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4 years ago

Why did the United States develop the island hopping strategy? Check all of the boxes that apply.

Mathematics

2 answers:

Yuliya22 [10]4 years ago

7 0

Answer: B&D on edge

Step-by-step explanation:

max2010maxim [7]4 years ago

3 0

Answer:

b, d.

Step-by-step explanation:

The strategy sped up the war.

The strategy saved the lives of US soldiers.

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Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8

Ivanshal [37]

It looks like the differential equation is

$\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}$

Factorize the right side by grouping.

$xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)$

$xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)$

Now we can separate variables as

$\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx$

Integrate both sides.

$\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx$

$\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx$

$\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}$

You could go on to solve for $y$ explicitly as a function of $x$ , but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0

2 years ago

Renee uses 12 marshmallows and 8 graham crackers to make 4 smores.how many Renee needs to make 3 s'mores.

dusya [7]

3 times as many marshmallows and 2 times as many crackers

Answer 9 marshmallows and 6 crackers

8 0

3 years ago

43,000 rounded to the nearest thousand

fgiga [73]

It's already rounded

4 0

4 years ago

Read 2 more answers

Estimate and then solve 1,029 ÷ 21 = ___. (4 points)

Schach [20]

You’re answer is c.49
i didn’t have to estimate because 21 times 49 gives you 1,029

Hope this is helpful!!!

6 0

3 years ago

An element with mass 590 grams decays by 19.5% per minute. How much of the

notsponge [240]

22.8 gms

Step-by-step explanation:

Step 1:

Given,

Mass of the element = 590 gms

Percentage decay per minute = 19.5%

Step 2 :

Fraction of the element remaining at the end of 1 minute = 1 - 0.195 = 0.805

Hence the fraction of element remaining after 15 minutes = $0.805^{15}$ = 0.03863

So the mass of the element remaining after 15 minutes = 0.03863 * 590 = 22.8 rounded off to the nearest 10th of a gram

mass of the element remaining after 15 minutes = 22.8 gms

6 0

4 years ago