Select the correct answer. What is[tex]\sqrt{192}[/tex] in simplest form? A.32√3 B.3√8 C.8√3 D. 2√48

Answers

Answer 1

Answer:

C. 8√3

Step-by-step explanation:

Please mark me as brainlest!

Thanks!

Answer 2

48√2 in the simplest form of the expression √192.

Option D is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the √192 by factoring it into its prime factors:

192 = 2 × 2 × 2 × 2 × 2 × 3 × 3

Then, we can group the prime factors into pairs of two:

192 = (2 × 2) × (2 × 2) × (2 × 3) × 3

Simplifying each pair of factors under the square root gives:

[tex]\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}[/tex]

Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:

[tex]16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}[/tex]

Therefore,

48√2 in the simplest form of the expression √192.

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Related Questions

help how do yall find this easy i cannot-

Answers

Answer:

153/50 or 3.06

Step-by-step explanation:

Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.

Ex. (3/2)*(4/3)

"The output is 5 less than twice the input

Answers

Answer:

x=2x-5

Im pretty sure that's it

Estimate 5,860÷2.1≈
i really need help on it.

Answers

Answer: it 2790

Step-by-step explanation:

The value of 5,860÷2.1 is 2790.

What is division?

In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.

What are the terminologies used in the division?

dividend, divisor, quotient remainder.

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Need help please!!!!!

Answers

Answer:

0 or 5/12

Step-by-step explanation:

with everything subtracted its 0 but with only subtracting 1/6 its 5/12

An item had an original price of $5.00. It had a percent markup of 45%. What was the value of the markup?

Answers

Answer:

markup price = $2.25

Step-by-step explanation:

markup = 45% of $5

markup = 45/100 x 5

markup = $2.25

selling price = $5 + $2.25

selling price = $ 7.25

Answer:

$2.25

Step-by-step explanation:

edgems 2020-2021

In Colorado, there is a sales tax. If the price tag on the item was $12.55 and the total price you paid at the register was $13.05 what is the percent of sales tax paid? Round to the nearest whole percent.

Answers

The awnser would be 20%!!!

aaaaaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhh help

Answers

Multiply both sides and you should get X= 27

Answer:

x = 27

STEP BY STEP:

3 = x/9

3 = x/3 x 2

9 x 3 = x

27 = x

x = 27

Hope this helped! Have a good day!

What’s the measure of STX?

Answers

Answer: 113

Step-by-step explanation:

47+66=x

113=x

What rule would you use to translate a triangle 4 units to the right?

Answers

Answer:

here is what i found also you could of looked it up

Step-by-step explanation:

(x,y)→(x+4,y)

what is 37 1/4 x 24 Please help!! im doing it for math!

Answers

Answer: 894

Step-by-step explanation:

how many does this have

Answers

However many dots there is those are solutions I counted 4.
I think 5 then. I also counted 4 (from the dots that connect at the same intersection)

Plz help me out I’m so confused

Answers

Answer:

b

Step-by-step explanation:

Answer:

The correct answer would be the second option y-2=1/3(x-3)

HELP ME ASAP PLEASE!!!!!

Answers

Answer:

88

Step-by-step explanation:

46= x° ( isosceles angles )

Now, taking all side of the triangle

46+46+y =180 ( sum of all side of triangle )

or, y= 180 -92

y = 88°

ANSWER

y = 88

EXPLANATION: in an isosceles triangle the two base angles are equal so x is 46. If you add 46 + 46 you get 92 subtract 180 by 92 and you get 88. Which is y the vertex angle

(umm can anyone help me please) I’ll give brainlist <3

Answers

Answer:

12

Step-by-step explanation:

8 times 1.5

One ninth of the students in Mr. Beck’s class list red as their favorite color. Twice as many students call blue their favorite, and three times as many students prefer pink. The rest name green as their favorite color. If 6 students call blue their favorite color, how many students are in Mr. Beck’s class?

