All categories

3 years ago

Evaluate (1/3)^3 from Brainly

Mathematics

2 answers:

NikAS [45]3 years ago

7 0

Answer:

1/27

Step-by-step explanation:

(1/3)^3 = (1/3)(1/3)(1/3) = 1/(3x3x3) = 1/27

I hope this helped, and if it did, please mark this as brainliest! Thanks!

GuDViN [60]3 years ago

6 0

Answer:

simplified: 1/27

rewritten: 3^-3

Step-by-step explanation:

You might be interested in

Find the ratio in simplest form. 30:6 A. 1:5 B. 4:1 C. 5:1

nekit [7.7K]

ANSWER

The simplest form of the ratio
$30:6$
is

$5:1$

EXPLANATION

The ratio given to us is
$30:6$

We can divide each term in ratio by the same number.

To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is
$6.$

This implies that,

$30:6 = \frac{30}{6} : \frac{6}{6}$

We simplify this to obtain,

$30:6 = 5: 1$

The correct answer is C.

Alternatively,

$30:6 = \frac{30}{6}$

$30:6 = \frac{5}{1}$

This implies that,

$30:6 = 5:1$

6 0

3 years ago

Read 2 more answers

You are looking at a map of Texas. The scale indicates that 1 inch is equivalent to 100 miles. The distance on the map from Abil

rosijanka [135]

Answer:

200 miles

Step-by-step explanation:

1 inch = 100 miles

2 inch = 2*100 = 200 miles

5 0

3 years ago

Solve 4x + 1 = 3 – 2x

romanna [79]

Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 1 = 3 - 2x

Step 2: Solve for x

Add 2x on both sides: 6x + 1 = 3
Subtract 1 on both sides: 6x = 2
Divide 6 on both sides: x = 1/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(1/3) + 1 = 3 - 2(1/3)
Multiply: 4/3 + 1 = 3 - 2/3
Add/Subtract: 7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

7 0

3 years ago

Read 2 more answers

Solve 73 make sure to also define the limits in the parts a and b

Aleks04 [339]

73.

$f(x)=\frac{3x^4+3x^3-36x^2}{x^4-25x^2+144}$

$\lim_{x\to\infty}f(x)=\lim_{x\to\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3$ $\lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\cdot\frac{1}{2}=3$

Since we can't divide by zero, we need to find when:

$x^4-2x^2+144=0$

But before, we can factor the numerator and the denominator:

$\begin{gathered} \frac{3x^2(x^2+x-12)}{x^4-25x^2+144}=\frac{3x^2((x+4)(x-3))}{(x-3)(x-3)(x+4)(x+4)} \\ so: \\ \frac{3x^2}{(x+3)(x-4)} \end{gathered}$

Now, we can conclude that the vertical asymptotes are located at:

$\begin{gathered} (x+3)(x-4)=0 \\ so: \\ x=-3 \\ x=4 \end{gathered}$

so, for x = -3:

$\lim_{x\to-3^-}f(x)=\lim_{x\to-3^-}-\frac{162}{x^4-25x^2+144}=-162(-\infty)=\infty$ $\lim_{x\to-3^+}f(x)=\lim_{x\to-3^+}-\frac{162}{x^4-25x^2+144}=-162(\infty)=-\infty$

For x = 4:

$\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$ $\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$

4 0

10 months ago

What is the mode of the following set of numbers: 10, 20, 30, 20, 30, 10, 30, 20, 30, 15 *

likoan [24]

Answer:

A. 30

Step-by-step explanation:

Because it showed up the most

6 0

3 years ago

Read 2 more answers