Find the value of x. Explain your work please.
Concurrency of Angle Bisectors

Find The Value Of X. Explain Your Work Please.Concurrency Of Angle Bisectors

Answers

Answer 1

Answer:

[tex]x+5=2x-1[/tex]

combine terms

subtract x from both sides and add 1 to both sides

[tex]6=x[/tex]

Answer is A


Related Questions

time-ordered plot of representative sample statistics called a(n): Gantt chant. simo chart
control chart
p-down matrix
standard deviation table

Answers

An example of time-ordered typical sample statistics is shown in the Control chart. It is used to process the Mean bar.

A control chart is a statistical tool for monitoring the effectiveness of a process over time. It has the form of a graph with two additional lines representing the upper control limit and lower control limit. The central line in the graph represents the mean or average of the data.

Control charts are a type of graph used in production control to assess the effectiveness of exceptional production procedures under challenging circumstances. Control charts are actually the tools used in control strategies. These curves were produced using historical data.

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in example 35.1 values were rounded to the proper number of significant figures in each step it is sometimes suggested that one or two insignificant figures be carried along

Answers

It would depend on how accurate the calculation was in this scenario.

In general, it is preferable to round each step to the correct number of significant figures, but in some circumstances, carrying one or two insignificant figures can assist prevent round-off errors.

All zeros that are to the right of the decimal point but to the left of a non-zero number in a decimal number that ranges between 0 and 1 are not significant.

If there are zeros in a whole number to the right of a non-zero digit but to the left of a recognised decimal point, the situation becomes questionable.

All of the last zeros of a decimal number are significant when it is rounded off to a specific number of decimal places.

Complete Question:

It is sometimes suggested that one or two extra decimal places be carried along in each step when rounding values to the proper number of significant figures.

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It would depend on how accurate the calculation was in this scenario.

In general, rounding each step to the right number of significant numbers is ideal, but in rare cases, carrying one or two insignificant digits can help prevent round-off mistakes.

All zeros to the right of the decimal point but to the left of a non-zero integer in a decimal number between 0 and 1 are ignored.

The issue becomes dubious if there are zeros in a whole integer to the right of a non-zero digit but to the left of a recognised decimal point.

When a decimal value is rounded to a specified number of decimal places, all of the final zeros are important.

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simplify the expression 5x^(2n-1)+(2x^(3n+1))^2

Answers

Hey there!

Given:

[tex]5x^(^2^n^-^1^)+(2x^(^3^n^+^1^))^2[/tex]

Simplified Solution:

[tex]5x^2^n^-^1+4x^6^n^+^2[/tex]

Hope this helps!

Forces with magnitudes of 85 pounds and 50 pounds act on a single point at angles of 45° and 60°, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these
forces.

Answers

50.545\degree with the positive x axis,  {133.909\ ; pounds}.

what is degree?

The magnitude of an angle is measured using a unit of measurement. In magnitude, 1 degree is equivalent to 1/360 of a full rotation.A degree at a university or college is the certification you receive once you have successfully completed a course of study there. graduation ceremony a ceremony where degrees are conferred from universities. academic subject.The four main types of college degrees are the doctoral or professional degree, the associate degree, the bachelor's degree, and the graduate degree. There are numerous distinctions between a doctorate and a professional degree, and each category has its own unique subcategories.

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21. Write in standard a + bi form: (2 + 5i)(−1 + 5i)
A. 23+5i
B.
C.
D. -2+5i
-27+5i
-2 +25i
HELP PLEASE!!

Answers

Therefore , the solution to the given problem of expression comes out to be  -27 + 5i.

Meaning of expression

Multiplication, division, addition, and subtraction are all possible in math. The expression structure is as follows: Expression, calculator, and a number or variable Numbers, variables, and procedures (such as subtraction, multiplication, addition, or division, etc.) are all parts of a mathematical expression. You can compare two expressions or sentences.

Here,

Given : (2 + 5i)(−1 + 5i)

To find a + bi form

we get,

=>  (2 + 5i)(−1 + 5i)

=> -2 + 10i -5i +25i²

=> -27 + 5i

Thus ,-27 + 5i forms same expression as the a+bi form so, it is the solution for this problem.

Therefore , the solution to the given problem of expression comes out to be  -27 + 5i.

