find the next three terms of the sequence 2000,200,20,...and write the term to term rule.

Answers

Answer 1

Answer:

2, 0.2, 0.02

The first number is 2000.  The term to term rule is 'divide by 10'.

Step-by-step explanation:

To calculate the next term, divide the previous term by 10:

2000 ÷ 10 = 200

200 ÷ 10 = 20

Therefore, the next three terms will be:

20 ÷ 10 = 2

2 ÷ 10 = 0.2

2 ÷ 10 = 0.02

Term to term rule

To work out the term to term rule, give the initial number of the sequence and then describe the pattern:

The first number is 2000.  The term to term rule is 'divide by 10'.


Related Questions

What is the mode of the data set?


8
9
10
5

Answers

Answer:

8

Step-by-step explanation:

It has the highest frequency

1. Are we limited to using a trigonometric function only in cases of an object that has a cyclical behavior? Is it possible to model physical, permanent, structures using the trigonometric functions?
2. Why can the movement of a yo-yo be modeled by a sinusoidal curve?

Answers

Trigonometric functions are not only used in cases of an object that has a cyclical behavior.

What is a trigonometric function?

It should be noted that trigonometric functions are real functions that relate the angle of a right angled triangle to the ratios of the two side lengths.

Trigonometric functions are not only used in cases of an object that has a cyclical behavior. It can be used to obtain unknown angles in geometric figures.

It can also be used to model the fluctuations in temperature data for a particular year.

The movement of a yo-yo can be modeled by a sinusoidal curve since it exhibits a periodic behavior.

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The area of a square is 9ft find the area of a square with 4 times as large

Answers

Well the square root of 9 is 3 so 3 is the length of each side. 3x4=12 so 12x12=144 . The area of the second square is 144 in2.

Answer:

36ft

Step-by-step explanation:

9ft times 4ft= 36ft

6-10 divide, another onee thank you!!​

Answers

Answers:

10.) [tex]\displaystyle \pm{5}[/tex]

9.) [tex]\displaystyle 1\frac{1}{2}[/tex]

8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]

Step-by-step explanations:

10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]

9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]

8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]

I am joyous to assist you at any time.

Square roots are the opposite of ____________.

Answers

Answer:

Squaring a number.

Step-by-step explanation:

The square root is an operation that undoes an exponent of 2, which is the inverse operation of squaring a number.

Squared is the answer

A state park is designed in a circular pattern as shown in the diagram. Marta rides her bike along the circular path from the ranger station to the pool. How far does she ride? Round your answer to the nearest tenth of a mile. Show your work please

Answers

Answer:

2.3 miles

Step-by-step explanation:

Given by the circular pattern as shown in the diagram:

Ranger station to Nature Center = 90°

Nature center to petting zoo= 40°

Petting zoo to Tennis court =120°

Tennis court to Pool = 65°

Pool to Ranger station= 45°

The radius of the circular pattern = 1 mile

Formula:

Arc length = 2πr angle / 360° where r is radius and π=3.14

Solution:

Thus,

Arc length = 2×3.14×1×90°/360°

Arc length=2×3.14×1×1/4 =1.57 miles

Distance from Nature Center to Petting Zoo

Arc length= 2×3.14×1×40°/360°

Arc length= 2×3.14×1×1/9 = 0.70 miles

Total =1.57+0.70 =2.27 miles

Answer to the nearest tenth = 2.3 miles

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Is 3√2 a rational number?

Answers

Answer:

No

Step-by-step explanation:

Because sqrt 2 is not an integer

Answer:

3root2 is not a rational number

Let T be the set of things found in a toy store, and V be the set of things that cost more than $50.

Select the words from the drop-down menus to correctly complete the sentences.

