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3 years ago

Factorise fully 24x+16

Mathematics

2 answers:

ZanzabumX [31]3 years ago

6 0

Answer:

8(3x + 2)

Step-by-step explanation:

→To factorize this expression, you must take out the GCF (Greatest Common Factor). The GCF is the biggest number that you can take out of all the terms in the expression, meaning the number has to be able to be divide by 24x and 16.

8(3x + 2)

Marina86 [1]3 years ago

4 0

Answer:

8(3x+2)

Step-by-step explanation:

24x+16

8*3*x + 8*2

Factor out an 8

8(3x+2)

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G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =

Svetach [21]

Presumably you should be doing this using calculus methods, namely computing the surface integral along $\mathbf r(u,v)$ .

But since $\mathbf r(u,v)$ describes a sphere, we can simply recall that the surface area of a sphere of radius $a$ is $4\pi a^2$ .

In calculus terms, we would first find an expression for the surface element, which is given by

$\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

$\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k$
$\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j$
$\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k$
$\implies\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|=a^2\sin u$

So the area of the surface is

$\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u$
$=-2\pi a^2(\cos\pi-\cos 0)$
$=-2\pi a^2(-1-1)$
$=4\pi a^2$

as expected.

6 0

3 years ago

The layer of gold coating on a ring should be 0.03 millimeters thick when the ring is completed. A coating of 0.021 millimeters

Arisa [49]

The amount of gold coating in millimeters needed for the ring is the difference between the total coating and the coating that has already been applied. From the given above, that would be,
0.03 mm - 0.021 mm = 0.009 mm
Thus, the answer to this question is letter B.

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4 years ago

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Use this picture and help please

Svetlanka [38]

65 degrees because then it adds to 180 degrees

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3 years ago

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Se vende2 usb en 60 soles cada uno. En una se ganó el 20% y en la otra se perdió el 20% ¿Se ganó o se perdió en total y cuánto?

aniked [119]

Voy a responder en el mismo idioma en que está la pregunta.

1) Venta con ganancia

Precio de venta 60 soles.

Ganancia = 20% del costo => costo + 0,20 * costo = precio

=> costo (1 + 0,20) = precio = 60 soles

=> costo (1,20) = 60 soles => costo = 60 soles / 1,20 = 50 soles

2) Venta con pérdida del 20%

Pérdida = 20% del costo

=> costo - precio = 20% * costo => costo - 0,20*costo = precio

=> costo ( 1 - 0,20) = 60 soles => costo * 0,80 = 60 soles

=> costo = 60 soles / 0,80 = 75 soles

3) Costo total = 50 soles + 75 soles = 125 soles

4) Ganancia total = valor total de venta - costo total

Ganancia total = 2 * 60 soles + 125 soles = 120 soles - 125 soles = - 5 soles.

El signo negativo significa que al final se perdió 5 soles en la operación.

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4 years ago

A nutritionist planning a diet for a rugby player wants him to consume 3,650 Calories and 650 grams of food daily. Calories from

Tcecarenko [31]

Answer:

300

Step-by-step explanation:

because when multiply then divide all of them then find a percent 300 is your answer

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3 years ago

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