Which angle is coterminal with 360°?

A meta - operation defines any form or protocol for the operation, but doesn't its implementation. Option (a) is correct.

Programmers reverence type of protocols. We think about protocols as some thing given to us from on excessive through the Cerfs, Postels, and Berners-Lees of the world. But the fact is that programmers construct protocols all of the time. Sometimes those are advert hoc and different instances they're constructed with the assist of a metaprotocol. Communication protocols in general, in addition to protection protocols, want a better degree of pliability to deal with evolution.

Many method will increase the extent of code sharing and reuse. I additionally observed that protection protocols are best-suitable for the utility of my framework due to the fact maximum protection protocols proportion a comparable set of capabilities and showcase not unusualplace sequences and styles withinside the manner they operate. Therefore, I proven the framework through making use of it to the implementation of numerous protection protocols: Needham-Schroeder Authentication Protocol, ISAKMP, and SSL.

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P-value is equal to 0.0206 and the significance levels at which there is sufficient evidence to reject H0 are at = 0.05 and [tex]\alpha[/tex]=0.1  and value of 99% CI = 7.132, 10.218.

Here we have,

n= 36

e= 9.06

S.E. = 4.256

Hypothesis

H0: μD = 0

Ha: μD > 0

This a right-tailed test

Test statistics,

t = 2.12

P-value at t= 2.12 and degree of freedom(df) = n-1 =36-1 = 35

P-value = t-dist(t, df, tails)

            = t-dist(2.12, 35, L)

= 0.020585

= 0.0206 Round to 4  decimals

If pvalue>[tex]\alpha[/tex], then we reject the null hypothesis.

So, [tex]\alpha[/tex]= 0.05 and [tex]\alpha[/tex]=0.1 we reject the H0.

For sample of n=45 df will be= 45 -1 =44

t0.025 = 2.015

Mean weight = (7.520 + 9.830)/2 = 8.675

Margin of error = 9.830 - 8.675 = 1.155

SE = 1.155/2.015 = 0.573

99%tc = 2.692

Margin of error = 2.692 x 0.573 = 1.543

99% CI =  8.675 ± 1.543

           = 7.132, 10.218

99% CI = 7.132, 10.218.

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Answer:

26

Step-by-step explanation:

the interest will be $1000 IBM corporation bank.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The formula for simple interest is:

S = p*t*r/100

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

So simple interest will be = 10000*10*1 /100 = $1000

Hence, the interest will be $1000 IBM corporation bank.

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Among both teenage boys and adult men, delinquency, hard drug use, and aggressive-bullying responses to frustration have been linked with higher-than-average levels of Testosterone.

The sex hormone testosterone has significant physiological functions. It is thought to control the creation of sperm, red blood cells, muscle mass, fat distribution, and sex drive (libido) in men.

Males and females may both have diminished bone mass and sex drive if a man has low testosterone, which can cause symptoms like erectile dysfunction.

Low sperm counts, testicular shrinkage, and impotence are issues connected to males having abnormally high testosterone levels. Cardiac attack risk is elevated when heart muscle is damaged. enlarged prostate and urination problems.

Therefore , Drug use and aggressive to frustration are licked with higher-than-average levels of Testosterone.

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Explanation:

You want to show cos(4t) +4cos(2t) = 8cos⁴(t).

Use the cosine double-angle identity:

  cos(2t) = cos²(t) -sin²(t) = cos²(t) -(1 -cos²(t)) = 2cos²(t) -1

Then

  cos(4t) = 2cos²(2t) -1 = 2(2cos²(t) -1)² -1 = 2(4cos⁴(t) -4cos²(t) +1) -1

  = 8cos⁴(t) -8cos²(t) +1

Substituting these expressions into the left side of the identity of interest, we have ...

  cos(4t) +4cos(2t) = 8cos⁴(t) -3 . . . . . . . . . . . . . . . . . . identity to prove

  (8cos⁴(t) -8cos²(t) +1) +4(2cos²(t) -1) = 8cos⁴(t) -3 . . . substitute

  8cos⁴(t) -8cos²(t) +1 +8cos²(t) -4 = 8cos⁴(t) -3 . . . . . eliminate parentheses

  8cos⁴(t) -3 = 8cos⁴(t) -3 . . . . . . combine like terms; Q.E.D.

