What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2

Answers

Answer 1

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


Related Questions

Solve for m.
√m-7 = n + 3

A. m = n 2 + 6n + 16
B. m = n 2 + 6n + 2
C. m = n 2 + 6n - 2

Answers

Answer:

A) m=n^2+6n+16

Step-by-step explanation:

sqrt(m-7)=n+3

m-7=(n+3)^2

m-7=(n+3)(n+3)

m-7=n^2+3n+3n+9

m-7=n^2+6n+9

m=n^2+6n+9+7

m=n^2+6n+16

PLEASE HELP FAST!!!
3
11
2
Which ordered pair is a solution to the system of linear equations 3 x- y- fo and x+By-to-
10?
O
12
o 5.3
21
o 35
21
3:5

Answers

Using the elimination method, multiply the first equation by 60 and the second one by 30 (least common denominators)

30x-45y=11...(1)
12x+5y=9...(12)

Multiply the second equation by 9, to eliminate y

30x-45y=11
+ 108x+45y=81
———————-
138x=92
x=92/138 (reduce fraction with 46)
x=2/3

Substitute x=2/3 into equation 2
12(2/3x)+5y=9
y=1/5

Therefore, the solution to the system is C. (2/3, 1,5)

Look at the question !

Answers

re take the photo please

Helppppppppppp meeeeeeee

Answers

Answer:

itll be number 2

Step-by-step explanation:

Answer:

8 I thing is correct so check well you will get the correct answer

Find y such that the slope between (2, y) and (5, -3) is 7.​

Answers

Answer:

y= -24

Step-by-step explanation:

since the slope is 7 the value of y should decrease as the value of x decreases. and since you went back 3 on the x, you should go down 21 on the y resulting in -3-21 which is -24

Auto replacement insurance covers the full cost of auto repairs or the cost of a new vehicle.

T or F

Answers

Answer: True

Step-by-step explanation:

Need help SOS l don’t understand

Answers

Answer:

−5<n≤2 I think, I don't really understand the question either I'm sorry!!!!

5(x-2)-3= 5x-13
help me plz​

Answers

X has infinity solutions.

Graph: y =
|x – 4| + 2

Answers

This is a photo of answer

Answer:

  see attached

Step-by-step explanation:

The constants in the function shift the absolute value graph right 4 units and up 2 units. The attachment shows the translated function.

SOCCER Four soccer players are practicing a drill. Goalie A is facing Player B
to receive the ball. Goalie Athen turns tº to face Player A to pass her the ball. If
Goalie B is facing Player A to receive the ball, then through what angle
measure should Goalie B turn to pass the ball to Player B?

Answers

Answer:

x

Step-by-step explanation:

In a parallelogram opposite angles are equal, so if Goalie A angle is x, also Goalie B's will be x

The angle measure for Goalie B turn to pass the ball to Player B is given by the parallelogram and the angle is B = x°

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , the measure of Goalie A = x°

And , for a parallelogram

Opposite angles are congruent

So , the angle of Goalie B = angle of Goalie A

Substituting the values in the equation , we get

The angle for Goalie B = x°

Therefore , the value of B = x°

Hence , the opposite angle of parallelogram is x°

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ2

find the value of x from the following figure​

Answers

Angle QSP and 110 are congruent because corresponding angles are congruent

Then subtract 180 to angle QSP to get angle QSR because a straight line is 180

180 - 110

= 70

Then add all the given angles to the triangle subtract it to 180 because the sum of angles of a triangle is 180

70 + 40 + x = 180

x = 180 - 110

x = 70
Hope this helps
Brainliest and a like is much appreciated!

Answer: 70°

Oki so...

The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°

Line PSR is a straight line and a straight line angle is 180°

So, 180-110=70° (angle QSR)

Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°

Simply, 180-(40+70)

This comes 70. So x is 70°


help with steps
questions on image​

Answers

Answer:

24

Step-by-step explanation:

all odd numbers possible: 1, 3, 5, 7

__ __ __ __

there are 4 possibilities for the first blank

for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used

for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used

for the last blank there is only 1 possibility

so the number of solutions possible is 4 x 3 x 2 x 1 = 24

The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 m, find its length and width.

