Evaluate ∛-512 Use pencil and paper. Explain how you can check that your result is correct. Show your work.
nothing ​(Type an integer or a simplified​ fraction.)

Answers

Answer 1

Answer:

3√512 = 8

Step-by-step explanation:

Step 1: Find the prime factors of 512

512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

Step 2: Pair the factors of 512 in a group of three, such that they form cubes.

512 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2)

512 = 23 × 23 × 23

Using the law of exponent, we get;

512 = 29 [am.an = (a)m+n]

Or

512 = (23)3 [(am)n = amn]

512 = 83

Step 3: Now, we will apply cube root on both the sides to take out the factor (in cubes) as a single term.

3√512 = 3√(83)

So, here the cube root is eliminated by the cube of 8.

Hence, 3√512 = 8


Related Questions

can someone please explain inverse operations to me??

Answers

Answer:

The operation that reverses the effect of another operation. Example: Addition and subtraction are inverse operations. Start with 7, then add 3 we get 10, now subtract 3 and we get back to 7.

Step-by-step explanation:

Answer:

Inverse operations are opposite operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

PLZ MARK AS BRAINLIEST

susie begins a new walking program with 600m on the first day. Each day she will increase her walk by 200m.how many kilometers will she walk on day 18 of her program

Answers

Answer:

4200m

Step-by-step explanation:

200 times 18 is 3600

3600 plus 600 is 4200

Mark brainliest or I'll literally drink water

which number is rational

Answers

0.7 is the rational number

Answer:

The answer is D 0.7

The owner of a garden center pays $12 for each birdbath. She sells them for 55% more than she paid. Decide whether each expression represents the selling price for b birdbaths.Choose Yes or No for each expression.A.12b1 1. 55(12b) u Yesu Nob. 12(0 . 45b) u Yesu Noc.12b(1. 55)u Yesu Nod. 12(0 . 55b) u Yesu Noe. 12b(1 1 0.55)u Yesu No

Answers

Answer:

[tex]Selling\ Price = 12b(1.55)[/tex]

Step-by-step explanation:

Given

[tex]Cost\ Price = \$12[/tex]

[tex]Selling\ Price = 55\%\ more[/tex]

Required

Write an expression for the selling price for b birdbaths

This selling price for 1 birdbath is calculated as:

[tex]Selling\ Price = Cost\ Price + 55\% * Cost\ Price[/tex]

Substitute 12 for Cost Price

[tex]Selling\ Price = 12 + 55\% * 12[/tex]

Factorize:

[tex]Selling\ Price = 12(1 + 55\%)[/tex]

Express percentage as decimal

[tex]Selling\ Price = 12(1 + 0.55)[/tex]

[tex]Selling\ Price = 12(1.55)[/tex]

For b birdbaths, the selling price is:

[tex]Selling\ Price = 12(1.55) * b[/tex]

[tex]Selling\ Price = 12b(1.55)[/tex]

The options are not clear; However [tex]12b(1.55)[/tex] answers the question.

cylinder has r = h and the radius is 4 cm. What is the volume?

Answers

Answer:

201.06 cm

Step-by-step explanation:

so if the radius and height is the same, height would be 4 cm.

volume formula for a cylinder: V=πr2h

answer: 201.06

Allex has a $20 bill. At the corner store, he buys a
bag of Hot Fries for $1.99 and 6 packs of gum. He
gets $11.77 in change. What is the price of one
pack of gum?

Answers

Answer:

First we need to subtract the hot fries. 20 - 1.99 = 18.01

he gets 11.77 so lets subtract it is 6.94 left so now divide by 6 is 1.5666666 or 1.6 per pack

Step-by-step explanation:

3.5 - 1.05 please help

Answers

Answer:

The answer is 2.45

Step-by-step explanation:

I used this magic device called a calculator!

lol

The answer is 2.45 hope this helps! <3

Will mark BRAINLIEST !!1
1/3+5/6+3/4+1/2 =
(as a fraction)

Answers

First you have to get the least common denominator. It looks like, in this case, it’s 12. Then, 1/3 would become 4/12, 5/6 would become 10/12, 3/4 would become 9/12, and 1/2 would become 6/12. Adding those all together, you get 29/12, or 2 and 5/12. Hope this helps and have a nice day!

