Answer:
505/19
Step-by-step explanation:
Easy
so [3^3-(1/2)^(-3)*(1/19)]
simplify
3^3-8/19
3^3=27
27-8/19
convert element to fraction
(27*19)/19-8/19
combine
(27*19-8)/19
505/19
Have a wonderful day ask me if you have more questions about MATH that goes for anyone who needs math help
Answer:
d/dt(dx/dt)=K(dx/dt)^2
Step-by-step explanation:
Since, a is proportional to v^2; and a=d/dt(dx/dt) and v= dx/dt since they are instantanious acceleration and velocity respectively.
K=(d^x/dt^2)(dt/dx)^2
571,082,346,090 in word form would be Five hundred seventy one billion eighty two million three hundred forty six thousand ninety.
Answer:
11 is 405, 12 is 107.5, 13 im not sure of
Step-by-step explanation:
First on 11 you can just do 21*21 (the big square) and subtract that by 36 (which is 6*6, the small square), you'll get 107.5.
Then on 12, it is made up of a large rectangle, a small triangle, and a flatter triangle. The top triangle's formula is 1/2(7*3) which = 10.5. The big rectangle is 13*7 = 91. The last triangle is 1/2(4*3) which = 6. It is 3 because 13-10. Add all those up and you should get 107.5.
And I just want to know on number 13 if that 11 is the radius or diameter. I can't seem to tell.
This can be solved in two ways: With heavy tools or with just algebra.
What is your level? Have you studied calculus?
With pure algebra:
We need to find the maximum of the function <span>h = −16t^2 + 36t + 5
Lets take out -1 for simplicity:
</span><span>h = −(16t2 - 36t - 5)
For now lets just work with this: </span>16t^2 - 36t - 5
16t^2=(4t)^2
(4t-x)^2= 16t^2-2*4xt+x^2
we have -36t so x should be 4.5 as 2*4*4.5=36
Lets see what we have now:
16t^2 - 36t - 5= (4t-4.5)^2 is this true? No but close
(4t-4.5)^2= 16t^2- 2*4*4.5t +4.5^2= 16t^2-36t+20.25
16t^2 - 36t - 5 and 16t^2-36t+20.25 nearl the same just take away 25.25 from the right hand side
Getting long, just stay with me:
16t^2 - 36t - 5= (4t-4.5)^2 - 25.25
h= -{(4t-4.5)^2 -25.25}
h=-(4t-4.5)^2 + 25.25
We want to find the maximum of this function. -(4t-4.5)^2 this bit is always negative or 0, so it maximum is when it is 0. Solve: 4t-4.5=0
t=1,125
