What is the domain of function m based on the graph?

What Is The Domain Of Function M Based On The Graph?

Answers

Answer 1

Answer:

let why is equal to FX b and function with an independent variable X and dependent variable y if a function of f provide a way to successfully produced the single value using for the prepos a value of x then the chosen X value is called belong to domain f


Related Questions

Given ƒ(x) = x + 10 and g(x) = x2 + 5x - 1, find ƒ(3) + g(5).

Answers

If I’m not mistaken it should be 8x+25. :)
Hope this helps!

Someone gotta help me out, it’s geometry and I’m in a hurry and I can’t figure this out. Someone help pls :(

Answers

Equilateral Triangle: All 3 sides of a Triangle are equal in length

Isosceles Triangle: Two sides of Triangle are equal in length

Scalene: Triangle has different side lengths

So, for example, when you see Q1, you estimate the length of each side and think it is Scalene Triangle because all of its sides are of different length. (You can also use a ruler to find out the side lengths if it can be used for scale)

Q2, you can say that the side lengths AC and BC look similar, so it is an Isosceles Triangle

Q6, when you look at the side lengths, you can tell it is an equilateral Triangle because all the sides are equal in length

You can try the rest and check for yourself. If you still have any doubts, you could ask me. I hope this information helps you.

What is the shaded portion of the figure?

Answers

Answer:

D

Step-by-step explanation:

Area of Part of a Circle = (θ/360)[tex]\pi r^{2}[/tex]

We first find the area of CAB first.

Radius of CAB = AB = 6cm

θ  = 112

Area of CAB = [tex]\frac{112}{360} \pi (6)^{2} \\=\frac{56}{5} \pi cm^{2}[/tex]

Next we will find the area of FAE.

Radius of FAE = AE = 4cm

Area of FAE = [tex]\frac{112}{360} \pi (4)^{2} \\=\frac{224}{45} \pi cm^{2}[/tex]

Lastly,

Area of Shaded Region = Area of CAB - Area of FAE

= [tex]\frac{56}{5} \pi -\frac{224}{45}\pi \\=\frac{56}{9} \pi cm^{2}[/tex]

Therefore the answer is D.

A swimming pool is being filled with water. The diameter of the pool is 27 feet, and the height is 4 feet. Which formula best represents the volume of the pool?
V = pi (13.5) (4)
V = pi (13.5) squared (4)
V = pi (27) (4)
V = pi (27) squared (4)

Answers

The expression that best represents the volume is (b) [tex]V = \pi (13.5)^2 (4)[/tex]

How to determine the volume?

The given parameters are:

Diameter, d = 27

Height, h = 4

Start by calculating the radius using:

r = d/2

This gives

r = 27/2

r = 13.5

The volume is then calculated as:

[tex]V = \pi r^2 h[/tex]

This gives

[tex]V = \pi (13.5)^2 (4)[/tex]

Hence, the expression that best represents the volume is (b) [tex]V = \pi (13.5)^2 (4)[/tex]

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In the figure, ∠ABD = 50° and ∠BCD = 60°.
Calculate ∠ADC and ∠ADO.​

Answers

Answ

Step-by-step explanation:

The following expression gives an approximate value of the total average credit card debt in a u.s. household (in dollars) t years after 1995. 404t+5190 use this expression to predict what the total average credit card debt was or will be in the year 1998. answer: in the year 1998, the total average credit card debt for a u.s. household will be (or was) dollars.

Answers

The total average credit card debt for  a U.S household will be $9292.

How much is considered a lot of credit card debt?If your total balance is more than 30% of the total credit limit, you may be in too much debt. Some experts consider it best to keep credit utilization between 1% and 10%, while anything between 11% and 30% is typically considered good.

We are given that an expression which gives an approximate value of the total average credit card debt in a U.S. household (in dollars )t years after 1995

We have to find the total average credit card debt will be in the year 2004.