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(10+z)−4=18 Select the number from the drop-down menu to correctly complete the statement. The value of z is \

Answers

The correct value for z that makes the algebraic expression true is equal to 12

Algebraic expression

In mathematics, an algebraic expression is an expression which is made up of variables and constants, along with algebraic basic operations such as addition, subtraction, multiplication and division.

we first open the bracket

10 + z - 4 = 18

z + 10 - 4 = 18

z + 6 = 18

subtract 6 from both sides of the equation

z + 6 - 6 = 18 - 6

z = 12

Therefore, 12 is the value of z that makes the algebraic expression true.

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Select the correct answer. Which statement best defines a circle? A. the set of all points in a plane that are the same distance from a given point called the center B. points in a plane that surround a given point called the center C. the set of all points that are the same distance from a given point called the center D. the set of all points in a plane that are the same distance from each other surrounding a given point called the center

Answers

The statement that best defines a circle is  A. the set of all points in a plane that are the same distance from a given point called the center.

what is a circle?

A circle is a shape produced by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a given point is constant. The radius is the distance between any two points on a circle and its center.

A circle is a basic closed curve that splits the plane into two regions: inner and exterior. In daily parlance, the phrase "circle" can refer to either the figure's boundary or the entire figure, including its inside; in pure technical parlance, the circle is simply the boundary and the entire figure.

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Find sin(a) pls I will give brainliest

Answers

Answer:

Answer:

cot α = 1/tan α = 1/2.4 = 0.42

Step-by-step explanation:

cot α=0.42

sin α = 0.92

we know that cot α = 1/tan α

thus,

cot α = 1/tan α = 1/2.4 = 0.42

we know that

sin(x)=tan(x)1+tan2(x)√

\begin{gathered}\ sin(\alpha )=tan(\alpha )/\sqrt{ 1+tan^2(\alpha )} \\sin(\alpha )= 2.4/\sqrt{1+2.4^2} = 2.4/\sqrt{1+5.76}\\sin(\alpha )= 2.4/\sqrt{6.76} = 2.4/2.6 = 12/13 = 0.92\end{gathered}

sin(α)=tan(α)/

1+tan

2

(α)

sin(α)=2.4/

1+2.4

2

=2.4/

1+5.76

sin(α)=2.4/

6.76

=2.4/2.6=12/13=0.92

sin α = 0.92

can someone help? This is due today!

Answers

Answer:

Question 2: No Solution

Question 4: (2,-3)

Step-by-step explanation:

Question 2: {x-y=7} {x-y=-4}

Question 4: {5x+2y=4} {9x+2y=12}

There is two ways of solving this;

Elimination method and Substitution method.

I will be using the Substitution method for Question 2 and Elimination method for Question 4.

Substitution method is basically substituting in the equation like this;

Question 2:

x - y = 7 and x - y = -4

x - y = 7 into x = 7 + y

Substitute:

7 + y - y = - 4

7 = - 4

7 ≠ - 4

Therefore, there no solution to this equations.

Question 2: No Solution

Question 4:

Elimination Method is basically eliminates one of the variables, so we can solve a more simplified equation.

5x + 2y = 4 and 9x + 2y =12

5x + 2y = 4

-(9x + 2y = 12) - Multiply this equation by -1.

Now we have;

5x + 2y = 4

-9x -2y = -12

-4x = -8

x = 2

We can substitute x  to find y.

5(2) + 2y = 4

10 + 2y = 4

2y = -6    

y = -3

(2,-3)

Question 4 Solution: (2,-3)

RevyBreeze

Could someone help me with this? Been stuck on it for a minute

Answers

Part a: Area of habitat - Area of field = Area of mowed portion.

Part b: Area of mowed portion: 4x(b - x)

Explain the term area of the square?The maximum number of unit squares forming a square is referred to as the square's area. In other terms, it is described as the area that the square occupies.

For the stated question:

Part a:

The complete area is given as: Area of habitat.

The area kept for birds: Area of mowed portion

Central unmowed portion: area of field

Thus,

Area of habitat - Area of field = Area of mowed portion

Part b: Area of mowed portion: 4x(b - x)

Proof:

b² - (b - 2x)² = [b - (b - 2x)] [b + (b - 2x)]

                    =  [b - b + 2x] [b + b - 2x]

                    = (2x)(2b - 2x)

                    = 4x(b - x)

Thus, the Area of mowed portion: 4x(b - x).

