1) We can find the magnitude of a vector(a.k.a. the norm) of a vector and the direction, by making use of the following formulas:
2) In this question, the magnitude and the direction of that vector have been given to us. So, let's do the other way around to identify which one has this magnitude and direction.
Note that since we want a positive value, we need to add 360 degrees.
New volume of mixture
= 30%/20%*30 oz
= 45 oz
Jalen must therefore add (45-30)=15 oz of water.
Answer:
Step-by-step explanation:
It is a linear homogeneous differential equation with constant coefficients:
y" + 4y = 0
Its characteristic equation:
r^2+4=0
r1=2i
r2=-2i
We use these roots in order to find the general solution:
Answer:
The cost of 27 units of electricity will be Rs. 131.10
Step-by-step explanation:
Given that:
Cost of first 20 units = Rs. 80
Cost of per unit after 20 units = Rs. 7.30
Units consumed in a household = 27 units
Bill of first 20 will be Rs. 80 and 7 units will be charged on the rate of 7.30
Cost of 7 units = 7*7.30 = Rs. 51.10
Cost of 27 units = Rs. 80 + 51.10 = Rs. 131.10
Hence,
The cost of 27 units of electricity will be Rs. 131.10
Answer:
the supply truck is carrying 9.0718474 tons