Answer:
answer: 5^36
Step-by-step explanation:
(5^9)^4
5^9x4
5^36
answer: 5^36
alternative form 1.45519x 10^25
Answer:
Step-by-step explanation:
Question One
Multiply through by 2
2*1/2 * (2x + y ) = 21/2 * 2
Combine
2x + y = 21
Subtract 2x from both sides
y = 21 - 2x
Now equate the two given equations
y = 21 - 2x
y = 2x
Add 2x to both sides
2x = 21 - 2x
2x + 2x = 21
4x = 21
x = 21/4
x = 5 1/4
or
x = 5.25
Question 2

multiply numerator and denominator of the second fraction by (x + 2)
Remove the numerator brackets in the right hand fraction. Look out for the minus sign.

You say that there is uniform acceleration so:
vf-vi=at (final velocity minus initial velocity is equal to acceleration times time)
We know vf, vi, and t so we can solve for acceleration:
24-12=a10
12=10a
a=1.2
That is the acceleration, we will need to integrate with respect to time twice...
v=⌠a dt
v=at+vi , we know a=1.2m/s^2 and vi=12m/s
v=1.2t+12,
x=⌠1.2t+12 dt
x=1.2t^2/2+12t+xo, we can just let xo=0 for this problem...
x(t)=0.6t^2+12t
Now we know that this acceleration lasts for 10 seconds so the distance traveled in that time is:
x(10)=0.6(10^2)+12(10)
x(10)=60+120
x(10)=180 meters