)\(^{3/2}\)

f(4) ≈ 41.57

Answer:

\(\approx \frac{11}{40}\)

Step-by-step explanation:

Juice squeezed from first orange = \(\frac{4}{17}\) = 0.235

Juice squeezed from second orange = \(\frac{3}{10}\) = 0.3

Juice squeezed from third orange = \(\frac{9}{20}\) = 0.45

Juice squeezed from fourth orange = \(\frac{3}{11}\) = 0.27

Juice squeezed from fifth orange = \(\frac{7}{15}\) = 0.47

Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725

Total juice to be squeezed = 2 cups

More juice required = 2 - 1.725 = 0.275 \(\approx \frac{11}{40}\)

Therefore, to make it 2 cups of orange juice for the family, about \(\approx \frac{11}{40}\) cups of more juice is required.

Answer:

1 5/6

Step-by-step explanation: this is what i got from doing the math. please correct me if I'm wrong