Answer:
and 
.
Step-by-step explanation:
Let 
be the smaller one of the two number.
must be a positive integer. The other number would be 
.
The question states that the product of the two numbers is 
. In other words:
.
Rearrange this equation and solve for :
.
The first root of this quadratic equation would be:
.
Similarly, the second root of this quadratic equation would be:
.
Since the question requires that both numbers should be positive, 
. Therefore, only 
is valid.
Hence, the two numbers would be and 
, which is .
Answer:
232 in^2
Step-by-step explanation:
Using the formula for surface area A=2(wl+hl+hw)
A=2(16+80+20)
A=232
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
Answer:
The answer is C, 488 cm2
Step-by-step explanation:
Answer:
In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers
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