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Oxana [17]
3 years ago
10

What is the next number in pattern from 2,9,28,65

Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer:

126

Step-by-step explanation:

2=1³+1

9=2³+1

28=3³+1

65=4³+1

=>5³+1=126

The rule is: n³+1

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The total revenue for dante's villas is given as the function r(x)=300x−0.2x2, where x is the number of rooms filled. What numbe
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r(x)=300x-0.2x^2 ,where x is the number of rooms filled

Now, differentiating the function w.r.t. x,we get

r'(x)=300-0.4x

To find critical points ,Put r'(x)=0

\Rightarrow300-0.4x=0\\\Rightarrow0.4x=300\\\Rightarrow x=750\\\text{Now}\\r"(x)=-0.4


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The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested. (a) What is
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Solve the inequality for x<br> 3^(6x+18)&lt;27^(3x)
Lera25 [3.4K]

Answer:

\displaystyle x > 6

General Formulas and Concepts:

<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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

<u>Algebra II</u>

  • Exponential Rule [Powering]: \displaystyle (b^m)^n = b^{m \cdot n}
  • Solving exponential equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle 3^{6x + 18} < 27^{3x}<em />

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Rewrite:                                                                                                             \displaystyle 3^{6x + 18} < 3^{3(3x)}
  2. Set:                                                                                                                     \displaystyle 6x + 18 < 3(3x)
  3. Factor:                                                                                                               \displaystyle 3(2x + 6) < 3(3x)
  4. [Division Property of Equality] Divide 3 on both sides:                                  \displaystyle 2x + 6 < 3x
  5. [Subtraction Property of Equality] Subtract 3x on both sides:                       \displaystyle -x + 6 < 0
  6. [Subtraction Property of Equality] Subtract 6 on both sides:                        \displaystyle -x < -6
  7. [Division Property of Equality] Divide -1 on both sides:                                 \displaystyle x > 6
8 0
3 years ago
Read 2 more answers
20 POINTS
sergey [27]

Solve. Note the equal sign. What you do to one side, you do to the other. Remember to follow PEMDAS.

First, distribute 5 to all terms within the parenthesis

5(w - 1) = (5)(w) + (5)(-1) = 5w - 5

Next, simplify. Combine like terms

5w - 5 - 2 = 5w + 7

5w - 7 = 5w + 7

Next, isolate the variable. Add 7 to both sides, and subtract 5w from both sides

5w (-5w) - 7 (+7) = 5w (-5w) + 7 (+7)

5w - 5w = 7 + 7

0 = 14 (Untrue).

0 solutions, or (A) is your answer

~<em>Rise Above the Ordinary</em>

5 0
2 years ago
Read 2 more answers
What is each expression written using each base only once? (-4)^-6*(-4)^7
andreyandreev [35.5K]
(-4)^-6*(-4)^7 = (-4)^1 = -4

answer a. -4
6 0
2 years ago
Read 2 more answers
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