If the given solutions y⃗ 1(t)=[2e3t+4e−t3e3t+10e−t], y⃗ 2(t)=[−4e3t+2e−t−6e3t+5e−t]. form a fundamental set (i. e., linearly independent set) of solutions for the initial value problem y⃗ ′=[915−4−7]y⃗ , y⃗ (0)=[−30−55], impose the given initial condition and find the unique solution to the initial value problem. if the given solutions do not form a fundamental set, enter none in all of the answer blanks.

What is the value of 1/3× + 7x, when x =5

Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. the walnuts cost $6 per pound. he uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. he solves the equation for y, the number of pounds of walnuts he can buy. answer- b tomas added 6 to both sides of the equation instead of subtracting 6. just took the test

You have a 32-foot fence around a square garden. there are 4 equal sections. you paint 13 of one section of the fence. what fraction of the fence did you paint? you have a 32-foot fence around a square garden. there are 4 equal sections. you paint 13 of one section of the fence. what fraction of the fence did you paint?