Answer:

(3 + 8u)(3 - 8u)

Step-by-step explanation:

Conjugated binomials

[tex](9-64u^{2} ) =(3+8u)(3-8u)[/tex]

Hope this helps

After six years, Jim Moore's account will have a balance of $69,341 thanks to compound interest.

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the given information in the question,

The account in this issue is split up into two distinct investments. The first one is for $12,000 with a 12% compound interest rate over six years. Consequently, the criteria are as follows:

P = $12,000

r = 0.12

t = 6 years.

[tex]A_1(t)=P(1+\frac{r}{n} )^n^t[/tex]

[tex]A_1(6)=12000(1+\frac{0.12}{6} )^(^2^)^(^6^)[/tex]

A₁(6) = $15219.

The value of the second investment, which is $50,000 and is likewise compounded semi-annually at 12%, will be as follows at the conclusion of the fourth year:

[tex]A_2(t)=P(1+\frac{r}{n} )^n^t[/tex]

[tex]A_2(2)=50000(1+\frac{0.12}{6} )^(^2^)^(^2^)[/tex]

A₂(2) = 54122

Hence,

A(6) = A₁(6) + A₂(2)

A(6) = 15219 + 54122

A(6) = $69341

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Answer:

To find the weight of the plane with 77 gallons of fuel in its tank, we can use the linear equation for the weight of the plane in terms of the amount of fuel in its tank. The equation has the form:Weight = m * Fuel + bWhere m is the slope of the line, which is 5.9, and b is the y-intercept, which is the weight of the plane when the amount of fuel is 0. We know that the weight of the plane with 48 gallons of fuel is 2383.2 pounds, so we can use this information to solve for b:2383.2 = 5.9 * 48 + b

b = 2383.2 - 5.9 * 48

b = 2383.2 - 280.8

b = 2102.4Now that we have the value of b, we can plug it back into the equation to find the weight of the plane with 77 gallons of fuel:Weight = 5.9 * 77 + 2102.4

Weight = 456.3 + 2102.4

Weight = 2558.7 poundsSo the weight of the plane with 77 gallons of fuel in its tank is 2558.7 pounds.

Step-by-step explanation:

The team a finishes with more points than team b with a probability of 319/512

seven teams play a soccer tournament in which each team plays every other team exactly once

in the first game of the tournament, team a beats team b

We need to find  the probability that team a finishes with more points than team b

Both teams, a and b play 6 matches each

In the first match, a wins. Now they can play 5 matches each

Of the remaining 5 games

a win 0 and b win zero

P(a > b) = 5C1/2^5 x 5C1 / 2^5 = 1/1024

a win 1 and b win 1 or zero

P(a > b) = 5C1/2^5 x(5C0 + 5C1) / 2^5 = 30/1024

a win 2  and b win 2 or 1 or zero

P(a > b) = 5C2/2^5 x(5C0 + 5C1 + 5C2) / 2^5 = 160/1024

a win 3 and b win 3 or 2 or 1 or zero

P(a > b) = 5C3/2^5 x(5C0 + 5C1 + 5C2 + 5C3) / 2^5 = 260/1024

a win 4 and b win 4 or less

P(a > b) = 5C4/2^5 x(5C0 + 5C1 + 5C2 + 5C 3 + 5C4) / 2^5 = 155/1024

a win 5 and b win 5 or less

P(a > b) = 5C1/2^5 x(5C0 + 5C1+ 5C2 + 5C3 + 5C4 + 5C5) / 2^5 = 32/1024

P(a> b) = (1 + 30 + 160 + 260 + 155 + 32)/1024 = 638/1025 = 319/512

Therefore, the  the probability that team a finishes with more points than team is 319/512

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The perimeter of smaller circle is 78.5 ft

What is area?

