If I start with the number 7 and count by 4s, the following sequence is obtained: 7, 11, 15, 19, 23, and so forth. A new sequence is formed when I start with a different number and count by a different number. Suppose the 2nd number of the new sequence is 8 and the 5th number is 17. What is the 10th number of the new sequence

Answers

Answer 1

Answer:

a₁₀ = 32

Step-by-step explanation:

the sequence is arithmetic since there is a count on , a common difference

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₂ = 8 and a₅ = 17 , then

a₁ + d = 8 → (1)

a₁ + 4d = 17 → (2)

subtract (1) from (2) term by term to eliminate a₁

3d = 9 ( divide both sides by 3 )

d = 3

substitute d = 3 into (1)

a₁ + 3 = 8 ( subtract 3 from both sides )

a₁ = 5

Then

a₁₀ = 5 + (9 × 3) = 5 + 27 = 32


Related Questions

Given the expression below, identify its factors.

3a + 4b– 7c - 12

Answers

Answer:

i dont think you can solve this because  

The expression is not factorable with rational numbers.

there are no like terms

3
Gürkan bisikletiyle birinci gün 3.1 km, ikinci gun 4.5 km ve puncu
gun 4.25 km yol almıştır Gürkan üç günde toplam kaç km yol aims
tir? Tahmin ediniz Tahmininizi işlem yaparak kontrol ediniz.

Answers

tahmin etmek için yuvarlama yapmak gerekir 3,1=3 4,5=5 4,25=4,20 hepsini toplarsak 12,20

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him. Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below. Let A AA be the event that Mark's little brother selects an outfit with black slacks and B BB be the event that he selects an outfit with a blue shirt. What is P ( A or B ) P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with black slacks or an outfit with a blue shirt? Shirt Slacks Tie Outfit 1 11 Blue Black Red Outfit 2 22 Blue Grey Red Outfit 3 33 White Black Red Outfit 4 44 White Grey Red Outfit 5 55 Black Black Red Outfit 6 66 Black Grey Red

Answers

Answer:

The answer is "[tex]\bold{\frac{2}{3}}[/tex]".

Step-by-step explanation:

Pick a shirt first: 3 choices

Pick slacks next: 2 choices

Then choose a tie: 1 choice

Total: [tex]3 \times 2 \times 1 = 6[/tex] outfits.

These will be similarly divided between the two slacks, so 3 black slack outfits of [tex]6 = \frac{1}{2}[/tex].  Similarly, the 6 styles are also divided between the option of 3 shirts. 2 blue shirt outfits [tex]6 = \frac{1}{3}[/tex]

To recognize that over outfits are a mix of a blue shirt and black slack, it would be twice many more to add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex]. Add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex], and remove the chance for both the black slack shirt and outfit and are one of the six outfits:

[tex]\to \frac{1}{2} + \frac{1}{3} -\frac{1}{6} =\frac{3+2-1}{6} =\frac{4}{6} = \frac{2}{3}[/tex]

What about the other way up the mountain though, this car park starts at 191m with a total ascent metres of 1,000(100 Contour lines). And the distance to the top is shorter at 4km. So leaving at 11am, what time would you be expected to get to the café with no breaks? Walking pace, 3km per hour.*

Answers

Answer:

3

Step-by-step explanation:

Evaluate the expression


[tex](3-1)^{3} +7(6)-5^{2}[/tex]

Answers

8 + 42 -25 = 50 - 25 = 25

Step-by-step explanation:

(3-1)³ = (3³-1³)

= 27-1

=26

7(6) = 42

5² = 25

(3-1)³ + 7(6) - 5² = 26 + 42 -25

= 43

O
What is the slope of the line passing through the points (4,-2) and (-5, 4)?

-3/2
-2/3
3/2
2/3

Answers

Answer:

B.) -⅔

Step-by-step explanation:

Subtract each variable

y¹-y

x¹-x

-2-4 = -6

4-(-5) = 9 -6/9 = -⅔

Classify the triangle 3 8 12

Answers

Scalene is the correct answer(Assuming you mean side lengths when you say 3, 8, 12.)Please let me know if I am wrong.

A recipe calls for 4 spoons of sugar for every 40g of flour if 240g of flour is used how much sugar would be needed​

Answers

Answer:

24 spoons of sugar

Step-by-step explanation:

240/40= 6

6x4= 24

p=

A. i
B. -1
C. -i
D. 1

Answers

Answer:

la respuesta es capó la B

Step-by-step explanation:

xeos para rellenar ti dirección para saber cómo está buenardo que la mujer de mi celular no puedo consultar con ningún compañero

what's
[tex](4 \sqrt{2} ) {}^{2} [/tex]

Answers

Answer:

32

Step-by-step explanation:

(4√2)^2=4^2×(√2)^2

=16×2

=32

please help and quick cause im giving a lot of points

Answers

Answer:   it might be C let me know if im wrong

Step-by-step explanation:

9. Which points are on the graph with the equation -6x + y = 6. Select all that apply.
A. (0,6)
B. (6,2)
C (-1,0)
D. (-2, 3)



Please answer

Answers

This would be your answer!

10 points possible. answer everything completely and I will mark brainliest

Answers

Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.

