When the equations 3x 5y 9 and 5x 3y 7 are solved then the value of x y 2?

Answers

Answer 1

When these equations are solved, the value of x is 4 and the value of y is 3. Therefore, the value of x + y = 7.

To solve the system of equations, we will use the elimination method.

First, we multiply the first equation by 3 and the second equation by 5.

3(3x + 5y = 9)

5(5x + 3y = 7)

Then, we add the equations together:

9x + 15y = 27

25x + 15y = 35

Now, we subtract the second equation from the first to eliminate the x terms:

-16y = -8

y = 0.5

Next, we plug this value for y into one of the original equations and solve for x:

3x + 5(0.5) = 9

3x = 8.5

x = 2.83

Finally, we plug the values of x and y into the original equation to verify that they are correct:

3(2.83) + 5(0.5) = 9

So, the value of x is 2.83 and the value of y is 0.5. Therefore, the value of x + y = 2.83 + 0.5 = 3.33.

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Related Questions

There are 8 employees on The Game Shop's sales team.
Last month, they sold a total of g games. One of the
sales team members, Chris, sold 17 fewer games than
what the team averaged per employee.
How many games did Chris sell?
Write your answer as
an expression.
games

Answers

According to the solving the team average is g/17 and Chris sold (g/8) - 17  games.

What do you mean by average?

The term "Average" refers to a value that should be used to describe the sample as a whole. The average is determined by dividing the total number of values in a set by the total number of values. also known as the arithmetic mean.

How do you calculate the mean?

Average A collection of integers are added, their count is divided, and the sum is used to determine the arithmetic mean.

According to the given information:

average game sold = g/8

since Chris sold 17 games less than average

hence, Chris sold   games

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Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum fo a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72

Work out the value of Dylan's initial investment

Answers

The amount invested by Dylan will be £1200.

What is simple interest?

Simple interest is the amount of borrowing-related interest that is calculated using only the original principal and a constant interest rate.

Given that Dylan invested some money in his bank. He agreed on a simple interest rate of 3% per annum for a period of 2 years. At the end of the 2-year period, the value of his investment increased by £72.

The amount of money invested will be calculated as,

SI = ( P x R x T ) / 100

72 = ( P x 3 x 2 ) / 100

7200 = 6P

P = 7200 / 6

P = £1200

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2 + (4-3 (3-6) -4] +12=

Answers

Answer: 23

Step-by-step explanation:

How do you find the dilation of a function?

Answers

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. The scale factor is equal to the ratio of these distances.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.

A graph's form is altered by dilations, frequently leading to "movement" in the process. In the figure above, the green curve has been "transformed" into the red curve. It has been three times "dilated" (or stretched) horizontally. A dilatation is an axial stretching or contraction brought on by multiplication or division.

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Please just write the numerical value of the volume of the prism.

I really need an answer for this FAST so if anybody can answer id really appreciate it :)

Answers

The volume of the prism in the attached figure is calculated to be

672 m³

How to find the volume of the prism

In the given problem, the formula used for volume of prism is

= area of base * height

Assuming a triangular base

area of triangular base = 1/2 * base * height

where

base = 12 m

height = 14 m

area of triangular base = 1/2 * 12 * 14

area of triangular base = 84 m²

The volume of the prism with a triangular base

volume of the prism = area of triangular base * height

where

area of triangular base = 84 m²

height = 8 m

volume of the prism = 84 * 8

volume of the prism = 672 m³

The volume of the prism is solved to be 672 m³

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A line passes through the points (–6,5) and (8,–2). What is its equation in point-slope form?

Answers

Answer:

y - (-2 ) = 1\2 ( x- 8)

Step-by-step explanation:

The point slope form equation is  y-y₁=m(x-x₁)

( -6 ,   5 )      (  8 ,  -2  )

( x  ,  y )       (x1 ,  y1 )

Firstly we need to find the slope

                                                                     y1  -  y              -2  -  5

we can find the slope by this equation : -------------      =  --------------

                                                                    x1  -   x                 8  - (-6)

The slope is 1\2

Forming Equations with a given variable
1. The ages of three cats are and. Their total age is
21. Determine.

Answers

The value of {a} in the given modelled statement equation is 5.

What are equations?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".

Given is that the ages of three cats are (a) , (a + 4) and (2a - 3). Their total age is 21.

We can model the given equation is -

(a) + (a + 4) + (2a - 3) = 21

a + a + 4 + 2a - 3 = 21

4a + 1 = 21

4a = 20

a = 5

Therefore, the value of {a} in the given modelled statement equation is 5.