Number of years =2004-1995=9

t=9 years

Substitute the value of t in the given expression

Then , total average credit card debt in a U.S household will be in the year

Debt(t)=418t+5530

Debt(9)=418 * 9+5530= $9292  in 2004

Hence, in the year 2004, the total average credit card debt for  a U.S household will be $9292.

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A sales tax of 7% was added to the $36.00 price of a jacket. What was the total cost of the jacket?
a. $36.70
b. $38.10
c. $36.07
d. $38.52

Answers

Answer:

[tex]\huge\boxed{\sf \$ \ 38.52}[/tex]

Step-by-step explanation:

Marked price = $36.00

Sales tax = 7%

Sales tax in $:

= 7% of marked price

= 7% of $36 [Key: "of" means "to multiply"]

= 7/100 * 36

= 0.07 * 36

= $2.52

Selling price:

= Marked price + sales tax

= $36 + $2.52

= $38.52

[tex]\rule[225]{225}{2}[/tex]

The total cost of the jacket was the amount of  $38.52. The correct answer is option (d).

To find the total cost of the jacket after adding a 7% sales tax, we need to calculate the tax amount and add it to the original price.

Calculate the tax amount:

Tax amount = 7% of $36.00

Tax amount = 0.07 × $36.00

Tax amount = $2.52

Add the tax amount to the original price:

Total cost = $36.00 + $2.52

Total cost = $38.52

Thus, the total cost of the jacket was the amount of  $38.52.

Hence, the correct answer is option (d).

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SOMEONE PLS HELP, ITS GEOMETRY, ITS URGENT ASAP PLS

Answers

Answer:

for st1: It's Given

For St2: Definition

For St3: Dividing BE as BF and FE or You can write From Figure:

For St4: You can write From st3

for st5: From St 4

For St7 : They are congruent by SSS axiom

The formula used to convert degrees Celsius to degrees Fahrenheit is
F = 0+32.
Convert 59°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?
A. C= F-32; conversion: 59°F = 135°C
B. C= (F-32); conversion: 59°F = 15°C
C. C= (F-32); conversion: 59°F = 106°C
OD. C=F-32; conversion: 59°F = 15°C

Answers

Answer:

See below

Step-by-step explanation:

Wrong formula  ...and all of your answers are messed up too....

  F = 9/5 C + 32

re-arrange to:  

  C = 5/9 ( F-32)

    C = 5/9 (59-32) = 15 ° C

Choose the term that best fills in the blank to complete the statement.

A dilation is a transformation that maps every point on a line segment to a point on a parallel line segment. The image has a length that is determined by the preimage and a scale factor, which is a fixed _[blank]_ of the original segment's length.

a. Distance
b. Length
c. Multiple
d. Width

Answers

Answer:

d

Step-by-step explanation:

becoz u already answered it lloll

Solve the problems using your graphing calculator. Round all parameter values to
the nearest hundredth. Complete Steps 1-4 in order.

Caleb is training for an upcoming race. He runs a mile every day, keeps track of his
timing, and records his progress.
Day #
1
2
3
4
5
6
7

Run time (min)
8.2
8.1
7.5
7.8
7.4
7.2
7.1

Step 1: Choose the function that best represents the data.
y= 8.36x -0.19
y=-0.19x+8.36
y = 8.36x+0.19
y=0.19x8.36.

Answers

Drawing a scatter plot for the given values on a graphing calculator, we have;

y = -0.19•x + 8.36

How can the function that best represents the data be found?

The values are;

Day; Running time

1; 8.2

2; 8.1

3; 7.5

4; 7.8

5; 7.4

6; 7.2

7; 7.1

Entering the above values in a graphing calculator, we have;

The slope of the line of best fit = -0.19The x-intercept = 45

Therefore;

0 = -0.19 × 45 + y-intercept

0 = -8.36 + y-intercept

y-intercept = 8.36

The equation found using the statistics function for scatter plot on a calculator is therefore;

y = -0.19•x + 8.36

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The__________or_______a value of the function is found at the vortex.

