Find the sum of the first 19 positive integers.
Fill in the blank(s) with the appropriate word(s).
190
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An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 3yConstraintsx ? 0 0 ? y ? 2 x - y ? 3 x + 2y ? 6
A. Maximum: 20; at (2, 2) B. Maximum: 31; at (4, 1) C. Maximum: 6; at (0, 2) D. Maximum: 21; at (3, 0)
Solve the equation for the unknown variable.logy
= 2
A. y = 25
B. y = 
C. y = 2
D. y = 
Answer the following statement(s) true (T) or false (F)
1. If two chords intersect, the measure of any one of the vertical angles formed is half the difference of the two arcs intercepted by the two vertical angles.
2. If two secants intersect outside a circle, the measure of the acute angle formed is half the difference of the measures of the intercepted arcs.
3. The measure of an angle formed when a chord intersects a secant line is half the measure of the arc intercepted by the chord and the secant line.
4. If 
are tangent to circle O at points B and C, respectively, then AB = AC.
Divide, and round the quotient as indicated.Divide 861.61 by 0.09 and round the quotient to the nearest thousandth.
A. 9573.944 B. 9573.444 C. 957.394 D. 957.344