Area is that the amount that expresses the extent of a vicinity on the plane or on a semicircular surface. space|the world|the realm} of a plane region or plane area refers to the world of a form or planate plate, whereas area refers to the world of associate degree open surface or the boundary of a three-dimensional object.

Main Body:

A new arboretum was designed to contain two circular gardens. Garden A has a diameter of 25 ft and Garden B has a diameter of 45 ft.

outline the smaller garden means circumference of the circle.

Perimeter of circle is 2πr.

diameter = 25 ft

radius = 25/2 = 12.5 ft

Radius = 2π *12.5

            = 25 π

            = 25*3.14

            = 78.5 ft

Hence the perimeter of circle is 78.5 ft

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The average speed of the trains are Bullet train = 91.4 km/hr and Ordinary train = 24.9 km/hr

From the question, we have the following parameters that can be used in our computation:

Bullet train

Distance = 320 km

Time = 3 and half hours = 3.5

Ordinary train

Distance = 212 km

Time = 8 and half hours = 8.5

By definition, the speed of an object is the ratio of the distance moved by the object and the time travelled by the object

Mathematically, this can be represented as

Speed = Distance : Time

Express as fraction

Speed = Distance/Time

So, we have

Bullet train = 320/3.5 = 91.4

Ordinary train = 212/8.5 = 24.9

Hence, the speed of the ordinary train is 24.9 km per hour

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A LCM is smallest number among all common multiples of the given numbers. LCM of 24 is 2³ × 3

The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers

There are 3 methods to find the least common multiple of two numbers.

According to the question,

(a) LCM of 24 : 2³ × 3

(b) LCM of 2 , 6 , 12  : 2 × 2 × 3

(c) To find the LCM of two number use the prime factorization of each number and then the product of the highest powers of the common prime factors will be the LCM of those numbers.

(d) Least common factor of 12 : 2 × 2 × 3

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Answer:

The second option/ B

Step-by-step explanation:

6 coins plus 4 coins is 10 coins, and you can’t forget the x amount of pennies.

The tool that is used to make Chart1 look like Chart2 is data lables .

What are Charts ?

Charts can be defined as graphical way that represents data elements.

the forms of charts are tables and graph .

From the attachment we can see that both the charts are circle graphs .

and the chart2's data label is visible and chart's 1 data label is not visible .

The data label of chart1 needs to be visible for both the chart to look alike .

Therefore , the tool that is used to make both the charts lookalike is data labels .

The given question is incomplete , the complete question is

Which tools would you use to make Chart 1 look like Chart 2 ?

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Answer: May I see the graph?

Step-by-step explanation:

a) A dollar is 40% of four dimes.

b) 8% of a dollar is equal to 1 nickel and 3 cents.

c) A dollar is equal to 135% of 5 quarters and 1 dime.

A value or ratio stated as a fraction of 100 is known as a percentage in mathematics. Frequently, the percent symbol (%) or the abbreviation "pct" are used to indicate the percentage. The word "percent" derives from "percent," a contraction of "per centum," which meant per hundred.

1 dime equals 10 cents, as we all know. Thus, 4 dimes equal 40 cents. 4 dimes are consequently 40% of a $1.

We are aware that a nickel costs five cents and a penny one cent. Therefore, 8% of a dollar is equal to 1 nickel and 3 cents.

We are aware that a quarter equals 25 cents and a dime equals 10 cents. 5 quarters and 1 dime are therefore 135% of a dollar.

Therefore,

A dollar is 40% of four dimes.

8% of a dollar is equal to 1 nickel and 3 cents.

A dollar is equal to 135% of 5 quarters and 1 dime.

