I looked it up for you and Your answer is 70
In x^7•x^4, how many x’s are multiplied together? (There’s 7 in the first factor and 4 in the second.)
x^7•x^4 = x^__? This is your a-value.
Similarly, y^2•y^5 = y^__? How many y’s are there in total being multiplied? This is your b-value.
Answer:
Yes
Step-by-step explanation:
One triangle can be bigger then another and still have the same angle measure.
I don't get the question? It already says the height?
4 is the maximum depth of the trough so we expect the answer to be less than 4. As the cross section of the trough has the shape y = x², then the width of the water level at any depth y is 2x.
Let a to b be the water depth, σ is the weight density of the fluid (water), y is the depth of water at any level and the width of water at that level is w(x).
The fluid force against the walls of the trough equals :-
b
∫σyw(x) dx. . . . a = 0 and b is the desired depth, y = x², w(x) = 2x a
b
∫62.5 * x² *2x dx = 62.5 * 2 ∫x³ dx = 125 * ¼x⁴ = 31.25x⁴ 0
As the lower level as zero, we now have :-
31.25b⁴ = 779.423
b⁴ = 24.941536
b = 2.23476 ft . . . which is the required depth of water.