Given a directed graph as depicted in Figure Q6. Figure Q6 (a) List the ordered pairs of the relation, R. (b) Give the matrix of the relation, MR. (c) Give the in-degree and out-degree of each vertex.

Answer:

V=128

Step-by-step explanation:

Answer:

V =128ft^3

Step-by-step explanation:

V=lwh=4*4*8=128

Answer:

  about -0.79 mg/hour

Step-by-step explanation:

You want the rate of change of the amount of medication in a patient after 4 hours if the amount after t hours is modeled by y=88/(1+e^(t+0.7)).

The rate of change is found by taking the derivative of the function with respect to time. Let u = 1+e^(t+0.7). Then du/dt = e^(t +0.7).

The function can be written ...

  y = 88/u = 88·u^-1

so its derivative is ...

  dy/dt = (-88·u^-2)·du/dt

  dy/dt = -88(e^(t +0.7))/(1 +e^(t +0.7))^2

The value of the rate of change at t=4 is ...

  dy/dt = -88(e^(4 +0.7))/(1 +e^(4 +0.7))^2 ≈ -88(109.95)/(1 +109.95)^2

  dy/dt ≈ -0.78602 ≈ -0.79 . . . . . . mg/h

The rate of change in the amount of medication is about -0.79 mg/h.

Answer:

$25.99

Step-by-step explanation:

Answer:

subtract 4 then multiply -3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Totals to 77 minutes after 9:00 am.

answer:

c. just after 10:30 am

explanation:

add 15 + 15

30

+ 8 x 4

30

add 10

30 + 32 + 10 = 72 minutes

plus 5 min with coach

78 minutes

which is just past 10:00 am and to be exact it is 10:18 am

then it takes 15 minutes to get home

so milo gets home just after 10:30 am!

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Answer:

20

Step-by-step explanation:

She will be 10 in 5 years witch means she is 5

Double five you get 10

10 + 10 = 20

Answer:

the answer is B.) 20 years old

Step-by-step explanation:

if in 5 years melissa is 10, then right now she is 5 years old. since laura is twice as old as melissa, then laura is currently 10 years old. and if Kim is 10 years older then laura, then Kim is 20 years old

Tl;Dr:

10-5=5

5x2=10

10+10=20

Answer:

First choice

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

When moving in opposite directions from the same point the speeds add up.

Total speed:

Distance is 300 km, find the time.

Answer:

Time = 3 hours

Step-by-step explanation:

The total speed is,

→ 40 km/h + 60 km/h

→ 100 km/h

Formula we use,

→ v = d/t

Then the time taken will be,

→ v = d/t

→ 100 = 300/t

→ 100 × t = 300

→ t = 300/100

→ [ t = 3 ]

Hence, answer is 3 hours.

the magnitude of the sum of the three vectors V1, V2, and V3 is approximately 6.3.

To find the magnitude of the sum of the three vectors V1, V2, and V3, we first need to find the sum of the individual components of the vectors and then calculate the magnitude of the resulting vector.

Given:

V1 = 7.0i - 8.0j

V2 = i + j

V3 = -2.0i + 5.0j

To find the sum of the vectors, we add their corresponding components:

\(V_sum = V1 + V2 + V3\)

      = (7.0i - 8.0j) + (i + j) + (-2.0i + 5.0j)

      = 6.0i - 2.0j

Now, let's calculate the magnitude of the sum vector, V_sum:

\(|V_sum| = \sqrt{((6.0)^2 + (-2.0)^2)\)

      \(= \sqrt{(36.0 + 4.0)\)

       \(= \sqrt{(40.0)\)

       ≈ 6.3 (rounded to two significant figures)

Therefore, the magnitude of the sum of the three vectors V1, V2, and V3 is approximately 6.3.

To know more about magnitude

https://brainly.com/question/17157624

#SPJ11

Answer:

x = 28

Step-by-step explanation:

21/\(x\) = 6/8

cross multiply:             21 x 8 = 6 x \(x\)

Combine like terms:         168 = 6\(x\)

Divide both sides by 6:      28 = \(x\)

Answer:

x=28

Step-by-step explanation:

21/x = 6/8

21/x = 3/4

84=3x

3x/84

x=28

(a) Expected utility is calculated as the weighted average of the utilities of all possible outcomes.

