What's the possible values of z when t = 81
( be it real or complex number )

[tex] {z}^{2} = \sqrt{t} [/tex]
​​
So annoying ~

Answers

Answer 1

Answer:

[tex]\boxed{\mathrm{z=\pm 3}}[/tex]

Step-by-step explanation:

[tex]\mathrm{z^2=\sqrt{t}, \; when, \; t=81}[/tex]

Substitute t with 81:-

[tex]\mathrm{z^2=\sqrt{81}}[/tex]

Since 9*9 =81, square of 81 is 9:-

[tex]\mathrm{z^2=9}[/tex]

Take the square root of both sides.

[tex]\mathrm{z=\pm \sqrt{9} }[/tex]

and since 3*3 = 9 the square root of 9 will be 3.:-

[tex]\mathrm{z=\pm 3}[/tex]

_____________________

Hope this helps!


Related Questions

If one dose of elixir is 6 mL, how many doses are there in 500 mL?

Answers

Answer:

83 There is an elixir

total quantity of elixir = 500 mL

quantity of elixir use in one dose = 6 mL

number of dose in 500 mL = 500/6

83.333

Find a quadratic equation with integer coefficients that has the given solution set.

{-10, 9}

Answers

The quadratic equation with integer coefficients that has the given solution set {-10, 9} is x² + x - 90 = 0.

What is a polynomial?

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

If the given solution set is {-10, 9}.

Then the quadratic equation can be written in factored form as:

(x + 10) (x - 9) = 0

Expanding the product,

x² + x - 90 = 0

Therefore,

The quadratic equation with integer coefficients that has the given solution set {-10, 9} is x² + x - 90 = 0.

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(15x²+x²+7)-(6x² - 2x³)-7x²

Answers

Answer:

= 3x² + 7 +2x³.

Step-by-step explanation:

Here is my solution to my answer.

Part B
Question
To calculate the hourly revenue from the buffet after x $1 increases, multiply the price paid by each customer and the
average number of customers per hour. Create : inequality in standard form that represents the restaurant owner's
desired revenue.
Type the correct answer in each box. Use numerals instead of words.

Answers

The inequality in standard form that represents the restaurant owner's

desired revenue is x² + 2x - 80 ≤ -65.

What are Inequalities?

Inequalities are defined as the expressions consisting of both variables and constants connected by inequality signs like ≠, >, <, ≤ and ≥.

Part A :

Cost : 10 + x

Customers : 16 - 2x

Part B :

Given that,

Hourly revenue = Price paid by each customer × average number of customers per hour.

Price paid by each customer = 10 + x

Average customers per hour = 16 - 2x

Given that the restaurant owner wants a minimum revenue of $130 per hour.

(10 + x) (16 - 2x) ≥ 130

(10 × 16) + (16x) - (10 × 2x) - 2x² ≥ 130

160 + 16x - 20x - 2x² ≥ 130

-2x² - 4x + 160 ≥ 130

Dividing the equation throughout by -2,

x² + 2x - 80 ≤ -65

The inequality sign changes as we multiply or divide with a negative number.

Hence the required inequality is x² + 2x - 80 ≤ -65.

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The complete question is given below.

Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.

Part A

Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that the x represents the number of $1 increases in the cost of buffet.

Part B

To calculate the hourly revenue from the buffet after x $1 increases, multiply the price paid by each customer and the average number of customers per hour. Create inequality in standard form that represents the restaurant owner's desired revenue.

How do you find a percentile of normal distribution (probability, probability theory, probability distributions, normal distribution, math)?

Answers

To find the percentile of a normal distribution, first determine the mean, then convert the interested value to a standard score, look-up the normal distribution table to find the area to the left of the normal score. Finally, multiply the area by 100.

Steps to find the percentile of a normal distributionDetermine the mean (μ) and standard deviation (σ) of the normal distribution.Convert the value you are interested in (i.e., the score) to a standard score (z-score) using the formula:

             z = (x - μ) / σ

        where x is the value of interest.

Look up the z-score in a standard normal distribution table to find the area (probability) to the left of the z-score.Multiply the area by 100 to get the percentile.

For example, suppose you want to find the percentile of a test score of 85, which comes from a normal distribution with a mean of 75 and a standard deviation of 10.

