Answer: 300 cubic inches
Explanation:
Imagine slicing the T shape into two pieces such that we have two rectangular blocks.
- The larger block down below has volume of 3*12*5 = 180 cubic inches.
- The smaller block on top has volume of 8*3*5 = 120 cubic inches
The overall volume of this T shape is 180+120 = 300 cubic inches.
The answer to your question is 40
9^8= 9x9x9x9x9x9x9x9= 43046721
9^6= 9*9*9*9*9*9=531441
43046721*531441= 228767133233961
You set up was almost accurate. Remember the arc length formula:
If f'(y) is continuous on the interval [a,b], then the length of the curve x = f(y), a ≤ y ≤ b should be;
L = ∫ᵇ ₐ √1 + [f'(y)]^2 * dy
We have to find the length of the curve given x = √y - 2y, and 1 ≤ y ≤ 4. You can tell your limits would be 1 to 4, and you are right on that part. But f'(y) would be rather...
f'(y) = 1/(2√y) - 2
So the integral would be:
∫⁴₁ √1 + (1/(2√y) - 2)² dy
Using a calculator we would receive the solution 5.832. Their is a definite curve, as represented below;
Answer:
The number of bacteria in 0.25 mL is 6.25 x 10^3.
Step-by-step explanation:
5 liter flask contains 1.25 x 10^8 bacteria.
So, 1liter flask contains =
Now
0.25 mL contains =