All categories

2 years ago

What are the answers to the last 3 problems

Mathematics

1 answer:

motikmotik2 years ago

6 0

11) is 40
12) is 30
13) is 28

You might be interested in

40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

7 0

2 years ago

PLEASE ANSWER I REALLY NEED HELP ON THIS TEST

marshall27 [118]

Answer:

Step-by-step explanation:

beacause if you try to multiple 4x7.5 divided by 2 try it

6 0

2 years ago

PLEASE HELP ME ASAP! Please show your work.

Marysya12 [62]

Its 18....................................

6 0

2 years ago

Which cost less a 1,000 dollar computer discounted onto 20% then 10% or a 1,000 dollar computer discounted to 30% if that makes

kykrilka [37]

First one costs $720, second costs $700 so the second one the<span> 1,000 dollar computer discounted to 30%</span>

6 0

2 years ago

A laptop has a listed price of $899.98 before tax. If the sales tax rate is 7.25%, find the total cost of the laptop with sales

Tems11 [23]

Answer:

$965.23

Step-by-step explanation:

899.98 x .0725 = 65.25

899.98 + 65.25 = 965.23

- Hope this helps! If you need a further explanation please let me know.

3 0

2 years ago