Answers

Answer:

Step-by-step explanation:

n fluid dynamics, a vortex is a region in a fluid in which the flow revolves around an axis line, which may be straight or curved. Vortices form in stirred fluids, and may be observed in smoke rings, whirlpools in the wake of a boat, and the winds surrounding a tropical cyclone, tornado or dust devil. Vortices are a major component of turbulent flow. The distribution of velocity, vorticity, as well as the concept of circulation are used to characterise vortices. Hope that gave you a clue and hope you learned something new.

The minimum or maximum value of a function is found at the vertex.

The vertex represents either the minimum or maximum point on the graph of the function.

If the quadratic function opens upward, the vertex is the minimum point, and if it opens downward, the vertex is the maximum point.

The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a, b, and c are the coefficients of the quadratic function in the form ax² + bx + c.

Once you find the x-coordinate, you can substitute it back into the function to obtain the corresponding y-coordinate, which represents the minimum or maximum value of the function at the vertex.

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The point-slope form of the equation of line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4(x -8). What is
the slope-intercept form of the equation for this line?
y=1/4 x-12
y= 1/4x-4
y= 1/4x+2
y=1/4 x + 6

Answers

Answer:

  y = 1/4x +2

Step-by-step explanation:

The slope-intercept form of the equation for a line can be found by solving the given equation for y. It can be written directly from the slope and the y-intercept.

Solve for y

It is helpful to simplify the equation first, then isolate the y-variable by eliminating non-y terms from that side of the equation.

  y -4 = (1/4)(x -8) . . . . . . . given

  y -4 = (1/4)x -2 . . . . . . . . eliminate parentheses

  y = 1/4x +2 . . . . . . . . . . add 4. This is the desired form

Use given information

Alternatively, you can use the given information to write the slope-intercept equation directly. The slope in the point-slope form is the multiplier outside parentheses. In y-4 = 1/4(x -8), the slope is 1/4.

The y-intercept is the point where the line crosses the y-axis. Its coordinates always have an x-coordinate of 0. That is, the given point (0, 2) tells you the y-intercept is 2.

Using the slope and intercept in the slope-intercept form, you get the equation you're looking for:

  y = mx +b . . . . . line with slope m and y-intercept b

  y = 1/4x +2 . . . . . line with slope 1/4 and y-intercept 2

If g stands for a whole number, find the first three possible values of g2 + 3.
3, 4, 7
1, 4, 7
3, 5, 7
0, 4, 7

Answers

The first three values of g² + 3 are 3, 4, 7. The correct option is the first option 3, 4, 7

Evaluating an expression

From the question, we are to determine the first three possible values of g² + 3

From the given information,

g stands for a whole number

∴ The first three values of g are 0, 1, 2

When g = 0

g² + 3 becomes

0² + 3

= 0 + 3

= 3

When g = 1

g² + 3 becomes

1² + 3

= 1 + 3

= 4

When g = 2

g² + 3 becomes

2² + 3

= 4 + 3

= 7

Hence, the first three values of g² + 3 are 3, 4, 7. The correct option is the first option 3, 4, 7.

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Jun Wei is a bus driver who earns $ 1600 per month while Lixin is a manager who earns $ 6800 per
month. In 2012, Jun Wei donated a total of $ 1200 to charitable organisations while Lixin donated a
total of $4500 to charitable organisations. Who donated a higher percentage of his or her annual
income to charitable organisations?

Answers

Answer:

Jun Wei donated a higher percentage than Lixin

calculate it by multiplying monthly salary by 12 then divide the total donated to total earned for both people... you Will Find 6.25 % for Jun Wei but for Lixin You Will get 5.51%

i hope this helps u :)

thank u

Noise levels at 5 airports were measured in decibels yielding the following data:
152,154,139,124,120
1. Construct the 80% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
2. Calculate the sample mean for the given sample data. Round your answer to one decimal place.

Answers

The confidence interval for the mean noise at locations is (127.09,148.51).

