Simplify each number. -(-27)⁻⁴/₃

Multiply by 2: Divide by (a+b)

Answer:

r=(a-1)/pt

Step-by-step explanation:

a=1+prt

a-1=prt

a-1/pt=r

r=a-1/pt

a. Mean and Median is 2.95 and 3 respectively

b. The  first and third quartiles5.25 and 15.75 respectively

c. Range and interquartile range is 7 and 4 respectively

d. Variance and Standard Deviation is 4.201 and 2.049 respectively

e. The skewness is not expected as it largely differs from the mean.

Rearranging the data.

0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6,7

Mean = ∑▒(x/N)

Mean = (6+1+ 5 +3+ 7+ 3 +0+ 3+ 1+ 3 +4 +1+ 2+ 4 +1+ 0 +5 +6 +3+ 1)/20

= 59/20

=2.95

Median = Sum of (10th and 11th number) /2

(3 +3)/ 2

=6/2

=3

Quartile = 0, 0, 1, 1, 1,     1, 1, 2, 3, 3,    3, 3, 3, 4, 4,    5, 5, 6, 6,7

Q1=Value of (((n+1))/4)

Q1=Value of ((1(20+1))/4)

Q1=Value of ((21))/4)

Q1= (5.25)

observation=Value of (5th)

observation= 1

Q3=Value of (((n+1))/4)

Q3=Value of ((3(20+1))/4)

Q3=Value of (((63))/4)

Q3= (15.75)

observation=Value of (16th)

observation = 5

Range = highest value - lowest value

= 7-0

= 7

Interquartile range = q3 – q1

=5 – 1

= 4

Variance =    Σ(Xi-¯X)2/N

x (x-xi) (x-xi)2

0 (0-2.95) -2.95

0 (0-2.95) -2.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

2 (2-2.95) 0.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

4 (4-2.95) 2.95

4 (4-2.95) 2.95

5 (5-2.95) 3.95

5 (5-2.95) 3.95

6 (6-2.95) 4.95

6 (6-2.95) 4.95

7 (7-2.95) 5.95

 Σ=(84.0125)

Variance = 84.0125/20

Variance = 4.201

Standard deviation = √variance

S.D = √4.201

S.D = 2.049

e. the skewness is not expected as it largely differs from the mean.

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Answer:

(5,6)

The x axis is 5 and the y axis is 6.

I really hope this will help you. Good luck! Have a great day!!!! :)

Answer: 7a

Step-by-step explanation:

Step-by-step explanation:

do sum of 3a and 4a your answer will be 7a

Answer:

= 4.875 × 105

(scientific notation)

= 4.875e5

(scientific e notation)

= 487.5 × 103

(engineering notation)

(thousand; prefix kilo- (k))

Step-by-step explanation:

hope this helps

The area of a rectangular patio with the dimensions of 18-3/4 feet and 12 feet will be determined by using the formula for the area of rectangle.

Area of rectangle is calculated by multiplying the length of the rectangle to the width of the rectangle. i.e.,

Area of rectangle= Length*Width

In the given situation,

Length= 18-3/4feet

Width=12 feet.

1. Convert the value of length to improper fraction:

18-3/4=75/4

2. Multiply the length and width to find the area:

Area=(75/4)x12

Solving the expression:

3. Area=75x3=225 sq. feet

The area of a 18-3/4 feet and 12 feet rectangular patio is 225 sq. feet.

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Answer: 38 and 24

Step-by-step explanation:

38 and 24

Answer:

C

6/13

Step-by-step explanation:

Comment

This is not a true sequence. It just has the same things done to the numerator as to the denominator.

The numerator (top part of the fraction).

Add 3 to the previous numerator's top

So 3 + 3 = 6 which is the numerator of the second term.

15 + 3 = 18 which is the numerator of the seventh term.

So the numerator of the 4th term is 9 + 3 = 12

The Denominator

The difference there is 5

So 21 + 5   = 26

The answer is

12/26

This reduces down to 6/13

The odds in favor of selecting an ace then a face card is 3/52.

