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3 years ago

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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Someone please help

KIM [24]

Answer:

Step-by-step explanation:

Exponential function representing final amount with compound interest compounded continuously,

$A=Pe^{rt}$

Here, A = Final amount

P = principal amount

r = Rate of interest

t = Duration of investment

For P = $9600

r = 6%

A = 2 × 9600 = $19200

By substituting these values in the formula,

$19200=9600(e)^{0.06\times t}$

$2=e^{0.06t}$

$ln(2)=ln(e^{0.06t})$

ln(2) = 0.06t

t = $\frac{0.693147}{0.06}$

t = 11.55245

t ≈ 11.5525 years

Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.

Therefore, $960000 will get doubled in 11.5525 years.

6 0

3 years ago

At 2:00 pm there are 350 freshmen and 200 sophomores at a school carnival. After 2:00 pm 20 freshman leave every hour and 35 sop

dmitriy555 [2]

Answer:

160:340

Step-by-step explanation:

The hours between 2:00pm and 4:00pm is 2 hours. If originally 350 freshman and 200 sophomores are at the carnival, and 20 freshman leave every hour, we can determine how many freshman left in 2 hours:

$=20\cdot{2}=40$

and if 35 sophomores arrive every half our, we know that for every two hours there is 4 half hours, therefore:

$=35\cdot{4}=140$

The amount of freshman at 4:00pm:

$200-40=160$

and the amount of sophomores:

$200+140=340$

the ratio is 160:340

5 0

3 years ago

Read 2 more answers

If you explain and answer i will give brainly

CaHeK987 [17]

6x - 5y = 3 x1

3x - 8y = -15 x2

===============

6x - 5y = 3

6x - 16y = -30

============= -

11y = 33

y = 3

6x - 5(3) = 3

6x -15 = 3

6x = 18

x = 3

(3,3)

7 0

2 years ago

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Alexus [3.1K]

Answer:

10 - p is his change

Step-by-step explanation:

hope this helps

3 0

2 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. Pl

kicyunya [14]

Hello,

$u_{0} =a\\
 u_{1} =a*r\\
 u_{2} =a*r^{2}=-6\\
 u_{3} =a*r^{3}\\
 u_{4} =a*r^{4}\\
 u_{5} =a*r^{5}=162\\
....\\
\boxed{ u_{n} =a*r^{n}} \\

\dfrac{ 162}{-6} = \dfrac{ u_{5} }{ u_{3}} = \dfrac{ a*r^{5}}{ a*r^{2}} =r^3= -27\\
==\ \textgreater \ r=-3\\

 u_{2} =a*r^{2}=-6=a*(-3)^2 \ ==\ \textgreater \ a=-\frac{6}{9} =-\frac{2}{3}\\


\boxed{ u_{n} =-\frac{2}{3}*(-3)^{n}=(-1)^{n+1}*2*3^{n-1}} \\

$

8 0

3 years ago

Read 2 more answers