Answer:
Radius = 21
Step-by-step explanation:
Volume of a sphere = 4/3 * pie * radius^3
12,348 pie = 4/3 * pie * radius ^3
12,348 = 4/3 * radius^3
(12,348 * 3)/ 4 = radius^3
9261 = radius^3
radius = ![\sqrt[3]{9261}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9261%7D)
radius = 21
Answer:
x =-2.1
Step-by-step explanation:
X/2+10=8.95
Subtract 10 from each side
X/2+10-10=8.95 -10
x/2 =-1.05
Multiply each side by 2
x/2*2 =-1.05*2
x =-2.1
Answer:
-4/3
Step-by-step explanation:
the formula for slope of a line is Y2-Y1
X2-X1
taking any two points from the table ,
(-1-3)÷(2-(-1))
-4/3
Answer:
250 batches of muffins and 0 waffles.
Step-by-step explanation:
-1
If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function
P = 2a + 1.5b
subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.
Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.
You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.
Answer:
Step-by-step explanation:
because it's an absolute value inequality, there are two inequalities to solve
3x+3 ≤ 9 and 3x+3 ≥ -9, now we solve them separately
x ≤ 3 and x ≥ -4, which is -4 ≤ x ≤ 3
