Answer:

Step-by-step explanation:
Given
When mass = 4kg; Acceleration = 15m/s²
Required
Determine the acceleration when mass = 10kg, provided force is constant;
Represent mass with m and acceleration with a
The question says there's an inverse variation between acceleration and mass; This is represented as thus;

Convert variation to equality
; Where F is the constant of variation (Force)
Make F the subject of formula;

When mass = 4kg; Acceleration = 15m/s²


When mass = 10kg; Substitute 60 for Force



Divide both sides by 10


<em>Hence, the acceleration is </em>
<em />
Answer:
x=14
Step-by-step explanation:
Answer:
(29.14 ; 30.06)
Step-by-step explanation:
Given that'
Sample size (n) = 57
Mean (m) = 29.6
Population standard deviation (σ) = 2.7
Confidence interval = 80%
= (1 - 0.8) / 2 = 0.1
Mean ± z * σ/√n
Using the Z probability calculator : Z0. 1 = 1.28
Hence,
29.6 ± 1.28 * (2.7 / √57)
29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)
29.142241664 ; 30.057758336
(29.14 ; 30.06)
Answer:
The answer to your question is: x⁴ + 4x³ + 8x² + 8x - 5
Step-by-step explanation:
(x² + 2x - 1)(x² + 2x + 5) = x⁴ + 2x³ + 5x² + 2x³ + 4x² + 10x - x² - 2x - 5
= x⁴ + 4x³ + 8x² + 8x - 5