Answer:
we have 8 quarts of 40% antifreeze,
according to the britain equivalent, 1 quart = 1.13L
so, we have 8 * 1.13L = 9.04 L
out of the 9.04 L, 40% is antifreeze
amount of antifreeze = 0.4 * 9.04 = 3.616 L
moles of antifreeze present = 3.616/22.4 = 0.16 moles
moles of antifreeze in 60% solution = 0.6 * v/22.4 = 0.027 * v
<em>(where v is the volume of final solution)</em>
molarity of initial solution = 0.16/9.04 = 0.018 M
molarity of final solution = 0.027*v/v = 0.027 M
m1*v1 = m2*v2
0.018 * 9.04 = 0.027 * v
v = 0.018 * 9.04/0.027
v = 6.026 L
amount if antifreeze in the final solution = 6.026 * 0.027 =
0.163 Moles of antifreeze
amount in L = 0.163 * 22.4 = 3.65 L
amount in quarts = 3.65/1.13 = 3.23 quarts
Well, if a line is parallel to another, they share the same slope. Why that is, I can further explain in the comments if you're interested. Anyway, because we know this line is parallel to 3x-5, it MUST have a slope of 3, since that is the slope of the other line. So you can go ahead and mark out those last 3 answers. You could also mark out the first one since it's the EXACT SAME line as the one were given, so it wouldn't be parallel, it would just be equal to it. So we know the answer has to be B. What if A wasn't the same as the line given though? in that case, we could look at the point you're given. it describes the y intercept of our unknown line, since the point occurs at x=0. If that doesn't make sense, let me know and I can elaborate on why that is. Anyway, if we're looking at the general form of a line, y = mx + b, b describes the y value at which the y-intercept occurs. the y intercept were given occurs at y= 7, so the b value of our line must be 7. This agrees with answer B.
Hope that helps, and let me know if you have any questions! :)
Answer: B
Step-by-step explanation:
13.9 mi/h; 21 south of west
The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.
<h3>What is the range?</h3>
The range is the difference between the maximum and minimum.
Given to us
The standard diameter of a golf ball is 42.67 mm.
The discrepancy in diameter is more than 0.002 mm.
As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.
Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm
Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm
Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.
Learn more about Range:
brainly.com/question/3507706
To find the 'maximum height' we will need to take the derivative of h(t) = –16t² + 32t + 6 then set it equal to zero, then solve for t. this t will be the time at which the ball reaches it's maximum height.
