Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1

Answers

Answer 1

Answer:

  t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Step-by-step explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

  t[1] = 120

Using the above-described rule, ...

  t[n] = t[n-1]/n . . . . for n ≥ 2


Related Questions

pleaseeeeeee helpppppppp​

Answers

Answer:

B) Multiplying by 0

Step-by-step explanation:

This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.

Hope this helped :)

A jug contains 600 milliliters (mL) of
water. Water is poured out of the jug at a
constant rate of 40 mL per second. The
amount of water, y, left in the jug after x
seconds is y= 600 – 40x.
-
How much water is left in the jug after 6
seconds?

Answers

600-40x6=

40x6=240

600-240=360

Answer: 360 (mL) Remain in the jug after 6 seconds.

Hope This Helps.

Please helppp asappppp

Answers

Answer:x=10

Step-by-step explanation:

First add 90+80 which is 170. Then subtract 180-170 which is 10. If i'm correct, the answer should be 10

Evelyn can run 3 miles in 40 minutes

Answers

Answer:

m= 4.5 miles

Step-by-step explanation:

Let the number of miles Evelyn can run be m and can be modeled by the equation below

m= kx

Where x Is the Minutes

When m= 3

x= 40

3= k40

k= 3/40

If x= 60

m=3/40(60)

m = (60*3)/40

m= 180/40

m= 4.5 miles

Given that the formula for the area of a circle is A=π r2.If the radius of a circular park is 15 feet,what is the area of the park rounded to the nearest hundredths?

Answers

Answer:

706.5

(there is no hundredths place)

Step-by-step explanation:

r=15

a= pi × r²

3.14×15²

15²=225

3.14×225=706.5

PLEASE HELP I BEG IMMA FAILLLLLLLLL

An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?

Answers

Answer:

15

Step-by-step explanation:

If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6

Setting a ratio:

20/5.6=x/4.2

Cross multiplying: 84=5.6x

x = 84/5.6  -->12/0.8 --> 15

x = 15

The table below gives selected values for the differentiable and decreasing function f and it’s derivative. If f^-1(x), what is the value of g’(9)

Answers

According to the table, f(x) = 9 when x = -5. So if g(x) is the inverse of f(x), it follows that g(9) = -5.

By the inverse function theorem,

[tex]g'(9) = \dfrac1{f'(g(9))} = \dfrac1{f'(-5)} = \boxed{-\dfrac14}[/tex]

Help??
Trying to find g
1/3(g-3)=3

Answers

Answer:

g = 12

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (g - 3) = 3 ← multiply both sides by 3 to clear the fraction

g - 3 = 9 ( add 3 to both sides )

g = 12

this states that you can multiply the addends of a number and then add the products.

Answers

Answer:

Distributive Property

Step-by-step explanation:

This is my best guess because you didn't put the topic or give an more information.

Find the inverse function.

f(x) = -3x +1/2

f-1(x) =


Answers

Answer:

f^-1(x)= -x/3 +1/6

Step-by-step explanation:

So its negative x over 3, plus, 1 over 6

Learn with an example
or
Watch a tutorial
Find the slope of the line that passes through (9,5) and (4,1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit

Answers

Answer:

-8

Step-by-step explanation:

In order to find the answer to this question you need to use the slope formula, substitute, subtract, and simplify if needed.

[tex](9,5),(4,1) = (x^1,y^1), (x^2,y^2)[/tex]

[tex]m = \frac{y^2-y^1}{x^2-x^1} = \frac{9-1}{4-5}[/tex]

[tex]9-1=8[/tex]

[tex]4-5=-1[/tex]

[tex]= -8[/tex]

Hope this helps.

Write the equation of the line that passes through the points (0,8) and (-1,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
a

Answers

Step-by-step:

Use slope formula to find the slope. (y - y)/(x - x)

Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So

8 - -4 goes on top, that's 12

0 - -1 goes under, thats 1

12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.

y - y = m(x - x)

y - 8 = 12(x - 0)

y - 8 = 12x

WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC

Answers

The measurement  of ∠ ABC in  [tex]\triangle ABC[/tex], When AB =√2,  AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].

The measures of angle ∠ ABC can be calculated as:

The Law of Cosines, states that:

[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]

Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.

The sides of ∆ ABC will be :

AB = [tex]\sqrt{2}[/tex] (given)

BC = 2 (given)

[tex]AC = 1 + \sqrt{MC}[/tex]

∆ ABC is a triangle and according to the triangle inequality theorem,  the  The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So:

BC+AB > AC

[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]

[tex]\sqrt 2 +1 > \overline{MC}[/tex]

The law of cosines for [tex]\angle ABC[/tex] can be calculated as:

[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]

The values can be obtained by the substitution.

[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]

[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

This can be simplified as:

[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

The value of [tex]\overline{MC}[/tex] can be calculated as:

[tex]\sqrt 2+1 > \overline{MC}[/tex]

Substitute the value in the equation,

[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]

[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]

[tex]0 = 10 - 2.cos (\angle ABC)[/tex]

Thus, the value of cos [tex](\angle ABC)[/tex]  is calculated as:

[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]

[tex]cos(\angle ABC) = 5[/tex]

Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].

Learn more about angles here:

https://brainly.com/question/14569348

#SPJ12

Which of the following rational functions is graphed below?

Answers

Considering the asymptotes, the rational function given below is the following:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:

x(x + 2).

