use the correct order of operations to calculate5 1/2 * 4 1/2 -7/2/ 2 1/3​

Answer:

the answer is 10•57(approximated as 10•6)

Answer:   [tex]\sqrt{3}+\sqrt{5}[/tex]

On a keyboard, we could type this as sqrt(3) + sqrt(5)

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Explanation:

The given expression is considered a nested radical because one radical, the [tex]\sqrt{15}[/tex], is buried inside another radical.

Let's assume that nested radical is of the form [tex]\sqrt{a}+\sqrt{b}[/tex] where a & b are positive real numbers.

Set the given expression equal to [tex]\sqrt{a}+\sqrt{b}[/tex] and square both sides to see what happens. We'll do a bit of algebra to simplify and rearrange things a bit as well. See the steps below.

[tex]\sqrt{8+2\sqrt{15}} = \sqrt{a}+\sqrt{b}\\\\\left(\sqrt{8+2\sqrt{15}}\right)^2 = \left(\sqrt{a}+\sqrt{b}\right)^2\\\\8+2\sqrt{15} = \left(\sqrt{a}\right)^2 + 2\sqrt{a}\sqrt{b} + \left(\sqrt{b}\right)^2\\\\8+2\sqrt{15} = a + 2\sqrt{ab} + b\\\\8+2\sqrt{15} = (a+b) + 2\sqrt{ab}\\\\[/tex]

If we equate terms, we get this system of equations

[tex]\begin{cases}8 = a+b\\2\sqrt{15} = 2\sqrt{ab}\\\end{cases}[/tex]

Solve the first equation for 'a' to get a = 8-b

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Let's plug a = 8-b into the second equation and solve for 'b'

[tex]2\sqrt{15} = 2\sqrt{ab}\\\\\sqrt{15} = \sqrt{ab}\\\\15 = ab\\\\15 = (8-b)b \ \ \text{ .... replace a with 8-b}\\\\15 = 8b-b^2\\\\b^2-8b+15 = 0\\\\(b-3)(b-5) = 0\\\\b-3 = 0 \ \text{ or } \ b-5 = 0\\\\b = 3 \ \text{ or } \ b = 5\\\\[/tex]

If b = 3, then a = 8-b = 8-3 = 5

If b = 5, then a = 8-b = 8-5 = 3

We have this symmetry going on with 'a' and b. If one value is 3, then the other is 5, and vice versa. The order doesn't matter.

That means the equation

[tex]\sqrt{8+2\sqrt{15}} = \sqrt{a}+\sqrt{b}\\\\[/tex]

updates to

[tex]\sqrt{8+2\sqrt{15}} = \sqrt{3}+\sqrt{5}\\\\[/tex]

The order doesn't matter on the right side since we can add two numbers in any order.

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You can use your calculator to confirm the answer.

Note that

[tex]\sqrt{8+2\sqrt{15}} \approx 3.968118785[/tex]

and

[tex]\sqrt{3}+\sqrt{5} \approx 3.968118785[/tex]

both result in the same decimal approximation to help show the two sides are equal.

Step-by-step explanation:

the answer is 35 if he want the degree of c in RCD trangle

and if you want the RCD and The PCD deegrees total its 70

Answer:

The answer is 19.2 miles your welcome

Step-by-step explanation:

Answer:

17cm

Step-by-step explanation:

Using Pythagoras Theorem,

AB =[tex] \sqrt{ {15}^{2} + {8}^{2} } [/tex]

[tex] = \sqrt{289} [/tex]

= 17 cm

Step-by-step explanation:

x²=5x+4

hope it helps.

Answer:

[tex]x=20[/tex]°

Step-by-step explanation:

→ [tex]x+100+3x=180[/tex]

→ [tex]4x+100=180[/tex]

→ [tex]4x=180-100[/tex]

→ [tex]4x=80[/tex]

→ [tex]x=\frac{80}{4}=20[/tex]

[tex]x=20[/tex]°

[tex]---------[/tex]

hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

the "answer" below is why the brainly community, most of it atleast is shi

Answer:

[tex] \frac{3}{x} \times \frac{4}{7} = \frac{3}{14} \\ \frac{12}{7x} = \frac{3}{14} \\ 21x = 168 \\ x = \frac{168}{21} \\ x = 8[/tex]

