Answer:
625
Step-by-step explanation:
First, you have to convert 0.2 grams to mg. To do this, multiply 0.2 by 1000. This yield 200. Now 200 is what percent of 32.
200 * 100 / 32
= 625
Answer:
D. F(x) = (x +3)³ -2
Step-by-step explanation:
As with most multiple-choice math problems, you can try the different answers to see which is consistent with the information given in the problem. Here, that would mean you evaluate f(-3) to see if you get the value -2.
A. (-3+2)³ -3 = -4 ≠ -2
B. (-3 -3)³ -2 = -218 ≠ -2
C. (-3 -2)³ -3 = -128 ≠ -2
D. (-3 +3)³ -2 = -2 . . . . . . the correct choice
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You are probably expected to understand that F(x) has been translated left 3 units and down 2 units from G(x). (The marked inflection point gives you the clue you need.) The transformation that translation does this is:
F(x) = G(x -h) +k . . . . . G(x) translated by (h, k) units (right, up)
Translation left 3 and down 2 gives you (h, k) = (-3, -2), so ...
F(x) = G(x -(-3)) -2 = G(x +3) -2
F(x) = (x +3)³ -2
The sum of the absolute deviation is 50
sorry If I am wrong; please answer my last question I don't have much time
<em><u>The pattern for six factors of -3 is:</u></em>
(-3)(-3) = 9
(-3)(-3)(-3) = -27
(-3)(-3)(-3)(-3) = 81
(-3)(-3)(-3)(-3)(-3) = -243
(-3)(-3)(-3)(-3)(-3)(-3) = 729
<em><u>Solution:</u></em>
Given that we have to extend the pattern to six factors of -3
<em><u>Given pattern is:</u></em>
(-3)(-3) = 9
(-3)(-3)(-3) = -27
(-3)(-3)(-3)(-3) = 81
<u><em>Remember:</em></u>
When multiplying more than two positive and negative numbers, use the Even-Odd Rule: Count the number of negative signs — if you have an even number of negatives, the result is positive, but if you have an odd number of negatives, the result is negative.
Let us extend the pattern to five factors of -3 and then to six factors of -3
(-3)(-3)(-3)(-3)(-3)
Multiply them together to get result
(-3)(-3)(-3)(-3)(-3) = 9 x 9 x (-3) = 81 x (-3) = -243
Now find for six factors of -6
(-3)(-3)(-3)(-3)(-3)(-3) = 9 x 9 x 9 = 729
Thus pattern for six factors of -3 is:
(-3)(-3) = 9
(-3)(-3)(-3) = -27
(-3)(-3)(-3)(-3) = 81
(-3)(-3)(-3)(-3)(-3) = -243
(-3)(-3)(-3)(-3)(-3)(-3) = 729
