Lets use 1 to solve this problem because it is easiest to show.
Multiply 1 by 1.3 for a 30% increase (1*1.3=1.3).
Then multiply 1.3 by .7 for a 30% decrease. (1.3*.7=.91)
Therefore the page had a 9% reduction from its original size or is 91% of its original size.
Ok, so what we want to do here is first remove the repeating decimal.
x=2.16 repeating
10x=21.6 repeating
100x=216.6 repeating
Subtract 10x=21.6 repeating from 100x=216.6 repeating. This will get rid of the repeating numbers.
100x=216.6 repeating
-10x=21.6 repeating
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90x=195
Divide both sides by 90.
x=195/90
Now you can simplify that into 13/6.
Answer:
Niamh gets 12 and Jack gets 24.
Step-by-step explanation:
4:8 is equal to 1:2. 1 part + 2 parts is equal to 3 parts, which is equal to the whole. 36 is the whole, so 36/3 is equal to 12. 1 * 12 is equal to 12, and 2 * 12 is equal to 24.
Answer:
It would be D
Step-by-step explanation:
All the coordinates are divided by half.
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
