Find the probability of obtaining (a) a 2, (b) any number, and (c) any number except 5 and 4 from a six-sided die after one roll. Three independent questions. In (b), "any number" means literally "any number" not "one specific number".

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

Answer:

D. Y = 200(1.18)^x

Step-by-step explanation:

The answer represents the correct exponential growth function. (1.18)^x represents the rate of change and 200 represents the starting value

Answer:

(- 5, 1 )

Step-by-step explanation:

- 6x - 14y = 16 → (1)

- 2x + 7y = 17 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term

6x - 21y = - 51 → (3)

Add (1) and (3) term by term to eliminate x

0 - 35y = - 35

- 35y = - 35 ( divide both sides by - 35 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

- 6x - 14(1) = 16

- 6x - 14 = 16 ( add 14 to both sides )

- 6x = 30 ( divide both sides by - 6 )

x = - 5

solution is (- 5, 1 )

The simplified form of the expression, - 4xy/ 3x is -4y/3 and the value of the expression given as xy/z when x = -2, y = -3 and z = 4 is three-halves

The expression is given as:

-4xy/3x

Next, we divide -4xy and 3x by 3.

This is represented as:

-4xy/3x = (-4xy/x)/(3x/x)

Evaluate the quotients

-4xy/3x = -4y/3

Hence, the simplified form of the expression, - 4xy/ 3x is -4y/3

The expression is given as:

xy/z

The values are given as:

x = -2, y = -3 and z = 4

Next, we substitute x = -2, y = -3 and z = 4 in the expression xy/z

So, we have:

xy/z = -2 * -3/4

Evaluate the products

xy/z = 6/4

Evaluate the quotients

xy/z = 3/2

This is represented as:

xy/z = three-halves

Hence, the value of the expression given as xy/z when x = -2, y = -3 and z = 4 is three-halves

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Answer:

\(d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }\)

Step-by-step explanation:

\(d = \sqrt{( - 4 + 3) {}^{2} + (7 - 9) {}^{2} } \)

\(d = \sqrt{(1 + 4)} = \sqrt{5} \)

Answer:

Hello! answer:

rectangle a: 8

rectangle b: 24

figure: 32

Step-by-step explanation:

Hello I'll show a demonstration, with a picture and explanation. Ok so as shown in the picture i circled the base and height those are basically what you have to multiply to find the area.

we are given the height for rectangle a but not the base so we have to find it we know the base at the bottom for the whole thing is 5 and the base for B is. 3 so we can just subtract 3 from 5 to find A's base so... 5 - 3 = 2

now we have everything we need to find the area so....

4 × 2 = 8 so rectangle a is 8

3 × 8 = 24 so rectangle b is 24

then for the whole figure we can just add those two up for the entire area so...

24 + 8 = 32 therefore the figures area is 32 Hope that helps!

Answer:

its $375.70

Step-by-step explanation:

i guessed and got it right. good luck guys. love u. remeber to eat n drink water and try to spend some time outside if you can! i know its hard rn but we can do it! im proud of u all

The value of Erica's approximate monthly payment is $375.70. The correct option is C .

Rate of Interest is the rate at which a loan is borrowed or the rate at which an investment gives return .

It is given that

Student Loan Total =  $29,158

Rate of Interest = 9.4 %

Time Period = 10 years

The monthly payment is given by

\(\rm \dfrac{F p(i) }{ ( 1 - ( 1 + i )^{-n})}\)

Substituting the values in the equation

\(\rm = \dfrac{29158* (0.094/12) }{ ( 1 - ( 1 + (0.094/12) )^{-12*10})}\)

= $ 375.70

Therefore,The value of Erica's approximate monthly payment is $375.70. The correct option is C.

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The most appropriate outcome for a patient with a nursing diagnosis of Constipation related to slowed gastrointestinal motility secondary to pain medications would be: a. Patient will have one soft, formed bowel movement by end of shift.

The outcome of "Patient will have one soft, formed bowel movement by the end of the shift" is the most appropriate for a patient with the nursing diagnosis of Constipation related to slowed gastrointestinal motility secondary to pain medications.

This outcome is specific and directly addresses the issue of constipation. It sets a clear goal for the patient to achieve a single bowel movement that is soft and formed, indicating improved bowel function. By specifying "by the end of the shift," it provides a time frame for assessing the outcome and allows for evaluation of the patient's progress.