The set T∪V is the set of things that
Choose...
.found in a toys store and cost more then 50$
found in a toys store or cost more then 50$
The set T∩V is the set of things that
Choose...
.found in a toys store and cost more then 50$
found in a toys store or cost more then 50$
The set T′ is the set of things that
Choose...
cost under 50$
not found in toy store
not found in toy store and cose more then 50

Answers

Answer:

found in a toys store and cost more than 50$

Step-by-step explanation:

it makes the most sense don't you think?

Find the values of x and y
x=
and
y=

Answers

Answer:

x = 61

y = 29

Step-by-step explanation:

The angle with the measure of 58 degrees and the angle represented by 2x are supplementary because they form a straight line.

2x + 58 = 180 subtract 58 from both sides

2x = 122 divide both sides by 2

x = 61

The angle represented by 2x and the angle represented by 58 are corresponding and their measure is equal to each other

2y = 58 divide both sides by 2

y = 29

(5) to the 7 over 3 power

Answers

[tex]5^{7/3} = 42.75[/tex] (approximately)

using the formula [tex]x^{a/b}=\sqrt[b]{x^a}[/tex] we can solve the problem

so we rewrite it as [tex]\sqrt[3]{5^7}[/tex] and get ~42.75

Solve the question in the picture and write the correct answer​

Answers

Answer:

  36.24 cm²

Step-by-step explanation:

The shaded region is the inscribed circle in the isosceles triangle. In order to find its area, we need to know the radius of the circle.

__

One way to find the radius of the circle is to make use of the Angle Bisector theorem. It tells us an angle bisector divides the sides of a triangle proportionately. In the attached figure, that means angle bisector CD divides segment AE in proportion to sides CA and CE.

Side Length

To make use of this theorem, we need to know the length of side CA. That is the hypotenuse of right triangle AEC, so can be found using the Pythagorean theorem. Isosceles triangle ABC is given as having height AE=10 and base BC = 12.

  CA² = CE² +AE²

  CA² = 6² +10² = 136 . . . . . . . CE is half the base length: 12/2 = 6

  CA = √136 = 2√34

__

Radius

Now we can write the proportion using the angle bisector theorem.

  DE/CE = DA/CA

  r/6 = (10 -r)/(2√34)

  r√34 = 3(10 -r) . . . . . . . multiply by 6√34

  r(3 +√34) = 30

  r = 30/(3 +√34)

__

Area

From this, we can find the area of the shaded circle to be ...

  A = πr² = (3.14)(30/(3 +√34))²

  = 3.14·900/(43 +6√34) ≈ 36.2374 . . . cm²

The area of the shaded region is about 36.24 cm².

_____

Additional comment

Using area considerations, the formula for the radius of the inscribed circle in an isosceles triangle with base 'b' and sides 'a' can be found to be ...

  [tex]r=\dfrac{b}{2}\sqrt{\dfrac{2a-b}{2a+b}}[/tex]

For a=√136 and b=12, this becomes ...

  [tex]r=\dfrac{12}{2}\sqrt{\dfrac{2\sqrt{136}-12}{2\sqrt{136}+12}}=6\sqrt{\dfrac{(\sqrt{34}-3)^2}{34-9}}=1.2(\sqrt{34}-3)\approx3.39714[/tex]

This is the same value we found above.

your dog weighs 18 kilograms. the medication dosage is 1 milliliter per every 10 pounds. rounded to the nearest milliliter, how many milliliters of medication should you give your dog? 1 kilogram = 2.2 pounds
A) 2mL
B) 3mL
C) 4mL
D) 5mL

Answers

Answer:4mL

Step-by-step explanation: if you multiply 18 by 2.2 you would get 39.6, you would divide by 10 to get 3.96, then you would round to the nearest whole number so you’d get 4.

By using a change of units, we will see that the dog needs 4 mL of medication.

How many milliliters of medication should you give your dog?

Here we need to see how many pounds are in 18 kilograms, using the relation:

1kg = 2.2lb

We get:

18 kg = 18*(2.2lb) = 39.6 lb

Now, for each 10 lb, we add 1mL of medication, then we need to divide the mass of the dog by 10lb, we get:

M = (39.6 lb)/(10 lb) = 3.96

Rounding to the next whole number we get 4, so the dog needs 4 mL of medication.