Given noise levels at 5 airports=152,154,139,124,120

We have to find the confidence interval for the mean noise and sample mean of the data. We know that mean is the sum divided by the number of items taken.

Mean = sum of X values/n

=137.8 (calculated in figure)

s=[tex]\sqrt{(x-x bar)^{2} /n-1}[/tex]

=[tex]\sqrt{972.8/4}[/tex]

=[tex]\sqrt{243.2}[/tex]

=15.59

t value at 80% confidence level with degree of freedom 4  (5-1) is 1.533.

standard error=t value*s/[tex]\sqrt{n}[/tex]

=1.533*15.59/[tex]\sqrt{5}[/tex]

=10.71

Upper level= Mean + standard error

=137.8+10.71

=148.51

Lower level=Mean - standard error

=137.8-10.71

=127.09

Hence the confidence interval for the true mean noise is (127.09,148.51) and sample mean is 137.8.

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From the diagram below, we can tell that < ADB is congruent to ____.



Select one:

a.
< CBA


b.
< DBC


c.
< C


d.
< A

Answers

Answer:

<CBA

Step-by-step explanation:

<CBA = 90 degrees (given)

<ADB = 90 degrees (given)

Hence They are congruent, so choose A

From the diagram below, we can tell that < ADB is congruent to <CBA.

Here, we have,

given that,

from, the given diagram, we get,

both the triangles ABD and BCA are right angle triangle.

here, we have,

angle D = 90

and angle B = 90

so, we have,

<CBA = 90 degrees (given)

<ADB = 90 degrees (given)

Hence They are congruent, so choose A.

From the diagram below, we can tell that < ADB is congruent to <CBA.

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help! I need help, pls show work!​

Answers

Let us first define what any of these terms mean.

The mean is found by adding all the numbers in the set, and dividing the sum by how many numbers are found in the set.

> Given set {5, 12, 6, 3, 8, 16, 8, 6}, the sum of the numbers is 5 + 12 + 6 + 3 + 8 + 16 + 8 + 6 = 64. 64 ÷ 2 = 32. Thus, the mean is 32.

The median is found by finding the number in the middle of the set, and dividing it by 2. This is easy in odd numbers as there is only one number in the middle that is the same amount of numbers left and right proportionally. However, in even numbers, there are two middles to be proportional. If it as an even number, then add the 2 middles together, and divide by 2.

> Given set {5, 12, 6, 3, 8, 16, 8, 6}, this set has an even number of numbers in the set. Thus, the middles are 3 and 8. 3 + 8 = 11, and 11 ÷ 2 = 5.5. Thus, the median is 5.5.

The mode is the number that most frequently appears in the set. In this case, we have 2 frequent numbers. That is 6 and 8. They both appear 2 times separately. Thus, 6 and 8 are the modes of this set.

The range is the difference (i.e subtraction) between the largest number on the set and the smallest number on the set.

> Given set {5, 12, 6, 3, 8, 16, 8, 6}, the range is 16-3 or 13. Thus, the range is 13.

Now that we have the definitions, we can compute the other set very easily.

> Given set {2, 7, 4, 11, 12, 4, 6}, the mean is 18.

> Given set {2, 7, 4, 11, 12, 4, 6}, the median is 5.5.

> Given set {2, 7, 4, 11, 12, 4, 6}, the mode is 4.

> Given set {2, 7, 4, 11, 12, 4, 6}, the range is 10.

Hope it helped!

What is the probability that a standard number cube will show a two or four when it is rolled?

Answers

Answer: 1/3

Explanation:

The cube has six sides, and two and four take two sides.
Two= 1/6 of the cube
Four=1/6 of the cube

1/6+1/6= 2/6

which pair of anglers are alternate exterior angles of parallel lines v and w

Answers

In the image given, a pair of alternate exterior angles is: a° and d°.

What are Alternate Exterior Angles?

The exterior angles that lie opposite sides along the transversal that intersects two parallel lines are said to be alternate exterior angles, which are congruent.

In the image given below, angles a and d lie alternate to each other along the transversal and are also exterior angles.