Probability is used to determine the odds in favor of an event happening. The odds in favor of an event happening lies between 0 and 1. The greater the odds in favor of the event happening, the closer to one, the probability value would be. In a deck of cards, there are 13 aces and there are 12 face cards

The odds in favor of selecting an ace then a face card = (number of ace cards / total number of cards) x (number of face cards / total number of cards)

(13 / 52) x (12 / 52)

1/4 x 3/13 = 3/52

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Step-by-step explanation:

the X is always O when we talk about the y intercept and the Y id always O when we talk about the x intercept

Answer: Sam has 7 quarters and 2 dimes

Step-by-step explanation: If you have 7 quarters you would have $1.75 and with the 2 dimes which make 20 cents more give you $1.95 in total! and every quarter is worth 25 cents multiplied by 7 gave me 175 but in decimal form would 1.75

Hope this helps! :D

Answer: D y=4x   3=4y+x

Step-by-step explanation:

[tex]y=4x\ \ \ \ m=4\\\\3=4y+x\\3-x=4y+x-x\\3-x=4y\\-x+3=4y[/tex]

Divide both parts of the equation by 4:

[tex]\displaystyle\\-\frac{x}{4} +\frac{3}{4}=y \\\\-\frac{1}{4} x+0.75=y\\\\y=-\frac{1}{4} x+0.75\ \ \ \ m_{\perp}=-\frac{1}{m}=-\frac{1}{4}[/tex]

Answer:

  2√2 -√6

Step-by-step explanation:

You want to know the surd representation of the irrational number that rounds to 0.378937382.

The plural "surds" suggests this is the difference of two irrational roots. Looking at √(n+1) -√n, we find that √3 -√2 is the nearest, but does not match.

Looking at √(n+2) -√n, we find that √8 -√6 matches all 9 digits when rounded to the 9th decimal place. 20 digits of that value are ...

  0.37893738196301199941

The given number approximately matches the irrational value ...

  2√2 -√6

__

Additional comment

We programmed a calculator to find the values of √(n+2) -√n for n = 1..10. The result is attached. The 6th value matches, and corresponds to n=6.

In general, finding a surd representation of an arbitrary value seems to be a matter of trial and error. Perhaps your curriculum materials offer an algorithm.

$4051.63 will be in the account after 18 years.

The formula to be used is given as follows :

               A(t) = a ( 1 + r )^t      (1)

 where,  A(t) = future value

                a = principal amount or amount initially deposited.

                r = annual interest rate

                t = time

According to the question we have been given that

             a = $2000

             r = 0.04

             t = 18 years

putting the required values in equation (1) we get

         A(t) = 2000 (1+0.04)^18

         A(t) = 2000 (1.04)^18

         A(t) = 2000*2.03

         A(t) = $4051.63

Thus $4051.63 will be in the account after 18 years.

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as i said i would go with 93-51=42

Step-by-step explanation:

8.7*10.6=92.22 and 8.7*10+6=93

4.8*10.3=49.44 and 4.8*10+3=51

so i am thinking that you would add 93+51 which equals 144...

or you could try 93*51 but your gunna get 4,743

or try 93-51 which is 42

or try 93 diveded by 51 which is 1.8235294117647058

I would go with 93-51=42!

if you really liked this answer, please rate thanks and award brainliest

hope this helped :)

Answer: $33

Step-by-step explanation: I've done it before Have a nice day <3

The value of A is 954

According to the question we have been given that

The equation to be used is :   A = P(1+in)

The values we have been given are ;

       P = 900

       i = 0.03

      n = 2

We need to find the value of A. So to find the value of A we have to put the required values in the equation given to us. Thus,

       A = 900(1+0.03*2)

We will solve according to the BODMAS rule that is we have to first solve the bracket terms.

    A = 900(1 + 0.06)

   A = 900*1.06

    A = 954

Hence the value of A is 954.

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Statements 2, 4 and 5 are true.

Let us check each statement one by one-

1. The square root of a positive number cannot be negative-

This statement is false. Let us take an example. If we take a number, say 4, 4 has 2 square roots- 2 and -2. This is because 2 × 2 = -2 × -2 = 4. Thus, the square root of a positive number can be negative.

2. All positive numbers have two square roots.

This statement is true. It follows from the example in 1 that any positive number has 2 square roots- one negative and one positive.

3. √18 = 9 because 9(2) = 18

The given statement is false. √18 ≠ 9. If √18 was equal to 9, then 9 × 9 must be 18. But 9 × 9 is 81. Hence, false.

