Answer:
Step-by-step explanation:
m(t)=t³-12t²-144t
Take the derivative of t:
t'=3t²-24t-144
Set it to 0:
3t²-24t-144=0
Solve for t:
t²-8t-48=0
(t-12)(t+4)=0
t=12 or -4
On a graph, you'll find that the maximum value occurs at t=-4 ..............
Answer:
214....
Step-by-step explanation:
If the question is : solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to minus 3 by 4 + 2 by 243 raise to minus 1 by 5
The given expression can be written as:
4/(216)-2/3+1/(256)-3/4+2/(243)-1/5
This expression has three terms.
Notice that the exponents are negative:
We will change the division into multiplication so that the exponents will become positive;
4*(216)^2/3+ 1*(256)^3/4+ 2*(243)^1/5
If we multiply 6 three times it will give us 6^3=6*6*6=216
If we multiply 4 four times it will give us 4^4=4*4*4*4=256
If we multiply 3 five times it will give us 3^5=3*3*3*3*3=243
So we will write it as:
=4*(6^3)^2/3+ 1(4^4)3/4 +2(3^5)^1/5
=4(6)^2+(4)^3+2(3)
=4*36+64+6
=144+64+6
=214
The answer is 214....
Answer: x = 4
Step-by-step explanation:
2x - 3 + 4x = 21
6x - 3 = 21
6x - 3 (+3) = 21 (+3)
6x = 24
24/6
x = 4
Answer:
An equivalent expression to p - 0.20p is 0.8p Hope this helps :)
Answer:
167.2 m/sec
Step-by-step explanation:
Convert 602 km/hr to m/sec, as follows:
602 km 1000 m
------------ * ----------------- = 602,000 m/hr
hr 1 km
Recall that 1 hr = 3600 sec. Convert 602,000 m/hr to m/sec:
602,000 m 1 hr
------------------ * ---------------- = 167.2 m/sec
1 hr 3600 sec