The mean (μ) is 75 and the standard deviation (σ) is 10.The z-score for a test score of 85 is:

            z = (85 - 75) / 10 = 1

Using a standard normal distribution table, we can find that the area to the left of a z-score of 1 is 0.8413.To find the percentile, we multiply the area by 100:

           0.8413 * 100 = 84.13

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Identify the function of the figure below this is trigonometry by the way

Answers

The graph shown is the graph of the cotangent function.

What is the graph of Cotangent?

The graph of the cotangent function, cot(x), is a periodic function that has a period of 2π. The cotangent function is the reciprocal of the tangent function, so its graph is related to the graph of the tangent function.

Like the tangent function, the cotangent function has singularities at x = (n + 1/2)π where n is an integer. At these points, the function has a vertical asymptote, meaning it approaches positive and negative infinity as x approaches (n + 1/2)π from either side.

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create a file lab2.py and define three classes, polygon, rectangle, triangle (see next page for a visual representation)

Answers

Lab2.py is a Python script that creates and manipulates three custom classes. The classes are as follows:

1. Person: This class stores information about a person, such as their name and age.

2. Student: This class inherits from the Person class and adds additional information, such as the student's major and GPA.

3. Instructor: This class also inherits from the Person class and adds additional information, such as the instructor's department and course load.

A file lab2.py and define three classes, polygon, rectangle, triangle is:

class Polygon:

 def __init__(self, number_of_sides):

   self.number_of_sides = number_of_sides

class Rectangle(Polygon):

 def __init__(self, length, width):

   Polygon.__init__(self, 4)

   self.length = length

   self.width = width

 def area(self):

   return self.length * self.width

class Triangle(Polygon):

 def __init__(self, base, height):

   Polygon.__init__(self, 3)

   self.base = base

   self.height = height

 def area(self):

   return 0.5 * self.base * self.height

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A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.

How many fluid ounces of milk were used during the class?

Responses

10 fl oz
10 fl oz

23 fl oz
23 fl oz

49 fl oz
49 fl oz

101 fl oz

Answers

Answer:

311 fl oz only were used, that is what I got for your answer..

The answer is 49 fl oz

Let t
be the time in weeks. At time t=0
, organic waste is dumped into a pond. The oxygen level in the pond at time t
is given by

f(t)=t2−t+1t2+1
.

Assume f(0)=1
is the normal level of oxygen.
(a) On a separate piece of paper, graph this function.

(b) What will happen to the oxygen level in the lake as time goes on?

The oxygen level will eventually return to its normal level in the long-run.

(c) Approximately how many weeks must pass before the oxygen level returns to 75
% of its normal level?
weeks (Round to at least two decimal places.)

Answers

The graph is plotted and attached

The oxygen level will be increasing as time goes on

In 0.5 weeks the oxygen level will return to 75% of its normal level

What will happen to the oxygen level in the lake as time goes on?

This is the end behavior of the graph, of the function f(t) = t^2 − t + 1, the graph shows that as t tends to infinity. the oxygen level will continue to increase.

The graph is plotted and attached

From the problem. the normal level of oxygen is at f(0) = 1

75% of 1 = 0.75

From the graph, the oxygen level will return to normal level in 1 week(1, 1) and at 0.5 the oxygen level is 0.75, (0.5,0.75). This is the vertex of the graph.

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A line passes through point (-6, 1)and has a slope of 3. Write an equation in Ax+By=Cform for this line. CO Use integers for A, B, and C.​

Answers

An equation in Ax + By=C form for this line include the following: -3x + y = 19.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

m represents the slope.x and y represents the data points.

At data point (-6, 1), a linear equation of this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (1) = 3(x - (-6))

y - 1 = 3x + 18

y = 3x + 18 + 1

y = 3x + 19

In standard form, we have:

-3x + y = 19.

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A group of friends’ dinner bill is $82.95 They want to leave a 15% tip. What is their total dinner bill, including tip?

Answers

The total dinner cost, including the tip, comes at $92.40.

What is the percentage of a number explained?The definition of percentage is "out of 100." In mathematics, percentages are used to represent parts of a whole, much as fractions and decimals.A sum is considered to be made up of 100 equal parts when expressed as a percentage. Use the symbol% to denote percentages in numbers.

A lunch for a few friends will set you back $82.95

They want to leave a 15% tip.

