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:
The vertex is ( -4,1)
Step-by-step explanation:
The equation for a parabola can be written as
y = a( x-h)^2 +k where ( h,k) is the vertex
y = 2
(x + 4)² + 1
Rewriting
y = 2
(x - -4)² + 1
The vertex is ( -4,1)
Answer:
11
Step-by-step explanation:
Given that in a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16
i.e. the data entries are
10,10,10,10,10,16
Sum = 66
No of items n = 6
Average = sum/no of entries
=
Average is 11.
mean of this sample is 11
Answer:
y = -49
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-7 = y/7
<u>Step 2: Solve for </u><em><u>y</u></em>
- Multiply 7 on both sides: -49 = y
- Rewrite: y = -49
Answer:
2x-3y=-6
Step-by-step explanation:
