Please help Asap!

Directions: Write a recursive rule and an explicit rule for each arithmetic sequence.

86, 101, 116, 131, 146,...

112, 110, 108, 106, 104,...

Answers

Answer 1

Answer:

Step-by-step explanation:

86,101,116,131,146,...

a=86

c.d d=101-86=15

explicit formula

[tex]a_{n}=a+(n-1)d\\a_{n}=86+(n-1)15=86+15n-15=71+15n,n \in I,n>0\\[/tex]

recursive formula

[tex]a_{n}=a_{n-1}+15,a_{1}=86,n \in I,n \geq 2[/tex]

2.

112,110,108,106,104,...

a=112

c.d d=110-112=-2

explicit formula

[tex]a_{n}=112+(n-1)(-2) =112-2n+2=114-2n,n \in I,n>0[/tex]

recursive formula

[tex]a_{n}=a_{n-1}-2,a_{1}=112,n \in I,n \geq 2[/tex]


Related Questions

put these fractions to least to greatest 8/9 6/9 5/9 7/9 please help

Answers

8/9, 7/9 6/9 5/9 is it from least to greatest form

Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest?
Total Interest = $


What is Tarah's new total balance?

New Balance Total = $

Answers

Answer:  

Total interest = $28.72

New balance = $ 387.72

Explanation: Tarah has $359 in the bank. To find the amount of interest, multiply 359 by .08.

She gets $28.72 interest annually.

In one year, she will make $387.72.  (Add the total interest to her original balance)

Plz mark brainliest:)

Plssssa HELP PROBLEM 1 :

Answers

Answer:

2,1 .     4,4 .     5,2

Step-by-step explanation:

Answer:

a' (2,1)

b'(4,4)

c'(5,2)

(x,y)→(x+1,y+4)

Step-by-step explanation:

So the <a'b'c' is <abc translated 1 unit to the right and 4 units up. Whenever it says to move to the right or the left it has to do with the x axis. When you move to the left its subtraction and when you move to the right you addition.

When ever is say to move up or down it has to do with the y-axis. when you move up its addition and when you move down its subtraction. Sooo since the question said to move it to the right and up theyre both going to be addition. Thats why in the translation theyre both addition sign.

Im really bad at explaining things but hope this helps:)

ILL MARK BRAINLIST IF YOU GET IT RIGHT .which expression is equivalent to s - t?

Answers

Answer:

s(6)×t(6)

hope this helps

They are variables
Are there supposed to be answer choices?

Help me please
Find the slope

Answers

Answer:

this is a negative slope.

Step-by-step explanation:

-5 -2q = 9


please help me

Answers

Answer:

q = -7

Step-by-step explanation:

-5 - 2q = 9

Add 5 to both sides of the equation.

-2q = 14

Divide both sides by -2.

q = -7

Find the measure of the missing value in the
pair of similar polygons. (Shapes not drawn to
scale.)
17.5 ft
25 ft
25 ft
w
18 ft

Answers

Answer:

12.6

Step-by-step explanation:

The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,

left triangle : right triangle

ratio = 25 : 17.5

The bottom sides are also in the same ratio.

ratio = 18 : w

Write a proportion by setting the ratios equal and solve for w.

25/17.5 = 18/w

Cross multiply.

25w = 17.5 * 18

25w = 315

w = 12.6

Answer: 12.6

A really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. What is the speed of the armadillo?
A. 2.0 m/s
B. 10 seconds
c. 10 meters
D. 200 m/s

Answers

Answer:

A

Step-by-step explanation:

Speed= Distance/time

20m/10s=2 m/s

PLEASE ANSWER FAST.
The question is in the picture.
(question 24)

Answers

Answer:

As the values of x increase both function decrease in value.

Step-by-step explanation:

Clue 1: The GCF of the mystery pair is 7. Clue 2: The LCM of the mystery pair is 70. Clue 3: Both of the numbers in the mystery pair have two digits. Clue 4: One of the numbers in the mystery pair is odd and the other is even. What is the mystery pair?

Answers

Answer:

14 and 35 I believe.

Since the GCF of 14 and 35 is 7, the LCM is 70 (14×5 and 35×2), they both have 2 digits, and one is even (14) and the other is odd (35).

I hope this helped!

The mystery pair would be required for numbers 14 and 35.

What is HCF?

The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We need to write 70 as the product of its prime factors, which is 70.

⇒ 2 × 5 × 7

14 × 5 and 35 × 2

Given that the GCF of the mystery pair is 7

And the LCM of the mystery pair is 70.

Here the GCF of 14 and 35 would be 7

As per the given condition,

The required numbers in the pair have two digits,

Therefore, the even number is 14, and the odd is 35.

Hence, the mystery pair would be required for numbers 14 and 35.

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If SV is a perpendicular bisector of RT, which statement is true?