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Suppose that the world's current oil reserves is R = 2200 billion barrels. If, on average, the total reserves
are decreasing by 15 billion barrels of oil each year, answer the following:
A.) Give a linear equation for the total remaining oil reserves, R, in billions of barrels, in terms off, the
number of years since now. (Be sure to use the correct variable.)
R=-15t+2200
B.) 15 years from now, the total oil reserves will be 1975
✓billions of barrels
C.) If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted all
used up) approximately 146.60
x years from now.
(Round your answer to two decimal places.)
age instructor

Answers

Answer:

54637737636553363666

On July 1, Jones Corporation had the following capital structure:
Common Stock, par $1; 8,000,000 authorized shares, 145,000 issued and outstanding
Additional Paid-in Capital
Retained Earnings
Treasury Stock
$ 145,000
99,000
179,000
None

Answers

On solving the provided question, we can say that By addition we have the following data , Total y Stockholder's Equity is = $367,000.00 and $367,000.00 and $367,000.00      

what is addition?

The other three fundamental operations are subtraction, multiplication, and division. Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers.

By addition we have the following data ,

Total y Stockholder's Equity is = $367,000.00 and $367,000.00 and $367,000.00      

                                                 Case 1                             Case 2                          

                     Before stock             After 100%                     After Stock

                    transactions         stock dividend                   Split          

                                                             

Nos of             105000                210000                      210000

shares

outstanding

Par per share      $1.00                              $1.00                   $0.50

Common Stock    $105,000.00              $210,000.00      $105,000.00

Account

Additional Paid  $91,000.00            $91,000.00            $91,000.00

in capital

Retained Earnings $171,000.00             $66,000.0         $171,000.00

Total y                    $367,000.00 $367,000.00         $367,000.00

Stockholder's Equity

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PENTAGONS
If ABCDE PQRST, find the
scale factor of ABCDE to PQRST and the
perimeter of each polygon.

Answers

The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.

what is perimeter  ?

The perimeter of a form is its circumference. The interior space of a form is measured by area. The perimeter is the space around a shape's edge. Discover how to calculate the perimeter of various forms by multiplying their side lengths. The whole length of a shape's boundary is referred to in geometry as the perimeter of that shape. The length of each side and edge that surrounds a shape is added to find its perimeter. It is measured in linear distances such as centimeters, meters, inches, or feet.

given

the scale factor in the following format: a: b = 5/7 for ABCDE and PQRST

ABCDE's perimeter is equal to the total of its sides,

which is 65 (10 + 10 + 10 + 20 + 15).

the sum of all the sides of PQRST equals 91.

The perimeters of ABCDE and PQRST are 65 and 91, respectively, and their respective scale factors are 5/7.

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Help Me please It's geometry

Answers

Answer:

D) [tex]28^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle EDQ+m\angle QDC=m\angle EDC \\ \\ 8x+4+31x-3=118 \\ \\ 39x+1=118 \\ \\ 39x=117 \\ \\ x=3 \\ \\ m\angle EDQ=8(3)+4=28^{\circ}[/tex]

What’s the domain of x-3+5

Answers

The domain of the function x - 3 + 5 is  x ∈ R(real number)

What is a function ?

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

The function is

f(x) = x - 3 + 5 = x + 2

for all value of x ∈ real number the function is define

So , the domain of the function x - 3 + 5 is  x ∈ R(real number)

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Integer of 56 how many units is it away from 12

Answers

The number of units that the integer 56 is away from 12 is 44.

How to calculate the value?

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The integer will be expressed as:

= 56 - 12

= 44

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Dana measured the floor of her storage unit, which is rectangular. It is 3 meters wide and 5 meters from one corner to the opposite corner. How long is the storage unit?

Answers

After using Pythagorean theorem the rectangular floor is 4m long.

What is Pythagorean theorem ?

 A right angled triangle's missing length can be discovered using Pythagoras' Theorem.

The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is always the longest, and the hypotenuse (which is between the opposite and the hypotenuse).

Here in the given rectangular floor,

Width = 3m and Altitude which is hypotenuse = 5 m.

