Will give brainliest to whoever answers correctly

Function 1 is defined by the following table.
Function 2 is defined by the line q.
Which function has a greater y-intercept?

Kruskal's method is a method of finding a minimum-cost spanning tree in a weighted graph. In a graph with vertices V and edges E, a minimum cost spanning tree is a subset of edges that connects all the vertices and has the minimum total weight. It is an algorithm that constructs a minimum spanning tree of a graph in a greedy way.

Here's how to solve the problem:

Step 1: Sort all edges in non-decreasing order of their weight.

Step 2: Choose the smallest edge. If it forms a cycle, discard it and choose the next smallest edge. Repeat until the spanning tree has V - 1 edges.

A) Lower Bound = 3 + 5 + 16 + 18 + 19 + 19 + 20 + 23 = 123

B) Upper Bound = 27 + 28 + 30 + 32 + 23 + 25 + 27 + 24 = 216

C) Minimum Spanning Tree = 2-3, 3-5, 3-18, 5-23, 18-19, 19-20, 20-24

D) Optimal Route Interval = 123-216E)

The optimal route interval is the range of possible values of the optimal solution to a problem. For the Travelling Salesman Problem, it is the range of possible values for the shortest possible tour that visits every city and returns to the starting city.

In this problem, the optimal route interval is 123-216, which means that the shortest possible tour that visits every city and returns to the starting city has a length between 123 and 216.

To know more about algorithm, refer here:

https://brainly.com/question/28724722

#SPJ11

Answer:

answer will come soon pls wait

Step-by-step explanation:

also try solving it by yourself

be independent

The correct option for the given vector is the third one:

If the initial point is (0, 0), then the component form of the vector is just equal to the terminal point of the vector.

Then we have:

u = (5, -8)

For a vector w = (x, y) the magnitude is:

\(||w|| = \sqrt{x^2 + y^2}\)

In this case, the magnitude will be:

\(||u|| = \sqrt{5^2 + (-8)^2} = \sqrt{89}\)

Then the correct option is the third one.

If you want to learn more about vectors:

https://brainly.com/question/3184914

#SPJ1

The probability that there will be exactly 2 accidents during the next

two weeks is 0.9828.

A Poisson distribution in statistics is a probability distribution that is used to demonstrate how frequently an event is expected to happen over a certain period of time. It is a count distribution, to put it another way. In order to comprehend separate events that happen at a steady pace throughout the course of a certain period of time, Poisson distributions are frequently utilized.

Using the Poisson distribution:

2 weeks ⇒ λ = 6.

P( X ≥ 2 ) = 1 – [ P( X = 0 ) + P( X = 1 ) ] = \(1-[\frac{6^{0}*e^{-6} }{0!} + \frac{6^{1}*e^{-6} }{1!}]\)

                                                             = 1-[0.0024+0.0148] = 0.9828

To know more about probability visit: brainly.com/question/11234923

#SPJ4  

The answer is option C: 7x + 5.

To find the cost of one order of popcorn and two sodas, we need to substitute the given expressions into the following formula:

Cost of one order of popcorn and two sodas = Cost of popcorn + Cost of two sodas

So, we have:

Cost of popcorn = 3x + 5

Cost of two sodas = 2x + 2x = 4x

Substituting these expressions into the formula, we get:

Cost of one order of popcorn and two sodas = (3x + 5) + 4x

Simplifying this expression, we get:

Cost of one order of popcorn and two sodas = 7x + 5

Therefore, the answer is option C: 7x + 5.

Answer:

Use the given functions to set up and simplify

[

3

,

4

]

Step-by-step explanation:

Answer:

Step-by-step explanation:

n = -14

(x^3)(x^−17) =

x^(3 - 17) =

x^-14

The required equation in a system of equations that has a solution (4, −1) is given as y = -1/4x.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let's assume that the equation passing through the origin and (4, -1)

The equation is given as,

(y₂ - y₁) /  (x₂ - x₁)

y - y₁ = (y₂ - y₁) /  (x₂ - x₁) (x - x₁)
y - 0 = -1 - 0 / 4 - 0 [x - 0]
y = -1/4x

Thus, the required other equation in a system of equations has a solution (4, −1) is given as y = -1/4x.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ1

Option (b) is the correct answer. To approximate \(f(0.8)\) using the Lagrange interpolating polynomial for the function \(f(x) = e^x \cos(x)\) with given data points \(x_0 = 0\), \(x_1 = 1\), and \(x_2 = \frac{\pi}{2}\), we can construct the interpolating polynomial and evaluate it at \(x = 0.8\).

