What fraction of a metre is 20cm?

Recursive Formula

[tex]\begin{cases}a_1 = 8\\a_n = a_{n-1}-7\end{cases}[/tex]

The top row says the first term is 8

The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.

Note the subscripts tell us which term we're working with.

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Arithmetic Formula

We have a = 8 as the first term and d = -7 as the common difference.

a(n) = a + d(n-1)

a(n) = 8 + (-7)(n-1)

a(n) = 8 - 7n + 7

a(n) = -7n+15

The nth term arithmetic formula is a(n) = -7n+15

If you plug in n = 1, you should get a(n) = 8

If you plug in n = 2, you should get a(n) = 1

and so on.

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Finding the 10th term

Plug in n = 10 to get

a(n) = -7n+15

a(10) = -7(10)+15

a(10) = -70+15

a(10) = -55

The 10th term is -55

Answer:

Step-by-step explanation:

First you gotta divide 3.50 ÷5 = 0.70. 0.70 cents is what one pound of apples cost

Answer:

(3x^2+y^2+2xy)(3x^2+y^2-2xy)

Step-by-step explanation:

9x^4+2x^2y^2+y^4

(3x^2+y^2+2xy)(3x^2+y^2-2xy)

Both terms are perfect squares. So you will factor using the difference of squares formula. a^2-b^2=(a+b)(a-b)

Take what the square is for every term.

9x^4. What squared is 9? 3 and take half of the power or 2. That's how you get the 3x^2

2x^2y^2 is the same way. 2xy and 2xy

y^4 is y but dived he powers by 2 to get y^2.

Take one of each and but in () like I have above.

Answer:

It’s depends on how much of your grade the assignment was worth

Step-by-step explanation:

Answer: Im pretty sure it will effect your grade by 24% if thats the answer your looking for. It also depends on how much the assignment was actually worth

Answer:

It is 90 degrees

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

1. right triangle - a triangle with one angle that measures 90 degrees

2.radius- a line segment from the center of a circle to any point on the circle

3. ray- a part of a line that has 1 endpoint that goes in one direction forever

4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same

5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure

6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Natoy's rectangular swimming pool has the length of 3m more than thrice its

width.

Width=w

Length =3w+3

So

Area of the rectangular swimming pool=length×width

216=(3w+3)×w

216=3w^2+3w

3w^2+3w-216=0

3(w^2+w-72)=0

W^2+w-72=0

W^2+(9-8)w-72=0

W^2+9w-8w-72=0

W(w+9)-8(w+9)=0

(W+9)(w-8)=0

Sotwo value of w are 8,-9

We take positive value for rectangular swimming so we take w=8m

Width=8m

Length=3×8+3

= 24+3

=27m

Answer:

-10

Step-by-step explanation:

If the equation is 2 x 3+4 x 2-3 x 2- 6(x)=  .  Than the equation would turn into  2 x 3+4 x 2-3 x 2- 6(3) which equals -10.

Answer:

if a ray divides an angle into two congruent angles, then the ray is an angle bisector.

Step-by-step explanation:

if p statement is before the comma, called the hypothesis of the conditional statement.

then q statement is after the comma and it is called the conclusion of the conditional statement.

Multiply 6 by numbers 1 -6:

To get:

6, 12, 18, 24, 30,36

Answer:

b

Step-by-step explanation:

count two up, and 5 to the right

Answer:

n = -3

Step-by-step explanation:

distribute

27n + 108 + 18n = 7n - 126 - 40n

combine

45n + 108 = -33n - 126

add 33n to both sides and subtract 108 to both sides

78n = -234

divide by 78

n = -3

Answer:

Thanks for the points lol

Step-by-step explanation:

Answer: 22 gallons of gas.

The amount of gas needed to travel 330 miles will be 36.67 gallons.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

A van travels 180 miles on 12 gallons of gas. Then the rate is given as,

Rate = 20 / 180

Rate = 0.1111 gallons per mile

At that rate, the amount of gas needed to travel 330 miles will be given as,

⇒ 330 x 0.1111

⇒ 36.67 gallons

The amount of gas needed to travel 330 miles will be 36.67 gallons.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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Answer:

3/5, 1, 8/5, 8

Step-by-step explanation:

Answer:

0, 35, 8/5, 8.  I think

Step-by-step explanation:

hope this helps :3

im sorry if im wrong

Answer:

It should be (179 - 4x)

Step-by-step explanation:

Answer:

945678

Step-by-step explanation:

i took the test

Answer:

x= 3/2

Step-by-step explanation:

I apologize if it is wrong!

Answer:

if sin B = sin Y then sin Y = 12/13

Step-by-step explanation:

Triangle ABC is similar to Triangle XYZ

Let angle C be the right angle

Cosine of B is equal to 5/13

Cos B = adjacent/hypotenuse = 5/13

NOTE = below is the lowercase letters that represent the side lengths, not the angles

Adjacent (length of a) = 5 <-- given

Hypotenuse (length of c) = 13 <-- given

Opposide (length of b) = a^2 + b^2 = c^2 --> 5^2 + b^2 = 13^2 --> b = 12

sin B = sin Y

sin B = opp/hyp = 12/13

if sin B = sin Y then sin Y = 12/13

Answer:

the slope is -1

Step-by-step explanation:

rise over run

Answer:

C) The model will be used to predict planet distances and sizes.

Step-by-step explanation:

A model is used to distort the size and shape of the observed object. Therefore, a model of the solar system will not be accurate when it comes to the planet's distances and sizes. It would take miles upon miles to accurately show the distance between planets.

Answer: D is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation: ???

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Answer:

$24,25

Step-by-step explanation:

72.75 ÷ 3 = 24,25

Answer:

1. y = -2x + 5

2.  y = 3/5x + 5

3. y = -4/5x - 4

4. y = - 1

5. yes

6. yes

7. yes

8. no

Step-by-step explanation:

1.   (4,-3) parallel to y= -2x

     -3 = -2(4)+b

     b=5

2. (-5,2) parallel to y = 3/5x

    2= 3/5(-5)+b

     b=5

3. (-5,0) -4/5x

   0 = -4/5(-5)+b

    b = -4

4. (-4,-1)

    y= -1

5. yes

6. yes

7. yes

8. no

          (x,y)  y = mx + b

          plug in the y value and x value in the eqaution and m=slope, solve for b

Answer:

10.5

Step-by-step explanation:

21(4) / 8

84 / 8

10.5

Answer: 80%

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

70% to 0.70

60*0.70= 42

Answer:

1 and ⅛

Step-by-step explanation:

have a good day :)

The amount of floor required to make the recipe is 2 1/4 then if she wants to make 7/2 times of recipe then the amount of floor required will be 7.87 cups.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data provided in the question,

The amount of floor required to make the recipe = 9/4 = 2.25 cups

But, Saron wants to make 3 1/2 times of recipe.

= 7/2 times or 3.5 times.

So, the amount of floor requried for this will be equal to,

3.5 × 2.25 = 7.87 cups of the floor.

To know more about arithmetic operations:

https://brainly.com/question/25277954

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