Which expression is equivalent to? Please help! Screenshots attached.

Which Expression Is Equivalent To? Please Help! Screenshots Attached.

Answers

Answer 1

Answer:

[tex]\frac{\sqrt{5} }{x^{2} y}[/tex]

Step-by-step explanation:

That's a complex expression, let's simplify it, step by step, off the start, we'll simplify the 55/11:

[tex]\sqrt{ \frac{55 x^{7} y^{6} }{11 x^{11} y^{8} } } = \sqrt{ \frac{5 x^{7} y^{6} }{x^{11} y^{8} } }[/tex]

Then we'll simplify the x's and y's:

[tex]\sqrt{ \frac{5 x^{7} y^{6} }{x^{11} y^{8} } } = \sqrt{ \frac{5}{x^{4} y^{2} } }[/tex]

Let's split the square root in two and solve the bottom part:

[tex]\sqrt{ \frac{5}{x^{4} y^{2} } } = \frac{\sqrt{5} }{\sqrt{x^{4} y^{2}} } = \frac{\sqrt{5} }{x^{2} y}[/tex]

The solution is then:

[tex]\frac{\sqrt{5} }{x^{2} y}[/tex]

Answer 2
Answer:

The expression which is equivalent to the given expression is:

          [tex]\dfrac{\sqrt{5}}{x^2y}[/tex]

Step-by-step explanation:

We are given a expression as:

     [tex]\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}[/tex]

Now we know that:

[tex]55=11\times 5[/tex]

Hence, we get:

 [tex]\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{11\times 5x^7y^6}{11x^{11}y^8}[/tex]

which is written as:

[tex]\sqrt{\dfrac{5x^7y^6}{x^{11}y^8}}[/tex]

Also, we know that if n>m

Then

[tex]\dfrac{a^m}{a^n}=\dfrac{1}{a^{n-m}}[/tex]

Hence, we have the expression as:

[tex]=\sqrt{\dfrac{5}{x^{11-7}y^{8-6}}}\\\\\\=\sqrt{\dfrac{5}{x^4y^2}[/tex]

This could be given as:

[tex]=\dfrac{\sqrt{5}}{\sqrt{x^4}\sqrt{y^2}}[/tex]

Now, we know that:

[tex]\sqrt{x^4}=\sqrt{(x^2)^2}=x^2\\\\and\\\\\sqrt{y^2}=y[/tex]

Hence, we get that:

[tex]\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt{5}}{x^2y}[/tex]


Related Questions

Please help ASAP!!!!!

Answers

Answer:

2.02

Step-by-step explanation:

2.02

Find the dot product between the vectors u and v: u=2i+3j and v=-6i-5j

Answers

[tex]\bf \stackrel{\textit{dot product}}{<a,b>\cdot <c,d>}\implies (a\cdot c)+(b\cdot d) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} u=&2i+3j\\ v=&-6i-5j \end{cases}\implies \begin{cases} <2,3>\\ <-6,-5> \end{cases} \\\\\\ <2,3>\cdot <-6,-5>\implies (2\cdot -6)+(3\cdot -5)\implies -27[/tex]

Find the value of x in this figure.

Answers

Hello! :)

All angles in triangles must equal 180* degrees. So there is the 90 degrees at the meter Q and you add: 43+90=133* degrees. Remember, to make 180 so you do 180-133=47* degrees. I didn’t get any answer choices but if there are, choose the closest one to 47* degrees.

Hope this helped and I hope I answered in time!

Good luck!

~ Destiny ^_^

Answer:

The value of x = 47°

Step-by-step explanation:

From the figure we can see that a circle with center O.

PQ is a tangent to the circle fro point P.

m<P = 43°

Therefore <Q = 90°

To find the value of x

From the given triangle we can write,

x + m<Q + m<P = 180

x = 180 - (m<Q + m<P)

 = 180 - (90 + 43)

 = 180 - 133 = 47°

Therefore the value of x = 47°

maria has 30 sheets of green paper. she uses 3/5 of the sheets for a project. how many sheets of paper does maria use for the project.

Answers

Answer:18

Step-by-step explanation:

Answer:

i think the answer is 18

Step-by-step explanation:

the value of a $3000 computer decreases about 30% each year. write a function for the computers value V(t). Does the function represent growth or decay?

Answers

Answer:

Function represents decay.

[tex]V(t)=3000(0.70)^t[/tex]

Step-by-step explanation:

Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then determine if the function represent growth or decay.

It clearly says that value decreases so that means function represents decay.

