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

4r – 4s+ 4 = - 4
4r + s - 2t=5
- 3r - 3s - 41= -16
Help please

Answers

Answer:

r=-2.00000

s=2.00000

Is √3,600 rational? Or a perfect square

Answers

Answer:

Yes to both

Step-by-step explanation:

In pretty sure it’s rational

Which of these numbers is irrational? O A. - 5 9 O B. 1.618 C. 43 O D. VO​

Answers

Answer:

D) [tex]\sqrt{6}[/tex]

Irrational numbers are numbers that cannot be expressed in the form of p/q where q is not equal to zero.

Here is how to understand if a number irrational or not:

Irrational numbers will have decimal expansions which are non-terminating and non-recurring (no pattern or repetition o certain groups of numbers couldn't be observed and the decimal expansion will not ever end)

EXAMPLE: For non-recurring and non- terminating decimal expansions.

2.258755655554517144516517849616128478462131...................76.2879485165886225568656559781230414746108....................4987.251484561515484513184964989494555121266....................

In the above examples, it can be observed that all the decimal digits had no pattern and they will never end.

In this question, the answer is root 6. but it is not necessary that we have to find the decimal expansion, but we ccanfind it easily just by findinf if the given number is a perfect square or not.

EXAMPLE:

[tex]\sqrt{4}[/tex] is a rational number as 4 is a perfect square.[tex]\sqrt{100}[/tex] is a rational number as 100 is a perfect square.[tex]\sqrt{8}[/tex] is not a rational number as 8 is not a perfect square

Question !
Qa/ 4.2 - 1.5² +0.3 x0.7​

Answers

Step-by-step explanation:

8x+8−3(x+4)−7(2−x)

8x+8−(3x+12)−7(2−x)

8x+8−(3x+12)−(14−7x)

8x+8−3x−12−14+7x

(8x−3x+7x)+(8−12−14)

12x-18

A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge

Answers

Answer:

The length of the bridge is 300 feet.

Step-by-step explanation:

Let A represent the length of one leg.

Let B represent the length of the other leg (i.e length of the bridge)

Let C represent the length of the Hypothenus.

From the question given above, the following data were obtained:

Length of Hypothenus (C) = 340 feet.

Length of one leg (A) = 160 feet.

Length of the bridge (B) =.?

The length of the bridge can be obtained by using the pythagoras theory as illustrated below:

C² = A² + B²

340² = 160² + B²

115600 = 25600 + B²

Collect like terms

115600 – 25600 = B²

90000 = B²

Take the square root of both side

B = √90000

B = 300 feet

Therefore, the length of the bridge is 300 feet

PLEASE HELP!!! IF YOU GIT IT RIGHT I WILL GIVE YOU 90 BRANLY POINTS !!! Which of the following equations is not a proportion? 14/7 = 7/3.5, 1.5/3 = 3/9, 22/33 = 4/6, 2/3 = 142/213

Answers

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

Trevon and Castel are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of
daffodil bulbs. Trevon sold 10 packages of tulip bulbs and 14 bags of daffodil bulbs for a total of $402. Castel sold 11
packages of tulip bulbs and 4 bags odaffodil bulbs for a total of $237. Select the correct 2 equations and the cost of each
package of tulip bulbs and one bag of daffodil bulbs.

Answers

Answer:

Selection to make is C, D, E

Step-by-step explanation:

Let the cost of a package of tulip bulbs be $x while the cost of a package of daffodil bulbs be $y

10 tulip = $10x

14 bulbs = $14y

The addition of both gives a total $402

10x + 14y = 402 •••••••(i)

11 tulip = $11x

4 dudafodil = $4y

Total is 237

11x + 4y = 237 ••••••••(ii)

So let’s solve to get the value of x and y

10x + 14y = 402

11x + 4y = 237

Divide equation 1 by 2

5x + 7y = 201

11x + 4y = 237

Multiply equation 1 by 4 and 2 by 7

20x + 28y = 804

77x + 28y = 1659

Subtract i from ii

57x = 855

x = 855/57

x = 15

Recall;

5x + 7y = 201

5(15) + 7y = 201

75 + 7y = 201

7y = 201-75

7y = 126

y = 126/7

y = 18

Cost of tulip is $15, cost of daffodil is $18

(PLEASE HELP!) The probability of drawing a pink marble from a bag containing these marbles is 3/10.
If you replace the marble each time, predict how many times a pink marble will be chosen out of 100 draws.

Answers

Answer:

30

Step-by-step explanation:

The mean is equal to the number of trials times the probability.

x = (3/10) (100)

x = 30

We expect to draw a pink marble 30 times.

what is the factor of 2x2 - 5x - 12???
hurry up guyss pleaseee!

Answers

Step 1:

[tex]2 {x}^{2} - 5x - 12[/tex]

Step 2:

[tex]2 {x}^{2} - 8x + 3x - 12[/tex]

Step 3:

[tex]2x(x - 4) + 3(x - 4)[/tex]

Step 4:

[tex]\blue{(x - 4)(2x + 3)}[/tex]

what is 0.16 to 4 significant figures?​

Answers

Answer:

0.1600

Step-by-step explanation:

because it would round to the closest number which is 0.1600

Round 1,217 to the nearest thousand.