The function has no x-intercepts, hence the numerator is of 1. So the function is given by:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

More can be learned about asymptotes at https://brainly.com/question/16948935

#SPJ1

help po plsss !!!!!!!​

Answers

Answer:

q2 =is tens

q4 is ones

q5 is tens

q8 is ones

q9 is tens

Step-by-step explanation:

I am not sure for these answers

q1 is hundreds

q3is hundreds

q7 is thousands

more I don't know

Answer:

1) Tenths

2) Hundredths

3) Tenths

4) Thousandths

5) Hundredths

6) Tens

7) Tenths

8) Ten Thousandths

9) Ten Thousandths

10) Tenths

1) 0.84

2) 0.7

3) 0.5

Brainliest would be appreciated. :-)

what is 3x + 4y = 10

6x - 4y = 8

Answers

Answer:

x=2

y=1

Step-by-step explanation:

9x+0=18

so it's x=2

6=4y=10

so y=1

Which lines of A, B, and C are perpendicular?

Answers

Answer:

a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1

Step-by-step explanation:

perpendicular slopes multiplied by each other would be -1

-1/3 * 3 for a and both other lines is -1

that means a is perpendicular to both b and c

What angle are these?

Answers

Answer:

Corresponding Angles and Alternate Exterior

Step-by-step explanation:

The angles are corresponding if same side in a parallel.

This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.

For the other problems if they are opposite sides from one another.

They are called alternate exteriors.

A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?

A) 2 inches and 36 inches
B) 4 inches and 18 inches
C) 8 inches and 9 inches
D) 11 inches and 11 inches

IT IS NOT D, I TRIED IT AND IT DOESNT WORK!

Answers

A rectangle has a perimeter of 44 inches and an area of 72 square inches.Perimeter = 44 inches, area = 72 square inches.Let the length and breadth be l and b respectively.We know, perimeter of a rectangle = 2(l + b)Therefore,2(l + b) = 44

or, l + b = 22

or, b = 22 - l ...(i)

We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.

Answer:

B) 4 inches and 18 inches.

Hope you could get an idea from here.

Doubt clarification - use comment section.

What do we do when we cite evidence?


Give a quote from the text


Explain evidence


Give your argument


Tell a joke

WILL MARK BRAINLY NO BOTS

Answers

Answer:Citing textual evidence requires students to look back into the text for evidence to support an idea, answer a question or make a claim. Citing evidence requires students to think more deeply about the text, analyze the author, source etc.

Step-by-step explanation: u havent given the text but i hope this helps

brainliest?

Erick paid a $75 registration fee to join the gym. He pays $15 each month.
How much will Erick pay to use the gym for 5 months?

Answers

Answer:

$150

Step-by-step explanation:

Erick has to pay $15 per month so for 5 months he will have to pay $75 because 15 times 5 is 75. So $75 for registration fee + $75 for 5 months to use the gym give us $150

Write the number for twenty-six million seven hundred thousand.​

Answers

Answer:

The answer is 26,700,000

Who every gets it right will get Brainly and 20points

Answers

Answer: Third multiple choice

Step-by-step explanation:

First answer:

Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:

[tex]2.54*7=17.78\neq 17.68[/tex]

The first answer doesn't match, we do the same for all three remaining answer.

2)[tex]12*7=84\neq 74[/tex]

3)[tex]36*7=252[/tex]

4)[tex]3.28*7=22.96\neq22.86[/tex]

In this case, the answer is the third multiple choice.

Due in 5 mins help please!!!

Answers

Answer:

answer B is correct answer!

I think so

The left and right page numbers of an open book are two consecutive integers whose sum is 195

Answers

Answer:

97, 98

Step-by-step explanation:

a = first number

a + 1 = consecutive number

then:

a + a+1 = 195

2a + 1 = 195

2a = 195 - 1

2a = 194

a = 194/2

a = 97

a + 1 = 98

Check:

97 + 98 = 195

Can someone Please help me on this easy math problem

Answers

Answer:

114

x_shun

jdebh

jejeu

find m angle 1 117+33+x=180​

Answers

Answer:

angle x = 30 degrees

Step-by-step explanation:

180-117-33= x

180 - 117- 33= 30

117+33+x=180

117+33=150

180-150=30

x=30

117+33+30=180

180=180

honestly i dont know what you wanted me to do so i did what i know


) Kora is working on a scrapbooking project. She buys packages of stickers at two different stores.
The price of the stickers at each store is p dollars, but each store offers a different discount
Discount on Packages of Stickers
• Which expression represents the total price Kora
pays for 5 packages of stickers at Store A and
3 packages of stickers at Store B?
3{p - 100) + 512 -0.75) 5(p+1.00 +3(p+0.75)
Store A $1.00 off each package
Store B $0.75 off each package
5(p - 1.00) + 3(p -0.75)
3(p+1.00) + 5(p +0.75)

Answers

The expression that can be used to represent the total price is 3(p - $0.75) + 5(p - $1).

The expression that can be used to determine the total amount spent in store A is:

number of stickers bought x ( price of the item - discount) number of  stickers bought = 5 price of the stickers  = p discount = $1

5(p - $1)

The expression that can be used to determine the total amount spent in store B is:

number of stickers bought x ( price of the item - discount) number of  stickers bought = 3 price of the stickers  = p discount = $0.75

3(p - $0.75)

Total price = 3(p - $0.75) + 5(p - $1)

A similar question was solved here: https://brainly.com/question/25717996

Please find attached an image with the complete question.

ANSWER 100 POINTS AND BRAINLY THIS IS MATH

Answers

Difference between relation and function?

Functions have unique range for each domain.Where as relation haven't.

So

Check option A

2 is repeated in domain

Hence table A is a relation.

Table B is a function

Find the slope given the the two points

Answers

Answer:

the answer is 2

Step-by-step explanation:

use the slope equation

y^1-y^2/x^1-x^2

-1-(-5)/1-(-1)

4/2

2

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