Write in radical form. Do not simplify.11x1/4

The Multiplicative inverse of 47x = 1 mod 64 is 47 x 15 = 1 (mod 64) . Using Inverse GCD 50x = 63 mod 71 is 50 x 27 = 63 (mod 71).

The reciprocal of a particular integer is referred to as the multiplicative inverse. It is employed to make mathematical expressions simpler. The word "inverse" denotes an opposing or opposed action, arrangement, position, or direction. A number becomes 1 when it is multiplied by its multiplicative inverse.

When a number is multiplied by the original number, the result is 1, that number is said to be the multiplicative inverse of that number. A-1 or 1/a is used to represent the multiplicative inverse of the constant 'a'. In other terms, two integers are said to be multiplicative inverses of one another when their product is 1. The division of 1 by a number yields the multiplicative inverse of that number.

a) The Multiplicative inverse of 47x = 1 mod 64 is

x = 47⁻¹ mod 64

Mow,

Let (47)⁻¹ = y(mod64)

Then, 47y + 64k = 1

Now,

64 = 47 x 1 + 17

47 = 17 x 2 +13

17 = 13 x 1 + 4

13 = 4 x 3 + 1

Comparing with equation we get,

y = 15 and k = -11

Hence, 47 x 15 = 1 (mod 64)

b) The Multiplicative inverse of 50x = 63 mod 71 is

x = 50⁻¹ 63(mod 71)

Mow,

Let (50)⁻¹ = y(mod71)

Then, 50y + 71k = 1

Now,

71 = 50 x 1 + 21

50 = 21 x 2 + 8

21 = 8 x 2 + 5

8 = 5 x 1 + 3

5 = 3 x 1 + 2

3 = 2 x 1 + 1

Comparing with equation we get,

y = 27 and k = -19

Hence, 50 x 27 = 63 (mod 71)

Learn more about  Multiplicative inverse:

https://brainly.com/question/30340483

#SPJ4

5. The multiplicative inverse of 47x = 1 mod 64 is 47 x 15 = 1 (mod 64)

6.  The value of 50x = 63 mod 71 using inverse GCD is 50 x 27 = 63 (mod 71).

Given that

47x = 1 mod 64

Divide both sides of the equation by 47

So, we have

47/47x = 1/47 mod 64

Evaluate the quotient

x = 47⁻¹ mod 64

Let (47)⁻¹ = y(mod64)

So, we have

47y + 64k = 1

Expand 64

64 = 47 x 1 + 17

Expand 47

47 = 17 x 2 +13

Expand 17

17 = 13 x 1 + 4

Expand 13

13 = 4 x 3 + 1

When the equations are compared, we have

y = 15 and k = -11

This means that, the multiplicative inverse is 47 x 15 = 1 (mod 64)

Here, we have

50x = 63 mod 71

Divide

50x/50 = 63/50 mod 71

So, we have

x = 50⁻¹ 63(mod 71)

Let (50)⁻¹ = y(mod71)

So, we have

50y + 71k = 1

Expand 71

71 = 50 x 1 + 21

Expand 50

50 = 21 x 2 + 8

Expand 21

21 = 8 x 2 + 5

Expand 8

8 = 5 x 1 + 3

Expand 5

5 = 3 x 1 + 2

Expand 3

3 = 2 x 1 + 1

When the equations are compared, we have

y = 27 and k = -19

This means that 50 x 27 = 63 (mod 71)

Read more about multiplicative inverse at:

https://brainly.com/question/21973802

#SPJ4

Step-by-step explanation:

this is an example u can see and write it yourself...

The expression x + 2 is a commutative property of 2 + x. Therefore, the correct answer option is: C. commutative property.

In Mathematics, the Commutative Property of Addition states that when two (2) or three (3) numerical values (numbers) are added together, the output (end result) would always remain the same, irrespective of the way in which the numerical values are arranged.

Generally speaking, the Commutative Property of Addition allows the addends to be re-ordered without causing a change in the result, output, or outcome.

By applying the Commutative Property of Addition to the given mathematical expressions, we have the following;

x + 2 = 2 + x

Read more on commutative property here: brainly.com/question/24730587

#SPJ1

Complete Question:

Choose the correct term from the vocabulary box.

The expression x + 2 is a(n) _____ of 2 + x.

Associative Property

Additive inverse

Commutative property

Multiplication property

Answer:Examples of Spiral Movement are:

Step-by-step explanation:

1)Cyclone

2)Spiral fern

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

The path of a point in a plane moving around a central point while continuously receding from or approaching it.

