The formula for the number of divisors (d) is
d = (m+1)(n+1)
where this number includes the values 1 and p^m*q^n
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This can be generalized to more or fewer prime factors. Add 1 to each of the exponents and form the product of those values.
The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10
The steps are:
1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4
2) Combine like terms => 3 [2^ (2t - 5) ] = 14
3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3
4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)
5) Divide both sides by log (2) =>
log (14/3)
2t - 5 = -------------------
log (2)
6) transpose - 5+>
log (14/3)
2t = ------------------- + 5 = 2.22 + 5
log (2)
2t = 7.22
7) divide both sides by 2 => t = 7.22 / 2 = 3.61
Answer:
First one is first option
Second one is the third option
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
absolute value is the distance from zero. it will never be negative. so -6 is 6 away from zero, -8 is 8 away from zero. you can just take off the negative sign and use the number by itself.
|-6| - |-8|
6 - 8
-2
First of all, remember that one ton= 2000 pounds.
Since the adult whale weighs 120 tons, multiply this by 2000 to find the number of pounds. 120*2000=240,000 pounds.
A baby whale weighs 1/40 of the adult whale's weight. Multiply 1/40 times 240,000 to find the total weight in pounds of the baby whale.

The baby whale weighs 6000 pounds.