Answer:
Vertical stretching by a factor of 12, followed by upward translation of 2 units.
Step-by-step explanation:
Let's assume you're starting with f(x), the parent function.
Multiplying f(x) by 12 will stretch the graph vertically by a factor of 12. A point (1,1) on the graph of f(x) will re-appear as (1,12) after this vertical stretching. Once you've done that, translate the entire graph upward by 2 units.
Answer:
I believe the answer is 36.
One million = 1000000
Twelve thousand = 12000
Sixty = 60
One million, twelve thousand and sixty = 1 012 060
Standard form is given by A × 10ⁿ
Where A is a number in unit and 'n' is an integer
1 012 060 = 1.012060 × 10⁶
Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
Answer:
Answer to B - 20
480 + 96 = 600
Step-by-step explanation:
12 x 40 = 480
5 x 4 = 20