100PTS PLEASE GIVE EXPLANATION
(I really need help please)

2x + 6y= 12

X + 3y= 6


In solving the system of equations shown above, Sean showed the following steps:

Step 1: x = 6 – 3y

Step 2: 2(6-3y) + 6y = 12

Step 3: 12 – 6y + 6y = 12

Step 4: 12 = 12


Sean’s work is correct. However, there are no variables in Sean’s final step. What can he state as the solution of the system?

The probability that there will be only genes with Allele A at a future point is approximately 0.21.

Hence, the correct option is 6.

Step 1. The probability that there will be only genes with Allele A at a future point can be determined using the Moran Model. In this model, at each step, a gene is randomly chosen to reproduce and replace another gene.

Step 2. Given that there are initially 15 genes with Allele A and a total of 70 genes, we can calculate the probability of all genes having Allele A in the future using the following formula:

P(all A) = (number of A genes in the initial population) / (total number of genes)

P(all A) = 15 / 70 = 3 / 14 = 0.21

Step 3. Therefore, the probability that there will be only genes with Allele A at a future point is approximately 0.21.

Hence, the correct option is 6.

To know more about probability here

https://brainly.com/question/31828911

#SPJ4

The unit of the right-hand side of the equation is s⁰ * s⁻¹ = s⁻¹.The SI unit of the quantity f is s⁻¹.

Given that the motion y(x, t) of a vibrating system is described by

                                     y(x, t) = A0e^(-πt) sin((2πx/λ)−2πft).

Denoting units with fractions using the "/" operator and units with products using the "*" operator, numbers.

We are given that

                                          y(x, t) = A0e^(-πt) sin((2πx/λ)−2πft)where x denotes a distance in meters and t denotes a time in seconds.

The SI unit for time t is the second (s).We need to find the unit of the quantity f, given that the formula is

                                        y(x, t) = A0e^(-πt) sin((2πx/λ)−2πft)

Comparing the argument of sin in the above equation,(2πx/λ) − 2πft

The unit of the first term is m/m = 1The unit of the second term is s⁻¹ * s = s⁻¹

Therefore, the unit of the argument of sin is s⁻¹.

Now, sin(x) is a dimensionless quantity.

Hence, the unit of A₀e^(-πt) is s⁰ or 1.

Therefore, the unit of the right-hand side of the equation is s⁰ * s⁻¹ = s⁻¹.The SI unit of the quantity f is s⁻¹.

Learn more about equation

brainly.com/question/14686792

#SPJ11

Answer:

60%

Step-by-step explanation:

i dont know how to give an explanation on this, my teacher just said the other day in class that 780 is 60% of 1300.

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ12

The graphics tool used to help determine whether a process is in control or out of control is a. control chart.

A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.

The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.

To know more about graphics visit:-

https://brainly.com/question/20566728

#SPJ11

(a) value of reaction is Qp = (43)^2 (23)/(675)^2Qp = 0.000444 (b) Thus the mixture is not at equilibrium.(c)  the reverse reaction is not favored and the forward reaction is favored.(d) Therefore, at equilibrium; P(NOCI) = (675 - 2x) = 648.6 torr P(NO) = (43 + x) = 56.2 torr P(Cl2) = (23 + x) = 36.2 torr.

a. Value of the reaction quotient Qp is given by the formula Qp= [NO]2 [Cl2]/ [NOCI]2Substituting the given values, we have; Qp = (43)^2 (23)/(675)^2Qp = 0.000444

b. To determine whether the mixture is at equilibrium or not, we compare the reaction quotient Qp with the equilibrium constant Kp. Qp < Kp implies that the reaction will proceed in the forward direction, whereas, Qp > Kp implies that the reaction will proceed in the reverse direction.

Qp < Kp, hence the reaction will proceed in the forward direction. Thus the mixture is not at equilibrium.

c. The reaction will move in the forward direction to reach equilibrium. This is because Qp is less than Kp, which means that the reverse reaction is not favored and the forward reaction is favored.

d. When the system reaches equilibrium, the partial pressures of the components in the system can be calculated using the formula; Kp = [NO]2 [Cl2]/ [NOCI]2Given that the equilibrium constant Kp is 0.60, the partial pressure of NOCI is 675 torr, and the reaction is exothermic, it follows that the partial pressure of NO will be higher and that of chlorine will be lower at equilibrium.

