simplify 3
[tex] \sqrt[3]{a} - \sqrt[5] {a}^{2} \times ( {a}^{ - 1} )^ \frac{1}{2} [/tex]

Answers

Answer 1

Answer:

why is there no picture?

Answer 2

9514 1404 393

Answer:

  cuberoot(a) - 1/tenthroot(a)

Step-by-step explanation:

The applicable rule of exponents seems to be ...

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

Expressing all radicals using rational exponents, we want to simplify ...

  [tex]a^{\frac{1}{3}}-(a^{\frac{2}{5}})(a^{-\frac{1}{2}})\\\\=a^{\frac{1}{3}}-a^{\frac{4-5}{10}}\\\\=a^{\frac{1}{3}}-a^{-\frac{1}{10}}=\boxed{\sqrt[3]{a}-\dfrac{1}{\sqrt[10]{a}}}\\\\=\boxed{\sqrt[3]{a}-\dfrac{\sqrt[10]{a^9}}{a}}[/tex]

__

We have shown two simplified expressions. You can choose the one that matches your requirements. Sometimes we don't want any radicals in the denominator.


Related Questions

Out of his monthly salary, Josh spends 37.5% on his bills, on groceries, and on transportation. If he decides to save of the remaining part, what percentage of his salary will he save?
A.
10%
B.
6.25%
C.
7.5%
D.
8.75%

Answers

D.8.75 uhhwhuiheiuheiuheiuhsiuhsiuhhhiush

The side of a square was reduced by 3 in and the other side was enlarged by 5 in. The area of a new rectangle is 9 square inches. Find the side of a square

Answers

Answer:

4

Step-by-step explanation:

Give the other guy a 5 star my dude lol

The square has a property of having all the sides equal. The rectangle on the other hand has its opposite sides equal. The larger side of the rectangle is called length and the smaller side is called breadth. The area of rectangle is the product of length and breadth i.e.

[tex]\rm Area\:of\:rectangle = Length\: \times Breadth[/tex]

The side of square for the given question is [tex]4\rm \: inches[/tex].

Calculation:

Let the side of square be [tex]\rm x[/tex]

Given:

Area of rectangle is 9 square inches.

Side of square is reduced by 3 and other side is enlarged by 5. Therefore, dimensions of the rectangle will be:

[tex]\rm Breadth = x - 3\\\\Length = x + 5[/tex]

[tex]\rm Area\:of\:rectangle = Length\: \times Breadth\\\\9 = (x + 5)(x -3)\\\\9 = x^2 + 5x -3x -15 \\\\9 = x^2 +2x - 15 \\\\0 = x^2 +2x-15-9\\\\0 = x^2+2x-24\\\\[/tex]

On factoring the equation:

[tex]\begin{aligned} \rm x^2 + 2x -24 &= 0\\\\x^2 + 6x - 4x - 24 &= 0\\\\x(x+6)-4(x+6) &= 0\\\\(x+6)(x-4)&=0\end[/tex]

On equating [tex]\rm (x +6)[/tex] and [tex](x-4)[/tex] with 0 we get:

[tex]x = -6\\\\x=4[/tex]

Since side of square cannot be negative, [tex]x = 4[/tex] is the only correct value.

Therefore the side of square is [tex]4 \:\rm inches[/tex].

Learn more about the topic here:

https://brainly.com/question/22249467

Ab- 4, 12, 14, 16
ABC- 31, 41, 52, 59
Math help!

Answers

Answer:

14.42cm and 59 degrees

Step-by-step explanation:

Use the pythagorean theorem to find the length of AB

24^2 + AB^2 = 28^2   ---> 14.42

Do arcsin(24/28) to get 59 degrees since 24 is the opposite and 28 is the hypotenuse.

helpppp please any answers

Answers

Step-by-step explanation:

2 + 3 × 6 + 4 × 3

Here, Parantheses should be put,

(2 + 3) × 6 + 4 × 3. (P.E.D.M.A.S) ( First Parantheses)

= 5 × 6 + 4 × 3 (Then multiplication)

= 30 + 12. (At last addition)

= 42

In the coordinate plane, what is the distance between (3, 7) and (3, -1) ?

Answers

The answer would be 8, you have to use the distance formula.
Answer: eight. seven minus negative one is 8

28. On a trip of 320 miles, Sunao's truck averaged 9.2 miles per
gallon. At the same rate, how much gasoline would his truck
use on a trip of 440 miles?

Answers

Ayo can I get it’s 440 miles

Domain or range and function or not

Answers

Answer:

This is a function.

domain = [1, 6]

range = [1, 4]

Step-by-step explanation:

A relation that maps elements from one set (domain) into another set (input) is called a function only if each element of the domain is mapped into only one element in the range.

For a function y = f(x) the domain is the set of the possible x-values, and the range is the set of the possible y-values.

