Answer:
The extension of the 6-kg load is 3.75 cm
Step-by-step explanation:
4/2.5 = 6/x
Cross multiply:
4x = 15
15/4 = x
x = 3.75
<h2>
Hello!</h2>
The answer is: The Anya's drawing is 6 inches long.
Have a nice day!
<h2>Why?</h2>
To solve this problem, we need to consider the drawing's length with respect to the actual bug's size, so, the scale factor is:
So, how long is Anya's drawing of the bug?
We can find it, using the following equation:
Hence, the Anya's drawing is 6 inches long.
Have a nice day!
<span>299.2
The atomic weight of the new element is simply the weighted average of the isotopes. So
0.4030 * 296.78 + 0.5970 * 300.88
= 119.60234 + 179.62536
= 299.2277
Now the number of significant digits is the same as the number of significant digits of the LEAST PRECISE DATUM. And that would be the percentages at 4 significant digits each. So the result needs to be rounded to 4 significant digits which is 299.2</span>
9514 1404 393
Answer:
a) weights: 0.32688, 0.18402, 0.35593, 0.13317
b) geometric average return: 5.42%
Step-by-step explanation:
The total of amounts invested is ...
13500 +7600 +14700 +5500 = 41300
The respective weights for the weighted average are these values divided by the total. For example, 13500/41300 ≈ 0.32688. The remaining weight values are shown in the attached spreadsheet.
The weighted geometric average return is 1 less than the product of 1 more than the individual returns raised to the power of the weight*. That is, ...
weighted average return
= (1.097^0.327)(1.124^0.184)(0.945^0.356)(1.172^0.133) -1
= 1.0542 -1 = 5.42%
_____
* Technically, the weighted geometric average is root of the products of the values to the power of the weight. The root index is the sum of the weights. Here, the sum of weights is 1, so the root is simply the product itself.