Answer
Find out the inequality represents the solution set that shows the number of loads, n, that the dump truck driver will haul.
To proof
As given
A dump truck driver must haul 112 cubic yards of dirt to a construction site.
The maximum load for the dump truck is 14 cubic yards.
Let us assume that the number of loads = n
Than the inequality in the form
n≥ 8
Therefore the number of the of loads be 8.
Hence proved
<u>Given</u>:
The given expression is
We need to determine the factor of the given expression.
<u>Factor</u>:
Let us rewrite the given expression.
Thus, we have;
Since, the above expression is of the form , let us apply the identity
Thus, we have;
------ (1)
Now, we shall factor the term
Substituting the above expression in equation (1), we have;
Therefore, the factor of the given expression is
Hence, Option B is the correct answer.
In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5
<h3><u>Answer:</u></h3>OPTION D
The exponent in Sam’s product is -5
<h3><u>Solution:</u></h3>Given that,
In math class, Sam correctly multiplied by 500, then reported his product in scientific notation.
<em><u>To find: exponent in Sam’s product</u></em>
Let us first multiply 500 with
Then Sam has reported this answer in scientific notation
Lets understand what is scientific notation of any number.
Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.
Let us rewrite the Sam's answer in scientific notation
<em><u>The format for writing a number in scientific notation is:</u></em>
(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).
In , we move the decimal 3 times to left side
Since the decimal is moved left side, we multiply by
Exponent is a quantity representing the power to which a given number or expression is to be raised
So in exponent is -5