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Sholpan [36]
3 years ago
10

Classify the number as rational or irrational: 4.126532

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

That's the ratio of 4,126,532 to 1,000,000 so it's rational.

Here's a little factoid that I never see mentioned anywhere, but I think it can be really helpful to know:

==> Any number that you can WRITE DOWN COMPLETELY using digits (plus a decimal point or a fraction bar if you need them) is a rational number.

If " 4.126532 " is the whole thing, you sure nuff wrote it down, so it's rational.

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Prove: The square of a number that is
Nikolay [14]

Let 3<em>n</em> + 1 denote the "number" in question. The claim is that

(3<em>n</em> + 1)² = 3<em>m</em> + 1

for some integer <em>m</em>.

Now,

(3<em>n</em> + 1)² = (3<em>n</em>)² + 2 (3<em>n</em>) + 1²

… = 9<em>n</em>² + 6<em>n</em> + 1

… = 3<em>n</em> (3<em>n</em> + 2) + 1

… = 3<em>m</em> + 1

where we take <em>m</em> = <em>n</em> (3<em>n</em> + 2).

3 0
2 years ago
What is the simplest form for 3/8
Maslowich
So, 3 goes into 8 2 times and 2 will be left over so you would put:
2 2/8 or 2 1/4

7 0
3 years ago
Used use euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y ' = y +
brilliants [131]
We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.

To use Euler's method, define
y(i+1) = y(i) + hy'(i),  for i=0,1,2, ..., 
where
h = 0.1, the step size.,
x(i) = i*h

1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1 

2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04

3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232

4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258

5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593

Answer:  y(0.5) = 1.4593
4 0
3 years ago
Write 16^8 as a power with a base of 4
ruslelena [56]

(4^2)^8 would be the answer 4^2=16 and 16^8 is the same thing

4 0
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Read 2 more answers
Find x. Round to the nearest tenth.
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Answer:

55 = 550

Step-by-step explanation:

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