(05.02 MC) Solve 2 log x = log 64. Ox= 1.8 Ox=8 Ox= 32 Ox = 128
1 answer:
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Answer:
Since the price is given by an exponential function, the decline in price is exponential.
The component will cost $36.8475 in three years.
Step-by-step explanation:
The equation for the price of a component has the following format:
In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.
Since the price is given by an exponential function, the decline in price is exponential.
The price of a computer component is decreasing at a rate of 15% per year.
This means that
Component costs $60 today
So P(0) = 60. Then
What will it cost in three years?
This is P(3).
The component will cost $36.8475 in three years.
Option D
The sum of two irrational numbers is always rational is false statement
<em><u>Solution:</u></em>
<h3><u>The sum of two rational numbers is always rational</u></h3>"The sum of two rational numbers is rational."
So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.
For example:
rational number + rational number = rational number
Hence this statement is true
<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.
Any other situation, however, of a rational times an irrational will be irrational.
A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."
So this statement is correct
<h3><u>The product of two rational numbers is always rational</u></h3>The product of two rational numbers is always rational.
A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0
Any integer is a rational number because it can be written in p/q form.
Hence it is clear that product of two rational numbers is always rational.
So this statement is correct
<h3><u>The sum of two irrational numbers is always rational</u></h3>"The sum of two irrational numbers is SOMETIMES irrational."
The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.
Thus this statement is false