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Serga [27]
3 years ago
14

5, 10.5, 22.05, 46.305, If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose "not g

eometric.
Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by  

2.1

gives the next term. In other words,  

a

n

=

a

1

⋅

r

n

−

1

.

Geometric Sequence:  

r

=

2.1

This is the form of a geometric sequence.

a

n

=

a

1

r

n

−

1

Substitute in the values of  

a

1

=

5

and  

r

=

2.1

.

a

n

=

(

5

)

⋅

(

2.1

)

n

−

1

Remove parentheses around  

2.1

.

a

n

=

5

⋅

2.1

n

−

1

Step-by-step explanation:


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Help this is really hard
Agata [3.3K]

(2^8 *3^-5* 6^0)^-2 * ((3^-2)/(2^3))^4 * 2^28

anything to the 0 power is 1

(2^8 *3^-5* 1)^-2 * ((3^-2)/(2^3))^4 * 2^28

using the power of power property to take the power inside

(2^(8*-2) *3^(-5* -2) * (3^-2*4)/(2^3*4) * 2^28

simplify

2^ -16 * 3^10 * 3^-8 /2*12   * 2^28

get rid of the division by making the exponent negative

2^-16 * 3^10 * 3^-8 *2*-12   * 2^28

combine exponents with like bases

2^(-16-12+28) * 3^(10-8)

2^(0) *3^2

anything to the 0 power is 1

1*9

9




5 0
2 years ago
Read 2 more answers
A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

5 0
2 years ago
Given that the measurement is in centimeters, find the area of the circle to the nearest tenth.(Use 3.14 for n) Radius is 3
olasank [31]
List the a b c d platform if you have it
5 0
3 years ago
Read 2 more answers
Possible my last brainliest if its right question idk may be more but this one is harsh for me
adelina 88 [10]
Correct Solution: He read 1.5 pages per minute.


Error Analysis: You should’ve divided 3 by 2 not 300. There are 300 pages in the book total. This information is irrelevant to the question. Cole reads 3 pages in two minutes. So you divide 3 by to to find out how many pages he reads per minute. 3/2=1.5
4 0
2 years ago
A circular piece of metal has a radius of 3.5 meters.
prisoha [69]
1) we calculate the area of the circular piece of metal.
area=πr²
area=π(3.5 m)²=12.25π m² ≈ 38.48 m²

2)we calculate the total cost of the circular piece of meta by the rule of three.

$3.25-------------------1 m²
x--------------------------38.48 m²

x=($3.25 * 38.48m²) / 1 m²=125.06$

Answer: 125.06$

We can also  calcultate the total cost of the ciucular piece of metal by the ratius.
Ratius=$3.25/1m²

Total cost=ratius * area of the circular piece of metal.
total cost=($3.25/ m²)*(38.48 m²)=$125.06

Answer: $125.06
4 0
3 years ago
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