How does simplifying a square root expression differ from simplifying a cube root expression?

Answers

Answer 1

The square root contains two same numbers and the cubic root contains three same numbers.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The square root contains two same numbers and the cubic root contains three same numbers.

For an example:-

√9 = [tex]\sqrt{3\times 3}[/tex] =  3 as we can see in the example the value of the square root of 9 is 3 it consists of two threes in the roots.

∛27 = [tex]\sqrt[3]{3\times 3\times 3}[/tex] = 3 here we have found that 27 contains 3 times 3 so the cube root of 27 will be equal to 3.

Therefore square root contains two same numbers and the cubic root contains three same numbers.

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Related Questions

Given a b and m/1 = 42°
What is m/6?
Enter your answer in the box.

Answers

Answer:0.166666667 metros

Step-by-step explanation:
espero te ayude

Which classification describes the following system of equations?
12x+5y-3z= 36
x-2y+4z=3
9x-10y+5z = 27

Answers

A consistent and independent system of equations describes the given system of equations.

The consistent and independent system of equations are given below.

12x+5y-3z= 36x-2y+4z=39x-10y+5z = 27

What is a consistent independent equation?

A consistent equation is a system of linear equations that is consistently unbiased when it has precisely one solution. While this is the case, the graphs of the lines within the system move at exactly one point. In inconsistent, a system of linear equations is inconsistent if it has no solutions.

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translate the following to and expression 5 times the difference of a number and 12

Answers

Answer:

5(a-12)

Step-by-step explanation:

5(a-12)

What is the sum of the arithmetic sequence 3, 9, 15..., if there are 24 terms? (5 points)

Answers

There's a fixed difference of 6 between terms (9 - 3 = 6, 15 - 9 = 6, and so on). The first term of the sequence is 3, so the [tex]n[/tex]-th term is

[tex]3 + 6(n-1) = 6n - 3[/tex]

If there are 24 terms in the sum, then the last term is 6×23 - 3 = 135.

Let [tex]S[/tex] be the sum,

[tex]S = 3 + 9 + 15 + \cdots + 123 + 129 + 135[/tex]

Reverse the order of terms:

[tex]S = 135 + 129 + 123 + \cdots + 15 + 9 + 3[/tex]

If we add up the terms in the same positions, we get twice [tex]S[/tex] on the left side, while on the right side we observe that each pair of terms will sum to 138.

[tex]S + S = (3 + 135) + (9 + 129) + (15 + 123) + \cdots + (135 + 3)[/tex]

[tex]2S = 138 + 138 + 138 + \cdots + 138[/tex]

and since there are 24 terms in the sum, the right side is the sum of 24 copies of 138. In other words,

[tex]2S = 24 \times 138[/tex]

and solving for [tex]S[/tex] gives

[tex]S = \dfrac{24\times138}2 = \boxed{1656}[/tex]

Click for the picture of the question it’s a multiple choice, I don’t even know where to begin

Answers

Answer:

b - read explanation if you are confused for future problems

Step-by-step explanation:

Inverse variation is when x*y = k whereas direct variation (may come up in future problems) is when y = x*k

Remember that k is always a set value while x and y are values that can change

In this case y*x = k so k = 18 (since y is 9 when x is 2)

So when  x = 8

8y = 18

y = 18/8 = 9/4

Answer is b! Not quite sure how to explain it tho

Suppose we want to choose 6 letters without replacement from 10 distnict letters. how many ways can this be done if the order of the choices is relavant

Answers

The number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Suppose we want to choose 6 letters without replacement from 10 distinct letters.

Number of letters = 10

Number of letters need to select = 6

Order is important.

A number of ways:

C(10, 6) = 10!/(10-6)!

= 10!/(4)!

= 151200

Thus, the number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.

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HEEEEEEELPPP AND QUICKKKKK PLEASE OMGOMGOMGGMOGMGOMGOMGOMGOGMOMGOMGOMGOGMOGMOMGOMGOMOGOG

Answers

Answer:

C (The third answer). The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

This problem can be thought similarly to: (x-2)²

A common mistake would to make the x squared and the -2 squared like x²+4, however, the problem should be solved like (x-2)(x-2) which equals to: x² - 4x + 4

In this question, if you square root an expression like ±√(b²-4ac), you cannot just take the square root of b² unless it was (b²)(-4ac).

The terms can only be divided individually if they are either multiplied or divided, but cannot if they are added or subtracted.

Determine the measure of the indicated angle!

