Answer:
Step-by-step explanation:
By definition, we can write ln instead of log. WHEN??
Whenever the base of the logarithm is the number "e".
Hence, when we have:
We can write it in shortcut as:
Hence, ln x can also be written as 
Fourth answer choice is right.
Answer:
30.48 centimeters
Step-by-step explanation:
We know that:
2.54 cm = 1 inch
To find how many centimeters are in 12 inches, you should:
2.54 x 12 = 30.48
So Jacob’s pieces of yarn should be 30.48 centimeters long.
Hope this helps!
How many three-fourths are in 2? 2 complete sets of three-fourths can be made and 2 of the 3 pieces need to make \frac34 are left over, so we have another \frac23 of a three-fourths. and we can see that there are 2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.
Answer:
Step-by-step explanation:
<u />
<u>Distance formula</u>
Let P(x, y) = any point on the locus
Let A = (0, 2)
Let B = (-2, 3)
If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):
Therefore, using the distance formula:
Square both sides:
![\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]](https://tex.z-dn.net/?f=%5Cimplies%20x%5E2%2B%28y-2%29%5E2%3D%5Cdfrac%7B1%7D%7B9%7D%5B%28x%2B2%29%5E2%2B%28y-3%29%5E2%5D)
Multiply both sides by 9:
Answer:
238/25
Step-by-step explanation:
Input:
9×1 + 5×1/10 + 2×1/100
Exact result:
238/25
Decimal form:
9.52
Number line:
Number line
Mixed fraction:
9 13/25
Continued fraction:
[9; 1, 1, 12]
Egyptian fraction expansion:
9 + 1/2 + 1/50