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what is 6(x+?)= 6x + 30
??????????

Answers

Answer:

Let y = '?'

6(x + y) = 6x + 30

6x +6y = 6x + 30

6x + 6y - 6x = 6x + 30 - 6x

6y = 30

6y / 6 = 30 / 6

y = 5

NEED HELP ASAP!!!!!!

Which expression has a sum of one and eight thirtieths?

-three sixths + three fifths

-four sixths + three fifths

-four sixths + four fifths

-five sixths + one fifth

Answers

Answer:

four sixths + three fifths.

Step-by-step explanation:

1 8/30 = 38/30.

4/6 + 3/5

= 20/30 + 18/30 = 38/30.

Last question please help!

Answers

Answer:

Angle BFC.

Step-by-step explanation:

Because angle BFD is a right angle because angle AFE is equal to BFD because of vertical angles

Koalas weigh 6 kilograms on average. how many cells are in the average koala.

Answers

Here is your answer

Question
Which of the following is NOT in scientific notation?
A. 9.308 x 105
B. 2.758 x 10-6
C. 1.043 x 108
D. 0.316 x 10-4

Answers

Answer:

D

Step-by-step explanation:

this is not standard form

Answer:

D

Step-by-step explanation:

The first number should be equal to or greater than one but less than 10

Dan the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 5 who did Plan B. On Tuesday there were 6 clients who did Plan A and 2 who did Plan B. Dan trained his Monday clients for a total of 10 hours and his Tuesday clients for a total of 10 hours. How long does each of the workout plans last?
*Please help me by today if able*

Answers

yes you can say to clients that you want to talk to the boss to work on project

x/6 = 15/18

I NEED ASAP!!!

Answers

X/6 = 15/18

Cross multiply:


18x = 15 times 6

18x = 90

Divide both sides by 18

X = 5


5/6 = 15/18

Answer:

X= 5

Step-by-step explanation:

X= 15  x6

     18

X= 5

I guess it is correct

stay safe

Triangle ABC has an area of 25 square feet and a perimeter of 65.5 feet. △ABC is dilated by a factor of 5/2 to create △DEF. \

Calculate the area of ABC using the scale factor.

Calculate the perimeter of DEF using the scale factor.

Answers

Answer:

Solution. To find the perimeter of \triangle ABC we use the Pythagorean Theorem which tells us that |AB|^2 = |AC|^2 + |BC|^2. Since |AC| = 5 and |BC| = 12 we find that |AB| = \sqrt{169} = 13. The perimeter of \triangle ABC is then 5 + 12 + 13 = 30 units.

please help convert the time

Answers

Answer:

215 minutes

Step-by-step explanation:

1 hour = 60 min

3x60=180

180+35=215

Answer:

The answer is 215 minutes

Step-by-step explanation:

1 hour is 60mintues

you have 3 hours so you would do

60+60+60=180 or 60*3=180

then take the 35 minutes you have and add those together.

180+35=215 total minutes

Hope this helps mark brainliest please! :)

pLs HeLp Mememememe :((((((((((((((((((((( (

Answers

Answer:

21/2

Step-by-step explanation:

10.5 is correct, but that's a decimal

21/2=10.5

Answer:

21/2

Step-by-step explanation:

10*2 = 20

then 20 + 1 = 21

to get your answer which is 21/2

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

Find the highest number which divides 144,384 and 432 without leaving remainder​

Answers

Answer:

i think its 48

since 144384 divided by 48 would be 3008 and 432 divided by 48 would be 9. I believe thats the highest it can go to.

