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timurjin [86]
2 years ago
12

Find the 12th term of the geometric sequence 2, -8,32, ...

Mathematics
2 answers:
Sladkaya [172]2 years ago
8 0

Answer:

Step-by-step explanation:

hello :

the n-ieme term is : An=A1×r^(n-1)

A1 the first term       r : the common ratio

in this exercice : A1 =2       r = 32/-8=-8/2 = - 4         n = 12

A12=2×(-4)^(12-1) = -2×4^11     because :   ((-4)^(11)= - 4^11

Stells [14]2 years ago
7 0

Answer:

-8388607

Step-by-step explanation:

a = 2

r = -8/2 = -4

12th term = (2)×(-4)¹¹

= -8388608

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Tickets for the baseball games were $2.50 for general admission and 50 cents for kids. If there were six times as many general a
Makovka662 [10]
There was 3000 general admission tickets sold and 500 kid ticket sold.

How did I get this?

First, we need to see what information we have.
$2.50 = General admission tickets = (G)
 $0.50 = kids tickets =  (K)
There were 6x as many general admission tickets sold as kids. G = 6K

We need two equations:
G = 6K  
$2.50G + $.50K = $7750
Since, G = 6K we can substitute that into the 2nd equation.

2.50(6K) + .50K = 7750
Distribute 2.50 into the parenthesis

15K + .50K = 7750
combine like terms

15.50K = 7750
Divide both sides by 15.50, the left side will cancel out.

K = 7750/15.50
K = 500 tickets
So, 500 kid tickets were sold.

Plug K into our first equation (G = 6k)

G = 6*500
G = 3000 tickets

So, 3000 general admission tickets were sold,

Let's check this:

$2.50(3000 tickets) = $7500 (cost of general admission tickets)
$.50(500 tickets) = $250 (cost of general admission tickets)
$7500 + $250 = $7750 (total cost of tickets)




4 0
1 year ago
Which inequality represents this situation?
Veseljchak [2.6K]

Answer:

Option D. 1.29x + 1.35y ≤ 12

Step-by-step explanation:

Nick is making a fruit salad.

He buys apples per pound for = $1.29

He buys oranges per pound for = $1.35

He spend no more than $12.00 or we can say less than equal to $12

Let x represent the number of pounds of apples that Nick buys and y represent the number of pounds of oranges.

Cost of x pounds of apples = $1.29x

Cost of y pounds of oranges = $1.35y

Total cost = 1.29x + 1.35y

Total cost should be less than equal to $12.00

Therefore, inequality will be 1.29x + 1.35y ≤ 12

Option D. is the answer.

3 0
2 years ago
Read 2 more answers
Jane max and greg are splitting a 10 ounce bag of popcorn. If they share the popcorn equally how many ounces of popcorn will eac
Sauron [17]
Since it's 3 people splitting 10 oz, we get:
\frac{10}{3}

Which can then be simplified to a mixed fraction:
3 \frac{1}{3}

So, yes, you got it right! Good job!
5 0
2 years ago
Read 2 more answers
Given ƒ(x) = 8x + 25, find x when ƒ(x) = 9.<br> A) -2<br> B) -1<br> C) 0<br> D) 2
kkurt [141]
A)-2
9=8x+25
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X=-2
5 0
2 years ago
A gecko is in a room that is 12 feet long, 10 feet wide and 8 feet tall. The gecko is currently on a side wall ($10^{\prime}$ by
salantis [7]

Answer: The shortest is 22.4 feet

Step-by-step explanation: For the gecko to walk the shortest distance, it has to go straight from where it is to the celling, diagonally from the celling to the wall where the fly is and straight from the corner of the celling to where the fly is.

straight from where it is to the celling: 1 feet

diagonally from the celling to the wall where the fly:

it is a right triangle hipotenuse what we want, leg 12 and 8. (see picture attached): h² = 12² + 8²    h = √208   h = 14.4 feet

straight from the corner of the celling to where the fly is: 7 feet.

1 + 14.4 + 7 = 22.4

4 0
1 year ago
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