Answer:
Number of fruit flies after 14 days is equal to 1880.
Step-by-step explanation:
given,
fruit flies at the beginning of the experiment = 200 fruit flies
rate of increase of fruit flies = 5 per hour
to calculate the number of flies after 14 days.
time = 14 days = 14 × 24 = 336 hours
flies after 14 days = initial number of flies + rate of increase × time
= 200 + 5 × 336
= 1880 fruit flies.
hence,Number of fruit flies after 14 days is equal to 1880.
A-1500
B-1500
C-1500+1500=3000
I assume your question amounts to finding the period of f(t)=8sin(4 pi t). A period L is a positive number such that f(t+L)=f(t) for all t. Since sin(x) is 2 pi perodic we can find the least number L such that 4pi(t+L)=4*pi*t+2*pi. Multiplying out we get
4pi(t+L)=4*pi*t+4*pi*L and we want to find L such that we get 4*pi*t+2*pi, notice if we take L=1/2 we get the desiered result 4*pi*t+4*pi*1/2=4*pi*t+2*pi. This proves that L=1/2 and your function has a period of 1/2.
For the image above, the answer is 91°.
Since all the angles of a triangle add up to 180, we can work backwards to find the answer.
180-51-38= 91°
