What is the value of the expression shown below? 3 over 5 to the power of 2 + 4 × 3 − 2

Answer:

A

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{12}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

Thus

[tex]\sqrt{6}[/tex] + 2[tex]\sqrt{3}[/tex] + [tex]\sqrt{27}[/tex] - [tex]\sqrt{12}[/tex]

= [tex]\sqrt{6}[/tex] + 2[tex]\sqrt{3}[/tex] + 3[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex] ← collect like terms

= 3[tex]\sqrt{3}[/tex] + [tex]\sqrt{6}[/tex] → A

The equivalent to the given expression is √6 + 3√3.

Option A is the correct answer.

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.

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 given expression by combining like terms under the radicals:

√6 + 2√3 + √27 - √12

= √(23) + 2√3 + √(3³) - √(2²3)

= √2√3 + 2√3 + 3√3 - 2√3

= √2√3 + 3√3

= √(23) + 3√3

= √6 + 3√3

Therefore,

The equivalent to the given expression is √6 + 3√3.

Learn more about expressions here:

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▹ Answer

There are 8 chocolate chips in one pancake.

▹ Step-by-Step Explanation

The x is labeled as Number of Pancakes.

The y is labeled as Number of Chocolate Chips

Therefore, the 1 represents the pancakes and the 8 represents the amount of chocolate chips per pancake. This would be stated as:

There are 8 chocolate chips in one pancake.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

8 choloclate chips in 1 pancake

Step-by-step explanation:

So the x-axis represents the amount 8 of pancakes.

The y-axis represents the number of chocolate chips.

Therefore, the following point (1,8) represents 8 chocolate chips in 1 pancake.

-—————————————I do hope this helps!————————————————                                        

Answer:

The answer is 1/12

Step-by-step explanation:

Answer:

I think it's 60%

Step-by-step explanation:

There are total 10 sophomores, and 6 are male, so 6/10 are male, meaning there's a 60% chance.

I hope this helps you! Please give brainliest!

Answer:

g(2) = 5

g(-2) = 2

g(-3) = 0

g(5) = 1

g(x) = 0 when x = 3

g(x) = 6 when x = 0

Step-by-step explanation:

Your just finding the values of y when x is unknown or when y is unknown and your trying to find x. f(x) is just a fancy way of saying y.

Answer:

Step-by-step explanation:

Answer:

The total surface area of the pipe is 4123.31 cm²

Step-by-step explanation:

Total surface area (TSA) of a pipe is calculated as;

Outer area of the pipe + Inner area of the pipe + cross section of the two ends

TSA = 2πRL + 2πrL + 2π(R² - r²)

TSA = 2π(RL + rL + R² - r²)

where;

R is the outer radius

r is the inner radius

L is length of the pipe

Determine the length of the pipe

Outer surface area of the pipe is  calculated as;

outer surface of the pipe = 2πRL

2514.2  = 2πRL

2514.2 = (2π x 5) L

2514.2 = 31.42 L

L = 2514.2 / 31.42

L = 80.02 cm

Finally, determine the total surface area of the pipe

TSA = 2π(RL + rL + R² - r²)

TSA = 2π(5x80.02 + 3x80.02 + 5² - 3²)

TSA =  2π(400.1 + 240.06 + 16)

TSA =  2π(656.16)

TSA = 4123.31 cm²

Therefore, the total surface area of the pipe is 4123.31 cm²

Answer:

6 hours and 45 minutes

Step-by-step explanation:

if you divide 3 hours by four songs you deduce that it take 45 minutes to record one song.

8 is double 4 so it will take 3more hours plus the 45 minutes for the ninth song.

3+3+.45= 6.45

Answer:

Brainliest please

Step-by-step explanation:

perimeter is to add all sides

73m= 16+B+C

{ use algebra}

C is a, B is twice C, hence 2a

a+2a(+16)=73

3a=73-16= 57

3a=57, divide

a= 19

B=19×2= 38m

C=19m

C is 19m

Answer:

C = 19 m

Step-by-step explanation:

Side B is twice the length of Side C.

B = 2C -----------(I)

Perimeter = 73 m

A + B + C = 73

A + 2C + C = 73  {from (I)}

16 + 3C = 73

3C = 73 - 16

3C = 57

C = 57/3

C = 19 m

Answer:

last option.

Step-by-step explanation:

See attached.

I'm not sure why you crossed out the last option, but it seems to be correct.