So,

Amount of tip:

15 % of 82.95 = 15*82.95 / 100

15 % of 82.95 = 12.4425

Total cost =  82.95 + 12.4425

Total cost =  95.3925

Total cost =  $92.40

Thus, the total dinner cost, including the tip, comes at $92.40.

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What is the volume of this right cone?

O 40 cm³
O 300 cm³
O 400 cm³
O 480 cm³

15.6 cm
12 cm
10 cm

Answers

The volume of the right cone is (c) 400π cm cube

How to determine the volume of the cone

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

Radius = 10 cm

Height = 12 cm

The volume of the cone is calculated as

Volume = 1/3πr²h

Substitute the known values in the above equation, so, we have the following representation

Volume = 1/3π * 10² * 12

Evaluate

Volume = 400π

Hence, the volume is 400π cm cube

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1. Which of the following is not a variable cost?
A. wages paid to labor
B. seeds and fertilizers for paddy farmers
C. rent on land
D. electricity bills

Answers

Answer:

b

Step-by-step explanation:

b seeds snd fertilizer

a hotel is looking over its occupancy, the number of rooms sold, over the course of the last 20 days. the data are provided below. use excel and the quartile.inc function to construct a box and whisker plot for the dataset. what is the interquartile range? round your answer to two decimal places. hotel occupancy 131 135 139 124 124 121 124 135 124 helpcopy to clipboarddownload csv provide your answer below:

Answers

The interquartile range is 16.00

To construct a box and whisker plot in Excel using the Quartile.INC function for the given data, follow these steps:

1) Enter the data into a column in Excel.

2) Select the data column and click on the "Insert" tab in the top menu.

3) Click on "Insert Statistic Chart" and select "Box and Whisker" from the dropdown menu.

4) In the "Chart Elements" menu on the right, click on the arrow next to "Axis Titles" and select "Primary Vertical Axis Title" to add a title for the y-axis.

5) Label the y-axis "Number of Rooms Sold".

6) Right-click on the y-axis and select "Format Axis" from the dropdown menu.

7) In the "Number" menu, select "Number" as the category and set the number of decimal places to 0.

8) In the "Chart Elements" menu, click on the arrow next to "Chart Title" and select "None" to remove the chart title.

9) The resulting box and whisker plot should show the quartiles, the median, and any outliers.

To find the interquartile range, subtract the first quartile (Q1) from the third quartile (Q3). The Quartile.INC function in Excel returns the exclusive quartiles (i.e., does not include the median in either quartile), so the interquartile range is calculated as:

IQR = Q3 - Q1

Using the Quartile.INC function with the given data, we get:

Q1 = 78.5

Q3 = 94.5

Therefore, the interquartile range is

IQR = Q3 - Q1 = 94.5 - 78.5 = 16

Rounding to two decimal places, the interquartile range is 16.00.

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What can be combined with 2x2? Select
all that apply.

Answers

Answer:

its only -11x^2

Step-by-step explanation:

2x^2 and -11x^2 have the same variable.

commutative property of (32)-5+7?

Answers

Answer:

= 34

Step-by-step explanation:

(32)-5+7

32 - 5 + 7

= 32 + 2

= 34.

f(x) = -3x + 2 f(7) =

Answers

The value of the function is -19.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -3x + 2

Substitute x = 7.

f(7) = -3 x 7 + 2

f(7) = -21 + 2

f(-7) = -19

Thus,

-19 is the value.

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Stacy says there is not enough information to prove that ACXBCX. Explain why​ Stacy's statement is incorrect.

Answers

Stacy's statement is incorrect because Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.

Reflexive Property of Congruence:

An angle, line segment, or shape is always congruent to itself, according to the reflexive characteristic of congruence in geometry.Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence. Together with the two given angle congruencies, we can conclude that  by ASA.

Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.

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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Answers

The value of the equation is 4.19p = -6.1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2.3p - 10.1 = 6.5p - 4 - 0.01p

On simplifying , we get

Adding 4 on both sides , we get

2.3p - 6.1p = 6.49p

Subtracting 2.3p on both sides , we get

4.19p = -6.1

Now , the value of the equation similar to 4.19p = -6.1 is 2.3p - 6.1p = 6.49p

Hence , the equation is 4.19p = -6.1

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question shown below

Answers

The equation of the graphed line can be found to be 2x + 2 y = 4

How to find the equation of the line ?

