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2 years ago

When g(x) = 3x, what is g(5)?

Mathematics

2 answers:

rewona [7]2 years ago

6 0

Answer:

g(5)= 15

Step-by-step explanation:

g(x) = 3x and in this situation x =5 ( g(5) )

so substitute x for 5 in the original equation:

g(x) = 3x --> g(5) = 3(5)

which gives you 15. Hope this helps!

tamaranim1 [39]2 years ago

3 0

Answer:

g(5) = 15

Explanation:

If the x in g(x) is 5 then the x beside 3 would also be 5.

g(5) = 3(5)

g(5) = 15

Hope this helps, good luck!

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Convert the equation r = 12 sin theta to Cartesian coordinates. Describe the resulting curve.

VLD [36.1K]

Answer:

Step-by-step explanation:

Given that there is a polar equation as

$r=12 sin \theta$

This has to be converted into cartesian.

We know the conversion is

$r^2 =x^2+y^2 \\tan \theta = \frac{y}{x}$

Using this we can say that

$sin^2 \theta = 1-cos^2 \theta \\= 1-\frac{1}{sec^2 \theta} \\=1-\frac{1}{1+tan^2 \theta} \\=1-\frac{1}{1+\frac{y^2}{x^2} } \\=1-\frac{x^2}{x^2+y^2} \\=\frac{y^2}{y^2+y^2}$

$\sqrt{x^2+y^2} =12(\frac{y}{\sqrt{x^2+y^2} } \\x^2+y^2 =12y\\x^2+y^2-12y+36 = 36\\x^2+(y-6)^2 = 6^2$ }

Circle with centre (0,6) and radius 6.

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3 years ago

Un ascensor sube desde el primer piso al quinto piso, baja al segundo, sube al octavo. Si cada piso tiene 3 metros de altura, ¿c

german

Answer:

El ascensor recorrió unos 39 metros

Step-by-step explanation:

Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:

metros desde el primer piso al quinto piso=3 metros*4=12 metros

metros desde el quinto piso al segundo piso=3 metros*3=9 metros

metros desde el segundo piso al octavo piso=3 metros*6=18 metros

Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros

metros que recorrió el ascensor=39 metros

El ascensor recorrió unos 39 metros

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3 years ago

Given that p is an integer , q= -12 and the qupteint of p/q is -3 find p

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$q=-12,\ \dfrac{p}{q}=-3\\\\\text{therefore}\\\\\dfrac{p}{-12}=-3\qquad\text{multiply both sides by (-12)}\\\\\boxed{p=36}$

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3 years ago

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AVprozaik [17]

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3 years ago

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ASHA 777 [7]

The area of the given figure is 576 cm sq.

The perimeter of the given figure is 96 cm.

Step-by-step explanation:

The shape consists of one semicircle and one square which is cut by a semicircle.

Find the area of semicircle= (πr^2)/2

where r is the radius= diameter/2= 24/2= 12 cm

Area of semicircle= π(12)(12)/2= 144π/2= 72π cm sq.

Find the area of square= a^2

where a is the side of square, a=24 cm.

Area of the square= 24*24= 576 cm sq.

To find the total area of the given figure,

Area of the figure= Area of semicircle+(area of square- area of semicircle)

= 72π+576-72π =576 cm sq.

<u>To find perimeter:</u>

Perimeter of semicircle= (2πr)/2

= (2*12*π)/2= 12π cm

Perimeter of square= 4a =4*24 =96 cm

Perimeter of the given figure= perimeter of semicircle+(perimeter of square- perimeter of semicircle)

= 12π+96+12π =96 cm.

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3 years ago