The equilibrium concentrations are given as;[NO]2 [Cl2]/ [NOCI]2 = 0.60Let x be the extent of the reaction, then (675 - 2x) will be the concentration of NOCI and (43 + x) will be the concentration of NO. Therefore, concentration of Cl2 is (23 + x).Substituting in the expression for Kp, we have;(43 + x)2 (23 + x)/ (675 - 2x)2 = 0.60Solving this equation gives x = 13.2 torr.

Therefore, at equilibrium; P(NOCI) = (675 - 2x) = 648.6 torr P(NO) = (43 + x) = 56.2 torr P(Cl2) = (23 + x) = 36.2 torr.

Learn more about quotient here:

https://brainly.com/question/16134410

#SPJ11

Answer:

-5

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The sum of the infinite geometric series –288 –216 –144 –72 is -1152.

The sum of an infinite number of terms having a constant ratio between successive terms is called as infinite geometric series.

Given series, -288, -216, -144, -72, ...

The sum of the infinite geometric series can be calculated as:

Sum = \(\dfrac{a}{1 -r}\)

Here, 'a' is the first term of the series and 'r' is the common ratio.

a = -288

The common difference can be calculated as:

r = \(\dfrac{(-216)}{(-288)}\)

= \(\dfrac{3}{4}\)

Substitute the values in the sum formula:

Sum = \(\dfrac{-288}{1 - \dfrac{3}{4}}\)

It can be simplified as:

Sum =  -288 \(\times\) 4

             = -1152

So, the sum of the infinite geometric series is -1152.

Learn more about geometric series here:

https://brainly.com/question/30264021

#SPJ12

Answer:

false the |-| mean the absolute value thus it would = the same

Answer: False

Step-by-step explanation:

This is absolute value. The absolute value of -3 is 3 because lets say you have a number line, how far is -3 to 0 ? Its 3 . Your answer would be that its equal.

Answer:

For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.

Step-by-step explanation:

Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.

The given equation is a first order linear differential equation which has the general solution
y(t) = c1e4t + c2e-t + 3t2/2

To find the particular solution for the given equation, we need to use the initial condition given in the question. When t=0, the given initial condition is y(0) = 0
Substituting this value in the general solution, we get
0 = c1 + c2 + 0
Hence, c1 = -c2
Substituting this in the general solution, the particular solution becomes
y(t) = -c2(e4t + e-t) + 3t2/2

This is the particular solution for the given equation. To find the value of c2, we can use the initial condition given in the question. When t=0, the given initial condition is y(0) = 0
Substituting this value in the particular solution, we get
0 = -c2(e0 + e0) + 0
Hence, c2 = 0

Substituting the value of c2 in the particular solution, we get the required solution as
y(t) = 3t2/2

To know more about differential equation refer here:

https://brainly.com/question/14620493

#SPJ11

Answer:

4 : 7

Step-by-step explanation:

family : car = 2400 : 4200

Simplify by dividing both by 100 ⇒ 24 : 42

Simplify again by dividing both by 6 ⇒ 4 : 7

Cannot be further simplified as 7 is a prime number

Answer:

Option 3

Step-by-step explanation:

The curve goes infinitely downwards, so y is infinitely negative while x is limited at the y axis, or x=0 which is the asymptote.

Answer:

You mean GCF right?

LCM: 720

GCF:6

Step-by-step explanation:

Andrea arrived 5 minutes past 11:00 am, or at 11:05 am. Adding the 8 minutes indicated on her card, we get 11:13 am as the time Andrea arrived.

Let x be the number of minutes past 11:00 am that Andrea arrived. Then, Zach arrived (x + 15) minutes past 11:00 am. Two minutes ago (i.e., at 11:28 am), Andrea had been waiting for (28 - x) minutes, and Zach had been waiting for (13 + x) minutes. Three minutes from now (i.e., at 11:33 am), Andrea will have been waiting for (33 - x) minutes, and Zach will have been waiting for (18 + x) minutes. Since Andrea and Zach have waited for the same amount of time, we can set up the equation:

Solving for x, we get:

2x = 10

x = 5

Therefore, Andrea arrived 5 minutes past 11:00 am, or at 11:05 am. Adding the 8 minutes indicated on her card, we get 11:13 am as the time Andrea arrived.

Learn more about Time and Speed:

https://brainly.com/question/31033546
#SPJ4

Answer:

it will take 8 minutes

Step-by-step explanation:

Here, we want to

calculate the amount of time taken to fill the tank given the total amount of water in the tank.

Mathematically, the formula go

use is ;

w= 100 + 55t

540 = 100 + 55t

55t = 540-100

55t = 440

t = 440/55

t = 8

Answer:

35.60

Step-by-step explanation:

Multiply the original price $89 times the mark down percentage 60%

You get 53.40, then subtract it from 89.