For decay we use formula:

[tex]A=P(1-r)^t[/tex]

where P=initial value = $3000,

r= rate of decrease =30% = 0.30

t= number of years

A=V(t) = future value

so the required function is [tex]V(t)=3000(1-0.30)^t[/tex]

or [tex]V(t)=3000(0.70)^t[/tex]

Find the area of the blue triangle on the left side of this isosceles trapezoid. A) 16.25 in2 B) 32.5 in2 C) 45 in2 D) 65 in2

Answers

Answer:

(A. 16.25 in^2

The area of triangle with base of the triangle be 10 in and the height be 9 in, 45 in²

What is an area?

Area is the amount of space occupied by a two dimensional shape or object.

The area of triangle = (1/2) * base * height

Let the base of the triangle be 10 in and the height be 9 in, hence:

The area of triangle = (1/2) * 10 * 9 = 45 in²

Find out more on area at: https://brainly.com/question/25292087

Compute the volume of the right square pyramid shown.

A.147 cubic units

B.241 cubic units

C.441 cubic units

D.447 cubic units

Answers

Answer:

  A.  147 cubic units

Step-by-step explanation:

The area of the square base is ...

  B = (7 units)² = 49 units²

The volume is given by the formula ...

  V = (1/3)Bh = (1/3)(49 units²)(9 units) = 147 units³

Which correctly solves the inequality t+18<43 Select one: a. t<25 b. t>61 c. t>25 d. t<61

Answers

For this case we must solve the following inequality, finding the values for the variable "t":

[tex]t + 18 <43[/tex]

We subtract 18 from both sides of the inequality:

[tex]t + 18-18 <43-18\\t <25[/tex]

Thus, the variable "t" is defined for all strict lower values than 25.

Answer:

[tex]t <25[/tex]

Option A

Please help! I got 40 every time but there is no 40 on the multiple choice! :(

Answers

ok well i forget how to find the area of a trapezoid but you can solve it by breaking it down into a rectangle and two triangles

so for the rectangle multiply 7 by 4 to get 28

for the triangle you have to subtract 7 from ten to get 3 this is the length of the base. then you multiply 4 by 3 by 0.5 to get 6

now you have two triangles so multiply 6 by 2 to get 12

now add it all up to get 28+12=40

ummmmmmmmmmmmmmmm so this isn't an answer choice

i looked up the trapezoid formula and it is [tex]A=\frac{a+b}{2} h[/tex]

so if you fill in the blanks A=((7+10)/2)4

so A=(17/2)4

A=8.5*4

A=34

so the actual answer is 34 feet

but i see how you got 40

Straws are shipped into a box with dimensions of 6.0x6.0x8.0 inches. Each straw is 3/8 inches wide and 7 and 3/4 inches long. How many straws could be shipped into a box without squeezing any straws?

Answers

Answer:

256

Step-by-step explanation:

First, let's see the height of the box (8 inches) is long enough for one straw (7 inches and 3/4) but not enough for 2... so there could be only one layer.

Now the box is a prism with a square base (6 inches each side).

How many straws can we fit on one side?  We have to divide the width of the box by the width of a straw.  

[tex]row = \frac{6}{3/8} = \frac{48}{3} = 16[/tex]

We can fit 16 straw per 6-side side of the box... Since the box is 6x6 inches, we can then fit 16 x 16 straws in it... 256 total.

Answer:

256

Step-by-step explanation:

in a game of chance players spin the pointer of a spinner with eight equal sized sections what is the probability that the pointer will land in an odd number section​

Answers

Answer:

3/4

Step-by-step explanation:

Number of sections = 8

Number of sections with numbers that are odd = 6

P(odd number)

= 6/8

= 3/4

A class of 50 students in a P.E class has dressed up for class.38% of them have on white shirts. how many students have on white shirts?

Answers

The number of students with white shirts on is 19.

The answer is 19 because you do 50 times 38 and get 1900 and divide it by a 100 and get 19.

write the factors of the quadratic equation: x^2 -4x-21=0

Answers

Answer:

(x - 7)(x + 3) = 0

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (- 21) which sum to give the coefficient of the x- term (- 4)

The factors are - 7 and + 3, since

- 7 × 3 = - 21 and - 7 + 3 = - 4, thus

(x - 7)(x + 3) = 0 ← in factored form

Simplify the given expression. (4 + 2i) - (1 - 7i) (2 points)

Answers

The final answer is 3+9i

Answer:

3+9i

Step-by-step explanation:

The given expression is

(4 + 2i) - (1 - 7i)

Expand the parenthesis to obtain;

4 + 2i-1 + 7i

Group the imaginary parts and the real number parts separately to obtain;

4 -1+ 2i+ 7i

Combine the similar terms to get;

3+ 9i

what number do you add to complete the square

x^2+16x=3

Answers

Answer:

(x+8)^2 - 67

Step-by-step explanation:

1) Rearrange the quadratic into the standard format: ax^2 + bx + c

In this case you rearrange it to x^2 + 16x - 3

2) Write out the initial bracket: (x + b/2)^2    -    Just divide the value of b (which in this case is 16) by 2 (which in this case gives you 8)

3) Multiply out the brackets and compare to the original to find what you need to add or subtract to complete the square

In this case you do (x+8)^2 which gives you x^2 + 16x +64

You compare this to the original: x^2 + 16x - 3

4) Add or Subtract the adjusting number to make it match the original

In this case you need to subtract 67 from x^2 + 16x +64 (which is the same as (x+8)^2) in order to make it match the original x^2 + 16x - 3

64 - 67 = -3

help me with this question

Answers

Answer:

D. 1/6.

Step-by-step explanation:

1/6 = 0.1666...

These are all of the steps to completely get the correct answer to this question.

Hope this help!!!

Kyle.

I believe the answer is D

Chelsea buys 8 packs of markers. Each pack contains the same number of markers. Chelsea gives 10 markers to her brother. Then she has 54 markers left. How many markers were in each pack?

Answers

First, see how many she had in all(before she gave some to her brother):

54 + 10 = 64

Then, divide to get how many were in each package:

64/8 = 8

There were 8 markers in each package.

The area of a square is 64n^36 units. What is the side length of one side of the square? 8n^6 8n^18 64n^6 64n^18

Answers

Answer:

[tex]\large\boxed{8n^{18}}[/tex]

Step-by-step explanation:

The formula of an area of a square:

[tex]A=s^2[/tex]

s - side length

We have

[tex]A=64n^{36}[/tex]

Method 1:

Substitute:

[tex]s^2=64n^{36}[/tex]

[tex]s^2=8^2n^{18\cdot2}[/tex]            use [tex](a^n)^m=a^{nm}[/tex]

[tex]s^2=8^2(n^{18})^2[/tex]         use [tex](ab)^n=a^nb^n[/tex]

[tex]s^2=(8n^{18})^2\to s=8n^{18}[/tex]

Method 2:

Substitute:

[tex]s^2=64n^{36}\to s=\sqrt{64n^{36}}[/tex]   use [tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}[/tex]

[tex]s=\sqrt{64}\cdot\sqrt{n^{36}}[/tex]

[tex]s=8\sqrt{n^{(18)(2)}[/tex]     use [tex](a^n)^m=a^{nm}[/tex]

[tex]s=8\sqrt{(n^{18})^2}[/tex]      use [tex]\sqrt{a^2}=a[/tex] for [tex]a\geq0[/tex]

[tex]s=8n^{18}[/tex]

The area of a circle is given by A(r)=pie^2 and the radius in terms of the circumference is given by r(C)=C/2pie. Find A(r(C))

Answers

Answer:

[tex]\large\boxed{A(r(C))=\dfrac{C^2}{4\pi}}[/tex]

Step-by-step explanation:

[tex]A(r)=\pi r^2\\\\r(C)=\dfrac{C}{2\pi}\\\\A(r(C))\to\text{put}\ r=\dfrac{C}{2\pi}\ \text{to}\ A(r):\\\\A(r(C))=\pi\left(\dfrac{C}{2\pi}\right)^2\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\A(r(C))=\pi\cdot\dfrac{C^2}{2^2\pi^2}\qquad\text{cancel one}\ \pi\\\\A(r(C))=\dfrac{C^2}{4\pi}[/tex]

find x and y for a triangle with 60° and 30​

Answers

Answer:

90 degrees

Step-by-step explanation:

FIGURE IT OUT

x=15 and y=25.98 or 26

what’s the probability of a C or a Z

Answers

Answer:

Zero

Step-by-step explanation:

A letter C or Z is not in the word Bulldog.

Which expressions are equivalent?

3x + 5x and 8x
3(x + 4) and 3x + 12
a + b + a and 2a + b
18x + 2y and 15x + 3x + 2x
3a + 4a + 10 and 17a

Answers

The equivalent expressions are

3x + 5x and 8x

3(x + 4) and 3x + 12

a + b + a and 2a + b

What are equivalent expressions?

Equaivelnt expressions are expressions that the terms are equal. That is to say rearranging the terms will result to the term to be compared with it.

In this case the expressions are said to be equaivalent

Examining the expressions we can see that

3x + 5x = 8x

3(x + 4) = 3x + 12

a + b + a = 2a + b

Oliva can type 5/12 of a page in 15 minutes. If she types at the same rate how many pages will she have typed in one hour

Answers

Answer:

Olivia will have 1 2/3 pages typed in an hour.