The Lagrange interpolating polynomial is defined as:

\(P(x) = \sum_{i=0}^{n} f(x_i) \cdot L_i(x)\)

where \(L_i(x)\) is the Lagrange basis polynomial given by:

\(L_i(x) = \prod_{j \neq i} \frac{x - x_j}{x_i - x_j}\)

Using the given data points, we have:

\(x_0 = 0, \quad x_1 = 1, \quad x_2 = \frac{\pi}{2}\)

Evaluating \(L_i(x)\) for \(i = 0, 1, 2\) at \(x = 0.8\), we get:

\(L_0(0.8) \approx 0.7412\), \(L_1(0.8) \approx 0.1176\), \(L_2(0.8) \approx -0.8588\)

Now, substituting these values along with the corresponding function values into the Lagrange interpolating polynomial equation, we have:

\(P(0.8) \approx f(0) \cdot L_0(0.8) + f(1) \cdot L_1(0.8) + f\left(\frac{\pi}{2}\right) \cdot L_2(0.8)\)

Evaluating the function values:

\(f(0) = e^0 \cos(0) = 1\), \(f(1) = e^1 \cos(1) \approx 1.4031\), \(f\left(\frac{\pi}{2}\right) = e^{\frac{\pi}{2}} \cos\left(\frac{\pi}{2}\right) \approx 1.5708\)

Substituting these values into the equation, we get:

\(P(0.8) \approx 1 \cdot 0.7412 + 1.4031 \cdot 0.1176 + 1.5708 \cdot (-0.8588) \approx 1.6848\)

Therefore, the approximate value of \(f(0.8)\) using the Lagrange interpolating polynomial is approximately 1.6848. Hence, option (b) is the correct answer.

Learn more about Lagrange here:
brainly.com/question/31637769

#SPJ11

Answer:

Step-by-step explanation:

To convert 20 cm to meters, we divide by 100, because 1 meter = 100 centimeters.

So, 20 cm = 20/100 m = 0.2 m

To convert 0.2 m to meters in the lowest form, we divide by 15, because 1 meter = 15 units.

So, 0.2 m = 0.2/15 m = 0.013 m

So the final answer is 0.013 m.

The solution of (1/3x) -6 = -7 will be -1 / 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (1/3x) -6 = -7. The expression will be solved as below:-

(1/3x) -6 = -7

1 / 3x = -7 + 6

1 / 3x = -1

x = -1 / 3

Hence, the solution of the expression for the value of x will be -1 / 3.

To know more about an expression follow

https://brainly.com/question/25812462

#SPJ1

Answer: it’s 3t - 6

But here’s how I got that

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

thx

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

for such more question on medium

https://brainly.com/question/14532771

#SPJ8

Answer:

3 Pounds

Step-by-step explanation:

If 1 slice of pie = 8 ounces that means that 6 slices would be 48 ounces because of 6 slices * 8 ounces. Now we have to take the 48 ounces and divide them by 16 because 16 ounces = 1 pound. And in doing so, 6 slices would = 3 Pounds.

4÷16-31

0.25-31

-30.75

Step-by-step explanation:

there u go

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

Learn more about multiplying here:

https://brainly.com/question/30875464

#SPJ11

Answer:

10 in

Step-by-step explanation:

r^2= 314/3.14

r^2=100

r=10 in

hope i helped!

The survey can be carried out so that the sample is biased in favor of lifting the ban and focuses mostly on the benefits of skateboarding.

A survey is a technique for acquiring data from a sample of people by asking pertinent questions with the goal of comprehending populations as a whole. Everyone involved in the information economy, from corporations to the media to the government and academia, relies on surveys as a vital source of information and insights.

The person can conduct the survey so that the sample is biased toward overturning the ban to tell mostly the positive aspects of skateboarding.

Skateboarding is a lot of fun and releases stress.

It'll Teach You How to Fall Safely should help in riding motorcycles.

It is a great cardio workout and it is social.

learn more about surveys here :

https://brainly.com/question/17373064

#SPJ1

Answer:

a symbol, usually a letter, used to represent a number in mathematical expressions or sentences

Step-by-step explanation:

Hope it helps

Answer:

4) choice 2, "a symbol, usually ......."

5) choice 1, "one variable equals ...."

Step-by-step explanation:

a term is either a single number or variable, or the product of several numbers or variables.

The approximation to the solution of the initial value problem on the interval [0, 1] using the vectorized Euler method with h = 0.25 is y ≈ -0.34375 and y' ≈ -30.240234375.

To approximate the solution to the given initial value problem using the vectorized Euler method with h = 0.25, we need to iteratively compute the values of y and y' at each step.

