can you find the cube root of a negative number? if so, is it positive or negative? explain your reasoning

Answers

Answer 1

Answer: yes you can and it is negative because if you think about it, the answer to the 3rd power is your original question, so for example, -8 would equal to the answer times itself 3 times
now ask yourself, does 2 times itself 3 times = to -8
or -2 times itself 3 times = to -8

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a petting zoo has 5 lambs 11 rabbits 4 goats and 4 piglets. find the ratio of goats to the total number of animals. write the ratio in the simplest form then explain its meaning

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5 over 19 is the number of goats to animals

Find the remainder when 1 + 2 + 2^2 + 2^3 + ... + 2^100 is divided by 7.Thanks in advance!

Answers

Answer:

Step-by-step explanation:

This is a geometric series so the sum is:

a1 * r^n - 1 / (r - 1)

= 1 * (2^101 -1) / (2-1)

= 2^101 - 1.

Find the remainder when 2^101 is divided by 7:

Note that 101 = 14*7 + 3 so

2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.

By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.

So 2^101 mod 7 = (8 * 4^7) mod 7

= (8 * 4) mod 7

= 32 mod 7

= 4 = the remainder when 2^101 is divided by 7.

So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..

7(4+5+2)-6(3+5) evaluate the expression

Answers

Answer:

Step-by-step explanation:

7(4 + 5 + 2) - 6(3 + 5)

First we need to know what PEMDAS is. It is an acronym that helps remind you what steps to take when evaluating any kind of equation or expression.

P-arentheses
E-xponents
M-ultiplication
D-ivision
A-ddition
S-ubtraction

In PEMDAS, multiplication/division and addition/subtraction are in no particular order-- they are solved from left to right.

Knowing what PEMDAS means, you can start evaluating the expression. Start by solving inside the parentheses, as PEMDAS tells you to do.

Add 4 + 5 + 2 and 3 + 5 inside of the two parentheses in the expression.

7(11) - 6(8)

Since there are no exponents, you can skip this step and move on to multiplying 7 * 11 and 6 * 8.

(77) - (48)

The final process in evaluating this expression is to subtract 48 from 77.

29 is your answer.

Answer:

7(11) -6(8)

77-48=29

Step-by-step explanation:

What is nth term for 0 6 24 54 96?

Answers

Therefore, in the $nth$ term it would be $(n-1)+(18+12^n)=12^n+n+17$ .

What is the sequence ?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

$0,6,24,54,96,..$

Then ,

$0+6=6\n6+18=24\n24+(18+12)=54\n54+(18+12+12)=96\n96+(18+12+12+12)=150\n150+(18+12+12+12+12)=216\n216+(18+12+12+12+12+12)=294\n294+(18+12+12+12+12+12+12)=384\n.\n.\n.\n(n-1)+(18+12^n)=12^n+n+17$