whats the squareroot of 72 needs to be simplified

Answers

Answer 1

Answer: 6√2

Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36, then recognize 36 as a perfect square, 6 · 6.

There's no need to factor further because the 6's pair up

so a 6 comes out of the radical leaving a 2 inside.

So our answer is 6√2.

Always be on the lookout for perfect squares!

Work is attached below.

Whats The Squareroot Of 72 Needs To Be Simplified

Related Questions

Find the area of a circle with a diameter of 4.
Either enter an exact answer in terms of it or use 3.14 for 7 and enter your answer as a decimal.
units?

Answers

area of circle =22/7×4=12.56

Answer: 12.56

Explanation:

Find area of a circle:

Form: A = pi x d^2/4
d = 4 (given)
Pi = 3.14

=> A =3.14 x 4^2/4
A = 3.14 x 4
A = 12.56

what is the value of -19- (-18)?

Answers

Answer:

-1 is the answer

Step-by-step explanation:

I can't do the explanation of this question

Answer:

-1

Step-by-step explanation:-19 + 18 is basically how it is they end up canceling each other out except for the -1 which is the answer.

multiple choice
a. 12 pie cm
b. 21 pie cm
c. 35 pie cm

Answers

Answer:

The correct option is;

a. 12 pie cm

Step-by-step explanation:

Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;

Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same

The volume of the square based prism = 452 cm³

Therefore, the volume of the cylinder (of equal base area) = 452 cm³

The formula for the volume of square based prism = Area of base × Height

∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm

Which gives;

Area of the base of the square based prism  = 452/4 = 113 cm²

The area of the base of the cylinder [tex]A_c[/tex]  = The area of the base of the square based prism = 113 cm²

The area of the base of the cylinder,[tex]A_c[/tex]  is given by the following equation;

[tex]A_c[/tex] = π×r² = 113 cm²

r = √(113/π) = √35.97 ≈ √36  = 6 cm

The circumference of the base of the cylinder,[tex]C_c[/tex]  is given by the following equation

[tex]C_c[/tex] = 2×π×r ≈ 2×π×6 = 12×π cm

The correct option is 12 pie cm.

The distance of planet Mercury from the Sun is approximately 5.8. 107 kilometers, and the distance of planet Venus from the Sun is 1.1 . 108 kilometers. About how
many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun?
O 5.2. 107 kilometers
O 4.7. 108 kilometers
O 5.2. 108 kilometers
O 5.7. 109 kilometers

Answers

Answer: 1 is the answer

If the area of the rectangle shown below is given by the expression 3x2 + 7x – 6,
and the width is (x + 3), which of the following could represent the length?

Answers

Answer:

Step-by-step explanation:

3x² + 7x - 6 = 3x² + 9x - 2x - 2*3

                  = 3x (x + 3) - 2(x +3)

                  = (3x - 2)(x + 3)

Area of the rectangle = 3x² + 7x - 6

length * width = 3x² + 7x - 6

length * (x + 3) = (3x -2)(x +3)

          length = [tex]\frac{(3x-2)(x+3)}{(x+3)}[/tex]

          length = (3x - 2)

Find the measure of a.

Answers

Answer:

50 degrees

Step-by-step explanation:

We know that an inscribed angle in a circle is 1/2 the arc that it inscribes. So, therefore the arc is inscribed by the 25 degrees is 50. Assuming that the center of the circle is O, the center angle will be the arc measure. Knowing this, angle a is 50 degrees. If you're curious about all these theorems, they can be proved using similar triangles.

fyi, using the same logic, angle b is 25 degrees

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.

Answers

Answer:

Ok, our function is:

f(x) = 3*(x - 1)^2 + 2.

First, domain:

We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.

In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)

Then the domain is the set of all real numers.

Vertex:

Let's expand our function:

f(x) = 3*x^2 - 3*2*x + 1 + 2

f(x) = 3*x^2 -6*x + 2

The vertex of a quadratic function:

a*x^2 + b*x + c is at:

x = -b/2a

here we have:

a = 3 and b = -6

x = 6/2*3 = 6/6 = 1.

And the value of y at that point is:

f(1) = 3*(1 - 1)^2 + 2 = 2

Then the vertex is at: (1, 2)

Range:

The range is the set of all the possible values of y.

Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.

Then the minimal value of our quadratic function is the value at the vertex, y = 2.

This means that the range can be written as:

R = y ≥ 2

So the range is the set of all real numbers that are larger or equal than 2.

