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lbvjy [14]
3 years ago
8

Simplify (3x^5)^2 please !!

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer:

9x^{10}

Step-by-step explanation:

(x^a)^b=x^{ab}

so

(3x^5)^2=9x^{10}

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The average cost per unit for the production of a certain brand of DVD is given by C=\frac{500+60c+0.01x^2}{x} , where x is the
Ganezh [65]

Answer:

  A: for 500: 66; for 60: 68.9; for 100: 66

  B: no

Step-by-step explanation:

We assume your average cost function is ...

  \overline{C}=\dfrac{0.01x^2+60x+500}{x}

A. The overline over the C indicates it is an average value.

Evaluating the cost function at the different production levels, we find the average cost per unit to be ...

<u>500 units</u>

  c = ((0.01·500)+60)500 +500)/500 = 65 +1 = 66

<u>60 units</u>

  c = ((0.01·60 +60)·60 +500)/60 = 60.6 +500/60 ≈ 68.93

<u>100 units</u>

  c = ((0.01·100 +60)·100 +500)/100 = 61 +5 = 66

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B. Dividing out the fraction, we find that the cost per unit is ...

  0.01x +60 +500/x

As x gets large, this approaches the linear function c = 0.01x +60. This <em>increases</em> as the number of units produced rises. (The minimum average cost is at a production level of about 224 units.)

7 0
4 years ago
Which of the following is equivalent to (mn)³?<br><br>a. 3mn<br>b. m³n<br>c. mn³<br>d. m³n³
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Answer:

Step-by-step explanation:

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4 0
3 years ago
Degree and Radian Measures
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Answer:

B. π/3

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Find the surface area of composite figures
Aleonysh [2.5K]

  • Answer:

<em>429 cm²</em>

  • Step-by-step explanation:

<em>A(blue) =</em>

<em>= 2×6cm×10cm + 2×6cm×8cm + 8cm×10cm + (8cm×10cm - 5cm×4cm)</em>

<em>= 120cm² + 96cm² + 80cm² + 60cm²</em>

<em>= 356 cm²</em>

<em>A(green) =</em>

<em>= 4cm×5cm + 2×5cm×5cm/2 + 4cm×7cm</em>

<em>= 20cm² + 25cm² + 28cm²</em>

<em>= 73 cm²</em>

<em>A(total) =</em>

<em>= A(blue) + A(green)</em>

<em>= 356 cm² + 73 cm²</em>

<em>= 429 cm²</em>

6 0
4 years ago
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