4. √49 = 7 because 7(7) = 49

The given statement is true. √49 = 7 as 7 × 7 = 49

5. √25 = 5 because 5²= 25

The given statement is true. √25 = 5 as 5 × 5 = 25

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Answer:

Step-by-step explanation:

Answer:

-21 3/23

Step-by-step explanation:

-27 / 23 is -1 4/13, -1 4/23 *18 is -21.13 or -21 3/23

If the expression is log₄5 x,then the expansion of this will look like

(log 5+ log x)/log 4.

Given that the expression is log₄5 x.

We are required to find the expansion of the expression.

Base change theorem says that [tex]log_{a}b[/tex]=[tex]log_{x}b/log_{x}a[/tex]. We use the change of base formula to re-write a logarithm operation as a fraction of logarithms with a new base.

The expression is log₄5 x.

log₄5 x=(log 5+log x)/log 4

(We know that [tex]log_{a}b[/tex]= log b/ log a and log mn =log m +log n)

Hence if the expression is log₄5 x then the expansion of this will look like (log 5+ log x)/log 4.

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Step-by-step explanation:

or, y° + 40° + y + 30° = 180 [Sum of angle of a triangle]

or, 2y°+ 70° = 180°

or, 2y° = 180° - 70°

or, y = 110°/2°

or. y = 55°

Therefore the value of y is 55°

Answer: 2

Step-by-step explanation:

8+14-5-7+3-7-4

add first.

8+14+3=25

25-5-7-7-4

now subtraction, set aside the added solution, 25.

-5-7-7-4=-23

25-23=2

Answer:

2

Step-by-step explanation:

Parentheses

Exponents

Multiply

Divide

Addition

Subtraction

8+14-5-7+3-7-4

Do addition and subtraction what ever comes first from left to right.

22-5-7+3-7-4

17-7+3-7-4

10+3-7-4

13-7-4

6-4

2

All denominators are [tex]= -17-4\sqrt{5}[/tex].

The phrase simplifies manner to make something simpler to do or recognize. So, by decreasing or simplifying the fractions method we make the fraction as simple as feasible. We do this by dividing the numerator and the denominator with the aid of the most important range that could divide into both numbers precisely.

The only form is likewise known as the decreased form of a fraction. for instance, ¾ is the most effective shape of a fraction that has a not unusual thing equal to 1. but 2/4 is not the most effective form, because 2/four can in addition be simplified and written as ½.

Step one is to perceive a common issue between the denominator and numerator. The denominator and numerator are each divided by the commonplace thing. The department operation is repeated until there are not any extra elements. The fraction is said to be simplified if no greater factors go out.

Apply FOIL method : (a+b)(c+d)= ac+ad+bc+bd

[tex](3+2\sqrt{5} )(1-2\sqrt{5} =3.1.3(-2\sqrt{5} )+2\sqrt{5}.1+2\sqrt{5} (-2\sqrt{5} )[/tex]

[tex]= 3.1+3(-2\sqrt{5} )+2\sqrt{5} .1+2\sqrt{5} (-2\sqrt{5} )[/tex]

[tex]= -17-4\sqrt{5}[/tex]

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The minimum firing time for a stable orbit 300km above Earth is 25 seconds.

An orbit, in the context of celestial mechanics, is the curved path taken by an object, such as the trajectory of a planet around a star, a natural satellite around a planet, or an artificial satellite around an object or place in space, such as a planet, moon, asteroid, or Lagrange point.

Ordinarily, the term "orbit" denotes a trajectory that repeats itself on a regular basis, though it can also denote a non-repeating trajectory. Kepler's rules of planetary motion roughly describe the elliptic orbits that planets and satellites take, with the center of mass orbiting at a focal point of the ellipse.

We know that to achieve stable orbit 300 km above earth, the velocity must be ≈ 7.7 km/s

We will use the given formula

              v = -0.0098 t+c ln R

Here given that c = 2.5 km/s

                          R = 24

Apply the information in the equation we get,

7.7 = -0.0098t + 2.5  In  24

we can also write

t = [tex]\frac{7.7 - 2.5 In 24}{-0.0098}[/tex]  

 = [tex]\frac{7.7 - 7.945}{-0.0098}[/tex]

 = 25s

Hence, the minimum firing time for a stable orbit 300km above Earth is 25 seconds

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A triangle is congruent, and Range of values for x is 5 < x < 29

According to the figure, if L(AB) is less than L(AD), the ∠ACB must be less than the ∠ACD. Take note of how these angles are opposite to the sides stated.