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{

Complete question is given below -

The ages of three cats are a, a+4 and 2a-3. Their total age is 21. Determine a.

}

(a) Write down the value of xº
Given that 2-3 x 2⁹ = 2n
(b) find the value of n

Answers

From the equation (2-3 x 2⁹ = 2n), the value of n is -767.

What is the equation?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.

The word equation and its cognates in various languages may have slightly different meanings. In mathematics, an equation is a formula that uses the equals sign to denote the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Given data :

2-3 x 2⁹ = 2n

= 2n = 2 - 3 .

= 3 .   = 1536

= 2n = 2 - 1536

= 2n = -1534

Divide both sides by 2

= 2n/2

= -1534/2

n = -767

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Please tell me someone know I have to go back to school tomorrow

Answers

An equation for the function g(x) when g(x) = f(-x) is g(x) = -x/3 - 6, which is shown in the graph attached below.

What is a reflection?

In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure by producing a flipped, but mirror image of the geometric figure.

In Geometry, a reflection across the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By reflecting the given function across the across the y-axis (y = x), we have the following:

f(x) = x/3 - 6

g(x) = f(-x)

g(x) = -x/3 - 6.

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One computer in a lab is programmed to back up data at the turn of the minute every five minutes. Another computer is programmed to back up data at the turn of the minute every two minutes. Find the number of times in twenty-four hours that the two computers back up data at the same time.

(Assume that the computers do not back up at the start of the 24-hour period.)

Answers

The number of times which the two computers back up at the same time in twenty four hours as required is; 144.

How many times does the computers back up at the same time in 24 hours?

It follows from the task content that the first computer backs up after every five minutes and the second computer backs up every two minutes.

On this note, the least common multiple of both backup times represents when the two computers back up at the same time.

Hence, since the LCM of 5 and 2 is; 10.

It follows that the two computers back up at the same time after every ten minutes.

Ultimately, the number of times for which they backup at the same time in 24 hours; since 60 minutes = 1 hour is;

= ( 24 × 60 ) / 10

= 24 × 6

= 144 times.

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What will be the mirror image of − 3 − 4 in y-axis?

Answers

c sea see cee ion , hol, D, B

What is the segment partition formula?

Answers

The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints of the segment and the ratio of the desired point from the first endpoint.

The formula is:

Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1))

Where x1 and y1 are the coordinates of the first endpoint, x2 and y2 are the coordinates of the second endpoint, and r is the ratio of the desired point from the first endpoint.

The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints and the ratio of the desired point from the first endpoint. The formula is given in the form of Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1)).

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What is the value of 7 power 2?

Answers

The correct answer to the given question is 49. To solve the given problem following steps are followed :

Step 1: 7 power 2 means 7 multiplied by itself 2 times.

Step 2: 7 times 7 is 49.

Step 3: So, the answer is 49.

Comparing two quantities that generate the same result when one is multiplied by a certain amount is known as a multiplicative comparison. Sam, for instance, has twice as many balloons as Sid does. Sid's got three balloons. Sam has two times Sid's amount of balloons. Sam has a total of 6 balloons, which is equal to 2 + 3 + 1.

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Papa Bear ate a quarter of the pie. Mama Bear ate a third of what was left. Baby Bear ate half of what was left. How much of the pie was left for Goldilocks

Answers

Mama bear only ate (1/4) of the pie, leaving Goldilocks with the remaining (1/8) fraction.

Which fraction is it?

The fraction is expressed in the form a/b, where an is referred to as the numerator and b is referred to as the denominator. The fraction is a rational number that only divides two integers.

Let the pie's largest portion be a.

Half of the pie was consumed by Papa Bear.

Papa Bear then consumed = (1/2)a.

Rest of the pie is equal to a- (1/2).

a= (1/2)a

Mama bear consumed (half) of the remaining pie.

Mother bear consumed (1/2)(1/2).

pie portion a= (1/4) pie portion after mom bear has eaten = (1/2)

a- (1/4)a= (1/4)a

Baby bear afterwards consumed (half) of the remaining pie.

Baby bear ate (1/2)(1/4), thus. After the young bear has finished eating, the remaining pie is equal to (1/4) a- (1/8)a= (1/8)

The remainder of the component was given to GoldLiocks.

As a result, mom bear only ate (1/4) of the pie, leaving Goldilocks with the remaining (1/8) portion.

The complete question is Papa Bear ate 1/2 of a pie. Mama Benr ate 1/2 of what was left Baby Bear ate 1/2 of what

was left after Mama Bear finished.

