Smplify the radical expression. How many different ways can you write your answer?

Smplify The Radical Expression. How Many Different Ways Can You Write Your Answer?

Answers

Answer 1

Answer:

[tex]2xy\sqrt[3]{2x^2z}[/tex] and [tex]2xy(2x^2z)^{\frac{1}{3}}[/tex].

Step-by-step explanation:

The given radical expression is

[tex]\sqrt[3]{16x^5y^3z}[/tex]

We have to simplify the above expression.

The above expression can be written as

[tex]\sqrt[3]{(2\times 8)(x^{3+2})y^3z}[/tex]

[tex]\sqrt[3]{(2\times 2^3)(x^3\times x^2)y^3z}[/tex]    [tex][\because a^{m+n}=a^ma^n][/tex]

[tex]\sqrt[3]{(2^3x^3y^3)(2x^2z)}[/tex]

[tex]\sqrt[3]{(2xy)^3}\sqrt[3]{2x^2z}[/tex]    [tex][\because (ab)^m=a^mb^m][/tex]

[tex]2xy\sqrt[3]{2x^2z}[/tex]    [tex][\because \sqrt[n]{x^n}=x][/tex]

It can be written as exponent form.

[tex]2xy(2x^2z)^{\frac{1}{3}}[/tex]    [tex][\because \sqrt[n]{a}=a^{\frac{1}{n}}][/tex]

Therefore, the required expressions are [tex]2xy\sqrt[3]{2x^2z}[/tex] and [tex]2xy(2x^2z)^{\frac{1}{3}}[/tex].


Related Questions

If 3x-5=10x+9, what is 4(x+7)?

Answers

Answer: not sure

Step-by-step explanation:

Answer:

Hey there!

3x-5=10x+9

-5=7x+9

-14=7x

x=-2

4(x+7)

4(-2+7)

4(5)

20

Hope this helps :)

what is a other name for the set of all x-values

Answers

Answer:

its domain

Step-by-step explanation:

Answer:

i believe it is A- range.

Step-by-step explanation:

i took the quiz

A
B
C
D
WHICH ONE??
PLEASE HELP ME !!!​

Answers

Answer:

Is it B?

Step-by-step explanation:

ab^2 + 2a^2b + 4a + 2b

ab(b+2a) +2(2a+b)

ab(b+2a) +2(b+2a)

(ab+2)(b+2a)

that's why ab+2 is the answer.

Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7

Answers

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

x = 4

Plug this into the first equation:

y = 3(4) - 23

y =  -11.

It takes Carrie 58 minutes to get home. If Carrie leaves for home at 1:32, what time will she arrive?

Answers

Answer:

2:30

Step-by-step explanation:

58+32=90

90-60=30

2:30 is the answer

Answer: she will get home at 2:30

Step-by-step explanation:

If you start at 1:32 then take 28 min from 58 then you get 2:00

Finally add 30 yo that and get 2:30.

Can someone help me solve (a) and (c) pls.
Thanks ​

Answers

Answer:

Area of ABCD = 959.93 units²

Step-by-step explanation:

a). By applying Sine rule in the ΔABD,

  [tex]\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

  [tex]\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

 Sin∠DBA = [tex]\frac{35\times \text{Sin}(110)}{46}[/tex]

 m∠DBA = [tex]\text{Sin}^{-1}(0.714983)[/tex]

 m∠DBA = 45.64°

 Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°

                  m∠ADB = 24.36°

c). Area of ABCD = Area of ΔABD + Area of ΔBCD

  Area of ΔABD = AD×BD×Sin([tex]\frac{24.36}{2}[/tex])

                           = 35×46Sin(12.18)

                           = 339.68 units²

   Area of ΔBCD = BD×BC×Sin([tex]\frac{59.92}{2}[/tex])°

                            = 46×27×(0.4994)

                            = 620.25 units²

   Area of ABCD = 339.68 + 620.25

                            = 959.93 units²

The diagram shows a parallelogram.
4 cm
7 cm
100°
Work out the area of the parallelogram.
Give your answer to 2 significant figures.

Answers

Answer:

27.44 square cm

Step-by-step explanation:

If the length of parallelogram is a and b and angle between side a and b is [tex]\alpha[/tex].

