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AlexFokin [52]
3 years ago
10

Plss help i’ll give brainliest thank you!

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

The absolute value of -9 is less than 9 I'm pretty sure

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FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
Two cooling fans are installed in some laptop computers. Suppose the reliability of each cooling fan is 0.92. What percent impro
wlad13 [49]

Answer:

8%

Step-by-step explanation:

Given that:

Reliability of each = 0.92

r = 0.92

1 - (1 - r)(1 - r) = 1 - (0.08)(0.08) = 1 - 0.0064 = 0.9936

Percentage improvement :

1 - (0.9936) / r

1 - (0.9936 / 0.92)

1 - 1.08

= - 0.08

= 0.08 / 100 = 8%

5 0
3 years ago
Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1
taurus [48]

\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.

5 0
3 years ago
Jameson was 5 years old y years ago. How old will he be in z years?
romanna [79]
5+y+z I think x Something like that.
8 0
3 years ago
You are given the summer reading list for your English class. There are 88 books on the list. You decide you will read all 88. I
vladimir1956 [14]

Answer:

1.854826e+134

Step-by-step explanation:

To answer a question like this, you need to know that the factorial of a number is the multiplication of all the posible whole numbers from 0 to the original number. Thus, this problem can be solved calculating 88! (88 factorial) = 88 * 87 * 86 * 85 * 84 * … * 3 * 2 * 1, so the final answer is a very big number, 1.854826 * 10 ^134

8 0
3 years ago
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