All categories

2 years ago

Is 4.125... rational or irrational

1 answer:

7 0

$4.125\ is\ rational\ number\ because\ we\ can\ convert\ this\ number\\to\ the\ fraction\ \frac{p}{q}\ where\ p,\ q\in\mathbb{Z}:\\\\4.125=\frac{4.125}{1}=\frac{4.125\cdot1,000}{1\cdot1,000}=\frac{4,125}{1,000}$

You might be interested in

Find the sequence.. <br> 1,2,2,4,8

AlladinOne [14]

Let the n-th term be called $a_n$

We see that if we choose $a_0=1,a_1=2$ then the other numbers follow the pattern $a_{n+2}=a_{n+1}\cdot a_n$ (see : $4=2*2,8=4*2$ )

Hence the sequence will be $1,2,2,4,8,32,256, 8192, 2097152, 17179869184,\dots$

7 0

1 year ago

The function f(x) = xπ−−√ gives the diameter, in inches, of a proposed spherical sculpture with a surface area of x square inche

natka813 [3]

Answer:

The average rate of change of f(x) = 3.14 inches⁻¹

The change in f(x) = 49.32 in

Step-by-step explanation:

The surface area of the spherical sculpture = x and its diameter f(x) = πx.

The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14

Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx

dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²

df(x) = π × 15.7 = 49.32 in

3 0

2 years ago

A restaurant has a special whereby both parents can eat for $20 and each child can eat for $5. Assuming a family group consists

nordsb [41]

4groups of adults and 7 kids

5 0

1 year ago

Read 2 more answers

Which of the following represents the most accurate estimation of 388 - 212?

Anon25 [30]

The right answer is 176

7 0

2 years ago

Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How

Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates $(x_1,y_1)$ and $(x_2,y_2)$ can be calculated using formula

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.$

Therefore, the distance between Jacob and Sharon is

$D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.$

7 0

2 years ago