9514 1404 393
Answer:
5z^(-5/3)
Step-by-step explanation:
The rules of exponents being used here are ...
![\sqrt[n]{a}=a^{1/n}\\\\\dfrac{a^b}{a^c}=a^{b-c}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B1%2Fn%7D%5C%5C%5C%5C%5Cdfrac%7Ba%5Eb%7D%7Ba%5Ec%7D%3Da%5E%7Bb-c%7D)
Using these rules on the given expression, we find ...
![\dfrac{10\sqrt[3]{z}}{2z^2}=\dfrac{10}{2}z^{1/3-2}=\boxed{5z^{-5/3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%5Csqrt%5B3%5D%7Bz%7D%7D%7B2z%5E2%7D%3D%5Cdfrac%7B10%7D%7B2%7Dz%5E%7B1%2F3-2%7D%3D%5Cboxed%7B5z%5E%7B-5%2F3%7D%7D)
Answer:
The sidewalk is 2 feet wide
Step-by-step explanation:
The area of the sidewalk is given as 80 square feet
The length and width of pool
including side walks will be;
10 + 2x and 6 + 2x
To get the area of the side walk
That will be area of total minus area of the pool
That will be ;
(10 + 2x)(6 + 2x) - 10(6) = 80
60 + 12x + 20x + 4x^2 - 60 = 80
4x^2 + 32x -80 = 0
x^2 + 8x -20
x^2 + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x-2)(x + 10) = 0
x = 2 or -10
since width cannot be negative;
The sidewalk is 2 feet wide
Answer:
1) you can make 32 bows
2) a. 16 b.8
Step-by-step explanation:
1) if you have 16 meters of ribbon and it takes 1/2 meters to make one now, you would divide 16 by 1/2 and get 32
2)if you divide 8 by 0.5 you get 16 and if you divide 4 by 0.5 you get 8
Answer:
the angle measurements of the polygon . angle A = 3x angle b=2x+10 Angle c =2x -15 Angle D =2x+5
Known information:
- the sum of three numbers: 24
- the smallest number is 2 less than the largest number
- the largest number is equal to the sum of the smallest and middle number.
Let us set up some variables for our terms:
- smallest number --> S
- middle number --> M
- largest number -- L
Let us set up some equations in terms of our known information
- S + M + L = 24
- S = L - 2
- L = S + M
Let us set up everything in terms of L, because in the first equation, we will be able to get rid of all the other variables but L allowing us to solve the equation:
(S + M) + L = 24 ---> L + L = 24
2L = 24
L = 12
Since L = 12, we know that S = L - 2:
S = L - 2 = 12 - 2 = 10
Since now we know that L = 12, and S = 10, and L = S + M:
L = S + M
12 = 10 + M
M = 2
So our answer is 2, 10, 12
Hope that helps!