Answers

The correct answer is A. :)).

Answer:

The correct answer is A

Step-by-step explanation:

A baseball player starts the season with 77 career home runs. Ten games into the
season, he has hit 2 home runs. Assume he continues at this pace. Write an
equation for the number of career home runs he has hit. How many career home
runs would you expect him to have at the end of the season (162 games)?

Answers

If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.

162 / 10 is approximately 16.

16 × 2 = 32

32 + 77 = 109 career home runs

Using the slope intercept relation, the required equation and the number of home runs at season end would be ;

y = 0.2x + 77109

Recall :

y = bx + c

c = initial number of hime runs = 77b = slope y = total career home runs x = number of games played

Slope, b = 2 home runs per 10 games = 2/10 = 0.2

The expression can be represented thus:

y = 0.2x + 77

Number of home runs at the end of the season :

x = 162

y = 0.2(162) + 77

y = 32.4 + 77

y = 109.4

y = 109

Hence, Total number of hime runs would be 109.

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Find the value for x that makes the given equation true. - -4(3x – 7) + 5x = -2x + 8​

Answers

Answer:

Okay this might be slightly confusing but I'll try to make it simple. x = -10

Step-by-step explanation:

-4 ( 3x - 7 ) + 5x = -2x + 8 1. get rid of parenthesis first. -4 times 3x = -12x and -4 times -7 is 28

-12x + 28 + 5x = -2x + 8 2. Combine any like terms on each side of the equation. -7x + 28 = -2x + 8 3. Get rid of the smallest x value by adding to both sides -7x

+7x +7x

28 = -2x + 8 4. subtract 8 from both sides to get rid of it. (you wanna get x alone)

-8 -8

20 = -2x 5. Divide both sides by -2 to get 1x (which is x)

/-2 /-2

x = -10

how to find the sequence



X. Y

0. 0
1. 1.5
2. 4
3. 7.5
4. 12​

Answers

Answer:

they add one half to each number

hii i need help with a geometry problem. the picture is attached. i'll mark you brainliest!!

Answers

Answer:

i would wanna say the first one

Step-by-step explanation:

∆GAS ≅IOL by rule ASA , SAA

We say that ∆GAS ≅ ∆IOL because m∠G = mI , mA = m∠L and AS = LO ( which means that these triangles are congruent under the ASA or SAA congruence postulate . )

Therefore ,

∆GAS ≅ ∆ILO by rule ASA , SAA

Express the following number as a decimal:
2 x 10^-6

Answers

Answer:

0.000002

Step-by-step explanation:

2* 10^-6

is the same as

2 * 0.000001

which is

0.000002

Answer:

The answer is: 0.000002

Step-by-step explanation:

Have a great day!

Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine EACH.

Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a function of time.

Answers

Answer:

C = t * 3

Step-by-step explanation:


2. Lauren is thinking about spending all of her allowance money to buy a new bike. If she has $224
and she can only afford of the price of the bike, how much does the bike cost?

Answers

Answer:

Ffyguggjbkbkhigu

Step-by-step explanation:

Hjvjgjgugugugugugigkhkhkhkhkhkhkh

Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it? *

Answers

Answer:

Step-by-step explanation:

Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;

1, 2, 4...

The nth term of an arithmetic sequence is expresses as;

[tex]T_n = ar^{n-1}[/tex] where;

a is the first term

r is the common ratio

n is the number of terms

To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).

from the sequence above;

a = 1

r = 2/1 = 4/2 = 2

T4 = 1(2)^{4-1}

T4 = 2^3

T4 = 8

Hence the hydra will have 8 heads on the third day.

To know the number of heads at the end of 10 days, we will find the 11th term of the progression

T11 = 1(2)^{11-1}

T4 = 2^10

T4 = 1024

He will have 1024 heads after 10 days of trying to kill the monster.

The number of heads that would the Hydra have on the third day is 8

And, at the end of 10 days of trying to kill it is 1024.

The calculation is as follows:

a = 1

r = 2 by 1 = 2  

T4

= 8

So the hydra will have 8 heads on the third day.

Now  

To know the number of heads at the end of 10 days, we will determine the 11th term of the progression

= 1024

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1. Factor the expression completely 20x^4+80x^3-5x^2-20x

Answers

Answer:

5x(x+4)(2x+1)(2x−1)

Step-by-step explanation:

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?

Answers

The area of rectangle ABCD with the given vertices is: 8 units².

What is the Area of a Rectangle?

Area of rectangle = (length)(width).

Given the following vertices:

A(-2, 2)B(6, 2)C(6, 3)D(-2, 3)

Area = (length)(width) = (AB)(BC)

AB = |-2 - 6| = 8 units

BC = |2 - 3} = 1 unit

Area of rectangle = (8)(1) = 8 units².