Then area of parallelogram = [tex]a*b*sin(\alpha ) = ab sin(\alpha )[/tex]

Given side length 4 cm and 7 cm

angle between them = 100°

value of sin(100°) = 0.98

Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44

Thus, area of given parallelogram is 27.44 square cm.

PLEASE HELP ME!!! Write 5 Euclid's postulates​

Answers

Answer:

The postulates are as follows:

A straight line segment may be drawn from any given point to any other.A straight line may be extended to any finite length.A circle may be described with any given point as its center and any distance as its radius.All right angles are congruent.If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles.

HELP ME ASAP Check all that apply. If cos0=15/17 , than: A. sec0 = 17/15 B. csc0 = 17/15 C. sin0 = 15/8 D. tan0 = 8/15

Answers

Answer:

D. tan 0 = 8/15 and A. sec 0 = 17/15

Step-by-step explanation:

Cos 0 = adjacent/ hypotenus

Adj = 15 and Hyp =17

Using pythagoras theory

Opp^2 = 17^2 - 15^2

Opp^2 = 289 - 225

Opp^2 = 64

Therefore Opp = 8 which is the square root of 64

tan 0 = opp/adj

tan 0 = 8/15

Sec 0 is the multiplicative inverse of cos 0

Select the correct answer. What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]? A. 2 B. 3 C. 5 D. 6

Answers

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [- 1, 1 ] , thus

f(b) = f(1) = 5 ← from graph

f(a) = f(- 1) = - 5 ← from graph , thus

average rate of change = [tex]\frac{5-(-5)}{1-(-1)}[/tex] = [tex]\frac{10}{2}[/tex] = 5 → C

Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality 3 + t less-than 5.5 represents the situation. Which number line shows how much longer Allen can run and still meet his goal?

Answers

Answer:

Kindly check attached picture for number line.

Step-by-step explanation:

Total time Allen would love to complete race is less than 5.5 hours

Time elapsed = 3 hours

Inequality representing the problem above :

3 + t < 5.5

Where t will mean the time left.

Solving for t

t < 5.5 - 3

t < 2.5

Time left is < 2.5 hours.

Answer:

Open Circle to the left from 2.5

Step-by-step explanation:

A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inches per millisecond in both directions. If x represents the position on the string from the left-most end, so that 0≤x≤10, which of the following equations can be used to find the location x of the vibration after 0.3 milliseconds? A. | x -5 | =0. 3 B. ∣cx−5∣=0.3 C. | x -0.3 | = 5 D. | x - 10 | =0.3c

Answers

Answer:

The correct option is

[tex]A. \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex]

Step-by-step explanation:

The parameters given are;

The length of the string = 10 inches

The speed or rate of travel of the wave = c inches per millisecond

The position on the string from the left-most end = x

The time duration of motion of the vibration to reach x= 0.3 milliseconds

The distance covered = Speed × Time = c×0.3

Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;

The location on the string where it is plucked = center of the string = 10/2 = 5 inches

Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches

Therefore, on the left side of the center of the string we have;

The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)

On the right side of the center, the distance from x is -(5 - x) = x - 5

Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is [tex]\dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex] or [tex]\left | x - 5 \right | = 0.3 \times c[/tex] which gives the correct option as A

I will mark brainiest if correct Let ​f(x)=5x−7 and ​g(x)=x+3. Find​ f(g(x)) and​ g(f(x)).

Answers

Step-by-step explanation:

f(g(x))= 5(g(x))- 7 = 5(x+3) - 7 = 5x +8

g(f(x)) = f(x) +3 = 5x -7 +3= 5x -4

help me solve this please

Answers

(-2,7) because of the circle equation.
Please mark brainliest! Thank you

Answer:

Center : (-2, 7)

Radius : 6

Step-by-step explanation:

If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.

Gym A charges a $25 membership fee and a $25 monthly fee. Gym B charges a $55 membership fee and a $10 monthly fee. After how many months will the total amount of money paid to both yoga clubs be the same? What will the amount be?

Answers

Answer: 75

solve:

For gym A

total cost= membership fee+monthly fee

membership fee=25

monthly fee=25

cost of x month=25x

total cost=25+25x

for gym B

membership fee=10

total cost=55+10x

now total cost are same

25+25x=55+10x

15x=30

x=30/15

x=2.

