I believe it is proposition
Answer:
a)The component form is

b)The magnitude is √65
c) <2,14>
Step-by-step explanation:
Recall that:

We substitute the position vectors to get:

We subtract the corresponding components to obtain:

This gives:

This simplifies to:

The magnitude of a vector in the component form:

is

This means:

This simplifies to:


c) We have the vectors u = <4, 8>, v = <-2, 6>.
We want to find:
u+v
This implies that:
u+v=<4,8>+<-2,6>
We add the corresponding components to get;
u+v=<4+-2,8+6>
This simplifies to:
u+v=<2,14>
Answer:

Step-by-step explanation:
Given
See attachment for the containers
Required
The difference in the amount of snow cone they hold
The amount they hold is determined by calculating the volume of the containers.
The traditional snow cone has the following dimension
Shape: Cone
--- radius
--- height
The volume is calculated as:

So, we have:


The snow cone in a cup has the following dimension
Shape: Cylinder
--- radius
--- height
The volume is calculated as:

So, we have:



The difference (d) in the amount they hold is:


Take LCM



Take 




Answer:
1050, 1200, 2550 and 5100.
Step-by-step explanation:
If the first number is x then the second is x + 1/7x.
The third = x + x + 1/7x + 300 and the fourth = x + x + 1/7x + x + x + 1/7x+ 300 + 300.
So our equation is:-
8x + 4 * 1/7x + 900 = 9900
60/7 = 9000
60x = 7*9000
x = 1050.
Therefore the 4 numbers are 1050, *1/7*1050 = 1200, 2550 and 5100.
3% is equal to .03 so .03 times $350,000 equals $10,500