All categories

3 years ago

Given the arithmetic sequence an = 4 + 8(n − 1), what is the domain for n?

Mathematics

1 answer:

tatiyna3 years ago

6 0

The domain should be all Natural numbers

You might be interested in

From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is

Nataliya [291]

<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

$volume \: of \: the \: cylinder \: = \pi {r}^{2} h$

$= > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3}$

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

$slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} }$

$= > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm$

Volume of the cone = 1/3 *πr^2h

$= > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3}$

therefore, the volume of the remaining solid

$= 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3}$

Curved surface of the cylinder =

$2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .$

$curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2}$

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

6 0

2 years ago

- 7 ( z - 6 ) = - 70

NemiM [27]

Answer:

z=16

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7(z−6)=−70

(−7)(z)+(−7)(−6)=−70(Distribute)

−7z+42=−70

Step 2: Subtract 42 from both sides.

−7z+42−42=−70−42

−7z=−112

Step 3: Divide both sides by -7.

−7z /−7 = −112 /−7

z=16

7 0

3 years ago

Read 2 more answers

What is the expression for 40 more than twice the quotient of two amounts

svp [43]

Answer:

2(x/y)+40

Step-by-step explanation:

2(x/y)+40

5 0

3 years ago

Will give brainliest! which scatterplot could have a trend line whose equation is y = -x + 8?

insens350 [35]

Answer:

Step-by-step explanation:

because you started at 8 and the dots are going down

5 0

2 years ago

The circumference of a bike tire is 84 inches what is the diameter

I am Lyosha [343]

Answer:

26.75 or 26.75156923

Step-by-step explanation:

Circumference formula:

C =Лd

Diameter formula:

d=c/Л

Substitute C for 84 and Л for 3.14:

d=84/3.14

Solve for Diameter:

d=26.75

8 0

2 years ago