Step-by-step explanation:
f(x) = 2x
g(x) = x² + 8
(f × g)(x) = f(x) × g(x)
= 2x(x² + 8)
= 2x.x² + 2x. 8
= 2x³ + 16x
(f×g)(x) = 2x³ + 16x
We have to calculate the height of a cylinder : h2 = ( 45 - 2 · 15 )/ 2 = 15 / 2 = 7.5 mm
Volume of the bottom of the hourglass:V = 1/3 r² π h1 + r² π h2 = = 1/3 · 6² · 3.14 · 15 + 6² · 3.14 · 7.5 = = 1/3 · 36 · 3.14 · 15 + 36 · 3.14 · 7.5 = = 565.2 + 847.8 = 1,413 mm³The rate is 10 π mm³/ sec = 31.4 mm³/secTime = 1,413 : 31.4 = 45 sec.Answer: It will take 45 seconds.
500 times 0.04 (4%) to find out how much she will earn in a year
500 times 0.04 is 20
Thus, she will earn 20 per year
now 20 times 30 years is 600.
Finally 600 + 500 is 1100. which means she would have 1100 dollars after 30 years
Answer:
x = 4
Step-by-step explanation:
Given
2(3x - 5) = 2x + 6 ( divide both sides by 2 )
3x - 5 = x + 3 ( subtract x from both sides )
2x - 5 = 3 ( add 5 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
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