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Hatshy [7]
3 years ago
13

Write an explicit formula formula for the sequence 2, 8, 14, 20, 26,...

Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer:

d.   a_n = 6n - 4.

Step-by-step explanation:

The common difference (d)  is 8-2 = 14-8 = 20-14 = 26-20 = 6.

This is an Arithmetic Sequence with the first term (a1) is 2.

The general form of the explicit formula is a_n = a1 + d(n - 1)  so this sequence has  the formula:

a_n = 2 + 6(n - 1)

a_n = 2 + 6n - 6

a_n = 6n - 4.

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Sea H = {(x, y, z, w) : x = y, w = 3y} y sea v = (−1, 2, 3, 1). Encuentre una base para su complemento ortogonal H⊥. Escriba v =
vazorg [7]

Answer:

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Step-by-step explanation:

7 0
3 years ago
A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of
slavikrds [6]

Answer:

The height of the cone h = 27(x^4)y

Step-by-step explanation:

Firstly, we calculate the volume of the cylinder.

Mathematically, the volume of the cylinder is pi * r^2 * h

using the radius x and height y

The volume V of the cylinder is ;

V = pi * x^2 * y

Now we know they have the same volume V, the formula for the volume of a cone is ;

1/3 * pi * r^2 * h

Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;

V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y

The pi gives way as it cancels out on both sides and we have the following;

h/27x^2 = x^2y

Mathematically h = x^2 * y * 27x^2

h = 27(x^4)y

p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x

8 0
3 years ago
ASAP HELP PLEASE! I WILL MARK THE FASTEST CORRECT ANSWER BRAINLIEST<br> see attached
V125BC [204]

Answer:1.1 ft^2

Step-by-step explanation:

Φ=55°

Radius=r=4

π=3.14

Area of segment=area of sector - area of triangle

Area of sector=Φ/360 x π x r x r

area of sector=55/360 x 3.14 x 4 x 4

Area of sector=(55x3.14x4x4) ➗ 360

Area of sector=2763.2 ➗ 360

Area of sector=7.7 ft^2

Area of triangle=0.5 x r x r x sinΦ

Area of triangle=0.5 x 4 x 4 x sin55

Area of triangle=0.5 x 4 x 4 x 0.8192

Area of triangle=6.6 ft^2

Area of segment=area of sector - area of triangle

Area of segment=7.7-6.6

Area of segment=1.1 ft^2

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4 years ago
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