Which of the following equation describes all points on a horizontal line that passes through the point (-3, 7)

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common

miss Akunina [59]

Answer:

It is an Arithmetic sequence

Common difference = 3/4

Step-by-step explanation:

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common difference 1/2,5/4, 2, 11/4..

We are given the sequence:

1/2, 5/4, 2, 11/4.

We are to determine if this is an Arithmetic or Geometric sequence

Hence:

To determine if this is an Arithmetic sequence, we find the Common difference

Common difference = Second term - First term

= 5/4 - 1/2

Lowest Common Denominator = 4

= 5 - 2/4 = 3/4

or Third term - Second term

2 - 5/4

Lowest Common Denominator = 4

2/1 - 5/4

8 - 5/4

= 3/4

We have the same common difference.

To determine if this is an Geometric sequence, we find the Common ratio

Common ratio = Second term / First term

= 5/4 ÷ 1/2

5/4 × 2/1

= 5/2 = 2 1/2

or Third term /Second term

2 ÷ 5/4

2 × 4/5

= 6/5

= 1 1/5

It is not a geometric sequence

Therefore , the above sequence in the Question is an Arithmetic sequence.

7 0

3 years ago

Find the volume of a right circular cone that has a height of 12 m and a base with a diameter of 8.9 m. Round your answer to the

steposvetlana [31]

Volume of Cone

Volume of the right circular cone is 248.7 m³

Step-by-step explanation:

A right circular cone is a three dimensional geometrical object. Right circular cone is a circular cone whose axis is perpendicular to its base. The slant height is the length of an element. All elements of a right circular cone are all equal.

The volume of the right circular cone is defined as $1/3 \pi r^{2}h$

where r is radius of the cone and h is the height of the cone

V = $1/3 \pi r^{2}h$

Given diameter d = 8.9 m

So the radius r = 8.9 ÷ 2 = 4.45 m

V = (1/3) × 3.14 × (4.45)² × 12

= (1/3) × 3.14 × 19.80 × 12

= 248.69 m³

Hence the Volume of the right circular cone is 248.7 m³

4 0

3 years ago

Read 2 more answers

Can some one help me with geometry

Anuta_ua [19.1K]

Um, what about geometry? What problem?

7 0

3 years ago

I can't answer part A

insens350 [35]

35h x $11ph = 385, 385 x 52 = 20,020
20,020 = 15,600 = 4,420.
She earns ~$20,000 per year, but spends $4,420 per year.

4 0

3 years ago

(x-2) / (x-4) = (-2) / (x-1)

rodikova [14]

Answer:

X=5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

Simplify: (Show steps)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

2x

2

=

10

2

x=5

Answer:

x=5

8 0

4 years ago