Answer:
880 high-quality version
Step-by-step explanation:
I think the below is your full question:
<em>A Web music store offers two versions of a popular song. The size of the standard version is 2.1megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1290 downloads of the song, for a total download size of 4821 MB. How many downloads of the high-quality version were there?</em>
Here is my answer:
Let x is the number of high-quality version
So the number of standard version= 1290 - x
We also know: total download size of 4821 MB. which means:
4.5x + 2.1(1290-x) = 4821
<=> 4.5x+2709-2.1x=4821
<=> 2.4x=2112
<=> x=880
So there were 880 high-quality version
second side = x
first side = 3x - 6
third side = (3x - 6) + 8
The perimeter = 80m and is equal x + (3x - 6) + [(3x - 6) + 8]
x + 3x - 6 + 3x - 6 + 8 = 80
7x - 4 = 80 |+4
7x = 84 |:7
x = 12 m
3x - 6 = 3(12) - 6 = 30 m
(3x - 6) + 8 = 3x + 2 = 3(12) + 2 = 38 m
Answer: 12m, 30m, 38m
$ 3042
Explanation
we need to use the formula:
Step 1
a)let
b) now, replace
therefore, the answer is
$ 3042
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:
Using the Angle Addition Postulate, 15 + 40 = m∠ABC. So, m∠ABC = 55° after simplifying.
Step-by-step explanation:
The Angle Addition Postulate is gotten from angles placed side by side to form a resulting angle that is the sum of all the individual angles.
If D is the interior of ABC then, ABC is split into two parts i.e ABD and DBC, then the measure of ABC is the sum of the individual two parts
m∠ABC = m∠ABD + m∠DBC.
Using the Angle Addition Postulate:
m∠ABC = m∠ABD + m∠DBC
m∠ABC = 15 + 40 = 55°
m∠ABC = 55°
