An equation that shows the relationship between speed and time is 
<u>Given the following data:</u>
To write an equation that shows the relationship between speed and time:
<h3>What is speed?</h3>
Speed can be defined as the distance covered by a physical object per unit of time. Thus, the cyclist's speed can be measured as miles per minutes.
Mathematically, speed is given by this formula;

Substituting the given parameters into the formula, we have;

Read more on speed here: brainly.com/question/10545161
C-4>2c
minus c from both sides
c-c-4>2c-1c
0-4>c
c<-4
c can be any number less than -4
Answer: -1/5
Step-by-step explanation:
the equation to solve slope with two points is the y coordinate in the second point minus the y coordinate in the first point over the x coordinate in the second point minus the x coordinate in the first point so this one would be
(-2 - -1)/(12-7)
On the top you subtract a negative it becomes a positive and you get -1/5
Answer:
14ft
First get the cones volume formula v=(3.14*r^2*h)/3
Second find the radius which is 1/2 the diameter.
Third plug in given and solve 366= (3.14*5^2*h)/3
366*3=3*(3.14*25*h)/3
1098=78.5h
1098/78.5=78.5h/78.5
13.987=h
Answer:
The fifth degree Taylor polynomial of g(x) is increasing around x=-1
Step-by-step explanation:
Yes, you can do the derivative of the fifth degree Taylor polynomial, but notice that its derivative evaluated at x =-1 will give zero for all its terms except for the one of first order, so the calculation becomes simple:

and when you do its derivative:
1) the constant term renders zero,
2) the following term (term of order 1, the linear term) renders:
since the derivative of (x+1) is one,
3) all other terms will keep at least one factor (x+1) in their derivative, and this evaluated at x = -1 will render zero
Therefore, the only term that would give you something different from zero once evaluated at x = -1 is the derivative of that linear term. and that only non-zero term is:
as per the information given. Therefore, the function has derivative larger than zero, then it is increasing in the vicinity of x = -1