Answers

Answer:

27

Step-by-step explanation:

this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right

A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much steel will the company need to make 243 rods? Use 3.14 for pie, and round your answer to one decimal

Answers

Answer:

213,645.6cm³

Step-by-step explanation:

Area of a cylinder is expressed as;

V = πr²h

r is the radius = 2cm

h is the height = 70cm

Get the volume of one rod;

V = πr²h

V = (3.14)(2)²(70)

V = (3.14)(4)(70)

V = 879.2cm³

one steel = 879.2cm³

243 rods = x

Cross multiply;

x = 879.2 * 243

x = 213,645.6

The company will need 213,645.6cm³ volume of steel to make 243 rods

which expression is equivalent to the given expression? 3x^2+5x-7(x^2+4)​

Answers

Answer:

-(4 x^2 - 5 x + 28)

-4 x^2 + 5 x - 28

-1\/16 (8 x - 5)^2 - 423\/16

Step-by-step explanation:

any of these equations are equal to  3x^2+5x-7(x^2+4)​

The equivalent expression is -4 x² + 5 x - 28.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

3x²+5x-7(x²+4)​

Now,

-(4 x² - 5 x + 28)

-4 x² + 5 x - 28

-1\/16 (8 x - 5)² - 423\/16

Hence, the  equivalent expression is -4 x² + 5 x - 28.

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Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S

Answers

Answer:

The slope of the given line is -4

Step-by-step explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In the given figure

∵ The line passes through the points (-6, 5) and (-4, -3)

x1 = -6 and y1 = 5

x2 = -4 and y2 = -3

→ Substitute them in the formula of the slope above

∵ m = [tex]\frac{-3-5}{-4--6}[/tex]

∴ m = [tex]\frac{-8}{-4+6}[/tex]

∴ m = [tex]\frac{-8}{2}[/tex]

∴ m = -4

The slope of the given line is -4

If f(x) = 3х + 10, find f(4)
A
f(4) = 17
f(4) = 22
с
22
f(4) = 17

Answers

the second one is the answer: f(4) = 22

i need serious help cause i didnt pay attention at all in class

Answers

Answer:-3<y<2

The answer should be D

NEED ASAP Triangle XYZ is similar to triangle PDQ. The measures of the angles in triangle XYZ are shown in the table. What is the measure of angle D?

Answers

Answer:

measure angle D = 62

Step-by-step explanation:

as the sum  of measures of triangle =180

then (8x-40)+(4x-10)+(3x+20)=180

15x-30=180

x=(180+30)/15=14

XYZ SIMILAR TO PDQ

Y=D=3*14+20=62

can someone please help me with this whole page asap !!!

Answers

what answers do u need

Please help me I need the answer for this question. correct one please

Answers

the total angle = 180 degree

thus ,

x + 50 degree + 55 degree = 180 degree

x = 75 degree
Yea that’s right x=75 degrees

If f(x) = 3x + 2, what is f(5)?

Answers

Answer:

f(5)=3(5)+2 = 17

Step-by-step explanation:

16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories?

Answers

Answer:

you can set up a proportion

16.0/130  = x/2150

by cross multiplying you get

130x = 34400

divide by 130 and get

x-264.62

The answer is 16.5834 calories
Hope this helps good luckkkk :)

At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?

Answers

Answer: Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Step-by-step explanation:

Let x = price of the Novel.

Price of Math Textbook = 8+3x

As per given , we have

Price of Math Textbook + Price of the Novel = $54

⇒ 8+3x+x = 54

⇒ 8+4x=54

⇒ 4x = 46     [subtract 8 from both sides]

⇒ x = 11.5

Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5

Hence, Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Given the function
f(x)=-1/2(1-x)^2,
find f(-5).

Answers

Answer:

f(x)= -1/2(1-x)^2

replacing x with -5 since -5 was given as the function

f(-5)=-1/2(1-5)^2

according to bodmas we solve what is in the bracket first

f(-5)=-1/2(-4)^2

f(-5)=-1/2(16)

-1/2*16/1

-16/2=-8

What are the coordinates of the x-
intercept of the line in the graph
shown below?

Answers

The correct answer is D. (1,0)

The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.

What price did Arianna pay for the ski jacket?

Answers

$143
add the two discounts of 25 and 10 percent. then your item will be 65% of the price now.

USAA is offering a retirement account that is compounded monthly. This account earns 1% interest. His money can remain there for 20 years. He can withdraw it at any time without a penalty. (exponential function equation)

Answers

Answer:

what are we supposed to answer???

Step-by-step explanation:

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