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Answer: 8

Step-by-step explanation:

i know it’s a lot to ask for but what are the answers for all of these you get 100 points and you get marked brainliest

Answers

In order: -15, -5, -15, 0, 0, -18, 0, 18, -30, -10, -11, -7, -14, 14, 0, -16, -200, 0.
-15, -5, -15, 0,0, -18, 0, 18, -30,-10, -11, -7, -14, 14, 0, -16, -200,0

What is 3/5 as a percent?

Answers

Answer:

3/5 as a percent is 60% hope that helps

help!!!! due now ( right answer's only)

Answers

Answer:

Minimum, Vertex(1,-7) and sorry what do you mean by aos? i dont get that please type in the comments I'll answer that too. Hope you understand the rest

Step-by-step explanation:

The vertex of a parabola means the stationary point/turning point which is denoted by the following:

[tex]x=\frac{-b}{2a} \\[/tex]

and for y we just simply put the value of x that we get into the equation so lets get started

The equation [tex]y=x^2-2x-6[/tex] is a quadratic equation

and if we compare it by the standard form [tex]y=ax^2+bx+c[/tex] we get the following values

a=1 , b=-2 , c=-6

and now for the vertex

[tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-(-2)}{2(1)} \\x=\frac{2}{2} \\x=1[/tex]

and now for y

[tex]y=x^2-2x-6\\y=(1)^2-2(1)-6\\y=1-2-6\\y=-7[/tex]

so the vertex is (1,-7)

and the graph is minimum not maximum because the value of a is greater than 0 if the value of a>0 then the graph is minimum and if the value of a<0 meaning a is negative the graph is maximum and here in the equation a=1 which means a>0 then our graph is minimum.

Answer:

hey we were talking in the comment section with someone else 16 min ago and that chat maxed out so he made another one and wants you to come back. Just letting you know.

Step-by-step explanation:

A 24-roll package of toilet paper is $14.88. If the price per roll stays the same, what would be the price of a ten-roll package?

Answers

Answer:

Step-by-step explanation:

1. What is 10% of 75?

Answers

Answer:

7.5

Step-by-step explanation:

i hope this helps!!

If you could travel back in time one year, what advice would you give yourself?
10 sentence required for the brainlleist if 2 people answer
1

Answers

Answer:

To keep my head up and focus on the good instead of the bad. To understand that life gets hard. I would remind myself that I'm worth it and I am a strong person. I would tell myself that whatever bad happens, something good will come out of it. To remind myself that all the bad I've been through is only making me a stronger person. And I would remind myself that everything happens for a reason, whether I see it now or I see it later on down the road. I would remind myself that it's never too late to change for the better. I would tell my self "you made it this far, your strong". And I would tell myself that I can do whatever I put my mind to. And that nothing is impossible.

Hope this helps :)

Step-by-step explanation:

If someone could travel back in time one year, the advice I would give myself would be to embrace change and adaptability. The world is constantly evolving, and it is important to stay open-minded and flexible in order to thrive.

I would encourage myself to be proactive in seeking opportunities for growth and learning, even if they seem daunting or unfamiliar at first. Additionally, I would remind myself to prioritize self-care and mental well-being. It is easy to get caught up in the hustle and bustle of daily life, but taking time for oneself is crucial.

Whether it be spending time in nature, practicing mindfulness, or pursuing hobbies and interests, nurturing my own happiness should be a priority. Lastly, I would advise myself not to dwell on past mistakes or missed opportunities.

Every setback is an opportunity for growth, and it is important to learn from these experiences rather than letting them define me. By adopting a positive mindset and focusing on the present moment, I can ensure that I make the most of every opportunity that comes my way.

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Find the product

(7+2u) (7-2u)

Options:

a) 49+4u

b) 49-4u(square root sign)

c) 4u(square root sign) - 49​

Answers

Answer:

b

Step-by-step explanation:

if you mean squared and not square root, then it would be b because if you factor it back out, you will get the original expression back because of the subtraction of perfect squares.

Answer:

          b)  [tex]\boxed{\bold{(7+2u)(7-2u)=49-4u^2}}[/tex]

Step-by-step explanation:

[tex](7+2u) (7-2u)=(7)(7)+(7)(-2u)+(2u)(7)+(2u)(-2u)=\\\\=49-14u+14u-4u^2=\ \underline{49-4u^2}[/tex]

Find two consecutive integers whose sum is eleven less than three times the smaller integer.

Answers

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11             The sum of the two is 11 less than 3 times the smaller

y=x+1                    Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11       Substitute x+1 for y

2x+1=3x-11            Combine like terms

2x+12=3x               Add 11 to both sides

12=x                      Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25                       Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it

Pleasssssse help meeeeee

Answers

Answer: [tex]x \geq 3[/tex]

The graph has a closed circle pointing to the right

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