4 years ago

What is the common ratio of the geometric sequence whose first term

1 answer:

3 0

$a_1=27;\ a_4=64\\\\a_4:a_1=d^3\\\\subtitue\\\\d^3=64:27\\\\d^3=\dfrac{64}{27}\\\\d=\sqrt[3]{\dfrac{64}{27}}\\\\d=\dfrac{\sqrt[3]{64}}{\sqrt[3]{27}}\\\\d=\dfrac{4}{3}\\\\Answer:\boxed{(3)\ \frac{4}{3}}$

You might be interested in

In triangle ABC, If cos (A) = 12/13 and sin (A) = 5/13, what is tan(A)?

aleksandr82 [10.1K]

Answer:

tan(A) = 5/12

Step-by-step explanation:

Tan = opp/adj

opp= 5

adj = 12

6 0

3 years ago

A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a centra

AfilCa [17]

Answer:

98.88 ft^2 to nearest hundredth

Step-by-step explanation:

Area of slice = (37/360) * pi * 17.5^2 ( 17.5 = radius ( half diameter of 35))

= 98.88 ft^2

6 0

4 years ago

Read 2 more answers

An astronaut drops a rock into a crater on the moon. The distance, d(t), in meters, the rock travels after t seconds can be mode

jek_recluse [69]

Given:
d(t) = 0.8t²

d(5) = 0.8*5² = 0.8 * 25 = 20
d(10) = 0.8*10² = 0.8 * 100 = 80

Average speed = distance traveled / time of travel
Average speed = 20 meters / 5 seconds = 4 meters per second

Average speed = 80 meters / 10 seconds = 8 meters per second

4 mps + 8 mps = 12 mps
12 mps / 2 = 6 mps the average speed in meters per second between 5 and 10 seconds.

5 0

3 years ago

Each of 15 students will give a 1 1/2 minute speech in English class. Suppose the teacher begins recording on a digital camera w

Advocard [28]

8 1/2 1 1/2•15 =45/2 =22 1/2+15=37 1/2+15=52 1/2 60-52 1/2= 8 1/2 minutes

5 0

4 years ago

The bearing of town from town

Oduvanchick [21]

Answer:

Is this science or math? What are the choices

Step-by-step explanation:

7 0

3 years ago