Answer:
I simply listed the factors of 24, and tested which ones worked in this equation: P = 2a + 2b.
So the factors listed were:
24 x 1
12 x 2
8 x 3
6 x 4
After testing each one of these, 6 and 4 had worked for me.
P = 2(6) + 2(4)
P = 12 + 8
P = 20
Therefore, the dimensions of this rectangle are 6 and 4.
Step-by-step explanation:
The period is 2.
Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi. So 2pi·1/pi = 2
The "1/2" and "+3" do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.
Answer:
15-3
Step-by-step explanation:
15x3=45 or it could be 3-15
Answer:
This statement if FALSE
Step-by-step explanation:
This question deals with the concept of competing products and how the price of a product effects its demand
There are two competing bulbs
a) Compact fluorescent light bulbs
b) Incandescent light bulbs
The first statement exclaims that the price of the product (a) decreases and this causes the demand of product (a) to increase, this would decrease the demand of product (b) as they are competitors.
To retaliate against the loss of sales of product (b) the price of product (b) is decreased, this should increase the demand of product (b) but the statement says the the demand of product (b) further decreases.
Since we know from the statement that sales were primarily driven by the price of the products, the demand of product (b) should have increased. Hence this statement is false
Answer:

Δn=3
Step-by-step explanation:
Remember, if we need to divide the interval (a,b) in n equal subinterval, then we need divide the distance (d) between the endpoints of the interval and divide it by n. Then the width Δn of each subinterval is d/n.
We have the interval [-5,7]. The distance between the endpoints of the interval is
.
Now, we divide d by 4 and obtain 
Then, Δn=3.
Now, to find the endpoints of each sub-interval, we add 3 from the left end of the interval.

So,