What is the quotient? X^2-11x+24/(x-8)(x+2)

Answers

Answer:

D

Step-by-step explanation:

[tex]\frac{x^2-11x+24}{(x-8)(x+2)}[/tex] ← factorise the numerator

= [tex]\frac{(x-8)(x-3)}{(x-8)(x+2)}[/tex] ← cancel the common factor (x - 8) on numerator/ denominator

= [tex]\frac{x-3}{x+2}[/tex]

The quotient of the given division problem is D. (x - 3) / (x + 2).

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given expression is,

(x² - 11x + 24) / (x - 8)(x + 2)

We have to first factor the numerator.

x² - 11x + 24 can be factored as (x - 8) (x - 3).

This is done using the factorization method.

Now the expression becomes,

(x² - 11x + 24) / (x - 8)(x + 2) = (x - 8) (x - 3) / (x - 8)(x + 2)

                                            = (x - 3) / (x + 2)

Hence the quotient is option D.

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Identify the equation in slope-intercept form for the line containing the points
(3,5) and (2,-5)
Choices:
y = 3x − 15
y = 5x − 25
y = 10x − 25
y = 5x + 10
Pls help

Answers

Answer:

Third Option y=10x-25

Step-by-step explanation:

Identify the equation in slope-intercept form for the line containing the points

(3,5) and (2,-5)

Choices:

y = 3x − 15

y = 5x − 25

y = 10x − 25

y = 5x + 10

Pls help

Sooo let’s solve this….

Notice the x-axis

Slope Intercept form changes at a constant rate soooo… from (3,5) to (2,-5)

The axis goes left by 1

On A graph the more to the left the smaller number get.

The Y-axis goes down by 10 from the bigger point

But…..

It’s really not going left 1 and 10 down you always start with the smaller point so from

(2,-5) to (3,5) It goes Right 1 and 10 up

Knowing this

Slope Intercept form

Y=mx+b

Where m=slope

b= y-intercept where the line crosses x=0

Our Slope Is 10

Because from -5 to 5 you have to add 10 to get the other value

y=10x+b

But lets just figure out the y-intercept to be sure.

We want the X-axis to be 0 so we will be going left until we get to 0

So We get this point (2,-5)

Knowing that we go up 10 and right 1 to get to the higher value we will do the opposite.

We will go 1 to the left and 10 down

(2,-5)

(1,-15)

(0,-25) As you can see x=0 so the y-intercept will be -25

y=mx+b

m=slope

b= y-intercept

y=10x-25 The Third Option is the Answer….

SonicIsCoool, at your service if you need any help :)

How do you reduce 3.75 to its lowest terms

Answers

Answer: 3.75 is at it's lowest terms. if you mean fractions its 15/4 or 3 & 3/4

Step-by-step explanation:

If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?

Answers

Answer:270

Step-by-step explanation:

Length:

U = 3 inches

W = 7 inches

Y = 8 inches

Add them up: 18 inches all together.

Width:

V = 4 inches

X = 7 inches
Z = 4 inches

Add them up: 15

A= L x W —>  15 x 18 = 270

what are the names of transversal lines?

Ty po in advance♡︎

REPORT:
NON SENSE ANSWER
NAGHAHAKOT NG PTS

BRAINLIEST:
RIGHT ANSWER

Answers

Transversal Line

A transversal line is a line that crosses through two lines on the same plane.

Example:

I attached a photo below showing the Transversal line (the line in red) crossing two lines located on the same plane. Note: The Transversal line is only the red line, not the whole diagram below.

I am open to corrections if I unintentionally added false information :).

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find the percentage profit in each case cost price 20 selling price 25​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

for profit percentage

p% =(sp-cp/cp)×100%

=(25-20/20)×100%

=25%

The profit percentage is 25%

Find the average rate of change between n=1 and n=3

Answers

Answer:

there is not enough information to solve

Step-by-step explanation:

You need two ordered pairs to calculate the average rate of change.

Let's say the value of the function at n = 1 is a, and the value of the function at n = 3 is b, then the average rate of change from n = 1 to n = 3 is

(b - a)/(3 - 1) = (b - a)/2

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