simplify.
remove all perfect squares from inside the square roots. assume x and y are positive.
√8x^3y^2

Answers

Answer 1

Answer:

[tex]2xy\sqrt{2x}[/tex]

Step-by-step explanation:

Because this is a whole term in itself (no addition or subtraction), you can just directly find squares and factor them out. First, when looking at 8, you can factor out 4, to get 2 on the outside. Then, while looking at x cubed, you can factor out x squared, to get x on the outside, and when looking at y squared, you can just pull that outside itself, to get y. Now, we have one 2 and one x remaining, for a total of [tex]2xy\sqrt{2x}[/tex]


Related Questions

what is the slope of this line

Answers

The slope is -4/3

This is because from the first dot to the second it is going down (negative) four the to the right (positive) three.

The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.57. What is the probability that it will rain on at least four of the
seven days they are there? Round your answer to the nearest thousandth.

Answers

Answer:

  0.650

Step-by-step explanation:

The probability of rain on 4 or more days is the sum of the probabilities of rain on 4, 5, 6, and 7 of the days.

The probability of rain on 4 days is ...

  7C4×(0.57)^4×(1 -0.57)^(7-4) ≈ 0.29375

On 5 days, it is ...

  7C5×(0.57^5)(0.43^2) ≈ 0.23363

On 6 days, it is ...

  7C6×(0.57^6)(0.43^1) ≈ 0.10323

And on all 7 days, it is ...

  0.57^7 ≈ 0.01955

The sum of these probabilities is ...

  P(≥4) = 0.29375 +0.23363 +0.10323 +0.01955 = 0.65016

The probability of rain on 4 or more days is about 0.650.

help me with math!!!!

Answers

Answer:

5+4 < 10+2

Step-by-step explanation:

5+4=9

10+2=12

kyle has an indoor basketball court. the rectangular court has a perimeter of 200 feet. the length of the court is 12 feet less than three times the perimeter. write an equation to determine the dimensions of the court.

Answers

Answer:

200 x 3 - 12=588

what fraction is this shape is shaded

Answers

5/10, which simplifies to 1/2. So the answer is 1/2! :)

help help help help help

Answers

Answer:

2

Step-by-step explanation:

A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1 ft below its average water level of 10 ft. It begins to rise by a constant rate of 1.5 ft per hour.

Will the river reach a level of 7 ft above normal after 5 hours? Explain.

Answers

The river will not reach a level of 7 ft. after 5 hours.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the water level after x hours.

Since the  river is 1 ft below its average water level and  begins to rise by a constant rate of 1.5 ft per hour. Hence:

b = -1, m = 1.5. The equation becomes:

y = 1.5x - 1

To reach a level of 7 ft. That is y = 7:

7 = 1.5x - 1

1.5x = 8

x = 5.3 hours

The river will not reach a level of 7 ft. after 5 hours.

Find out more at: https://brainly.com/question/13911928

Answer:

6.5, will not

Step-by-step explanation:

The water level is 6.5 ft above normal after 5​ hours, so it

will not reach a level of 7 ft above normal after 5 hours.

By what factor would your weight be multiplied if earth's diameter were 1/ 4 as big and earth's mass remained unchanged?.

Answers

Answer:

  16

Step-by-step explanation:

Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...

  1/(1/4)² = 16

You would weigh 16 times as much.

_____

Additional comment

The distribution of mass within the earth also affects your weight.


Erin finds 5% sales tax for a shirt that costs $21. She calculates the tax as
0.05 * 21 = 1.05 or $1.05.
Erin notices that she can add 21 + 1.05 = 22.05 to find the total cost, $22.05.
She uses the Distributive Property to write (1 * 21) + (0.05 * 21) = 1.05 * 21.
For each item, write the total cost of
the item as the product of two
numbers.
Tax
1.05 x 21
a.
b.
c.
d.
Item Name Price Tax Rate
shirt
$21.00 5%
bicycle $45.90 7%
shoes
$67.50 6%
laptop $299.99 8%
$39.95 4%
Credit Debit Subtotal
Check Cash
Tax
Order total
Print Receipt Cash
video game
$474.34

Answers

Answer:  

Step-by-step explanation:

a.  Bicycle  (1.07 x 45.90)

b.  Shoes  (1.06 x 67.50)

c.  Laptop  (1.08 x 299.99)

d.  Video Game (1.04 x 39.95)

16.093 x 10 to the third power





HELP ME PLEASE GOD

Answers

Answer:

16093

Step-by-step explanation:

I hope this helps!

