Answer:
Rate of change per hour in the number of bacteria is r=0.28
Step-by-step explanation:
Given : There are 16 bacteria in a beaker and four hours later there are 228 bacteria in the beaker.
To find : What is the rate of change per hour in the number of bacteria.
Solution :
At initial number of bacteria is 16
After 4 hours number of bacteria is 228
Rate of change per hour is given by
where A = total number of bacteria, P = initial number of bacteria, r= rate of change , t= time
Taking log both side,
Therefore, Rate of change per hour in the number of bacteria is r=0.28
Answer:
Step-by-step explanation:
The future value formula is FV=PV(1+i)^n, where the present value PV increases for each period into the future by a factor of 1 + i. value PV increases for each period into the future by a factor of 1 + i.
fv = future value
pv = present value
r = annual interest rate ( decimal number)
n= period
Answer:
(x + 3) x (x + 2)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
To find the radius of the circle with equation x2 + y2 – 14x + 10y = 250, convert the equation into vertex-form (x - h)² + (y-k)² = r². Convert by completing the square for x² - 14x and y² + 10y.
Complete the square by dividing each term -14x and 10y in two. Then square each.
-14/2 = -7 and -7² = 49
10/2 = 5 and 5² = 25
The equation becomes x² - 14x + 49 + y² + 10y + 25 = 250 + 49 + 25.
We simplify the equation into (x-7)² + (y + 5)² = 324.
324 is the value of radius squared. Take the square root to find the radius.
√324 = 18
The radius is 18 units.
Answer:
Length=10 Inches
Width=10 Inches
Step-by-step explanation:
Volume of the box 
Height=8 Inches
Base Perimeter =40 Inches
Volume of a box=lbh
SInce h=8 in, V=800.
Then:
8bl=800
bl=100
Base Perimeter=40 Inches
Perimeter of the Base= 2(l+b)
Therefore: 2(l+b)=40
Substituting
Recall:
Therefore:
Length=10 Inches
Width=10 Inches