Given is a spiral motion.

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

Therefore, the examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

To solve more questions on spiral motion, visit the link below -

https://brainly.com/question/11020427

#SPJ2

Answer: 7/8

Step-by-step explanation:

1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8

Answer:

Below

Step-by-step explanation:

100 * 170/200

= 170/2

= 85%.

Answer:

Step-by-step explanation:

You want to know the pay for a paper route and dog walking if 2 days' paper route pay and 3 days' dog walking pay will total half of $110, while dog walking pays $5 less than the paper route.

Let p represent the pay for a day's pay for the paper route. Then (p-5) is the day's pay for dog walking. The total pay is ...

  2p +3(p -5) = 110/2

Simplifying the equation, we have ...

  5p -15 = 55

  p -3 = 11 . . . . . . . . divide by 5

  p = 14 . . . . . . . . add 3

  p -5 = 14 -5 = 9 . . . . . pay for dog walking

The paper route and dog walking pay 14 and 9 dollars per day, respectively.

__

Additional comment

We could write two equations, and solve by substitution. We would get the same single equation by doing that. In this solution method, it works well to let the variable represent the largest contributor (highest pay).

We could also solve the two equations by any of several other methods. The attached graph shows the solution by graphing.

Answer:

  A.  2x(x+1)(x-6); 0, -1, 6

Step-by-step explanation:

The zeros are the values of x that make the factors zero. That is, for binomial factors, they are the opposite of the constant in the binomial factor. For example, the factor (x+1) will be zero when x = -1, so that -1+1 = 0.

This observation eliminates choices B and C.

__

The product of binomial factors looks like this:

  (x +a)(x +b) = x² +(a+b)x +ab . . . . . x-coefficient is (a+b)

Once 2x is factored from the given polynomial, the resulting quadratic is ...

  x^2 -5x -6

This means the sum of the constants in the binomial terms must be -5. That will only be the case for choice A.

The integral for the volume V of the cut out is 2016πr^3.

The volume V of the cut out can be found using the integral:
V = ∫[A(x)]dx
Where A(x) is the area of the cross section of the cut out at a given x-value and the integral is taken over the length of the cut out.

In this case, the cross section of the cut out is a circle with radius 12r, so A(x) = π(12r)^2 = 144πr^2.
The length of the cut out is the diameter of the cylinder, or 2(7r) = 14r.
Therefore, the integral for the volume V of the cut out is:
V = ∫[144πr^2]dx from x = 0 to x = 14r
V = 144πr^2∫dx from x = 0 to x = 14r
V = 144πr^2(14r - 0)
V = 2016πr^3
So the integral for the volume V of the cut out is 2016πr^3.

know more about volume here

https://brainly.com/question/13338592#

#SPJ11

Answer:

Tip = $4.50

Total = $34.50

Step-by-step explanation:

Multiply 29.99 by .15 to find the tip.

Then add the tip to the original number.

a. The sample proportion is calculated by dividing the number of voters in favor of the school bond measure (281) by the total number of voters in the sample (1000). Therefore, the sample proportion is 0.281.

b. The margin of error for a 90% confidence level can be calculated using the formula: margin of error = 1.645 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.645 x sqrt[(0.281 x 0.719) / 1000] = 0.028.
c. The margin of error for a 95% confidence level can be calculated using the same formula: margin of error = 1.96 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.96 x sqrt[(0.281 x 0.719) / 1000] = 0.032.
d. The 95% confidence interval can be calculated using the formula: sample proportion +/- (margin of error x z-score), where the z-score for a 95% confidence level is 1.96. Plugging in the values, we get: 0.281 +/- (0.032 x 1.96) = [0.219, 0.343]. Therefore, the 95% confidence interval is [0.219, 0.343].

To know more about proportion visit:

https://brainly.com/question/31548894

#SPJ11

The linear equation that represent this situation is y = 1.4x + 14.25 and y = 3.25x + 8.50

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the subscription for a month for watching x online movies.

For movie Madness:

y = 1.4x + 14.25

For show must go:

y = 3.25x + 8.50

The linear equation that represent this situation is y = 1.4x + 14.25 and y = 3.25x + 8.50

Find out more on Linear equation at: https://brainly.com/question/14323743

Using the concept of fraction and percentage, the percentage increase of the baby at 12 months is 177.7 percent

Percentage increase is a mathematical concept that refers to the increase in a particular value over its initial amount. It is usually expressed as a percentage and is calculated by dividing the increase in the value by the original amount, then multiplying by 100.