We can represent the given second-order differential equation as a system of first-order differential equations by introducing a new variable, say z, such that z = y'. Then, the system becomes:

dy/dt = z

dz/dt = -tz - 4y

Using the vectorized Euler method, we can update the values of y and z as follows:

y[i+1] = y[i] + h * z[i]

z[i+1] = z[i] + h * (-t[i]z[i] - 4y[i])

Starting with the initial conditions y(0) = 5 and z(0) = 0, we can calculate the values of y and z at each step until we reach t = 1.

Here is the complete calculation:

t = 0, y = 5, z = 0

t = 0.25:

y[1] = y[0] + h * z[0] = 5 + 0.25 * 0 = 5

z[1] = z[0] + h * (-t[0]z[0] - 4y[0]) = 0 + 0.25 * (00 - 45) = -5

t = 0.5:

y[2] = y[1] + h * z[1] = 5 + 0.25 * (-5) = 4.75

z[2] = z[1] + h * (-t[1]z[1] - 4y[1]) = -5 + 0.25 * (-0.25*(-5)(-5) - 45) = -8.8125

t = 0.75:

y[3] = y[2] + h * z[2] = 4.75 + 0.25 * (-8.8125) = 2.84375

z[3] = z[2] + h * (-t[2]z[2] - 4y[2]) = -8.8125 + 0.25 * (-0.5*(-8.8125)(-8.8125) - 44.75) = -16.765625

t = 1:

y[4] = y[3] + h * z[3] = 2.84375 + 0.25 * (-16.765625) = -0.34375

z[4] = z[3] + h * (-t[3]z[3] - 4y[3]) = -16.765625 + 0.25 * (-0.75*(-16.765625)(-16.765625) - 42.84375) = -30.240234375

To learn more about euler method click on,

https://brainly.com/question/31402642

#SPJ4

Answer:

3 goes with 8 and 5 goes with 2

Step-by-step explanation:

I hope this helps!

In general, for smaller matrices and reasonable entries, the computational complexity of calculating a matrix power a^n is O(n^3), which is the same as computing the matrix power (p^-1ap)^n.

This is because computing a matrix power involves n-1 matrix multiplications, and each multiplication requires O(n^3) operations. Similarly, computing the power of a similarity-transformed matrix requires O(n^3) operations to compute the inverse and O(n^3) operations for each multiplication. Therefore, for smaller matrices and reasonable entries, the computational complexity of a^n and (p^-1ap)^n are the same, regardless of the value of n. However, for larger matrices or matrices with non-reasonable entries, the computational complexity may differ depending on the specific values of n and the matrix entries.

Learn more about complexity here

https://brainly.com/question/4667958

#SPJ11

The histogram showing the number of events with the events cost is

misleading because;

Please find attached a possible diagram of the histogram in the question

created with MS Excel;

The data in the histogram is presented as follows;

\(\begin{array}{|c|c|c}Event \ Cost&Number \ of \ Events\\1000- 1499&2\\1500-1999&4\\2000-2499&3\\3000-3499&1\end{array}\right]\)

From the above table, we have that the class with event cost of 2000 to

2499 is left out, therefore, the data is more clustered.

The correct option is therefore;

The x-axis scale shows the data is more clustered than it actually is

Learn more about histograms here:

https://brainly.com/question/1413492

Answer:

its a

Step-by-step explanation:

got it right on edge

Answer:

(x+5)/(2x+3)

Step-by-step explanation:

So we know the top part is difference of two squares. So thats (x+5)(x-5)

The bottom part

Firstly you do 2 times -15= -30

Now we need to find two numbers with a difference of 7 but multiply to give 30.

30

1 x 30

2 x 15

3 x 10

5 x 6

From here we can see 3-10=-7 and multiply to make -30

So we do 2x²-10x+3x-15

simplify this in two different parts: 2x²-10x and 3x-15

2x(x-5) and 3(x-5)

Therefore we get (2x+3)(x-5)

(x+5)(x-5)/(2x+3)(x-5)

x-5 is common so they cancel each other out leaving you with

(x+5)/(2x+3)

I hoped this helped :)

Answer:

$60000 According to my calculations

Answer:

Option (3)

Step-by-step explanation:

Since density on an element = \(\frac{\text{Mass}}{\text{Volume}}\)

Volume of the water in the aquarium = volume of the aquarium

                                                              = Length × width × height

                                                              = 10 × 5 × 5

                                                              = 250 cm³

We know density of the water = 1 gram per cm³

By putting these values in the formula,

1 = \(\frac{\text{Mass}}{250}\)

Mass = 250 g

Therefore, Option (3) will be the answer.

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

See explanation

Step-by-step explanation:

( unit 1 ) multiplied by ( unit 2 )

(5.9*10^12) multiplied by 8.9
52.51*10^12 or 5.251*10^13 or 52,510,000,000,000