Answers

The measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have triangles shown in the picture.

In the first triangle SUT:

PU is bisecting the angle SUT:

The measure of angle PUT:

Angle PUT = Half of Angle SUT

= 26/2

= 13 degrees

In the triangle SQR:

Angle SQP = Angle PQR

Angle SQP  = 21 degrees

Angle PQR = 21 degrees

Thus, the measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees

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m<1 = (3x + 4)º
m<2 = (3x + 4)º
m<3 = 29°
m<4 = 34°
m<5 = 25°

Answers

Answer: x = 44

Step-by-step explanation:

The exterior angles of a polygon add to 360 degrees so:

(3x+4)+(3x+4)+29+34+25=360 [forming equation]6x+96=360 [combine like terms]6x=264 [subtract 96 from both sides]x = 44 [divide both sides by 6]

solve 3(10)^x = 30,000

Answers

Answer: x = 4

Step-by-step explanation:

We will need to use logs here...

First divide each side by 3

[tex]3(10)^x=30000[/tex]

[tex]10^x=10000[/tex]

Then take the log of each side

Keep in mind that [tex]log_{10} (10)[/tex] gets canceled out to leave x

[tex]log_{10} (10^x)=log(10000)[/tex]

Finally, log(10000) = 4 because [tex]10^4=10000[/tex]

[tex]x = 4[/tex]

Try to get x isolated on one side.
Divide by 3 on both sides.
(10)^x = 10,000
Count how many zeroes there are in the number 10,000. There are 4 zeroes, therefore 10 was raised to the 4th power to get to 10,000.
That means “x” is 4. Hope this helps :)

write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help

Answers

Answer:

Step-by-step explanation:

Convert kilometer to miles:

1 km = 0.62 mi

So, to convert 6 km to mi, multiply 6 by 0.62.

6km = 6* 0.62

        = 3.72 mi

Convert liter to gallon:

1 L = 0.26 gal

To convert 2.5 L to gallon, multiply 2.5 by 0.26.

2.5 L = 2.5 * 0.26

         = 0.65 gal

Convert pound to kilogram:

1 lb = 0.45 Kg

To convert 90 lb to Kg, multiply 90 by 0.45.

90 lb = 90 *0.45

        = 40.5 Kg

what does a equal if 2÷a=(5/2)÷(5/4)

Answers

Question:

2÷a=(5/2)÷(5/4)

Answer:

a = 1

which greek mathematician wrote the most definitive text on geometry, one that is still referred torday.

Answers

Answer:

Pythagoras

Step-by-step explanation:

please mark me as brainlest

I think the answer is Euclid.

A main area of mathematics is called Euclidean Geometry.

como faltar a la escuela​

Answers

Answer:

Como faltar a la escuela. Por favor, ¿cuál es el significado?

Explain what happens when you have an exponent to the power of another exponent.

Answers

Answer:

The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56.

Step-by-step explanation:

A trader bought 30 baskets of pawpaw and 100 baskets of mangoes for 2450. she sold the pawpaw at a profit of 40% and the mangoes at a profit of 30%. if her profit on the entire transaction was 855, find the cost price of a basket of pawpaw and the selling price of 100 baskets of mangoes.

Answers

The cost price of pawpaw is 40 and the cost if the basket of mangoes is 1250.

How to calculate the price?

Based on the information given, the equations to solve the question will be:

30p + 100m = 2450 .... i

1.3 × 40p - 30 p + 1.3 × 100m = 855 ..... ii

30p + 100m = 2450

12p + 30m = 855

Solving simultaneously, the price of pawpaw is 40 and the price of mango is 12.5.

Therefore, the cost of 100 basket of mangoes will be:

= 12.5 × 100

= 1250

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How much weight does the women in the video lose in a year? 80 pounds 90 pounds 50 pounds 20 pounds

Answers

Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Medical practitioners recommend losing around 1–2 pounds (0.5–0.9 kg) per week.

Hence for a year:

Amount of weight loss = (1 * 365) or (2 * 365)

Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

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If b = 5, then the exact value of a is?

Answers

Answer:

5sqrt3

Step-by-step explanation:

You can use trigonometry to figure out the answer

TOA is tan(any angle) = opposite/adjacent

Tan(30) = 5/x

tan(30) = sqrt3/3

x = tan inverse (30) multiplied by 5

x = 5sqrt3

Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. 3 1/3 -1/3 −3

Answers

This is about interpretation of graphs.

