Multiply the weight in tonnes by the conversion factor ( 1 tonne = 1000 kg) to get the weight in kg's:
170 tonnes x 1000 = 170,000
Now convert to scientific notation, by moving the decimal point to have only 1 digit to the left of the decimal.
To do this, you would need to move the decimal 5 places to the left to get 1.70000
Now remove the 0's and multiply the number by 10 raised to the number of paces the decimal was moved to get:
1.7 x 10^5 kg's.
The decimal form for 5.63 x 10^-6 is 0.00000563
Answer:
the answer is C
Step-by-step explanation:
the y intercept is on the right, so (x, y)
and the third option has (4,8) so 8 is on the y
Answer:
a. 19
b. 14
Step-by-step explanation:
From the venn diagram, we see that:
9 children like only Vanilla
7 like vanilla and chocolate
12 like only chocolate, and
2 like neither chocolate nor vanilla
Thus:
a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19
19 children like chocolate ice-cream.
b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14
14 children do not like vanilla ice-cream.
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
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Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.