Answers

Answer:

20m

Step-by-step explanation:

let the length be x and the width be y

x = 4y

2x + 2y = 50

2(4y) + 2y = 50 ( since x = 4y )

8y + 2y = 50

10y = 50

y = 5m

x = 4y

x = 4(5)

x = 20

pls mark me the brainliest

A farmer has 419 rows of corn. If he can get 573 ears of corn from each row, how many ears of corn would he have in total

Answers

Answer:

419x573=240,087 ears of corn

Step-by-step explanation:

please help meeeeeeeeeeee....

ty

Answers

Answer:

y = 1/26x - 2

Step-by-step explanation:

Subtract x both sides

-26y = 52 + (-x)

Divide by -26 both sides

y = -2 + 1/26x

y = 1/26x - 2

Find the indicated side of the
triangle.
10
459
a
b = [?]

Answers

Answer:

b=a

Step-by-step explanation:

Pythagorean Theorem:

b = 10/√2

(-5, 10) (-5, 9) What is the slope?

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-10)/(-5-(-5))

m=-1/(-5+5)

m=-1/0

undefined

Since the slope is undefined, this is a vertical line.

Answer:

undefined

Step-by-step explanation:

Ok, we will use the formula:

[tex]\frac{y^{2} -y^{1} }{x^{2} -x^{1} }[/tex]

The points (-5, 10) is our one, making -5 x1 and 10 y1

The points (-5, 9) is our two, making -5 x2 and 9 y2

now we add them into our formula

[tex]\frac{9-10}{-5-(-5)} = \frac{-1}{0}[/tex]         = undefined

Hope this helps. Check with someone else to make sure. <3

10(x-2)+(6x-6)
Linear equations

Answers

Answer:

that's my answer

Step-by-step explanation:

16/60

please comment if I'm wrong

The answer to you problem is 2(8x - 13)

OMG PLS HURRY IN TEST!!

Select the correct answer.

Which graph represents this system of inequalities?
y > x + 3
y ≤ 5x − 1

Answers

Answer:

A is the correct answer!

Good luck on your test!

Answer: a

Step-by-step explanation:

I have no clue

Question 7

Answers

Answer: 27[tex]a^{-6}b^{3}[/tex]

Step-by-step explanation:

you can isolate the separate terms so you get

3^3 x a^(-2x3) x b^3 = 27 a^-6b^3

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer: (2, -15)

Step-by-step explanation:

An art teacher divided her students into two groups of equal size.

25 of the first group prefers acrylic paint over watercolor paint.
60% of the second group prefers acrylic paint over watercolor paint.
What fraction of the students prefers watercolor paint over acrylic paint?

Answers

Answer:

67.5% or 68%

Step-by-step explanation:

Say each group has 100 students. 25% of 100, is 25 students.

25 students of group 1 prefers acrylic. That leaves 75 students that prefer watercolor.

60% of group 2, or 60 students, prefer water color. That leave 40 students that prefer acrylic.

25+40=65

60+75=135

That is true, since there are 200 students in total.

Now set up a ratio, with watercolor over acrylic.

135:65

135 is 67.5% of 200.

I really don't know if that is a choice, so maybe 68%?

-hope it helps

What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?

'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. The second rectangle is formed by ordered pairs A double prime at 2, negative 4, B double prime 1, negative 4, C double prime at 1, negative 1, D double prime at 2, negative 1.

A) Reflected over the x-axis and rotated 180°
B) Reflected over the y-axis and rotated 180°
C) Reflected over the x-axis and rotated 90° counterclockwise
D) Reflected over the y-axis and rotated 90° counterclockwise

Answers

Answer:

C) Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

Answer: Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

Took the test!

i need help with this problem, but i don't want someone to just give me the answer. i need it to be taught step-by-step to me because for some reason i can't understand how everyone tells me to do it. i need to learn this as I've been on this one test for the past 2 weeks. I've been trying to find a tutor or something that will actually help me the way i need to be helped. so please, just give me a simple answer that will help me with the 3 other questions after it.

the lesson name is called solving real world systems of equations via elimination.
here is the question:

jared bought 7 cans of paint. a can of red paint costs 3.75. a can of black paint costs 2.75. jared spent 22.25 in all. how many cans of black (b) and how many cans of red (r) did he buy?

r+b=7

3.75 + 2.75 = 22.25

this is a lesson in 8th grade math.​

Answers

Answer:

Hallo, I will help you with the problem T^T

Step-by-step explanation:

3.75r + 2.75b = 22.25

3.75r = The amount a red can costs, MULTIPLIED BY the amount of red cans they bought!

