All categories

3 years ago

1.

Mathematics

1 answer:

fenix001 [56]3 years ago

3 0

Answer:

r = 3/5

Step-by-step explanation:

S_∞ = a/(1 – r)

A geometric series has first term 2 and sum to infinity 5.

1)Find the common ratio.

= S_∞ = a/(1 – r)

5 = 2/1 - r

Cross Multiply

5(1 - r) = 2

5 - 5r = 2

5 - 2 = 5r

r = 5 - 2/5

r = 3/5

2)Find the sum of the first 10 terms of the series.

The sum of the first 10 terms =

You might be interested in

NO LINKS!! Please help me with this problem

iogann1982 [59]

${\qquad\qquad\huge\underline{{\sf Answer}}}$

The given figure shows a vertical hyperbola with its centre at origin, and as we observe the figure, we can conclude that :

Length of transverse axis is :

$\qquad \sf \dashrightarrow \: 2b = 12$

$\qquad \sf \dashrightarrow \: b = 6$

length of conjugate axis is :

$\qquad \sf \dashrightarrow \: 2a = 8$

$\qquad \sf \dashrightarrow \: a = 4$

Equation of hyperbola ~

$\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {b}^{2} } - \cfrac{ {x}^{2} }{ {a}^{2} } = 1$

plug in the values ~

$\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {6}^{2} } - \cfrac{ {x}^{2} }{ {4}^{2} } = 1$

$\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {36}^{} } - \cfrac{ {x}^{2} }{ {16}^{} } = 1$

5 0

1 year ago

Read 2 more answers

Solve

NISA [10]

Answer:

$r = 0.01$

Step-by-step explanation:

In order to find r we have to square both sides of the equation

$0.1 = \sqrt{r} \\ {0.1}^{2} = { \sqrt{r} }^{2}$

The *square root* sign cancels out the *squared* sign therefore:

${0.1}^{2} = r \\ 0.01 = r$

6 0

2 years ago

Álvaro tiene muchas mascotas en su casa, entre perros, gatos y ratones. Si un cuarto de sus animales son ratones y el número de

34kurt

Answer:

B- 1/4

Step-by-step explanation:

si un cuarto cuarto son ratones y dos otro cuartos con gatos el otro cuarto va hacer perros

4 0

3 years ago

Read 2 more answers

Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?

Sveta_85 [38]

$^{(1)}\ \ 4x^5-12x^4+6x=5x^3-2x\ \ ^{(2)}\\\\ \left\{\begin{array}{ccc}y=4x^5-12x^4+6x\ \ \ ^{(1)}\\y=5x^3-2x\ \ \ ^{(2)}\end{array}\right$

Answer: system nr 4.

7 0

3 years ago

What is the value of (1/8)^2, please help... ASAP

dmitriy555 [2]

That means 1/8 times itself 2 times so
1/8 times 1/8=(1 times 1)/(8 times 8)=1/64

3 0

3 years ago