Answer:
a)
v=<400, 450+3t, 600-9.81t> m/s
r=<400t, 450t+3
/2, 15+600t-9.81/2> m/s
b) attach file
c) t=122.324s
d) z=18369.9854 m
Step-by-step explanation:
a)
The equation for velocity of each component is v=
+at, in this case the x-axis component has acceleration 0
, the y-axis component has acceleration 3 and the z-axis component has -g, where g=9.81.
The equation for position of each component is x=
+t+a/2,
with <, 
,
>=<0,0,15>.
c) This time is t when z=0, with positive sign.
d)Solving the equation 
=
+ 2*a*(z-) for z, with 
=0.
The answer to your question is 2/11
Answer:
727.65
Step-by-step explanation: The markup is 5%of the selling price, so multiply the selling price by 0.05 for 5%, you get 34.65. Add that to the selling price, and you get 727.65 as your total.
Answer:
1.98
Step-by-step explanation:
Weight on earth/ 9.81 m/s^2 * 1.622m/s^2
Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
