Answer:
30
Step-by-step explanation:
for every 1 fluid once it is 0.125 cup. So keep adding up and you will get to 240 and the amount will be 30.
So you use the distributive property. so, -3y+15=24
-3y=9
y=-3
Answer:
$3027.80
Explanation:
The compound interest formula is the following.

where
A = final amount
P = principle amount
r = interest rate / 100
n = number of compounds per interval
t = time interval
Now in our case,
A = unknown
P = $1900
r = 10.4/100
n = 12 months / year ( because the interest is compounded monthly)
t = 4.5 yrs
Therefore, the compound interest formula gives

Using a calculator, we evaluate the above to get

which is our answer!
Answer:
r = 1/2
c1 = 3/4
c2 = 27/64
c3 = 405/1408
Step-by-step explanation:
Find the solution of 4x2y′′−4x2y′+y=0,x>04x2y″−4x2y′+y=0,x>0 of the form y1=xr(1+c1x+c2x2+c3x3+⋯)
r = 1/2
c1 = 3/4
c2 = 27/64
c3 = 405/1408
The solution is attached.
Rational exponents

work like this: the numerator is the actual exponent of the base, while the denominator is the index of the root.
In other words, we have
![a^\frac{m}{n}=\sqrt[n]{a^m}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7Bm%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Ba%5Em%7D)
So, in you case, we have
![\sqrt[5]{x^3}=x^\frac{3}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D%3Dx%5E%5Cfrac%7B3%7D%7B5%7D)
Assuming that the question contanis a typo. If you actually mean
,
then you can write it as 