For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5

Answers

Answer:

The correct option is;

D x + y ≤ -4, 3·x + 2·y  ≤-5

Step-by-step explanation:

A. For the system of inequality, x + y < -4, 3·x + 2·y  <-5

We have;

y < -4 - x, When x = 3, y < -7

y < -2.5 - 1.5·x, When x = 3, y = -7

B. For the system of inequality, x + y ≤ -4, 3·x + 2·y  <-5

We have;

y ≤ -4 - x, When x = 3, y ≤ -7

y < -2.5 - 1.5·x, When x = 3, y < -7

C. For the system of inequality, x + y < -4, 3·x + 2·y  ≤-5

We have;

y < -4 - x, When x = 3, y < -7

y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7

D. For the system of inequality, x + y ≤ -4, 3·x + 2·y  ≤-5

We have;

y ≤ -4 - x, When x = 3, y ≤ -7

y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7

Therefore, the system of inequality for which (3, -7) is a solution is D, x + y ≤ -4, 3·x + 2·y  ≤-5.

which of the following are remote interior angles of <6? check all that apply

Answers

Answer:

C. <3, E. <1

Step-by-step explanation:

A triangle has 3 vertices, so it has exactly 3 interior angles, one at each vertex.

A triangle has 2 exterior angles at each vertex, so a triangle has 6 exterior angles. Each exterior angle is adjacent to an interior angle. The interior angles that are not adjacent to an exterior angle are that exterior angle's remote interior angles.

<6 is an exterior angle of the triangle. <5 is the other exterior angle at that vertex. <2 is an interior angle of the triangle and is adjacent to <6, so <2 is not a remote interior angle to <6.

The other two interior angles of the triangle are <1 and <3.

<1 and <3 are interior angles that are not adjacent to <6, so they are the remote interior angles to <6.

Answer: <1, <3

Properties and characteristics of sum and difference of two cubes.

Answers

Answer:

The properties and characteristics of the sum of two cubes

1) In the sum of two cubes, the middle sign of the binomial factor on the right hand side of the equation is positive

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the sum of two cubes

The properties and characteristics of the difference of two cubes

1) In the difference of two cubes, the middle sign of the binomial factor on the right hand side of the equation is always negative

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the difference of two cubes

Step-by-step explanation:

The sum and difference of two cubes are;

a³ + b³, and a³ - b³

Factorizing the expressions for the sum and difference of two cubes can be shown as follows;

Sum of two cubes; a³ + b³ = (a + b) × (a² - a·b + b²)

Difference of two cubes; a³ - b³ = (a - b) × (a² + a·b + b²).

a cone with base radius 7 cm has a volume of 308 cm cube find the vertical height of the cone take π 22/7​
pls now

Answers

Answer:

h=6.003 cm

Step-by-step explanation:

[tex] \frac{1}{3} \pi {r}^{2} h \: \: is \: the \: volume \: of \: cone[/tex]

1/3×22/7×7×7×h=308

h=308/51.3

Answer:

h = 6 cm

Step-by-step explanation:

r = 7 cm

Volume of cone = 308 cm³

[tex]\frac{1}{3}\pi r^{2}h=308\\\\\\\frac{1}{3}*\frac{22}{7}*7*7*h=308\\\\\\h=\frac{308*3*7}{22*7*7}\\\\\\h=2*3[/tex]

h = 6 cm

What x value solves the equation? 3x – 5 = 1 x =

Answers

Answer:

x = 2

Step-by-step explanation:

3x - 5 = 1

Adding 5 to both sides gives us:

3x - 5 + 5 = 1 + 5

3x = 6

Dividing the equation by 3 gives us:

3x / 3 = 6 / 3

x = 2

Answer:

x = 2 Hfizfifsits96eotst9s

SOMEBODY HELP PLEASE! ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

SMALL SIZE :

AMOUNT OF LIQUID = 250 milliliters

Sales price = $4.50

Cost per milliliter :

Sales price / amount of liquid

$4.50 / 250 = $0.018

MEDIUM SIZE :

AMOUNT OF LIQUID = 500 milliliters

Sales price = $9.95

Cost per milliliter :

Sales price / amount of liquid

$9.95 / 500 = $0.0199

= $0.020 ( 3 decimal places)

LARGE SIZE :

AMOUNT OF LIQUID = 1 LITRE = 1000 milliliters

Sales price = $16.95

Cost per milliliter :

Sales price / amount of liquid

$16.95 / 500 = $0.0199

= $0.01695

= $0.017 ( 3 decimal places)

A) LARGE < SMALL < MEDIUM

B) LEAST EXPENSIVE WAY TO BUY 1500 milliliters of green cleaner :

