The mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
The mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).
M ∝ L³
After removing proportional sign
M = cL³
Plug M = 50 kg and L = 70 cm = 0.7 m
50 = c(0.7)³
c = 145.77 kg/m³
If L = 0.9 m, then M
M = (145.77 kg/m³)(0.9 m)³
M = 106.266 ≈ 106.27 kg
Thus, the mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).
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Answer:
1. x= 20/3 or 6.6666 repeating
2. x=3
3. a=39
Step-by-step explanation:
1. subtract 25 by 5 to get 20, then divide 20 by 3 to get x
2. divide 7 by 21 to get x
3. add 8 to 31 to get a equals 39
It would take 21 months for her to have exactly 1250
Answer:
7 - 3 i
Step-by-step explanation:
Simplifying
(3 + -2i) + (4 + -5i) = 0
Remove parenthesis around (3 + -2i)
3 + -2i + (4 + -5i) = 0
Remove parenthesis around (4 + -5i)
3 + -2i + 4 + -5i = 0
Reorder the terms:
3 + 4 + -2i + -5i = 0
Combine like terms: 3 + 4 = 7
7 + -2i + -5i = 0
Combine like terms: -2i + -5i = -7i
7 + -7i = 0
Solving
7 + -7i = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -7i = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -7i = 0 + -7
-7i = 0 + -7
Combine like terms: 0 + -7 = -7
-7i = -7
Divide each side by '-7'.
i = 1
Simplifying
i = 1
Because this equation is an absolute value, it can turn into two different equations:
3x - 2 = 7
3x - 2 = -7
3x = 9
3x = -5
x = 3
x = -5/3
The solution set is {3, -5/3}, Option C.