Step-by-step explanation:

hi help again lol :)​

Answers

Answer:

Please mark brainleiest

Step-by-step explanation:

Answer is B

Step-by-step explanation:

B if you divided all the y values by x you will get 0.9

Triangles are similar Find the value of x.
Please i need help Thank you in advanced ​

Answers

28 1/3

Step-by-step explanation:

The scale factor is 5/3

Multiply 17 by 5/3.

28 1/3

Answer:

x=28.33 or 28 1/3

Step-by-step explanation:

12/17=20/x

12x=340

x=28.33

PLEASE HELP ASAP, GIVING BRAINLIEST TO CORRECT ANSWER
The vertices of parallelogram ABCD are (2,4), B(0, 0), C(6,2), and D(8, 6). Find the coordinates of the intersection of the diagonals.

Answers

Answer:

I believe it would be 4,3 not sure though

Step-by-step explanation:

Answer:

The answer would be 4,3

Step-by-step explanation:

Graph the points on a graphing calculator, that should help when you need to find diagonals

Simplify (3xy3141x?). Use ^ when identifying your exponents
My solution is:
??

Answers

Answer:

3x^2y^3141

Step-by-step explanation:

you read 165 pages in 3 hours find the unit rate

Answers

Answer:

55 pages per hour

Step-by-step explanation:

You divide 165 by 3 = 55

Great now I need help with another math problem!! Someone pls help me!!

Answers

Answer:

option c.............

Answer:

option c............

Step-by-step explanation:

y = 4x

please help i dont know how to solve

Answers

Answer:

31°

Step-by-step explanation:

Angle KLN and Angle MLN equal 160° as said in the directions.

So 2y° + (3y + 5)° = 160° –– Combine like terms

5y + 5° = 160° ––Subtract 5 from both sides

5y° = 155° –– Divide both sides by 5 to get y alone

y = 31°

A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?

Answers

Answer:

hope it helped

have a nice day

The distance between the ground and the top of the slide is 2.4 meters.

Given:

The length of the slide is 4.1 meters.

The angle between slide and ground is 35 degrees.

To find:

The distance between the ground and the top of the slide.

Explanation:

Let [tex]x[/tex] be the distance between the ground and the top of the slide.

Using the given information draw a figure as shown below.

In the below figure,

[tex]\sin 35^\circ=\dfrac{x}{4.1}[/tex]

[tex]\sin 35^\circ\times 4.1=x[/tex]

[tex]2.35166...=x[/tex]

[tex]x\approx 2.4[/tex]

Therefore, the distance between the ground and the top of the slide is 2.4 meters.

Learn more:

https://brainly.com/question/10589442

Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?

Answers

Answer: 5 2/6

Step-by-step explanation:

Answer:

5 2/3

Step-by-step explanation:

3 1/3 + 2 1/3

10/3 + 7/3

= 17/3

= 5 2/3

I hope I helped!!

It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if you go by way of Baxter?​

Answers

[tex]42 \frac{1}{2} + 37 \frac{4}{5} [/tex]

[tex]42 \frac{5}{10} + 37 \frac{8}{10} [/tex]

[tex] \frac{5}{10} + \frac{8}{10} = \frac{13}{10} = 1 \frac{3}{10} [/tex]

[tex]79 + 1 \frac{3}{10} = 80 \frac{3}{10} [/tex]

[tex]80 \frac{3}{10} \: \:miles \: or \: 80.3 \: miles[/tex]

//

Just double check that I did the right calculations

Jon deposits $2000 into his account and pays at a rate of 4% per year. how much will he be paid in 3 years

Answers

He will be paid $5,760.
$2000*.04=80
80*3=240
2000*3=6000
6000-240=5760.
Hope this helps :)

the answer is 240

because 4% of 2000 is 80 so you just times 80 by 3 then you get 240

A sum of money is divided between Mohan and Sohan in the ratio 5:7 . If Sohan's share is ₹665, find the total amount.​
please help me fast.

Answers

Answer:

1140

Step-by-step explanation:

7u-> 665

1u->95

7+5=12

12u->1140

Please answer will give brainlyest! :D

Answers

Let's just ignore memorizing any formulas for perimeters of a rectangle and just remember this!!

The opposite sides are the same right? and there are 2 pairs? that's why we just need to find one side in each pair and multiply the sum of them by 2!

Here we already know what 2 of the sides are! Therefore we find the sum.

((5/4)x+3)+3x-2= (17/4)x+1

Then we need to multiply this sum by 2

((17/4)x+1)*2=(17/2)*x+2

*Note I left the result as a fraction not a mixed number because this is how you are suppose to write it in higher math but if your teacher wants you to convert it into a mixed number, then go ahead!

Hope this helped!!

Answer:

P = (8.5x + 2)

Step-by-step explanation:

Given

l = (5/4x + 3) and w = (3x - 2)

Find the perimeter

P = 2(l + w)P = 2(5/4x + 3 + 3x - 2) =       2(17/4x + 1) =       17/2x + 2 =        8.5x + 2

Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?

Answers

Answer:

Clara

Step-by-step explanation:

Can any one help me out

Answers

Answer: A

Step-by-step explanation:

Answer: (-7,3)

Step-by-step explanation:

A

bob has at least $5000 in savings. his savings balance is more than 3 times greater than his checking balance

Answers

Answer:

so then it to be 25000

Step-by-step explanation:

The answer would be 25000 because 5000 times 3 equals that.

Determine if the two triangles are congruent.

Answers

Answer:

sas

Step-by-step explanation:

vertical angle stuffs

I believe the answer is Side angle side ;)
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