Answer:

Step-by-step explanation:
The formula of a volume of a sphere:

We have

Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>

<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)
Answer:
y=-99x
Step-by-step explanation:
it's imposible to answer y in terms of a number, but it is possible to do it in terms of x.
x-y=100x
x=100x+y
-99x=y
y=-99x
Answer:
Step-by-step explanation:
radius of a coin is 12 mm
Diameter of the coin is twice the radius = 2 x 12mm = 24mm
The circumference of the coin= 2πr = 2 x3.14 x 12 = 75.36m
Area of coin = πr²= 3.14 x 12 x12 = 452.16mm²
what is the area of the coin
For a segment AB, the coordinates of the middle point C are:
xc=(xa+xb)/2,
yc=(ya+yb)/2.
Now, you know points A and C. Thus we get:
xb=2×xc-xa
yb=2×yc-ya
With numerical values:
xb=2×2-(-1)=4+1=5
yb=2×3-(-5)=6+5=11
Answer: B(5, 11)
Answer:
The correct option is;
69 cm
Step-by-step explanation:
The z-score, or standard score is a measure of how far a data is from the mean
The z-score, is given by the relation;

Z = Standard score
x = Value observed
μ = The mean height of the plants = 52.5 cm
σ = Standard deviation = 7.2 cm
Given that the z-score = 2.25, we have;

Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm
Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.