Let d = the number of dimes. Let q = the number of quarters. What is known... d * $0.10 + q * $0.25 = $1.95 and... q = d - 2 Substitute the above equation for q into the first equation. That gives an equation only in d. Solve for d. Then plug that value into the second equatio...
In the explanation, the angle x and the x length are different items.
a) let x = the x length let y = the y length let r = the length from the origin to the x,y point. r^2 = x2 + y^2 sine of x = y/r so y and r are given in the problem. solve for x. cosine of x = x/r
For the pseudocode you need to know if variables passed to the module are passed by reference or passed by value. It is likely that they are passed by value. Look at all your display statements. Think what each will show. The "Display" function probably adds end of l...
First calculate the volume of the carton. Then calculate the volume of the tank on the truck. Be careful. The dimensions of the tank on the truck are in feet while the dimensions of the cartons are in inches.
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a_n = 21 + (n-1)*(-8) Expand that using the distributive law. The first term, 21, is not multiplied by -8. Only the terms in parenthesis are multiplied by -8.
You are close. You have an error: Your step: a_n = 21 + (n - 1) - 8 should be: a_n = 21 + (n - 1) * (-8)
7.53 x 10^3 =7.53 x 1000 = ?
One method to solve this is conservation of energy. initial kinetic energy = final potential energy let m = mass of stone let g = acceleration of gravity let v = initial velocity let h = maximum height (1/2)mv^2 = mgh So, v^2 = 2gh h = (v^2)/g