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Advocard [28]
3 years ago
7

What is the 13 term of the geometric sequence whit this explicit formula an=3•(-2)(n-1)

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

12,288

Step-by-step explanation:

aₙ = 3 (-2)ⁿ⁻¹

a₁₃ = 3 (-2)¹³⁻¹

a₁₃ = 12,288

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9)
adoni [48]

Answer:

9 quarters

Step-by-step explanation:

Total cost of money in the coin bank = $3.55

Let the number of dimes be = d

Let the number of quarters be = q

Let the number of nickels be = n

Where:

1 quarter = $0.25

1 dime = $0.1

1 nickel = $0.05

Hence,

0.1(d) + 0.25(q) +0.05(n) = $3.55

In the question, we are told that:

The number of dimes is four less than the number of quarters, mathematically

d = q - 4

The number of nickels is seven more than the number of quarters, mathematically,

n = q + 7

From the question, we are ask to find q

0.1(d) + 0.25(q) +0.05(n) = $3.55

since d = q - 4

n = q + 7

We substitute

0.1(q - 4) +0.25( q )+ 0.05(q + 7) = $3.55

0.1(q - 4) +0.25( q )+ 0.05(q + 7) =$3.55

0.1q - 0.4 +0.25q + 0.05q + 0.35 = $3.55

Collect like terms

0.1q + 0.25q + 0.05q = 3.55 + 0.4 - 0.35

0.4q = 3.6

q = 3.6/0.4

q = 9

Therefore the number of quarters is 9.

6 0
3 years ago
A translation moves point X to X' using the rule (x,y) → (x-2, y + 1). If X' is (3,-4), what was the
Dimas [21]

Answer:

X' is (5,-5)

Step-by-step explanation:

Knowing that this is just a translation, we can reverse the (polarity?) of each equation, such as changing -5 to +5 to find the original answer.

With that in mind, we can add 2 to X, and -1 from Y, which puts us at, 5 on the X axis, and -5 on the Y axis.

3 0
3 years ago
Help me out please!!
Harrizon [31]

Answer:

(x+5)² + (y+2)² = 5²

Step-by-step explanation:

(x-p)² + (y-q)² = r²

3 0
3 years ago
In the figure, FM = 7x+20 and GM = 5x+100. What is GM ?
Brrunno [24]

Answer:

20,000

Step-by-step explanation:

7x+20 = 5x+100

2x = 80

x=40

5(40)+100=20,000

3 0
4 years ago
Find height of the cone
Fynjy0 [20]

Answer:

12 + 5 if not 12 * 5

Step-by-step explanation:

12 added to 5 =

13 + 4 =

14 + 3 =

15 + 2 =

16 + 1 =

17 + 0 =

17

and figure out the rest

4 0
3 years ago
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