(I) Alpha+Beta= 2
Alpha-Beta= √D/|a|= √10
Alpha^2 - Beta^2
=(Alpha+Beta) (Alpha-Beta)
= 2* √10
= 2√10
First, we convert the given radius of the wheel to meters giving us an answre of 0.325 m. Then, we calculate for the circumference.
C = 2πrr
Substituting,
C = 2π(0.325 m) = 2.04 m
Then, we have a road that is 40 m long, the number of complete revolutions is,
n = 40/2.04 m = 20
Answer:
Step-by-step explanation:
76.4
Answer:
P(t) = 1000e^(0.01155)t
Step-by-step explanation:
Let the population of barangay be expressed according to the exponential formula;
P(t) = P0e^kt
P(t) is the population of the country after t years
P0 is the initial population
t is the time
If barangay has 1000 initially, this means that P0 = 1000
If the population doubles after 60years then;
at t = 60, P(t) = 2P0
Substitute into the formula
2P0 = P0e^k(60)
2 = e^60k
Apply ln to both sides
ln2 = lne^60k
ln2 = 60k
k = ln2/60
k = 0.01155
Substitute k = 0.01155 and P0 into the expression
P(t) = 1000e^(0.01155)t
Hence an exponential model for barangay's population is
P(t) = 1000e^(0.01155)t
Answer:
There are 250 nails and 150 screws in the bucket.
Step-by-step explanation:
Let Number of nails in bucket be x.
Also Let number of screws in the bucket be y.
Together, there are 400 fasteners in the bucket.
Hence the equation can be framed as;
Also Given:
The number of nails in the bucket is 50 less than twice a number of screws.
Hence the equation can be framed as;
Substituting the value of x in equation 1 we get;
Now we have value of y we will substitute in equation 1 we get;
Hence there are 250 nails and 150 screws in the bucket.