2.75b = The amount a black can costs, MULTIPLIED BY the amount of black cans they bought!

So this means that they bought:

3 cans of red paint.

And 4 cans of black paint.

Now you may be thinking, how do you know?

If you multiply the COST 3.75, by 3 cans of red paint, you get 11.25

And then if you multiply the COST of the black paint (The cost for a can of black paint is 2.75) multiply that by 4, you get 11 :0

So add 11 + 11.25 and you get 22.25 :]

Comment if you have any questions, no matter how insignificant you think they may be, I will help you :]

hellllllllllllllllllllppppppppppppppppppppp

Answers

Answer:

Y-intercept: (0, -10)

X-intercepts: (5,0), (1,0)

Axis of symmetry: (3,0)

Step-by-step explanation:

You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.

There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.

By factoring it, you get

-2(x-5)(x-1)=0

If one part of it equals zero, than the whole function equals zero.

So it can be split up like this

(x-5)=0

(x-1)=0

So...

x=5 and x=1 are the the zeros or (5,0) and (1,0)

Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.

HELP PLS !!! IM IN A TESTT!

Answers

1. c
2. d
3. a
4. b

Hope I got this to you in time!

Please help me π_π π_π

Lea worked for 3 hours 20 minutes and rested for 30 minutes. The she continued worked for 2 hours till 3.40 pm. What time did she start working? ​

Answers

Answer:

9.50 am

Step-by-step explanation:

3.40pm minus 2 hours = 1.40pm

1.40 minus 30 min = 1.10pm

1.10am minus 3 hours = 10.10am

10.10 am minus 20 min = 9.50 am

start at 9.50 .... works for3hrs and 20 min which ends at 1.10... 30min break which ends at 1.40...works for 2hrs that finally ends at 3.40pm

hope this helps☆☆☆

SOMEONE PLS GIVE ME THE ANSWER AND NO FREAKING LINKS.



Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.

Answers

Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

please I need help immediately ​

Answers

Answer:

Step-by-step explanation:

4x+6<= -54

4x <= -60

x <= -15    [The point -15 is included, so it must be a solid dot]

----------------

5x + 7 > -18

5x > -25

x > -5     [The point -5 is NOT included, so it should be an empty dot.]

Solution C seems the best.

x + 2y = 7
x - y = 1

Solve for x and y?​

Answers

Answer:

y=2

x=3

Step-by-step explanation:

make x - y = 1 into x= y + 1

put that wherever x is in the other equation

so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2

then substitute 2 into the y in the equation x - y = 1 and you get x = 3

METHOD OF ELIMINATION:

Given pair of linear equations are:

x+2y= 7 – – – Eqn(i)

On comparing with a1x+b1y+c1 = 0

a1 = 1, b1 = 2, c1 = -7

x-y = 1 – – – Eqn(ii)

On comparing with a2x+b2y+c2 = 0

a2 = 1, b2 = -1 , c2 = -1

a1/a2 = 1/1 = 1

b1/b2 = 2/-1 = -2

c1/c2 = -7/-1 = 7

We have,

a1/a2 ≠ b1/b2 ≠ c1/c2

So, Given pair of linear equations in two variables have a unique solution.

Now,

On Subtracting eqn(ii) from eqn(i) then

x+2y = 7

x-y = 1

(-)

_______

0 +3y = 6

_______

⇛ 3y = 6

⇛ y = 6/3

⇛ y = 2

On Substituting the value of y in (1) then

⇛ x-2 = 1

⇛ x = 1+2

⇛x = 3

Answer: Therefore , the value of x and y with be (3,2) respectively.

Additional comment:

If a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are pair of linear equations in two variables thenIf a₁/a₂ ≠b₁/b₂ ≠ c₁/c₂ then they are Consistent and independent lines or Intersecting lines and they have a unique solution.If a₁/a₂ = b₁/b₂ = c₁/c₂ then they are Consistent and dependent lines or Coincident lines and they have infinitely number of many solutions.If a₁/a₂ =b₁/b₂ ≠ c₁/c₂ then they are Inconsistent lines or Parallel lines lines and they have no solution.
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