Answer:
They practiced a total of 75 math facts in all!
60 + 15 = 75 :D
Answer:
250 berries
Step-by-step explanation:
There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:
10 x 25 = 250
There are 250 berries.
~
The volume is 378 ft³. Hope this helps! Good luck.
Answer:
his rate of miles per hour would be 7.5 mph
The tangent vector is by definition the derivative of r(t) with respect to t:
<span>T' = dr/dt = <6t, tsin(t), tcos(t)> </span>
<span>The unit vector T = T'/|T'| = <6t, tsin(t), tcos(t)>/sqrt(36t^2 + t^tsin(t)^2 +t^2cos(t^2)) </span>
<span>T = <6t, tsin(t), tcos(t)>/(t*sqrt(37)) = <6, sin(t), cos(t)>/sqrt(37) </span>
<span>Now the normal unit vector N is perpendicular to r/|r| and T. It is the second derivative of r/|r| with repsect to time </span>
<span>N' = d^2r/dt^2 = <6, sin(t) + tcos(t), cos(t) - tsin(t)> </span>
<span>N= N'/|N'| = <6, sin(t) + tcos(t), cos(t) - tsin(t)>/sqrt(36 + sin^2t +2tsin(t)cos(t)+t^2cos^2t + cos^2(t) -2tcos(t) sin(t) +t^2sin^2t) </span>
<span>N = <6, sin(t) + tcos(t), cos(t) - tsin(t)>/sqrt(37 +t^2)</span>
