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Anton [14]
3 years ago
12

Emily wants to make a rectangular model with a height of one cube

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Answer:

Three cubes


Step-by-step explanation:


The cubes have to be indistinguishable and all orientations of one cube are also have to be indistinguishable.


All ways of connecting two cubes result in the same shape. So answer is larger than two.


After connecting two cubes, there are ten faces where the third cube can be attached, and two faces which are connected, accounting for all 12 faces of two cubes.


Of the 10 exposed faces, exactly two are on opposite ends, both leading to the same straight line figure. The other 8 faces all lead to an L shape, and all L shapes can be rotated to be identical.


Hence, three cubes can only make a straight shape or an angled shape.


Four cubes can make a straight shape, a L shape, a Γ shape (but flipping it over through 3 dimensions makes L and Γ identical), a T shape, and a square shape. That is either four or five different objects depending on if they can be lifted from the table. Anyway, it is more than two.

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Step-by-step explanation:

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3 years ago
Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on to
Likurg_2 [28]

Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.

Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude

g = 9.8m/s².

As Professor Sosa drops the bag, its initial velocity and time are 0.

The building has a height of 400ft, so adjusting units: y = 121.92 m and y_{0} = 0.

For this problem, going down will be the positive reference.

Then:

y=y_{0}+v_{0}t+\frac{g}{2}t^{2}

\Delta y=v_{0}t+\frac{g}{2}t^{2}

121.92=\frac{9.8}{2}t^{2}

t=\sqrt{\frac{121.92*2}{9.8} }

t ≈ 5

<u>It will take </u><u>5s</u><u> for the candy corn bag to land on the ground.</u>

Acceleration is the change in velocity per change in time, so:

g=\frac{\Delta v}{\Delta t}

As initial velocity and time are 0 and rearraging it:

v = g.t

v = 9.8*5

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<u>The bag will hit the ground with </u><u>velocity</u><u> of magnitude </u><u>49 m/s.</u>

7 0
2 years ago
If f(x) =2x-6 then f(1)=​
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Answer:

f(1) = -4

Step-by-step explanation:

Given that,

f(x) = 2x-6

We need to find the value of f(1).

Put x = 1 in the above expression.

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= 2-6

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So, the value of f(1) is equal to -4.

7 0
2 years ago
I need to multi-step function inverse, photo included
STALIN [3.7K]

Answer:

f^{-1} = (9x + 1)^{7}

Step-by-step explanation:

y\:=\:\frac{x^{\frac{1}{7}}-1}{9}

replace x with y:

x=\frac{y^{\frac{1}{7}}-1}{9}

solve for y:

9x=y^{\frac{1}{7}}-1}

9x + 1 = y^{\frac{1}{7} }

y = (9x + 1)^{7}

therefore:

f^{-1} = (9x + 1)^{7}

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