Rational exponents

I need help ASAP!! Can someone solve and explain step by step how to do it???

Rational Exponents I Need Help ASAP!! Can Someone Solve And Explain Step By Step How To Do It???

Answers

Answer 1

Answer:

a . x = 512

b. x^1/2•y•z^5/4

Step-by-step explanation:

a. Here in this question, we want to find the value of x, given the equation.

x^2/3 = 64

Now, to find the value of x, we shall raising both powers to the reciprocal of 2/3

When we talk of reciprocal, we mean a number such that when we multiply this number by that particular number, our result is 1.

So for 2/3, the reciprocal is 3/2

So let’s raise the power of both sides to 3/2

Thus;

x^2/3(3/2) = 64^3/2

Kindly recall that 2/3(3/2) = 2/3 * 3/2 = 1

Thus ;

x = 64^3/2

So what this mean is that we will find the square root of 64 and cube our answer.

Thus;

x = {√(64)}^3

x = 8^3

x = 512

b. According to laws of indices, kindly note that

b√(a) = a^1/b

Thus;

4 √(x^2•y^4•z^5) = (x^2•y^4•z^5)^1/4

So what we do is to multiply each of the powers in the bracket by 1/4

Thus, we have the following;

x^2(1/4) • y^4(1/4) • z^5(1/4)

= x^1/2•y•z^5/4

where • simply refers to multiplication between the terms


Related Questions

Find the area of the following shape. Show all work

Answers

Best way to solve this is by using

[tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex]where \: s = \frac{a + b + c}{2} [/tex]

s=(12+8+17)/2

=18.5

using the formulae

area =43.5

Will give brainliest
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? ___adult tickets

Answers

Answer: The number of the adult tickets is 168

Step-by-step explanation: * Lets explain how to solve the problem

- The adults ticket costs $10.50

- The students ticket costs $3.75

- The total money of the opening night is $2071.50

- The equation of the total money earned in the opening night is:

10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket

 and b is the number of the student ticket

- There were 82 students attended

* Lets solve the problem

∵ 10.50 a + 3.75 b = 2071.50

∵ The number of the students attended is 82

∵ b is the number of the students

∴ b = 82

- Substitute the value of b in the equation

∴ 10.50 a + 3.75(82) = 2071.50

∴ 10.50 a + 307.5 = 2071.50

- Subtract 307.5 from both sides

∴ 10.50 a = 1764

- Divide both sides by 10.50

∴ a = 168

∵ a is the number of the adult tickets

∴ The number of the adult tickets is 168

Give credit to ashraf 82

Answer:

The answer is 168

Step-by-step explanation:

Evaluate the expression when c = 4 and x = -2.
-C+ 6x

Answers

Answer:

-16

Step-by-step explanation:

We are given the expression:

-c+6x

and asked to evaluate when c=4 and x=-2. Therefore, we must substitute 4 in for c and -2 in for x.

-(4)+6(-2)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.

First, multiply 6 and -2.

6 * -2= -12

-(4)+ -12

-(4) -12

Distribute the negative sign.

-4 -12

Subtract 12 from -4.

-16

The expression -c+6x when c=4 and x= -2 is -16.

Answer:

-16

Step-by-step explanation:

Start with -C+ 6x.  Replace C with '4' and x with '-2'

This comes out to -(4) + 6(-2) = -4 - 12 = - 16

interpret the parts of the expression 9x + 4y – 5. Rewrite the expression as a sum: _______________

Answers

Answer:

9x + 4y +(-5)

Step-by-step explanation:

Given

9x + 4y - 5

Required

Interpret

Write as a sum

The parts of an expression can be interpreted in the following ways; Terms, Variables, Constant, Coefficient, etc.

The terms are the expression being added together and they are 9x, 4y and -5

The variables are the represented with alphabets they change in values; the two variables in the given question are x and y

Constant are numbers standing alone; This is 5

Coefficient are numbers in front of variables; In this case, the coefficient are 9 and 4

Writing 9x + 4y - 5 as a sum

The -5 can be written as +(-5); So, we have

9x + 4y +(-5)

PLEASE HELP ME I GIVE 5 STARS !

