The area of the rect. is 100 ft times 64 ft, or 6400 ft^2.
Let's list factors of 6400: 64,100
64= 2^6
100= 2^2*5^2
Here we see that 2 appears 8 times as a factor, and 5 appears 2 times:
6400 = 2^6 * 10^2 = 2^8*5^2
We need to find the derivative of that equation with respect to x. The derivative of x^3 is 3x^2, the derivative of 3x^2 is 6x, and the derivative of any constant is always 0. Use the power rule for derivatives that says

. Our derivative, then, is

.
Answer:Ok, we have:
d(t) = 3*t^2 + 5*t - 2.
The first interval is:
(2, 3)
and remember that, for an interval (a,b), the difference quotient is:
D = (f(b) - f(a))/(b -a)
Then in this first interval we have:
So the average rate of change in (2,3) is 20.
now, in (2, 2.5) we have:
So here the rate of change is 9.25
And in the interval (2, 2.1) we have:
So in this interval the rate of change is 1.73
Step-by-step explanation: hope this helps luvv
Answer:
a) 8²
b) 2⁴ and 5⁴
Step-by-step explanation:
The power of a number is the base together with the exponent of the number.
The given expresion is

We can rewrite this as:

Over here the power being multiplied is

Also, the powers being multiplied in

are 2⁴ and 5⁴
Answer:
B
Step-by-step explanation:
The equation of a horizontal line is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (- 3, 8 ) with y- coordinate of 8, thus
y = 8 ← equation of horizontal line