The scale factor of the dilation is 2
The bacteria grow from 1,000 bacteria into 12,500 bacteria in 12 hours. The exponent function would be
:an= ao(1+r)^t12.500= 1,000(1+r)^121,000(12.5)= 1,000(1+r)^1212.5= (1+r)^121+r= 1.23427r= 0.23Number of bacteria after 20hr would be:an= ao(1+r)^tan= 1,000(1+0.23)^20an= 1,000(62.821 )an= 62,821
Answer:
5 5/6
Step-by-step explanation:
Change them into improper fractions. Multiply the denominator by the whole number and then add the numerator. Put that number over the denominator.
2 X 3 = 6 3 X 2 = 6
6 + 1 = 7 6 + 1 = 7
7/3 7/2
New expression: 7/3 + 7/2
Find a common denominator. Both denominators can go into 6.
14/6 + 21/6 = 35/6
Change this back into a mixed number by dividing.
Answer: 5 5/6
A. independent (x) - expenses, dependent (y) - total cost
B. independent (x) - area, dependent (y) - price
C. independent (x) - time, dependent (y) - distance
D. independent (x) - size of carton, dependent (y) - number of items
Step-by-step explanation:
use herons formula
√s(s-a)(s-b)(s-c)
where s is the semi perimeter
S=20
and a,b,c are sides of triangle
=√20(20-17)(20-9)(20-14)
=√20.3.11.6
=62.92
nearest whole number is 63
option B is correct