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A photo is 4 inches wide. It is placed inside a frame with a border that is x inches wide. The total width of the photo and the frame is 7 inches. Write an equation to model the situation. Then solve the equation to find the width of the border.
It takes 5 hours to fill an empty tank when both outlet pipes are open. When one outlet pipe is closed, it takes 3 hours to fill the tank. Find the flow rates (in gallons per hour) in and out of the pipes.
Show that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.
For each of the following sequences a0, a1, a2, . . . , determine a closed form for the generating series A(x) = a0 + a1x + a2x2 + · ·
Dengan menanamkan modalnya dalam suatu stock tertentu. Seseorang dapat menerima keuntungan $4000 setahun dengan peluang 0,3 atau kerugian $1000 setahun dengan peluang 0,7. Tentukan nilai harapan penerimaan orang ini dari stock tersebut.
Which policies do you think are most likely to be effective in responding to climate change? Given the political resistance to taxes, what do you think would be the best strategy for achieving reduction of greenhouse gas emissions?
A truncated pyramid is what is left when a plane parallel to the base cuts off the top. If a regular hexagon pyramid is truncated half way from the base to the top, what is the volume of the truncated solid if each base edge is 36 and each lateral..
an investment club invested 9000 at 7.4 annual simple interest. how much additional money should they invest at an
a sum of 8550 is to be paid in 15 installments where each installment is 10 more than the previous installment. find
find the height of the object after 3 seconds after it is thrown upward. and find the maximum height of the object and the time it takes the object to reach this height.
What is a rational exponent? How are rational exponents related to radicals? In -49^3/2 when -343 would be the simplified answer of how an expression with a rational exponent can be rewritten as a radical expression, and simplify the expressio..
Use total differentiation to find the approximate change in the demand for your coffee with an increase in income of $5,000, if initially, Y = 40, 000, P = 3.00 and Pc = $3.50.
Find two different planar drawings of the left-hand graph of Figure 11.2, each of which has exterior face of size 3. How many faces, total, does each drawing have?
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