(a2b3)4 =
<span><span><span>
a^2</span><span>b^3</span></span><span>(4)</span></span><span>
=<span><span>4<span>a^2</span></span><span>b^3
Hoped I helped!</span></span></span>
-- A "mixed number" is (a whole number) plus (a fraction).
-- Two mixed numbers = (two whole numbers) and (two fractions).
-- The smallest whole number is ' 1', so when you add up all of that,
the smallest possible sum is (2) plus (two fractions).
-- So the sum must always be greater than 2 .
============================================
<em>THAT'S IF BOTH MIXED NUMBERS ARE POSITIVE </em>.
<em>If one of them is negative</em>, then it's easy to do:
(3 and 1/2) + negative (1 and 1/2) = <u>2</u>
(25 and 7/10) + negative (23 and 7/10) = <u>2</u>
Answer:
18.6
Step-by-step explanation:
We are given that
![22=32e^{-0.02k}](https://tex.z-dn.net/?f=22%3D32e%5E%7B-0.02k%7D)
We have to find the value of k.
Divide by 32 on both sides then we get
![\frac{22}{32}=e^{-0.02k}](https://tex.z-dn.net/?f=%5Cfrac%7B22%7D%7B32%7D%3De%5E%7B-0.02k%7D)
![\frac{11}{16}=e^{-0.02k}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B16%7D%3De%5E%7B-0.02k%7D)
Taking ln on both sides then we get
![ln\frac{11}{16}=-0.02k](https://tex.z-dn.net/?f=ln%5Cfrac%7B11%7D%7B16%7D%3D-0.02k)
![lne=1](https://tex.z-dn.net/?f=lne%3D1)
![ln11-ln16=-0.02k](https://tex.z-dn.net/?f=ln11-ln16%3D-0.02k)
![log\frac{m}{n}=logm-logn](https://tex.z-dn.net/?f=log%5Cfrac%7Bm%7D%7Bn%7D%3Dlogm-logn)
![2.398-2.77=-0.02k](https://tex.z-dn.net/?f=2.398-2.77%3D-0.02k)
![-0.372=-0.02k](https://tex.z-dn.net/?f=-0.372%3D-0.02k)
![k=\frac{-0.372}{-0.02}=18.6](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B-0.372%7D%7B-0.02%7D%3D18.6)
Hence, the value of k=18.6
Answer:
3456 inches
Step-by-step explanation:
96 yards is equal to 288 feet(96 *3=288)
and 288 feet is equal to 3456 inches(288*12=3456)
$78 without tax multiplied by 1.25 or 25% is $97.5 sales tax makes them $107.25