2 years ago

Write each sum as a product of two factors for 6•7+3•7

Mathematics

1 answer:

lapo4ka [179]2 years ago

6 0

65 is the product of this

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The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.

adelina 88 [10]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

The sum of an infinite geometric series is expressed according to the formula;

$S_\infty = \dfrac{a}{1-r}$ where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as $S_\infty = 3a$

Substitute $S_\infty = 3a$ into the formula above to get the common ratio r;

$3a = \dfrac{a}{1-r} \\\\$

$cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\$

open the parenthesis

$3 - 3r = 1\\\\$

subtract 3 from both sides

$3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}$

<em>Hence the common ratio of this series is </em> $\frac{2}{3}$ <em></em>

3 0

2 years ago

4. Find MN help plzzzzz

sergij07 [2.7K]

Answer:

Step-by-step explanation:

6 0

2 years ago

If y = 4x3 + 4x and dx dt = 3, find dy dt when x = 2.

Eva8 [605]

Dy/dx = dy/dt / dx/dt

dy/dx = 12x^2 + 4

when x = 2 , dydx = 52

52 = dy/dt / 3

so dy/dt = 156 (answer)

7 0

3 years ago

Pamela took a total of 27 quizzes over the course of 9 weeks. After attending 10 weeks of school this quarter, how many quizzes

shepuryov [24]

Answer:

Step-by-step explanation:

27 diviend by 9 = 3 so 27 +3 = 30.

3 0

2 years ago

Square root of 8 + 12 is it rational o rational

IRISSAK [1]

Answer:

rational

Step-by-step explanation:

both 8 and 12 are rational and we are adding rationals number

5 0

3 years ago