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mart [117]
4 years ago
14

-2(-5+8x)+6=40-8x With steps please

Mathematics
1 answer:
melomori [17]4 years ago
3 0

Answer:

x=-3

Step-by-step explanation:

  1. -2 (-5+8x)+6=40-8x
  2. 10-16x+6=40-8x
  3. 16-16x=40-8x
  4. -16x+8x=40-16
  5. -8x=24
  6. x=-3
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Please answer soon I need this answer very quickly for math. Thank you!
Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

a_n=4n+5

<u>1. First 5 terms:</u>

For first 5 terms, we have to put n=1,2,...5,

So,

For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25

<u>2. Sum of first 25 terms:</u>

For that we have to find 25th term first

a_{25} = 4(25)+5\\=100+5\\=105

The formula for sum is:

S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425

<u>3. Type of sequence</u>

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

d=4

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3280369
  • brainly.com/question/7221312

#LearnwithBrainly

4 0
4 years ago
Find the cosine of the angle between the planes x+y+z=0 and 4x+3y+z=1.<br><br> Answer: cosθ=
marta [7]

The angle between the planes is the same as the angle between their normal vectors, which are

<em>n</em><em>₁</em> = ⟨1, 1, 1⟩

<em>n</em><em>₂</em> = ⟨4, 3, 1⟩

The angle <em>θ</em> between the vectors is such that

⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(<em>θ</em>)

Solve for cos(<em>θ</em>) :

4 + 3 + 1 = √(1² + 1² + 1²) √(4² + 3² + 1²) cos(<em>θ</em>)

8 = √3 √26 cos(<em>θ</em>)

cos(<em>θ</em>) = 8/√78

4 0
3 years ago
What is the product of the binomials below (2x+3)(3x+3)​
Serga [27]

Answer:

3 • (2x + 3) • (x + 1)

Step-by-step explanation:

4 0
4 years ago
Sam climbed 650 steps in 12 1/2 minutes. How many steps did Sam climb per minute
In-s [12.5K]

Answer:

52 steps per minute

Step-by-step explanation:

Just divide. 650 ÷ 12.5 =52

4 0
3 years ago
Marcella is switching to a new storage locker.
Sidana [21]

Answer:

54 cubic feet

Step-by-step explanation:

5 0
3 years ago
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