Answer:
-1
Step-by-step explanation:
Given the equation:
Substitute into this equation:
Subtract 4:
An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green.
1 answer:
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This is the answer plz tell me if its wrong
Answer:
The volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³
Step-by-step explanation:
Total Height of the punch bowl = 10 inches
Diameter of the bowl = d = 14 inches
Since, radius is half of the diameter, the radius of the bowl would be = r = 7 inches.
The shape of punch bowl is given to be cylindrical and we have to find the volume of the bowl. The formula to calculate the volume of a cylinder is:
Here, h represents the height.
We have to find the volume to fill the bowl till 1 inch from the top. Since, the height of bowl is 10 inches, we have to fill it to 9 inches. Therefore, the value of height(h) which we will substitute in the formula will be 9. Using the values in the formula gives us:
This means, the volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³
When integrating, u-substitution is used to make things easier to work out. In u-substitution, the "u" is generally determined if its derivative is in the expression. That way when integrating with respect to "u", you can just replace the derivative of the u with "du" and easily integrate.
For this question, it would be easiest to let:
Let's take the derivative of u and see if we can work something out:
We have an x² in the integral expression, and therefore, it's valid for us to let u = 2x³. Thus, your answer is A.
For this question, it would be easiest to let:
Let's take the derivative of u and see if we can work something out:
We have an x² in the integral expression, and therefore, it's valid for us to let u = 2x³. Thus, your answer is A.