Answer:

She paid $35.60 for the jacket.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(12+10+x)/3=15

15*3=12+10+x

45-12-20=x

X=23

In a 1000g sample, 250g will be left undecayed and still radioactive after 11,400 years.

The amount of time needed for a quantity (of substance) to decrease to half of its initial value is known as the half-life (symbol t12). In nuclear physics, the phrase is frequently used to indicate how rapidly unstable atoms decay radioactively or how long stable atoms last. The phrase is also used more broadly to describe any kind of exponential decay (or, very infrequently, nonexponential decay). The biological half-life of medications and other compounds in the human body, for instance, is a term used in the medical sciences. Half-opposite of life's exponential growth is time's doubling.

Carbon-14 has a half-life of approximately 5700 years, which means that after 5700 years, half of the original amount of Carbon-14 will remain undecayed and still radioactive. After 11,400 years, there will be 1/4 of the original amount remaining, because two half-lives have passed. So, in a 1000g sample, 250g will be left undecayed and still radioactive after 11,400 years.

To know more about half-life visit:

https://brainly.com/question/24710827?referrer=searchResults

#SPJ4

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

Visit here to learn more about Inflection point:

brainly.com/question/30763521

#SPJ11

Answer: A triangular prism has a base of a rectangle as shown in this picture.

Step-by-step explanation: If your having trouble recognizing prisms here's a tip. All prisms have a rectangular base. :)

Answer:

1 : 2

Step-by-step explanation:

Answer:

1 for 2, 1:2, or 1/2

Hope this helps, and good luck!

The probability that a salesperson selected at random will have an excellent potential for advancement given they have above average sales ability is 0.3.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution. Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. Information about the possibility that something will happen is provided by probability. For instance, meteorologists utilize weather patterns to forecast the likelihood of rain. Probability theory is used in epidemiology to comprehend the connection between exposures and the risk of health effects.

To know more about probability,

https://brainly.com/question/11234923

#SPJ4

Answer:

Step-by-step explanation:

The cup has 33.(66)% more liters than the jar.

The cup has more water than the jar.

The cup has 11/30 more liters of water than the jar.

To build \( 5 X^{\prime} \) s, we would need a total of 60 units of \( Y \).

To find out how many units of \( Y \) are needed to build \( 5 X^{\prime} \) s, we need to break down the composition of \( X \) and \( Z \) in terms of \( Y \).
Given that \( X \) is made up of 2 units of \( Y \) and 3 units of \( Z \), and \( Z \) is made up of 4 units of \( Y \), we can calculate the total number of units of \( Y \) needed to build \( 5 X^{\prime} \) s.
To do this, we can break it down into steps:
1. Determine the number of units of \( Z \) needed to build \( 5 X^{\prime} \) s:
  - Each \( X \) requires 3 units of \( Z \).
  - So, for \( 5 X^{\prime} \) s, we need \( 5 \times 3 = 15 \) units of \( Z \).

2. Determine the number of units of \( Y \) needed to build \( 15 \) units of \( Z \):
  - Each \( Z \) requires 4 units of \( Y \).
  - So, for \( 15 \) units of \( Z \), we need \( 15 \times 4 = 60 \) units of \( Y \).
Therefore, to build \( 5 X^{\prime} \) s, we would need a total of 60 units of \( Y \).
In summary, to build \( 5 X^{\prime} \) s, we need 60 units of \( Y \).

To know more about units refer to:

https://brainly.com/question/31331693

#SPJ11

Answer:

y=5

Step-by-step explanation:

The curve stops at the y value of 6. And we need a horizontal line for the asymptote, so we don't need an x value only a y-value. So the y-value is 5 on the y-axis, which means your equation will be y=5.

-Hope this helped

The correct answer include the following: A) The given value is a parameter for the week because the data collected represent a population.

In Statistics and Mathematics, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study.

In this context, we can reasonably infer and logically deduce that the amount of voltage that was supplied to this homeowner's home represent a parameter for the week since the data collected represents a population.

Read more on population here: brainly.com/question/267132

#SPJ4

Complete Question:

A homeowner measured the voltage supplied to his home on all 7 days of a given week​, and the average​ (mean) value is 120.6 volts.

Choose the correct answer below.

A) The given value is a parameter for the week because the data collected represent a population.

B) The given value is a statistic for the week because the data collected represent a sample

C) The given value is a statistic for the week because the data collected represent a population.

D)The given value is a parameter for the week because the data collected represent a sample.