Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function. But we can use the same idea. When t = 3, h(t) = 33, so the coordinate point is (3, 33). When t = 6, h(t) = 0, so the coordinate is (6, 0). Plug those values into the slope formula:
and
which is -11
From 3 to 6 seconds, the rocket is falling 11 yards per second.
The answer is $24.41
Step 1. Calculate the area of the <span>circular piece of fabric.
Step 2. Multiply the area of the piece by the price of </span><span>$5.40 per ft² to get the total cost.
Step 1.
The area (A) of the circle with radius r is:
A = </span>π r²
π = 3.14
r = 1.2 ft
A = 3.14 * (1.2 ft)²
A = 3.14 * 1.44 ft²
A = 4.52 ft²
Step 2.
Make a proportion
1 ft² costs $5.40
4.52 ft² cost x
1 ft² : $5.40 = 4.52 ft² : x
x = 4.52 ft² * $5.40 / 1 ft²
x = $24.41
Answer:
14,850
Step-by-step explanation:
You need the sum of
3 + 6 + 9 + 12 + ... + 294 + 297
Factor out a 3 from the sum
3 + 6 + 9 + 12 + ... + 294 + 297 = 3(1 + 2 + 3 + 4 + ... + 98 + 99)
You need to add all integers from 1 to 99 and multiply by 3.
The sum of all consecutive integers from 1 to n is:
[n(n + 1)]/2
The sum of all consecutive integers from 1 to 99 is
[99(99 + 1)]/2
The sum you need is 3 * [99(99 + 1)]/2
3 + 6 + 9 + 12 + ... + 294 + 297 =
= 3 * [99(99 + 1)]/2
= 3 * [99(100)]/2
= 3 * 9900/2
= 14,850
Can we get a clearer pic?