Answer:

Your answer is 6,960,212.797357.

End of Answer

Step-by-step explanation:

(19.093 * 10)^3 OR

19.093 * 10 = 190.93

190.93^3 = 6,960,212.797357

End of Step-by-step explanation

Edit: I'm probably wrong this is the actual answer: 16093

A tank full of water is leaking at a constant rate for 30 minutes. The equation
y = -8x + 400
gives the amount of water in the tank, where y is the number of liters and x is
the number of minutes since the tank began to leak. Which statement is true?
A. There were 400 liters in the tank after 30 minutes, and it is
decreasing by 8 liters per minute.
B. There were 8 liters in the tank when the leak started, and it is
decreasing by 400 liters per minute.
C. There were 8 liters in the tank when the leak started, and it is
increasing by 400 liters per minute.
D. There were 400 liters in the tank when the leak started, and it is
decreasing by 8 liters per minute.

Answers

Answer:

A

Step-by-step explanation:

did the quiz

Answer:

D

Step-by-step explanation:

Molly drew a map of her town. She graphed the point L(−1.75, −3) for the library. The ice cream shop is located at L′, a reflection of L across the x-axis. The fire station is located at L′′, a reflection of L′ across the y-axis. Identify the ordered pair that describes the location of the fire station. Express your answer using decimal notation.

(__,__)

Answers

Answer:

(1.75, 3)

Step-by-step explanation:

Let's find L' first: We are reflecting L over the x axis, it means it stays on the same vertical (x=-1.75) and it's y changes sign, going to (-1,75,3).

This new point gets reflected again, over the y-axis. The horizontal coordinate (y=3) remains the same, and  the x coordinate changes sign, going to it's final destination (1,75, 3)

ANSWER:
(1.75, 3)

First, we have to flip (-1.75,-3) over the x-axis, which’ll leave us with (-1.75,3). Then we flip that point over the y-axis, which gives us (1.75, 3).
Just incase you have trouble doing reflections here’s the rules:

reflections over the x axis: (x,y)—>(x,-y)
reflections over the y-axis: (x,y)—>(-x,y)
reflections across y=x: (x,y)—>(y,x)
reflections across y=-x: (x,y)—>(-y,-x)

Multi-Step:
Leigh wants to buy a bike for $429 and a helmet for
$38. If she saves $8 a week, about how many weeks will it take her
to save the money to buy the bike and helmet?
330

Answers

Answer:

roughly 58

Step-by-step explanation:

the price of the bike added to the price of the helmet is 467 dollars, and you divide it by the 8 dollars a week to get roughly 59 weeks, which it should all look like this:

429+38=467

467÷8=58.375 (round up)

Answer:

about 59 weeks

Step-by-step explanation:

I NEED HELP ON 2 PLEASEEEEEEEEE

Answers

Answer:

294

Step-by-step explanation:

Scale factor is 3.5 (If you go from the smaller image to the bigger image).

7 x 3.5 = 24.5 feet

since the question is asking you for the answer in inches you have to multiply 24.5 by 12 which gives you 294

1 2 3 4 01 6 7 8 00 9 A laptop has a listed price of $590.99 before tax. If the sales tax rate is 6.25%, find the total cost of the laptop with sales tax included Round your answer to the nearest cent, as necessary. ​

Answers

Answer: $627.93

Step-by-step explanation:

If tax is 6.25%

6.25% of $590.99= $36.94

Price + tax = total cost

Total cost = $590.99 + $36.94 = $627.93

Help me please!! This is timed and I’m stuck

Answers

Let's solve

[tex]\\ \sf\longmapsto 2x^2+7x-15=0[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{7^2-4(2)(-15)}}{2(2)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{169}}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm13}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7+13}{4}\:or \:\dfrac{-7-13}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{6}{4}\:or\:\dfrac{-20}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{3}{2}\:or -5[/tex]

Subtract

[tex]\\ \sf\longmapsto 3/2-(-5)=3/2+5=13/2[/tex]

Option B

Answer:

Option (B.)

