Answer:
2500 kg/m³
Step-by-step explanation:
Density of a material is the ratio of mass and volume of that material.
The S.I unit for density is grams per centimeters cubed (g/cm³) or kilograms per meter cubed (kg/m³)
Given density as 2.5 g/cm³ , convert to kg/m³
Formula is;
1g/cm³ = 1000 kg/m³
2.5 g/cm³=? cross-multiply
=2.5×1000 = 2500 kg/m³
Answer:
below
Step-by-step explanation:
5x - 3y > 30
-3y > -5x + 30 divide by negative switches the inequality
y < 5/3x - 10 y is less than 5/3x - 10 so shade below the line
Answer:
45,54,63
Step-by-step explanation:
The multiples of 9 are
9,19,27,36,45,54,63,72,81
The three multiples are 36 are
45,54,63
Answer:
g o f = ![g(f(x)) = 32x^2 + 32x + 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%2032x%5E2%20%2B%2032x%20%2B%204)
Step-by-step explanation:
Given
![f(x) = 4x +2](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%20%2B2)
![g(x) =2x^2 - 4](https://tex.z-dn.net/?f=g%28x%29%20%3D2x%5E2%20-%204)
Required:
Find g o f
This is calculated as:
![gof = g(f(x))](https://tex.z-dn.net/?f=gof%20%3D%20g%28f%28x%29%29)
![g(x) =2x^2 - 4](https://tex.z-dn.net/?f=g%28x%29%20%3D2x%5E2%20-%204)
So:
![g(f(x)) = 2(4x+2)^2 - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%284x%2B2%29%5E2%20-%204)
![g(f(x)) = 2(4x+2)(4x+2) - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%284x%2B2%29%284x%2B2%29%20-%204)
![g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%5B%2016x%5E2%20%2B%2016x%20%2B%204%29%5D%20-%204)
![g(f(x)) = 32x^2 + 32x + 8 - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%2032x%5E2%20%2B%2032x%20%2B%208%20-%204)
![g(f(x)) = 32x^2 + 32x + 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%2032x%5E2%20%2B%2032x%20%2B%204)
Answer:
(^6√x^5) (√y)
(The 6 belongs in the left on top of the square root btw)
For x the 6 moves to the front of the square root while the 5 becomes the power of x.
For y, the power to the 1/2 is the same as a square root.