Answer:
The answer should be A'(-9,3) B'(12,-6)
Step-by-step explanation:
If you dialate, you multiply every coordinate by 3. -3 x 3= -9. 1 x 3=3. 4 x 3= 12. -2 x 3= -6. So, the last option is correct.
Let x = first number and y = second number.
The first statement is expressed as
x*y = 713
The second statement is expressed as
x = y + 9
To find x, use the second equation in terms of y, that is y = x - 9. Then substituting it to the first equation yields
x*(x - 9) = 713
Answer: 0.87400mg of caffeine.
Step-by-step explanation:
You have
N(t)=N0(e^−rt)(1)
as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,
N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)
Taking the last 2 parts of (2) to the power of 0.1t gives
e^−rt=0.2601^.1t . .(3)
This means that
N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)
Also,
N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1
= 0.87400mg of caffeine.
Answer:
A loss of weight means we subtract from Jack's current weight.
Step-by-step explanation:
A loss of weight means we subtract from Jack's current weight. New Weight = Current Weight - Weight Loss per week * number of weeksNew Weight =257 - 3*12New Weight =257 - 36New Weight = 221