Therefore, a pair of alternate exterior angles is: a° and d°.

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15. When x = -3, what is the value of
|4x²| − 2x − (9 − |−3x|)

(A)0
(B) 12
(℃) 30
(D) 42

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Solving for your equation:}[/tex]

[tex]\mathbf{|4x^2| - 3x - (9 - |-3x|)}[/tex]

[tex]\mathbf{= |(4)(9)|-(2)(-3)-(9-|(-3)(-3)|)}[/tex]

[tex]\mathsf{= |36| - (2)(-3)- (9 - |(-3)(-3)|)}[/tex]

[tex]\mathbf{=36 - (2)(-3) - (9 - |(-3)(-3)|)}[/tex]

[tex]\mathbf{= 36 -(-6) - (9 - |(-3)(-3)|)}[/tex]

[tex]\mathbf{= 42 - (9 - |(-3)(-3)|)}[/tex]

[tex]\mathbf{= 42 - (9 - |9|)}[/tex]

[tex]\mathbf{= 42 - (9 - 9)}[/tex]

[tex]\mathbf{= 42 - (0)}[/tex]

[tex]\mathbf{= 42 - 0}[/tex]

[tex]\mathbf{= 42}[/tex]

[tex]\huge\textbf{Notice that your equation kept getting}\\\huge\textbf{getting smaller and smaller?}\\\\\\\huge\textbf{That's because we kept solving as we got}\\\huge\textbf{closer to your result and we got there}\\\huge\textbf{sooner than we thought :)}[/tex]

[tex]\huge\textsf{ANYWAY!}[/tex]

[tex]\huge\textsf{Therefore, the answer is: \boxed{\mathsf{Option\ D. 42}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Select the correct answer.
Simplify the following radical expression.
√48
16√3
4√3
4√2
6√2

Answers

Step-by-step explanation:

[tex] = \sqrt{48} [/tex]

[tex] = \sqrt{16 \times 3} [/tex]

[tex] = \sqrt{ {4}^{2} \times 3 } [/tex]

[tex] = \sqrt{ {4}^{2} } \times \sqrt{3} [/tex]

[tex] = 4 \times \sqrt{3} [/tex]

[tex] = 4 \sqrt{3} [/tex]

The answer is B.

find the HCF of a²b²-2a+1​

Answers

Answer:

1

Step-by-step explanation:

Just  '1'  

Which statement best defines perpendicular lines?

A.
lines that share a point
B.
lines that intersect and form right angles
C.
lines that lie in the same plane and do not intersect
D.
lines that lie in the same plane
Reset Next

Answers

Perpendicular lines are lines that intersect and form right angles

What is a line?

A line is defined as the shortest distance between two points. Its equation is written in slope-intercept form as y = mx + b

Perpendicular lines on the other hand are lines that meet at a point to form a right angle. Hence we can conclude that perpendicular lines are lines that intersect and form right angles

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Answer: lines that intersect and form right angles

Step-by-step explanation:

What is the inevitable result of running statistical inference on a random sample rather than on an entire population

Answers

Your question is incomplete. Please read below to find the complete questin.

B. Sampling error is the inevitable result of running statistical inference on a random sample rather than on an entire population.

A sampling mistake is a statistical blunder that occurs when an analyst does now not pick out a sample that represents the entire population of records. As a result, the outcomes found in the pattern no longer constitute the outcomes that would be received from the entire population.

Sampling error takes place when a sample is chosen from the incorrect populace statistics. Non-reaction errors occur when a user reaction is not received from the surveys. it can happen because of the incapacity to contact capability respondents or their refusal to respond.

The maximum generally used measure of sampling errors is referred to as the same old errors (SE). the standard error is a measure of the spread of estimates across the "true fee". In exercise, only one estimate is available, so the same old blunders can not be calculated at once.

What is the inevitable result of running statistical inference on a random sample rather than on an entire population?