The outcome focuses on the desired result, which is to alleviate constipation and improve gastrointestinal motility. It takes into consideration the impact of pain medications, which can contribute to slowed bowel movements. By aiming for a soft and formed bowel movement, it indicates the goal of promoting regular and healthy bowel function for the patient.

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Laplace transform of ecos(36) on the domain determined above will be s/(s^2+9).

[a, b] con(bit) + b sin(bit) + C dt is the given function of the integral, which is a cos(bit) + b sin(bit) + C. Let's solve these issues: A) Track down the worth of the ill-advised integral.∫[0, ∞] con(3t)e^-s^dt= lim a-> ∞ ∫[0, a] con(3t)e^-s^dt= lim a-> ∞[sin(3a)/(3+is)] - [sin(0)/(3+is)]= lim a-> ∞[sin(3a)/(3+is)] as sin(0)=0Now, we will settle the second piece of the inquiry. B)

Determine the Laplace transform of ecos(3t)? [0,] con(3t)e-sdt = lim a-> [sin(3a)/(3+is)] = |(sin(3a)/(3+is))| = |sin(3a)|/|3+is| |sin(3a)| C) Determine the Laplace transform of ecos(3t) based on the domain that was determined earlier. Ecos(36) will have a Laplace transform of s/(s2+9) on the domain that was previously determined because ecos(3t) has a Laplace transform of = s/(s2+9).

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Answer:

504 is the correct answer.

Step-by-step explanation:

using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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To derive the expression for the Marginal Utility (MU) of each good in the given utility functions, we need to take the partial derivatives of the utility functions with respect to each good. Let's calculate the MU for each good in the first three utility functions:

1. Utility function U1(x1,x2) = (x1 + 4x2)^2:

To find the MU of x1, we differentiate U1 with respect to x1 while treating x2 as a constant:
MU1(x1,x2) = 2(x1 + 4x2) * 1 = 2(x1 + 4x2)

To find the MU of x2, we differentiate U1 with respect to x2 while treating x1 as a constant:
MU2(x1,x2) = 2(x1 + 4x2) * 4 = 8(x1 + 4x2)

2. Utility function U2(x1,x2) = 5x1^3 * x2^4:

To find the MU of x1, we differentiate U2 with respect to x1 while treating x2 as a constant:
MU1(x1,x2) = 15x1^2 * x2^4

To find the MU of x2, we differentiate U2 with respect to x2 while treating x1 as a constant:
MU2(x1,x2) = 20x1^3 * x2^3

3. Utility function U3(x1,x2) = x1 * (x2 + 2):

To find the MU of x1, we differentiate U3 with respect to x1 while treating x2 as a constant:
MU1(x1,x2) = x2 + 2

To find the MU of x2, we differentiate U3 with respect to x2 while treating x1 as a constant:
MU2(x1,x2) = x1

Next, let's compute the Marginal Rate of Substitution (MRS) at the bundle (2,4) for each utility function. MRS measures the rate at which a consumer is willing to substitute one good for another while maintaining the same level of utility.

1. Utility function U1(x1,x2) = (x1 + 4x2)^2:

The MRS is given by the ratio of the marginal utilities:
MRS(x1,x2) = MU1(x1,x2) / MU2(x1,x2)

Substituting the values x1 = 2 and x2 = 4 into the expressions for MU1 and MU2 derived earlier, we get:
MRS(2,4) = [2(2 + 4(4))] / [8(2 + 4(4))]

Simplifying the expression, we have:
MRS(2,4) = 12 / 48 = 1/4

2. Utility function U2(x1,x2) = 5x1^3 * x2^4:

Similarly, the MRS is given by the ratio of the marginal utilities:
MRS(x1,x2) = MU1(x1,x2) / MU2(x1,x2)

Substituting the values x1 = 2 and x2 = 4 into the expressions for MU1 and MU2 derived earlier, we get:
MRS(2,4) = (15(2^2)(4^4)) / (20(2^3)(4^3))

Simplifying the expression, we have:
MRS(2,4) = 960 / 1280 = 3/4

3. Utility function U3(x1,x2) = x1 * (x2 + 2):

The MRS is given by the ratio of the marginal utilities:
MRS(x1,x2) = MU1(x1,x2) / MU2(x1,x2)

Substituting the values x1 = 2 and x2 = 4 into the expressions for MU1 and MU2 derived earlier, we get:
MRS(2,4) = (4 + 2) / 2 = 3/2

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Answer:

BC≈12.2

Step-by-step explanation:

As we know

24/sin(100°)=BC/sin(30°)

BC=sin(30°)×24/sin(100°)

BC=1/2×24/sin(100°)

BC=12/sin(100°)

BC=12.2 (approximately)

Answer:

BC≈12.2

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

View Highlighted Part in Picture!

