"The output is one-fourth of the input."

Answer:

  390

Step-by-step explanation:

The given sequence has no common difference or ratio, so finding the rule that describes it is mainly accomplished by trial and error.

__

We notice that the ratio of the first two numbers is 2, the difference of the second pair is 3, the ratio of the third pair is 4, the difference of the next pair is 5.

This suggests that we are alternating addition and multiplication, and that the values involved increase by 1 each time.

Addition of 5 was used last, so we expect the next number to be found by multiplying by 6.

  65 × 6 = 390 . . . . . the next number

Answer:

2

Step-by-step explanation:

Because

2 hours=1 lawn

4 hours=2 lawns

6 hours=3 lawns

8 hours=4 lawns

10 hours=5 lawns

12 hours=6 lawns

14 hours=7 lawns

16 hours=8 lawns

18 hours=9 lawns

Another way to think of it is 18 hours by 9 lawns=2 so each 2 hours the lawns should be half like how 12 hours is 6 lawns or how 16 hour is 8 lawns.

Hope this helps have a great afternoon:)

The rate of mowing the lawn by Meena is 2 units per hour, at this rate she will mown 9 lawns in 18 hours.

Given, that Meena mowed 9 lawns in 18 hours.

The breakup of lawn mowing by Meena can be described as below.

She mowed 9 lawns in 18 hours.

So, the breakup :

2 hours = 1 lawn

4 hours = 2 lawns

6 hours = 3 lawns

8 hours = 4 lawns

10 hours = 5 lawns

12 hours = 6 lawns

14 hours = 7 lawns

16 hours = 8 lawns

18 hours = 9 lawns

In this way she mowed 9 lawns in 18 hours with a rate of 2 lawns per hour.

Know more about per unit rate system,

https://brainly.com/question/31972361

#SPJ3

Answer:

ratio's of their volume is 216 : 343

Explanation:

Let volume of one solid be x, another be y

given scale factor = 6 : 7

volume of solid = a³

solve:

[tex]\sf \frac{x}{y} = (\frac{6}{7} )^3}[/tex]

[tex]\sf \frac{x}{y} = \frac{216}{343} }[/tex]

║ Therefore volume of one solid is 216 and another 343 ║

In ratio form:

216 : 343

Answer:

Ratio's is 216 : 343

Step-by-step explanation:

Volume of one solid is x, and the other is y

Scale factor = 6 : 7

Volume of solid = a³

Solve:

[tex]\frac{x}{y}=(\frac{6}{7})^{3}[/tex]

[tex]\frac{x}{y}=\frac{216}{343}[/tex]

Hence, the volume of one solid is 216 and the other is 343

As a Ratio:

216 : 343

The perimeter of a nonagon is the sum of its side lengths

The perimeter of the regular nonagon is 840.7 units

The in-radius of the regular nonagon is given as:

r =17

The perimeter is then calculated as:

[tex]P = \frac{18r}{\tan(pi/9)}[/tex]

Substitute 17 for r

[tex]P = \frac{18 * 17}{\tan(pi/9)}[/tex]

Evaluate the product of 18 and 17

[tex]P = \frac{306}{\tan(pi/9)}[/tex]

Evaluate the quotient

[tex]P =840.7[/tex]

Hence, the perimeter of the regular nonagon is 840.7 units

Read more about perimeters at:

https://brainly.com/question/24571594

Equation representing the number of points 'P' in 'n' games will be

[tex]P=25(3)^{n}[/tex]

Explicit formula of the Geometric sequence:

   a, ar, ar², ar³........arⁿ

      There is a common ratio of 'r' in each successive term to the

      previous term.

      Therefore, it's a geometric sequence.

   Explicit formula of a geometric sequence is given by,

       (For n ≥ 1)

      Here, First term

       Common ratio

       nth term

Given in the table,

   Common ratio (r) of any successive term to the previous term,

   First term of the sequence 'a' = 25

Explicit formula of the sequence will be,

[For n ≥ 0]

      Therefore, equation representing the number of points 'P' in 'n' games will be .

Learn more about the geometric sequence here,

brainly.com/question/11385300?referrer=searchResults

Answer:

7/9

Step-by-step explanation:

if you add the two numbers you will get 7/9

I need friends, kindly follow me everyone<3

Answer:

x > 2

Step-by-step explanation:

2(x + 5) < 4 + 5x

expand brackets:

⇒ 2x + 10 < 4 + 5x

Subtract 2x from both sides:

⇒ 10 < 4 + 3x

Subtract 4 from both sides:

⇒ 6 < 3x

⇒ 3x > 6

Divide both sides by 3:

⇒ x > 2

Answer: x>2

Step-by-step explanation: Check the steps in these attached images your welcome.

Simplify the expression

Answer:

5/21

Step-by-step explanation:

10/7 is a fraction, and if you divide a fraction a/b by c (a/b)/c, then the answer is a/bc, which is 10/6*7, or 10/42, which reduces to 5/21.

