Answer: (3x−2)(4x−1)
Step-by-step explanation:
<em>Start factoring with -11x.</em>
12x^(2)-11x+2
12x2+(−8−3)x+2
12x2+(−8x−3x)+2
12x2−8x−3x+2
<em>Factor the highest common denominator of each group.</em>
<em>Group the first two terms and the last two.</em>
(12x2−8x)+(−3x+2)
<em>Factor the highest common denominator (MCD) of each group.</em>
<em>4x(3x−2)−(3x−2)</em>
<em>Factoring the highest common denominator 3x−2.</em>
(3x−2)(4x−1)
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
<h2>
Answer:</h2>
The radius of the cone is:

<h2>
Step-by-step explanation:</h2>
The total area of cone is given by:

where r is the radius of the cone and l is the slant height of the cone.
and the lateral area of cone is given by:

Hence, from equation (1) and (2) we have:

i.e.

i.e.

Answer:
70 people
Step-by-step explanation:
It literaly says it in the question.
Hey Gary!
The volume of a cylinder is PiR^2h, or 3.14(r^2)h.
Let's define our measures.
Pi is 3.14 (simplified). However, our answer is requested in terms of Pi.
Our radius is 5.
Our height is 14.
Let's plug in our numbers.
5^2 • 14 • Pi
5^2 = 25
25 • 14 = 350.
350Pi is our answer.
However, rememver that we need to end our answer in units cubed, as we are using a 3-dimensional figure. Our answer is 350Pi in^3.
Your answer is B.)
I hope this helps!