Evaluate 6(-3) -1-51+131=
O 16
-10
-20

Answer:

n = 2

Step-by-step explanation:

4-2 = 2n

\(\frac{2n}{4} =2\)

4 x 2 =  8

2 x 2 = 4

8 - 4 = 4

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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Answer:

30 meters per second

Step-by-step explanation:

Step 1:

600 ÷ 20 = 30

Answer:

30 meters per second

Hope This Helps :)

Answer:

30 m /s

Step-by-step explanation:

We are looking for the speed

d/t = speed

600m / 20 second

30 m /s

Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16

Answer:

When solving, you will get a false statement, and therefore there is no solution.

Step-by-step explanation:

Let's try to solve the system of equations. In this case, I used the substitution method and substituted 4x + 5 for the y in y = 4x-2:

\(4x + 5 = 4x - 2\\5 = -2\)

In trying to combine the terms with the variable x, the 4x on both sides canceled themselves out, leaving me with 5 = -2. That is a false statement, as 5 does not equal -2. Therefore, since we cannot reach a solution, there is none.

two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no  intersection point.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given wo lines are y = 4x+5 and y = 4x – 2

These two lines are parallel because there slope is 4 for both.

Let us solve these two equations algebraically to find out intersection point.

4x+5=4x-2

5=-2

Since 4x is cancelled on both sides and has no x variable means there is no intersection point.

Hence for two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no  intersection point.

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The sum of a positive number and a negative number is always positive.

So:

Let:

a = arbitrary number where a>0

b = another arbitrary number where b<0

According to the conjecture:

a + b > 0

However, this isn't true because:

For example:

a = 2 ; 2>0

b = -8 ; -8 < 0

2 + (-8) > 0

2 - 8 > 0

-6 > 0 ------> This is false, therefore the conjecture is false

Answer:

Mr. Reed still needs to run 7 5/12 miles to reach his Step-by-step explanation:

2 3/4 and 2 1/3 need to be converted to a common denominator of 12:

2 9/12 and 2 4/12

Then we need to convert the original 12 1/2:

12 6/12

Add the miles he's already run:

2 9/12 + 2 4/12 = 5 1/12

Subtract the total amount run from the total goal:

12 6/12 - 5 1/12 = 7 5/12

Therefore, he still needs to run 7 5/12 miles to meet his total 12 1/2 (or 12 6/12) miles goal.

Answer:

6

Step-by-step explanation:

Answer:

j = \(\frac{h-2}{4}\)

Step-by-step explanation:

Given

4j + 2 = h ( subtract 2 from both sides )

4j = h - 2 ( isolate j by dividing both sides by 4 )

j = \(\frac{h-2}{4}\)

Answer:

\(x=7,\\y=6\)

Step-by-step explanation:

The segment \(UV\)consists of \(UZ\) and \(VZ\). Therefore, we can write the following equation:

\(3y-5+2y+2=27,\\5y-3=27,\\5y=30,\\y=\fbox{$6$}\).

Since \(UV\) bisects \(TW\), \(TZ\cong WZ\).

Therefore,

\(3x+3=3y+6,\\3x+3=3(6)+6,\\3x+3=18+6,\\3x+3=24,\\3x=21,\\x=\fbox{$7$}\)

Answer:

2.45

Step-by-step explanati

Answer:

h = 8 inches

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

given A = 24 and b = 6 , then

\(\frac{1}{2}\) × 6 × h = 24 , that is

3h = 24 ( divide both sides by 3 )

h = 8 inches

The total capital raised from selling 10 investment units at $100,000 per unit with a preferred return of 7% and a 70%/30% split would be $1,000,000.

To calculate the total capital raised, we need to consider the number of units sold, the price per unit, and the preferred return.

Given that 10 investment units were sold at $100,000 per unit, the total value of the units sold would be 10 units * $100,000 = $1,000,000.

The preferred return of 7% indicates that the investors will receive a fixed return of 7% on their investment before any profit sharing occurs. However, for the purpose of calculating the total capital raised, we do not deduct the preferred return from the total value of the units sold.

The 70%/30% split suggests that after the preferred return is paid, the remaining profits will be split between the owner and the investors in a 70%/30% ratio. This split does not affect the calculation of the total capital raised.

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The major benefit of enterprise application integration (EAI) is that it allows different applications and systems within an organization to seamlessly communicate and share data.

This integration eliminates data silos and enables real-time data exchange, leading to improved efficiency, productivity, and decision-making within the organization.

By implementing EAI, businesses can achieve the following benefits:

1. Enhanced Data Accuracy and Consistency: EAI ensures that data is synchronized and consistent across different systems, eliminating the need for manual data entry and reducing the risk of errors or discrepancies.

2. Increased Efficiency and Productivity: EAI automates the flow of information between applications, reducing the need for manual intervention and streamlining business processes.

This leads to improved efficiency and productivity as employees spend less time on repetitive tasks.

