Ask question

Ask question

All categories

2 years ago

10

Given 5 colors to choose from, how many ways can we color the four unit squares of a 2 times 2 board, given that two colorings a

re considered the same if one is a rotation of the other?

1 answer:

ser-zykov [4K]2 years ago

6 0

I think the answer Is 4

You might be interested in

brenda savings account principal 850, 5.5% annual interest rate and is compounded quarterly for 1 year. what is the compound int

Sedbober [7]

A = $ 861.69

Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year,
putting time into years for simplicity,
1 quarters ÷ 4 quarters/year = 0.25 years,
then, solving our equation

A = 850(1 + (0.055 × 0.25)) = 861.6875
A = $ 861.69

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 850.00
at a rate of 5.5% per year
for 0.25 years (1 quarters) is $ 861.69.

3 0

2 years ago

Maker the subject of this formula.<br> V = ³√p+r?

Alla [95]

Answer:

here's the answer I have in the photo and solution too

4 0

1 year ago

Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area: where V = volume (mm3

Alex

Answer:

V = 20.2969 mm^3 @ t = 10

r = 1.692 mm @ t = 10

Step-by-step explanation:

The solution to the first order ordinary differential equation:

$\frac{dV}{dt} = -kA$

Using Euler's method

$\frac{dVi}{dt} = -k *4pi*r^2_{i} = -k *4pi*(\frac {3 V_{i} }{4pi})^(2/3)\\ V_{i+1} = V'_{i} *h + V_{i} \\$

Where initial droplet volume is:

$V(0) = \frac{4pi}{3} * r(0)^3 = \frac{4pi}{3} * 2.5^3 = 65.45 mm^3$

Hence, the iterative solution will be as next:

i = 1, ti = 0, Vi = 65.45

$V'_{i} = -k *4pi*(\frac{3*65.45}{4pi})^(2/3) = -6.283\\V_{i+1} = 65.45-6.283*0.25 = 63.88$

i = 2, ti = 0.5, Vi = 63.88

$V'_{i} = -k *4pi*(\frac{3*63.88}{4pi})^(2/3) = -6.182\\V_{i+1} = 63.88-6.182*0.25 = 62.33$

i = 3, ti = 1, Vi = 62.33

$V'_{i} = -k *4pi*(\frac{3*62.33}{4pi})^(2/3) = -6.082\\V_{i+1} = 62.33-6.082*0.25 = 60.813$

We compute the next iterations in MATLAB (see attachment)

Volume @ t = 10 is = 20.2969

The droplet radius at t=10 mins

$r(10) = (\frac{3*20.2969}{4pi})^(2/3) = 1.692 mm\\$

The average change of droplet radius with time is:

Δr/Δt = $\frac{r(10) - r(0)}{10-0} = \frac{1.692 - 2.5}{10} = -0.0808 mm/min$

The value of the evaporation rate is close the value of k = 0.08 mm/min

Hence, the results are accurate and consistent!

5 0

3 years ago

HELLLLLLLLLLLLLLLLPPPPPPP PLEASE! Is the number 4.78 a solution of x < 5? Is the number 6 a solution of x < 6? PLEASE EXPL

Karolina [17]

As you know, 4.78 is less than 5, so
.. yes, x=4.78 is a solution to x < 5

As you know, 6 = 6, but is not less than 6.
.. no, x=6 is not a solution to x < 6.

7 0

3 years ago

How much did Mario spend on golfing? a. $35.20 b. $45.20 c. $47.88 d. $143.96

Salsk061 [2.6K]

$47.88 your answer and I am the most important person in the world.

8 0

2 years ago

Read 2 more answers