Answer:
A
Step-by-step explanation:
To know the distance between the two on a number line, we subtract both numbers from each other
Since the absolute value will give the same result irrespective of the number we used first, we can see that it is the first option that would give the needed results
This means that option A is our answer
Answer:
B. 4
Step-by-step explanation:
Given :
The logarithm function can be converted to an exponential function as
![[\log_ab=c]](https://tex.z-dn.net/?f=%5B%5Clog_ab%3Dc%5D)
can be expressed as ![[a^c=b]](https://tex.z-dn.net/?f=%5Ba%5Ec%3Db%5D)
Similarly for the given expression
We can write,
Using property of negative exponents ![[a^{-b}=\frac{1}{a^b}]](https://tex.z-dn.net/?f=%5Ba%5E%7B-b%7D%3D%5Cfrac%7B1%7D%7Ba%5Eb%7D%5D)
So we can write that as:
Writing the exponents in radical form as ![a^{\frac{b}{c}}=(\sqrt[c]{a})^b](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%28%5Csqrt%5Bc%5D%7Ba%7D%29%5Eb)
Taking cube root both sides to remove the cube.
![\sqrt[3]{(\sqrt{x})^3}=\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28%5Csqrt%7Bx%7D%29%5E3%7D%3D%5Csqrt%5B3%5D%7B8%7D)
Squaring both sides to remove square root.
∴ 
Answer:
B. 5.22×10⁸
Step-by-step explanation:
Inessa = X
Ralph = Y
By the given ratio X/Y = 5/6
Solve for X: X = 5/6 * Y
Now Inessa gives 1/2 of hers to Ralph, which then totals 850"
Y + 1/2X = 850
Replace x :
Y + 1/2 * 5/6 * Y = 850
SImplify:
Y + 5/12Y = 850
Multiply both sides by 12 to remove the fraction:
12Y + 5Y = 10200
Simplify:
17Y = 10200
Divide both sides by 17:
y = 10200 / 17
y = 600
Ralph originally had 600 plants.