Answer:

[tex] \boxed{\sf \frac{3x - 11}{ {x}^{2} + 2x - 3}} [/tex]

Step-by-step explanation:

[tex] \sf \implies \frac{5}{x + 3} - \frac{2}{x - 1} \\ \\ \sf Put \: each \: term \: in \: \frac{5}{x + 3} - \frac{2}{x - 1} \: over \: the \: common \\ \sf denominator \:(x + 3)(x - 1) : \\ \sf \implies \frac{5(x - 1)}{(x - 1)(x + 3)} - \frac{2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf \frac{5(x - 1)}{(x - 1)(x + 3)} - \frac{2(x + 3)}{(x - 1)(x + 3)} = \frac{5(x - 1) - 2(x + 3)}{(x - 1)(x + 3)} : \\ \sf \implies \frac{5(x - 1) - 2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf 5(x - 1) = 5x - 5 : \\ \sf \implies \frac{ \boxed{ \sf 5x - 5} - 2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf - 2(x + 3) = - 2x - 6 : \\ \sf \implies \frac{5x - 5 + \boxed{ \sf - 2x - 6}}{(x - 1)(x + 3)} \\ \\ \sf Grouping \: like \: terms, \: 5x - 5 - 2x - 6 = \\ \sf (5x - 2x) + ( - 5 - 6) : \\ \sf \implies \frac{ \boxed{ \sf (5x - 2x) + ( - 5 - 6)}}{(x - 1)(x + 3)} \\ \\ \sf 5x - 2x = 3x : \\ \sf \implies \frac{ \boxed{ \sf 3x} + ( - 5 - 6)}{(x - 1)(x + 3)} \\ \\ \sf - 5 - 6 = - 11 : \\ \sf \implies \frac{3x + \boxed{ - 11}}{(x - 1)(x + 3)} [/tex]

[tex]\sf (x - 1)(x + 3) = x(x + 3) - 1(x + 3) : \\ \sf \implies \frac{3x - 11}{ \boxed{ \sf x(x + 3) - 1(x + 3)}} \\ \\ \sf x(x + 3) = {x}^{2} + 3x : \\ \sf \implies \frac{3x - 11}{ \boxed{ \sf {x}^{2} + 3x} - 1(x + 3)} \\ \\ \sf - 1(x + 3) = - x - 3 \\ \sf \implies \frac{3x - 11}{ {x}^{2} + 3x + \boxed{ \sf - x - 3} } \\ \\ \sf 3x - x = 2x : \\ \sf \implies \frac{3x - 11}{ {x}^{2} + 2x - 3} [/tex]

Answer:

8/4

Step-by-step explanation:

2/1

We want a denominator of 4 so multiply by 4/4

2/1 * 4/4 = 8/4

Step-by-step explanation:

If g=3.5 what about 12g

12g×3.5=42

8_42_51=_85

Answer:

11.25% off i think

Step-by-step explanation:

Answer:

It is unidetified!!

Step-by-step explanation:

Answer:

y ÷ 7

Step-by-step explanation:

Quotient is code for divide.

We don't want to subtract so the first option isn't correct

We don't want to add so the second one isn't correct

We don't want to multiply so the third one isn't correct

This leaves us with our last option which is correct.

Answer: y=235x+15

Step-by-step explanation:

Plug in 4 for x

Y= 235(4)+15

Y= 955

Answer:

[tex]g(x) = \frac14x^2[/tex]

Step-by-step explanation:

Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.

To find it, we use the given point of g, (2,1)

So g(2) = 1

meaning that

a·2² = 1

4a = 1

a = 1/4

Answer:

$6524.90

Step-by-step explanation:

Given that 25% = 1631.24, then the selling price is 100%.

To find 100%, we multitask the value of 25% by 4.

So, the SP(Selling Price) = $1631.24 x 4 = $6254.90.

Hope this helps

Answer:

6524.96 dollars.

Step-by-step explanation:

Let x be the selling price then:

0.25x = 1631.24

x = 1631.24 * 4

= 6524.96 dollars.

Answer:

8 ounces

Step-by-step explanation:

First, you should convert the 1 1/2 pounds to ounces. (24 ounces) Once that is converted, you can then divide it by 3 to find how many blueberries you need. (24÷3=8) So now you can see that you need 8 ounces of blueberries for the pie.

Answer:

h = 2.25 m

Step-by-step explanation:

Given:

Speed = v = 12 ft/sec

Acceleration due to gravity = g = 32 ft/sec²

Required:

Height = h = ?

Formula:

v = [tex]\sqrt{2gh}[/tex]

Solution:

For h, the formula will be:

=> h = [tex]\frac{v^2}{2g}[/tex]

=> h = [tex]\frac{(12)^2}{2(32)}[/tex]

=> h = [tex]\frac{144}{64}[/tex]

=> h = 2.25 m

Answer: 7 minutes

Step-by-step explanation:

There is no n variable in the question, found the original question and the equations is: t = 2n – 3.

So, to answer this question we simply have to substitute n=5 in the equation given:

t = 2(5) – 3.

Solving for t(time)

t = 10-3 = 7 min.

