Answer:
In bold below.
Step-by-step explanation:
Find derivative which gives the velocity:
V = h' = -32t + 28
At maxm height V = 0 so
-32t + 28 = 0
Time to reach maxm height t = -28/-32 = 0.875 seconds.
So maxm height
= -16(0.875)^2 + 28*0.875 + 8
= 20.25 ft.
Answer:
In the year 2010, the population of the city was 175,000
Step-by-step explanation:
If we rewrote this as a linear expression in standard form (it is linear, btw), it would look like this:
The rate of change, the slope of this line, is 11/2. If the year 2010 is our time zero (in other words, we start the clock at that year), then 0 time has gone by in the year 2010. In the year 2011, t = 1 (one year goes by from 2010 to 2011); in the year 2012, t = 2 (two years have gone by from 2010 to 2012), etc. If we plug in a 0 for t we get that y = 175,000. That is our y-intercept, which also serves to give us the starting amount of something time-related when NO time has gone by.
Hi There!
Alright- Lets do this!
#1: PEMDAS
P
E
M/D
A/S
(8 + 7) - (8 x 9) + 800 + (50 + 90) + (8 x 9) - (11 - 25)
P - Parentheses
15 - 72 + 800 + 140 + 72 - (-14)
E - Exponents
There are none
M- multiply
there are none
D-Divide
There are none
Add
<span>15 - 72 + 800 + 140 + 72 - (-14)
</span>15 - (72+800+140+72 + 14)
*Note: subtracting a negative number is the same as adding it!*
15-1098
S - subtract
Answer: -1083
Hope this helped!