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Mathematics

1 answer:

Gekata [30.6K]2 years ago

8 0

Answer:

Option C is correct.

Step-by-step explanation:

We have been given the two graphs of the following function:

$f(x)=x^2$

And g(x) we need to tell from the graph given.

We can see that the graph g(x) is downward parabola that means it has to have negative coefficient of x.

And shifting is 3 units down

So, from the graph of g(x)

g(x) will be: $g(x)=-x^2-3$

Therefore, option C is correct.

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Suppose a lab needs to make 400 liters of a 39% acid solution, but the only solutions available to the lab are 20% acid and 50%

Alekssandra [29.7K]

Mixture problem.
Ratio of 20% : 50% acids
=50-39 : 39-20
=11:19
total volume
=400L
vol. of 20% acid=400*(11/(11+19)=400*(11/30)=146.667 L
vol. of 50% acid=400*(19/(11+19)=253.333 L

Alternatively, use c=volume of 20%, d=vol of 50%
then
0.2c+0.5d=400*0.39
Since c+d=400, we have
0.2c+0.5(400-c)=400*0.39=156
solve for c:
0.3c=44
c=146.667 and d=400-c=253.333 as before.

3 0

2 years ago

At takeoff a plane flies at an angle of 10 degrees with the runway. After it has traveled a ground distance of 2,800 ft. Find th

Sonja [21]

<h2>Vertical distance gained from takeoff is 493.72 ft</h2>

Step-by-step explanation:

Refer the figure.

Horizontal distance = AB = 2800 ft

Angle = ∠B = 10°

We need to find AC that is h.

We have

$tanB=\frac{AC}{AB}\\\\tan10=\frac{h}{2800}\\\\h=2800\times tan10=493.72ft$