Answer:
1.01*10^-4
Step-by-step explanation:
first nonzero digit is 4 places to the right of the decimal point
.000<u>1</u>01
move decimal point 4 places to the right
1.01
multiply by 10^-4 since it was 4 places to the right
1.01*10^-4
Well <span>(x, y)→(−x, y) </span>means it's reflected off the y-axis(You can experiment this with random points on a graph)
(x, y)→(x−1, y+2) means that every point is moved to the left by 1 and up by 2, in other words, the triangle is translated left 1 up 2.
Since the only thing that effects congruency is dilation(rotation, translation, and reflection only move the shape, not change it), The new triangle should equal the old one.
Thus we would get the first choice
Answer: -2z+2
hope this helps
Answer:
Observational study.
Step-by-step explanation:
In an observational study, the data is calculated but there are no experiments to change anything.
In a designed experiment, an experiment is applied to a group of people and it's effects are studied.
In this problem, we have that:
Male and female college students give their total credit card debt. There are no experiments to change anything. So it is an observational study.
Answer:
100 m²
Step-by-step explanation:
The scale factor for volume of similar figures is the cube of the scale factor for linear dimensions. The scale factor for area is the square of that linear dimension scale factor.
<h3>Scale factor</h3>
If the ratio of volumes is the cube of the scale factor, then the scale factor for the smaller figure in terms of the larger is ...
![k=\sqrt[3]{\dfrac{125\text{ m}^3}{729\text{ m}^3}}=\sqrt[3]{\dfrac{5^3}{9^3}}=\dfrac{5}{9}](https://tex.z-dn.net/?f=k%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B125%5Ctext%7B%20m%7D%5E3%7D%7B729%5Ctext%7B%20m%7D%5E3%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B5%5E3%7D%7B9%5E3%7D%7D%3D%5Cdfrac%7B5%7D%7B9%7D)
<h3>Smaller area</h3>
The area of the smaller figure is found from ...
The surface area of the smaller solid is 100 square meters.
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<em>Additional comment</em>
The least surface area for a given volume is that of a sphere. The larger volume given corresponds to a sphere with a radius of about 5.583 meters. Such a sphere will have an area of about 391.7 square meters. There is no known physical object with a volume of 729 m³ that can have a surface area as little as 324 m².
