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Len [333]
3 years ago
14

What is (2x+3) raised to the fifth power

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0
(2x + 3)⁵
(2x + 3)(2x + 3)(2x + 3)(2x + 3)(2x + 3)(2x + 3)
(2x(2x + 3) + 3(2x + 3))(2x(2x + 3) + 3(2x + 3)(2x + 3)
(2x(2x) + 2x(3) + 3(2x) + 3(3))(2x(2x) + 2x(3) + 3(2x) + 3(3))(2x + 3)
(4x² + 6x + 6x + 9)(4x² + 6x + 6x + 9)(2x + 3)
(4x² + 12x + 9)(4x² + 12x + 9)(2x + 3)
(4x²(4x² + 12x + 9) + 12x(4x² + 12x + 9) + 9(4x² + 12x + 9))(2x + 3)
(4x²(4x²) + 4x²(12x) + 4x²(9) + 12x(4x²) + 12x(12x) + 12x(9) + 9(4x²) + 9(12x) + 9(9))(2x + 3)
(16x⁴ + 48x³ + 36x² + 48x³ + 144x² + 108x + 36x² + 108x + 81)(2x + 3)
(16x⁴ + 48x³ + 48x³ + 36x² + 144x² + 36x² + 108x + 108x + 81)(2x + 3)
(16x⁴ + 96x³ + 216x² + 216x + 81)(2x + 3)
16x⁴(2x + 3) + 96x³(2x + 3) + 216x²(2x + 3) + 216x(2x + 3) + 81(2x + 3)
16x⁴(2x) + 16x⁴(3) + 96x³(2x) + 96x³(3) + 216x²(2x) + 216x²(3) + 216x(2x) + 216x(3) + 81(2x) + 81(3)
32x⁵ + 48x⁴ + 184x⁴ + 288x³ + 432x³ + 648x² + 432x² + 648x + 162x + 243
32x⁵ + 232x⁴ + 720x³ + 1080x² + 810x + 243
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A circle has a circumference of 138.16 meters. What is the diameter of the circle ?
Neporo4naja [7]
<span>circumference = 2 π r
138.16 = 2 π r
138.16/2π = 2π/2π r
21.98884694 =r
D</span><span>iameter = r X 2
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7 0
3 years ago
The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds wi
zhenek [66]

Answer: it will take 7 seconds

Step-by-step explanation: 9 x 7 = 63

5 0
3 years ago
5
Svetradugi [14.3K]

Answer:

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Step-by-step explanation:

Given sequence is:

-9, -2, 5, 12,...

Here the first number is f(1)

Common Difference:

Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.

In the given sequence,

f(1) = -9

f(2) = -2

f(3) = 5

d=f(2)-f(1) = -2-(-9) = -2+9 = 7\\d = f(3)-f(2) = 5-(-2) = 5+2 = 7

Hence,

The right answer is:

Option OB: f(1) = -9

Common difference: 7

7 0
2 years ago
Which number should she subtract from both sides of the equation?
bezimeni [28]
Where’s the problem where it explains what’s she is subtracting?
7 0
3 years ago
Let u=&lt;-5,1&gt;, v=&lt;7,-4&gt; find 9u-6v
katrin2010 [14]
9u -6v = 9&lt;-5, 1> -6&lt;7, -4>
.. = &lt;9*-5 -6*7, 9*1 -6*-4>
.. = &lt;-87, 33>
8 0
3 years ago
Read 2 more answers
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