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Alexandra [31]
3 years ago
10

SOMEONE HELP !!!!!!!!!!

Mathematics
1 answer:
dybincka [34]3 years ago
5 0

Answer:

q^12

Step-by-step explanation:

To raise a power to a power you multiply the powers together. That would be 6*2=12.

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A recursive rule for a geometric sequence is a1=2; an= 4/9 an-1
Oxana [17]

A recursive rule for a geometric sequence:

a_1\\\\a_n=r\cdot a_{n-1}

---------------------------------------------------

a_1=2;\ a_n=\dfrac{4}{9}a_{n-1}\to r=\dfrac{4}{9}

---------------------------------------------------

The exciplit rule:

a_n=a_1r^{n-1}

Substitute:

a_n=2\left(\dfrac{4}{9}\right)^{n-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\left(\dfrac{4}{9}\right)^{-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\dfrac{9}{4}\\\\\boxed{a_n=\dfrac{9}{2}\cdot\left(\dfrac{4}{9}\right)^n}

3 0
3 years ago
Calculate the number in the middle of 11 and 24
lutik1710 [3]

Answer:

17.5

Step-by-step explanation:

11 +  24 = 35 /2

7 0
4 years ago
Read 2 more answers
What is 0.464646... as a fraction
rewona [7]

This is what I get


You have to place the decimal numbers over the power of 10.since its 6 places to the right will be 10^6(1000000).


464646/1000000


Now cancel common factors by factoring out 2.


232323/500000=0.464646

7 0
3 years ago
A mother is five times as old as her daughter. In 6 years, the mother will
docker41 [41]

Answer:

Mom=30 Daughter=6

Step-by-step explanation:

M=5×D

M+6=3×D

5D=3D-6

2D=6

D=12

M=12×3=36

Now: D=12-6=6

M=36-6=30

4 0
2 years ago
Read 2 more answers
Carlo wants to join gym.the total gym offers three options for the membership. Option1:pay as you go.pay only $6 each time You w
Ray Of Light [21]
The question is attached in the image.

1- Carlo thinks he will go to the gym 20 times this month. Calculate how much each of these options will cost Carlo for one month.
a- Pay as you go:
Total cost = 6 * 20 = $120
b- Regular deal:
Total cost = 50 + 2(20) = 50 + 40 = $90
c- All-in-one-price:
Total cost = $100
d- The least expensive for Carlo in this case would be the regular deal.

2- How many visits each month would make the cost of the Regular-Deal and the All-in-one the same?
Assume number of visits is x.
Regular deal = All in one
50 + 2x = 100
2x = 100 - 50
2x = 50
x = 25 visits

3a- It costs $300 to join the new Superfit Gym. You then pay $15 each month and $2 each time you work out. Carlo thinks he will use the gym 20 times each month for a year.
Calculate the cost of the Superfit gym for one year.
Total cost = initial payment + 15*number of month + 2*days of workout
initial payment = $300
15*number of months = 15 * 12 = $180
2*days of workout = 2*20*12 = $480
Total cost = 300 + 180 + 480 = $960

3b- How much will Carlo save during the first year if he uses the Superfit gym rather than the regular deal at the other gym?
First we will calculate the total cost of one year using the regular deal at the other gym as follows:
Total cost at other gym = monthly cost + cost of each workout
Total cost at other gym = 50(12) + 2(12)(20) = $1080
Then, we will calculate the difference to know the amount Carlo would save as follows:
Carlo would save = 1080 - 960 = $120

Hope this helps :)

7 0
3 years ago
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