3) What fractional part of the pie did Mama Bear eat?

4) What fractional part of the pie was left for Goldilocks?

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The ratio of the sides of a triangle is 3:5:6. If the perimeter of the triangle is 154 feet, what are the side lengths?

Answers

The side length of the triangle are

33 feet55 feet66 feet

How to find the side length of the triangle

A triangle with given ratio of sides as 3 : 5 : 6 and a perimeter of 154 feet is calculated from the formula of perimeter which is

= a + b + c

where

a, b, and c are the dimensions of the side length of the triangle:

Using the values given in the problem we have

let the ratio be a multiple of x such that

154 = 3x + 5x + 6x

154 = 14x

x = 11

a = 3 * 11 = 33 feet

b = 5 * 11 = 55 feet

c = 6 * 11= 66 feet

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Felix's dinner costs $16.49. Felix pays a $20 bill. About how much change did he receive? Show your work.

Answers

Answer: He received $3.51 in change.

Step-by-step explanation:

To get the answer we can subtract the amount Felix paid ($20) by the cost of the dinner ($16.49).

It will look like this:

$20.00 - $16.49 = $3.51

Answer:3 dollars and 51 cents

Step-by-step explanation:

What is the slope of the linear regression prediction equation if a person with 12 years of schooling

Answers

On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.

what is linear regression?

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.

the e slope of the linear regression prediction equation if a person with 12 years of schooling

a. 1(correct)

b. 12

c. 13

d. 1,500

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What is the value calculator?

Answers

A value calculator is a tool used to help assess the worth of an asset or investment.

The value calculator is designed to help individuals and businesses determine whether an asset or investment is a good value. The calculator takes into account various types of data, such as the current market value, expected future value, and any associated risk factors.

This data is then used to calculate the present value, which is the amount of money an asset or investment is worth today. The calculator also takes into account inflation and other factors that could affect the current value of the asset or investment.

The value calculator can be used to help individuals and businesses make informed decisions about their financial investments.

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I NEED THIS ASAP ILL GIVE 100 POINTS
1. Gas stations A. B. C, and G are located
along a straight lighway.
Station B is between stations: A
and c The distance frim station A to
station C is 22 miles. BC is 5 miles less than twice AB

Station C is between stations B and C. 4 miles from C. Find AC.

Answers

Answer: 3

Step-by-step explanation:You can't start at station 0 or 1, as there is not enough gas to travel to the next station.

Let's start at station 2 and fill up with 4 unit of gas. Your tank = 0 + 4 = 4

Travel to station 0. Your tank = 4 - 3 + 2 = 3

Travel to station 1. Your tank = 3 - 3 + 3 = 3

You cannot travel back to station 2, as it requires 4 unit of gas but you only have 3.

Therefore, you can't travel around the circuit once no matter where you start.

What role does place value have in finding 10% and 1% of a number? Write at least two complete sentences.

Answers

The fractions of the numbers are found as follows:

10% of a number is found moving the decimal digit one unit right.1% of a number is found moving the decimal digit two units right.

How to divide a number by powers of 10?

To divide a number by the nth power of 10, the decimal digit in the number is moved n units to the right.

The fraction that represents 10% of a number is given as follows:

10/100 = 1/10.

Meaning that the number is divided by 10, which is the first power of 10, and thus the decimal digit is moved one unit right in the number.

The fraction that represents 1% of a number is given as follows:

1/100.

Meaning that the number is divided by 100, which is the second power of 10, and thus the decimal digit is moved two units right in the number.

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A helicopter pad which is in the shape of a circle has a circumference of 62. 48 feet and a diameter of 24 feet. Which expression best represents the value of ?

Answers

The expression which represents the value of the area could be the six times the circumference of the circle.

What is area of circle ?

area of circle can be defined as the product of pi(3.14) and square of radius of the circle.

Given,

helicopter pad which is in the shape of a circle has a circumference 72.48

and the diameter of 24 feet.

radius = diameter/2

radius = 24/2

radius = 12

circumference of circle = 72.48

area of circle =  π*r*r

area of circle = 22/7 * 12 * 12

area of circle = 452.5

area of circle is approximately 6 times the circumference of circle.

Hence , The expression which represents the value of the area could be the six times the circumference of the circle.

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please help quickly
The polygons are similar. x = ___ Write your answer as a decimal

Answers

By using the fact that the two images are similar, we can write and solve a linear equation to get x = 3/2.

