Answer:
Step-by-step explanation:
Given:
1/2(ln(xx + yy) − ln(zz))
Now,
From the properties of log function,
1) n × ln(x) = ln(xⁿ)
and,
2) ln(A) - ln(B) = 
applying the properties in the given equation
we get the above equation as:
( using the property 2 we get (ln(xx + yy) − ln(zz) =
or
⇒
( using the property 1 i.e n × ln(x) = ln(xⁿ) )
expression as an equivalent expression with a single logarithm is
Answer:
840 mm
Step-by-step explanation:
multiply by 10
675/1000. Simplified it would be 27/40.
Answer:
Option E 15 cm
Step-by-step explanation:
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find out the length of arc DE by a central angle of 45 degrees
Let
x -----> the length of arc DE

Answer:
2.99 x 10⁸ meters per second
Step-by-step explanation:
Scientific notation (also called "Standard form") is written in the form of
, where
and
is any positive or negative whole number.
To <u>convert</u> a number into <u>scientific notation</u>, move the decimal point to the left or right until there is <u>one digit before the decimal point.</u>
The number of times you have moved the decimal point is the power of 10 (
).
If the decimal point has moved to the <u>left</u>, the power is <u>positive</u>.
If the decimal point has moved to the <u>right</u>, the power is <u>negative</u>.
<u>To convert the given number to scientific notation</u>
The decimal point for the given number 299000000 is after the last zero:
⇒ 299000000.
Move the decimal point 8 places to the left:
⇒ 2.99000000
Get rid of the redundant zeros:
⇒ 2.99
Multiply by 10 to the power of the number of decimal places moved:
⇒ 2.99 x 10⁸
Therefore, the speed of light using scientific notation is:
- 2.99 x 10⁸ meters per second