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AfilCa [17]
3 years ago
7

What is the 10th term in the geometric sequence: 32, 16, 8, 4...?

Mathematics
2 answers:
xeze [42]3 years ago
6 0
The tenth term is 0.0625.  All you have to do between each term is divide by two, so 36 (divided by two), 16 (divided by two), 8, 4, 2, 1, .5, .25, .125, .0625
pav-90 [236]3 years ago
3 0
Hi there
just keep dividing by 2 tell you get to the 10th term
that's one way of doing it
32, 16, 8, 4, 2, 1 , 1/2 , 1/4 , 1/16, 1/32
1/32 is the 10th term
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The radius AND height of a cone are each doubled. What is the new volume? A) 4 3 πhr2 B) 8 3 πhr2 C) 4πhr2 D) 8πhr2
Jlenok [28]
Volume of cone:
V = \dfrac{1}{3}\pi r^2h

Double the radius to 2r, and double the height to 2h.
Volume of new larger cone:
V = \dfrac{1}{3}\pi(2r)^2 \times 2h

V = \dfrac{1}{3}\pi \times 4r^2 \times 2h

V = \dfrac{1}{3}\pi \times 8r^2 h

V = \dfrac{8}{3}\pi r^2 h

Answer: Choice B)
7 0
3 years ago
Read 2 more answers
(2/5)^-2(-3)^4<br><br> What is the equivalent?
Nikolay [14]

Answer:

-8100

Step-by-step explanation:

(2/5)^-2(-3)^4

Given data

and second term

The first term=  (2/5)^-2  and

Second term=(-3)^4

Simplify the first term

(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2

=1/4/ 1/25

=1/4*25/1

=100

Simplify the second term

=(-3)^4

= -81

Hence, 100*81

=-8100

8 0
3 years ago
Emily can ride her scooter 18 miles in 50 minutes.
Setler [38]
A= 36
sorry thats all i know :( i hope it helps somewhat tho.
6 0
3 years ago
Lauren and Aidan left their offices at 6:15 p.m. and drove to meet at a restaurant the same distance away from their offices for
Neko [114]

Answer:

D.

Step-by-step explanation:

It doesnt give us anymore facts or information about when they got there or anything.

4 0
3 years ago
The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with
NISA [10]

Answer:

a) 0.125

b) 7

c) 0.875 hr

d) 1 hr

e) 0.875

Step-by-step explanation:l

Given:

Arrival rate, λ = 7

Service rate, μ = 8

a) probability that no requests for assistance are in the system (system is idle).

Let's first find p.

a) ρ = λ/μ

\frac{7}{8} = 0.875

Probability that the system is idle =

1 - p

= 1 - 0.875

=0.125

probability that no requests for assistance are in the system is 0.125

b) average number of requests that will be waiting for service will be given as:

λ/(μ - λ)

= \frac{7}{8 - 7}

= 7

(c) Average time in minutes before service

= λ/[μ(μ - λ)]

= \frac{7}{8(8 - 7)}

= 0.875 hour

(d) average time at the reference desk in minutes.

Average time in the system js given as: 1/(μ - λ)

= \frac{1}{(8 - 7)}

= 1 hour

(e) Probability that a new arrival has to wait for service will be:

λ/μ =

{7}{8}

= 0.875

5 0
4 years ago
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