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cricket20 [7]
3 years ago
6

What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3? Express your answer as an improper fracti

on in lowest terms without using spaces.
Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

Answer:

  242/27

Step-by-step explanation:

Using the formula for the sum, you can fill in the given values and do the arithmetic.

  Sn = a1·(r^n -1)/(r -1)

  S5 = 6·((1/3)^5 -1)/(1/3 -1) = 6(-242/243)/(-2/3) = 6·(121/81)

  S5 = 242/27

_____

Or, you can write the terms and add them up. The sum is ...

  6 + 2 + 2/3 + 2/9 + 2/27 = (162 +54 +18 +6 +2)/27 = 242/27

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harina [27]

Answer:

2 hours, 9 minutes (and 19 seconds if u wanna be exact)

Step-by-step explanation:

4 0
3 years ago
Identify the equations as parallel lines, perpendicular lines, or neither.
Alex

Answer:

B. Parallel

Step-by-step explanation:

Equation 1 simplified:   y = 3x+7

Equation 2 simplified: y = -x/3-3

The slopes are completely different, ruling out the possibility of the lines being parallel.

But we also see the slopes of the equations are opposite and negative to each other. Making the lines perpendicular.

4 0
3 years ago
Read 2 more answers
If all city buses carry the same number of passengers, what is the least number of buses needed to carry 710 passengers? 5 10 11
noname [10]

The least number of buses needed to carry 710 passengers is 5.

Option A)5 is the correct answer.

<h3>What is the least number of buses needed to carry 710 passengers? </h3>

Given that;

  • Number of passengers n = 710
  • Least number of buses need B = ?

To get the least number of buses, we say;

Number of buses B = 710 ÷ 150

Number of buses B = 4.7 ≈ 5

The least number of buses needed to carry 710 passengers is 5.

Option A)5 is the correct answer.

Learn to solve more word problems here: brainly.com/question/2610134

#SPJ4

5 0
2 years ago
Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).  

2x^{4} +x^{2}-10x-1 = P(x)   divided by   (x+2)

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e.  (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

2(-2)^{4}+(-2)^{2}-10(-2)-1

= 2(16) + 4 +20 -1

= 32 +4 + 20 - 1

= 55 = Remainder

Hence, Remainder is 55.

8 0
3 years ago
What The results of this equations.?
Otrada [13]
A.9×6x - ( 9×2)=
64x-18 = 0
64x=18
x=18/64 =1/3 =0.3
B. 64x+18=0
64x= -18
x =-18/64
x= -1/3
x = -0.3
6 0
3 years ago
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