3 years ago

What is the sum of the series?

1 answer:

8 0

4 + 12 + 36... etc
is a sum that can be rewritten in form

4 ( 1, 3, 9, 27, 81, etc) this can further be written in sigma notation:

4 Sigma [ 3 ^ ( i - 1)]

The sum of the indefinite summation will be the limit as i goes to infinity = infinity

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Maria solved the equation -5 1/8 n = -9 3/4. Here answer was n = 1 37/41. She is fairly confindent about her answer, but wants t

allochka39001 [22]

Answer:

Yes, she is correct.

Step-by-step explanation:

Given equation,

$-5\frac{1}{8}n = -9\frac{3}{4}$

$(-5-\frac{1}{8})n=-9-\frac{3}{4}$

$\frac{(-40-1)n}{8}=\frac{-36-3}{4}$

$-\frac{41}{8}n =-\frac{39}{4}$

$-41\times 4n = -39\times 8$

$\implies n =\frac{39\times 2}{41}=\frac{78}{41}=1\frac{37}{41}$

By estimation :

Since, 1/8 = 0.125 ≈ 0, while, 3/4 = 0.75 ≈ 1

⇒ $-5\frac{1}{8}\approx -5$

And, $-9\frac{3}{4}\approx -10$

$-5n = -10\implies n =\frac{-10}{-5}=2$

Since, $1\frac{37}{41}$ is near to 2.

Hence, she is correct.

4 0

3 years ago

2x + 4y = 1<br> 3x - 5y = 7<br> solve the simultaneous equations x

Norma-Jean [14]

Answer:

(x,y)=(3/2, -1/2)

Step-by-step explanation:

2x+4y=1 /*3

3x-5y=7 /*(-2)

6x+12y=3

-6x+10y=-14

...........................

/ 22y=-11

y= -11/22

y= -1/2

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

2x-2=1

+2 +2

2x=3

x=3/2

so the solutionis (x,y)=(3/2, -1/2)

7 0

3 years ago

Name three pairs of number that have 5 as their greatest common factor

MissTica

5 and 10

5 and 100

5 and 100 million

8 0

3 years ago

Read 2 more answers

A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?

rusak2 [61]

Answer:

C) 10 feet

Step-by-step explanation:

h² = 8² + 6² = 64 + 36 = 100

h = √100 = 10

5 0

3 years ago

point s has coordinates 2,5 if you rotate point s 90 degrees about the origin 0,0 what are the coordinates of s

Volgvan

The answer is 2,-5 you put the points are in the same spot just rotated

8 0

3 years ago