In this problem, the data given are;

The percentage increase at 12 months old can be calculated as

percentage increase = [(mass at 12 months - Initial mass) / Initial mass] * 100

percentage increase = [(10 - 3.6) / 3.6] * 100

percentage increase = 1.7 * 100

Percentage increase = 177.7%

Learn more on percentage increase here;

https://brainly.com/question/11360390

#SPJ1

Answer:

i dont know

Step-by-step explanation:

Answer:

900 cartons

Step-by-step explanation:

A company produces 7,200 gallons of bottled water each day.The company puts 8 one-gallon hoteles in each cartón.How many cartons are needed to hold all the one-gallon bottles produced in one day

Total gallons of water produced by the company each day = 7,200 gallons gallons bottles

Gallons of water in each carton = 8 one-gallon bottles

How many cartons are needed to hold all the one-gallon hoteles producen in one day

= Total gallons of water produced by the company each day / Gallons of water in each carton

= 7,200 / 8

= 900 cartons

900 cartons are needed to hold all the one-gallon bottles produced in one day

Answer:

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Step-by-step explanation:

The image of the rectangle STUV after a reflection over the line y= –x is attached below.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)

We have to graph the image of the rectangle STUV after a reflection over the line y= –x

The points obtained after graphing ate,

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

There are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.

The total number of ways to form the delegation from five pairs of dance partners can be calculated using the combination formula. The combination formula is used to calculate the number of different combinations of n objects taken r at a time without repetition.

In this question, n is the total number of dance partners (5) and r is the number of people on the delegation (4).

Therefore, the calculation is as follows:

total number of ways = nCr

                    = 5C4

                    = 5! / 4!(5-4)!

                    = 5! / 4!1!

                    = 5 x 4 x 3 x 2 x 1 / 4 x 1 x 1

                    = 5 x 4 x 3 x 2

                    = 120

Hence, there are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.

Learn more about combination here:

https://brainly.com/question/20211959

#SPJ4

===============================================

Explanation:

Side AB is opposite angle C.

Convention is that the lowercase letters represent the side lengths, and they are opposite the uppercase angles.

In short, side AB can be relabeled as side c. Therefore, c = 6.

Angle BAC can be shortened to simply saying angle A.

Angle ABC is shortened to angle B.

The angle names are drawn directly from the middle letter.

------------------

Here's the given info:

Let's use the idea that all 3 angles of a triangle must add to 180 to find angle C.

A+B+C = 180

C = 180-A-B

C = 180-50-70

C = 60

Now let's use the law of sines to determine side 'a'.

a/sin(A) = c/sin(C)

a/sin(50) = 6/sin(60)

a = sin(50)*6/sin(60)

a = 5.3073115853515 approximately

a = 5.3 after rounding to one decimal place

Segment BC is approximately 5.3 cm long.

Answer:

6/11*5/10 = 3/11

Step-by-step explanation:

first we can get 6/11 which is the probability.

then we minus both sides by 1 to get 5/10

then we times them

Answer:

Y = -1/2 x

Step-by-step explanation:

To write the equation in slope intercept form

Y = mx + c

C is y-intercept

the graph is passing through centre. That means y-intercept is zero.

so C=0

To find m which is slope,

\( \frac{rise}{run} \)

rise = 10

run= -20

\( \frac{10}{ - 20} \\ \frac{ - 1}{2} \)

So

\(y = \frac{ - 1}{2} x\)

Answer:

A.

Step-by-step explanation:

There is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.

In the posed query,

We must determine the likelihood that a standard normal random variable will occur with a probability between 0.3 and 3.2.

First, a standard normal random variable with a mean and standard deviation is introduced.

We must determine the likelihood that a standard normal random variable will fall within the range of 0.3 and 3.2.

The likelihood therefore should be

P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)

Using z's typical value

P(0.3<z<3.2)=0.9993−0.6179

Simplifying

P(0.3<z<3.2)=0.3814

According to the z table, there is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.

Option A is the proper response, so.

The complete question is:-

What is the probability that a standard normal random variable will be between .3 and 3.2?

A. .3814

B. .3808

C. .9993

D. .6179

To learn more about probability, refer:-

https://brainly.com/question/30034780

#SPJ4

Answer:

27.001

Step-by-step explanation:

Answer:

Step-by-step explanation:

constant of proportionality : 60/4 = 15

Number : 2

Cost : 15 * 2 = $30

Number 6

Cost = 15 * 6 = $90

Number 8

Cost = 15 * 8 = $120

Answer:

There is only one shape who is similar to A which is the pink one.