Answers

Answer:

1,000

Step-by-step explanation:

if it's past 1500 or in 1500 it would fall to 2000

but like it's less then 1,500 then it falls to 1000

hopefully it's right

write a system of linear inequalities represented by the graph​

Answers

The answer is number 3

4. A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter P of the triangle.​

Answers

Answer:dam I got the same thing

Step-by-step explanation:

By the way this Brandon

Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120

Answers

Answer:

-44120

Step-by-step explanation:

Geo has twice as many video games as Brianna has. Subtracting 7 from the number of video games. Geo has and dividing by 3 equals the number of video games Jamaal has. If Jamaal has 25 , how many video games does Brianna have

Answers

Answer:

41 games ( Brianna Has)

Geo has 82 because 25x25 equals 75 and 75+7 equals 82.

Answer:

Brianna Has  41 games  

Step-by-step explanation:

I just want to know the word please.​

Answers

the word is slope i believe

You want to build a small square patio out of one-foot square concrete slabs. Home Depot delivered 80 slabs to your home. Without cutting any of the slabs, what is the largest square patio you are able to build? Its dimensions will be feet by feet. Will you have any slabs left over? If so, how many? There will be slabs left over.

Answers

Answer:

Without cutting any of the slabs, what is the largest square patio you are able to build?

8 ft x 8 ft = 64 ft²

Will you have any slabs left over? If so, how many?

yes, I will have 16 slabs left over

Step-by-step explanation:

to find the largest square patio just calculate √80 = 8.94. Since you cannot cut the slabs, then the sides must be 8 x 8 = 64 slabs

if you had just one more slab, then you could have built a 9 by 9 square patio (√81 = 9)

Someone plz help with e and f I’ll mark as a brainliest

Answers

e: On e the 2 angles are the same degree so to find x, do 78+32 which equals 110; so x=110*

f: on f they are the same again so use this equation; 2h+44=126
subtract 44 from both sides
2h=82, then divide both sides by 2
h=41

Answer:

e.) 110 = x

f .) 41 = h

Step-by-step explanation:

e

*vertical angles are congruent

78=x-32

+32 +32

110 = x

f

* alternate exterior angles are congruent

126 = 2h + 44

-44 -44

82 = 2h (divide both sides by 2)

41 = h

PLEASE HELP AND QUICK!!!

Answers

Answer:

A

Step-by-step explanation:

dude trust me

A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.

Answers

Answer:d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15)

so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..

Step-by-step explanation:

Please please please please help

Answers

Answer:

y=1

Step-by-step explanation:

Answer:

y=1 I not the greatest at math but I am 100% sure this is correct. :)

Can someone please help me

Answers

3,0 is the answer for sure

To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water?

Answers

Final Answer: 18 lemons

Explanation:

8 x 3 = 24

In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.

6 x 3 = 18

Therefore, you need 18 lemons. :)

Let f(x) = 2x + 2. Evaluate for f(6)

Answers

Answer:

f

(

6

)

=

74

Explanation:

If  

f

(

x

)

=

2

x

2

+

2

then

XX

f

(

6

)

=

2

6

2

+

2

XXXXX

=

2

36

+

2

XXXXX

=

74

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

plug in 6

the rest is common sense

7w+7=-4+4w+23 what is this?

Answers

Answer: 7w+7=-4+4w+23 = W = 4

First you have to simplify the equations

7w+7= (4w) + (-4+23) 7w+7= 4w+19

Than you have to subtract the 4w (both equation)

7w+7-4w =4w = 4w + 19 - 4w = 3w+7= 19

And than you have to subtract the sevens

3w+7-7=19-7=3w=12

than divide by 3

3w/3 equals 12/3w=4

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!

How far can a cheetah run in 2 hours at a speed of 40 miles/hour?

Answers

eighty miles in 2 hours

the value X = −3 and Y = 6.
what would be the answer to this
4y−3x =

Answers

Answer:

15

Step-by-step explanation:

First we would want to plug the x value given -3 into x in the equation then we want to plug the y value given 6 in the equation then solve.

4(6) - 3(-3) = ?

4 x 6 = 24

-3 x -3 = 9

24 - 9 = 15

Hope this helps

pls answer for points

Answers

Answer:

Step-by-step explanation:

5/6 - (2/5 + 1/3)

25/30 - (12/30 + 10/30)

25/30 - 22/30 = 3/30 = 1/10

answer is b

What's the solution: 7x = 5x - 25 + 30

Answers

Answer:

[tex]x= \frac{5}{2}[/tex]

Step-by-step explanation:

1) First, Simplify 5x-25+30 to 5x+5.

7x = 5x + 5

2) You then Subtract 5x from both sides.

7x − 5x = 5

3) Simplify 7x-5x to 2x.

2x = 5

4) Lastly,  Divide both sides by 2.

[tex]x=\frac{5}{2}[/tex]

Decimal Form: 2.5

Answer:

X= 5/2

Step-by-step explanation:

7x=5x-25+30

_5x -5x

2x=-25+30

2x=5

/2. /2

x=5/2

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