Answer:
200+40+3+0.7+0.09
Step-by-step explanation:
Answer:
Step-by-step explanation:
Assume that the amount needed from the 5% acid is x and that the amount needed from the 6.5% acid is y.
We are given that:
The volume of the final solution is 200 ml
This means that:
x + y = 200
This can be rewritten as:
x = 200 - y .......> equation I
We are also given that:
The concentration of the final solution is 6%
This means that:
5%x + 6.5%y = 6% (x+y)
This can be rewritten as:
0.05 x + 0.065 y = 0.06 (x+y) ............> equation II
Substitute with equation I in equation II and solve for y as follows:
0.05 x + 0.065 y = 0.06 (x+y)
0.05 (200-y) + 0.065 y = 0.06 (200-y+y)
10 - 0.05 y + 0.065 y = 12
0.015y = 12-10 = 2
y = 2/0.015
y = 133.3334 ml
Substitute with the y in equation I to get the x as follows:
x = 200 - y
x = 200 - 133.3334
x = 66.6667 ml
Based on the above calculations:
The amount required from the 5% acid = x = 66.6667 ml
The amount required from the 6.5% acid = y = 133.3334 ml
Answer:
A bicycle store installs about 400 tires per day. Tires are installed Monday through Friday for 8 hours per day. The owner of the store estimates the number of properly installed tires per week using the process below.
In the first hour of work on Monday, 49 out of 50 tires were properly installed.
So, there were about 8(49) = 392 properly installed tires on Monday.
Considering 5 working days per week, 5(392) = 1,960 is the number of tires properly installed in one week.
Which best explains the validity of the results?
The results are likely invalid because it is unlikely that the tires installed in one hour on Monday will represent the entire population of tires.
The results are likely invalid because the entire population during one week was not part of the sample.
<u>The results are likely valid because a large number of tires produced during the week were part of the sample.
</u>
The results are likely valid because each tire sampled was part of the population of tires that week.
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given that a variable force of magnitude F(x) moves a body along the x- axis from 
to 
.
The net work done by the force in moving the body from to .
=Velocity of the body at
Velocity of the body at
We know that
Work done=Final kinetic energy-Initial kinetic energy
K.E=
Hence, the net work done by the force is given by