Answers

Answer:

It's the 2nd option 2*2*3*3*5

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

you find a square root that goes into 180. i did 4 times 45. when you break apart 4 you get two times two. when you break apart 45 to get another square root, you get 9 times 5. when you break down 9 you get 3 and 3. so it is 2 times 2 times 3 times 3 times 5

Which of these is a ratio table?
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7.
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7.
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9.
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.

Answers

Answer:

  A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.

Step-by-step explanation:

The table with a constant ratio between A and B is the one with entries ...

  B/A = 2/1 = 4/2 = 6/3

The ratio is 2. The table is the last one described here.

Answer:

b

Step-by-step explanation:

hope this helps

please help i beg plsssssssssz​

Answers

Answer:

5/2=20/8=35/14=125/50

Answer:

8, 14, 50

Step-by-step explanation:

5 x 4 = 20

2 x 4 = 8

5 x 7 = 35

2 x 7 = 14

5 x 25 = 125

2 x 25 = 50

Four students are verifying that x2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table. A 4-column table with 1 row. First column is labeled Damien with entry 3(negative 4) = negative 12, so the factors are correct. Second column is labeled Lauryn with entry negative 4 + 3 = negative 1, so the factors are correct. Third column is labeled Rico with entry negative 4(3) = negative 12 and negative 4 + 3 = negative 1, so the factors are correct. Fourth column is labeled Latisha with entry 4(negative 3) = negative 12 and negative 3 + 4 =1, so the factors are correct. Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)? Damien Lauryn Rico Latisha

Answers

Answer:

Latisha correctly verified that x² + x - 12 = (x - 3)(x + 4)

Step-by-step explanation:

In the problem, each student was to give their explanation of why the statement above is correct. In order to know if this statement is correct, you can also simply multiply the terms after the equal sign.

(x - 3)(x + 4)

Use foil method to multiply.

x² - 3x + 4x - 12

Combine like terms.

x² + x - 12

You can also find out if the statement is correct is multiplying and adding the numbers together.

-3 * 4 = -12

-3 + 4 = 1

So, Latisha is correct because her explanation verified the statement above.

Answer:

Latisha

Step-by-step explanation:

Correct on edg

QUICK IT IS FOR, NOW!!! I WILL GIVE BRAINLIESTS AND 10 POINTS
When p2 – 4p is subtracted from p2 + p – 6, the result is: -3p-6, 5p-6 or 4p+6. To get p – 9, subtract: 4p+3, 4p-15 or 4p+12 from this result.

Answers

Step-by-step explanation:

p² - 4p is subtracted from p² + p - 6 is written as

p² + p - 6 - (p² - 4p)

Remove the bracket and simplify

That's

p² + p - 6 - p² + 4p

p² - p² + 4p + p - 6

We have the answer as

5p - 6

Let the unknown expression be x

Subtract x from the expression to get p - 9

That's

5p - 6 - x = p - 9

x = 5p - p - 6 + 9

x = 4p + 3

The expression is

4p + 3

Hope this helps you

(-6x)(½y)(-⅓z) what is the product?

Answers

Answer:

xyz

Step-by-step explanation:

[tex](-6x)(\frac{1}{2}y)(-\frac{1}{3}z) = (-6)*\frac{1}{2}*(-\frac{1}{3}) * xyz = \frac{6}{6} xyz = xyz[/tex]

Tom ate 3/8 of a pizza, and his brother ate 2/5 of the remainder. What fraction of the pizza was left?​

Answers

Answer:

3/8 is left

Step-by-step explanation:

Tom ate 3/8 of the pizza

Take 1 - 3/8

8/8 - 3/8 = 5/8

5/8 of the pizza is left

The brother at 2/5 of the remainder

5/8  * 2/5

2/8

1/4

His brother at 1/4 of the  of the pizza

5/8 - 1/4

5/8 - 2/8

3/8 is left

Please help me I promise I will mark you brainliest if you are correct!!!!!!!!!!!!!!!!!!!!!!!!!! Use the graph of f to estimate the local maximum and local minimum. A quadratic graph is shown. The graph intercepts the x axis at approximately -2.8 and 1.2. A). No local maximum; local minimum: approx. (1,-7.67) B). Local maximum: (-2,8); local minima: (-3,0) and (3,3) C). Local maximum: approx. (1,8.08); local minima: approx. (-2,-7.67) and (3,2.75) D). Local maximum: ∞ local minima: (-3,0) and (3,3)

Answers

Answer:

Local Maximum Approx.: (1,8.08)

Local Minima Approx.: (-2,-7.67) and (3,2.75)

Step-by-step explanation:

Local maximums and minima there the highest and lowest points, respectively, on a graph in a specific region. (This is different from absolute maximum and minimum, which are the highest and lowest points overall.)

These are pretty clear to see on a curve, as they are the "turns" or the points where the curve switches direction from up to down or down to up.

On your graph, we have two local minima and one local maximum. The local minima are at x= -2 and x=3. The local maximum is at x=8. Because of the way the graph is, we have to approximate the y-values of each point.

The answer option which best describes this is the third option, so that is your answer.

sinθ/(1-〖cos〗^2 θ)=cosecθ

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

cosec x = [tex]\frac{1}{sinx}[/tex]

Consider the left side

[tex]\frac{sin0}{1-cos^20}[/tex]

= [tex]\frac{sin0}{sin^20}[/tex] ← cancel sinΘ on numerator/denominator

= [tex]\frac{1}{sin0}[/tex]

= cosecΘ = right side

There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true? I. db III. c3

Answers

Complete question is;

There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?

I. d < c

II. d > b

III. c/3 < d <a/3

A) I only

B) III only

C) I and III only

D) II only

E) I, II and III

Answer:

The correct option is C

Step-by-step explanation:

From the question, the 3 hoses combined together will fill the pool faster than the time for the hoses to accomplish it individually. Therefore, the time "d" will be lesser than any of the individual times used by each hose.

Hence, statement I is true and II is false.

Now, we know that if each of the three hoses took c days to complete the job, then together they would take c/3 days. However, in reality, two of the three hoses even took more than c days. So, in a nutshell together they would take more than "c/3" days, and therefore d > c/3.

Likewise, if each of the three hoses took "a" days to finish the job, then when combined together, they would take "a/3" days. Now, two of the three hoses used fewer than "a" days and so when combined together they would take less than "a/3" days and therefore d < a/3.

If we combine the last 2 paragraphs, we will arrive at c/3 < d < a/3 and that is same as statement III.

Thus, statement I and III are true. The correct option is C

Which of the following is an irrational number?
5 / 4
√5 / 7
1/ 8
3 / 5

Answers

Answer:  [tex]\sqrt{5} /7[/tex]

Step-by-step explanation:

5/4 is not an irrational number because it is already in a fraction the same as 1/8 and 3/5.

The square root of 5 is not rational because it cannot be converted to a fraction or in other words is not a perfect square.

Answer:√5 / 7

Step-by-step explanation:

What are all of the properties of kites? This is an inquiry comprised within the means of 'high school' 'geometry'.

Answers

Properties of Kite:

[tex] \Large{ \boxed{ \rm{ \red{Refer \: to \: the \: attachment}}}}[/tex]

It is a quadrilateral in which two pairs of adjacent sides are equal in measure.

➤ Like Here, AB = BC and AD = CD

The diagonals intersect at right angles. Here, OA = OC and angle A = angle CDiagonals bisect the touching angles. Like here, Diagonal BD intersects angle B and angle D.Diagonal BD divides the kite into two congurent triangles of equal area. So, these triangles can overlap each other.

