Step-by-step explanation:
Area of base of cube

First, we get the area of the whole rectangle, easy enough:
18 * 16 = 288 cm²
Now, for the area of the circle, we use the circle area formula:
Area = pi * r²
Area = 3.14 * 6² = 3.14 * 36 = 113.04cm²
Now we substract the circle area from the rectangle area:
Shaded region = 288 - 113.04 = 174.96cm²
Answer:
A because
A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t)=2t^3−9t^2−60t+4. What is the total distance traveled by the particle over the time interval 0≤t≤7 ?
Step-by-step explanation:
make me brainliest
Answer:
0.26666666666
Step-by-step explanation:
because u have to multiply it and that's your answer
Missing information :
The model was omitted from the question ; the possible model relating to the question was browsed online and could possibly be :
N(t) = 1.07t^2.3 for 0 ≤ t ≤ 10 months
Answer:
30.9 cases per month
Step-by-step explanation:
Given the model to determine the number of rats that have developed cancer after initial exposure ; N(t) = 1.07t^2.3
N(t) = 1.07t^2.3
Take the first derivative of N with respect to t to obtain the rate of change ;
N'(t) = (1.07)(2.3)t^2.3-1
N'(t) = (1.07)(2.3)t^1.3
The rate of growth of cancer cases at the 7th month can be calculated thus :
t = 7
N'(7) = (1.07)(2.3)t^1.3
N'(7) = 1.07 * 2.3 * 7^1.3
N'(7) = 1.07 * 2.3 * 12.549529
N'(7) = 30.884
The rate of growth of cancer at the 7th month is 30.9 cases per month.