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The most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

The given expression is:

[tex](5y)^2(16y^4)^{\frac{1}{2}[/tex]

Expand the expression using the laws of indices

[tex]5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\[/tex]

[tex]25y^2 \times 4y^2[/tex]

Multiply like terms

[tex](25 \times 4)y^{2+2}[/tex]

The resulting expression is:

[tex]100y^4[/tex]

Therefore, the most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

Learn more on indices here: https://brainly.com/question/10339517

Answer:

X=((2q+5p)/3)^1/2

This is how x has to be subjected

Step-by-step explanation:

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Answer:

[tex]x[/tex] = √2q + 5p / 3

Step-by-step explanation:

3[tex]x^{2}[/tex] = 2q + 5p

[tex]x^{2}[/tex] = 2q + 5p / 3

[tex]x[/tex] = √2q + 5p / 3

Proportion of corresponding side is FH/JH  = HG/HK  = FG/JK.

Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.

Given triangles are similar ΔFGH ∼ ΔJKH

We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.

so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK

and proportion of corresponding side is  FH/JH  = HG/HK  = FG/JK.

Hence the proportion that relates the corresponding side are            FH/JH  = HG/HK  = FG/JK.

Learn more about congruent triangles;

https://brainly.com/question/22062407

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Explanation:

We replace 'a' with -3, and we replace x with 5. Then evaluate.

a - 2x

-3 - 2(5)

-3 - 10

-13

[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]

First of all, we should add 34 and 32:

34+32=66

Now, let's divide both sides by 9:

66÷9=7.3333...

[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]

[tex]\huge\bold{Good\:luck!}\\\huge\mathfrak{LoveLastsAllEternity}[/tex]

Answer:

C. 35

Step-by-step explanation:

First, let's put the first notebook.

1 2 3

1 2 4

1 2 5

1 2 6

1 2 7

We lose 1 step at each time.

1 3 2 is not ok because 1 2 3 is same as 1 3 2

5+4+3+2+1

Next, the other one.

4+3+2+1

3+2+1

2+1

1

5+4+3+2+1+4+3+2+1+3+2+1+2+1+1=35

35 different ways  

Answer:

A=6

Step-by-step explanation:

M=3A

M+6=2(A+6)     M+6=2A+12      M=2A+6

System of equations:

M=3A            Subtract

M=2A+6

0=A-6

A=6

Answer:

3 + 21 = 24 and they are the product to the factors of 63

Step-by-step explanation:

Answer:

Add up all the sides of the quadrilateral and the answer is the perimeter

Step-by-step explanation:

Answer:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

AnswerBABY BAYBY OOOOH

Step-by-step explanation:

Answer:

Step-by-step explanation:

Portf?

Answer:

There are no solutions.

Step-by-step explanation:

First simplify the equation.

6(x - 2) = 8 + 6x

Distribute.

6x - 12 = 8 + 6x

Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.

The required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

Given expression,

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We have to find the Equivalent fraction of  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We know that from the properties of logarithm, the following identities

[tex]log\ m^{n} =n\ log\ m[/tex] .....(1)

[tex]log\ \frac{m}{n} = log\ m- log\ n\\[/tex].......(2)

Now, [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5} \ \frac{x}{4}[/tex] ( using 1 identity)

Again using 2 identity, we get

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2[ log_{5}\ x-log_{5}\ 4 ][/tex]. (using 2 identity)

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex]

Hence the required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

For more details on logarithm follow the link:

https://brainly.com/question/163125

Answer:

C on edge

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It has to be angle angle angle because angle angle angle cannot be used to prove that any triangles are congruent

Answer:

D

Step-by-step explanation:

angle-angle-angle, isn't a clear way to proof that it's congruent, you can say, it's NEVER a way.

Answer:

[tex] \frac{r}{4} - 5[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

The expression till now

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]

But we need the expression for five less than the quotient

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]

Answer:

below!

Step-by-step explanation:

Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense

Answer:

5.125 < 5.14 < 5.15 < 5 2/9

Step-by-step explanation:

i changed 103/20 to a decimal to make it easier and just left 5 2/9 the same, hope this helps <3

Answer: 8v+24

Step-by-step explanation:

[tex]4(2v+6)=4(2v)+4(6)=8v+24[/tex]

Answer:

cevap 27

Step-by-step explanation:

4²+(3×6)-7

16+18-7

34-7

27

bu şekilde işlem sırası yanlış yazdıysam özürdilerim ama her türlü cevap 27 çıkıyor

Answer:

is this a questions or no?

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we need to find 20% of their bill-$40.

So we write a proportion with fractions.

20/100 = x/40

Then we cross multiply. So 40 and 20 will get multiplied, and 100 and x will get multiplied. We will get this:

800 = 100x

Divide both sides by 100 to solve this.

Then we will get:

$8 = x  or  x = $8

Now that we know 20% of the bill this will also represent the tip. Our tip is $8.

Answer:

13 cm

Step-by-step explanation:

The scale of the drawing was 1 centimeter : 4 meters.

x cm : 52 m   Divide by 4

13 cm : 52 m

Answer:

1800 stanley steamer

Step-by-step explanation:

If I am correct, it is 36 because its b x h x l x 1/2

Answer:

When reflected across the y-axis the point would be at (9,0)