Option C is correct.

From the graph, we can see the 2 lines representing function f(x) and function g(x).

Now for us to find the value of x in g(x) = k⋅f(x), we need get a mutual x-coordinate where we can easily read their respective y-coordinate values.

We see that the best point for that is where x = -3.

For f(x), when x = -3, y = 1

For g(x), when x = -3, y = -3

we can rewrite them as;

x = -3, f(-3) = 1 and x = -3, g(-3) = -3

Let us plug in the relevant values into g(x) = k⋅f(x) to get;

-3 = k(1)

Thus; k = -1/3

Write the sentence as an equation.

253 equals the product of 232 and k


Type a slash ( / ) if you want to use a division sign.

Answers

The solution to a given word problem by writing it as an equation is k = 253/232

Expressing word problems in mathematical forms:

The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.

From the given information, to express the word problem in mathematical form, we have:

253 = 232 × k253 = 232k

Making k the subject of the equation, we have:

k = 253/232

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Select all numbers that are a solution of the inequality.
Every month a salesperson adds 7 new accounts. The algebraic expression that represents the number of new accounts that he will add in m months is _____.

Answers

The algebraic expression that represents the number of new accounts that he will add in m months is x ≥ 7m.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Every month, a salesperson adds 7 new accounts.

Let m be the number of the month and x be the number of the accounts.

Then the inequality equation will be

x ≥ 7m

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Find the value of y.

Answers

Answer:

its 0

Step-by-step explanation:

you just gotta do the math correctly to get the answer. x & y are both values with different meanings. but in this case it's 0

there are 2 quarters 1 nickle and 2 dimes in a pocket what is the probility of choosing a coin not returning it too the pocket and then choosing another of greater value

Answers

The first coin chosen can be either a dime or nickel as the second coin must be of greater value.
P(dime followed by quarter) = 2/5 x 2/4 = 4/20 = 1/5
P(nickel followed by quarter or dime) = 1/5 x 4/4 = 1/5

P(second coin has higher value) = 1/5 + 1/5 = 2/5

City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than 3 times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. What was the temperature of City A and City B on that day?

A) City A was 5: C. and City B was 4° C.
B) City À was 3° C, and City B was -1° C
C)City A was 8° C. and City 3 was -3° C.
D)City À was 5° C, and City 3 was -5° C. ​

Answers

Answer:

A) City A was 5°C and City B was 4°C

Step-by-step explanation:

let temperature of City A be x and City B be y

According to the conditions of the question

4x = 8 + 3y (first temperature)

x - 2y = -3 (second temperature)

x = -3 + 2y

4(x) = (-3 + 2y)×4

4x = -12 + 8y

But it's already given that 4x = 8 + 3y

So,

8 + 3y = -12 + 8y

8 + 12 = 8y - 3y

20 = 5y

y = 20/5

y = 4

That means City B temperature was 4°C

So Option A

If you want you can find x to find City A temperature

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If the divisor is a decimal then you must multiply by a power of 10 to make it a whole number. Why is it important to multiply the dividend and the divisor by the same power of 10?

Answers

It is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.

Division of whole numbers

When the numerator and denominator of improper fractions are in whole number form, it makes the division a lot easier.

For example;

what is the simplest form of 0.1/0.2?

To obtain the simplest form of the above function, we multiple the numerator and denominator by 10.

= (0.1 x 10)/(10 x 0.2)

= 1/2

Note: introducing factor of 10 to both numerator and denominator has not changed the function.

Thus, it is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.

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Solve for x in the diagram below.

Answers

Answer:

x = 34

Step-by-step explanation:

A straight line is 180 degrees

We can sum angles to form a straight line

x+12 + 100 +x = 180

Combine like terms

2x+112 = 180

2x+112-112 = 180-112

2x = 68

Divide each side by 2

2x/2 = 68/2

x = 34

answer:

=x+12+100+x =180

=x+x+12+100=180

=2x+112=180

=2x=180-112

=2x=68

=2/2x=68/2

=x=34

Please help me! I need help. Please help me, I need help, please help me!