Answer:

answer;

1/3+5/6+3/4+1/2 =29/12

Please help me pleasee

Answers

Answer:

a

Step-by-step explanation:

Answer:

it would be the 2nd option

{(2,1) (1, 0) (0,1)}

Step-by-step explanation:

Find angles a, b and c?
Please help.

Answers

Answer:

B=112 degrees A=68 degrees and C=68 degrees

Step-by-step explanation:

the opposite angle of the 112-degree angle is the angle on the top left of the page, this means both of the angles are the same. You can then tell that that angle is the same as the one across from it because it shows on the page.  You can then figure out the opposite angle which is B so that means angle B is equal to 112 degrees. To figure out angle A you can just do 180 minus the angle B which is 112 degrees. You now know angle A which is 68 degrees, now to find the angle C you just have to notise that angle C is the opposite angle of angle A. This means that algle C is also 68 degrees.

Answer:

a=112

b=68

c=112

Step-by-step explanation:

Which detail in text number one do you better understand because of details in the text number two

Answers

There is no question in this

The price of a loaf of a particular type of bread increased from $3.69 to $5.49 from 2009 to 2019. What was the percent increase in the price of the loaf of bread over those years? Round your answer to the nearest tenth of a percent.

Answers

Answers:

A) 51.3%

B) 55.9%

C) 32.8%

D) 48.8%

Step-by-step explanation:

Answer:

48.8%

Step-by-step explanation:

find the labeled points

Answers

Answer:

A= (6,76.5)

B =(32,18)

C=(80,0)

Step-by-step explanation:

The inequalities given are ;

3x + 8y ≥ 240

9x + 4y ≥ 360

x≥6

y≥0

The graph for the inequalities is as follows;

From the graph,

A= (6,76.5)

B =(32,18)

C=(80,0)

I need this pls and thank you.

Answers

I think C
LET ME KNOW IF THIS HELPED

Can anybody help me with this ?

Answers

Answer:

1st scenario: 163.3°

2nd scenario: 125.2°

3rd scenario: 142.3°

Step-by-step explanation:

1st scenario: angles 1 and 2 form a linear pair and add up to 180

2nd scenario: angles 1 and 4 are same-side interior and add up to 180

3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3

A spinner has 14 equal areas Numbered one through 14 if the spinner is spun one time what's the probability that the result is a multiple of 3 or a multiple of 2

Answers

Answer:

0.643

Step-by-step explanation:

Given that :

{1,2,3,4,5,6,7,8,9,10,11,12,13,14}

Multiples of 2 : 2, 4, 6, 8, 10, 12, 14

Multiples of 3 : 3, 6, 9, 12

P(multiples o

(Multiples of 2 n multiples of 3) = {2,3,4,6,8,9,10,12,14} = 9

Probability = required outcome / Total possible outcomes

Hence,

P(multiple of 2 or 3) = 9 / 14 = 0.643

Hector spent $40.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $4.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?

Answers

Answer:

36.75 + 1 = 37.75 - 2.15 = 35.60/2 = 17.80

pid 2. The perimeter of triangle GHI is 40 cm. If both triangles are similar, then what is the length of JT. 15 cm 15 cm Wool 10 cm G​

Answers

Write your answer below:

Dena, Barb, Ryan, and Joe played a game where the lowest value wins. Dena's score was 3. Barbs score was -6. Ryan's score was -4. And Joe's score was -2. A) Joe's score beat Dena's score B) Ryan's score beat Barbs score C) Joe had the worst score D) Dena won the game

Answers

A) is the correct answer joe’s score beat dena’s score.

