All categories

3 years ago

The nth term of a sequence is 2n^2 + 4n - 1 Work out the 10th term of the sequence

Mathematics

1 answer:

Svetlanka [38]3 years ago

4 0

Answer:

a₁₀ = 239

Step-by-step explanation:

Substitute n = 10 into the nth term rule , that is

a₁₀ = 2(10)² + 4(10) - 1

= 2(100) + 40 - 1

= 200 + 39

= 239

You might be interested in

If the measure of angle ACB is 50 degrees, what is the measure of angle AOB

kodGreya [7K]

The answer is 100 degree

8 0

3 years ago

A square pyramid. The square base has side lengths of 6 inches. The 4 triangular sides have a base of 6 inches and height of 9 i

Marrrta [24]

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

$A_{base} = s^{2}$

$A_{base} = (6 in)^{2}$

$A_{base} = 36 in^{2}$

To calculate the area of a lateral face, find the area of a triangle.

$A_{lateral} = \frac{bh}{2}$

$A_{lateral} = \frac{(6 in)(9 in)}{2}$

$A_{lateral} = \frac{54 in^{2}}{2}$

$A_{lateral} = 27 in^{2}$

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

3 0

3 years ago

Find the surface area if the regular pyramid

lidiya [134]

9.1 yards because it’s just the answer because i know it’s the answer

4 0

2 years ago

At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars

DiKsa [7]

Correct Question:

At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?

1. p = 5d

2. d = p + 5

3. d = 5p

Answer:

3. d = 5p

Step-by-step explanation:

As one plate of cookies price is 5 $

The d is expressed as numbers of dollars which are earned.

Earnings = d = 5 x number of plates sold (p)

therefore

d = 5p

5 0

3 years ago

If 18: x = x: 8, find x.

sweet [91]

Answer:

x=12

Step-by-step explanation:

first we simp. 18:x=x:8 to x^2=18*8. In which case it is x^2=144 x=12

8 0

3 years ago

Read 2 more answers