Answer:
See below ~
Step-by-step explanation:
<u>(a) Mean of the data</u>
- 2.4 + 1.6 + 3.2 + 0.3 + 1.5 / 5
- 9/5
- <u>1.8</u>
<u></u>
<u>(b) New mean after each data point increased by 10</u>
- 12.4 + 11.6 + 13.2 + 10.3 + 11.5 / 5
- 59/5
- <u>11.8</u>
<u></u>
<u>(c) New mean after each data point doubled [from (b)]</u>
- 24.8 + 23.2 + 26.4 + 20.6 + 23 / 5
- 118/5
- <u>23.6</u>
The ratio for this problem is 1:5.
If you are drawing 14 pentagons, you would do 14 x 5.
14 (pentagons) x 5 (line segments) = 70 line segments in total.
The answer is C) 70
Completing the square is done as follows:
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
<span>9x2 +54x = 7
</span>
2. Make sure that the coefficient of the x^2 term is 1.
<span>9(x2 + 6x) = 7
</span>
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
<span>9(x2 + 6x + 9) = 7 + 81
9(x+3)^2 = 88
</span>
Answer:
Step-by-step explanation:
Given
Required
Determine the mass of the vehicle
This question will be answered using Newton's second law
Substitute values for Force and Acceleration
Make Mass the subject
---- approximated
<em>Hence, the mass of the vehicle is 1867kg</em>
Answer:
8 Joule
Step-by-step explanation:
Mass of block = 2 kg
Displacement = x = 800 mm = 0.8 m
Spring constant = k = 25 N/m
Potential Energy of a spring
Work done = Difference in Potential Energy
Work Done = Δ P.E.
⇒P.E. = 0.5×25×0.8²
⇒P.E. = 8 Nm = 8 Joule
Here already the spring constant and displacement is given so the mass will not be used while calculating the potential energy.