To find the equation of the line, you first need to find the slope which requires picking two points on the line. ( 4, 0 ) and ( 0, 2 )

The slope is:

= Change in y / Change in x

= ( 0 - 2 ) / ( 4 - 0 )

= - 2 / 4

= - 1 / 2

The equation form is:

y = mx + b

m = slope

b = y - intercept which is shown on the line as 2

The equation is:

y = - 1 / 2 x + 2

To put it in the form on the question,

( y = - 1 / 2 x + 2 ) x 2

2 y = - 2 x + 4

2x + 2 y = 4

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If △ EFG ∼ △ ABC

, What value of x will make the two triangles similar?

Answers

Answer:

the value of x will be 9 they all are similar so we will just take ratios and do cross multiplication

Which of the following are like terms?

Select 3 correct answer(s)
Question 1 options:

3x2 & 3x4


3x4 & 2x4


3y2 & 3x2


2x2 & 3x2


x2 & y2


2x & 3x


4x2 & 4x

Answers

The like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

What is like terms?

Terms whose variables (such as x or y) with any exponents (such as the 2 in x²) are the same are called like terms,

Examples: 7x and 2x are like terms because they are both "x".

Given are some pairs of expressions, we are asked to identify which are like terms,

We know that, according to the definition of the like terms,

Like terms are those terms which contain the same variable which is raised to the same power,

Therefore, the expressions showing the like terms are,

3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

Because, they have same variable with same powers.

Hence, the like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

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he auditors for a health insurance company are reviewing the bills from client's stays at hospitals from last year. the length of stay in days for hospital visits from 20 randomly sampled bills is provided below. use excel and the quartile.inc function to construct a box and whisker plot for the dataset. what is the value of the third quartile? round your answer to two decimal places. hospital length of stay (days) 7 6 7 6 7 8 3 2 6 provide your answer below:

Answers

The value of the third quartile is approximately 7.00, rounding it up to two decimal places.

In order to construct a box and whisker plot using Excel and the QUARTILE.INC function we will follow the steps -

Enter the data into a column in Excel.Select the column of data.Click on the "Insert" tab and select "Insert Statistic Chart."Choose "Box and Whisker" from the chart types.The box and whisker plot will be displayed.

Using the given data, the third quartile (Q3) can be found using the QUARTILE.INC function in Excel as follows -

Enter the data into a column in Excel.Use the formula =QUARTILE.INC(data, 3) to find the third quartile (Q3).

Using this method, rounding the result to two decimal places we get,

Q3 = QUARTILE.INC({7, 6, 7, 6, 7, 8, 3, 2, 6}, 3)

Q3 ≈ 7.00 (rounded to two decimal places)

Therefore, the value of the third quartile is approximately 7.00.

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A car tire company is testing a new tire that has proposed improved performance in wet conditions. An experiment was performed on a closed, half-mile track in wet conditions with the same car and driver. Two trials were performed with standard and new Wet Condition tires. What would the tire company MOST LIKELY infer based on this data?
Responses
A There is no hypothesis provided.There is no hypothesis provided.
B The hypothesis was neither verified or refuted.The hypothesis was neither verified or refuted.
C The hypothesis of the company is refuted.The hypothesis of the company is refuted.
D The hypothesis of the company is verified.

Answers

Answer:

B

Step-by-step explanation:

Based on the information provided, it is not possible to determine the hypothesis of the tire company. Therefore, options C and D can be eliminated.

Option A suggests that no hypothesis was provided, which may be possible. However, it is implied that the hypothesis was related to the proposed improved performance in wet conditions of the new tire. Therefore, option A may not be the best answer.

Option B suggests that the hypothesis was neither verified nor refuted. This is a common outcome in many experiments, and it is possible that the tire company may draw this conclusion based on the data. Therefore, option B is the most likely answer.

So, the tire company MOST LIKELY would infer that the hypothesis was neither verified nor refuted based on this data.

Solve the inequalities

Answers

Answer:

m ≥ 6

Step-by-step explanation:

The question asks us to solve the following inequality:

[tex]8m - 8 \geq 40[/tex].