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The complete question is:

"What percentage of a dollar is the value of each coin combination?

a. 4 dimes

b. 1 nickel and 3 pennies

c. 5 quarters and 1 dime"

Answer:

3√3v/3x V

Step-by-step explanation:

d/dt[32/3π, sin (tim), 3√3v/3x, V]

The length of the hypotenuse of the triangle is √181 cm

Pythagoras theorem states that in the right -angled triangle , the square of the hypotenuse side is equal to the sum of the square of other two sides.

Hypotenuse it the longest side , as it is opposite to the angle 90°

Pythagoras theorem formula :

Let a be the base

b be the perpendicular and c is hypotenuse

So, according to the Pythagoras

c² = a² + b²

According to the question,

We have to find the length of hypotenuse

Given that base = 10

Perpendicular = 9

Let Hypotenuse = x

Using above theorem

=> x² = (10)² + (9)²

=> 100 + 81 = x²

=> c = √181

The length of hypotenuse is √181

I've answered the question in general as the question is incomplete

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The likelihood of this question will be determined as P( E | ~H)=1 - P(E|H).

For independent events the probability P( E | H ) is calculated as:

P( E | H ) = P( E ) * P( E and H)

P( E and H) = P(E) * P(H).

Since the event E has already happened and is obvious, if P(E | H)>P(E | H) then the event E is dependent on the mind of maya, but if P(E | H)>P(E | H) then the event E is not dependent on the mind of maya.

In our situation, P(E | H), which means that the plane crushing is independent of Maya's thoughts, is the probability that will suit this argument.

Since it is illogical to claim that Maya can perceive far-off objects with her mind, the likelihood of this question will be determined as P( E | ~H ) = 1 - P( E | H ).

For independent events the probability P( E | H ) is calculated as

P( E | H ) = P( E ) * P( E and H)

P( E and H) = P(E) * P(H).

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Answer:

a.

Step-by-step explanation:

it is not clear what your teacher discussed and wants from you here.

formally, all triangles are similar, as the description says. and the sequence of the vertexes in the "name" does not make any difference in identifying the triangle. this would be only important when identifying a specific angle (the center letter). in other words : a triangle is identified by naming its three corners in any sequence. simply because for the similarity concern you can twist and turn the triangle until it has the same orientation as the other triangle to compare.

so, again, a very strange question from your teacher. many greetings from me.

as explained, formally all 4 statements are correct.

but in order to identify one, it has to be a.

because the sequence of the corners are the same.

in QTS the side QT (the shortest of the 3 sides) is named first. and TS (the longest of the 3 sides) is named last.

in PQT we have the same sequence. PQ is the shortest side first, and QT is the longest side last.

no other answer option has the same sequence on the left and the right side.

but again, this is actually irrelevant for the similarity relation.

e.g. triangle RQS = triangle SQR, they are just twisted and turned images of the same triangle.

According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic.

The value of the test statistic is z = 1.65.

The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.

Average of 0.48 in 25 at bats,

Test if there was improvement:

At the null hypothesis :

[tex]H_0 : P_1 - P_2 = 0[/tex]

At the alternative hypothesis:

[tex]H_1 : P_1 - P_2 > 0[/tex]

The p-value of the test is the probability of finding a difference of at least 0.19, which is 1 subtracted by the p-value of z = 1.65.

Looking at the z-table, z = 1.65 has a p-value of 0.9505.

1 - 0.9505 = 0.0495.

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We can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

What is a derivative of a function?

The derivative of a function can be interpreted as the slope of the graph of the function or, more precisely, as the slope of the tangent line at a point. Its calculation, in fact, derives from the slope formula for a straight line, except that a limiting process must be used for curves.

To determine whether the rocket is ascending or descending at a given time, we need to find the derivative of the function h(t) and determine whether it is positive or negative.

