The volume of the tank is (70 cm)³ = 343,000 cm³.
Now,
1 mL = 1 cm³
1 L = 1000 mL
so we convert the given rate to
![\dfrac{7\,\rm L}{1\,\rm min} \cdot \dfrac{1000\,\rm mL}{1\,\rm L} \cdot \dfrac{1\,\mathrm{cm}^3}{1\,\rm mL} = \dfrac{7000\,\mathrm{cm}^3}{1\,\rm min}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%5C%2C%5Crm%20L%7D%7B1%5C%2C%5Crm%20min%7D%20%5Ccdot%20%5Cdfrac%7B1000%5C%2C%5Crm%20mL%7D%7B1%5C%2C%5Crm%20L%7D%20%5Ccdot%20%5Cdfrac%7B1%5C%2C%5Cmathrm%7Bcm%7D%5E3%7D%7B1%5C%2C%5Crm%20mL%7D%20%3D%20%5Cdfrac%7B7000%5C%2C%5Cmathrm%7Bcm%7D%5E3%7D%7B1%5C%2C%5Crm%20min%7D)
Then the time it will take to fill up the tank is
![343,000\,\mathrm{cm}^3 \cdot \dfrac{1\,\rm min}{7000\,\mathrm{cm}^3} = \boxed{49\,\rm min}](https://tex.z-dn.net/?f=343%2C000%5C%2C%5Cmathrm%7Bcm%7D%5E3%20%5Ccdot%20%5Cdfrac%7B1%5C%2C%5Crm%20min%7D%7B7000%5C%2C%5Cmathrm%7Bcm%7D%5E3%7D%20%3D%20%5Cboxed%7B49%5C%2C%5Crm%20min%7D)
Answer:
y = 3x + 1
Step-by-step explanation:
y = 3*0 + 1 = 1
3*1 + 1 = 4
3*2 + 1 = 7
and so on
Answer:
Her sister read the greater fraction of the book
Step-by-step explanation:
Melanie = 45/100 = 9/10
Sister = 5/10 = 50/100
Answer:
Not inverse between each other
Step-by-step explanation:
To determine if two mathematical functions are inverse between each other, you should verify that: for function f(x) and h(x)
- f(h(x)) = x for all and each x within h domain
- h(f(x)) = x for all and each x within f domain
So we should verify that we will obtain the same result when doing f(h(x)) and h(f(x)), if so, then both function are inverse between each other
f(x) = (2-1)/2x h(x) = -2x + 4
f(h(x)) = (2-1)/2(-2x+4) h(f(x)) = -2[(2-1)/2x] + 4
f(h(x)) = (2-1)/-4x+8 h(f(x)) = [(-4+2)/2x] + 4
f(h(x)) = (2-1)/8-4x h(f(x)) = (-4+2+8x)/2x
h(f(x)) = (8x-2)/2x
As we finally found that f(h(x)) ≠ h(f(x)), so both functions are not inverse between each other
Answer:
Yes
Step-by-step explanation: