Define:
Permutation
Factorial
Series
Circular permutation

Answer: 5/10

Explanation: Compare the denominators. Since 2 ⋅ 5 = 10, multiply the numerator 1 by 5 to get 5.

Answer:

8n - 14 = 4n + 3 is the equation

and

n = 4.25

Step-by-step explanation:

hope this helped a little bit :))

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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Answer:

both

Step-by-step explanation:

Answer:

Use sine:

At 2:27pm, between 2 pm to 3 pm is the first right angle formed by hands of the clock.

Total degree in a click which is shaped like a circle: 360°

The number of degrees a minute hand will cover- 360 / 60 = 6°

The minutes the hands cover when right angle 90/ 6 = 15

This means when the hands are at a ninety-degree angle they are  15 minutes apart.

The number of degrees covered by the hour hand in an hour:

= 360 / 12

= 30°

The number of degrees covered by the hour hand in a minute:

= 360 / 12 × 60

= 0.5°

We have to start at 2:00, the time when the minute hand is at 0 degrees and the hour hand is at (360)*2/12 = 60 degrees.

We must find the time T it takes for the hour hand of the clock to move to an angle A(hour) at the same time that the minute hand is at an angle of

A(hour) + 90.

The minute hand rotates at 360 degree per hour

= (360 degree)/60 minutes

= 6 degree/minute

=0.1 s

The hour hand moves at 1/12th the speed of the second hand, so its rotational rate is

= 0.5 degrees/minute.

= 0.0083 degree/second)

So the angle A(minute) of the minute hand at any time t [ sec] will be A(m)

= 0.1 t.

The angle of the hour hand will be A(hour) = 60 + 0.0083 t.

60 degrees is added as the hour hand has a “head start” of 60 degrees at 2:00.

Now the task is to find the time t at which

A(m) = A(h) + 90

0.1 t = 60 + 0.0083 t + 90

This solves to give us the answer

= 1635.8 s  

=27.26 m

= 27 min 15.6 sec

So the hour and minute hands will form a right angle at 2:27 pm

(2 hours 27 minutes 15.6 seconds)

Therefore the correct answer is 2:27 pm.

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Answer:

Step-by-step explanation:

50 x 2 = 100 mile

Answer:

cot 0 = √3/3 and tan 0 = √3

Step-by-step explanation:

We can use the following trigonometric identities:

cot θ = 1/tan θ

sec^2 θ = 1 + tan^2 θ

Given sec θ = 2 and sin θ > 0, we can use the identity sec^2 θ = 1 + tan^2 θ to find tan θ:

sec^2 θ = 1 + tan^2 θ

2^2 = 1 + tan^2 θ

tan^2 θ = 3

tan θ = √3

Now that we know tan θ, we can use the identity cot θ = 1/tan θ to find cot θ:

cot θ = 1/tan θ

cot θ = 1/√3

cot θ = √3/3

Therefore, cot 0 = √3/3 and tan 0 = √3.

Answer:

$1h + $2

Step-by-step explanation:

Answer:

46.80

Step-by-step explanation:

because 45/4%=1.80 and 45+1.80=46.80

Explanation

We are given the following vertices of a triangle:

We are required to determine the perimeter of the triangle.

This is achieved thus:

We know that the distance between two points is given as:

To determine the perimeter of the triangle ABC, we need to determine the distances of AB, AC, and BC.

Therefore, we have:

Therefore, the perimeter becomes:

Hence, the perimeter is:

Answer:

560/9 cubes

Step-by-step explanation:

How many 1/3 inch cubes does it take to fill a box

the dimension of the box is

width 2 2/3 inches,

length 3 1/3 inches, and

height 2 1/3 inches

The volume of the box is

volume= L*W*H

volume= 3 1/3 * 2 2/3* 2 1/3

converting to proper fraction

volume= 10/3*8/3*7/3

volume= 10*8*7/3*3*3

volume=560/27 in^3

the volume of the cube is 1/3

so the number of cubes will be

=560/27/1/3

=560/27*3

=560/9

Like what that guy said sorry did not mean to disturb

It's not entirely clear what is meant by "5 Apples in 6 rows," so I will provide a general answer that could apply to a few different interpretations of the question.

