The diagram above demonstrates the steps required for the incorporated G* to induce a stably inherited mutation induced by EMS. What type of mutation above does the EMS induce? a. transition b. transversion c. deamination d. frameshift e. mismatch

Answer:

C

Step-by-step explanation:

A closed circle means inclusive, and -2 is included in values that would make the equation true. Then you just have to test another number greater than and less than -2 to see which way the arrow should point.

-3(-3) + 1 < 7

9 + 1 < 7

10 < 7 FALSE

-3(0) + 1 < 7

1 < 7 TRUE

All values (including -2) will make this equation true

Question:

Which number line shows all the values of x that make the inequality

-2x - 7 ≥ 13 true?

Answer:

( 36/11 , 104/11 )

Step-by-step explanation:

x=36/11

y=104/11

Initial time = 4 minutes and 25 seconds

first improve = 13 seconds

second improve = 16 seconds

third improve = 8 seconds

First, we have to add all the improvements:

13+16+8 = 37 seconds

Then we have to subtract the result to the initial time:

4m 25 sec -37 sec =

Since 1 minute = 60 seconds

4 minutes x 60 = 240 seconds

240 + 25 sec = 265 seconds

4m 25 sec = 265 seconds

Back with the subtraction:

265 sec-37 sec = 228 seconds

Michaels best swimming time was 228 seconds.

To convert it into minutes:

228 /60 = 3.8 minutes

Answer:

y=2x+1

Step-by-step explanation:

The equation shows how to find the length of each piece is L = R / N and the length of each piece is 1.5 feet.

To find the length of each piece, we can use the following equation:

Length of each piece = Total length of the ribbon / Number of pieces

In mathematical terms, we can represent this equation as:

L = R / N

Where,

L is the length of each piece

R is the total length of the ribbon (66 feet in this case)

N is the number of pieces (44 in this case)

In this problem, we are given a 66-foot ribbon and we are asked to cut it into 44 equal pieces. We need to find out the length of each piece.

Using this equation, we can easily find the length of each piece:

L = 66 / 44

L = 1.5 feet

Therefore, each piece of the ribbon is 1.5 feet long.

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Answer: 1,098.1

Step-by-step explanation: Hope this helps, Merry Christmas, and have a nice day!

a)  As long as the slope of the objective function stays between -8/7 and -1/2 the current optimal solution point will remain optimal.                                                                                                                                                                                                                        

b) The objective functions that lead to the same optimal solution are Z = 2X + Y and Z = 25X + 35Y.

a. The binding constraints for the given linear programming problem are 5X + 3Y ≤ 30 and 2X + 5Y ≤ 20. We need to find the range of slope of the objective function for which the current optimal solution point will remain optimal.

First, we graph the two binding constraints on the X-Y plane and find their intersection point as (X, Y) = (3, 3). This is the current optimal solution point.

Next, we need to check the slope of the objective function at this point. Let the objective function be Z = aX + bY. At the optimal solution point, the slope of the objective function is given by -b/a.

For the current optimal solution point (3, 3), we can compute the slope of the objective function for different values of a and b as follows:

When a = 2 and b = 1, the slope of the objective function is -1/2.

When a = 7 and b = 8, the slope of the objective function is -8/7.

When a = 80 and b = 60, the slope of the objective function is -3/4.

When a = 25 and b = 35, the slope of the objective function is -7/5.

Since the binding constraints have negative slopes, we know that the objective function must have a negative slope for an optimal solution to exist. Therefore, the range of slope of the objective function for which the current optimal solution point will remain optimal is between -8/7 and -1/2.

b. To find the objective functions that lead to the same optimal solution, we need to find the objective functions that have the same slope at the current optimal solution point (3, 3). We can compute the slope of each objective function as follows:

For Z = 2X + Y, the slope at (3, 3) is -1/2.

For Z = 7X + 8Y, the slope at (3, 3) is -8/7.

For Z = 80X + 60Y, the slope at (3, 3) is -3/4.