Answers

Answer:

17x

Step-by-step explanation:

3x+4+4x+4+3x-4+3x-4+4x

Collect liketerms

the roots of x+1/x=3 are: (x not equal to 0)​

Answers

Answer:

x^2-2x-3

Step-by-step explanation:

(x+1)(x-3)

x(x-3)+1(x-3)

Multiply both sides by x
x^2 + 1 = 3x
x^2 - 3x + 1 = 0
Completing the square
x^2 - 3x + (1.5)^2 - 1.25 = 0
(x - 1.5)^2 = 1.25
x - 1.5 = +- sr(1.25)
x = 1.5 +- sr(1.25)
x = 2.61803… or 0.381966…

You could use the quadratic formula x = (-b +- sr(b^2 - 4ac)) / 2a where ax^2 + bx + c = 0

I give you 12 points if you help me ;) it’s math

Answers

Answer:

y=23.6

Step-by-step explanation:

20+0.45×8

20+3.6

23.6

what are the true statements

Answers

D and C are true statements
Other Questions
Solve the following word problem.Money is invested at two rates of interest. One rate is 8 % and the other is 2%. If there is $1300 more invested at 8 % than at 2 %. find the amount invested ateach rate if the total annual interest received is $350. Let x = amount invested at 8% and y = amount invested at 2 %. Then the system that models the problem[x = y + 1300isSolve the system by using the method of addition.0.08x +0.02y = 350, Which of the following is not a characteristic of lipids?a. They enhance the flavors of foods.O b. They contribute to satiety.O c. They enhance aromas.O d. They provide abundant energy in small packages.Oe. They are beneficial to health irrespective of their intake. Sum to n terms of each of following series. (a) 1 - 7a + 13a ^ 2 - 19a ^ 3+... My dog Zeus won at the country dog show. What can be concluded about Zeus? Ideas spread from one group to another by the process of _____A. CultureB. Cultural dispersionC. DiasporaD. Cultural diffusion What is the length of line segment c d? round to the nearest tenth. 2.3 cm 4.0 cm 10.7 cm 18.6 cm Write a story that ends with "but everybody was happy Zac releases the air from a balloon. Which statement best describes what will happen to the air that was inside theballoon?O It will become more compacted.O will remain the shape of the balloon but not the size.O It will remain the size of the balloon but not the shape.It will expand to fill the room. Mayor WantedIn this activity option, imagine you and your partners were asked to write a job description for the mayor of a new city. The city has 10,000 people living there. Most people work for a factory that packages and ships prepared foods or for the local schools. The city needs people to run for mayor in the upcoming election. You will determine what a person running for mayor of this city needs to know and be able to do.Steps:Discuss life in this community with your partner or group. What might be happening in their news? Are most of the people younger, older, or in between? How do they spend their free time?Make a list of concerns that people would have in this city. Each partner or group member should list at least three concerns.Discuss the job of mayor for this city. Make a list of the qualities, skills, and experiences a mayor should have to serve the city well. Each partner or group member should list at least three qualifications. Consider the concerns your group listed in the previous step.Create a job description for a new mayor. Base it on your discussion and work with your group. People interested in running for mayor should know from your job description whether they are qualified to run. You could make it in a newspaper advertisement or article format. Be sure to include at least three qualifications that your group agreed on.For your S2 Collaborate, be sure to turn in:Brainstorm list (concerns in the city, qualifications for mayor)Evidence of group discussion (emails or other communication about the city)Mayor Job Description According to Steven Pinker, all of the following have gone down over the last 100 years, but for what Give the name (monomial,binomial, trinomial etc.) anddegree of the polynomial.15xName? [?]Degree? [ ] In which island of the greater antillies were both kalinagos and tainos found at the end of the fifteenth century The North was on the verge of victory prior to Lincolns 2nd Inaugural address. He chooses words and analogies that are humble; he does not brag about victory nor blame one side. Why would he want to avoid blaming either side? Solvex + 5-6 = 7.OA. x = -8 and x = -18OB. x = 8 and x = -8C. x = -8 and x = 18OD. x = 8 and x = -18 Unlike early federal-government responses to the Great Depression, FranklinD. Roosevelt's New Deal programs:A. Expanded the governments role in the economy.B. Reduced spending to account for falling revenue.C. Allowed banks to fail if they ran out of capital.D. Created high tariffs to encourage domestic spending. [tex]\{ \frac { ( \sqrt { 3 } ) \times 3 ^ { - 2 } } { ( \sqrt { 5 } ) ^ { 2 } } \} ^ { \frac { 1 } { 2 } }[/tex]solve this equation Does this graph represent a function? Why or why not? What is an operation? A. A process performed with numbers B. A way of showing an equality C. A symbol D. A type of acceleration To what orientation of philosophy do you adhere? find 20,21,22,23,24,25,26,27