Answer:
![\large\boxed{\sqrt[3]{\left(\dfrac{15}{4}\right)^2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Csqrt%5B3%5D%7B%5Cleft%28%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%5E2%7D%7D)
Step-by-step explanation:
![a^\frac{n}{m}=\sqrt[m]{a^n}\\---------------------\\\\\left(5\times\dfrac{3}{4}\right)^\frac{2}{3}=\left(\dfrac{5\times3}{4}\right)^\frac{2}{3}=\left(\dfrac{15}{4}\right)^\frac{2}{3}=\sqrt[3]{\left(\dfrac{15}{4}\right)^2}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7Bn%7D%7Bm%7D%3D%5Csqrt%5Bm%5D%7Ba%5En%7D%5C%5C---------------------%5C%5C%5C%5C%5Cleft%285%5Ctimes%5Cdfrac%7B3%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Cleft%28%5Cdfrac%7B5%5Ctimes3%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Cleft%28%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Csqrt%5B3%5D%7B%5Cleft%28%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%5E2%7D)
Answer:
Step-by-step explanation:
![\left(5^\frac{3}{4}\right)^\frac{2}{3}\\\\\text{Use}\ (a^n)^m=a^{nm}\\\\5^{\frac{3}{4}\cdot\frac{2}{3}}=5^{\frac{1}{2}\cdot\frac{1}{1}}=5^\frac{1}{2}=\sqrt[2]5=\sqrt5](https://tex.z-dn.net/?f=%5Cleft%285%5E%5Cfrac%7B3%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5Ctext%7BUse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C5%5E%7B%5Cfrac%7B3%7D%7B4%7D%5Ccdot%5Cfrac%7B2%7D%7B3%7D%7D%3D5%5E%7B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cfrac%7B1%7D%7B1%7D%7D%3D5%5E%5Cfrac%7B1%7D%7B2%7D%3D%5Csqrt%5B2%5D5%3D%5Csqrt5)
Answer:
100 percent increase
Step-by-step explanation:
1st garden
Length = 6 ft
Width = 4 ft
Perimeter = 2 (l+w)
= 2 (6+4) = 2(10) = 20
2nd garden
The length and width are 2 times the 1st garden
Length = 2 *6 = 12
Width = 2 *4 = 8
Perimeter = 2 (l+w)
= 2 (12+8) = 2(20) = 40
Percent change = (new - old )/old * 100 percent
The 1st garden is the old garden = 20 and the 2nd garden is the new garden = 40
Substituting in
Percent change = (40-20)/20 = 20/20 =100 *100 percent
= 100 percent increase
Answer:
$1785
Step-by-step explanation:
you have to multiply the monthly rent by 2 since she has to pay the first and last months rent and then add the $355 security deposit
X is 9
12x + 17 = -1 + 14x
18 = 2x
x = 9
A. never true
B. never true
C. true
D. true
E. never true
