Answer:
8.9 lb
Step-by-step explanation:
I divided 47.17 by 5.3
47.17÷5.3= 8.9
then to check my answer I multiplied 8.9 by 5.3 and got 47.17
hope this helps <3
Answer:
111.3 cubic inches
Step-by-step explanation:
The dimensions of the rectangular prism are 5.9 x 3.4 x 5.1
volume = length x width x height
V = 5.9 x 3.4 x 5.3
V = 102.306
The dimesnsions of the triangular prism are 3.4 x 5.9 x ?
to find the missing length, 6 - 5.1 = 0.9
3.4 x 5.9 x 0.9
Volume = (3.4 x 5.9 x 0.9)/2
V = 18.054/2
V = 9.027
Add the volumes together
102.306 + 9.027 = 111.333
Round
111.3
♥ thus y’/(yf-y) = k, where yf=6000;
<span>♠ hence ln(yf-y) =-kx +C; </span>
<span>at x=0 y(0)=y0=1000, hence C= ln(yf-y0); </span>
<span>and we get: </span>
<span>ln((yf-y)/(yf-y0) =-kx; or; </span>
<span>yf-y =(yf-y0)*exp(-kx); at last </span>
<span>♦ y = 6000- 5100*exp(-0.0015*x);
</span>
<span><span><span>dy</span><span>dt</span></span>∝y=ky</span>separate the variables<span><span><span>dy</span>y</span>=kdt</span>integrate both sides:<span>lny=kt+C</span><span>y(t)=C<span>e<span>kt</span></span></span>by plugging in t=0 we find that C the original population<span>y(0)=C<span>e0</span>=C⟹C=<span>y0</span></span>so we get<span><span>y=<span>y0</span><span>e<span>kt</span></span></span></span>
Answer:
A. 0.72
Step-by-step explanation:
When the ball hits the ground, h = 0.
0 = -16t² + 6t + 4
0 = 8t² − 3t − 2
Solve with quadratic formula:
t = [ 3 ± √(9 − 4(8)(-2)) ] / 16
t = (3 ± √73) / 16
t = 0.72
