Answer:
B
Step-by-step explanation:
g(x) - h(x)
= 5x² - 10x + 9 - ( - 3x³ + 5x - 6) ← distribute parenthesis by - 1
= 5x² - 10x + 9 + 3x³ - 5x + 6 ← collect like terms
= 3x³ + 5x² - 15x + 15 → B
There are 100 cm in a meter so 16 cm is equal to 1600/48
Answer:
$38.40
Step-by-step explanation:
20% of $48 is 9.60
48- 9.60= 38.40
x = amount of 21% alloy
y = amount of 50% alloy
The metallurgist wants a combination weighing a total of 44 lb, so
x + y = 44
Each pound of either alloy contributes either 0.21 or 0.5 pound of titanium. The final product needs to be comprised of 37% titanium; weighing at 44 lb, this means it should contain 0.37 * 44 = 16.28 lb. So
0.21x + 0.5y = 16.28
From the first equation,
x + y = 44 ==> y = 44 - x
Substitute this into the second equation and solve for x:
0.21x + 0.5(44 - x) = 16.28
-0.29x = -5.72 ==> x = 19.72
Substitute this into the first equation to solve for y:
19.72 + y = 44 ==> y = 24.28
Volume of cone = (1/3)pi*r²h
56.52 = (1/3)*3.14*r²*6
56.52/(2*3.14) = r²
9 = r²
r² = 9
r = √9
r = 3
Diameter = 2*r = 2*3 = 6 inches