1 large size + 2 small sizes

$16.95 + 2($4.50)

$16.95 + $9.00

= $25.95

C.) MOST EXPENSIVE WAY TO BUY 1500 milliliters of green cleaner :

3 medium sizes

3 * ($9.95)

$29.85

The sum of the cubes of 3 numbers which are in the ratio 1:2:3 is 7776. Find the numbers

Answers

the numbers - [tex]x,2x,3x[/tex]

[tex]x^3+(2x)^3+(3x)^3=7776\\x^3+8x^3+27x^3=7776\\36x^3=7776\\x^3=216\\x=6\\2x=12\\3x=18[/tex]

6,12,18

what is this equation in simplest form? 9x + 26 + 7x - 17 = 2x + (-3x) + 5x

Answers

Answer:

4x+3=0 or x=-3/4

Step-by-step explanation:

9x+26+7x-17=2x-3x+5x

arrange all numbers with coefficient x at one side let's say the left hand side and constant or real numbers at the right hand side in doing that we get

9x+7x-2x+3x-5x=17-26

12x=-9

(12x)/3=-9/3

4x=-3

x=-3/4

what is the no solution, the one solution, and the infinitely many solution of 2x+5+2x+3x

Answers

Answer:

This problem shows an expression, not an equation.

It cannot be solved.

An equation needs an equal sign.

Covert the verbal expression into an algebraic expression.
The product of 23 and a number x​

Answers

Answer:

23×x

=23x

Hope it helps

Answer:

23x

Step-by-step explanation:

"The product of" indicates that we will be multiplying the two quantities. 23 multiplied by x can be written as 23 * x which simplifies to 23x.

A pair of dice is rolled. What is the probability that the sum of the two dice will be greater than 8 given that the first die rolled is a 5?

Answers

Answer:

1/2

Step-by-step explanation:

First die rolled 5

Second die can roll 1, 2, 3, 4, 5, 6

Only if the second die rolls 4, 5, 6 will the sum be greater than 8.

p(sum > 8) = 3/6 = 1/2

Answer: 1/2

Step-by-step explanation:

First die rolled 5

Second die can roll 1, 2, 3, 4, 5, 6

Only if the second die rolls 4, 5, 6 will the sum be greater than 8.

p(sum > 8) = 3/6 = 1/2

The digits of a 2 digit number differ by 3. Is the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the number?

Answers

Answer:

58

Step-by-step explanation:

Hello, let's note the two digits a and b. the first number 'ab' can be written as 10a +b. For instance if this is 24 it can be written 20 + 4.

If the digits are interchanged the number become 'ba' so 10b + a

We can say that 10a + b + 10b + a = 143

11(a+b)=143

We divide by 13 both sides and we take

a+b = 143/11 = 13

and we know that the digits differ by 3 so b = a + 3

then a + b = a + 3 + a = 2a + 3 = 13

so 2a = 10 and then a = 5

Finally, b = 5+3=8 so the number is 58.

And we can verify that 58 + 85 = 143.

Thanks

Answer:

Let the unit digit be x and tens digit be x + 3

Therefore, the original number = 10(x + 3) + x

On interchanging, the number formed = 10x + x + 3

❍ According to Question now,

➥ 10(x + 3) + x + 10x + x + 3 = 143

➥ 10x + 30 + 12x + 3 = 143

➥ 22x + 33 = 143

➥ 22x = 143 - 33

➥ 22x = 110

➥ x = 110/22

x = 5

__________________...

Therefore,

The unit digit number = x = 5

The tens digit number = x + 3 = 5 + 3 = 8

__________________...

The original number = 10(x + 3) + x

The original number = 10(5 + 3) + 5

The original number = 50 + 30 + 5

The original number = 85

Hence,the original number is 85.

ASAP how many solutions are there for the system of equations shown on the graph?

Answers

Answer: Infinitely many solutions

Step-by-step explanation:

The lines is on top of each other so this makes it many solution.

It can't be NO solution because the lines are not parallel  to each, which means  they will not intersect.

It  can't be one solution because the lines doesn't intersect.

It can't be two solutions because the lines never intersect and they never intersect twice either.

Many Solutions is the answer

A 4-pack of greeting cards costs $7.40. What is the unit price?pls answer fast

Answers

Answer:

The unit price of the problem is that one pack of greeting cards costs $1.85

Step-by-step explanation:

In order to find the unit rate, you have to divide the price by the quantity of the product. So, we will divide 7.40 by 4 so we can see the price of one pack.