Step-by-step explanation:

Olivia can type 5/12 of a page in 15 minutes. 15 minutes is a fourth of an hour, so to find out how many pages she will have written in an hour you can multiply 5/12 X 4. 5/12 X 4 equals 1 8/12, which can be simplified as 1 2/3.

Hope this helped you :)

Number 14 step by step pleasee

Answers

Answer:

C 3/14

Step-by-step explanation:

There are a total of 8 checkers

P (black) = black/total

               = 2/8 = 1/4

Then we keep the checker, so there are only 7 checkers in the bag, 6 red and 1 black

P ( red) = red/total

           = 6/7

P (black, red) = 1/4 * 6/7

                      = 6/28 = 3/14

Two sides of a right triangle measure 10 m and 8 m. Explain why this is not enough information to be sure of the length of the third side. Give two possible values for the length of the third side.

Answers

Two possible values for the length of the third side of a right angle triangle are 6 and [tex]\sqrt{164}[/tex].

What is right angle triangle?

" Right angle triangle is a triangle whose one of the interior angle is of 90°."

Formula used

Pythagoras theorem,

(Hypotenuse)² = (Opposite side)² + (adjacent side)²

According to the question,

Two sides of a right triangle measure 10 m and 8 m

Here it is not mentioned 10m and 8m representing which side , that's why this is not enough information to be sure of the length of the third side.

Two possibilities

If Hypotenuse = 10m

Length of one of the side of the right triangle  = 8m

Measure of other side  'x' equals to

[tex](10)^{2} = 8^{2} + x^{2}[/tex]

⇒[tex]x^{2} = 100 -64[/tex]

⇒[tex]x^{2} =36[/tex]

⇒[tex]x=6[/tex]

If Hypotenuse is not given then,

(Hypotenuse)² = [tex]10^{2} +8^{2}[/tex]

⇒(Hypotenuse)² = [tex]100 + 64[/tex]

Hypotenuse = [tex]\sqrt{164}[/tex]

Hence, two possible values for the length of the third side of a right angle triangle are 6 and [tex]\sqrt{164}[/tex].

Learn more about right angle triangle here

https://brainly.com/question/3770177

#SPJ2

Final answer:

Without knowing which of the two given sides is the hypotenuse in a right triangle, we cannot definitively calculate the length of the third side. It could be greater or less than 10.3 m depending on whether the 10 m side is the hypotenuse or one of the legs.

Explanation:

If two sides of a right triangle measure 10 m and 8 m, it is not enough information to be sure of the length of the third side. The reason is that without knowing which of the sides is the hypotenuse, or whether the given sides are the two legs or one leg and the hypotenuse, we cannot use the Pythagorean Theorem to find the exact length of the third side.

If the 10 m side is the hypotenuse, the other side (of length 8 m) would be a leg, and we could find the length of the remaining leg using the equation a² + b² = c², where c is the hypotenuse and a and b are the other two sides. Thus, the length of the third side would be less than 10.3 m.

However, if the side that measures 10 m is not the hypotenuse, then the remaining side would have to be longer than 10 m to satisfy the Pythagorean Theorem. The length of the third side would be greater than 10.3 m in this case.

Without additional information, we cannot commit to a single value for the third side and must acknowledge that both possibilities exist.

Malik buys and sells parts. he bought tires for $45

Answers

Please add more to the question.

How can I change whole number 4 into fraction?

Answers

Convert the whole number 4 into a fraction using 4 as the denominator:

4/1 × 4/4 = 16/4

Hope this helps :D

Answer:ignore sorry

Step-by-step explanation:

Solve for y. 3.2 = 2y. please answer thanks :)

Answers

Answer:

Simplifying

3.2 = 2y

Solving

3.2 = 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3.2 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0

3.2 + -2y = 0

Add '-3.2' to each side of the equation.

3.2 + -3.2 + -2y = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0

0.0 + -2y = 0 + -3.2

-2y = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2

-2y = -3.2

Divide each side by '-2'.

y = 1.6

Simplifying

y = 1.6

Step-by-step explanation:

find the common difference in the outputs to help find the missing outputs in the table

Answers

the commons difference is .8

the missing values are: 6.2 and 7

Is there a solution to |x| = -2

Answers

Answer:

There is no solution to the given problem [tex]|x|=-2[/tex].

Step-by-step explanation:

Given equation is [tex]|x|=-2[/tex].

Now we need to determine if there is solution to this equation or not.

We know that [tex]|x|[/tex] represents absolute value function.

By definition of absolute value function, we know  that output of [tex]|x|[/tex] must always be positive.

But in given equation [tex]|x|=-2[/tex], we have output -2 which is negative.

That is not possible.

Hence there is no solution to the given problem [tex]|x|=-2[/tex].

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