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3 years ago

Write 3 equivalent ratios for 4/3?

Mathematics

1 answer:

vampirchik [111]3 years ago

5 0

8/6, 12/9, 16/12 are all equivalent to 4/3

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If the side of a square is doubled in length, what is the percentage increase in area

ycow [4]

Doubling the side length multiplies the area by 4

8 0

3 years ago

5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

3 years ago

44.69 rounded to the nearest tenth

Romashka-Z-Leto [24]

The answer would be 44.7 not 44.5

3 0

3 years ago

What is the area of triangle ABC ?

vladimir1956 [14]

Answer:

4.84 square inches

Step-by-step explanation:

To first find the missing angle, 180 - (50+47) = 83

Then I used the formula Area = (a x b x sinc) / 2

Plug in side one for a, side two for b, and the angle between for c

5 0

3 years ago

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Thre

grigory [225]

Answer:

About $1,178,974

Step-by-step explanation:

Alright, the sequence we have right now is:

500,000 550,000 605,000

We want to find the common ratio, so let's divide 550,000 by 500,000 and see if we get the same value as 605,000 divided by 550,000:

550,000/500,000 = 1.1

605,000/550,000 = 1.1

Now, we know that r = 1.1. We also know the first term is: $a_1$ = 500,000.

We use the explicit rule of a geometric sequence:

$a_n=a_1*r^{n-1}$

Here, we want to find $a_{10}$ , which means that n = 10. We know r and $a_1$ , so we just plug in these values:

$a_{10}=500,000*(1.1)^{10-1}=500,000*(1.1)^{9}$ ≈ $1,178,973.85$ ≈ $1,178,974$

Thus, the answer is about $1,178,974.

Hope this helps!

6 0

3 years ago

Read 2 more answers