According to the problem, Sam's utility function is u(100) = 1 and u(200) = 2.

The lottery L1 = ( £100, w.p. 0.6; £200, w.p. 0.4 ) has two outcomes with the probabilities of 0.6 and 0.4.

Therefore, the expected utility of the lottery L1 is:

Expected utility of L1 = 0.6 × u(100) + 0.4 × u(200)= 0.6 × 1 + 0.4 × 2= 1.4

Since Sam is willing to pay at most £120 for the lottery L1, this indicates that the expected utility of L1 is worth £120 to Sam. Thus:1.4 = u(£120)

Since we know u(100) = 1 and u(200) = 2, we can linearly interpolate to find u(£120):

u(£120) = u(100) + [(120 - 100)/(200 - 100)] × (u(200) - u(100))= 1 + [(120 - 100)/(200 - 100)] × (2 - 1)= 1.3

Therefore, the expected utility of the lottery L2 = ( £100, w.p. 0.6; £120, w.p. 0.4 ) is:

Expected utility of L2 = 0.6 × u(100) + 0.4 × u(£120)= 0.6 × 1 + 0.4 × 1.3= 0.78

So, Sam's expected utility for the lottery L2 is 0.78

.(b) The risk preferences of Sam can be determined by comparing the utility of the lottery L1 and the sure outcome that gives the same expected value as the lottery L1.

The expected value of the lottery L1 is:Expected value of L1 = 0.6 × £100 + 0.4 × £200= £140

Therefore, Sam needs to be indifferent between the lottery L1 and the sure outcome of receiving £140. Since the expected utility of L1 is 1.4, Sam's utility for receiving £140 must also be 1.4.

This can be represented as:u(£140) = 1.4From part (a), we know that u(£120) = 1.3.

Therefore, the difference between the two utility values is:u(£140) - u(£120) = 1.4 - 1.3= 0.1

The difference in utility is positive but not enough to reflect risk-loving behavior. Therefore, Sam is risk-averse.

Learn more about probability at

https://brainly.com/question/32570020

#SPJ11

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

The number of significant figures is:

c. 3

The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number. 6.658, for instance, has four significant digits.

To determine the number of significant figures in the result of a sum, we need to consider the least number of significant figures present in the numbers being added.

In the given sum, we have 8.5201 and 1.93.

The number 8.5201 has five significant figures, and the number 1.93 has three significant figures.

When we add these two numbers, the result is 10.4501.

Since 1.93 has three significant figures, the result of the sum should also have three significant figures.

Therefore, the number of significant figures is:

c. 3

Learn more about significant figures on:

https://brainly.com/question/11566364

#SPJ4

Answer:

Step-by-step explanation:\(\sqrt{72} = \sqrt{36*2} = 6\sqrt{2}\)

answer is 6 for a

Answer: z = 1.6

Step-by-step explanation:

1.8 = 3z -3

3z = 4.8

z = 4.8/3 = 1.6

A) The function x² - 6xy + y² is homogeneous.

B) The function x² + 4y - y² is not homogeneous.

C) The function sqrt(7x⁴ + 8xy³) is homogeneous

To determine if each of the given functions is homogeneous, we need to check if they satisfy the property of homogeneity, which states that each term in the function must have the same total degree.

A) The function f(x, y) = x² - 6xy + y²

Degree of the term x² = 2,

Degree of the term -6xy = 2,

Degree of the term y^2 = 2.

function A is homogeneous.

B) The function f(x, y) = x² + 4y - y²:

Degree of the term x² = 2,

Degree of the term 4y = 1,

Degree of the term -y² = 2.

function B is not homogeneous.

C) The function f(x, y) = √(7x⁴ + 8xy³)

Degree of the term 7x⁴ = 2,

Degree of the term 8xy³ = 1/2 + 3/2 = 2

function C is homogeneous.

Learn more about homogenous functions at

https://brainly.com/question/31990879

#SPJ4

Answer:

\(4n-n^2\)

Step-by-step explanation:

I use 'n' as the unknown value, but you can use any letter you want as the variable.

The product of four and a number would be represented by '4 * n'. The ideal way to write this would be '4n', even though '4 * n' is also correct in value.

The square of the number would be n². Squaring a number is multiplying a number by itself.

