Simplify x^1/3(x^1/2+2x^2)


Answers

Answer 1

Answer:

[tex]x^{5/6 } + 2\cdot x^{7/3}[/tex]

Step-by-step explanation:

Let be [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex], which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1) [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex]  Given.

2) [tex]x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2})[/tex] Distributive and associative properties.

3) [tex]x^{5/6 } + 2\cdot x^{7/3}[/tex] [tex]a^{m}\cdot a^{n} = a^{m+n}[/tex]/Result


Related Questions

What is the solution to the equation below? (Round your answer to two
decimal places.)
3.6* = 15.57

Answers

Answer:

The answer would be C

Step-by-step explanation:

Multiply 6 by 0.87 to get 5.22, and then multiply 5.22 with 3 to get your answer :)

Answer: x=3

Step-by-step explanation:

asap please !
What is the probability of rolling a 6 on a fair die if you know that the roll is an even number? Give your answer as a simplified fraction.

Answers

Answer:

3

Step-by-step explanation:

6 divided bye 2=3

33.33333%

fraction is 1/3

Find the area of the figure.

Answers

Divide the shape into a rectangle and a triangle.

A(rectangle) = bh
A = 8*3
A = 24

A (triangle) = (bh)/2
A = (3*3)/2
A = 4.5

24 + 4.5 = 28.5

Help sorry nothing was attached last time

Answers

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

[tex]Length=2x+7[/tex]

Area of a rectangle is:

[tex]A=length\times width[/tex]

[tex]A=(2x+7)\times x[/tex]

[tex]A=2x^2+7x[/tex]

The area of a rectangle is 99 square yd.

[tex]2x^2+7x=99[/tex]

[tex]2x^2+7x-99=0[/tex]

Splitting the middle term, we get

[tex]2x^2+18x-11x-99=0[/tex]

[tex]2x(x+9)-11(x-9)=0[/tex]

[tex](x+9)(2x-11)=0[/tex]

Using zero product property, we get

[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]

[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]

[tex]x=-9[/tex] and [tex]x=5.5[/tex]

Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.

Now, the length of the rectangle is:

[tex]Length=2x+7[/tex]

[tex]Length=2(5.5)+7[/tex]

[tex]Length=11+7[/tex]

[tex]Length=18[/tex]

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.

A circle has a circumference of 11,304 units

Answers

Circumference = 2 pi r

11304 = 2 x 22/7 x r
11304 x 7/2x22 =r = 1798.36

Please help me with my work give brainlessly

Answers

Answer:

Volume = 684 in^3

Step-by-step explanation:

To start, the equation for Volume = L*W*H

So, lets begin with the cube on the top, all of its sides are 6 inches in length, so do:

6*6*6 to get the volume of just it

216

Next. lets get the rectangular prism.

6*6*13

468

Last, combine these.

684 in^3

Help please I am struggling pretty bad thank you

Answers

Answer:

1.024 cm

Step-by-step explanation:

volume of Sphere is given by; V=4/3(πr³).

by making r subject of formula, the equation for r is;

r=³√(3v)/4π

given from question that V=4.5cm³, π=3.14, substituting the values in the equation for r,

we have that;

r=³√[3(4.5)]/[4(3.14)]

r=1.024 cm ( 2 significant figures?

Errrr I'm confused... help?

Jane and Shane are debating the answer to the equation 1/4 x = 6.

Jane says m = 1.75

Shane says m = 24

Who is correct?

Please give reasons why

Answers

Answer:

Heyaa! Im Pinky! Im here to inform you that you're answer is....

Step-by-step explanation:

!!! Shane Is correct because.... !!!

Explanation:

1. 1/4 of x is 6 becomes

2.  1/4X=6

3. X=6 / 1/4

 4. X=6/1 X 4/1

Answer: X=24

Have An Amazing Dayy!!!!

~Pinky~

A rectangle has a length of 2 units and a width of 1 3/4 units? What is it’s area?

