<h2>Hello There today we will solve your problem,</h2>
I will just give your straight forward answers to solve this
- 4(x+3)=52 1. Given
- 4x+12=52 2. Distributive Property
- 4x=40 3. Subtraction Property
- x=10 4. Division Property
So exponenetial growth or decay
it goes like this
f(t)=P(1+r)^t
r=rate of decay or grouth
if r>0 then it is grouth by r
if r<0 then it is decay
i
P=initial amount
so
given
f(x)=5500(1.65)^t
f(x)=5500(1+0.65)^t
0.65>0 so it is growing by 65%
Answer:
<em>Part 1: </em><em />
<em>Part 2: There are 24 people infected</em>
<em>Part 3: P(48)=50,331,648</em>
<em>More than 50 million people are infected after 2 days</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P(t) is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We know the Zika virus started with Po=3 people infected. The number of people infected doubles every 2 hours, which means that for t=2 hours, P(2)=6, thus:
Dividing by 3:
Solving for 1+r:
1+r=1.4142
Part 1:
The equation to model the situation is:
Part 2:
After t=6 hours:
P(6)=24
There are 24 people infected
Part 3:
After 2 days, t=2*24 = 48 hours:
P(48)=50,331,648
More than 50 million people are infected after 2 days
1) <span>Pairs A(2, 5), B(6, 5), and C(6, 1)
point D
Dx=Cx-(Bx-Ax)=(6-(6-2))=2
Dy=Cy=1
</span>the coordinates of vertex D is (2,1)
2) Pairs <span>A(2, 3), B(7, 3), and C(7, -2)
</span>point D
Dx=Cx-(Bx-Ax)=(7-(7-2))=2
Dy=Cy=-2
the coordinates of vertex D is (2,-2)
3) Pairs <span>A(-5, -1), B(1, -1), and C(1, -5)
</span>point D
Dx=Cx-(Bx-Ax)=(1-(1+5))=-5
Dy=Cy=-5
the coordinates of vertex D is (-5,-5)
4) Pairs <span>A(-1, 4), B(7, 4), and C(7, -1)
</span>point D
Dx=Cx-(Bx-Ax)=(7-(7+1))=-1
Dy=Cy=-1
the coordinates of vertex D is (-1,-1)