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mariarad [96]
3 years ago
15

3^-6x(3^3 divide 3^0)^2

Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

{3}^{2}

Step-by-step explanation:

3^{ - 6}  \times (3^4  \div  3^0)^2

\frac{1}{  {3}^{6} }  \times ( {3}^{4}  \div  {3}^{0}  {)}^{2}

\frac{1}{729}  \times ( {3}^{4}  \div  {3}^{0}  {)}^{2}

\frac{1}{729}  \times ( {3}^{4}  {)}^{2}

\frac{1}{729}  \times 6561

\frac{1}{729}  \times (729(9))

9

{3}^{2}

<h3>Hope it is helpful...</h3>
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3 years ago
Rewrite each of the following statements in the form "∀ _____ x, _____." (a) All dinosaurs are extinct. ∀ x, . (b) Every real nu
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Answer:

See below

Step-by-step explanation:

Essentially, we have to replace "quantifier words" like "All", "Every" by the universal quantifier ∀.

a) ∀ dinosaur x, x is extinct.

b) ∀ real number x, x is positive, negative, or zero.

c) ∀ irrational number x, x is not an integer.

d) ∀ logician x, x is not lazy.

e) ∀ integer x, x²≠ 2,147,581,953.

f)  ∀ real number x, x²≠ -1.

In a) and b) we replace the words without major changes. In the other statements, we modify the statement using negation. For example, "No irrational numbers are integers." is equivalent to "Every irrational number is not integer".

8 0
4 years ago
What is (16^-1/2 x^3/4)^2 simplified?
Hunter-Best [27]

Answer:x^6-16^2/ -64

Step-by-step explanation:


4 0
3 years ago
Hey!
noname [10]

Answer:

A. Cylinder + cone

<u>Volume is the sum of volumes:</u>

  • V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
  • V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³

<u>Surface area of cone:</u>

  • A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²

<u>Surface area of cylinder minus bases:</u>

  • A = 2πrh₂ = 2π*9*120 = 6785.8 cm²

<u>Total surface area:</u>

  • 678.6 + 6785.8 = 7464.4 cm²

-------------------------------------------------

B. Cube+ pyramid

<u>Volume:</u>

  • V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
  • V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³

<u>Surface area of pyramid:</u>

  • A = a² + 2al = 8² + 2*8*10 = 224 cm²

<u>Surface area of cube minus bases:</u>

  • A = 4a² = 4(8²) = 256 cm²

<u>Total surface area:</u>

  • A = 224 + 256 = 480 cm²
5 0
3 years ago
Factor completely 6x2 − 11x − 10. (6x 2)(x − 5) (6x − 2)(x 5) (3x 2)(2x − 5) (3x − 2)(2x 5).
madreJ [45]

Factors of the given expression are (2x-5) ,(3x+2)

The given expression is:

6x^2-11x-10

<h3>What is a factor?</h3>

A factor is a number that divides another number leaving no remainder.

we can split the middle term as,

6x^2-15x +4x-10\\

3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)

Therefore factors of the given expression are (2x-5) ,(3x+2)

To get more about factors visit:

brainly.com/question/9781037

6 0
2 years ago
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