Answer:


Step-by-step explanation:


z is subtracted from w so

Magnitude is given by

The magnitude of the resulting vector is approximately
.
The angle is

The direction is approximately 
Answer: B
To find the frequency of students favorite sport you will use the equation
Number of students for each sport/total students
Basketball: 4/25 = .16
Football: 7/25 = .28
Lacrosse: 3/25 = .12
Soccer: 8/25 = .32
Volleyball: 3/25 = .12
Answer:
Option d. the initial amount of money placed in the savings account
Step-by-step explanation:
we have

This is a exponential function of the form

where
a is the initial value
r is the growth rate
(1+r) is the base
x is the number of years
f(x) is the amount of money in a savings account
In this problem we have
a=$3,005
r=0.03=3%
(1+r)=1.03
therefore
3,005 represent the initial value ( the amount of money for the value of x equal to zero)
Answer:
True.
<em>See</em><em> </em><em>below</em><em> </em><em>for</em><em> </em><em>explanation</em><em>.</em><em> </em>
Step-by-step explanation:
<u>Reason</u><u> </u><u>1</u>
- When we solve the equation by combining both equations in one, the variable will become 0.
<u>Proof</u>

Combine like terms.

See that the equation is false no matter which numbers you substitute in x-term.
<u>Reason</u><u> </u><u>2</u>
- Both graphs are parallel and don't have any intercepts to each others.
<em>See the attachment below for graphs</em>.
Since both graphs do not really have intercepts, that means they do not provide any solutions. Hence, no solutions.
Since, population of species A is represented by : 
Let us find the population of species A, at the end of week 1:
i.e., x = 1
i.e., 
i.e., 
i.e., 
Also, since population of species B is represented by : 
Let us find the population of species B, at the end of week 1:
i.e., x = 1
i.e., 
i.e., 
i.e., 
Thus, at the end of 1 week, species A and species B will have the same population.
Hence, option D is correct.