In this case we can see that the possible values of x is the interval [1, 6]

Where we have a closed interval because we have black dots, meaning that these values are included in the sets.

We also can see that the range is the interval [1, 4]

And we also can see that all the x-values are mapped into only one y-value, then this is a function.

A hubcap has a radius of 13 centimeters. What is the area of the hubcap? Round your answer to the
nearest hundredth. Use 3.14 for.
HELP PLZ

Answers

Answer:

530.66 square cm

Step-by-step explanation:

A=pi*r^2

A=pi*13^2

A=530.66

Answer:

A = 530.91 [tex]cm^2[/tex]

Step-by-step explanation:

The formula to find the area of a circle is ([tex]A = (pi)r^2[/tex]), where ([tex]A[/tex]) represents the area of the circle, ([tex]pi[/tex]) represents the value ([tex]3.1415...[/tex]), and ([tex]r[/tex]) represents the radius of the circle. Use this knowledge, and substitute in the given information, to solve for the area of the circle.

[tex]A = (pi)r^2\\\\A = (3.1415)(13)^2\\\\A = (3.1415)169\\\\A = 530.91[/tex]

The drawing shows a heart-shaped figure. The heart is composed of a square and two semicircles. The semicircles have the center in the middle of two of the sides.
a) Set up a formula to calculate the area of ​​the heart.

Answers

Answer:

Area = πx² + x² or x²(π + 1)

Step-by-step explanation:

The area of the heart = area of a circle + area of the square

Note:

1. The 2 semicircles makes 1 full circle

2. The diameter of the circle = the side length of the square

Thus:

Area of the heart = πr² + s²

Where,

r = x

s = x

Formula for area of the heart = π(x²) + x² = πx² + x²

Area = x²(π + 1)

can yall help..me out a lil

Answers

Answer:

53 in^2

Step-by-step explanation:

Divide the arrow into two shapes, a triangle and a rectangle. Now find the area for both of them.

Rectangle: l*w

4*8=32 in^2

Triangle: 1/2bh

1/2(6)(11-4)

3*7

21 in^2

Combine them: 21+32=53

Help me please if you will​

Answers

x=3+√23, 3−√23

Its the first one on the list.

DUM89 THIS QUESTION IS FOR YOU

Answers

Answer:

x+12 x-15 x-8 x-30 x+15

Step-by-step explanation:

Answer:

Step-by-step explanation:

9. (x+12)(x-3)/(x-3)= x+12

10. (x-15)(x+3)/(x+3)= x - 15

11. (x-8)^2/(x-8)= x - 8

12. (x-30)(x+3)/(x+3)= x - 30

13. (x+15)(x-2)/(x-2)= x + 15

HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!

Answers

Answer: g/9

Step-by-step explanation: Cuz well it is what it is

PLS mark as brill

g divided by 9 would be option C, g/9.
the denominator expresses the sum that is being divided

What is the range of the data set?

Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
41
20
45
65

Will mark brainileste and there is supose to be a line in between this o in 39 miutes

Answers

Answer: the range is 45

Answer:

its 45 me no brainiest

Step-by-step explanation:

What is a rational number less than -1 with a 3-digit repeating number?

Answers

Answer:

Explanation below

Step-by-step explanation:

a rational number is a number can be expressed as the quotient or fraction x/y of two integers where y is not 0.

rational number less than -1 with a 3-digit repeating number: list a few

- 41/333 = - 0.123123123....

- 115/333 = -0.345345345....

I wish this is what you want!!

Can you plz help me this is hard

Answers

Answer:

b

Step-by-step explanation:

4 to -1 is 5 units

A tank was filled with 225L 156 ml of water
on the first day and 106 L 215ml of water on
the second day. 38 L 162ml of water used by
the family members. Find out how much
water is still left in the tank?

Answers

Answer:

There are 293 liters and 209 milliliters of water left in the tank.

Step-by-step explanation:

Since a tank was filled with 225L 156 ml of water on the first day and 106 L 215ml of water on the second day, and that 38 L 162ml of water were used by the family members, to find out how much

water is still left in the tank, the following calculation must be performed:

(225,156 + 106,215) - 38,162 = X

331,371 - 38,162 = X

293.209 = X

Thus, there are 293 liters and 209 milliliters of water left in the tank.

Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties
water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water.
Three minutes later, the tank contains 5 gallons of water.
Type your answers in the boxes below.
C. How many minutes before Jada arrived was the water tank completely full?

Answers

Answer:

3 minutes and 30 seconds

Step-by-step explanation:

7-5 = 2

3/2 = 1.5 gallons that empty per each minute

1.5 times 3 (minutes) = 4.5 gallons emptied

Remaining gallons to empty = 0.5

0.5 gallons to empty will take 30 seconds

I hope this helps :)

please help! i’m giving 20 points. THANK YOU!