To solve it, we need to make m the subject of the inequality:

[tex]8m - 8 \geq 40[/tex]

⇒ [tex]8m - 8 + 8 \geq 40 + 8[/tex]          [Adding 8 to both sides of inequality]

⇒ [tex]8m \geq 48[/tex]

⇒ [tex]\frac{8}{8}m \geq \frac{48}{8}[/tex]              [Dividing both sides of inequality by 8]

⇒ [tex]m \geq \bf 6[/tex]

Therefore, the solution to the inequality is m ≥ 6.

a cyclist is riding their bicycle on flat terrain at a speed of 22 miles per hour. the wheels on the bike have a diameter of 26 inches.

Answers

The angular speed in radians per minute of the cyclist riding a bike with wheels of diameter 26 inches at a speed of 22 miles per hour is approximately 1124.65 radians per minute.

The formula for the angular speed is:

angular speed = linear speed / radius

where the radius is half the diameter of the wheel. We need to convert the units to be consistent, so let's convert the speed from miles per hour to inches per minute and the diameter from inches to feet:

22 miles per hour = 22 * 5280 feet per hour / 60 minutes per hour

                              ≈ 2437.3 inches per minute

26 inches = 26/12 feet = 2.1667 feet

Now we can calculate the angular speed:

angular speed = 2437.3 / 2.1667 ≈ 1124.65 radians per minute

Your question is incomplete, most likely it was:

A cyclist is riding their bicycle on flat terrain at a speed of 22 miles per hour. the wheels on the bike have a diameter of 26 inches.

Find the angular speed in radians per minute.

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Craig forgot to record the amount of the check he wrote to the hardware store. The statement from his bank shows an ending balance
of $521.60. What is the amount of the check Craig wrote to the hardware store? Define a variable for the unknown quantity. Write and
solve an equation to answer the question.

Answers

Answer: Let's call the amount of the check Craig wrote to the hardware store "x".

According to the problem, the statement from Craig's bank shows an ending balance of $521.60. This means that his balance before writing the check was $521.60 + x.

So, we can write the equation:

$521.60 + x = $521.60

Subtracting $521.60 from both sides:

x = 0

This means that Craig's check was for $0.

Step-by-step explanation:

Identifying a Graph from an Equation
Which graph represents a function with amplitude 4 and period pi?

Answers

The graph of the function f(x) = 4sin(2x) is illustrated in the image.

What are periodic functions?

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

We know sin(x) is a periodic function with amplitude 1 and a period of 2π.

Therefore, A periodic function with amplitude 4 and period π would be,

f(x) = 4sin(2x).

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The area of this triangle is 64.8 km². Find the height h.
18 km is the base.
The height of the triangle is?

Answers

Answer: 16.2 km

Step-by-step explanation:

The height of the triangle can be found using the area formula for triangles:

Area = (1/2) × base × height

Rearranging the formula to solve for the height gives:

height = (2 × Area) / base

In this case, the area of the triangle is 64.8 km² and the base is given as 8 km. So, the height of the triangle can be calculated as:

height = (2 × 64.8 km²) / 8 km

height = 16.2 km

Answer:

7.2 km

Step-by-step explanation:

the formula for the area of a triangle is 1/2*b*h where b is its base and h is its height. now let's solve for the height

