0.026 add all of them up then divide them that should be your answer
Let the distance traveled by car X be x km
<span>let the distance traveled by car Y by y km </span>
<span>their paths form a right-angled triangle. </span>
<span>Let the distance between them be D km </span>
<span>D^2 = x^2 + y^2 </span>
<span>2D dD/dt = 2x dx/dt + 2y dy/dt </span>
<span>dD/dt = (x dx/dt + y dy/dt)/D </span>
<span>at the given case: </span>
<span>x = 60, y = 80 , dx/dt = 80, dy/dt = 100 </span>
<span>D^2 = 60^2 + 80^2 = 10000 </span>
<span>D = 100 </span>
<span>dD/dt = (60(80) + 80(100))/100 </span>
<span>= 128 </span>
Answer:
Step-by-step explanation:
I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:
and begin by dividing both sides by 100 to get
. To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.
ln(.28) = -.0001t Now it's easy to solve for t.
and
so
t = 12729.65676 years or rounded, 12730 years.
The value of (f·g)(x) from the given function is -2x³ - x².
The given functions are f(x) = 2x +1 and g(x) = -x².
<h3>What is the function?</h3>
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here,
(f·g)(x) = f(x) × g(x)
= (2x +1) × (-x²)
= 2x × (-x²) + 1 × (-x²)
= -2x³ - x²
Therefore, the value of (f·g)(x) from the given function is -2x³ - x².
To learn more about the function visit:
brainly.com/question/28303908.
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"Your question is incomplete, probably the complete question/missing part is:"
If f(x) = 2x +1 and g(x) = -x², then find (f·g)(x).