Now using Pythagorean theorem,

=> [tex]length^2+width^2=hypotenuse^2[/tex]

=> [tex]length^2+3^2=5^2[/tex]

=> [tex]length^2=5^2-3^2[/tex]

=> [tex]length^2=25-9=16=4^2[/tex]

=> length = 4m

Hence the rectangular storage unit is 4m long.

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The Morris family is planning to carpet the entire home. The type of carpet the family wants is sold at two different stores. store A sells 50 square feet of carpet for $325. The equation y=7.25x represents the cost of buying x square feet of carpet from store B

Answers

So, on solving the question we can say that - the equation is  y=7.25x; y = 2356.25

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here, the equation is -

y=7.25x

x = 325

y = 2356.25

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need help asap ill give brainlist Which is the equation of the boundary line for the inequality

Answers

Answer: Y = x −3

Step-by-step explanation: If the inequality just has a > or < sign the line will be a broken or dotted line and its points are not included in the solution. In this case the equation of the boundary line is y = x −3 This line has a slope of 1 and a y-intercept = -3.

The answer is D. y = 3. That is because the sign shown in the question means greater than or equal to 3, meaning it can't get any greater than three, but it can equal it.

dividing complex numbers simplify

Answers

Answer:

Step-by-step explanation:  

Find the difference by subtracting the polynomial 4a^3+6a^2-11a-3 from the polynomial 2a^3-4a^2-6a+1

Answers

The difference of the polynomials 4a^3+6a^2-11a-3 and 2a^3-4a^2-6a+1 is given as follows:

2a³ + 10a² + 5a - 4.

How to obtain the difference of polynomials?

The difference of polynomials in this problem is defined as follows:

4a^3+6a^2-11a-3 - (2a^3-4a^2-6a+1)

To subtracted the polynomials, we combine the like terms, hence:

4a³ - 2a³ = 2a³.6a² - (-4a²) = 6a² + 4a² = 10a²-11a - (-6a) = -11a + 6a = -5a.-3 - 1 = -4.

Hence the difference of the polynomials is given as follows:

2a³ + 10a² + 5a - 4.

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emmy and roscoe both run every day. Yesterday emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours. Who ran faster and why

Answers

Roscoe is faster.

What is speed?

Speed is a scalar quantity that refers to "how fast an object is moving."

Given that, Emmy and Roscoe both run every day. Yesterday Emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours.

Speed = distance / time

Emily's Speed = 8 / 2 = 4 mph

Roscoe's speed = 6 ½ / 1 ½ = 6.5 / 1.5 = 4.33 mph

Since, Roscoe's speed is greater than Emily's speed.

Hence, Roscoe is faster.

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which equation reorestents the line that passes through (2,3) and (-2,5)?

Answers

Answer:

a.y=-1/2×X + 4 is the req eqn for st.line.

*mark me brainliest

(FAST 50 POINTS)
Find the perimeter of this rectangle

Answers

Answer: 22[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]5\sqrt{5)[/tex] X 2 =10[tex]\sqrt{5}[/tex]

3[tex]\sqrt{20\\[/tex] X 2= 12[tex]\sqrt{5}[/tex]

10[tex]\sqrt{5}[/tex] + 12[tex]\sqrt{5}[/tex] = 22[tex]\sqrt{5\\[/tex]

Determine the average rate of change of B from t = 0 $ to t = 332 s. Time (s) Concentration of A (M) 0 0.670 166 0.415 332 0.160
A -> 2B rateB =__________________ M/s

Answers

The rate of B is  -0.003072 M/s.

The average rate of change is a measure of how much a quantity changes over a certain period of time. In this case, we are looking at the concentration of B, and we want to know how much it changes over the time interval from 0 to 332 seconds. To calculate this, we first need to determine the initial and final concentrations of B at these two points in time.

From the given data, we know that

the initial concentration of B at t = 0 is 0.670 Mthe final concentration of B at t = 332 s is 0.160 M.

Once we have these values, we can calculate the change in concentration of B by subtracting the initial concentration from the final concentration: 0.160 M - 0.670 M = -0.510 M. This tells us that the concentration of B decreases by 0.510 M over the time interval from 0 to 332 seconds.

Next, we need to divide this change in concentration by the length of the time interval to get the average rate of change. The length of the time interval is the difference between the final and initial time: 332 s - 0 s = 332 s. So, the average rate of change of B is (-0.510 M) / (332 s) = -0.001536 M/s. This tells us that the concentration of B decreases by 0.001536 M per second on average over the given time interval.

