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3 years ago

Solve for x. 1/4(5/12x-3/4)>x+1/12

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

that is literally hardcore math

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Identify the aspects of this exponential function: y = 350(1 + 0.75)t

meriva

The answer is 67 point 18.

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3 years ago

The scale drawing of a building has a width of 4 inches and a height of 8 inches. If the width of the actual building is 32 feet

kirill115 [55]

Hello!

First you have to find the scale

32 / 4 = 8

To get the actual building you multiply the scale building by 8 and change the units to feet

8 * 8 = 64ft

The answer is 64ft

Hope this helps!

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3 years ago

The table shows how the average cost of gasoline at one gas station changed over the past four months. Which graph might a magaz

Dafna11 [192]

Answer:

B/2

Step-by-step explanation:

The table mentions that the time actually starts from the end of the first month, so it cannot be graph one, which starts from 0.

Also, we can see that the values are decreasing over time, meaning it cannot be graph 3, which shows an increase.

thus, we settle the Answer as Graph 2, which satisfies all the needs.

Hope this helps.

5 0

3 years ago

Consider the implicit differential equation <img src="https://tex.z-dn.net/?f=%2849%20y%5E%7B3%7D%20%2B%2045%20xy%29%20dx%20%2B%

BaLLatris [955]

We're looking for an integrating factor $\mu(x,y)=x^py^q$ such that

$\mu\underbrace{(49y^3+45xy)}_M\,\mathrm dx+\mu\underbrace{(98xy^2+50x^2)}_N\,\mathrm dy=0$

is exact, which would require that

$(\mu M)_y=(\mu N)_x$
$(49x^py^{q+3}+45x^{p+1}y^{q+1})_y=(98x^{p+1}y^{q+2}+50x^{p+2}y^q)_x$
$49(q+3)x^py^{q+2}+45(q+1)x^{p+1}y^q=98(p+1)x^py^{q+2}+50(p+2)x^{p+1}y^q$
$\implies\begin{cases}49(q+3)=98(p+1)\\45(q+1)=50(p+2)\end{cases}\implies p=\dfrac52,q=4$

You can verify that $(\mu M)_y=(\mu N)_x$ if you'd like. With the ODE now exact, we have a solution $F(x,y)=C$ such that

$F_x=\mu M$
$F=\displaystyle\int(49y^3+45xy)x^{5/2}y^4\,\mathrm dx$
$F=10x^{9/2}y^5+14x^{7/2}y^7+f(y)$

$F_y=\mu N$
$50x^{9/2}y^4+98x^{7/2}y^6+f'(y)=98x^{7/2}y^2+50x^{9/2}y^4$
$f'(y)=0$
$\implies f(y)=C$

and so the general solution is

$F(x,y)=10x^{9/2}y^5+14x^{7/2}y^7=C$

8 0

3 years ago

Find the area of a square with sides equaling 7ft.

kondor19780726 [428]

28 because there’s 4 sides to a square and 4 times 7 is 28

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3 years ago