It will take the customer 7 minutes to buy 5 coffees.

Feel free to ask for more if needed or if you did not understand something.  

Respuesta:

A la primera le vas a quitar 15 con cada número. A la segunda, todo lo multiplicas por 3 cada vez que vas avanzando.

265, 250 . . . 220, 205, 190, 175, 160, 145, 130, 115, 100, 185. ---------- 4, 12, 36, 108, 324, 972, 2,916, 8,748, 26,244, 78,732. ---------- 5, 20, 15, 40, 25, 60, 35, 80, 45, 90, 55, 100, 65, 110, 75. ---------- 30, 90, 270, 810, 2,430, 7,290, 21,870, 65,610, 196,830. ---------- 703125, 140625, 28125, 5625, 1125, 225, 45, 9. ---------- 36864, 9216, 2304, 576, 144, 36, 9, 2.25.

Answer:

y = 5x

Step-by-step explanation:

The y intercept is 0 since it crosses the y axis at 0

The slope is rise over run

From (0,0) we go up 5 and to the right 1

5/1 = 5

Slope = 5

The slope intercept equation is

y = mx+b where m is the slope and b is the y intercept

y = 5x+0

y = 5x

Answer:

y=5x

Step-by-step explanation:

Answer:

The answer is option C.

a number whose square root is a whole number

Hope this helps you

Answer:

C. a number whose square root is a whole number

Step-by-step explanation:

A number whose square root is a terminating decimal is not a perfect square.

A negative whole number cannot be a perfect square.

A number times itself is squared, the number itself is not a perfect square.

The correct answer is option C, a number whose square root is a whole number. For example: 4 is a perfect square.

[tex]\sqrt{4} =2[/tex]

The square root of a perfect square is always a whole number.

Answer:

60

Step-by-step explanation:

interior angles for a triangle is 180°

180 ÷ 3 sides = 60°

The given regular polygon is an equilateral triangle.

The measure of one interior angle of it is 60°.

The measure of one exterior angle is 120°.

For an n-sided polygon,

The sum of all interior angles = (n - 2)180°.

The sum of all exterior angles = 360°.

We know, that a regular polygon has all sides equal, all interior angles equal, and also all exterior angles equal.

Therefore,

The value of each interior angle of a regular polygon = (The sum of all interior angles)/n,

or, The value of each interior angle of a regular polygon = {(n - 2)180°}/n.

The value of each exterior angle of a regular polygon = (The sum of all exterior angles)/n,

or, The value of each exterior angle of a regular polygon = 360°/n.

In the question, we are asked to find the measure of one interior and one exterior angle of the given regular polygon.

The given regular polygon is a three-sided regular polygon, that is, it is an equilateral triangle.

∴ We can say that n = 3.

∴ The value of each interior angle of a regular polygon = {(n - 2)180°}/n.

or, The value of each interior angle of a regular polygon = {(3 - 2)180°}/3 = 180°/3 = 60°.

∴ The value of each exterior angle of a regular polygon = 360°/n.

or, The value of each exterior angle of a regular polygon = 360°/3 = 120°.

∴ The given regular polygon is an equilateral triangle.

The measure of one interior angle of it is 60°.

The measure of one exterior angle is 120°.

Learn more about regular polygons at

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Answer:

Step-by-step explanation:

Area of rectangle = length * width

Area of rectangle = 55x⁶ + 22x⁴

                             = 5*11*x⁶ + 2 *11*x⁴

                             = 11x⁴*(5x² + 2)

width = 11x⁴

So, length = 5x² + 2

Answer:

47.65 ice

Step-by-step explanation:

Hope this helps :)

Answer:

It's A

Step-by-step explanation:

i did the quiz

Answer:

1st Option

Step-by-step explanation:

Step 1: Convert radicals to exponents

[tex]\frac{(x^2)^{\frac{1}{7}} }{(y^3)^{\frac{1}{5} }}[/tex]

Step 2: Multiply exponents

[tex]\frac{x^{\frac{2}{7} } }{y^{\frac{3}{5} } }}[/tex]

Step 3: Move the y term

[tex](x^{\frac{2}{7} })(y^{\frac{-3}{5} })[/tex]

Answer:

30 is the correct choice.

Step-by-step explanation:

150 = {baseball} + {cricket} + {soccer} - {exactly 2 sports} - 2*{exactly 3 sports} + {none of the ports}

150 = 66 + 45 + 42 - 27 - 2*3 + {none of the ports}

--> {none of the ports} = 30

Best Regards!

Answer:

No

Step-by-step explanation:

Integers are whole numbers 1, 2, 3, 4, so on and so on

Answer:

No.

Step-by-step explanation:

Integers are whole numbers that are either negative or positive. They do not include decimals (if it did, it would then become a rational number, which 31.669 is).