Answers

Answer:

A. Distance KL = 7.36 m

B. Height ML = 4.25 m

C. The maximum height is 6.96 m

Step-by-step explanation:

A. Determination of distance KL

Hypothenus = KM = 8.5 m

Angle θ = 30°

Adjacent = KL =?

Cos θ = Adjacent / Hypothenus

Cos 30 = KL / 8.5

0.866 = KL / 8.5

Cross multiply

KL = 0.866 × 8.5

KL = 7.36 m

Thus, the distance is 7.36 m

B. Determination of height (ML)

Hypothenus = KM = 8.5 m

Angle θ = 30°

Opposite = ML =?

Sine θ = Opposite /Hypothenus

Sine 30 = ML /8.5

0.5 = ML / 8.5

Cross multiply

ML = 0.5 × 8.5

ML = 4.25 m

Thus, the height is 4.25 m

C. Determination of the maximum height.

Hypothenus = KM = 8.5 m

Angle θ = 55°

Opposite = ML =?

Sine θ = Opposite /Hypothenus

Sine 55 = ML /8.5

0.8192 = ML / 8.5

Cross multiply

ML = 0.8192 × 8.5

ML = 6.96 m

Thus, the maximum height is 6.96 m

The area of the triangle below is 8.91 square inches. What is the length of the base?

2.2 in is the height will mark BRAINLIEST!!!!!!

Answers

I think the answer is 19.602 hope this helps!

What is the solution to the inequality 7x + 2 < -3x + 1?
Ο Α. α
<
3
4
ОВ. І
>
Alco
1
2
<
10
O D.
2
>
10

Answers

Answer:

and DJ ssksb did did isbn dhe9susaew7s ene 8th box hcm box bro sb d

Step-by-step explanation:

ishdbd works zjsbdjs s nsie djsid

Help Me with this plzzz

Answers

21cm squared is the correct answer

Answer:

[tex] {21cm}^{2} [/tex]

Step-by-step explanation:

[tex]7 \times 3 = 21[/tex]

what is 5+5x85x900/37x1000-10

Answers

10337832.8378 :) .!.!.!

Answer:

what is 5+5x85x900/37x1000-10: the answer for 5+5x85x900/37x1000-10 is 10337832.8378

Step-by-step explanation:

3.5 ft
What is the area of the square
shown above?
[?] square feet
Enter

Answers

Answer:

area of square = l²=3.5²=12.25ft²

Answer:12.25

Step-by-step explanation:


if a height of a door is 1 foot more than twice its width what is the width of the door if it is 7 foot high what equation would you write ​

Answers

1. The width of the door is 3.
2. the equation is (7 - 1) divided by 2.

Write an expression equivalent to 3+ 5y-4-5

plz help oml​

Answers

Answer:

5y-6

Step-by-step explanation:

the mathematical statement below are all linear inequalities in two variables EXCEPT:
a.)3y<10-2y
b.)2x-y>6
c.)3x-5y_>15
d.)23_<3m-2n​

Answers

Answer: Option a: 3y < 10 - 2y

Step-by-step explanation:

A linear inequality is something that can be written as:

y > a*x + b

or

y < a*x + b

So we need to see which inequality of the given ones CAN'T be written in this way.

a) 3*y < 10 - 2*y

Here we can see that we have only one variable, so this can not be a linear inequality.

b) 2*x - y > 6

We can rewrite this as:

y < -6 + 2*x

Then this is a linear inequality.

c) 3x-5y ≥ 15

This can be rewritten as:

y  ≤ (3/5)*x - 15/5

Then this is a linear inequality.

d) 23 ≤ 3m - 2n

This can be rewritten as:

m ≥ (2/3)*b + 23/3

This is a linear inequality.

Then the option that is not a linear inequality in two variables is option a.

HELP?!????!?? For both of them number 6 &7

Answers

6. D

7. B

Hope it helps

1.
Learning Actlvities
We saw 18 big fish in a pond. Fifty percent of them were very colorful, there
are a colorful fishes.
The base in the problem is ______
2. Mr. Gonzales received the amount of 10 000 pesos after selling a computer
set cost 50,000 pesos for he has given a 20% commission
What is the rate in the problem?_____
3. In our class there 30 boys. o out of 30 are working students. It is 20% of the
total number of boys in our class.
The percentage in the problem is____

pa answer po pls


Answers

Answer:

1. 18 big fish

2. 20%

3. 0

hmmmm,

PLZ HELP ME ASAP PLS

Answers

Answer:

The answer is B no triangles can be made. for it to be a triangle two sides must be greater than the third side. is 14+6 greater that 5? Yes but 6+5 isn't greater than 14 so the answer would be no triangles can be made

This is answer is B.

No triangle can have 2 sides.
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