2 months

and amount =25+25*2=75

Answer:

2 months, they will have paid 75 dollars

Step-by-step explanation:

Gym A

25+ 25m  where m is the number of months

Gym B

55 + 10m

Set them equal

25+25m = 55+10m

Subtract 10m from each side

25+25m-10m = 55+10m-10m

25+15m = 55

Subtract 25 from each side

25+15m-25 = 55-25

15m = 30

Divide by 15

15m/15 = 30/15

m=2

After 2 months

25+25(2) = 25+50 = 75

The cost is 75 dollars

helppp
Determine the x-intercept of the line whose equation is given:
y = StartFraction x Over 2 EndFraction minus 3
a.
(6, 0)
b.
(negative 6, 0)
c.
(0, three-halves)
d.
(Negative three-halves, 0)

Answers

Answer:

A

Step-by-step explanation:

If you put your function in a graphing calculator you will get (6,0)



Nzjksjsjdidnxnskusxh

Answers

Answer:

99cm^2

Step-by-step explanation:

Look at pic

Simply apply the formula :
Area of a triangle = 1/2 x base x height

A = 1/2 x 18 x 11=
A = 99 cm^2

Solve the system of equations by substituion,
-5x + y = 3
7.5x - 1.5y = 3

Answers

the first equation, make the y as the subject. y = 3 + 5x, then substitute y in the second equation and you will get the value of x. then, substitute the x in the first equation (y = 3 + 5x)

5. Solve 2(1 - x) > 2x.

a. x > 2

b. x < 2

c. x < 0.5

d. x > 0.5​

Answers

Answer:

I do not know for sure but i think it might be B.

Step-by-step explanation:

Im not the smartest so yeah hopefully that is the answer you are looking for tho :D

find the value of t perimeter

Answers

Answer:

t = 15.2 is the answer

Step-by-step explanation:

1. Make an equation

numbers to find perimeter = perimeter

Side + Side + 2 unknown sides = perimeter

12 + 7.8 + 2t = 50.2

2. Simplify like terms

19.8 + 2t = 50.2

3. Solve

19.8 + 2t = 50.2

-19.8        - 19.8

2t = 30.4

t = 15.2

4. Check:

12 + 7.8 + t + t = 50.2

12 + 7.8 + (15.2) + (15.2) = 50.2

50.2 = 50.2   Correct!

Hope this helped,

Kavitha

Answer:

t = 15.2 miles

Step-by-step explanation:

First, let's add the top and bottom numbers together.

7.8 + 12 = 19.8 mi

Next, we subtract that from 50.2 to get the combined value of both t's.

50.2 - 19.8 = 30.4 mi

Finally, we can divide 30.4 by 2 to get the value of t.

30.4 ÷ 2 = 15.2 mi

To check our answer, we can add all the sides up to see if they equal to 50.2. 15.2 + 15.2 = 30.4

30.4 + 12 + 7.8 = 50.2

Multiply the polynomial.

(4x+2)(x-2)

PLEASE HELP!!! ASAP!!!

Answers

Answer:4x2−6x−4

Step-by-step explanation:

(4x+2)(x−2)

=(4x+2)(x+−2)

=(4x)(x)+(4x)(−2)+(2)(x)+(2)(−2)

=4x2−8x+2x−4

=4x2−6x−4

Answer:

(4x+2)(x-2)

= 4x(x-2) +2(x-2)

=4x^2-8x + 2x-4

=4x^2 - 6x -4

Given: JP = KP; PX = PY Prove: ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K. Which best describes the missing reasons? ♣: ♦:

Answers

Answer:

Which best describes the missing reasons?

♣:reflexive property

♦: SAS

   

Step-by-step explanation:

I just did it.

The missing reasons is ♣: reflexive property

We have given that,

JP = KP; PX = PY

ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K.

We have to determine which best describes the missing reasons.

What is the reflexive property?

The reflexive property of equality states that a number is always equal to itself. Reflexive property of equality. If a is a number, then. a = a. a=a.

