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yuradex [85]
2 years ago
6

1.)(-4)^-6(-4)^7 2.)(t^8)^23.)(5t^3)^-4Simplify the expressions?​

Mathematics
1 answer:
statuscvo [17]2 years ago
6 0

Answer:

1.  - 4

2.   t¹⁶

3.   <u>    1      </u>

      625t¹²

Step-by-step explanation:

1.   -4⁻⁶(-4)⁷

-16384/4096 = -4

2.   (t⁸)²

     t¹⁶

3.   (5t³)⁻⁴

<u>    1      </u>

625t¹²

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DaniilM [7]

Answer:

sum of the polynomials is 9 x^{3} - 4 x^{2} +3x

Step-by-step explanation:

Given polynomial is (7 x^3– 4 x^2) + (2 x^3 +3 x)

adding x^3 terms, now we get

(7+2)x^3-4 x^2+3 x

9 x^{3} - 4 x^2 +3 x

Therefore the sum of given polynomial is

9 x^3-4 x^2+3 x

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3 years ago
What is X minus Y is less than seven
tigry1 [53]

Answer:

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Step-by-step explanation:

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3 years ago
Factor 81z^4 - 16<br> Please answer asap
Oksanka [162]

81x%5E4-16 Start with the given expression.

%289x%5E2%29%5E2-16 Rewrite 81x%5E4 as %289x%5E2%29%5E2.

%289x%5E2%29%5E2-%284%29%5E2 Rewrite 16 as %284%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=9x%5E2 and B=4.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

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

 

9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

%283x%29%5E2-%282%29%5E2 Rewrite 4 as %282%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

So this shows us that 9x%5E2-4 factors to %283x%2B2%29%283x-2%29.

In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

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

Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

3 0
2 years ago
What is the surface area of the cylinder in terms of ? The diagram is not drawn to scale.
Delicious77 [7]

Answer:

SA = 748π in²

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>r</em> = 11 in

<em>h</em> = 23 in

<u>Step 2: Find Surface Area</u>

  1. Substitute in variables [Surface Area of a Cylinder Formula]:                       SA = 2π(11 in)(23 in) + 2π(11 in)²
  2. Evaluate exponents:                                                                                         SA = 2π(11 in)(23 in) + 2π(121 in²)
  3. Multiply:                                                                                                             SA = 506π in² + 242π in²
  4. Add:                                                                                                                   SA = 748π in²
7 0
2 years ago
I will offer brainalist + 10 points for correct answer (:
Cerrena [4.2K]

Answer:

D) complimentary

Step-by-step explanation:

complimentary angles add up to 90 degrees

8 0
3 years ago
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