A. Standard deviation

B. Sampling error

C. Sampling distribution

D. Stratified sampling

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Find (in radians) for an
angle having an arc length of
23 and a radius of 15.
?
0 = ² radians
Enter

Answers

By using the concept of circumference and all known inputs, we conclude that an arc length of 23 and a radius of 15 is equal to 23/15 radians.

How to determine the central angle of an arc

According to the statement, arc length (s) and radius (r) are given:

s = 23, r = 15

The central angle (θ), in radians, is determine by dividing the former by the latter:

θ = s/r

θ = 23/15 rad

By using the concept of circumference and all known inputs, we conclude that an arc length of 23 and a radius of 15 is equal to 23/15 radians.

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can someone please help mee ( will give brainliest 20 points!!!)

Answers

Answer:

1. can't answer, can only approximate

2. when f(x) = 2, x = -1

Step-by-step explanation:

We can't evaluate f(2)  because we don't have f(x), if we did, we would plug in 2 for x.

On the other hand, solve f(x) = 2 asks for what x is equal to when f(x) = 2, f(x) is just the value on the y axis in relationship with x (in short terms, the value on the y axis).

So looking at the graph, we cam see that when x = -1, f(x) = 2.

Identify the range of the function shown in the graph.

Answers

Answer:

D. 0≤y≤5

Step-by-step explanation:

The range refers to how far on the y axis a function exists on a graph. This function starts at y=0 and ends at y=5, meaning you can find a point on the function for any  y-level between 0 and 5. So y is greater than or equal to 0, and is less than or equal to 5.

A: A function with a range of all real numbers goes both up and down infinitely, however this function does not go up and down infinitely so we can rule out A.

B: If y>0, the function would start above y-level 0 and go up infinitely, however this graph does not display that so we can rule out B as well.

C: C is the domain of the graph, which is how far left and right the function exists.

Question 5 of 10
If f(x)=3x-2 and g(x)=x+1, find (f+g)(x).
OA. 4x²-1
OB. +3x+1
OC. +3x-1
OD. 2x+3

Answers

Answer: 4x-1

Step-by-step explanation:

[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=3x-2+x+1\\\\=\boxed{4x-1}[/tex]

2x - 15 ≤ 5 pls help

Answers

[tex]2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10[/tex]

Interval Notation: x ε ( -∞ , 10 ]

[tex]\Huge\boxed{x\leq10}[/tex]

To solve for [tex]x[/tex], you need to isolate it on one side of the equation.

Start by adding [tex]15[/tex] to both sides.

[tex]\begin{aligned}2x-15+15&\leq5+15\\2x&\leq20\end{aligned}[/tex]

Now, divide both sides by [tex]2[/tex] for the final answer.

[tex]\begin{aligned}\frac{2x}{2}&\leq\frac{20}{2}\\x&\leq10\end{aligned}[/tex]

