Step-by-step explanation:
Given that the first number is
5,555 and
the second number is 4,444
the product of 5,555 and4,444= 24686420
to the nearest thousand 5,555= 6000
to the nearest thousand 4,444= 5000
Therefore the product of 6000 and 5000 is
=6000x5000
=30000000
1 dm represents 100 m implies that 10 cm represents 100 m, so the scale is 1 : 10, that means that 1 cm is 10 m in the map.
We have to find t(theta) in radians.
cos t = cos 65° + cos 55°
We know that:
cos x + cos y = 2 · cos (x+y)/2 · cos (x - y)/2
cos t = 2 · cos (65°+55°)/2 · cos (65°-55°)/2
cos t = 2 · cos 60°· cos 5°
cos t = 2 · 1/2 · cos 5°
cos t = cos 5°
t = 5° = π/36 radians
Answer:
a) T(t)= 100e^(-0.0513t)
b) See attachment for graph
y-intercept is inital temperature
domain is t≥0, range is 0 <T≤100
c) 44.9min
Step-by-step explanation:
a) at t=0, T=100
at t=1, T=95
T(t)= Ae^-kt
100=Ae^(-k×0)
A=100
95=100e^(-k
k=0.0513
T(t)= 100e^(-0.0513t)
b) as time reaches infinity, temperature of pudding becomes approximately equal to 0. x-axis is the asyptote of the graph
c) 10= 100e^(-0.0513t)
t= 44.9 min