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viva [34]
3 years ago
5

Write an explicit formula for the sequence and find the 18th term. 12, 3, 3/4....

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
5 0

Answer:

3/4294967296

Step-by-step explanation:

The common ratio is

3/12 = 1/4

The explicit formula

an = a1 r^(n-1)

an = 12 (1/4)^ (n-1)

The 18th term is

a18 = 12 * (1/4)^17

     = 3/4294967296

ddd [48]3 years ago
3 0

Answer:

Nth term = 3 × (¼)^(n-2)

18th term: 3/4¹⁶

Step-by-step explanation:

12 ,3 , ¾..

Are terms of a Geometric progression with:

First term = 12

Common ratio = 3/12 = ¼

Nth term = 12 × (¼)^(n-1)

= (3×4) × (¼)^(n - 2)

= 3 × (¼)^(n-2)

18th term: n = 18

12 × (¼)^(18-1)

12 × (¼)¹⁷

3/4¹⁶ or 6.985 × 10^(-10)

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A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle
Lorico [155]

Answer:

Correct choice is A

Step-by-step explanation:

Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

  • \sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.
  • \tan 42^{\circ}=\dfrac{AB}{BC}\Rightarrow BC=\dfrac{AB}{\tan 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 16.7\ ft.

8 0
3 years ago
Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is
olga nikolaevna [1]

The distance between B and B' will be the same as distance between A and A'.

= sqrt ( (5-1)^2 + ( 1 - -2)^2)

= sqrt (16 + 9)

= 5 units answer

6 0
3 years ago
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It takes a healthy bakery 10 hours to make 350 bagels what was the rate per hour
vladimir1956 [14]
The rate is 35 bagels per hour
8 0
3 years ago
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What is the rate of return when 25 shares of Stock
7nadin3 [17]

Based on the information given the rate of return is 10.8%.

First step is to find the shares of stock price:

Shares of stock price=25 shares×$30/share

Shares of stock price= $750

Second step is to calculate the total sold price:

Total sold price= $825+$6

Total sold price= $831

Third step is to calculate the Rate of return:

Rate of return=$831-750/$750×100

Rate of return=$81/$750×100

Rate of return=10.8%

Inconclusion the rate of return is 10.8%.

Learn more about rate of return here:brainly.com/question/21691170

4 0
2 years ago
horace is a professional hair stylist. let ccc represent the number of child haircuts and aaa represent the number of adult hair
Novay_Z [31]

He can give at most 2 adult haircuts with the remaining time

<h3>How many adult haircuts at most can he give with the remaining time? </h3>

The inequality is given as:

0.75C + 1.25A <= 7

Also, we have

C = 5

Substitute C = 5 in 0.75C + 1.25A <= 7

0.75 * 5 + 1.25A <= 7

Evaluate the product

3.75 + 1.25A <= 7

Evaluate the like terms

1.25A <= 3.25

Divide by 1.25

A <= 2.6

Rewrite as

A < 3

Hence, he can give at most 2 adult haircuts with the remaining time

Read more about inequalities at:

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<u>Complete question</u>

Horace is a professional hair stylist. Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give within 7 hours. 0.75C + 1.25A <= 7

Horace gave 5 child haircuts.

How many adult haircuts at most can he give with the remaining time?

8 0
2 years ago
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