━━━━━━━━━━━━━━━━━━━━

0.21212121 as a fraction

Answers

Answer:

21212121/100000000

Step-by-step explanation:

21212121/100000000 cannot be simplified

Hope this helps!

Answer:

0.21212121 Cannot be converted into a fraction

help asap will give 10 points

Answers

Answer:

FALSE

Step-by-step explanation:

The properties of exponents tells us that

[tex]9^9\ \ *\,\,9^{-20}\,=\,9^{9-20}\,=9^{-11}[/tex]

Answer:

False

Step-by-step explanation:

[tex](9 {}^{9} ) \times (9 {}^{ - 20}) = 9 {}^{9 + ( - 20)} = 9 {}^{9 - 20} = 9 {}^{ - 11} [/tex]

Hope this helps ;) ❤❤❤

3. E, F and G are collinear points. E is between F and G.
If FE = 3 in., and FG = 7 in., what is the length of EG?
a. 4
c. 3
I
b. 10
d. 21

Answers

Answer:

A. 4 in

Step-by-step explanation:

Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.

If E is between F and G, the FE+EG = FG

EG = FG - FE

Given FE = 3 in and FG = 7 in

On substituting into the expression above to get EG;

EG = 7in - 3in

EG = 4in

Hence the length of EG is 4in

Is a 118 supplementary or complementary?pls ASAP!!

Answers

Answer:

[tex]\huge\boxed{Supplementary \ Angle}[/tex]

Step-by-step explanation:

118 is a supplementary angle. It is not a complementary angle because complementary angles add up to 90 and 118 is greater than 90 degrees. So, 118 is a supplementary angle and it is an angle adding up to 180 degrees with any other angle measuring 62 degrees.

Answer:Supplementary

Step-by-step explanation:You should remember that complementary refers to any number from 0-90 and supplementary refers to any number from 90 onwards..

Hereby giving the answer as ''Supplementary''

On Tuesday, Dec. 3, I began drinking a glass of cola every day except Saturday and Sunday. I drank my 22nd glass of cold on A) Dec. 24 B) Dec. 25 C) Dec. 31 D) Jan. 1

Answers

Answer:

The correct option is;

D) Jan. 1

Step-by-step explanation:

The given information are;

The date at which drinking a glass of cola a day of cola began = Dec 3

The days in which to drink cols = Every day of the week except Saturday and Sunday

The number of glasses of drinking cola = 22

In the fires week, number of days in which to drink cola = Tuesday, Wednesday, Thursday, and Friday which is 4 days

On the week commencing Dec 9, 5 glasses drank

On the week commencing Dec 16, 5 glasses drank

On the week commencing Dec 23, 5 glasses drank

On the week commencing Dec 30, 3 glasses drank

Therefore on the week commencing Dec 30, cola was drank on the 30th, 31st and the 22nd glass was drank on Jan. 1

The correct option is Jan. 1.

Find the median of the following frequency distribution

Answers

Answer:

3

Step-by-step explanation:

First right out all the data in numerical order from left to right.

2, 2, 2, 3, 4, 5, 7

The median is the middle number in the set.  If there is an even amount of data points, find the average of the two middle numbers.  If there is an odd number of data points, like in this data set, just take the middle number as you median.

There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.

When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3.  Therefore, 3 is the median of this data set.

What is the value of this expression when c = -4 and d = 10?

Answers

Answer:

[tex]\Large \boxed{\mathrm{\bold{B. \ 9}}}[/tex]

Step-by-step explanation:

Plug in c = -4 and d = 10 for the expression.

1/4(-4³ + 10²)

Evaluate the expression.

1/4(-64 + 100)

1/4(36)

36/4 = 9

Answer:

[tex]\huge\boxed{B. \ \ 9}[/tex]

Step-by-step explanation:

1/4 (c³ + d²)

Given that c = -4 and d = 10

1/4 ( -4³ + 10²)

1/4 ( -64+100)

1/4 ( 36 )

=> 9

What is the name of the property illustrated in the equation below?

