Can someone help with this!

Mathematics

1 answer:

svlad2 [7]3 years ago

5 0

Answer:

its option three

Step-by-step explanation:

You might be interested in

A Country sales tax is 6 2/3% . what is the percent as A fraction in simplest form

Anna007 [38]

6+2/3% <--- Given
(6+2/3)/100 <--- Definition of percent
(20/3)/100 <--- Putting the top into an improper fraction
20/300 <--- Dividing the fractions
1/15 <--- Simplifying the fraction

Hope this helps!

6 0

3 years ago

Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.

Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all $n\in\mathbb{N},3|(4^n+5)$ . This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let $n=1$ , then we have $4^{1}+5=9$ , and evidently, $9|3$ .

Assume that $4^n+5$ is divisible by $3$ for $n=k, k\in\mathbb{N}$ . Then, by this assumption, $3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}$ .

Now, let $n=k+1$ . Then:

$4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)$

Since $3|(4^k+m)$ , we may conclude, by the axiom of induction, that the property holds for all $n\in\mathbb{N}$ .

3 0

2 years ago

A university is composed of five schools. The enrollment in each school is given:

Lostsunrise [7]

Answer:

34.767 enrollments/computer

Step-by-step explanation:

According to the Hamilton's method, the standard divisor, D, is determined by dividing the number of enrollments in all schools by the number of new computers available:

$D=\frac{1050+1410+1850+2540+3580}{300}\\D=34.767\ enrollments/computer$