Answer:
a. 8.4 ft³
b. 4.44 ft × 2.44 ft × 0.78 ft
Step-by-step explanation:
a. <em>Maximum volume
</em>
We are creating a box with dimensions
l = 6 – 2x
w = 4 – 2x
h = x
V = lwh = x(6 – 2x)(4 – 2x)
We must determine the value of x that makes V a maximum.
One way is to plot the function V = x(6 – 2x)(4 – 2x).
The maximum appears to be at about (0.78, 8.4).
Thus, the maximum volume is 8.4 ft³.
b.<em> Dimensions
</em>
l = 6 – 2 × 0.78 = 6 – 1.56 = 4.44 ft
w = 4 – 2 × 0.78 = 4 – 1.56 = 2.44 ft
h = 0.78 ft
The box with maximum volume has dimensions 4.44 ft × 2.44 ft × 0.78 ft.
Answer:
The coach's statement is not misleading because her average strikeouts is 7.
Where as the coach also tells that it is 7.
Step-by-step explanation:
The average is taken out by adding the observations and dividing by the total number of observations.
X`= ∑x/n where n is the number of observations.
Average = 7 + 14 + 6 + 4 +5 +6 /6
Average = 42/6= 7
The coach's statement is not misleading because her average strikeouts is 7.
Where as the coach also tells that it is 7.
Answer:
<h2>y = 1/5x + 4</h2>
Step-by-step explanation:
We need to find the equation of the line parallel to the given line. To do this, we first need to understand what parallel lines are.
Rule 1: Parallel lines are two lines that never cross.
Let's solve!
To solve, we need to know what the slope of the line should be as we are already given the point it should pass through. to do this, we need to use a rule.
Rule 2: The slopes of parallel lines are always the same.
Slope = change y / change x
-4 - -3 (-4 + 3) = -1
-5 - 0 = -5
Slope = 1/5
Now, we can construct our equation
y = mx + b
y = 1/5x + 4
Since none of the answers are this, I assume you meant perpendicular instead. In that case, the answer would be, since the slope would be an opposite inverse of the original line, -5x + 4.
I'm always happy to help :)
Answer:
the answer is rational
Step-by-step explanation:
if i am wrong i am very sorry but that is what i have learned so again if i'm wrong sorry
Answer:
200 ml
Step-by-step explanation:
It's proportions basically.
frst off, 2% of 100 ml is 2 ml, so the 100 ml solution has 2 ml of Minoxidil.
Eventually we want 6/100 to be the porportion. so the total is going to be 100 (from the initial 100 ml) plus however much is needed x. And we want the amount of Minoxidil to be 2 + 8 percent of x. so this gets us the equation
6/100 = (2 + .08x)/(100+x) Then we solve
(100 + x) 6/100 = 2 + .08x
(100 + x) 6 = 200 + 8x
600 + 6x = 200 + 8x
400 = 2x
x = 200
so they should add 200 ml
You can check too. there is 100 + 200 ml of solution total and 2 + 16 ml of Minoxidil so that's 18/300 = 6/100
