First we need to find out what kind
of logarithm rule is given, the given is logarithm product rule which states
that a log of a product is equal to the sum of the log of the first base and
the log of the second base.
By:
= log (1.37 x 10⁹) =
log (1.37) + log (10⁹)
= log (1.37) + 9
= 9 + log (1.37)
In the meantime, 1.37 is between
1 and 10 its logarithm will be between 0 and 1. Thus, the value of log (1.37 x 10⁹)
falls between 9 and 10 because when you compose a scientific notation you will
always have a number among 1 and 10 by 10 to some power. That power tells you
the integer part of the logarithm.
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Width of the rectangle is 9 units
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units
Area of the rectangle = length × width
54 = x (x - 3)
54 = x² - 3x
x² - 3x - 54 = 0
x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)
x(x + 6) - 9(x + 6) = 0
(x + 6)(x - 9) = 0
x = -6, 9 (negative value is neglected)
x = 9 units
Answer: Anna could buy 5 sweatshirts for $75.
Step-by-step explanation:
lets figure out the price of one sweatshirt.
45/3 = 15
one sweatshirt is $15
5*15=75
so 5 sweatshirts cost $75
Yes, if all 8 of the students shared the cost of $100 dollars equally, that would mean each student paid $12.50.
The 4 marked x is 10 times greater than the 4 marked y. That is because it is one place in front of the other 4, making it 10 times greater. If you need any help with understand this, please let me know and I will further assist you on this question! Hope I was able to help.