If Johnny has 5 apples and places them in 6 rows, the answer to how many apples he will have left depends on how many apples are in each row and what Johnny does with them. For example, if he eats one apple from each row, he will be left with 5 - 6 = -1 apples, which doesn't make sense. If instead he rearranges the apples into one row, he will still have 5 apples. If he gives away 2 apples, he will have 3 apples left.

In summary, the number of apples Johnny will have left depends on the details of the scenario, including how many apples are in each row and what Johnny does with them.

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Answer:

Numbers =(6,-2 )

Step-by step explanation:

Given

the sum of two numbers is four and the sum of their squares minus three times their product is 76,

Let the first term =X

Second term will be=4-x

So

X^2+(4-x)^2-3x(4-x)=76

x^2+16+x^2-8x-12x+3x^2=76

5x^2-20x+16=76

5x^2-20x-60=0

5(x^2-4x-12)=0

So x^2-4x-12=0

x^2-(6-2)x-12=0

x^2-6x+2x-12=0

X(x-6)+2(x-6)=0

(X-6)(X+2)=0

X=6,-2

Let X=6 and -2 then numbers will be 6 and (4-6)=-2

Answer:

x = 1 y = 6

Step-by-step explanation:

x + 2y = 13

-x + y = 5

3y = 18

y = 6

-x + 6 = 5

-x = -1

x = 1

The circumference of the circle is 6.28 yards.

"It  is the length of the boundary of the circle."

C = 2 × π × r, where 'r' is the radius of the circle.

For given example,

r = 1 yd.

π = 3.14

Using the formula for the circumference of circle,

⇒ C = 2 × π × r

⇒ C = 2 × 3.14 × 1

⇒ C = 6.28 yd.

Therefore, the circumference of the circle is 6.28 yards.

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Margaret is incorrect because the given information does not include enough details to determine if the quadrilateral WXYZ is a parallelogram.

To prove that a quadrilateral is a parallelogram, the four sides must be equal in length and the opposite angles must be congruent. The given information does not include any measurements or angles, so it is not possible to determine if the quadrilateral is a parallelogram.

No, 144 inches of tape is not enough to finish the job. The hazard sign has two identical parallelogram-shaped stripes, and each stripe will require more than 144 inches of tape to outline. The area of a parallelogram can be calculated using the formula A = bh, where b is the base and h is the height. In order to determine how much tape is needed to outline the stripes, the base and height of the parallelograms must be known.

There is not enough information to prove that a quadrilateral is a parallelogram, as all four sides must be equal in length and the opposite angles must be congruent. Additionally, 144 inches of tape is not enough to outline the hazard sign's two identical parallelogram-shaped stripes, as the base and height of the parallelograms must be known in order to calculate the area.

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Answer:

B

Step-by-step explanation:

The general equation of a straight line can be represented as;

y = mx + b

where m is slope

If two lines are perpendicular, the product of their slopes will be -1

So since the slope of the first line is 1, then the slope of the second line will be -1

Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer

Answer:

Mary worked 10 hours last week and received $192 in tips for a total income of $292.

Step-by-step explanation:

I don't see any answer options.  The best I can assume is that h stands for hours.  If so, Mary makes $5/hour.  The 1932 doesn't have units, but I'll assume it is $.  The $192, I'll guess, is her average weekly tip income.  The difference between 292 and 192 is $100, so that would mean Mary worked 20 hours last week.  Her tip income is almost double her salary.  

Answer:

900 kilometers

Step-by-step explanation:

Convert the percentage into a decimal.

90 ÷ 100 = 0.9

Multiply 1000 by 0.9

1000 * 0.9 = 900

a) The reference angle of x is π/6.

b) The exact values of sin(x), tan(x), and sec(x) in simplest form are: sin(x) = -1/2, tan(x) = √3/3, sec(x) = -2√3/3.

a) To find the reference angle of x, we need to determine the positive acute angle formed between the terminal side of x and the x-axis. Since x is negative and lies in the fourth quadrant, we can find the reference angle by subtracting the angle's absolute value from 2π. In this case, the angle is π/6, so the reference angle of x is π/6.

b) To find the exact values of sin(x), tan(x), and sec(x), we can use the reference angle we determined in part a. In the fourth quadrant, sin(x) is negative, and we can use the unit circle to find that sin(π/6) = 1/2. Therefore, sin(x) = -1/2.

Similarly, in the fourth quadrant, tan(x) is negative, and we can use the unit circle to find that tan(π/6) = √3/3. Therefore, tan(x) = √3/3.

