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3 years ago

Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.

Mathematics

2 answers:

weeeeeb [17]3 years ago

4 0

Answer:

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

with r = $\frac{-100}{20}$ = $\frac{20}{-4}$ = - 5

the n th term formula ( explicit formula ) is

$a_{n}$ = $a_{1}$ $r^{n-1}$

here r = - 5 and $a_{1}$ = - 4, hence

$a_{n}$ = - 4 $(-5)^{n-1}$ with n ≥ 1

pishuonlain [190]3 years ago

4 0

Answer:

answer would be b.

Step-by-step explanation:

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Find the lateral area and surface area of a cone with a radius of 12 and a height of 21

marishachu [46]

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

For Lateral Surface Area

<h3>Formula: </h3>

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

For Total Surface Area

<h3>Formula:</h3>

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.

-TheUnknownScientist

6 0

3 years ago

Read 2 more answers

You and your friend each start a car-washing service. you spend $25 on supplies and charge $10 per car. your friend spends $55 o

lakkis [162]

Let x be the number of cars. We will find out how many cars you have to wash to make as much money as your friend:
10x - 25= 13x - 55 Add 25 on both sides and subtract 13x, also both sides:
3x = -30 Now divide both sides by -3:
x= 10 cars you have to wash.

7 0

3 years ago

HELP PLEASE !! IS IT A, B OR C

Schach [20]

C is the answer yeah yeah

8 0

3 years ago

Find the distance between the

Dovator [93]

Answer:

$\displaystyle d = \sqrt{29}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{5^2 + 2^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{25 + 4}$
[√Radical] Add: $\displaystyle d = \sqrt{29}$

7 0

2 years ago

1) Slope =-1, y-intercept = 0

Dima020 [189]

Answer:

1. C 2.D 3.D 4.A

Step-by-step explanation:

The first one would be C because the slope is -1, which can also be -x and the y-intercept is 0, meaning you don't need to add or subtract anything.

The second one is D because the slope is -3, meaning it's -3x, and the y-intercept is positive, meaning you add 5.

The third one is D because the slope is 5/4, which is 5/4x and the y-intercept is positive 3, meaning you add 3.

And the fourth one is A because there is no slope, so y would just equal 3.

6 0

3 years ago