♣: reflexive property

♦: SAS

To learn more about the reflexive property visit:

https://brainly.com/question/2019080

#SPJ2

 

A researcher plans to conduct a significance test at the 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computer the power is'

Answers

Answer: 0.10

Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.

Power is the probability of avoiding a type 2 error. That is ;

Power = 1 - P(type 2 error)

Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computer the power is  0.10.

Calculation of the probability:

Since  The type 2 error should be committed at the time when the alternative hypothesis should be rejected

So, it can be like

Power = 1 - P(type 2 error)

Given that power = 0.90 ;

P(type 2 error) = probability of committing a type 2 error.

Now

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

Learn more about probability here: https://brainly.com/question/10695144

What value of x is in the solution set of 2x-3> 11 - 5x?
-3
2

Answers

Answer:

x >2

Step-by-step explanation:

2x-3> 11 - 5x

Add 5x to each side

2x+5x-3> 11 - 5x+5x

7x -3 > 11

Add 3 to each side

7x-3+3 > 11+3

7x >14

Divide by 7

7x/7 > 14/7

x >2

This is just probability, please help me !

Answers

Answer:

4/5

Step-by-step explanation:

Two are white.

10 total marbles.

10 - 2

8 are not white.

8/10

Simplify or reduce.

⇒ 4/5

I have two U.S. coins that total 30 cents. One is not a nickel. What are the two coins?

Answers

To solve the given problem, we need to know the types of US coins. The given problem is one of the tricky problems. So lets find out

In the united states, there are six types of coins produced. Penny- 1 cent, nickel- 5 cents, dime- 10 cents, quarter- 25 cents, half dollar- 50 cents and dollar- 100 cents. So u should know these types to slove this know lets move on to the :

Answer and Explanation:

The given problem is a kind of a riddle. It is given that the total of two US coins is

30

cents.

One is not a nickel, But the other one can be a nickel=

5

cents. So, the first one coin is a quarter=

25

cents. Which gives the total

30

cents.

Therefore, the two coins are a nickel and a quarter.

Hope you understood it!!!

Q2:
Which expression is equivalent to 4(x + 1) – 7(x + 3)?

A
11x + 25
B
11x – 17
C
–3x – 17
D
–3x + 25

Answers

Answer:

The expression equivalent to the given equation is -3x - 17

Step-by-step explanation:

4(x + 1) - 7(x + 3)

Distribute 4 to (x + 1) and distribute 7 to (x + 3).

4x + 4 - 7x - 21

Combine like terms.

-3x - 17

a) Complete the table of values for y = 3x – 1
X
-2
-1
0
1
2
3
y
I
-4
5

Answers

Answer:

x          |          y

− 2                − 6

− 1                − 3

0                    0

1                     3

2                    6

hope this helps!

The table of values for the equation y = 3x - 1, is attached.

x y

-2 -7

-1 -4

0 -1

1 2

2 5

3 8

What are equations?

Equations are relations between two or more variables, used to find the value of an unknown variable from the known value of other variables.

How do we solve the given question?

We are given the equation y = 3x - 1. We are asked to complete the table, for the given values of x: -2, -1, 0, 1, 2, 3.

To find the y variable, for the given x's, we substitute each value of x, one at a time in the equation.

Value of y when x = -2 is, y = 3(-2) -1 = - 6 - 1 = -7.Value of y when x = -1 is, y = 3(-1) -1 = - 3 - 1 = -4.Value of y when x = 0 is, y = 3(0) -1 = 0 - 1 = -1.Value of y when x = 1 is, y = 3(1) -1 = 3 - 1 = 2.Value of y when x = 2 is, y = 3(2) -1 = 6 - 1 = 5.Value of y when x = 3 is, y = 3(3) -1 = 9 - 1 = 8.

We put all these values of y, for the corresponding value of x in the table. The completed table is attached.

Learn more about equations at

https://brainly.com/question/4344214

#SPJ2

Which of the following is a term in the algebraic expression:
p2 + 12p-14?
A. 12
B. p3
C. 3
D.P

Answers

Answer:

Hello!

____________________

Your answer would be (C).

Hope this helped you!

If there are 9 square patches on the quilt, how many circle patches are there?

Answers

Answer:

5

Step-by-step explanation:

there are 5 circle patches on the quilt

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