Lastly, sec(x) is the reciprocal of cos(x). In the fourth quadrant, cos(x) is negative, and we can use the unit circle to find that cos(π/6) = √3/2. Therefore, sec(x) = 1/cos(x) = 1/(√3/2) = 2/√3 = -2√3/3.

In summary, the reference angle of x is π/6, and the exact values of sin(x), tan(x), and sec(x) in simplest form are sin(x) = -1/2, tan(x) = √3/3, and sec(x) = -2√3/3.

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Therefore, the solution to the given system of linear equations is: x = 2y - 4 = 2(5/3) - 4 = -2/3 y = 5/3 z = 8/3

The given system of linear equations is, 2x - 5y + z = -9 (i) x + 4y - 6z = 2 (ii)

3x - 4y - 2z = -10 (iii)

Let's solve this system using the elimination method. From equations (i) and (iii), we have:

2x - 5y + z = -9 ........(i)

3x - 4y - 2z = -10.......(iii)

We can eliminate z from these equations by multiplying equation (i) by 2 and adding it to equation (iii) as shown:4x - 10y + 2z = -18 (2i)3x - 4y - 2z = -10........(iii)

7x - 14y = -28............(iv)

Divide equation (iv) by 7, and we get

x - 2y = -4....................(v)

Now let's eliminate z from equations (ii) and (iii). We can do this by multiplying equation (ii) by 2 and adding it to equation (iii) as shown:

x + 4y - 6z = 2.......(ii)

3x - 4y - 2z = -10.......(iii)

2x + 8y - 12z = 4.......(ii)

3x - 4y - 2z = -10.......(iii)

5x + 4y - 14z = -6.......(vi)

Now, let's eliminate y from equations (v) and (vi). To do this, we can multiply equation (v) by 4 and add it to equation (vi) as shown:

4x - 8y = -16..........(v)

5x + 4y - 14z = -6.......(vi)

9x - 14z = -22.........(vii)

We can now solve for z by substituting equation (vii) into equation (iv). Therefore:

9x - 14z = -22 (vii)

x - 2y = -4 (v)

Solve equation (v) for x as follows:x = 2y - 4Substitute this into equation (vii) to get:

9(2y - 4) - 14z = -22

Simplify and solve for z as follows:

18y - 36 - 14z = -22 18y - 14z = 14 9y - 7z = 7

Now, we can substitute the values we have obtained for x and z into equation (ii) to solve for y as follows:

x + 4y - 6z = 2 (ii)2y - 4 + 4y - 6z = 2 6y - 7z = 3 6y - 7(1) = 3 6y - 7 = 3 6y = 10 y = 5/3

Now we can substitute x = 2y - 4 and y = 5/3 into any of the three original equations to solve for z. Using equation (i), we get:

2x - 5y + z = -9 2(2y - 4) - 5y + z = -9 4y - 8 - 5y + z = -9 -y + z = 1 z = y + 1 = 5/3 + 1 = 8/3.

Hence, the main answer is

x = -2/3, y = 5/3, z = 8/3.

Therefore, the solution to the given system of linear equations is: x = 2y - 4 = 2(5/3) - 4 = -2/3 y = 5/3 z = 8/3.

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Answer:

6:5

I guess that's the answer because 2*3/5

Answer:

4

Step-by-step explanation:

Replacing x with -x mirrors the graph compared to the y-axis. options 2 and 3 are out. The two viable options are 1 and 4. I lean towards option 4 since mirroring the graph does not affect its concavity and #1 changes it

Thus, the simple interest earned on the sum of $7400 is found as: SI = $194.25.

Simple interest is the percentage that is charged on the principal sum of money that is lent or borrowed. Similar to this, when you deposit a particular amount in a bank, you can also earn interest. The concept of simple interest is widely used in many industries, including banking, mortgages, autos, and other financial institutions.

Given data:

Formula for the simple interest:

SI = PRT / 100

SI = 7400* 10.5*0.25 / 100

SI = 19425 / 100

SI = 194.25

Thus, the simple interest earned on the sum of $7400 is found as: SI = $194.25.

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Complete question:

Find the simple interest for the sum of $7400 at  rate of interest of 10.5% for period of 1/4 years.

Answer:

approximately 43 - 44 minutes exact

Answer:

It would take you 2917 hours.

Step-by-step explanation:

Do 777,777,777 divided by 266,560.

I hope this helped at all.