Answer:
(A)
(B)
(C)
Step-by-step explanation:
The manager ordered 10 lb of tomatoes, 20 lb of zucchini, and 40 lb of onions from a local farmer one week.
(A)
Matrix <em>A</em> represents the amount of each item ordered. It is 1 × 3 matrix.
Then matrix <em>A</em> is:
(B)
Next week the manager increases the order of all the products by 10%.
Then the amount of new orders are:
Tomatoes
Zucchini
Onions
Th matrix <em>B</em> represents the amount of each order for the next week. Then matrix <em>B</em> is:
(C)
Add the two matrix <em>A</em> and <em>B</em> as follows:
The entries of the matrix (<em>A</em> + <em>B</em>) represent the amount of tomatoes, zucchini and onions ordered for two weeks.
Answer:
100 cm
Step-by-step explanation:
The formula to answer this question is base x height divided by 2. All you have to do is substitute: 10x20= 200 divided by 2 is 100.
Answer:
x=8
Step-by-step explanation:
Cross multiply to solve
2/x=4/16
4*x=2*16
4x=32
Divide by 4 on both sides
x=8
So,
2/8=4/16
Hope this helps! :)
(X,Y)=(39,69) is the answer
Answer:
Step-by-step explanation:
<u>Function Modeling</u>
Since the air in the lungs goes periodically from a minimum value to a maximum value, we can simulate its behavior as a sinusoid. Selecting a sine or a cosine will depend on the initial condition we'll assume since the question doesn't provide one. We'll set the initial state when the lungs are at maximum air content. The sinusoid that starts from maximum is the cosine, so our model is
Where Ao is the amplitude of the oscillation, w is the angular frequency and M is the midline or y-displacement of the wave.
The values of A run from a min of 3.5 to a max of 4.5. That gives us twice the amplitude, thus
The vertical displacement or midline can be found as the shift from the center value:
We also know the cycle repeats 6 times per minute. If the time is expressed in minutes, then the frequency is f=6
Knowing that
Then
The model is
where t is expressed in minutes