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3 years ago

Please helpppp im so lost

Mathematics

1 answer:

saveliy_v [14]3 years ago

6 0

So solution is here:
first question's right answer is second sentence
second question's answer is square

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Dy/dx= y^4 and y(2)= -1. Y(-1)=

cupoosta [38]

It looks like you're asked to find the value of y(-1) given its implicit derivative,

$\dfrac{dy}{dx} = y^4$

and with initial condition y(2) = -1.

The differential equation is separable:

$\dfrac{dy}{y^4} = dx$

Integrate both sides:

$\displaystyle \int \frac{dy}{y^4} = \int dx$

$-\dfrac1{3y^3} = x + C$

Solve for y :

$\dfrac1{3y^3} = -x + C$

$3y^3 = \dfrac1{-x+C} = -\dfrac1{x + C}$

$y^3 = -\dfrac1{3x+C}$

$y = -\dfrac1{\sqrt[3]{3x+C}}$

Use the initial condition to solve for C :

$y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5$

Then the particular solution to the differential equation is

$y(x) = -\dfrac1{\sqrt[3]{3x-5}}$

and so

$y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}$

6 0

2 years ago

Math 1/3 divided by 3/8=

Phantasy [73]

<span>0.01388888888 is your answer

</span>

4 0

2 years ago

Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balanc

Andrei [34K]

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]= $\frac{P×T×R}{100}$ =$ $\frac{850×8×8}{100}$ =$544

Total balance=S.I.+P=$544+$850=$1394.

<u>option b.$1,394.00 is your answer</u>

6 0

2 years ago

Here is an inequality: -2x>10

jek_recluse [69]

Answer:

The right solution is " $x>-5$ ".

Step-by-step explanation:

The given inequality is:

⇒ $-2x>10$

By solving the above expression, we get

⇒ $x >-\frac{10}{2}$

⇒ $x>-5$

Thus the above is the correct answer.

7 0

2 years ago

If I plan to run 400 yards and I have completed 80%, how many yards do I have left?

Dimas [21]

Answer:

You have 80 yards left to run.

Step-by-step explanation:

To solve this problem, we first must realize that if you have completed 80% of the run, that you have 20% left (this is because 100%-80% = 20%).

Next, we must find 20% of 400 yards. We must remember that in math, the word "of" represents multiplication. We also know that 20% = 20/100 = 0.2.

To find 20% of 400 yards, we can perform the following operation:

20% * 400

0.2 * 400

Therefore, you have 80 yards left.

Hope this helps!

7 0

3 years ago