The phrase 'difference between...' means subtraction.

Putting it together:

"The difference between the product of 4 and a number and the square of the number" would be:

\(4n-n^2\)

Hope this helps.

Answer:

196

Step-by-step explanation:

If the suit is marked down by 30% that means you must pay

100-30 or 70%

280 * 70%

280 *.7

196

Answer:

To solve the problem using unit rates, we can first find Lila's rate of phone calls per minute, which is given by:

rate = number of phone calls / time spent on the phone

Using the values given in the problem, we get:

rate = 24 phone calls / 72 minutes

rate = 1/3 phone calls per minute

This means that Lila routes 1/3 phone call per minute.

To find how many phone calls Lila needs to route to spend a total of 90 minutes on the phone, we can use the same rate and the formula:

number of phone calls = rate x time

Substituting the values, we get:

number of phone calls = (1/3 phone calls per minute) x (90 minutes)

number of phone calls = 30 phone calls

Therefore, Lila needs to route a total of 30 phone calls to spend a total of 90 minutes on the phone.

Answer:

aprox. 5537.84

Step-by-step explanation:

Answer:

The total number of students at Milton Middle School is 240

I have some questions i need help with on my profile :)

Answer:

The total number of students in Milton Middle School is 240.

Answer:

Its called an Unknown number, a variable, and a letter.

Step-by-step explanation:

Top 2 answers came from algebra and then last came from preschool....obviously.

Answer:

120

Step-by-step explanation:

My choices are: 1, 3, 5, 7, 9.  I cannot repeat any of the numbers.

The first spot, I have 5 choices.  The second spot, I have 4 choices, the third spot, I have 3 choices and the final spot has only 2 choices.

5x4x3x2 = 60

Answer:

result is 35

Step-by-step explanation:

Answer:

Step-by-step explanation:

a: 2

b: 4

c: 3

d: 4

e: 6

To solve the differential equation 2yy' + 1 = y^2x, we can use separation of variables.

First, we can rearrange the equation to get:

2yy' = y^2x - 1

Next, we can divide both sides by y^2x - 1 to get:

(2y)/(y^2x - 1) dy/dx = 1

We can now integrate both sides with respect to x and y, respectively:

∫(2y)/(y^2x - 1) dy = ∫1 dx

For the left-hand side, we can use substitution by letting u = y^2x - 1, which means du/dy = 2yx.

Substituting this into the integral gives:

(1/2)∫du/u = (1/2)ln|y^2x - 1| + C1

For the right-hand side, we can integrate with respect to x:

∫1 dx = x + C2

Combining the two integrals gives:

(1/2)ln|y^2x - 1| + C1 = x + C2

We can simplify this to:

ln|y^2x - 1| = 2x + C

where C = 2C2 - C1.

Finally, we can exponentiate both sides to get rid of the natural logarithm:

|y^2x - 1| = e^(2x+C)

Since the absolute value of y^2x - 1 can be either positive or negative, we need to consider both cases:

y^2x - 1 = e^(2x+C) or y^2x - 1 = -e^(2x+C)

Solving for y in each case gives:

y = ±sqrt((e^(2x+C) + 1)/x)

Therefore, the general solution to the differential equation 2yy' + 1 = y^2x is:

y = ±sqrt((e^(2x+C) + 1)/x)

where C is a constant of integration.
Hello! To solve the given differential equation 2yy' = y^2x, you can follow these steps:

1. Divide both sides by y^2 to isolate y':

  y' = (x/2) * (1/y)

2. Now, we have a separable equation, so we can separate the variables by multiplying both sides by y:

  y dy = (x/2) dx

3. Integrate both sides with respect to their respective variables:

  ∫y dy = ∫(x/2) dx

  (1/2)y^2 = (1/4)x^2 + C₁

4. To solve for y, multiply both sides by 2:

  y^2 = (1/2)x^2 + 2C₁

5. Take the square root of both sides:

  y = ±√[(1/2)x^2 + 2C₁]

This is the general solution of the given differential equation, where C₁ is an arbitrary constant.

Visit here to learn more about arbitrary constant brainly.com/question/29093928

#SPJ11

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

To learn about stochastic process here:

https://brainly.com/question/32574493

#SPJ11