Answer:

-27.27 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((12 - 16.5) / 16.5) * 100 = -27.27 %

27.3%

Find the different:

16.50-12=4.5

Find the percentage reduction:

4.5/16.50×100

=27.27272727

=27.3%(3 sig.fig)

We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

[tex]{\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}[/tex]

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ a = 1 , b = - 10 , c = 27

Now , Calculating D ;

[tex]{:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}[/tex]

[tex]{:\implies \quad \sf D=100-108}[/tex]

[tex]{:\implies \quad \bf \therefore \quad D=-8}[/tex]

Now , Calculating the vertex ;

[tex]{:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}[/tex]

[tex]{:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad Vertex = (5,2)}[/tex]

Hence , The vertex of the parabola is at (5,2)

Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .

Refer to the attachment for the graph as well .

Answer: a=1 b=3

Step-by-step explanation: the x for each of the points are 1 and 3

A domain is the range of the assigned value (x), the domain of this piecewise-defined function are: a= 1 and b= 3

Based on the graph of the piecewise-defined function, we can deduce the following points;

When x < 1, we have:

f(x) = -x.

When 1 ≤ x < 3, we have:

f(x) = -1.

When x ≥ 3, we have:

f(x) = (x - 3)² - 1.

Since a domain is the range of the assigned value (x), we have:

a = 1.

b = 3.

Read more on piecewise-defined function here: brainly.com/question/15476150

#SPJ7

Answer:

15.4:8.2

59.29:31.57

31.57:16.81

Step-by-step explanation:

The first one is found by doubling both numbers.

The second one is found by multiplying both numbers by 7.7.

And the final ratio is found by multiplying both numbers by 4.1.

Check the picture below.

Answer:

203.25 (1 = remainder)

Step-by-step explanation:

Answer:

hope it will help you

Answer:

1/20

Step-by-step explanation:

Answer:

17/8

Step-by-step explanation:

2⅛ as an improper fraction.

2 x 8 = 16

16 + numerator (1) =17.

17/8 is 2⅛ as an improper fraction

Solution:

To convert the fraction into improper fraction, multiply the whole number with the denominator and add the numerator to the product. The denominator will remain the same.

2 1/8 in improper fraction is 17/8.

Answer:

1. 5 hours

2. 4 hours

Reason:

Formula for speed is speed = [tex]\frac{distance}{time}[/tex] , if you want to find time, then take distance / speed, which will equal to 100 / 20 = 5 hours, and the same with 2.

[tex]\\ \rm\hookrightarrow Speed=\dfrac{Distance}{Time}[/tex]

[tex]\\ \rm\hookrightarrow Time=\dfrac{Distance}{Speed}[/tex]

So

#1

[tex]\\ \rm\hookrightarrow Time=\dfrac{100}{20}=5h[/tex]

#2

[tex]\\ \rm\hookrightarrow Time=\dfrac{180}{45}=4h[/tex]

The Mean is simply the average of all the numbers. Meaning(see what I did there):
The answer is D) 49.3

To find the Mean all you have to do is find the average for all the numbers. That's what a Mean is. So put simply all you have to do is add all the numbers and divide by how many there are.
43+55+51+62+64+38+35+45+51 =
444 / 9 ≈
49.3 or 49.333333333333333333...
~Neo

Answer:

a is true

b is false

c is true

Answer:

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

Step-by-step explanation:

(a+b)(a+b) = a^2 + ab + ab + b^2 which simplifies to a^2 + b^2 + 2ab

(a^2 + b^2 + 2ab)(b-a) = a^2b + -a^3 + b^3 -ab^2 + 2ab^2 -2a^2b which simplifies to a^2b -a^3 +b^3 +ab^2 - 2a^2b

Answer:

16. 4 6/8 or 4 3/4

17. 3 chairs

18. 320 cars

19. 10 students

Step-by-step explanation:

15. Not enough Information. I need to know how many pencils she had in all

Answer:

Step-by-step explanation:

ABCD is a rectangle

Base = 4 - (-5) = 9

Height = 4 - (-6) = 10

Area = 9 * 10 = 90 ft²

Answer:

[tex]3x-6a=-27[/tex]

[tex]5z +3y=27[/tex]

Combined, these equations cancel out to equal zero.

Step-by-step explanation:

Given:

[tex]X = 3\\A = 6\\Y = 4\\Z = 3[/tex]

Find:

[tex]3x - 6a\\5z + 3y[/tex]

1. [tex]3x-6a[/tex]

To find the value of [tex]3x-6a[/tex], substitute 3 for [tex]x[/tex] and 6 for [tex]a[/tex]:

[tex]3x-6a\\3(3)-6(6)\\9-36\\-27[/tex]

2. [tex]5z +3y[/tex]

To find the value of [tex]5z +3y[/tex], substitute 3 for [tex]z[/tex] and 4 for [tex]y[/tex]:

[tex]5z+3y\\5(3)+3(4)\\15+12\\27[/tex]