Step-by-step explanation:

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The points (-10, 0) and (0, 5), on the path of the first boat that can be modeled by a quadratic function and the point (10, 4) on the path of the linear function modelling the second boat, indicates that besides the common starting location, the solution for the point at which the paths of the  boats cross again at (6, 3.2)

The solution to a system of equation is the value of the input variable at which the output of the equations in the system of equations are the same.

Location of the port = (-10, 0)

The vertex of the path of the first boat that can be modeled by a quadratic function = (0, 5)

Point through which the boat that follows a path that can be modeled as a linear function passes = (10, 4)

The vertex form of the equation of a parabola is; y = a·(x - h)² + k

Where;'

(h, k) = The coordinates of the vertex

(h, k) = (0, 5)

Therefore;

y = a·(x - 0)² + 5 = a·x² + 5

When x = -10, y = 0, therefore;

y = 0 = a·(-10)² + 5 = 100·a + 5

0 = 100·a + 5

a = -5/100 = -1/20

a = -0.05

The equation is therefore; y = -0.05·x² + 5

The slope of the straight line path of the other boat is; m = (4 - 0)/(10 - (-10)) = 1/5 = 0.2

The equation is therefore; y - 0 = 0.2·(x - (-10)) = 0.2·x + 2

y = 0.2·x + 2

The point where the two paths cross is therefore;

-0.05·x² + 5 = 0.2·x + 2

-0.05·x² - 0.2·x + 5 - 2

-0.05·x² - 0.2·x + 3 = 0

x = (0.2 ± √((-0.2)² - 4 × (-0.05) × 3))/(2×(-0.05))

Therefore;

x = -10 and x = 6

The x-coordinate of the point the two paths cross, besides the starting location is x = 6

Therefore;

y = 0.2 × 6 + 2 = 3.2

The point besides the common starting location, the paths of the boats cross is; (6, 3.2)

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Answer:

(–6, 3.2)

Step-by-step explanation:

The answer above is correct.

Step-by-step explanation:

a triangle,=180

so 68+35-180=77

then 77+68=145

Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.

To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.

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 the complete question is:

Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.

Answer:

p=7

Step-by-step explanation

both n and 4 are in both so p will have to be the same thing as 7 in order to be equal

The value of p that makes the expressions 4(n+7) and (n+p)4 equivalent is p = 7.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To make the expressions 4(n+7) and (n+p)4 equivalent, we need to distribute the 4 in the second expression, which gives us:

(n+p)4 = 4n + 4p

Now we can set this expression equal to 4(n+7) and solve for p:

4n + 4p = 4(n+7)

Simplifying both sides:

4n + 4p = 4n + 28

Subtracting 4n from both sides:

4p = 28

Dividing both sides by 4:

p = 7

Therefore,

The value of p that makes the expressions 4(n+7) and (n+p)4 equivalent is p = 7.

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For the two local companies KwikFix and MongoRama, the mean and median for the 10 employees salaries in MongoRama are equal to the $ 11.1 and $ 9.00 respectively. The mean and median for the 10 employees salaries in KwikFix are equal to the $ 4.7 and $ 10.50 respectively.

Mean is defined as average of values. It is calculated by dividing the sum of all data values to the number of total values. Formula is \(\bar X= \frac{\sum X_i }{n}\)

We have to deciding whether to get a job or to continue your education. There are two local companies named MongoRama and Kwik Fox. There are total number of employees MongoRama = nine employees

MongoRama pays nine employees $9.00 per hour each. Payment of one employee = $30.00 per hour. In case of Kwik Fox pays two employees $9. 00 per hour, five employees $10. 50 per hour, two employees $12. 00 per hour, and one employee $16. 50 per hour. So, the sum of salaries of 10 employees of MongoRama company = $9.00 × 9 + $30.00 = $111.00

So, mean of salaries = \(\frac{ 111}{10}\) = $11.1

Median of salaries = $9.00

Now, in case of local company KwikFix,

the sum of salaries of 10 employees of KwikFix company = $9.00 + $16. 50 + $10.50 + $12.00

= $47.00

So, mean of salaries= \(\frac{47}{10} \) = $ 4.7

Median is equal to $10.50

Hence, required value is $10.50.

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18 mm is the height of the cone.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

We can use the formula for the volume of a cone to solve for the height:

V = (1/3)πr²h

where V is the volume, r is the radius, and h is the height.

