Write an equation of the line with the given slope and y-intercept
1 answer:
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Hi there! The answer is FALSE
To find the answer we need to work out the parenthesis.
75 does not equal 45 and therefore the statement is false.
To find the answer we need to work out the parenthesis.
75 does not equal 45 and therefore the statement is false.
Answer:
The correct option is (B).
Step-by-step explanation:
The exponential decay function is as follows:
Here,
<em>y = </em>final value
<em>a</em> = initial value
<em>r</em> = decay rate
<em>t</em> = time taken
It is provided that:
<em>a = </em>150 mg
<em>r</em> = 9% = 0.09
Then the next hour the amount of caffeine in the body will be:
Then after two hours the amount of caffeine in the body will be:
Similarly after 10 hours the amount of caffeine in the body will be:
Then the inequality representing the range of the exponential function that models this situation is:
Thus, the correct option is (B).
This is a simple 
Pythagorean Theorem problem.
So here we go:
Imagine a right triangle with 2 legs and a hypotenuse.
The Pole is the vertical leg. The Cable is the hypotenuse. The distance on the ground between the cable and the pole is the 3rd leg.
We are trying to find the hypotenuse which is C in our Pythagorean Theorem.
Thus:
Add the squares:
Now take the square root of both sides:
*Remember that in triangles, we cannot have a negative value for the length. (If it's possible, please contact the Nobel Prize admins).
Thus:
So here we go:
Imagine a right triangle with 2 legs and a hypotenuse.
The Pole is the vertical leg. The Cable is the hypotenuse. The distance on the ground between the cable and the pole is the 3rd leg.
We are trying to find the hypotenuse which is C in our Pythagorean Theorem.
Thus:
Add the squares:
Now take the square root of both sides:
*Remember that in triangles, we cannot have a negative value for the length. (If it's possible, please contact the Nobel Prize admins).
Thus: