Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
as
similarly
Convert element to a decimal form
so
Thus, the expression becomes
Hence,
<em>converting -86999999999.9941 in a scientific notation</em>
In order to make our job easier we will remove the sign "-" from number -86999999999.9941 (we will write "-" at the final solution). So after this step we have:
<em>−86999999999.9941 ⟶ 86999999999.9941</em>
<em></em>
In order to write number 86999999999.9941 in scientific notation, we need to move the decimal point from its current location (black dot) to the new position such as:
<em>8.6999999999.9941</em>
<em />
So, we need to move the decimal point 10 places to the right.
This means that the power of 10 will be positive 10.
Now we have that the
Number part = 8.69999999999941 and
Exponent part = 10
Thus, we conclude that:
−86999999999.9941 = − 8.69999999999941 × 10¹⁰
To know the range of the equation, you must first see the graph by plotting arbitrary points. Set values of x in any interval and substitute it to the equation. You would get a corresponding value of f(x) or y. When you plot the points, the graph would look like that in the picture.
The range of the graph refers to the coverage of y-values of the curve. From the picture, we could see that it covers most of the negative y-axis. To know at which value, let's find the maxima. There is no minima for this graph as you can see because it extends downwards infinitely at both sides.
To find the maxima, differentitate f(x) with respect to x and equate to 0
f'(x) = 0 = -20-2x-12x^3=0
You can find the roots easily by using a scientific calculator using the mode EQN. For this equation, there are 2 complex root and 1 real root. Thus, x = -1.14. Substitute this to the original equation:
y = 13 - 20(-1.14) - (-1.14)^2 -3(-1.14)^4
y = 29.433
Thus, the maxima is at point (-1.14,29.433). It can't be seen clearly in the graph because of the close intervals.
The sample space of the experiment (i.e. the total number of ways he can pick 7 random pages out of a total of 6 + 4 = 10 pages) is given by:
If he picks at least 5 pages of maths homework, this means that he either picked 5 pages or 6 pages of maths homework.
The number of ways he can pick 5 or 6 maths homework is given by:
Therefore, the probability that he recovers at least 5 pages of his math homework is given by:
Answer:
7
Step-by-step explanation:
28x7=196
196=14^2 aka a perfect square
<h3>
Answer: Associative Property</h3>
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Explanation:
The given equation is in the form
a + (b+c) = (a+b) + c
where,
The associative property of addition is what specifically is being applied. There's a multiplication version of this property as well. The associative property is the idea where we can move parenthesis around to group terms in different ways, and still get the same result regardless of what we did with the parenthesis.
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The associative property only works with addition and multiplication. Something like subtraction will be a different story
Eg: 1-(2-3) is different from (1-2)-3, so a-(b-c) is not the same as (a-b)-c