As we know that the reaction is of form A -> 2B, the rate of formation of B is equal to twice the rate of A.

So, Rate of B = 2* Rate of A =  2*(-0.001536) = -0.003072 M/s

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A dance squad needs at least $800 to buy new dance outfits.

They have saved $350 already.
They are selling tickets to a dance performance for $8 each.
They need to sell x tickets to have enough money to buy the new dance outfits. Which inequality represents this situation?

A
8x+350≤800

B
8x+350≥800

C
8(x+350)≤800

D
8(x+350)≥800

Answers

Answer:

B) 8x + 350 ≥ 800

Step-by-step explanation:

A dance squad needs at least $800, this means the inequality sign will be greater than or equal to.

They already have $350, and each ticket is $8.

So,

8x + 350 ≥ 800

A line ray or segment that intersects a segment at its midpoint is said to bisect the segment and is called

Answers

When a line, ray or segment intersects another segment at its midpoint, such a line, ray or segment is called a segment bisector.

What is a segment bisector?

As the name implies, When a line or a ray intersects another segment at its midpoint, such a line or ray is called a segment bisector.

More specifically, A line or ray is termed a perpendicular bisector when the ray or line intersects a given line segment at 90°, and also passes through the midpoint of the line segment.

Ultimately, the term which best describes such line or ray as described in the task content is; Segment bisector.

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(d) If every unit that the Acme factory produces is sold for $4, write a function R(x) that gives the
cumulative revenue of the Acme factory where x is the number of days since the start of 2018.
Include the units of the function's output.

Answers

Revenue is calculated by multiplying the number of units sold by the price per unit. Multiply the output level by the price function to get the revenue function.

What is revenue function?R is expressed as a function of x. Remember that revenue = price quantity. Because we want the revenue to be a function of x, we must express the price and quantity in terms of x. The number is straightforward; it is x.If x is the number of units sold, we will refer to these two functions as: R(x) denotes the revenue function, while C(x) denotes the cost function. As a result, our profit function equation will be: P(x) = R(x) - C (x).Profit is a function. P(x) is the profit made from selling x units of the commodity and is represented by the difference.

So here R(x) = 4(x)

Where x = number of days.

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Consider the matrices.

A=⎡⎣⎢4−3−578−2⎤⎦⎥ and B=⎡⎣⎢53−1−468⎤⎦⎥

What is the result of A−B?

Answers

The subtraction of the given martix B from A given as:

A - B = | -1     11 |  

           | -6     2 |

           | -4   -10 |

Explain the term matix and its subtraction?When a matrix is subtracted, its equivalent elements from two or more other matrices are also subtracted. Data can be organized mathematically into rows and columns using matrices.

A = | 4   7 |        B  = | 5   -4 |    

     | -3  8 |               | 3    6 |    

     | -5 -2 |               | -1   8 |    

A - B = | 4 - 5     7 + 4 |  

           | -3 - 3    8 -  6 |

           | -5 + 1    -2 - 8 |

A - B = | -1     11 |  

           | -6     2 |

           | -4   -10 |

Thus, the subtraction of the given martix B from A given as:

A - B = | -1     11 |  

           | -6     2 |

           | -4   -10 |

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Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.


Outcome Frequency

Green 4
Black 6
Orange 5

Based on the given frequency, determine the experimental probability of selecting a black marble.
A. 0.27
B. 0.33
C. 0.40
D. 0.60

Answers

The required probability of selecting the black marble is given as 0.40. Option C is correct.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total number of marbles in the bag = 15
Number of black marble = 6 [from the table]

Now,
The experimental probability of selecting a black marble,
= Number of black marble/Total number of marbles
= 6/15 = 0.40

Thus, the required probability of selecting the black marble is given as 0.40. Option C is correct.