Answers

Answer:

3/2

Step-by-step explanation:

4 x 4/12=
Sheeeeeeeeeeeeeeeesh

Answers

Answer:

1.3 or [tex]\frac{13}{10}[/tex]

Hope this helps!

Answer:

Exact form: 4/3 and mixed number is 1 1/3

Step-by-step explanation:

I hope this helped


Two similar shapes have a pair of corresponding sides which are easily measurable.
The smaller shape's side has a length of 4m, and the larger shape has a side length of
5m. If the area of the smaller shape is 80m², what is the area of the larger shape?

Answers

Answer:

hi. im looking for fr33 p01nts. hope u understand.

Step-by-step explanation:

Answer:

125 m²

Step-by-step explanation:

Given sides of similar shapes in the ratio a : b then

ratio of area = a² : b²

Here ratio of sides = 4 : 5 , so

ratio of areas = 4² : 5² = 16 : 25

let x be the area of the larger shape then by proportion

[tex]\frac{16}{80}[/tex] = [tex]\frac{25}{x}[/tex] ( cross- multiply )

16x = 2000 ( divide both sides by 16 )

x = 125

Then area of larger shape is 125 m²

Here is the distribution of blood types from a group
of randomly selected people:
Blood
Type:
o
А
B
AB
Probability:
0.49
0.27
0.20
0.04
Joe can safely receive blood transformations from
people with blood types O and B. What is the
probability that a randomly chosen person can
donate blood to Joe?

Answers

Answer:

0.69

Step-by-step explanation:

Add both 0.49 and 0.20 (blood types)

0.49+0.20 = 0,69

The probability that a randomly chosen person can donate blood to Joe

would be 0.69.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

The distribution of blood types from a group of randomly selected people:

Blood          Probability:                    

o                  0.49

A                  0.27

B                  0.20

AB                0.04

Joe can safely receive blood transformations from people with blood types O and B.

The probability that a randomly chosen person can donate blood to Joe

= 0.49 + 0.20

= 0.69

Learn more about probability here;

https://brainly.com/question/11234923

14. Maddy received $100 for her birthday and decided to go shopping. She bought 2 shirts priced at
$12.25 each, a necklace for $8.50, and a pair of shoes for $22.75. If all the prices included tax,
and Maddy paid with a $100 bill, how much change is she getting back?

Answers

Answer: The answer should be 66.07$.

Step-by-step explanation:

If i am wrong I am sorry I don't know the % of tax that was taken.

Sven earns $750 in his first month at a new part-time job. If his pay rate increases by 0.5% each month, how much will Sven have earned after one year?

Answers

Answer:

Step-by-step explanation:

750.05 easy :)

Answer:

$796.26

Step-by-step explanation:

answer on my exam

16. What is the volume of the rectangular prism?*
1 point
5 in.
s in
3.4 in.

Answers

Answer:

85

Step-by-step explanation:

i useed the formula LxWxH

i came up with 85

5x5x3.5

Terrell de shays statement balance is $432.10 he has one outstanding check for $37.00 what is terrells adjusted balance?

Answers

Answer:

add 37.00 to 432.10. so you get 432.10 + 37.00 = 469.1

pls answer w work/equation explained sooonnn

Answers

Answer:

15.5 in

Step-by-step explanation:

To find diameter from circumference, divide circumference by π

48.67/3.14=15.5

The answer is 15.5 inches

PLSSSS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

The coordinates of the vertex are (3, -3)

Hope this helps!!

ILL GIVE BRAINLIEST 5x +2y = 24 solve for x

Answers

Answer:

x = 24/5 - 2y/5

Step-by-step explanation:

Find value of x???????????

Answers

Answer:

5 is the answer

xdxdddx thank you

Answer:

The answer is 5.

Step-by-step explanation:

Using pythagoras theorem:-

[tex]13^{2}[/tex] = [tex]x^{2}[/tex] + [tex]12^{2}[/tex]

=> [tex]13^{2}[/tex] - [tex]12^{2}[/tex] = [tex]x^{2}[/tex]

=> [tex]x^{2}[/tex] = 25

=> [tex]x[/tex] = [tex]\sqrt{25}[/tex]

∴ [tex]x[/tex] = 5

Find the diameter of the object.

diameter: __ cm

Answers

Answer: 1 1/5

Step-by-step explanation: 3/5 is the radius so you would times the radius by two to get the diameter which is 1 1/5.

HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!

Answers

The answer is 6/5 converting it to a mixed fraction it will be 1 1/5 ( one and one-fifth)
Hope this is clear

A triangle has angle measurements of 53°, 37°, and 90°. What kind of triangle is it?

Answers

Answer: right triangle since it has a right angle of 90°

Explanation:

A line passes through points (-3,5) and (2,-10) which equation represents the line

Answers

Answer:

y=-3x-4

for the line that passes through the points

help please ill give you brainliest if it’s right.

Answers

Answer:

[tex] \frac{4}{3} \times \pi \times {21}^{3} = 38772.719999383[/tex]

Exact Volume =  12348pi

Approximate Volume =  38772.72   (when using pi = 3.14)

Units for the volume are in cubic inches

====================================================

Explanation:

The cube has a side length of 42 inches.

Because the sphere is as large as possible, yet fully contained in the box, this means the diameter of the sphere is 42 inches.

If the diameter is 42, then the radius is half that at 21.

Plug r = 21 into the formula below to compute the volume of the sphere

V = (4/3)*pi*r^3

V = (4/3)*pi*21^3

V = (4/3)*21^3*pi

V = 12348pi  .... exact volume

If we use the approximation pi = 3.14, then we would get,

V = 12348*pi

V = 12348*3.14

V = 38772.72 .... approximate volume

The units for the volume are in cubic inches. If you need more accuracy for the approximate volume, then use more decimal digits of pi.

In an experiment with 50 trials, the number 5 occurred 17 times, the number 6 occurred 8 times, the number 7 occurred 13 times, and the number 8 occurred 12 times. Let p be defined on the set {5, 6, 7, 8}. Find each of the following. Write each probability rounded to the nearest hundredth.

Answers

Explicaciones paso a paso:

Primero es necesario aclarar que el porcentaje en total es igual a 100%

Entonces si en total todos los ensayos dan un total de 50 ensayos lo único que se debería de hacer para conocer la probabilidad de cada número sería multiplicar por 2 el número de veces que ocurrió cada número.

Respuesta:

5 = 34%

6 = 16%

7 = 26%

8 = 24%

Espero haber ayudado y que tengan un buen día.

The Question: Find the measure of the angle marked with the question mark.
Please help me.

Answers

So we know that a line equals 180° so first you would subtract 180-38 which is 142°. Then we know that the other angle is 90° so you would subtract 142-90. So the unknown angle is 52°

The plot shows the number of students in a
certain school who have 0, 1, 2, 3; 4, or 5 pets.
What is the median number of pets for these 100
students?

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

I don't know, but it makes the most sense. It can't be 1, that's too low. And it obviously not 22.5 or 30. So that means either 1.5 or 2, and 2 is the most centered. Therefore, I'm guessing 2.

Given that (2,-8) is on the graph of f(x), find the
corresponding point for the function
f(x + 5).

Answers

Answer:

i dont know man

Step-by-step explanation:

What should replace a, b, and x in B(t) = abx for the amount of money in the account, B(t), after t months with an initial deposit of $100.

Answers

Answer:

[tex]B(t) =100 * (1 + r)^t[/tex]

Step-by-step explanation:

Given

[tex]B(t) = ab^x[/tex]

[tex]x = t[/tex] ---- months

[tex]a = 100[/tex] --- Initial deposit

Required

Replace a, b and x

Substitute: [tex]a = 100[/tex] in [tex]B(t) = ab^x[/tex]

[tex]B(t) = 100 * b^x[/tex]

Substitute:[tex]x = t[/tex]

[tex]B(t) = 100 * b^t[/tex]

From the question, the rate, r is not given.

And

[tex]b = 1 + r[/tex]

So, the expression becomes:

[tex]B(t) =100 * (1 + r)^t[/tex]

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