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Korvikt [17]
4 years ago
14

Consider the first six terms of this sequence 1,3,9,27,81,243

Mathematics
1 answer:
Eddi Din [679]4 years ago
6 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 3 gives the next term. In other words,

a_{n} =r^{n-1}

Geometric Sequence:

r=3

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A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank
Varvara68 [4.7K]

Answer:

2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : \pi 10^{2} = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2\pi10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = 2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

6 0
3 years ago
Rewrite in a form that does not use exponents
emmainna [20.7K]

Answer:

  \boxed{18}

Step-by-step explanation:

One of the rules of logarithms is ...

  log(a^b) = b·log(a)

So ...

6\log_5{x^3}=6(3\log_5{x})=\bf{18}\log_5{x}

4 0
4 years ago
A dolphin can swim up to 40 miles per hour.what is the speed in feet per hour?
zalisa [80]
In this question, the speed of the dolphin is already given, but the unit is different. The speed of the dolphin is given as 40 miles per hour and it has to be converted to feet per hour.
We already know that 1 mile = 5280 feet
Then
40 mile = 5280 * 40 feet
            = 211200 feet
So the speed in feet per hour will be 211200 feet per hour. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar problems without requiring any help from outside.
5 0
4 years ago
Can someone help me
MArishka [77]

Answer:

ok

Step-by-step explanation:

9+10=21

5 0
3 years ago
Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of th
umka2103 [35]

The expressions that represent number of tiles that Devon used on her mosaic:

A. 20 + 2t + 2c

D. 20 + t + t + c + c

<h3>What is an expression?</h3>

An expression refers to a mathematical equation which shows the relationship between two or more numerical quantities or variables.

For the expressions that represent number of tiles that Devon used on her mosaic:

  • Let the triangle tiles be t.
  • Let the circle tiles be c.
  • Two rows of t triangle tiles = t + t = 2t.
  • Two rows of c circle tiles = c + c = 2t.

Mathematically, the expression is given by:

Total tiles = 20 + t + t + c + c

Total tiles = 20 + 2t + 2c.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

Complete Question:

Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of the mosaic and 2 rows of c circle tiles at the bottom. She finished by putting 20 square tiles in between the triangle and circle tiles.

Pick all the expressions that represent how many tiles Devon used on her mosaic.

A. 20 + 2t + 2c

B. 20 + 4 ( t + c )

C. 2 ( 20 + t + c )

D. 20 + t + t + c + c

8 0
2 years ago
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