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Luba_88 [7]
3 years ago
12

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

so

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&gt;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

80

Therefore, you have 80 yards left.

Hope this helps!

7 0
3 years ago
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