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3 years ago

What is the answer to this 10−(4y−8)=2−5y

Mathematics

1 answer:

Harrizon [31]3 years ago

8 0

The answer to this math problem is y=-16

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Someeee one?????????????????

Ad libitum [116K]

Answer:

Option B) $a_{n} = 2\cdot 4^{n-1}$

Step-by-step explanation:

The given geometric sequence is

2, 8, 32, 128,....

The general form of a geometric sequence is given by

$a_{n} = a_{1}\cdot r^{n-1}$

Where n is the nth term that we want to find out.

a₁ is the first term in the geometric sequence that is 2

r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,

$r=\frac{8}{2} = 4$

You can try other consecutive numbers too, you will get the same common ratio

$r=\frac{32}{8} = 4$

$r=\frac{128}{32} = 4$

So the common ratio is 4 in this case.

Substitute the value of a₁ and r into the above general equation

$a_{n} = 2\cdot 4^{n-1}$

This is the general form of the given geometric sequence.

Therefore, the correct option is B

Note: Don't multiply the first term and common ratio otherwise you wont get correct results.

Verification:

$a_{n} = 2\cdot 4^{n-1}$

Lets find out the 2nd term

Substitute n = 2

$a_{2} = 2\cdot 4^{2-1} = 2\cdot 4^{1} = 2\cdot 4 = 8$

Lets find out the 3rd term

Substitute n = 3

$a_{3} = 2\cdot 4^{3-1} = 2\cdot 4^{2} = 2\cdot 16 = 32$

Lets find out the 4th term

Substitute n = 4

$a_{4} = 2\cdot 4^{4-1} = 2\cdot 4^{3} = 2\cdot 64 = 128$

Lets find out the 5th term

Substitute n = 5

$a_{5} = 2\cdot 4^{5-1} = 2\cdot 4^{4} = 2\cdot 256 = 512$

Hence, we are getting correct results!

6 0

3 years ago

What is the area of the shaded region below? 7 m 30 m 7 m 21 m

Rama09 [41]

Answer:

322.28

Step-by-step explanation:

Area of the rectangle

L = 30

W = 21

Area = 30 * 21

Area = 630

Area of the circles

Radius = 7 m

Area = pi r^2

Area = 3.14 * 7^2

Area = 153.86 m^2

Area of both circles = 307.72

Area of the Shaded Region

Area of shaded region = area of the rectangle - area of 2 circles.

Area of Shaded Region = 630 - 307.72

Area of Shaded Region = 322.28

5 0

3 years ago

Given m||n, find the value of x. t (x-3) m (8x+3)

Yuri [45]

Answer:

mtx(8x+3)-3mt(8x+3)

)Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A rectangle has area x^3+3x^2−18x\ in.^2

madam [21]

You can download answer here

tinyurl.com/wtjfavyw

3 0

3 years ago

6. A part time job offer has the following availability: 4 hours Monday through Wednesday, 5 hours Thursday, and 4 hours Friday.

Kruka [31]

Answer:

$97.50 per week and $2100

Step-by-step explanation:

1. The total number of hours worked for a week is 4 + 5 + 4 which is 13. 13 hours multiplied by $7.50 per hour is $97.50 per week.

2. If $350 is 1/6 of her total monthly pay then multiply $350 by 6 to get the monthly total pay. $350 * 6 = $2100

7 0

3 years ago