Step-by-step explanation:

Answer in the picture.hu

Which of the following is a perfect square trinomial?
A. x²-6x+9
B. 4x²-20x-25
C. 4x²+20xy+9y2
D. 9a²-6a²bc+a²b²c²​

Answers

Make an educated guess, as A would be a great guess. Lol

Find the percentage change of the first quantity with reference to the second quantity: 72 units, 60 units.

Answers

Answer:

Step-by-step explanation:

120 percent,

because if you divide by 6, you will get 10:12 and if you make the 10 a 100, you multiply both by 10, so 12 x 10 = 120 which means it is 20 percent because you have to subtract 100 from the quantity. so it is 20 percent

*Or 120 percent, I dont know though*

I need help asap look at last question

Answers

Answer:what’s the question

Step-by-step explanation:

Answer:

i answer your question correctly, please mark it as brainliest and thank you.

Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?

Answers

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

Evaluate 62 - (12 – 2) when I = 3.
-
O A. 4
O B. O
O C. 3
O D. 12
Pls help guys !

Answers

Answer:

A. 4

Step-by-step explanation:

12 - 3 is 9

6^2 is 36

36/9 is 4

It’s 4 just trust me

Find the X- and Y-intercepts of the given equation: 3x + 5y = 15

Answers

Answer:

Using the slope-intercept form, the y-intercept is 3 Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).

Does the table below represent a direct variation? Explain how you can tell.
x y
-2 -10
-1 -8
0 -6
1 -4

Answers

Yes because it has an unbroken pattern/slope of (1,2)

7
During spring training, the Detroit Tigers won about 2/3 of the games they played while the
Cleveland Indians won 7/15
of the games they played. What fraction more of the games did
Detroit win than Cleveland?


please answer my question and dont give me a link

Answers

Answer:

3/15 or 0.2

Step-by-step explanation:

You would need to subtract as it is asking for amount MORE won.

2/3 - 7/15

Make the denominator the same in order to subtract.

= 10/15 - 7/15

Subtract.

= 3/15

What a person puts into their relationship is proportional to what they feel they receive; this balance is called

Answers

Answer:

Equity

Step-by-step explanation:

A person puts into their relationship is proportional to what they feel they receive; this balance is called equity.

What is the relationship?

The happiest, most enduring relationships are between best friends, They relish each other's company, trust on one another for love and attention, devote their free time apart, and have a lot of similarities.

A situation when people's benefits from relationships are inversely correlated with their contributions. These consequences don't necessarily have to be equal.

A person who is firmly attached has a strong feeling of merit and anticipates that most others will be receptive and sympathetic.

Because it fosters familiarity—which increases attraction—proximity counts in the attraction process. The probability that we will become interested to someone simply increases when we are in their presence or are exposed to them frequently.

Learn more about relationships, here:

https://brainly.com/question/14309670

#SPJ2

What is a Jump Discontinuity?


brainliest is on the line and up for grabs

Answers

Answer:

Jump discontinuity is when the two-sided limit doesn't exist because the one-sided limits aren't equal. Asymptotic/infinite discontinuity is when the two-sided limit doesn't exist because it's unbounded.

Image result for What is a Jump Discontinuity?Jump Discontinuity is a classification of discontinuities in which the function jumps, or steps, from one point to another along the curve of the function, often splitting the curve into two separate sections. While continuous functions are often used within mathematics, not al functions are continuous

Step-by-step explanation:

hope this helps

can i have brainliest please

help me pleassseeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

it  is aas triangle

ΔPQR, P = 11, Q =9, and R = 8, so my question is (What are the angles from each side) m∠P=
m∠Q=
m∠R=
I know I need to use the LAW OF SINES and LAW OF COSINES. I know I need a law of cosines but I don't know how to put the numbers in right place.

Answers

Well…… I’m not sure. Sorry bud

Maths!! im a bit confused lol

Answers

Answer:

336

Step-by-step explanation:

12×1×4×7=336

not sure just a try

Complete the missing factors

6a^2 + 11b - 35b^2 = ( 3a _______)(2a______)

please help me, thank you.​

Answers

(3a-5b)•(2a+7b)
That’s the answer
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