Step-by-step explanation:
24-12x,and 2(12-6x)
hope it helps
<span>X -1 3 5
y 7 3 1 </span>
avgroc = ( 1 -7) / (5 - -1) = -6/6 = -1
First do 4.04 mil - 3.66 mil to get .38 mil (which is 380 thousand) then divide 380,000/10 to get answer J. 38,000. Hope this helped
Answer:

Exponential growth
Step-by-step explanation:
We can solve this differential equation by the separation of variables method.
We have that:

So

Integrating both sides

In which K is the value of y when t = 0.
We apply the exponential to both sides, so:

This is our exponential equation. Since the power of e is a positive value, the function represents exponential growth.
Answer:
- The shaded region is 9.83 cm²
Step-by-step explanation:
<em>Refer to attached diagram with added details.</em>
<h2>Given </h2>
Circle O with:
- OA = OB = OD - radius
- OC = OD = 2 cm
<h2>To find</h2>
<h2>Solution</h2>
Since r = OC + CD, the radius is 4 cm.
Consider right triangles OAC or OBC:
- They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.
Recall the property of 30°x60°x90° triangle:
- a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.
It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.
In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.
Area of <u>sector:</u>
- A = π(θ/360)r², where θ- central angle,
- A = π*((mAOC + mBOC)/360)*r²,
- A = π*((60 + 60)/360))(4²) = 16.76 cm².
Area of<u> triangle AO</u>B:
- A = (1/2)*OC*(AC + BC), AC = BC = OC√3 according to the property of 30x60x90 triangle.
- A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²
The shaded area is:
- A = 16.76 - 6.93 = 9.83 cm²