7.40 ÷ 4 = 1.85

So, one pack of greeting cards costs $1.85 which is also our unit price.

Answer:

1.85

Step-by-step explanation:

First, divided the money ( $7.40 ) by the whole number ( 4 )

Then, you will receive your answer

factorize 12p2q -9q2​

Answers

Answer:

[tex] \boxed{3q(4 {p}^{2} - 3q)}[/tex]

Step-by-step explanation:

[tex] \mathsf{ 12 {p}^{2} q - 9 {q}^{2} }[/tex]

In such an expression, the factor which is present in all terms of the expression is taken out as common and each term of the expression should be divided by the common factor to get another factor.

Factor out 3q from the expression

[tex] \mathsf{ = 3q(4 {p}^{2} - 3q)}[/tex]

Hope I helped!

Best regards!

Factorization of 12p²q-9q² is  3q(4p²-3q).

What is Factorization?

Factorization is defined as breaking an entity into a product of another entity, or factors, which when multiplied together give the original number.

Here, given expression is,   12p²q-9q²

Now, by factorizing this we get,

3q(4p²-3q)

Hence, required factorization is 3q(4p²-3q)

To learn more on factorization click:

https://brainly.com/question/14549998

#SPJ2

Find the value of p.

Answers

Answer:

[tex]\huge\boxed{p = 3}[/tex]

Step-by-step explanation:

7p + 7 = 37 - 3p (They both are equal)

7p + 3p = 37-7

10p = 30

Dividing both sides by 10

p = 3

Answer:

p=3

Step-by-step explanation:

7p+7=37-3p

7p[+3p]+7=37-3p[+3p]

10p+7=37

10p+7[-7]=37[-7]

10p=30

10p/10=30/10

p=3

I hope this helps!

1. Is the function g(x) increasing or decreasing over the interval -2 < x <-1?


2. the function h(x) increasing or decreasing over the interval -2 < x <-1?

Answers

Answer:

g(x) increasing

h(x) decreasing

Step-by-step explanation:

Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing

Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

196

Step-by-step explanation:

Surface area of a cuboid:

2 ( lw + wh + hl)

L = Length

W = Width

H = Height

Area of the base = 30 = lw; So we could take the length as 15 cm and width as 2 cm.

Volume = lwh; 15 x 2 x (4); So 4 is the height

So, 2 ( lw + wh + hl)

= 2 (15 x 2 + 2 x 4 + 4 x 15)

= 2 (30 + 8 + 60)

= 2 (98)

= 196 is the surface area of cuboid

Simplify $\frac{3}{2 \sqrt 3 - 3}.$[tex]Simplify $\frac{3}{2 \sqrt 3 - 3}.$[/tex]

Answers

Answer:

[tex]2\sqrt{3}+3[/tex]

Step-by-step explanation:

[tex]$\frac{3}{2 \sqrt 3 - 3}$[/tex]

Rationalize the fraction.

[tex]$\frac{3}{2 \sqrt 3 - 3}\cdot \frac{2 \sqrt 3 + 3}{2 \sqrt 3 + 3} =\frac{6\sqrt{3}+9 }{12-9} =\frac{6\sqrt{3}+9 }{3} =2\sqrt{3}+3 $[/tex]

Note that I used the positive signal because we would have a difference of squares.

The area of a rectangle is 90 ft2. If the rectangle is 9 feet long, what is its width?

Answers

Answer:

10

Step-by-step explanation:

just divide 90 by 0 and u will get the answer

Answer:

10ft

Step-by-step explanation:

To find the area of a rectangle, it is width✖️height.

Because the area and the height is given,

Area: 90ft^2

Height: 9ft.

to find the width, you need to divide 90/9=10

So, the width is 10ft.

To check just in case, you can multiply 10 ✖️9=90

Hope this helped, have a nice day!

For each function, determine if it intersects or is parallel to the line y = -1.5x. If it
intersects the line, find the intersection point.
y =0.5x +4
PLEASE ANSWER I HAVE 25 MINUTES LEFT PLEASE

Answers

Answer:

Intersects; intersection point: (-2,3)

Step-by-step explanation:

Substitute -1.5x for y into y=0.5x+4:

-1.5x = 0.5x +4

-1.5x - 4 = 0.5x

-4 = 2x

x = -2

Plug in -2 for x into y=-1.5x

y = -1.5(-2)

y = 3

Organize the x and y values into an ordered pair:

(-2,3)

Answer:

y=0.5x+4 intersects y=-1.5x.

The intersection point is (-2,3)

Step-by-step explanation:

First, note that if two lines are not parallel, then they must intersect eventually in one way or another. Note that since these are two lines, they will only have one intersection points.