For Z = 25X + 35Y, the slope at (3, 3) is -7/5.

Therefore, the objective functions that lead to the same optimal solution are Z = 2X + Y and Z = 25X + 35Y

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Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given:  x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

The equation in point-slope form is:

where m is the slope and b is the y-intercept.

We are told the slope of this line. Then, we can replace this value in the equation as follows:

As we have one point (x, y) that passes through this line, we can replace it in the x and y values and solve for b as follows:

Simplifying:

Answer:

The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)

First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).

Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).

\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)

\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)

Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)

Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.

Now, we will write the equations with the coordinates of the basis vectors of \(b'\).

\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)

Now we will write the matrix of \(A\) as follows:

\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)

Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

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Answer:

B. 60L

Step-by-step explanation:

30L = 1hr

2hrs= 30×2= 60L

Answer:

B

Step-by-step explanation:

The Year 4, Q1 forecast using exponential smoothing with α = 0.35 and an initial forecast of 417, along with seasonality, is 335.88.

Exponential smoothing is a forecasting technique that takes into account both the historical demand and the trend of the data. It is calculated using the formula:

Forecast = α * (Demand / Seasonal Index) + (1 - α) * Previous Forecast

Initial forecast (Previous Forecast) = 417

α (Smoothing parameter) = 0.35

Demand for Year 4, Q1 = 307

Seasonal Index for Q1 = 0.762

Using the formula, we can calculate the Year 4, Q1 forecast:

Forecast = 0.35 * (307 / 0.762) + (1 - 0.35) * 417

        = 335.88

Therefore, the Year 4, Q1 forecast using exponential smoothing with α = 0.35 and an initial forecast of 417, along with seasonality, is 335.88.

The forecasted demand for Year 4, Q1 using exponential smoothing is 335.88.

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Answer:

3x5=15

Hope this helped!! :)))

The value of 3 multiplied by 5 raised to the power of 2 is equal to 75.

An exponent, also known as a power or index, is a mathematical notation that represents the repeated multiplication of a base number by itself a certain number of times. It indicates how many times the base number should be multiplied by itself.

To calculate 3 multiplied by 5 raised to the power of 2, we follow the order of operations, which states that exponentiation should be performed before multiplication.

First, we calculate 5 raised to the power of 2:

5² = 5 x 5 = 25

Then, we multiply 3 by the result:

3 x 25 = 75

Therefore, 3 multiplied by 5 raised to the power of 2 is equal to 75.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

Move all terms not containing the variable from the center section of the inequality.

−1<x<5

In a contingency table, we describe the relationship between two variables measured at the ordinal or nominal level (option a).

A contingency table is a statistical table that displays the frequency distribution of two categorical variables and helps identify any associations or dependencies between them. The table organizes the data into rows and columns, with each cell representing the frequency count or proportion of observations falling into a particular combination of categories.

By examining the distribution of frequencies across the table, patterns and relationships between the variables can be discerned. This information can be useful in various fields, such as social sciences, market research, and epidemiology, for analyzing survey responses, understanding consumer preferences, or investigating the relationship between risk factors and diseases, among other applications.

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Answer:

4 hours

Explanation:

Mike can build a wall in 5 hours. His work rate is:

His son can do the job in 20 hours. The son's work rate is:

Let the time it takes both of them = x hours. Then, their joint rate is:

Therefore:

We solve the equation for x:

It takes them 4 hours to build a wall together.

The values of the variables are x = -16.8 and x = 8

Algebraic expressions are defined as expressions that are composed of varaibles, coefficients, terms, constants and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

5x+64=-20

collect the like terms, we get;

5x = -20 - 64

subtract the values

5x = -84

Divide by the coefficient, we have;

x = - 16. 8

Also,

9  +2x=25

collect like terms

2x = 16

Divide by the coefficient

x = 8

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Answer:

83 degrees

Step-by-step explanation:

These 2 angles are vertical angles.  This means that they are congruent to each other.

