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Luba_88 [7]
3 years ago
13

What’s the fifth term of a sequence whose first term is 5 and whose common ratio is 3?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0

Answer:

405.

Step-by-step explanation:

This is a geometric sequence where the nth term = a1 r^(n -1).

Here a1 = 5 and r = 3 so

the fifth term a5 = 5(3)^(5-1)

= 5 * 81

= 405.

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A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line
anzhelika [568]

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

V_L= 100 m^3/h * 3h=300\ m^3

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

V_R= 280 m^3/h * 3h=840\ m^3

To get the best estimate of the total volume, let us find the average of the two values, hence:

Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3

3 0
3 years ago
Whats equivalent to 11 to the 8th power over 11 to the 3rd power
arsen [322]
I did it wrong the first time  you're answer is b. 11*11^4
3 0
3 years ago
The college is selling tickets to the basketball ball game for $59.30 each.So far they have made $213,480 in ticket sales . How
Alex73 [517]

Answer:

<h2>3600</h2>

Step-by-step explanation:

Shift the decimals of both 213480 and 59.3 to the right by 2 decimal places. (This is needed to convert 59.3 to 5930, since long division must divide by a whole number.)

21348000÷5930

Therefore, 213480\div 59.3=3600213480÷59.3=3600.

3 0
3 years ago
Solve the equation for the indicated variable<br> x - 3y for y
Colt1911 [192]

Answer:y=x/3

Step-by-step explanation:

x-3y=0

or,x=3y

y=x/3

7 0
3 years ago
A landscaper receives a discount on each plant purchased. The original price of each plant is x dollars. The landscaper purchase
prisoha [69]

Answer:

$4

Step-by-step explanation:

Discount is a form of consideration in price or amount given to a customer on a sale of goods. It can be deduced from the question that;

The original price of each plant = $x

Number of plants purchased = 20

Price of the number of plants purchased without discount = $20x

Amount paid for the 20 plants with discount = $(20x - 80)

Thus,

The discount on the 20 plants = $80

Discount on each plant = \frac{total discount on plants}{number of plants purchased}

                                       = \frac{80}{20}

                                       = $4

Discount on each plant = $4

Therefore, each plant was discounted by $4.

7 0
2 years ago
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