Answer:
-1/8
Step-by-step explanation:
Perpendicular slopes are negative reciprocals
The slope of y=8x+5 is 8, because it is in slope intercept form: y=mx+b form, where m is the slope.
Negative:
8/1--> -8/1
Reciprocal:
Flip the numerator and denominator
-8/1--> -1/8
So, the perpendicular slope of 8 is -1/8
I'm guessing 20° but I'm not exact on it
Answer:
$1954
Step-by-step explanation:
Given the profit function expressed as;
y=-3x^2 + 197x –
1279
The profit is at maximum when dy/dx = 0
dy/dx = -6x + 197
0 = -6x+197
6x = 197
x = 197/6
x = 32.83
substitute 32.83 into the modeled function
y=-3x^2 + 197x –
1279
y -3(32.83)²+197(32.83) - 1279
y = -3(1,078.03)+6,467.51 - 1279
y = -3,234.09+6,467.51-1279
y = 1,954.42
hence the maximum amount of profit the company can make, to the nearest dollar is $1954
Answer:
Amount left in bag one = 20kg
Amount left in bag 2 = 40 kg
Step-by-step explanation:
We are told that Two bags had 50 kilograms of sugar each.
Let first bag be x and second bag be y.
Now, we are told that After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two.
Thus, amount taken from bag one is;
3a and amount taken from bag two is a.
Amount left in bag 1 is;
50 - 3a while amount left in bag 2 is 50 - a.
Since bag one had half as much sugar left as bag two, then;
50 - 3a = ½(50 - a)
50 - 3a = 25 - 0.5a
50 - 25 = 3a - 0.5a
25 = 2.5a
a = 25/2.5
a = 10
Thus;
Amount left in bag 1 = 50 - 3a = 50 - 3(10) = 50 - 30 = 20 kg.
Amount left in bag 2 = 50 - a = 50 - 10 = 40 kg
Answer:
The answer is the one in middle
Step-by-step explanation:
The answer should be 5/36 , not 25/6