Substituting the given values, we have:

1884 = (1/3)π(10²)h

Simplifying, we get:

h = 1884 / [(1/3)π(10²)]

h ≈ 18

Therefore, the height of the cone is approximately 18 mm.

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Complete question:

the volume of this cone is 1,884 cubic millimeters. What is the height of this cone when the radius is 10 mm? Use 3.14 and round your answer to the nearest hundredth

factor 20 out of 20cx*3 =540y*3

so you get 20(cx*3=540y*3) if that is what you are looking for

To declare a variable named apple of the class named "apple" and initialize it to a new object, we can use the following statement in most programming languages:

apple apple = new apple();

Here, the first "apple" is the class name, and the second "apple" is the name of the variable we are declaring. The "new" keyword is used to create a new object of the class, and the parentheses indicate that no parameters are being passed to the constructor.

This statement creates a new instance of the class named "apple" and assigns it to the variable also named "apple". The variable can now be used to access the properties and methods of the object, allowing us to manipulate and work with the data stored within it.
```java
Apple apple = new Apple();
```

This statement creates a new instance of the "Apple" class and assigns it to the variable "apple." The "new" keyword is used to create a new object, and "Apple()" calls the constructor for the class.

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Answer:

the answer is the 2nd one

Step-by-step explanation:

Answer:

z = -166

Step-by-step explanation:

1. Subtract 3 from both sides to get z/2 = -83

2. Multiply 2 by both sides to get z = -166

z = -166

Answer:

the z= -80 because you already have the answer 2+3=5 but you have to add 5 to something to get 80 so the correct answer is 5+75

Answer:

inconsistent reasoning; saving $20 is saving $20.

Step-by-step explanation:

When we buy something for $ 50 we save $ 20 which is

20/50 * 100= 2/5* 100= 0.4*100= 40 %

When we buy something for $ 500 and save $ 20 it means that we are saving

20/500 * 100= 2/50* 100= 0.04*100= 4 %

Now if we compare 40 % to 4 % we can ourselves see that there is a difference of 36 % which is large enough to drop out the high priced items.

There is inconsistent reasoning for discount pricing.

So it is  inconsistent reasoning;   that only $ 20 can be saved on all items no matter what the prices are .

The offer is beneficial for only good for low priced items.

Vertex is slang for a corner or a place where two lines converge.The four corners of a square, for instance, are each referred to as a vertex.

The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of f(x) = (x-1)²then the function g(x) = 2(x+4)²

f(x) =x²-2x+1 The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of  .f(x) =x²-2x+1

Rewrite the given function f(x).

f(x) =  (x-1)²

Now, the graph is stretched vertically by a factor of 2.

= 2(-x-1)²

reflect the graph about the y-axis.

2(x+1)²

move to the left by 3 units.

= 2(x+3+1)²

=2(x+4)²

The function g(x) =2(x+4)²

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Input quantity: Time t in years since it was planted

Output quantity: Height h in feet of the tree.

Input variable: time t

Output variable: height h.

Ordered pairs are represented as (t, h).

Use function notation to illustrate the relationship between h and t.

h = f(t) where f is a function of time t.

The notation h(20) = 60 means that when the tree is 20 years old, its height is 60 feet. It means that after 20 years of planting the tree, its height is 60 feet.

The input quantity is time, the output quantity is height, the input variable is t, and the output variable is h. The relationship between height and time can be expressed as a function h = f(t).

Finally, the function notation h(20) = 60 means that the tree's height is 60 feet after 20 years.

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We use the quadratic formula to find the roots of the quadratic equation.

The quadratic equation is given below:

f(x) = a\(x^{2}\) + bx + c = 0 where a, b, c

The system of equations used to find roots of equation is y = 12\(x^{3}\)-5x and y=2\(x^{2}\)+x+6.The given equation will be,12\(x^{3}\)-5x=2\(x^{2}\) + x + 6.

Now we take the root of equation into two parts:

1. Left-hand side

2. Right-hand side

Equation no.1 : 12\(x^{3}\)-5x=0

Equation no.2: 2\(x^{2}\)+x+6=0

Now we contains system of equation 0 with y.

So, the equation will be:

12\(x^{3}\)-5x=y

2\(x^{2}\)+x+6=y

However,system of equations can be used to find the roots of the equation 12\(x^{3}\)-5x=2\(x^{2}\)+x+6 is:
y = 12\(x^{3}\)-5x and y = 2\(x^{2}\)+x+6

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