√-80 can be factored out, to see which factors can be square rooted. A pair of factors would be 16 and -5, so that would be 4√-5. But, negative numbers cannot be inside a square root. So, √-1 is the same thing as <em>i</em>, or <u>imaginary number</u>. So, the expression equivalent to √-80 is 4<em>i</em>√5.
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A Pythagorean triple is a triple that describes the three positive integer side lengths of a right triangle. It fits the rule a^2 + b^2 = c^2. From the given sets of numbers above, the following are the Pythagorean triples: Option C: 12, 16 and 20 (144 + 256 = 400); Option E: 8, 15 and 17 (64 + 225 = 289); and Option F 32, 60 and 68 (1,024 + 3600 = 4,624).
Some definitions:
Sum - the result of adding values together
Term - a single number or variable (includes variables multiplied by numbers)
Factor - a number or variable that divides another number or expression evenly
Quotient - the result of dividing values by one another
Coefficient - a numerical or constant value often in front of a variable
In your equation:
Sum - (5x + 1)
5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.
Term - (5x, 1, 3y)
All terms given above are applicable.
Factor - (9)
9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression
Quotient - (9(5x + 1) / 3y)
The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.
Coefficient - (5, 3)
Both 5 and 3 are numbers in front of variables.
Hope this helps!! :)
Answer:
6.13 years
Step-by-step explanation:
The computation of the number of years is shown below:
As we know that
Amount = Principal ×e^{rate,time period}
($900 + $500) = $700 × e^{11.3%, time period}
$1,400 = $700 × e^{11.3%, time period}
ln(2) = 0.113× time period
0.693147181 ÷ 11.3 = time period
= 6.13 years
Answer:
50%, 68.26%, 95.54%
Step-by-step explanation:
Let X be the day care costs
X is N(10000, 2000)
Since normal distribution is symmetrical about the mean we get
above 10000, exactly 50% of day care cost would be .
Between 8000 and 12000,
=
Between 6000 and 14000
%