This is the theory of exponential growth. Given that the an athlete is training to run marathon and she plans to run 2 miles in the first week and increase the distance by 8%. The function modeling how far she will run the nth week will be given by
nth=ae^(bx)
nth=2e^(0.08x)
where x is the nth time.
The answer is 40.4
When you take a percent of the number you make that percent into the hundreds place. For example 40% of 101, you would do .40 x 101 to get 40.4
Answer:
The correct answer is second quadrant.
Step-by-step explanation:
Vertices of J ≡ (3 , -5) which shows J is in fourth quadrant. When J is reflected across the line y = -1, the point J moves to first quadrant as J' with coordinates (3 , 3).
Vertices of K ≡ (-8 , -1) which shows K is in third quadrant. When K is reflected across the line y = -1, the point K remains where it is (in the third quadrant) as it is on the line y = -1 only.
Vertices of L ≡ (5 , 1) which shows L is in first quadrant. When L is reflected across the line y = -1, the point L moves to fourth quadrant as L' with coordinates (5 , -3).
Thus each of the first, fourth and third quadrant contains a vertex except the second quadrant.
Answer:
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Solution
- The question gives us a composite figure made up of a cylinder and a cube.
- We are required to find the volume of the cylinder and the cube and then use the results to find the volume of the composite figure.
- The formulas needed for this calculation are:

- With the information above, we can proceed to solve the question
Volume of the Cylinder:

Volume of Cube:

Volume of Composite Figure:

Final Answer
The volume of the composite shape is 842.04 cm³