Answer:
Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify
Inverse property of log says that
we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled
Answer:
It's 3 feet
Step-by-step explanation:
Because you are trying to reach the window that is 15 feet, so you would place the 18 foot ladder 3 feet from the house so then it would be at an angle and then it'll reach to the window properly.
Answer:
similar triangles
Step-by-step explanation:
First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.
From math, let's call the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if is the area of triangle ABC, and is the area of triangle DEF, then we can write the following relationship:
Answer:
1
Step-by-step explanation:
If you are just looking for the derivative, then all you need to use the power rule for this. Technically the x in (x-9) has a power to the 1, so really x^1-9. To use power rule, you bring down the exponent, in this case, 1, and then minus 1 from what the exponent was.
1x^(1-1) = 1x^0. The derivative of any constant is 0, so don't even worry about the -9. We know that anything raised to the zero is just 1, so in this case your answer is 1.
Hope this helps :)
Answer:
the sun may rise or will not rise , so there are 2 chances
Step-by-step explanation:
so the probability is 1/2=0.5
