Answer:
f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.
Step-by-step explanation:
The function of the form
where and
is called the exponential decay function.
If we replace base 'b' by 1 - r, then we get the decay function of the form
y = abˣ
where 0 < b < 1
- <em>Please note that an exponential function cannot have a base of 0, 1, or a negative value.</em>
Now, if we carefully observe, the function f(x) = 4(2/3)ˣ is the only option correct as
f(x) = 4(2/3)ˣ
here 0 < b < 1 and a > 0
Therefore, f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.
You can't make it proper.You can only simplify.
Step 1: Factor both the numerator and denominator down to prime factors:<span>62 = 2 * 31 </span>
40 = 23<span> * 5</span>Step 2: Calculate the greatest common factor, GCF (also called greatest common divisor, GCD), by taking all the common prime factors of the numerator and denominator, by the lowest powers:gcd(2 * 31; 23<span> * 5) = </span><span>2 </span>
Step 3: Divide both the numerator and denominator by their greatest common factor, GCF (also called the greatest common divisor, GCD):62/40 =
(2 * 31)/<span>(23 * 5)</span> =
<span>((2 * 31) : 2)</span> / <span>((23 * 5) : 2)</span> =
31/<span>(22 * 5)</span> =
31/20Step 4: Improper fraction, rewrite:<span>31 : 20 = 1 and remainder = 11 => </span>
31/20<span> = </span>(1 * 20 + 11)<span> / </span>20<span> = 1 + </span>11/20<span> = 1 </span>11/20<span> as a </span>mixed number (also called mixed fraction).<span>1 + 11 : 20 = 1.55 as a </span>decimal number<span>.</span>
Answer:
<em>The amount of animal feed left was 86.4 kilograms.</em>
Step-by-step explanation:
Initial amount of animal feed in the barn was 96 kilograms.
The barn leaked and of the feed was wasted.
So, <u>the amount of feed wasted</u> kilograms.
<em>Now, for finding the amount of feed that was left, we need to subtract the amount of wasted feed from the initial amount of feed.</em>
So, the amount of animal feed left