Answer:
The technician can combine 10 liters of pure acid with 30 liters of 20% acid to get the desired concentration
Step-by-step explanation:
For pure acid, the concentration will be 100%
Let the liters of pure be a and the liters of 20% be b
Since we want 40 liters of total;
a + b = 40 ••••••••(i)
Also,
100% of a + 20% of b = 40% of 40
a + 0.2b = 16 •••••(ii)
From ii , a = 16-0.2b
Put this into i
16-0.2b + b = 40
0.8b = 40-16
0.8b = 24
b = 24/0.8
b = 30
Since a + b = 40
a = 40 - b
a = 40-30
a = 10
Answer:
you have the answer right tho:(
Step-by-step explanation:
Answer:
<h3>x = 49.6°</h3>
Step-by-step explanation:
Find the image attached;
From the image;
opposite side = 16
Hypotenuse = 21
Angle of inclination = x
Using the SOH identity
sinx = opposite/hypotenuse
sin x = 16/21
sin x = 0.7619
x = arcsin 0.7619
x = 49.6° (to the nearest tenth of a degree)
Answer:
.
Step-by-step explanation:
Let , , and be constants, and let . The equation represents a parabola in a plane with vertex at .
For example, for , , , and .
A parabola is entirely above the -axis only if this parabola opens upwards, with the vertex above the -axis.
The parabola opens upwards if and only if the leading coefficient is positive: .
For the vertex to be above the -axis, the -coordinate of that point, , must be strictly positive. Thus, .
Among the choices:
- does not meet the requirements. Since , this parabola would open downwards, not upwards as required.
- does not meet the requirements. Since and is negative, the vertex of this parabola would be below the -axis.
- meet both requirements: and .
- (for which ) would touch the -axis at its vertex.
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