Hello
The equation to find the volume of a cube is a^3 Our a is 4, which means that our equation is 4^3 4 to the power of 3 is 64, which gives us our volume.
Lastly we must do 64x3,which gives us 192. This means the third box has a volume of 192in^3.
I HOPE THIS HELPS & GOOD LUCK!!! <3
Answer:
I believe it is 21
Step-by-step explanation:
These triangles are congruent because of SAS so therefore 3x-5 =2x+1 and x=6
Step-by-step explanation:
a)
dy/dx = 4x √(1 − y²)
Separate the variables:
dy / √(1 − y²) = 4x dx
Integrate:
sin⁻¹ y = 2x² + C
Solve for y:
y = sin(2x² + C)
b)
Plug in initial value.
4 = sin(0 + C)
Sine cannot be greater than 1, so there is no solution.
one way is to solve for the invers of the first function
remembe, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f⁻¹(x)
A.
f(x)=x/2+8
y=x/2+8
x=y/2+8
x-8=y/2
2x-16=y
f⁻¹(x)=2x-16
nope, not A
B.
f(x)=3x³+16
y=3x³+16
x=3y³+16
x-16=3y³
(x-16)/3=y³
∛((x-16)/3)=y
f⁻¹(x)=∛((x-16)/3)
nope, not the same
not B
C.
f(x)=18/x-9
y=18/x-9
x=18/y-9
x+9=18/y
y(x+9)=18
y=18/(x+9)
f⁻¹(x)=18/(x+9)
correct, the answer is C
answer is C