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PLEASE HELP ME WITH NUMBER ONE What does the cli option do on the model statement of an mlr analysis in proc glm? Dapple Company is considering a capital investment in machinery: 8.Calculate the payback 9.Calculate the ARR. Round the percentage to two decimal places (Click the icon to view the data.) 10.Based on your answers to the above questions, should Dapple invest in the machinery? Let h be a secure cryptographic hash function. For this problem, a password consists of a maximum of 14-characters and there are 32 possible choices for each character. If a password is less than 14-char, it's padded with nulls until it is exactly 14 chars. Let P be the resulting 14 char password. Consider the following two password hashing schemes.(i) Password P is split into two parts, with X equal to the first 7 char and Y equal to last 7 char. The password is stored as (h(X), h(Y)). No salt is used.(ii) The password is stored as h(P). Again, no salt is used.Question:A. Assuming brute force attack, how much easier is it to crack the password if scheme(i) is used as compared with scheme (ii)?B. If scheme (i) is used, why might a 10 char password be less secure than a 7-char password? is a document that contains questions or blank spaces where the appilicant provides information what is the theory of purchasing power parity? does the theory successfully explain all long-run exchange rate movements? what are some reasons that it might not always explain such movements? how does the ppp impact customers and businesses differently? you decide to work in japan for the next ten years, accumulate some savings, then move back to the united states and convert your savings from yen to dollars. at the time of your move, economists predict that consumers in the united states have reignited their love of japanese products, especially hoverboards and 3d televisions, and expect this strong preference for japanese products will continue for the next decade. should these predictions encourage or discourage you from working and saving in japan why should you reconsider your move and/or reconsider it in the future? How can the amidomalonate method be applied to synthesize phenylalanine in two steps? In a survey conducted among some people of a community, 650 people like meat, 550 people don't like meat, 480 don't like fish and 250 like meat but not fish. (i) How many people were surveyed? (ii) How many people like fish but not meat? (iii) How many people are vegetarians? Match the task to the correct phase.1. creating the communication plan project-initiation phase 2. completing the project charter project-planning phase 3. noting the team's accomplishments project-closure phase 4. monitoring the project schedule project-execution phase tyner et al. (2002) found that strains of mice with elevated expression of the protein p53 ________________________________. Joyce is paid $14. 85 an hour for a regular 40-hour week. Her over time pay is time and a half her hourly rate. This past week, Joyce earned $727. 65 in total pay. How many hours of overtime did she work? Kindly solve this question as soon as possible using the concept pf graph theorySuppose Kruskals Kingdom consists of n 3 farmhouses, which are connected in a cyclical manner. That is, there is a road between farmhouse 1 and 2, between farmhouse 2 and 3, and so on until we connect farmhouse n back to farmhouse 1. In the center of these is the kings castle, which has a road to every single farmhouse. Besides these, there are no other roads in the kingdom. (a) Find the number of paths of length 2 in the kingdom in terms of n. Justify your answer. (b) Find the number of cycles of length 3 in the kingdom in terms of n. Justify your answer. (c) Find the number of cycles in the kingdom in terms of n. right-clicking a column heading, then selecting insert, will add a new column to the left of the current column.T/F? (a) What is the rate of heat conduction through the 3.00-cm-thick fur of a large animal having a 1.40-m2 surface area? Assume that the animals skin temperature is 32.0C , that the air temperature is 5.00C , and that fur has the same thermal conductivity as air. (b) What food intake will the animal need in one day to replace this heat transfer? write lead variables in terms of the free vraibles What is the main theme reflected in this excerpt from Ulysses by Alfred, Lord Tennyson?There gloom the dark broad seas. My mariners,Souls that have toil'd, and wrought, and thought with me--That ever with a frolic welcome tookThe thunder and the sunshine, and opposedFree hearts, free foreheads--you and I are old; Old age hath yet his honour and his toil.Death closes all; but something ere the end,Some work of noble note, may yet be done,Not unbecoming men that strove with Gods. A. The old have free hearts and free minds. B. The mariners have toiled hard to avoid the dark and broad seas. C. It is very important to have free time and sunshine in life. D. The old can regain honor by taking up challenges again. a volume of 100 ml of 1.00 m hcl solution is titrated with 1.00 m naoh solution. you added the following quantities of 1.00 m naoh to the reaction flask. classify the following conditions based on whether they are before the equivalence point, at the equivalence point, or after the equivalence point. the fuel tank of a truck has a capacity of 55 gal. if the tank is full of gasoline 1sg = 0.7512, what is the mass and weight of the gasoline in si units? which of the following is a valid metacharacter that can be used in the bash shell to escape or ignore the shell's special meaning for the character that immediately follows? the term structure of interest rates tells us what _________ interest rate are on default-free, pure discount bonds of all maturities.