Question 1 of 5
1 answer:
Answer:
The simplified fractional equivalent is
Step-by-step explanation:
we know that
A <u><em>terminating decimal</em></u> is a decimal that ends. So, it's a decimal with a finite number of digits.
we have
Let
Multiply by 100 both sides
Divide by 100 both sides
Simplify
Divide by 25 both numerator and denominator
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we know that
acceleration due to gravity is 9.8m/s^2
so, we get
and acceleration will always be constant
we know that
integral of acceleration is velocity
so, we can integrate both sides
we are given
v(0)=35m/s
we can use it and find C
now, we can plug it back
we know that
integral of velocity is height
we can integrate it again
now, we have
s(0)=6
we can use it and find C
now, we can plug back C
and we get
.............Answer
Answer:
for n = 1, 2, . . . , 20.
Step-by-step explanation:
This is an arithmetic sequence, because the population is said to increase by 4 animals yearly. The formula for the nth term in an arithmetic sequence is given by:
where
is the nth term, [/tex]a_1[/tex] is the first term, n = 1, 2, . . . and d is the common difference.
Since they are currently 17, this implies that the first number in the population sequence will be 17. In order words, the first term is 17.
Since they increase by 4 yearly, then the common difference is 4.
Since it's for 20years, the n = 1, 2, . . ., 20. The explicit formula is therefore:
for n = 1, 2, . . . , 20.