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3 years ago

15

2/3 - 1/4 in simplest form.

1 answer:

Anit [1.1K]3 years ago

7 0

2/3-1/4
=8/12-3/12
=5/12

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Can someone solve this for me with their explanation please?

Lana71 [14]

First you want to subtract 36

so it looks like this $\sqrt[4] {(4x+164)^3}=64$

Then you want to cancel out the square root 4 by raising that to the 4th power (you must do this to both sides)

${(4x+164)^3}=64^4$ which is equal to ${(4x+164)^3}=16777216$

Then you take the cube root to both sides [tex]\sqrt[3]{(4x+164)^3}=\sqrt[3]{16777216}[tex]

Then you end up with the equation 4x+164=256

Then subtract 164 to both sides

4x=92

then divide 92 by 4

Then you get x=23

7 0

4 years ago

3X squared plus 2X equals -4 number of solutions

PIT_PIT [208]

Answer:

The given equation has two solutions i.e $\frac{-1+\sqrt{13} }{3}$ , $\frac{-1-\sqrt{13} }{3}$

Step-by-step explanation:

The given expression as :

3 x² + 2 x - 4

For the quadratic equation in the form of a x² + b x + c , the value of x

x = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, x = $\frac{-2\pm \sqrt{2^{2}-4\times 3\times (-4)}}{2\times 3}$

Or, x = $\frac{-2\pm \sqrt{4 + 48}}{6}$

or, x = $\frac{-2\pm \sqrt{52}}{6}$

∴ x = $\frac{-1\pm \sqrt{13}}{3}$

Or, x = $\frac{-1+\sqrt{13} }{3}$ , $\frac{-1-\sqrt{13} }{3}$

Hence The given equation has two solutions i.e $\frac{-1+\sqrt{13} }{3}$ , $\frac{-1-\sqrt{13} }{3}$ Answer

7 0

3 years ago

Round 5,600,679 to the nearest thousand

vampirchik [111]

The answer is 5,601,000

4 0

3 years ago

) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

8 0

4 years ago

What is the decimal expansion of the following fraction?1/15

Mekhanik [1.2K]

1 divided by 15=0.06666667 as a decimal

5 0

4 years ago