Step-by-step explanation:

The inference procedure for each is give below-

A. The inference procedure: Confidence Interval - One mean, μ.

C. The inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

E. The inference procedure: Confidence Interval - One proportion, p.

G. The inference procedure: Confidence Interval - Difference in proportions from two separate samples, M1-M2

I. The Inference procedure: Hypothesis test - Difference in means from two independent samples.

K. The Inference procedure: Hypothesis test - Paired means, HD.

B. The Inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

D. The Inference procedure: Hypothesis test - One mean, μ.

F. Inference procedure: Confidence Interval - Paired means, HD.

H. Inference procedure: Hypothesis test - One proportion, p.

J. Inference procedure: Confidence Interval - Difference in means from two independent samples.

L. It doesn't directly involve inference.

Now we have-

A. What's the average number of free throws for the Warriors to attempt during a game?

Distribution type: z

C. Do the Warriors make more free throws (on average) during games at home than on the road?

Simulation type: BT (bootstrap)

Distribution type: z

E. What proportion of free throw attempts do the Warrior players make?

Simulation type: BT (bootstrap)

Distribution type: z

G. How much better (or worse) are the Warriors at making free throw attempts compared to their opponents?

Simulation type: BT (bootstrap)

Distribution type: z

I. Is the mean number of free throw attempts awarded to the Warriors during their games different from the mean number attempted by their opponents?

Distribution type: z

K. (Challenge) On average, is the point spread when GSWarriors win larger than the point spread when they lose?

Simulation type: BT (bootstrap)

Distribution type: z

B. Is the proportion of free throws made by the Warriors different between games they play at home and those they play on the road?

Simulation type: BT (bootstrap)

Distribution type: z

D. Over the past 10 years, NBA teams have averaged close to 25 free throw attempts per game. Treating this as the population mean, is the mean number of free throw attempts by the Warriors much different?

Simulation type: BT (bootstrap)

Distribution type: z

F. How many more (or fewer) free throw attempts do the Warriors take on average for home games compared to road games?

Simulation type: BT (bootstrap)

Distribution type: z

H. Players in the NBA as a whole make about 75.6% of their free throws. Is the proportion made by the Warriors different from this?

Simulation type: BT (bootstrap)

Distribution type: z

J. How does the average number of free throws made (per game) by the Warriors compare to their opponents?

Distribution type: z

L. (Extra) On average, what is the point spread in GS Warrior games? (where "+" means they won; "-"means they lost)

This case doesn't directly involve inference.  As it requires calculating the average point spread, but it doesn't involve making statistical inferences about a population parameter.

To know more about inference procedure here

https://brainly.com/question/32434769

#SPJ4

So there are 6 permutations possible with the letters "ABC". These are: ABC, ACB, BAC, BCA, CAB, CBA.

Permutations are a way of arranging objects in a specific order. The number of permutations of a set of n distinct objects is given by n!, where n! denotes the factorial of n.

In the case of the letters "ABC", there are three distinct objects: A, B, and C. Therefore, the number of permutations possible with these letters is:

3! = 3 x 2 x 1 = 6

This means that there are 6 possible ways of arranging the letters "ABC" in a specific order. These permutations are:

ABC

ACB

BAC

BCA

CAB

CBA

To see why there are 6 possible permutations, consider the first position. There are three letters to choose from, so there are three possible choices for the first position. Once the first letter is chosen, there are two letters left to choose from for the second position. Finally, there is only one letter left to choose from for the third position. Therefore, the total number of permutations is:

3 x 2 x 1 = 6

In summary, the number of permutations of a set of n distinct objects is given by n!, and in the case of the letters "ABC", there are 3! = 6 possible permutations: ABC, ACB, BAC, BCA, CAB, and CBA.

To know more about permutation,

https://brainly.com/question/30649574

#SPJ11

From the diagram, we can see that line l is parallel to m. Taking the angle (3x-18) on line m to line l, we will see that both 105 and (3x-18) are adjacent to each other and lies on the same striaght line l.

Since sum of angle on a straigth line is 180, hence;

105 + 3x-18 = 180

3x + 105 - 18 = 180

3x + 87 = 180

Subtract 87 from both sides;

3x+87-87 = 180-87

3x = 93

x = 93/3

x = 31

Hence the value of x is 31 degrees

Answer:

t ≥ 2

Step-by-step explanation:

3t + 9 ≥ 15

3t ≥ 6

t ≥ 2

I hope this helped!