64.8=1/2*18h

64.8=9h

64.8/9=h

7.2 km=h

Cual es la mitad de 183

Answers

183/2 = 91.5

183/2 = 91.5
Your answer is 91.5
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A nurse is caring for a client who has named a person to serve as his health care proxy. The client states he needs clarification about his type of advance directive. Which of the following statements by the client indicates a need for clarification?"I have to choose a family member as my health proxy" Which lab procedure is the best to use to determine whether a newly discovered single-celled organism is prokaryotic or eukaryotic? Answer these five questions from the triangle ABC 1. ~ ABC=2. AB/AD=BC/?3. 3/9=x/?4. x=5. scale factor of ADE to ABCPlease give full answers David is a brand new help desk technician. To perform his job, he needs to be able to install programs and printers, but should not have full access to change everything on a Windows workstation. Which of the following types of user accounts should David be given to perform his job as a help desk technician?Options are :a. Remote Desktop Userb. Guestc. Power Userd. Administrator Select the correct answers from the list.(1 point) : :: stay : leaveUnite means the opposite of . Stay means the opposite of leave. options for first drop down-divide, or together- 2nd drop down- unit, or move The charged objects represented by the gray circles below all have identical masses, but different charges. Which will make it to the finish line first, assuming they are all released from rest at the same time? The black arrows represent a uniform electric field. A. AB. BC. CD. There will be a tie for first place E. None will reach the finish line What is the purpose of random assignment in an experiment? Jacob sells custom-made promotional products to businesses through his website. He is happy with his current customer base, as most of his business is repeat and referral. He gets very few walk-ins or visits from customers and ships all products directly to them.Which describes the best location for Jacob's business?Responsesa location in a busy strip malla lower-cost, less visible locationa higher-cost, more visible locationa location in a quiet area Read the following selection from the section "What Are The Main Arguments Supporting Zoos?""Humans have kept wild animals in captivity since ancient times, and that isn't going to change, they say. If animals are going to be kept, a well-managedzoo is the best place for them."What is the MAIN purpose of this pro-zoo argument?A to appeal to the reader's sense of logic and practicalityB to appeal to the reader's sense of concrete moral principlesC to appeal to the reader's sense of emotionality and empathyD to appeal to the reader's sense of connection with history1 2 3 4 Finish Active resistance should be the immediate response to an active shooter incident. (Antiterrorism Scenario Training, Page 4) ? True or False Richer countries tend to regulate business activity ________, whereas poorer countries tend to regulate business activity ________.a. unpredictably; predictablyb. without cause; as warrantedc. more; lessd. less; more choose all that apply. ccd cameras are better astronomical detectors than the human eye because What was the main function of tRNA? where was the aztec empire located In Problems 37 through 42, determine by inspection at least one solution of the given differential equation. That is, use your knowledge of derivatives to make an intelligent guess. Then test your hypothesis. 37. y" = 0 38. y' = y 39. xy' + y = 3x2 40. (y')2 + y2 = 1 41. y' + y = ex 42. y" + y = 0Previous question aarons mother has multiple sclerosis. one of the features of this disease is the slowing down of nerve impulses. what part of the neuron could be affected by ms? 8 ft. 3 ft. is what in geometry complete the function getplayerscores to return only player 1's scores. for example, playeronescores A game is played in which a card is randomly drawn from a well-shuffled standard deck of 52 cards. The card is recorded and then returned to the deck. Another card is drawn and the process is repeated 10 times. Let K =the number of kings observed in the 10 trials. Note that there are four kings in a standard deck of 52 cards.A. Calculate and interpret the mean of K. b. Calculate and interpret the standard deviation of K.B. Calculate and interpret the standard deviation of KC. What is the probability of getting more than 4 kings?D. Compute P(K 3).E. As described, this setting is binomial. Describe a setting using a well-shuffled standard deck of 52 cards that would not be binomial. Briefly explain your reasoning. Consider the market for chicken.Assume the demand for chicken can be represented by the following equation:????dc= ???? + ????Pc +???????? + ????Pb,where ????dc= quantity demanded of chicken, Pc = price of chicken, ???? = per capitaincome for consumers, Pb = price of beef, and ????, ????, ???? and ???? are constants.A) Draw a supply-demand model. Correctly label the axes and curves, and identify the equilibrium price and quantity.B)Start with the equilibrium depicted in part (a). Now suppose buyers incomes rise due to economic growth in the United States. Graphically illustrate the effect of the income change on the market for chicken. Show the shift(s) in demand and/or supply and the impact on the equilibrium price and quantity. (Hint: you may need to make an assumption).C)Start with the equilibrium depicted in part (a). Now suppose the price of beef decreases. Graphically illustrate the effect of the change in the price of beef on the market for chicken. Show the shift(s) in demand and/or supply and the impact on the equilibrium price and quantity. (Hint: you may need to make an assumption).D) Start with the equilibrium depicted in part (a). Now suppose Tyson Inc., a well-known processed chicken producer, successfully lobbies to provide consumers with a subsidy to purchase chicken. Show graphically how the subsidy affects the market for chicken. Show the shift(s) in demand and/or supply and the impact on the equilibrium price and quantity. In general, what is the rational for a subsidy?E)Start with the equilibrium depicted in part (a). Now suppose the price of chicken feed decreases. What effect would this have on the market for chicken? Graphically illustrate the effect of the change in the price of chicken feed on the market for chicken. Show the shift(s) in demand and/or supply and the impact on the equilibrium price and quantity.