Okay. So first 8.25 * 20 = 165. Then you multiply 165 by 3 (165*3). 165 * 3 = 495.
Dan will earn $495 in three weeks.
Answer:
Step-by-step explanation:
This is nice and simple. I'm going to walk through it like I do when teaching this concept to my class for the first time. This is a good problem for that.
We are given a square and we are looking for the rate at which the area is increasing when a certain set of specifics are given. That means that the main equation for this problem is the area of a square, which is:
where s is a side.
Since we are looking for the rate at which the area is changing,
, we need to take the derivative of area formula implicitly:
that means that if
is our unknown, we need values for everything else. We are given that the initial area for the square is 49. That will help us determine what the "s" in our derivative is. We plug in 49 for A and solve:
so
s = 7
We are also given at the start that the sides of this square are increasing at a rate of 8cm/s. That is
. Filling it all in:
and

Answer:
11.75
Step-by-step explanation:
The required triangle is attached below :
The triangle AFE has it's by the mid segment as BD ;as B is the mid-point of line EA ; and D is the mid-point of line FA ;
HENCE, The Length of the midsegment BD = 1/2FE
Hence, BD =. 1/2 * 23.5
BD = 23.5 / 2 = 11.75
For this case, what you should know is that a linear function has a constant average rate of change, because its slope is constant.
Table number two from left to right represents a linear function.
The line is:
y-yo = m (x-xo)
Where
The slope is:
m = (0 - (- 5)) / (2-1)
m = 5/1
m = 5
The line is:
y-0 = 5 (x-2)
Rewriting:
y = 5x-10
Answer:
Table two from left to right.
The equation is:
y = 5x-10