<span>"Y is inversely proportional to the cube of x" translates to Y = kx</span>³ where k is unknown constant. We need to solve for k.
So we have Y = 3 and x = 2. Plug in and we get 3 = k2³ = 8k
So k = 3/8
Now we can solve for Y when x = 3
Y = (3/8)3³ = (3/8)27 = 81 / 8
Final answer: 81 / 8
Answer:
242.
Step-by-step explanation:
C = 0.03 x 2 − 8 x + 700
When the marginal cost = $522 we have:
522 = 0.03 x 2 − 8 x + 700
0.03x^2 - 8x + 700 - 522 = 0
0.03x^2 - 8x + 178 = 0
Using the quadratic formula:
x = [ -(-8) +/- sqrt( 64 - 4 * 0.03 * 178)] / 0.06
= 8 +/- sqrt42.64 / 0.06
= 242 players.
Answer:
48cm
Step-by-step explanation:
The perimeter of first shape is 36cm. There are 3 semi circle (curves).
Therefore,
3 curves of semicircle (arc length) = 36
1 curve of semicircle (arc length) = 36/3
= 12cm
In picture 2,
4 semicircles (They've mentioned that they used the same semicircle for the 2nd shape also)
So,
4×12 = 48cm
57.55 in base 10 equal in base 2 is 57.55₁₀ = 111001.10001100110₂
Base 10:
It refers the decimal number system.
A number system which uses digits from 0 to 9 to represent a number.
Base 2:
It refers the Binary number system.
A binary number is defined as a number that is expressed in the binary system or base 2 numeral system. It describes numeric values by two separate symbols; 1 (one) and 0 (zero).
Given,
The base 10 number = 57.55
Now we have to convert it into base 2,
So, the conversion will follow the following step in image 1.
Write the Remainders from bottom to top
So, 57₁₀=111001₂
For Decimal Numbers
Refer image 2,
Write the Integer part from top to bottom
55₁₀ = 10001100110₂
Therefore,
57.55₁₀ = 111001.10001100110₂
To know more about Base 10 to base 2 conversion here
brainly.com/question/13384891
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