3. Improved Decision-Making: EAI provides a unified view of data from various systems, enabling better analysis and decision-making. Decision-makers have access to real-time and accurate information, allowing them to make informed and timely decisions.

4. Cost Savings: By integrating existing applications instead of developing new ones from scratch, EAI can help businesses save costs. It reduces the need for duplicate systems, minimizes data duplication, and optimizes IT infrastructure.

5. Scalability and Flexibility: EAI allows organizations to easily integrate new applications or systems as their needs evolve. It provides a flexible framework that can accommodate future growth and changes in business requirements.

Overall, the major benefit of enterprise application integration is the ability to achieve seamless connectivity and data exchange between systems, leading to improved efficiency, productivity, and decision-making in an organization.

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Answer:

A

Step-by-step explanation:

When 5 goldfish were added, the cost increased by $1.50, so we can divide 150/5 to find the increase of cost from one goldfish which is 30 cents.

\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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Using diagonals from a common vertex of a 14-gon, a total of 11 triangles can be formed.

To see why, we can apply the formula for the number of triangles formed by drawing all the diagonals from a single vertex of a polygon, which is (number of sides - 2). For a 14-gon, the formula gives us:

number of triangles = (14 - 2) = 12

However, we need to subtract one from the total because the vertex where the diagonals are drawn from is not included in any of the triangles. Therefore, the number of triangles formed by drawing diagonals from a common vertex of a 14-gon is:

number of triangles = 12 - 1 = 11

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Answer: 14-2=12

Step-by-step explanation:

The number of new cases of a disorder in a population that emerge in a particular time interval is called the incidence.

Incidence refers to the rate at which a new event occurs in a population. Incidence takes into account the variable time period during which a disease-free individual becomes at risk of spreading the disease.

In incident calculations, the quantifier is the number of events that have occurred in a given time. Then the quantifier of the denominator is the population that is at risk of experiencing the event during this period.

Simply put, incidence refers to new cases and is used to determine the etiology of the disease. While prevalence is more widely used to refer to health status in certain populations.

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The turning point of a parabola, also called the vertex, is the point on the parabola where the graph changes from increasing to decreasing, or from decreasing to increasing.

What is parabola?

A parabola may be a formed plane curve wherever any point is at an equal distance from a fixed point (known because the focus) and from a fixed line that is known because the directrix.

Main BODY:

When a graph is rising from left to right, we say that it is increasing. When a graph is falling from left to right, we say that it is decreasing. The points at which this trend changes in a graph are called the turning points of the graph. Since a parabola has the shape of a U or an upside down U, it has exactly one turning point, which we can identify using the following facts:

Hence ,The turning point of a parabola is called the vertex.

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Answer: 18

Step-by-step explanation:

Answer:

7.2 hours slept

Step-by-step explanation:

30%>.30

.30*24=7.2 hours

Hope this will help!

Step-by-step explanation:

4x + 8 + x - 2 - 3x

= 2x + 6

= 2(5) + 6

= 16.

Answer:

4*5 + 8 + 5 - 2 - 3*5 = 20 + 8 + 5 - 2 - 15 = 28 + 5 - 2 - 15 = 33 - 2 - 15 = 31 - 15 = 16

(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-

(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.

(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K

Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.

Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.

(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.

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When triangle KLM is dilated with a scale factor of 0.75  the image K'L'M' will have sides reduced by the factor 0.75

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor.

The scale factor determines magnification or shrinking as follow

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

Hence for the triangle KLM, with a scale factor of 0.75, the sides will shrink by 0.75 = 3/4

Resulting to a smaller image K'L'M'

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Answer:

Step-by-step explanation:

Here's a graph of a line with a negative slope:

| /

| /

| /

| /

|/

------->

The line descends from left to right.

To draw the slope triangles, we can choose any two points on the line and draw a triangle with one vertex at each point. Let's choose the points (0, 4) and (3, 0):

| /

| /

| / T1

| /

|/

----/-------

/|

/ |

/ |

/ |

T2

The height of the first triangle, T1, is the difference between the y-coordinates of the two points: 4 - 0 = 4. The base of T1 is the difference between the x-coordinates: 3 - 0 = 3. So the rise/run ratio for T1 is 4/3.

The height of the second triangle, T2, is the difference between the y-coordinates of the two points: 0 - 4 = -4. Note that because the slope of the line is negative, the height of the triangle is negative as well. The base of T2 is the difference between the x-coordinates: 3 - 0 = 3. So the rise/run ratio for T2 is (-4)/3, which simplifies to -1.33.

The slope of the line is defined as rise divided by run. In this case, the rise is -4 (because the line is descending) and the run is 3. So the slope is (-4)/3, which is approximately -1.33. We can see that the simplified ratio of the rise/run of each triangle is indeed equivalent to the slope of the line.

\((16m + 3) - (4m - 5) \\ 16m + 3 - 4m + 5 \\ 12m + 8\)

Hope it helps

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