Answer:

i think it would be 17

Step-by-step explanation:

sorry if its wrong

Answer:

9.33333333333, or 9, or 9.3

Step-by-step explanation:

Answer:

A= 30 sq feet

? = 5 feet

Step-by-step explanation:

if the total area is 104 square feet and we know where 44 square feet of that is accounted for that leaves 60 square feet so both A sections are equal so we can divide 60 by 2 to get 30 square feet. So "A" is 30 square feet.

to get "?" we need to find the other measurement for the 10 square foot sections, the easiest way to find that is 10 divided by 2 ( which is the measurement we already have), once we do this we get 5 feet, and because 5 feet is the height measurement for that part of the net diagram we know that the "?" will need to be 5 as well because it is also a height measurement.

Answer:

No

Step-by-step explanation:

3(x+2) = y

3(4+2) = 9

3(6) = 9

18 does NOT equal 9

Answer:

you will need to know what's his gross monthly income and multiply by 25%that will give you the amount of taxes withheld and then subtract that from gross monthly income and that will give you Monthly take home pay.

Answer:

9

Step-by-step explanation:

to find the whole number of this fraction all you have to do is do the top number divided by the bottom so... 36 ÷ 4 = 9 and we get 9 Hopefully that helps!

Answer:

y=3/2x+19/2

Step-by-step explanation:

Step-by-step explanation:

Solve for y = 19/2+3x/2

y=3/2x+19/2

Slope3/2

Y-intercep 19/2

x|y

1 |11

3|14

Graph the line using slope and the y-intercep, or the points y-19/2

Answer:

x = 17 (When rounded to the nearest decimal place )

Answer:

This is not my answer, it was done by another expert in Brainly.

We are given:  

csc (0) * sin (0)  

This is to be simplified using trigonometric identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

then,  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

Answer:

5.5 cubic units

Step-by-step explanation:

good luck

1. It is a quadratic equation.

Explanation:

A quadratic equation is any equation that can be rearranged in standard form (ax^2 + bx + c). That equation can be rewritten as -x^2 + 1, where a is -1, b is 0, and c is 1.

2.  4x^2, 3x, and 5.

Explanation:

A quadratic term is ax^2 in the formula ax^2 + bx + c. A linear term is bx in the formula, and a constant is c in the formula.

Answer:

Step-by-step explanation:

y= -1/4x

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that [tex]\mu = 0.6h[/tex], in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that [tex]h = 8, \mu = 0.6(8) = 4.8[/tex].

The probability is P(X = 4).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203[/tex]

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Answer:

-8 yd. lost in football

Step-by-step explanation:

Henry cut 1.5 m of the wire.

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,

Henry cut 12.5% of the 12 m wire, which is:

= 0.125 x 12 m

= 1.5 m

Therefore,

Henry cut 1.5 m of the wire.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

9514 1404 393

Answer:

  QT = 16

  VQ = 24

Step-by-step explanation:

The centroid divides each median into parts that have the ratio 1:2. The short length is the one from the centroid to the side (VT); the long length is the one from the centroid to the vertex (QT).

VT : QT = 1 : 2 = 8 : 16

VQ = VT +QT = 8 + 16 = 24

__

QT = 16

VQ = 24

Answer:

D)6x^4+3x^3y

Step-by-step explanation:I hope this helps,good luck with everything,have a nice day.

Answer:

You would need 1/8 cup of flour.

Step-by-step explanation:

Multiply 1/4 and 1/2.

Answer:

1/8 cups

Step-by-step explanation:

Answer:

[tex]r \geqslant - 5 [/tex]

Step-by-step explanation:

[tex]50 - 4r \leqslant 70[/tex]

[tex] - 4r \leqslant 20[/tex]

[tex] \frac{ - 4r}{ - 4} \geqslant \frac{20}{ - 4} [/tex]

[tex]r \geqslant - 5[/tex]

Answer:

The best measure of center for a set of data is the median value.

To find the median list the values from

Smallest to largest:

0, 0, 1, 1, 2,2, 2, 14

Since there is an even number of values, find the middle two numbers, add them together and divide by 2:

1+2 = 3

3/2 = 1.5

The answer is median 1.5

Step-by-step explanation:

plz brain list

Attached is a graph showing y=1/2x-3