5+(3x+0)=5+3x

Answers

Answer:

Step-by-step explanation:

Additive identity property.

The sum of any number  and zero is the original number

3x + 0 = 3x

Directions: Using the digits 0 to 9, fill in the boxes so that the chart is accurate. Use each digit only once per blue box and once per red box. Logs are base 10. Please help me out with this would really appreciate it, thanks.

Answers

Step-by-step explanation:

log 10 = 1.  So if log x < 1, then x < 10.  And if log x > 1, then x > 10.

The upper left number is the smallest, and can't be smaller than 1.  If the exponent is 0, we can put any number in the red box.

The fractions in the upper right and lower left need to be as large as possible.  The denominators will be small, and the numerators will be large.

From there, a little trial and error does the rest.  The are many possible answers.  I've included one.

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 3.5 minutes and the standard deviation was 0.70 minutes. What is the probability that calls last between 3.5 and 4.0 minutes? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

Answers

Answer:

0.2611

Step-by-step explanation:

Given the following information :

Normal distribution:

Mean (m) length of time per call = 3.5 minutes

Standard deviation (sd) = 0.7 minutes

Probability that length of calls last between 3.5 and 4.0 minutes :

P(3.5 < x < 4):

Find z- score of 3.5:

z = (x - m) / sd

x = 3.5

z = (3.5 - 3.5) / 0.7 = 0

x = 4

z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71

P(3.5 < x < 4) = P( 0 < z < 0.714)

From the z - distribution table :

0 = 0.500

0.71 = very close to 0.7611

(0.7611 - 0.5000) = 0.2611

P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611

f(x) = x^2. What is g(x)?

pls help

Answers

Answer:

A. g(x)= 1/3x²

Step-by-step explanation:

The graph of the function g(x) has a point (3,3) on it.

So

g(3) = 3

Let's check which of the answer choices is correct:

A. g(x)= 1/3x²g(3) = 1/3*3² = 3g(3) = 3This is correct

B. g(x)= (1/3x)²

g(3) = (1/3*3)² = 1g(3) = 1 ≠ 3Incorrect

C. g(x) = 1/9*x²

g(3)= 1/9*3²= 1g(3) = 1 ≠ 3Incorrect

D. g(x)= 3x²

g(3)= 3*3²= 27g(3) = 27 ≠ 3Incorrect

Correct choice is A. g(x)= 1/3x²

We can calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation e=17/20d. How many U.S. dollars have the same value as 1 euro?

Answers

Answer: 1.18 dollars

Step-by-step explanation:

Given that:

E = Euros

D = US dollars

If the equation showing the relationship between Euros and Dollar

is E = 17/20D

To find the equivalent amount of dollars for 1 euros, substitute E for 1 in the formula and make D the subject of formula

1 = 17/20 D

Cross multiply

17D = 20

D = 20/17

D = 1.18 dollars approximately

Therefore, 1.18 dollars have the same value as 1 euro.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: X < 10
Hope this helps!

Answer:

x<10

Step-by-step explanation:

On the number line it shows that the dot is at 10.  Since the dot is not colored in, we know it's not greater/less than or equal to.  Greater/less than or equal to is where it shows the symbol, but it's underlined, like this: ≤.  Only when the dot is colored in, is there a possibility it is greater/less than or equal to.  So it can be greater than or less than something.  Since it starts at 10 and is decreasing, it is going to be less than.

X will be less than something.  And because the dot is at 10, it means 10 was the start.  X is less than 10 since the arrow is pointing to where the numbers are decreasing.  So, x<10.

Please help.. very confused

Answers

Answer:

D { -1,0,3,5}

R { -3,-1,1,7}

Step-by-step explanation:

The domain is the input values

3,-1,5,0

We normally put them from smallest to largest

D { -1,0,3,5}

The range is the output values

1,-3,7, -1

We normally put them from smallest to largest

R { -3,-1,1,7}

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