<6=<5

<83=<5

Hope this helps! :)

Answer: 83

Step-by-step explanation:

Angle and 5 and 6 are equal.  Vertical angle theorem says that opposite angles of 2 intersecting lines are equal.

<5 = <6= 83

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

The maximum number of actions from a state in the 8-puzzle is four. It is possible to have multiple valid solutions from a given initial state in the 8-puzzle.

The maximum number of actions from a state in the 8-puzzle is four. In each state, the blank tile can move in up to four directions: up, down, left, and right.

Regarding the possibility of having multiple solutions from a given initial state in the 8-puzzle, the answer is yes. The 8-puzzle is a classic problem with multiple valid solutions. Different sequences of moves can lead to reaching the goal state from a given initial state. These solutions may vary in the number of moves required and the specific sequence of actions taken. Therefore, it is possible to have multiple valid solutions from a given initial state in the 8-puzzle.

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For the rectangle JKLM has diagonals intersecting at P and if m∠LJK = 35°, then

m∠LJM = 110°,

m∠JPK = 17.5°,

m∠JPM = 52.5°.

Solution:

The statement is "Rectangle JKLM has diagonals intersecting at P."

We need to find the angles in this rectangle.

First, we need to draw the rectangle JKLM and intersecting diagonals.

Then, we have to analyze the angles:

Since JKL and KML are right angles, they are 90°.

Let's look at angle LJK, which is given in the question as 35°.

To find m∠LJM, we have to look at the opposite angle MJK, which is also 35° (because rectangle).

Therefore,

m∠LJM = 180 - 35 - 35

              = 110°.

Now, we have to look at triangle JKP and find m∠JPK:

Since the diagonals bisect each other, angle JPK is half of the angle LJK, so

 m∠JPK=35/2

            = 17.5°.

Finally, we have to find m∠JPM:

We know that JPK is 17.5°, and we found that LJM is 110°.

Since they form a linear pair,

m∠JPM = 180 - 17.5 - 110

              = 52.5°.

Hence, m∠LJM = 110°, m∠JPK = 17.5°, and m∠JPM = 52.5°.

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Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

Answer:

70⁰

Step-by-step explanation:

We need to use the knowledge of trigonometry to find the indicated angle. Given the information in relation to the angle we have the opposite and the hypotenuse.

we therefore use Sine in this calculations

Sin ? = opposite/ hypotenuse

= 16/17

= 0.9412

to get the angle we get the sine inverse

Sine inverse of 0.9412 = 70.25⁰

= 70⁰

Answer:

? ≈ 70°

Step-by-step explanation:

using the sine ratio in the right triangle

sin ? = \(\frac{opposite}{hypotenuse}\) = \(\frac{16}{17}\) , then

? = \(sin^{-1}\) ( \(\frac{16}{17}\) ) ≈ 70° ( to the nearest degree )

The product for (2x+1) and (5-x) is -2x²+9x+5.

A fraction represents a part of a whole.

We have to find the product of (2x+1)(5-x)

We use distributive property to find the product.

2x(5-x)+1(5-x)

10x-2x²+5-x

-2x²+10x-x+5

Add the like terms

-2x²+9x+5

Hence, the product for (2x+1) and (5-x) is -2x²+9x+5.

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Each child would get 1/12 th part of the whole watermelon.

For given question,

8 children have to share two thirds of a watermelon equally .

This means we need to equally distribute 2/3 of whole watermelon to 8 children.

To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.

(2/3) ÷ 8

= \(\frac{(\frac{2}{3} )}{8}\)

We know that in 8 = 8/1

So, we rewrite the denominator of above fraction as,

\(\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}\)

This means, each child will get 1/12 part of the whole watermelon.

Therefore, each child would get 1/12 part of the whole watermelon.

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Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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9514 1404 393

Answer:

  -4 < y < 4 and y < -3/2x +2

Step-by-step explanation:

The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...

  m = rise/run = -3/2

This means we can write the boundary line equation as ...

  y = mx + b

  y = -3/2x +2

__

We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...

  y < -3/2x +2

We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...

  -4 < y < 4 and y < -3/2x +2