Answer:
There would be 15 unsuccessful rolls
Step-by-step explanation:
Question 29 is A 2 and 30 is C 3
Answer:
Step-by-step explanation:
1). Coordinates of Art → (1, -5).
Coordinates of Library → (1, 9)
Coordinates of Science → (-5, -5)
Distance between Art and Library = 
= 
= 14 units
Distance between Art and Science = 
= 6 units
Since 14 > 6,
Art is closer to Science than Library.
Answer is False.
2). Coordinates of Cafeteria → (-7, 9)
True.
Answer:
4x³
Step-by-step explanation:
d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?
To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:
Let y = ln (x⁴ + 7)
Let u = (x⁴ + 7)
Therefore,
ln(x⁴ + 7) = ln u
Thus,
y = ln u
dy/du = 1/u
Next, we shall determine du/dx. This is illustrated below:
u = (x⁴ + 7)
du/dx = 4x³
Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:
dy/dx = dy/du × du/dx
dy/du = 1/u
du/dx = 4x³
dy/dx = 1/u × 4x³
But:
u = (x⁴ + 7)
Therefore,
dy/dx = 1/(x⁴ + 7) × 4x³
Thus, the missing expression is 4x³
Answer:
x = 44
Step-by-step explanation:
this is a proportion which you can solve by cross-multiplying:
6x = 24·11
6x = 264
x = 264/6
x = 44