The derivative of h(t) is given by h'(t) = -t²+42t+43. This is the rate of change of the height of the rocket at any given time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

At t = 1 second, h'(t) = -1 + 42 + 43 = 44. Since the derivative is positive at t = 1, we know that the rocket is ascending at this time.

Hence, we can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

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1.  Opposite angles are equal in measure.

and

2. Diagonals bisect each other.

3. Any two adjacent angles add up to 180 degrees.

Properties of rhombus:

1.   All sides are equal in length.

2.  Opposite angles are equal.

3.   Diagonals bisect each other at 90°.

4.   Diagonals are respective angle bisectors.

5.   Any two adjacent angles add up to 180 degrees.

6.  The area of the rhombus is a product of the lengths of the 2  diagonals divided by 2.  

Properties of rectangle:

1.  Opposite sides are equal in length.

2.  All the angles are 90°.

3.  Diagonals bisect each other.

4.  Any two adjacent angles add up to 180 degrees.

Hence, the common properties are

1.  Opposite angles are equal in measure.

and

2. Diagonals bisect each other.

3. Any two adjacent angles add up to 180 degrees.

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a) Combining like terms (7a + 10b) − (4a − 6b) = 3a + 16b
b) The Simplify expression −5x + 8y + 2x − 3y the answer is -3x + 5y
c) The inequality x - 4 ≤ -1 Graph is given below.

What do you mean by algebraic expression?

When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression).

An algebraic expression is composed of various parts.

a) Given expression:

(7a + 10b) - (4a - 6b)

= 7a + 10b - 4a + 6b

On combining like terms we get,

(7a - 4a) + (10b + 6b)

= 3a + 16b

Therefore, (7a + 10b) − (4a − 6b) = 3a + 16b

b) Given expression :

−5x + 8y + 2x − 3y

On combining like terms we get,

-5x + 2x + 8y - 3y

= (-5x + 2x) + (8y - 3y)

= -3x + 5y

therefore, −5x + 8y + 2x − 3y  = -3x + 5y

c) Given expression:

x - 4 ≤ -1

⇒ x ≤ -1 + 4

⇒ x ≤ 3

Graph of the function is given below:

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The linear equation representing the relationship between the number of paving stones left for Gerald to place, y, and the time, x, Gerald has spent working is 5x + y = 55.

A linear equation is always in the form of y = ax + b, where a is the slope and b is the y-intercept.

The slope, a, is given as (y2 - y1)/(x2 - x1).

(0, 55), (3, 40), and (7, 20)

Taking (3, 40) and (7, 20), the slope is determined as follows:

7 - 3 = 4

20 - 40 = -20

-20/4

= -5

In standard form, the linear equation is 5x + y = 55.

Thus, based on the linear equation above, we can conclude that the more time Gerald spends playing with the paving stones, the fewer stones he has to place.

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Answer:

isnt it 72

Step-by-step explanation:

since it is that kind of triangle

Answer:

Step-by-step explanation:

It is possible to think of the set of hexadecimal digits, which includes one through four digits, as being divided into disjoint subsets: s, Sa, and so forth, strings in S,, strings in fourth, where each S, is made up of the strings with k hexadecimal digits. There are v rules, there are S2 total strings, and so on.

Hexadecimal number system is one of many sorts of ways for representing numbers that has a base-16 value. Hexadecimal numerals therefore contain 16 symbols or digital values, namely 0 through 1, 2, 3, 4, 5, 6, 7, 8, 9, A–F. Single bit representations of 10, 11, 12, 13, 14, and 15 are A, B, C, D, E, and F, respectively.

It can occasionally be spoken as "hex." There are only 16   used to represent hexadecimal integers. A, B, C, D, E, and F are the following values or symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

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Answer:

∠ x ≈ 8°

Step-by-step explanation:

the tangent of the angle x is equal to the slope m , that is

tanx = m = [tex]\frac{7}{50}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{7}{50}[/tex] ) ≈ 8° ( to the nearest degree )