Spirogyra are NOT branched, whereas Cladophora are branched. Branched meaning that the filaments "come out" of each other. Spirogyra are long filaments with no protruding filaments.

cladophora

nitella

chorella

Algae.

there are 8 classifications of Thallophyta. these are:-

1. Phylum Myxomycophyta

2. Phylum Eumycophyta

3. Phylum Cyanohyta

4. Phylum Rhodophyta

5. Phylum Crysophyta

6. Phylum Phaeophyta

7. Phylum Euglenophyta

8. Phylum Cholorophyta

Cladophora is a multicellular green alga. It is made up of branching filaments that form a complex network, unlike single-celled algae which consist of individual cells.

Mark E. Monaco has written:

'Estuarine Living Marine Resources Project' -- subject(s): Estuarine animals

'The ecology and productivity of Cladophora glomerata in western Lake Erie' -- subject(s): Cladophora glomerata, Green algae

Similarities: they all belong to the kingdom Fungi and phylum chlorophyta Differences:they have different shapes. Chlamydomonas have eyespot

Spirogyra and Cladophora are both filamentous green algae with unbranched cylindrical cells. They both have a spiral arrangement of chloroplasts within their cells, giving them a green coloration. Additionally, both algae lack flagella for movement and reproduce through asexual reproduction.

Many algae contain organisms that have a sporophyte and a gametophyte stage. This is called metagenesis of alternation of generations and is a characteristic of Cladophora.

Fred J. Tanis has written:

'A remote sensing technique to monitor Cladophora in the Great Lakes' -- subject(s): Scanning systems, Algae, Remote sensing

In seedless vascular plants, such as ferns, both the sporophyte and gametophyte stages are free-living. The sporophyte is the dominant stage, while the gametophyte is usually a small, independent structure that produces gametes.

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 +

1

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152

50

10 x 10=100. Would you rather go like this: 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1=100?

64

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10

1 1 1 1 1 1 1 1 1 1 5 5 5

1 1 1 1 1 1 1 1 1 1 5 10

1 1 1 1 1 5 5 5 5

1 1 1 1 1 5 5 10

1 1 1 1 1 10 10

5 5 5 5 5

5 5 5 10

5 10 10

12 ways

1+1+1+1+1+1+1+1+1+1+1+1+1=13 3 divided by 10 = 30

I assume by "square numbers" you mean perfect squares.

You didn't say how many of each were allowed:

1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1²= 23

1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 2² = 23

1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 2² + 2² = 23

1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 3² = 23

1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 2² + 2² + 2² = 23

1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 1² + 2² + 3² = 23

1² + 1² + 1² + 1² + 1² + 1² + 1² + 2² + 2² + 2² + 2² = 23

1² + 1² + 1² + 1² + 1² + 1² + 1² + 4² = 23

1² + 1² + 1² + 1² + 1² + 3² + 3² = 23

1² + 1² + 1² + 2² + 2² + 2² + 2² + 2²= 23

1² + 1² + 1² + 2² + 4² = 23

-29

1 and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1

and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1

and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1

and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1 and 1

and 1 and 1 and 1 and 1 and 1 and 1.

Or

1.1 and 1.1 and 1.1 and 42.7

or an infinite number of other possibilities.

(-1)3 = (-1)(-1)(-1) = -1

(-1)3 = (-1)(-1)(-1) = -1

(-1)3 = (-1)(-1)(-1) = -1

(-1)3 = (-1)(-1)(-1) = -1

11111 x 11111 = 123454321

1 1 1 1 1

x 1 1 1 1 1

_______________

1 1 1 1 1

1 1 1 1 1

1 1 1 1 1

1 1 1 1 1

+ 1 1 1 1 1

_______________

1 2 3 4 5 4 3 2 1

[Legend: Each number represents the denomination (amount) of the coin.]

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 = 25

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+5 = 25

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+5+5 = 25

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+10 = 25

1+1+1+1+1+1+1+1+1+1+5+5+5 = 25

1+1+1+1+1+5+5+10 = 25

1+1+1+1+1+5+5+5+5 = 25

1+1+1+1+1+10+10 = 25

5+5+5+5+5 = 25

5+5+5+10 = 25

5+10+10 = 25

So the answer is 11!!!

I think you're missing 1+1+1+1+1+1+1+1+1+1+5+10 = 25 ?

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 is one example.

20

The answer is -1.

(1 + 1 x 1)/(1 - 1 x 1 -1) + 1 =

Follow the order of operations: parentheses/brackets, exponents, multiplication and division from left to right, and addition and subtraction from left to right.

Numerator:

Simplify 1 x 1 to 1.

(1 + 1)/(1 - 1 x 1 -1) + 1

Simplify 1 + 1 to 2.

2/(1 - 1 x 1 - 1) + 1

Denominator:

Simplify 1 x 1 to 1.

2/(1 - 1 - 1) + 1

Simplify 1 - 1 - 1 to -1.

2/(-1) +1

Simplify 2/(-1) to -2.

-2 +1

Simplify.

-1

11

There are infinitely many possible solutions. One of them is

1 + 1 + 1 + 1 + 1 + 1 +1 + 1 + 1 + 1 +

1 + 1 + 1 + 1 + 1 + 1 +1 + 1 + 1 + 1 +

1 + 1 + 1 + 1 + 12

1+1 is 2 and 1-1 is 0 and 1*1 is 1 and 1/1 is 1

23

One possibility:

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 x 0

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1x0=

They are -1 and +1.

They are -1 and +1.

They are -1 and +1.

They are -1 and +1.

1 quarter, 2 dimes, 2 nickels, and 45 pennies

1+2+2+45=50

25+10+10+5+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1=100

1 quarter, 2 dimes, 2 nickels, and 45 pennies.

1+2+2+45=50

25+10+10+5+5+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1

The reciprocal of 1 is 1.

Proof:

a. 1*(1/1) = 1 because a*(1/a) = 1

b. 1*1 =1 because 1*a = a

c. 1/1 = 1 compare a. and b.

1+1-1+1-1+1-1+1-1+1-1+1-1+1-1*0+2

1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 19

1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 12 1 11 1 1 1

There are infinitely many possible answers.

One such is 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+16

It is negative infinity.

A series if digits

1

There are infinitely many possible answers:

One possible answer:

-1 and - 1 and - 1 and - 1 and - 1 and - 1 and - 1 and - 1

that is (-1) + (-1) + (-1) + (-1) + (-1) + (-1) + (-1) + (-1)