Answer:

A.) Joe's score beat Dena's score

Step-by-step explanation:

When you use negative numbers (Numbers that start with a negative sign (-)), the bigger the number after the negative, the smaller the number and also a negative number is always less than a positive number. This means that Joe's score beats Dena's score, because Joe's score is negative and Dena's score is positive, so Joe's score is lesser than Dena's score.

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::: CALCULATORS
Classify each polynomial according to its degree and type.
Monomial
Binomial
Trinomial
Degree 1
Degree 2
Degree 3
:: 9x
:: 5 - 2x3
:: - 4x2
:: x + 6
:: 3x² + 3x3 - 10
:: 4x2 - x
:: x - 3x² + 1

Answers

Answer:

Trinomial

Binomial

and monomial

Step-by-step explanation:

Please Help me!
If the sales-tax rate is 8%, how much will the total cost of a purchase of $200 be?

Answers

Answer:216

Step-by-step explanation:

because 200 times 8 percent = 16 so then you add 16 too 200 and get 216.

Parallelograms (5x+4). 59

Answers

Answer:

59 = (5x + 4)

x = 11

Step-by-step explanation:

59 = (5x + 4)

5x + 4 = 59

5x = 59 - 4

5x = 55

x = 55/5

x = 11

PLEASE HELP ME ITS URGENT!!! PLEASEEE IM BEGGING U

Answers

Answer:

The answer would be C.

Step-by-step explanation:

5 * 6 = 30

3(10) * 1 = 30

Hence, your answer would be C.

Answer:

c = 10

Step-by-step explanation:

1. Find x in the right triangle shown. Round your answer to the nearest tenth.
7
9
2.0
5.7
11.4
16.0

Answers

Answer:

well ya see ifjfbfhhdnsjdudhsbsjsjsnehdhsiwnshdjsjsh

I think the answer is 9

A forest covers 52000 acres. A survey finds that 0.4​% of the forest is​ old-growth trees. How many acres of​ old-growth trees are​ there?

Answers

Given:

Total forest area = 52000 acres

Area of old growth trees in the forest = 0.4%

To find:

The area of old growth trees.

Solution:

We have,

Total forest area = 52000 acres

Area of old growth trees in the forest = 0.4%

Area of old growth trees is

[tex]Area=0.4\% \text{ of total forest area}[/tex]

[tex]Area=\dfrac{0.4}{100}\times 52000[/tex]

[tex]Area=0.4\times 520[/tex]

[tex]Area=208[/tex]

Therefore, the area of old growth trees is 208 acres.

can you help me with this please ​

Answers

Answer:

slope is 4/3 y intercept is -3

Step-by-step explanation:

there is no calculations needed

help me pls i don't know

Answers

Answer: so the a is 4 and the b is 3

that means you have to write 6+1+1 and that equals 8.

your answer is 8

Step-by-step explanation:  in order to get that you have to replace a with 4 and b with 3, if you do you will see that they are simplified to 1. so if you add that the answer is 8. i hope this helped.

PLEASE HELP



James had a collection of 500 Matchbox cars at the beginning of the summer.


After the summer, James had traded some of his Matchbox cars and now he has only 485 Matchbox cars.


What is the percent decrease of his Matchbox car collection?

Answers

500 - 485 = 15
1% = 5 (b/c 5 x 100 = 500)
check: 5 x 3 = 15

Lost 3%

Kinda a bad explanation but yea

NEED HELP ASAP! ill give brainliest

Answers

Answer: (0,3) 2. no

Step-by-step explanation:

{y=2x
{x=-y+6

please help i have a 27 in this class please help

Answers

Answer:

x = 2

Step-by-step explanation:

y=2x so

x=-2x+6

add 2x to both sides

3x=6

divide both sides by 3

x=2

the answer would be x =2
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