Other Questions
Work out quickly will give brainiest Which of the following functions is graphed above Karl Marx and Friedrich Engels, authorsof the "Communist Manifesto," followedwhat ideology?A. conservatismC. capitalismB. utilitarianismD. socialism PRUEBA CORTA A. Qu estn haciendo todos?Escriba oraciones en el presente progresivo. OJO! Incluya los artculos definidos o indefinidos cuando sea necesario. {(3,-2), (4,-2),(5,-2), (6,-2)} is this a function REASON FOR REFERRALSystemic lupus erythematosus.HISTORY OF PRESENT ILLNESSPatient was told she had SLE in 1998.PAST HISTORYIllnesses: Lupoid hepatitis, 1998.Operations: Renal biopsy. Hepatic biopsy.REVIEW OF SYSTEMSHEENT: Conjunctivitis and iritis.Cardiorespiratory: Pleuritic chest pain.Gastrointestinal: Vague abdominal pain.Extremities: Edema.PHYSICAL EXAMINATIONGENERAL: The patient is a 50-year-old female with obvious pedal edema.CHEST: Heart: RRR. Lungs: Clear. Breasts: Normal.ABDOMEN: Hepatomegaly. No shifting dullness or fluid waves.EXTREMITIES: There was 3+ pitting edema in both lower extremities.DATABASESodium 135, potassium 4.6, calcium 7.6, phosphorus 2.7, total protein 4.5, albumin 1.9, BUN 25, creatinine 1.1, uric acid 5.2. Hemoglobin 13.6, hematocrit 42.1, sedimentation rate 35. WBCs 5,600 with 86 segs, 0 bands, 12 lymphs, MCV 93. The 24-hour urine protein is 10.57 gm, creatinine 828 mg. Q-panel: The 5-nucleotidase was elevated at 12.98, anti-DNA negative, anticentromere negative, anti-smooth muscle negative, ANA positive at 195, anticardiolipin antibody normal and mitochondrial antibody normal.ASSESSMENT1. Abnormal antinuclear antibody positive for lupus.2. Nephrosis.RECOMMENDATIONSNephrology consultation for evaluation of renal status.ICD-10-CM:ICD-10-CM: Select the two values of x that are roots of this equation. 2x2 + 7x + 6 = 0 Question 7 of 8Which of the following are equal to 25 miles per gallon? Check all that apply.A. 125 miles per 5 gallonsB. 525 miles per 15 gallonsC. 725 miles per 25 gallonsD. 625 miles per 25 gallonsE. 50 miles per 3 gallonsSUBMIT The collapse of the last chinese empire in 1912 was caused by the imperial governments failure to. If the two triangles are congruent, state how you know. If not, state "not congruent."1.AAS2.ASA3.SSS4.SAS5.not congruent Solve the proportion.2/3/4 = 10LOx = [?] A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the radius of the top of the can and let h be the height. The surface area of the cylinder, A , is A=2r2+2rh (two circles, one for the top and one for the bottom plus a rolled up rectangle for the sides). Part a: Assume that the height of your cylinder is 6 inches. Consider A as a function of r , so we can write that as A(r)=2r2+12r . What is the domain of A(r) ? In other words, for which values of r is A(r) defined?Part b: Continue to assume that the height of your cylinder is 6 inches. Write the radius r as a function of A . This is the inverse function to A(r) , i.e., to turn A as a function of r into r as a function of A .r(A)=Part c: If the surface area is 175 square inches, then what is the radius r ? In other words, evaluate r(175) . Round your answer to 2 decimal places.The radius is ? inches if the surface area is 175 square inches Identify the word with the most positive connotation:A. IntelligentB. Book-wormC. NerdyD. Greedy The safety margin is the difference between budgeted ______. Multiple choice question. sales revenue and break-even sales revenue sales and budgeted variable costs at the break-even point net income and break-even net income contribution margin and fixed costs at the break-even point Another name for hypothermia 1. Imagine that a community college student finds a $100 bill on the floor of a classroom. Realizing that someone may eventually claim the money, the (honest) student decides to deposit all the money in a bank account (and not hold any part of the currency). If the bank keeps 5 percent of its deposits in reserves (a reserve ratio of 5 percent or .05): a. How much of the initial deposit can the bank lend out? b. What is the (simple) money multiplier in this economy? c. What is the total amount of money created from the initial $100 deposit, including the initial deposit? 2. What are the goals of expansionary monetary policy and contractionary monetary policy? 3. What are the differences between demand-side policies and supply-side policies? 4. How do government deficits cause a crowding out of private investment? 5. What is an automatic stabilizer, and how might an automatic stabilizer slow an economic recovery? 6. Is monetary policy or fiscal policy the more effective short-term approach? Explain your answer. Solve 6(2)x = 384.will mark brainliest ! Mark Rothko intended his work to:A. be an experience.B. reproduce nature.C. explore consumer culture. D. represent dreams. If n is an integer and 2^n is a factor of 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9, what is the greatest possible value of n?A) 6B) 7C) 8D) 9 1. Create a program that determines and displays the number of unique characters in a string entered by a user. for example , Hello, World! has 10 unique characters while zzz has only 1 unique character. solve this problem