Answer:
They can make 25 cakes
Step-by-step explanation:
75/3=25
(1/A) dA/dt= C where A is the population of ants and C is a constant
ln(A) = C*t + C1 where C1 is another constant that comes out of integration and t is time in days.
Plugging in: at t=0, A= 100 so C1 = ln(100) = 4.605
at t=3, A=230 so ln(230) = 3*C +4.605 so C = 0.278
Final equation:
ln(A) = 0.278t + 4.605
or:
A = exp(0.278t + 4.605)
After 14 days, A = exp(0.278*14 + 4.605) = 4875.2
The numerical representation and final elevation of the fish relative to sea level are :
- Final position = -13.52 + 7.8
- Final position = - 5.72
<u>Given the Parameters</u> :
Initial depth of fish = - 13.52
Change in elevation of fish = 7.8 feets
Positions below sea level are represented as negative values (-) ;
Hence, initial position of fish = - 13.52
Change in position = Rise in depth of 7.8 feets
<u>The numerical representation of the final position of the </u><u>fish</u><u> </u><u>can</u><u> </u><u>be</u><u> written thus</u> :
- Final position = Initial position + change in position
- Final position = - 13.52 + 7.8
Hence, the final position of the fish will be :
- Final position of fish = -13.52 + 7.8 = - 5.72
Learn more : brainly.com/question/18109354
Answer:
f = 5/6 = 0.833 or f = 0
Step-by-step explanation:
When you write URGENT the Brainly cops think you may be taking a test.
y = ax² + c thru (-1,4) and (0,8)
Substituting in the coordinates of each point for x and y gives two equations:
4 = a (-1)² + c
8 = a (0²) + c = c
From the second one we see c=8. Substituting into the first one,
4= a + 8
a = 4-8 = -4
Answer: a=-4, c=8
Check:
f(x) = -4x² + 8
f(0) = 8, good
f(-1) = -4(1) + 8 = 4, good
