Answer:
The given equation will have value less than 100 whenever the value of b is greater than 12.89
Step-by-step explanation:
For the given equation, p(b) = 520 × 
to have a value less than 100 we can establish inequality as:
p(b) < 100
or, 520 × < 100
or, 
× < 
or, < 
or, ㏒ ( ) < ㏒ ()
or, b× ㏒ 0.88 < ㏒ ()
or, 
< b
or, 12.89 < b
Hence for the equation to have value less than 100, b must be greater than 12.89.
The slope is 7
slope equation: y=mx+b
m=slope
The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.
From the picture you have a = 10 and c = 15.
Now you have:
10^2 + b^2 = 15^2
Simplify:
100 + b^2 = 225
Subtract 100 from both sides:
b^2 = 125
Take the square root of both sides:
b = √125
b = 11.2
Answer:
87.5%
Step-by-step explanation:
1) divide 7 by 8 which gives you 0.875
2) move the decimal in 0.875 two spaces to the right which makes it as a percent of 87.5%
The minute hand has swept through 46 minutes on the clock. You have to set up a ratio to solve this:
You can compare the 60 minutes on a clock to 360 degrees because 60 minutes on a clock is one whole rotation. So then, you cross multiply and simplify:
Therefore, the minute hand has swept through an angle with a measure of 276 degrees.