∴ ∠ACB < ∠ACD

⇒2x-10 < 48

At the same time, 2x-10 > 0.

∴ 0< 2x-10 < 48

0+10 < 2x < 48+10 , add 10 to both sides

10 < 2x < 58

10/2 < x < 58/2 , divide 2  by both the side

∴ 5 < x < 29

Range of values for x is 5 < x < 29

Complete question is

Enter the range of values for x:

AB =15, ∠BCA =( 2X-10)°, and AD=18 have angle ∠DCA= 48°

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Answer:

y = x − 6

Step-by-step explanation:

Find slope: (y2-y1)/(x2-x1)

(6-3)/(1-0) = 3/1 = 3

Y = 3x + b, plug in point

3 = 3(0) + b, b = 3

Equation: y = 3x + 3

The slope intercept form of the equation of a line is:

y

=

m

x

+

b

where m is the slope and b is the value of y when x is 0.

We are given that the slope is 1 and the given point shows us that y is -6 when x is 0. Therefore, the equation of the line is:

y = x - 6

The x-intercept will be 5 , y-intercept will be 4 and the coordinate will be (x , y) = (5 , 4).

What is an intercept ?

An intercept is a location on the y-axis where the line's slope passes. It is the y-coordinate of the location where a line or curve crosses the y-axis.

It is given that we have to find out the x and y intercepts from the given graph.

We know that , a function's x-intercept is the value of x at the point where the graph crosses the horizontal axis, or when y = 0. As a result, while examining the function's graph, we find out that the x-intercept is equal to 5.

Similarly , The value of y when the graph crosses the vertical axis, or the value of y when x = 0, is the y-intercept of a function. As a result, while examining the function's graph, we find out that the y-intercept is equal to 4.

So , the coordinate will be (x , y) = (5 , 4).

Therefore , the x-intercept will be 5 , y-intercept will be 4 and the coordinate will be (x , y) = (5 , 4).

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Answer:

x = 9

Step-by-step explanation:

Rearrange

[tex]\sf \rightarrow x^3 - 729 = 0[/tex]

Factor using (a-b) × (a^2 +ab +b^2)

a^3 + a^2b + ab^2 - ba^2 - b^2a - b^3 =

           a^3 + (a^2b-ba^2) + (ab^2-b^2a) - b^3 =

           a^3 + 0 + 0 - b^3 =

           a^3 - b^3

x^3 = x^1

Rearrange(Using polynomial/cube roots)

(x - 9) × (x2 + 9x + 81)  = 0

Subtract/Add

x - 9 = 0 = 9

x^2 + 9x = -81

-81 + 81/4

-243/4

x^2 + 9x + (81/4) = -243/4

(x + (9/2)) × (x + (9/2)) = (x + (9/2)) × 2

(x + (9/2))2 = -243/4

x^2 + 9x + 81 = 0

√243 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × √3 = ±9 × √3

= ±9x  =  (-9 ± 9 × 1.732(i)) / 2

= ±9x

Divide by 9 (Absolute value: positive)

|9/9| = x

Reverse, re-arranging x (Assuming x = 1)

x = |9/x|

Thus,

x = 9

Hope this helped, let me know if anything confuses you, and I will try my best to address that. Have a good day!

On multiplying (√3+√5)(√3-√5), we get answer as -2

1. Split the radicands in half. A number known as a radicand appears underneath the radical symbol.

2. To multiple radicands, multiply the integers as if they were whole numbers. Always keep the item beneath a single radical sign.

3. Use factoring to exclude any perfect squares from the radicand. To achieve this, check whether any perfect squares have the radicand as a factor.

4. Position the square root of the ideal square before the radical sign. Don't change the second component of the radical symbol.

5. Square the square's root. Sometimes it is necessary to multiply a square root by itself.

We are given,

(√3+√5)(√3-√5)

⇒ (√3)² - (√5)²

⇒ 3 - 5

⇒ -2

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