2 years ago

Please answer right.

Mathematics

1 answer:

boyakko [2]2 years ago

3 0

Answer:

The answer is A. Good Luck!

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Please help right away.

Travka [436]

$\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

$S=\dfrac{a_1}{1-r}$

We have:

$a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}$

substitute:

$S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504$

Answer: d. Converges, 504.

8 0

2 years ago

D. 40

solong [7]

Answer:

The correct answer is $12

Step-by-step explanation:

To check, subtract 12 from 31

31 - 12 =19

Multiply 19 by 2

19 x 2 =38

Add 12

38 + 12 =50

6 0

1 year ago

Which of the following is equivalent to (16 3/2)^1/2 ? O 6 O 8 O 12 O 64

Galina-37 [17]

Step-by-step explanation:

$= { ({16}^{ \frac{3}{2} } )}^{ \frac{1}{2} }$

$= { ({( {2}^{4}) }^{ \frac{3}{2} } )}^{ \frac{1}{2} }$

$= {2}^{4 \times \frac{3}{2} \times \frac{1}{2} }$

$= {2}^{ \frac{12}{4} }$

$= {2}^{3}$

$= 2 \times 2 \times 2$

$= 8$

The answer is B.

6 0

2 years ago

The lines graphed below are perpendicular. The slope of the red line is -2.

ASHA 777 [7]

Answer:

1/2

Step-by-step explanation:

opposite reciprocal

4 0

2 years ago

Please help as I'm confused / very tired so I can't think right now...

Masteriza [31]

Median is the middle number so it would be 250

8 0

3 years ago

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