The bacteria grow from <span>1,000 bacteria into 12,500 bacteria in 12 hours. The exponent function would be:
an= ao(1+r)^t
12.500= 1,000(1+r)^12
1,000(12.5)= 1,000(1+r)^12
</span>12.5= (1+r)^12
1+r= 1.23427
r= 0.23
Number of bacteria after 20hr would be:
an= ao(1+r)^t
an= 1,000(1+0.23)^20
an= 1,000(62.821 <span>)
an= </span><span>62,821 </span>
Formula for area of circle:
A=πr²
Here diameter, d= 6 cm
Radius, r= d/2 = 6/2 = 3 cm
Put values
A= 3.14 x 3²
A=3.14 x 9
A=28.26 cm²
Answer: 28.26 cm²
When it is perpendicular, the slope is the negative reciprocal so it would equal -3/2x. Plug in the points to the equation so you can find the intercept. -8=-3/2(4)+b
Combine: -8=-6+b
Add 6: -2=b
The equation would be f(x)=-3/2x-2
Hope this helped and sorry if I am wrong!
1/3 is the same as 3/9. To solve this, subtract 3/9 from 7/9.
Your answer is
