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tresset_1 [31]
3 years ago
11

List three ways to express 3^5 as a product of powers

Mathematics
1 answer:
eduard3 years ago
5 0
1st way- 3^2 * 3^3
2nd way- 3 * 3^4
3rd way- 3^0 * 3^5
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A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If
Allisa [31]

Answer:

21.8

Step-by-step explanation:

7 0
3 years ago
Suppose that X is a subset of Y. Let p be the proposition ‘x is an element ofX’ and let q be the proposition ‘x is an element of
Genrish500 [490]

Answer:

See answer below

Step-by-step explanation:

The statement ‘x is an element of Y \X’ means, by definition of set difference, that "x is and element of Y and x is not an element of X", WIth the propositions given, we can rewrite this as "p∧¬q". Let us prove the identities given using the definitions of intersection, union, difference and complement. We will prove them by showing that the sets in both sides of the equation have the same elements.

i) x∈AnB  if and only (if and only if means that both implications hold) x∈A and x∈B if and only if x∈A and x∉B^c (because B^c is the set of all elements that do not belong to X) if and only if x∈A\B^c. Then, if x∈AnB  then x∈A\B^c, and if x∈A\B^c then x∈AnB. Thus both sets are equal.

ii) (I will abbreviate "if and only if" as "iff")

x∈A∪(B\A) iff x∈A or x∈B\A iff x∈A or x∈B and x∉A iff x∈A or x∈B (this is because if x∈B and x∈A then x∈A, so no elements are lost when we forget about the condition x∉A) iff x∈A∪B.

iii) x∈A\(B U C) iff x∈A and x∉B∪C iff x∈A and x∉B and x∉C (if x∈B or x∈C then x∈B∪C thus we cannot have any of those two options). iff x∈A and x∉B and x∈A and x∉C iff x∈(A\B) and x∈(A\B) iff x∈ (A\B) n (A\C).

iv) x∈A\(B ∩ C) iff x∈A and x∉B∩C iff x∈A and x∉B or x∉C (if x∈B and x∈C then x∈B∩C thus one of these two must be false) iff x∈A and x∉B or x∈A and x∉C iff x∈(A\B) or x∈(A\B) iff x∈ (A\B) ∪ (A\C).

8 0
3 years ago
What is the exponent on the 10 when 81,000,000 is converted to scientific notation?
Norma-Jean [14]

Answer:

8.1 x 10^7 would be you answer.

5 0
3 years ago
Emma buys packets of coloured beads.
Black_prince [1.1K]

Answer:

5 purple beads

8 red beads

4 blue beads

Step-by-step explanation:

Find the common factor of 8 5 and 10

Which is 40

8 * 5 = 40

5 * 8 = 40

4 * 10 = 40

8 0
3 years ago
John shared 3 cookies with 4 friends. What fraction of a cookie did each friend receive?
Ann [662]

Answer:

3/4 of a cookie

Step-by-step explanation:

5 0
3 years ago
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