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3 years ago

What is the geometric sequence of 1/32, 1/8, 1/2, 2, 8

Mathematics

2 answers:

crimeas [40]3 years ago

6 0

The geometric sequence is multiplied by 4

erastovalidia [21]3 years ago

5 0

The formula for the nth term of a sequence with first term a1 and common ratio r is
an=a1(r)^(n-1)
r=a(n+1)/an

to find the common ratio, divide a term by the previous term
8/2=4
2/(1/2)=4
(1/2)/(1/8)=4
(1/8)/(1/32)=4
common ratio is 4
first erm is 1/32

an=(1/32)(4)^(n-1)

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3 question's for 60 points?

lakkis [162]

1.) Let their speed be x, then distance travelled = speed x time
1.5x + 2.5x = 240
4x = 240
x = 240/4 = 60
Their speed is 60 miles per hour.

2.) Let catie's brother's age be x, then catie's age is 3 + x
x + 3 + x ≤ 31
Required inequality is 2x + 3 ≤ 31
2x ≤ 31 - 3
2x ≤ 28
x ≤ 28/2
x ≤ 14

Therefore, the oldest age Catie's brother can be is 14 years old.

3.) Let June's age be x, then her father's age is 6x
6x + x ≥ 77
7x ≥ 77
x ≥ 77/7
x ≥ 11

The youngest age Julio can be is 11 years old.

3 0

3 years ago

On a coordinate plane, a circle has a center at (8, 9). Concentric circles are circles with the same center but different radii.

slega [8]

Answer:

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

If the circle has a center at (8,9), the equation for this circle is:

$(x-8)^2 + (y - 9)^2 = r^2$

All concentric circles have the same center, so their equations need to have the same left side of the equation above.

-> x2 + y2 = 25

This circle has a center at (0,0), so it's not concentric to our circle.

-> (x – 8)² + (y – 9)² = 3

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y – 9)² = 14

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y + 9)² = 3

This circle has a center at (8,-9), so it's not concentric to our circle.

-> (x + 8)² + (y + 9)² = 25

This circle has a center at (-8,-9), so it's not concentric to our circle.

-> (x + 9)² + (y + 8)² = 3

This circle has a center at (-8,-9), so it's not concentric to our circle.

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

3 0

3 years ago

Read 2 more answers

15 1/4 acres of land are to be divided into lots of at least 2/3 acres each What is the maximum number of lots that can be creat

Sholpan [36]

Well, if you want the maximum number of splits, then you want to make
each individual split as small as possible.
That's 2/3 acre. How many will that give you ?

(15 and 1/4) divided by (2/3)

= (15.25) / (0.666...) = 22.875 pieces .

The maximum number of 2/3-acre lots you can sell is 22 lots.

Then you have 58.3% of an acre of land left over that you can't sell
because it's less than 2/3 acre. Sadly, that 58.3% of an acre is just
about the size of the lot that I've been living n for almost 30 years.
You really know how to rub it in, dontcha !

5 0

3 years ago

Read 2 more answers

For the noon meal today she ate 1/2 of a 3-ounce serving of meatloaf, 3/4 of her 3-ounce serving of mashed potatoes, and 1/3 of

Leya [2.2K]

4.41 ounces. 1.5 +2.25 + .66=4.41. You just multiply the faction by the number and add it all up.

3 0

3 years ago

In an arithmetic sequence {an}, if a1 = 5 and d = 3, find a72. A) 216 B) 218 C) 221 D) 223

Phoenix [80]

The arithmetic sequence with the given condition is determined recursively by

$\begin{cases}a_1=5\\a_n=a_{n-1}+3&\text{for }n>1\end{cases}$