9.25%
3.70/40= 0.0925
0.0925x100= 9.25%
Answer:
- -108.26
- -108.13
- -108.052
- -108.026
- -108
Step-by-step explanation:
A graphing calculator or spreadsheet is useful for making the repeated function evaluations required.
The average velocity on the interval [a,b] will be ...
v avg = (y(b) - y(a))/(b-a)
Here, all the intervals start at a=3, so the average velocity for the given values of t will be ...
v avg = (y(3+t) -y(3))/((3+t) -3) = (y(3+t) -y(3))/t
This can be computed for each of the t-values given. The results are shown in the attached table.
__
We note that the fractional part of the velocity gets smaller in proportion to t getting smaller. We expect it to go to 0 when t goes to 0.
The estimated instantaneous velocity is -108 ft/s.
_____
We can simplify the average velocity equation to ...
v avg = ((48(3+t) -26(t+3)^2) -(48(t+3) -26(3)^2)) / t
= (48t -26(t^2 +6t))/t
= 48 -26t -156
<em> v avg = -108 -26t</em>
Then the average velocity at t=0 is -108.
Answer:
I thank that Jordan will buy 5 packs of hamburgers and he would buy 3 bags of hamburger buns. And each student can have 1 each.
Step-by-step explanation:
sorry if its wong
Let's assume that the original length of the piece of board is L.
Now you cut two pieces that are 3.4 ft long, so the remaining piece of board is:
L - 3.4ft - 3.4ft = L - 6.8ft long.
Now we know that the remaining must be 2.35 times longer than the pieces of 3.4 ft, then we have the equation:
( L - 6.8ft) = 2.35×3.4ft
solving that for L we get:
L = 14.79ft
Rounding to the nearest tenth, we get:
L = 14.8ft
You should buy a piece of board that is 14.8 feet long.
If you want to learn more, you can read:
brainly.com/question/22293035
Answer:
<em>The measure of the angles is 45° and 135°</em>
Step-by-step explanation:
When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.
Let's call x and y the two required angles. Knowing they form a linear pair:
x+y=180
We also know one angle is 1/3 of the other angle, thus:
x=y/3
Or, equivalently:
3x=y
Substituting y into the first equation:
x+3x=180
Simplifying:
4x=180
Solving:
x=180/4=45
The other angle is:
y=3x=3\cdot 45=135
Thus the measure of the angles is 45° and 135°
