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3 years ago

Write only vertical translation

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

5 0

Answer:

I hope this helps

Ex: vertical translation |x+5|-2 the graph will shift down 2 units. Or the same as (x+5)+2 in this case the graph will shift up 2 units.

Horizontal translation |x+5|-2 the graph will shift to the left 5 units. Or same as (x-5)-2 in this case the graph will shift over to the right 5 units.

Step-by-step explanation:

Vertical translation is when a graph is being shifted up or down.

Horizontal translation is when a graph is being shifted over left or right.

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A 30-N stone is dropped from a height of 10 m and strikes the ground with a speed of 13 m/s.

Anon25 [30]

Answer:

4.1 N

Step-by-step explanation:

We can solve this problem by using considerations about energy.

At the moment the stone is dropped, it has only gravitational potential energy:

$PE=mgh$

where

$mg=30 N$ is the weight of the stone

h = 10 m is the initial height of the stone

As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:

$KE+E_t = \frac{1}{2}mv^2 + E_t$

where:

$m=\frac{mg}{g}=\frac{30}{9.8}=3.06 kg$ is the mass

v = 13 m/s is the final speed of the stone

$E_t$ is the thermal energy

The thermal energy is actually equal to the work done by the air friction on the stone:

$E_t=W=Fh$

where

F is the average force of friction

h = 10 m

Since the total energy must be conserved, we can combine the three equations, so we find:

$mgh=\frac{1}{2}mv^2+Fh$

And solving for F, we find the average force of air friction:

$F=\frac{mgh-0.5mv^2}{h}=\frac{(30)(10)-0.5(3.06)(13)^2}{10}=4.1 N$

3 0

3 years ago

The market equilibrium point for a product is reached when 12000 units are produced and sold at $27 per unit. The manufacturer w

mamaluj [8]

If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,
supply: 324000 = 6p ; p = 324000/6 = 54000
demand: 324000 = 69p ; p = 324000/69 = 4695.65 ≈ 4696

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3 years ago

The equation below represents Function A and the graph represents Function B:

Snezhnost [94]

Answer:

Slope of Function B = – Slope of Function A

Step-by-step explanation:

Slope of function A= $-2$