Solve for the unknown using principles of equations: а. бх + 8 — За 3D — 8а — 10 + х 0.00 Rounded to two decimal places b. 3 (7x – 21) = 4 – 3 (x + 8) 0.00 Rounded to two decimal places с. (2 + 5) (3 + 4г) — 25 — 5.5 (г + 3) 0.00 Rounded to two decimal places
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- You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. 1. determine if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? (Hint: use Pythagorean Theorem or distance formula) Distance between two red dots is:________________ . (5 pts) We know that the radius of the hearing zones are:…You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…
- At the grocery store, 70% of the different types of juice come in a bottle holding at least 400 milliliters (mL) and 40% of the different types of juice come in a low-sugar version. Only 25% of the juice varieties are in bottles holding at least 400 mL and have a low-sugar version. using this information find a solution to the problem.Solve for the 'x' with the given below in system of equations:Equation 1: x + 2y + 3zi = 20 + 5iEquation 2: 5x - 3yi + 12z(1-2i) = -50 - 180iEquation 3: x + yi + 2z = 20 - 10iConsider the equation below. 4x2 + y2 + 4z2 − 4y − 32z + 64 = 0Reduce the equation to one of the standard forms. and answer 2nd part
- I cannot solve this IVP, I have tried all I know and still am drawing blanks. #4, with the IVP: y''' + y'' = 5x + 7e^(-x) , y(0)=1,y'(0)=0, y"(0)=1Equation: 150x-66y+10z=1500 1x+120y-55z=1200 1x-75y+110z=-900 Using Gauss-Seidel Method, determine X3, Y3, Z3 if initial guess X1= 1, Y1= 1, Z1= 1.For the equation 3x^2 u'' + 2xu' = x, u(0) = 0 u(1) = 0, find the approximate solutions at the points x=0.25 x=0.5 and x=0.75 by taking h = 0.25 and finding the real solution calculate the error. (DON'T USE CHATGPT, ONLY SOLUTIONS BY YOURSELF, THEN I PROMISE I WILL UPWOTE)
- solve using the appropriate method.xy = 2y + x − 1, y (3/2) = 9x - 2y +3z =17 2x + y +z = 9 -3x +2y - 2z = -19 solve for x,y,z3. Two brothers decide to invest in a vacant lot which cost $51 000. The first brother contributes $1000 more than one-quarter of what the second brother contributes. How much does each brother contribute?a. B1 = 11000, B2 = 40000b. B1 = 40000, B2 = 11000c. B1 = 12500, B2 = 38500d. B1 = 50000, B2 = 10000e. B1 = 1000, B2 = 50000 4. Solve for x and y: 4x + 9y = 72, 6x + 15y = 90a. x = 45, y = -12b. x = -45, y = 12c. x = 45, y = 12d. x = -45, y = -12e. x = -45, y = -15