How to find the value of x?

We know that the two figures are similar, then, if we take the quotient between the adjacent sides for both figures, these quotients should give the same value.

Thus, we can write the equation:

14/10 = (x + 9)/(x + 6)

Now we can solve that equation for x, if we multiply both sides by (x + 6) we will get:

(14/10)*(x + 6) = x + 9

Now we can multiply both sides by 10 to get:

14*(x + 6) = 10*(x + 9)

14x + 84 = 10x + 90

Now we can solve this linear equation for x.

14x - 10x = 90 - 84

4x = 6

x = 6/4

x = 3/2

That is the value of x.

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HELP THIS IS MY LAST PROBLEM

A store bought a set of speakers for $82.86
and sold it for $195.82. What was the markup percentage? Round your answer to the nearest tenth.

Answers

Answer:

142%

Step-by-step explanation:

How I got this solution is made it as a ratio, "82.86:195.82".

I then simplified the balance by dividing 82.86 into both sides.

It then equaled around 0.42 (or 42%). Including itself, it got a markup percentage of 142%

convert the following decimals into mixed fraction. a) 4.444​

Answers

Answer:

4444/1000

You take the number of decimal points and turn them into zeros for the denominator

A survey found the following number of pets in different households.

4, 1, 0, 2, 1, 3, 1

What is the mean absolute deviation for the number of pets?



Answers

Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

What is mean?

Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.

Here,

Given:

Mean = 2

Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.

We can determine that at least

100 (1-1k2)% = 100 (1-1/4)% = 75%

is within 2 standard deviations of the mean using Chebyshev's Rule with

k = 2.

The percentage times the sample size yields the equivalent number of households:

=> 75% x 40 = 30

Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

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plsss answer for brainliest​

Answers

Answer:

answer is below

Step-by-step explanation:

1.

Two lines from right angles.

The lines are perpendicular

2.

x + 20 = 32

x =12

3.

You are a third year high school student.

You are a junior high school student.

4.

An angle measures 20°.

The angle is acute.

5.

A figure is square.

The figure is quadrilateral.

Mrs. Katz’s science class has spherical beakers that measure 14 centimeters in diameter. If Mrs. Katz wants to fill the sphere, what is the volume in cubic centimeters that she can fit into the beaker? round your answer to the nearest hundredth.

Answers

The volume of the spherical beaker is 1436.76 cubic centimeters

How to determine volume a spherical beaker?

In order to determine the volume the spherical beaker, you need the formula for the volume of a sphere.

The volume of sphere is given by the formula:

Volume of sphere = 4/3 πr³

where r is the radius of the sphere

Since the spherical beaker that measure 14 centimeters in diameter. The radius of the beaker will be:

radius = 14/2 = 7 cm

Volume of the spherical beaker =  4/3 × π × 7³

Volume of the spherical beaker = 1436.76 cubic centimeters

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Please help!!!

if 7^9/7^n = 7^3 then n is ___?

Answers

Answer:

n= 6

Step-by-step explanation:

7^9/7^6 is the same as 7^9 - 7^6/ 7^9-6 but it gives you 7^3

A cylinder's height equals the diameter of its base. What fraction of the total surface area of the cylinder is the total area of the two bases

Answers

If the Cylinder's height equals to the diameter of its base , then the fraction of the total surface area of the cylinder to the total surface area of the two bases is 1/3 .

The curved surface area of the cylinder with height "h" and radius "r" is written as ⇒ [tex]2\pi rh[/tex] ;

the area of the top and bottom of the cylinder is ⇒ [tex]\pi r^{2} + \pi r^{2}[/tex] = [tex]2\pi r^{2}[/tex] ;

the total surface area of the cylinder will be ⇒ [tex]2\pi rh[/tex] [tex]+2\pi r^{2}[/tex]  ....equation(1)

it is given that the height of cylinder is equal to the diameter of the base ,

that means ; [tex]h = 2r[/tex]

Substituting the value [tex]h = 2r[/tex] in the equation(1) ,

we get ,

total surface area of cylinder = [tex]4\pi r^{2} +2\pi r^{2}[/tex] = [tex]6\pi r^{2}[/tex]

So , the required fraction is = [tex]\frac{2\pi r^{2} }{6\pi r^{2} }[/tex] ,

On simplifying ,

we get ,

= [tex]\frac{1}{3}[/tex]  .

Therefore , the fraction of two bases to the total surface area is [tex]\frac{1}{3}[/tex] .