So we have the equation:

[tex]y=-1.5x[/tex]

Parallel lines have the same slope. Therefore, a line parallel to this line also has a slope of -1.5

The equation given to us is:

[tex]y=0.5x+4[/tex]

As we can see, this does not have a slope of -1.5. Therefore, the given equation is not parallel to y=-1.5x. However, this does mean that it will intersect y=-1.5x.

To find the x-value of their intersection, simply set the equations equal to each other and solve for x.

[tex]-1.5x=0.5x+4\\-2x=4\\x=-2[/tex]

Now, plug -4 into either of the equations:

[tex]y=-1.5(-2)=3\\y=0.5(-2)+4=-1+4=3[/tex]

Therefore, the point of intersection is (2,3).

Which phrase best describes the relationship indicates by the scatter plotting?

Answers

Answer: negative correlation

Step-by-step explanation: If you look at the points in this graph here, I would say that those points are very close to a perfect line.

Notice that the slope of the line is negative.

This means it will be a negative correlation.

So the line is a very good estimate of the points.

HELLLLLPPPPP FASTTTT
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction Negative 3 Negative 2 and one-half 7 7 and one-half

Answers

Answer:

The best estimated value of the expression is negative 3

Step-by-step explanation:

What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction

Solution

(34 / 8) - (16 / 3) - (14 / 9)

= 34/8 - 16/3 - 14/9

Find the sum

= 306 - 384 - 112 / 72

= -190 / 72

= -2 46 / 72

= -2 23 / 36

= -2.6389

Approximately -3

The best estimated value of the expression is negative 3

Answer:

The answer is -2 1/2,

Step-by-step explanation:

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(x-1)(1+3)>0, x complete the table of values for y=-x^2+2x+1 Food microbiologists are scientists who have a background in both microbiology and food science. They focus on how microbes grow, cause disease, and how they can be identified from food. Their work is of importance to the food industry as it relates to the production, preservation, and spoilage of food; and it is of importance to public health and regulatory agencies due to the many diseases that are related to food intake and consumption. Food microbiologists can have varying backgrounds, including training in veterinary medicine. This scenario is about a food microbiologist who works as a food safety inspector who pays a visit to a cheese manufacturing plant and makes some interesting discoveries!Part A-Understanding the Role of Microbes in Fermentation The Midwest is known for its contribution to the dairy industry Fermented dairy products include milk, yogurt, and cheese. The fermentation process relies on lactic acid bacteria and pasteurization. Fermentation can vary based on what food is being produced, the type of bacteria used to produce lactic acid, and the time and temperature of pasteurization. It is important to the manufacturer to produce a product that won't spoil before it is packaged and sold and that won't result in disease for those who ingest and enjoy it. Julie, a food inspector for a local Michigan health department is going to a nearby cheese plant for a biannual inspection. When she gets there, she will take a tour of the plant and allow the operators to describe what makes their cheese so special. She will use what she understands about fermentation to inquire about their production practices Please sort the following statements as being true or false regarding fermentation and its role in food production. Please recall the role that microorganisms can play in the production of foods. 1. Fermentation allows for sugars to be broken down 2. Starter cutures are for the growth of pathogens or the food such as bread, vegetables, and n food Some grains, fruits, and 3. Fermentation can be used only to Bacteria ane the only have their own microbes that used in the Correct Statements All the following requirements must be satisfied before premiums are waived under a waiver-of-premium provision EXCEPT: Group of answer choices The insured must satisfy the definition of disability in the policy. The insured must furnish proof of disability to the insurer. The insured must satisfy a 2-year waiting period. The insured must be disabled before some predetermined age, such as age 60 or 65. Firm M has a margin of 7%, turnover of 2.0, sales of $910,000, and average stockholders' equity of $490,000. Required: Calculate Firm Ms average total assets, net income, return on investment (ROI), and return on equity (ROE A NASDAQ security is bid at $30.25 and offered at $30.75. An over-the-counter trader effects a trade at $30.75 and charges a commission of $.50 to the customer. The price that will show on the tape is: Please answer this question now Determine the gradient and the co-ordinates of the x and y intercept of line whose equation is 2y + 3x = 1 Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12ms que el otro. Cunto ganan cada uno de ellos? Physics QuestionWhich of the following terms describes the measure of how cold somethingis?O A. ConvectionB. DensityO C. TemperatureO D. Heat Find the area of the composite figure in terms of the figure (use 3.14 for pi) a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres A group of 22 students participated in a math competition