He would travel 67 1/2 miles in an hour.
Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
Answer:
13
Step-by-step explanation:
Given the equation h(x) = 2x²
To solve for h(-2) + 5 then, we need to break the problem into two parts
First, we will solve for the function h(x) at x = -2
h(x) = 2x² so
h(-2) = 2(-2)²
h(-2) = 8
Knowing this, we can plug 8 into our original expression for h(-2)
8 + 5
This gives us 13
Answer: 512 cm³
Explanation: Since the length, width, and height of a cube are all equal,
we can find the volume of a cube by multiplying side × side × side.
So we can find the volume of a cube using the formula v = s³.
In the cube in this problem, we have a side length of 8 cm.
So plugging into the formula, we have (8 cm)³
or (8 cm)(8 cm)(8 cm), which is 512 cm³.
So the volume of the cube is 512 cm³.
Answer:
8358.7
Step-by-step explanation:
I think. I need someone to verify