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raph g(x)=(x+2)(x - 1) - x^{2}g(x)=(x+2)(x−1)−x 2 by making a table and plotting the corresponding points. Then, determine if the function is linear, quadratic, or neither.

Answers

The graph from the function is a linear graph

How to determine the graph from the function

From the question, we have the following parameters that can be used in our computation:

g(x)=(x+2)(x−1)−x 2

Express properly

So, we have the following representation

g(x) = (x + 2)(x − 1) − x²

Next, we set x = 0, 1, 2 and 3 to determine the table of values

g(0) = (0 + 2)(0 − 1) − (0)² = -2

g(1) = (1 + 2)(1 − 1) − (1)² = -1

g(2) = (2 + 2)(2 − 1) − (2)² = 0

g(3) = (3 + 2)(3 − 1) − (3)² = 1

So, the table is

x        0         1        2        3

g(x)     -2      -1        0        1

From the table above, we can see that as x increases by 1, y constantly increase by 1

This means that the function is a linear function

See attachment for the graph

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Write the equilibrium expression, Kc, for Reaction 4: H2 + I2 2HI (Hint: Because of the coefficient 2 in front of HI, you will have to square the concentration of HI to find Kc.) Colonies were mostly run for the benefit of mother countries, but some people believed the colonial system helped everyone because it spread European civilization. How does Kipling feel about colonialism What are 5 examples of nonrenewable? Mr. L is a 58-year-old man who is recovering in the orthopedic unit of the hospital from a right total knee replacement of two days ago. Mr. L has type 1 diabetes and was diagnosed with the condition at 12 years of age. He has been managing his illness with blood glucose checks 4 times a day: before meals and once at bedtime. He currently takes Humulin-R on a sliding scale based on his glucose results. He weighs 315 lbs. and has developed osteoarthritis in both knees, requiring surgical replacement of the knee joint on the right side.The nurse caring for Mr.L. enters his room at 8:15 AM for a morning assessment. She finds Mr. L lying in his bed awake, but his mental status is altered and there is a fruity odor to his breath. His vital signs are: HR 100bpm, RR 32/minute, BP 116/78 mm Hg. The nurse notes that his last blood glucose level was 156 mg/dl the previous night before bed and he received 2 units of insulin at that time, but he has not received his morning glucose check or any insulin yet today. A rapid bedside glucose check reveals a blood glucose level of 468 mg/dl. The nurse contacts the physician and upon further examination, Mr. L is diagnosed with diabetic ketoacidosis.Describe how diabetic ketoacidosis could develop in a patient who has undergone surgery.Mr. L has an elevated respiratory rate that is classified as Kussmaul respirations. Explain this type of respiratory pattern.Mr. L complains of feeling very thirsty and that he cant see very well because his vision is suddenly blurry. The nurse notes he has a large amount of clear urine in his catheter bag. She takes a sample of urine and it tests positive for ketone bodies.How does the body release ketone bodies into the urine when DKA occurs.Explain why Mr. L would have increased urinary output, blurred vision, and increased thirst.The physician has given orders to administer 0.9% Sodium Chloride IV at 500 mL/hour for 1 hour, then 200mL/hour for the next 4 hours. The nurse is to start a drip of Regular insulin at 0>1mg/kg/hour. The physician has also added orders for lab work, including a metabolic profile and arterial blood gases. The metabolic panel results are: Na 135 mEq/L, K 3.2mEq/l, CL 95mmol/L, Ca 8.5mg/dl. The arterial blood gases results are as follows: ph 7.31, pCO2 20 mmHg, pO2 95 mmHg, HCO3 12 mmol/LWhat is the rationale for the IV fluids to be given at this rate?Explain why the patients potassium result is at the current level?Based on the metabolic profile results, what is the next step that the nurse would most likely need to perform?Explain why DKA would most likely produce these types of blood gas results.An hour after the insulin was started, the nurse checks Mr. L.s blood glucose levels and notes it has decreased to 208 mg/dl. He appears more comfortable and his vital signs are: HR 92 bpm, RR 22/ minute, BP 116/70mm Hg, O2 saturation 95% on 2L of oxygen.What should the nurse do next? When describing DNA replication we say that DNA polymerase synthesizes the new strand in a 5' to 3' direction, moving down the template strand from 3' to 5'. Briefly explain why replication always proceeds in this direction Type your response in the box. Think about how governments allocate their budgets. What might make government officials decide to spend additional money on Social Security instead of the military people who received Nobel prize in South Africa What can help overcome a positive enthalpy of solution and allow a solid solute to dissolve in water