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3 years ago

What is 2 plus 3 Divided by 4

Mathematics

2 answers:

V125BC [204]3 years ago

8 0

Answer:

2.75

Step-by-step explanation:

Taya2010 [7]3 years ago

7 0

Answer:

1.25

Step-by-step explanation:

2 + 3 = 5/4 = 1.25

(keystroke)

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Work out, giving your answer in its simplest form:<br> 4/7 divided by 2 1 / 3

Vitek1552 [10]

Step-by-step explanation:

4/7÷21/3

=4/7*3/21

=12/147

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3 years ago

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Let h(x) = e^(kx) + f(x),

Anestetic [448]

$\bf h(x)=e^{kx}+f(x)\implies \cfrac{dh}{dx}=ke^{kx}+f'(x)
\\\\\\
\begin{cases}
x=0\\
f'(0)=-8
\end{cases} 
h'(0)=ke^{k(0)}+(-8)\implies h'(0)=k-8$

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3 years ago

Jessie runs 8 yards every 2 seconds. How many feet does Jessie run in 10 seconds?

serg [7]

Answer:

40 yard

Step-by-step explanation:

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2 years ago

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A back contains 120 marbles some are red and the rest are black They are 19 red marbles for every black marble How many red marb

egoroff_w [7]

Answer:

6.3 ?

Step-by-step explanation:

4 0

3 years ago

Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti

Vikki [24]

Answer:

General Solution is $y=x^{3}+cx^{2}$ and the particular solution is $y=x^{3}-\frac{1}{2}x^{2}$

Step-by-step explanation:

$x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}$

This is a linear diffrential equation of type

$\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)$ ..................(i)

here $p(x)=\frac{-2}{x}$

$q(x)=x^{2}$

The solution of equation i is given by

$y\times e^{\int p(x)dx}=\int e^{\int p(x)dx}\times q(x)dx$

we have $e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}$

Thus the solution becomes

$\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+c$ $y=x^{3}+cx^{2$

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have $6=8+4c$

Thus solving for c we get c = -1/2

Thus particular solution becomes

$y=x^{3}-\frac{1}{2}x^{2}$

5 0

4 years ago