Answer:
2.34 * 10^5.
Step-by-step explanation:
234000 = 2.34 * 10^5
- there are 5 digits after the first number so the exponent is 5.
Answer:
(b) 1.95
Step-by-step explanation:
One of the easiest ways to evaluate an arithmetic expression of almost any kind is to type it into an on-line calculator. Many times, typing it into a search box is equivalent.
<h3>Application</h3>
See the attachment for the search box input (at top) and the result. This calculator has the benefit that it <em>always follows the Order of Operations</em> when evaluating an expression. (Not all calculators do.)
ln(7) ≈ 1.95
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<em>Additional comment</em>
If your math course is asking you to evaluate such expressions, you have probably been provided a calculator to use, or given the requirements for a calculator suitable for use in the course.
There are some very nice calculator apps for phone and tablet. Many phones and tablets already come with built-in calculator apps. For the purpose here, you need a "scientific" or "graphing" calculator. A 4-function calculator will not do.
As with any tool, it is always a good idea to read the manual for your calculator and work through any example problems.
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Years ago, handheld calculators were not available, and most desktop calculators were only capable of the basic four arithmetic functions. Finding a logarithm required use of a table of logarithms. Such tables were published in mathematical handbooks, and extracts of those often appeared as appendices in math textbooks used in school.
ANSWER
The vertex is (1,-3)
EXPLANATION
The given parabola has equation:

We group the variables to obtain:

We complete the square to get,



The vertex is of the parabola is (1,-3)
STEP
1
:
Equation at the end of step 1
((3 • (x3)) - (32•5x2)) + 150 = 0
STEP
2
:
Equation at the end of step
2
:
(3x3 - (32•5x2)) + 150 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x3 - 45x2 + 150 = 3 • (x3 - 15x2 + 50)
Polynomial Roots Calculator :
4.2 Find roots (zeroes) of : F(x) = x3 - 15x2 + 50
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 50.
The factor(s) are:
Answer:
333.3
Step-by-step explanation:
45 % = 150
100% = <u>100% x 150</u>
45%
= 333.3
non of the answers presented makes sense as 45 % = 150 the number (100%) should be more than 150