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2 years ago

Can you fine the cube root of a negative number? If so, is it positive or negative? Explain your answer.

Mathematics

1 answer:

Nata [24]2 years ago

6 0

Answer:

Yes, you can find the cube root of a negative number. The answer will be negative!

Step-by-step explanation:

Example: Find the cube root of -27

We know that a cube root is a number multiplied by itself 3 times (NOT MEANING THE NUMBER TIMES 3)

For example, The cube root of 27 positive is 3 because 3 x 3 x 3 = 27

But if we are using a negative number: It is really different because we got to know the rules.

The setup: -3 x -3 x -3 = -27

If we started with -3 x -3 first we know that a negative times a negative equals positive so the answer will be 9 positive, then we have this equation left:

9 x -3 = -27

The rule with this is a number times a negative is negative, so the answer of the question "Find the cube root of -27 is -3"

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Express in terms of logarithm without exponents

sdas [7]

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\\ \quad \\
% Logarithm of rationals
\\ \quad \\
% Logarithm of exponentials
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-----------------------------\\\\
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\\\\\\log_b(x)+2log_b(y)-6log_b(z)$

now, the one below that, which is equivalent to that? well, just look above it

6 0

2 years ago

A 2.5 ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles

Deffense [45]

Answer:

15.71 ft

Step-by-step explanation:

Given that:

width of the circular track = 2.5ft

Suppose the radius of the inner circle is 57 ft since it is not given

Then the radius of the outer circle = (2.5 + 57) ft = 59.5 ft

The circumference of a circle = 2πr

For inner circle now, the circumference = 2 × π × 57 ft

For inner circle now, the circumference = 358.14 ft

For the outer circle, the circumference = 2 × π × 59.5 ft

For the outer circle, the circumference = 373.85 ft

The difference between the circumference of the outer wheel from the inner wheel shows how farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn

∴

= ( 373.85 - 358.14 ) ft

= 15.71 ft

6 0

2 years ago

Y=-7X-14<br> 1. What is the y-intercept of the graph of the given function? How do you know?

34kurt

Answer:

(0, -14)

Step-by-step explanation:

The y intercept of the graph of the function is at (0, -14)

In the equation y = mx + b, the constant b is the y value of the y intercept. In this equation, b is equal to -14, so this means the y intercept is at (0, -14).

We can also find the y intercept by setting x equal to 0, then solving for y.

Substitute 0 for x:

y = -7x - 14

y = -7(0) - 14

y = 0 - 14

y = -14

So, the y intercept is at (0, -14)

7 0

3 years ago

Find the slopes of the tangent lines to the given curves parametrics cos2t sin3t

amm1812

3sin2tcos3t-2sin2tsin3t

4 0

3 years ago

Reduce to simplest form -\dfrac{1}{4}-\left(-\dfrac{3}{5}\right)=−

Arturiano [62]

Hehehehe
Hahaha
Eat eat eat ugly ah glad to help
I did the quiz

6 0

2 years ago